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) 2006 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/static_map.h> |
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26 | #include <lemon/bits/graph_extender.h> |
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27 | |
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28 | #include <lemon/invalid.h> |
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29 | #include <lemon/utility.h> |
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30 | |
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31 | |
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32 | ///\ingroup graphs |
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33 | ///\file |
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34 | ///\brief FullGraph and UndirFullGraph classes. |
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35 | |
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36 | |
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37 | namespace lemon { |
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38 | |
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39 | class FullGraphBase { |
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40 | int _nodeNum; |
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41 | int _edgeNum; |
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42 | public: |
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43 | |
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44 | typedef FullGraphBase Graph; |
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45 | |
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46 | class Node; |
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47 | class Edge; |
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48 | |
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49 | public: |
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50 | |
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51 | FullGraphBase() {} |
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52 | |
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53 | |
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54 | ///Creates a full graph with \c n nodes. |
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55 | void construct(int n) { _nodeNum = n; _edgeNum = n * n; } |
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56 | /// |
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57 | // FullGraphBase(const FullGraphBase &_g) |
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58 | // : _nodeNum(_g.nodeNum()), _edgeNum(_nodeNum*_nodeNum) { } |
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59 | |
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60 | typedef True NodeNumTag; |
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61 | typedef True EdgeNumTag; |
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62 | |
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63 | ///Number of nodes. |
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64 | int nodeNum() const { return _nodeNum; } |
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65 | ///Number of edges. |
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66 | int edgeNum() const { return _edgeNum; } |
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67 | |
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68 | /// Maximum node ID. |
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69 | |
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70 | /// Maximum node ID. |
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71 | ///\sa id(Node) |
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72 | int maxNodeId() const { return _nodeNum-1; } |
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73 | /// Maximum edge ID. |
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74 | |
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75 | /// Maximum edge ID. |
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76 | ///\sa id(Edge) |
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77 | int maxEdgeId() const { return _edgeNum-1; } |
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78 | |
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79 | Node source(Edge e) const { return e.id % _nodeNum; } |
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80 | Node target(Edge e) const { return e.id / _nodeNum; } |
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81 | |
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82 | |
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83 | /// Node ID. |
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84 | |
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85 | /// The ID of a valid Node is a nonnegative integer not greater than |
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86 | /// \ref maxNodeId(). The range of the ID's is not surely continuous |
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87 | /// and the greatest node ID can be actually less then \ref maxNodeId(). |
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88 | /// |
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89 | /// The ID of the \ref INVALID node is -1. |
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90 | ///\return The ID of the node \c v. |
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91 | |
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92 | static int id(Node v) { return v.id; } |
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93 | /// Edge ID. |
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94 | |
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95 | /// The ID of a valid Edge is a nonnegative integer not greater than |
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96 | /// \ref maxEdgeId(). The range of the ID's is not surely continuous |
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97 | /// and the greatest edge ID can be actually less then \ref maxEdgeId(). |
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98 | /// |
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99 | /// The ID of the \ref INVALID edge is -1. |
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100 | ///\return The ID of the edge \c e. |
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101 | static int id(Edge e) { return e.id; } |
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102 | |
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103 | static Node nodeFromId(int id) { return Node(id);} |
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104 | |
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105 | static Edge edgeFromId(int id) { return Edge(id);} |
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106 | |
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107 | typedef True FindEdgeTag; |
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108 | |
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109 | /// Finds an edge between two nodes. |
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110 | |
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111 | /// Finds an edge from node \c u to node \c v. |
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112 | /// |
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113 | /// If \c prev is \ref INVALID (this is the default value), then |
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114 | /// It finds the first edge from \c u to \c v. Otherwise it looks for |
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115 | /// the next edge from \c u to \c v after \c prev. |
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116 | /// \return The found edge or INVALID if there is no such an edge. |
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117 | Edge findEdge(Node u,Node v, Edge prev = INVALID) const { |
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118 | return prev.id == -1 ? Edge(*this, u.id, v.id) : INVALID; |
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119 | } |
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120 | |
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121 | |
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122 | class Node { |
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123 | friend class FullGraphBase; |
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124 | |
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125 | protected: |
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126 | int id; |
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127 | Node(int _id) : id(_id) {} |
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128 | public: |
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129 | Node() {} |
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130 | Node (Invalid) : id(-1) {} |
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131 | bool operator==(const Node node) const {return id == node.id;} |
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132 | bool operator!=(const Node node) const {return id != node.id;} |
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133 | bool operator<(const Node node) const {return id < node.id;} |
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134 | }; |
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135 | |
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136 | |
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137 | |
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138 | class Edge { |
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139 | friend class FullGraphBase; |
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140 | |
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141 | protected: |
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142 | int id; // _nodeNum * target + source; |
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143 | |
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144 | Edge(int _id) : id(_id) {} |
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145 | |
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146 | Edge(const FullGraphBase& _graph, int source, int target) |
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147 | : id(_graph._nodeNum * target+source) {} |
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148 | public: |
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149 | Edge() { } |
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150 | Edge (Invalid) { id = -1; } |
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151 | bool operator==(const Edge edge) const {return id == edge.id;} |
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152 | bool operator!=(const Edge edge) const {return id != edge.id;} |
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153 | bool operator<(const Edge edge) const {return id < edge.id;} |
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154 | }; |
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155 | |
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156 | void first(Node& node) const { |
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157 | node.id = _nodeNum-1; |
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158 | } |
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159 | |
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160 | static void next(Node& node) { |
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161 | --node.id; |
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162 | } |
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163 | |
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164 | void first(Edge& edge) const { |
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165 | edge.id = _edgeNum-1; |
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166 | } |
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167 | |
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168 | static void next(Edge& edge) { |
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169 | --edge.id; |
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170 | } |
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171 | |
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172 | void firstOut(Edge& edge, const Node& node) const { |
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173 | edge.id = _edgeNum + node.id - _nodeNum; |
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174 | } |
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175 | |
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176 | void nextOut(Edge& edge) const { |
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177 | edge.id -= _nodeNum; |
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178 | if (edge.id < 0) edge.id = -1; |
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179 | } |
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180 | |
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181 | void firstIn(Edge& edge, const Node& node) const { |
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182 | edge.id = node.id * _nodeNum; |
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183 | } |
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184 | |
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185 | void nextIn(Edge& edge) const { |
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186 | ++edge.id; |
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187 | if (edge.id % _nodeNum == 0) edge.id = -1; |
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188 | } |
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189 | |
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190 | }; |
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191 | |
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192 | typedef StaticMappableGraphExtender< |
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193 | IterableGraphExtender< |
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194 | AlterableGraphExtender< |
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195 | GraphExtender<FullGraphBase> > > > ExtendedFullGraphBase; |
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196 | |
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197 | /// \ingroup graphs |
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198 | /// |
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199 | /// \brief A full graph class. |
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200 | /// |
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201 | /// This is a simple and fast directed full graph implementation. |
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202 | /// It is completely static, so you can neither add nor delete either |
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203 | /// edges or nodes. |
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204 | /// Thus it conforms to |
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205 | /// the \ref concept::StaticGraph "StaticGraph" concept |
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206 | /// \sa concept::StaticGraph. |
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207 | /// |
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208 | /// \author Alpar Juttner |
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209 | class FullGraph : public ExtendedFullGraphBase { |
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210 | public: |
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211 | |
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212 | FullGraph(int n) { construct(n); } |
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213 | }; |
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214 | |
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215 | |
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216 | class UndirFullGraphBase { |
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217 | int _nodeNum; |
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218 | int _edgeNum; |
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219 | public: |
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220 | |
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221 | typedef UndirFullGraphBase Graph; |
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222 | |
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223 | class Node; |
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224 | class Edge; |
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225 | |
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226 | public: |
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227 | |
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228 | UndirFullGraphBase() {} |
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229 | |
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230 | |
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231 | ///Creates a full graph with \c n nodes. |
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232 | void construct(int n) { _nodeNum = n; _edgeNum = n * (n - 1) / 2; } |
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233 | /// |
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234 | // FullGraphBase(const FullGraphBase &_g) |
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235 | // : _nodeNum(_g.nodeNum()), _edgeNum(_nodeNum*_nodeNum) { } |
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236 | |
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237 | typedef True NodeNumTag; |
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238 | typedef True EdgeNumTag; |
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239 | |
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240 | ///Number of nodes. |
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241 | int nodeNum() const { return _nodeNum; } |
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242 | ///Number of edges. |
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243 | int edgeNum() const { return _edgeNum; } |
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244 | |
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245 | /// Maximum node ID. |
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246 | |
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247 | /// Maximum node ID. |
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248 | ///\sa id(Node) |
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249 | int maxNodeId() const { return _nodeNum-1; } |
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250 | /// Maximum edge ID. |
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251 | |
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252 | /// Maximum edge ID. |
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253 | ///\sa id(Edge) |
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254 | int maxEdgeId() const { return _edgeNum-1; } |
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255 | |
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256 | Node source(Edge e) const { |
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257 | /// \todo we may do it faster |
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258 | return Node(((int)sqrt((double)(1 + 8 * e.id)) + 1) / 2); |
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259 | } |
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260 | |
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261 | Node target(Edge e) const { |
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262 | int source = ((int)sqrt((double)(1 + 8 * e.id)) + 1) / 2;; |
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263 | return Node(e.id - (source) * (source - 1) / 2); |
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264 | } |
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265 | |
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266 | |
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267 | /// Node ID. |
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268 | |
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269 | /// The ID of a valid Node is a nonnegative integer not greater than |
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270 | /// \ref maxNodeId(). The range of the ID's is not surely continuous |
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271 | /// and the greatest node ID can be actually less then \ref maxNodeId(). |
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272 | /// |
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273 | /// The ID of the \ref INVALID node is -1. |
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274 | ///\return The ID of the node \c v. |
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275 | |
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276 | static int id(Node v) { return v.id; } |
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277 | /// Edge ID. |
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278 | |
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279 | /// The ID of a valid Edge is a nonnegative integer not greater than |
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280 | /// \ref maxEdgeId(). The range of the ID's is not surely continuous |
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281 | /// and the greatest edge ID can be actually less then \ref maxEdgeId(). |
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282 | /// |
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283 | /// The ID of the \ref INVALID edge is -1. |
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284 | ///\return The ID of the edge \c e. |
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285 | static int id(Edge e) { return e.id; } |
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286 | |
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287 | /// Finds an edge between two nodes. |
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288 | |
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289 | /// Finds an edge from node \c u to node \c v. |
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290 | /// |
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291 | /// If \c prev is \ref INVALID (this is the default value), then |
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292 | /// It finds the first edge from \c u to \c v. Otherwise it looks for |
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293 | /// the next edge from \c u to \c v after \c prev. |
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294 | /// \return The found edge or INVALID if there is no such an edge. |
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295 | Edge findEdge(Node u, Node v, Edge prev = INVALID) const { |
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296 | if (prev.id != -1 || u.id <= v.id) return -1; |
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297 | return Edge(u.id * (u.id - 1) / 2 + v.id); |
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298 | } |
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299 | |
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300 | typedef True FindEdgeTag; |
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301 | |
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302 | |
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303 | class Node { |
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304 | friend class UndirFullGraphBase; |
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305 | |
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306 | protected: |
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307 | int id; |
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308 | Node(int _id) { id = _id;} |
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309 | public: |
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310 | Node() {} |
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311 | Node (Invalid) { id = -1; } |
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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 | bool operator<(const Node node) const {return id < node.id;} |
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315 | }; |
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316 | |
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317 | |
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318 | |
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319 | class Edge { |
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320 | friend class UndirFullGraphBase; |
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321 | |
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322 | protected: |
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323 | int id; // _nodeNum * target + source; |
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324 | |
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325 | Edge(int _id) : id(_id) {} |
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326 | |
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327 | public: |
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328 | Edge() { } |
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329 | Edge (Invalid) { id = -1; } |
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330 | bool operator==(const Edge edge) const {return id == edge.id;} |
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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 | }; |
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334 | |
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335 | void first(Node& node) const { |
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336 | node.id = _nodeNum - 1; |
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337 | } |
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338 | |
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339 | static void next(Node& node) { |
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340 | --node.id; |
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341 | } |
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342 | |
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343 | void first(Edge& edge) const { |
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344 | edge.id = _edgeNum - 1; |
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345 | } |
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346 | |
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347 | static void next(Edge& edge) { |
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348 | --edge.id; |
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349 | } |
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350 | |
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351 | void firstOut(Edge& edge, const Node& node) const { |
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352 | int src = node.id; |
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353 | int trg = 0; |
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354 | edge.id = (trg < src ? src * (src - 1) / 2 + trg : -1); |
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355 | } |
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356 | |
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357 | /// \todo with specialized iterators we can make faster iterating |
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358 | void nextOut(Edge& edge) const { |
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359 | int src = source(edge).id; |
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360 | int trg = target(edge).id; |
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361 | ++trg; |
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362 | edge.id = (trg < src ? src * (src - 1) / 2 + trg : -1); |
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363 | } |
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364 | |
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365 | void firstIn(Edge& edge, const Node& node) const { |
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366 | int src = node.id + 1; |
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367 | int trg = node.id; |
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368 | edge.id = (src < _nodeNum ? src * (src - 1) / 2 + trg : -1); |
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369 | } |
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370 | |
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371 | void nextIn(Edge& edge) const { |
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372 | int src = source(edge).id; |
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373 | int trg = target(edge).id; |
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374 | ++src; |
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375 | edge.id = (src < _nodeNum ? src * (src - 1) / 2 + trg : -1); |
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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 | typedef StaticMappableUndirGraphExtender< |
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381 | IterableUndirGraphExtender< |
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382 | AlterableUndirGraphExtender< |
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383 | UndirGraphExtender<UndirFullGraphBase> > > > ExtendedUndirFullGraphBase; |
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384 | |
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385 | /// \ingroup graphs |
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386 | /// |
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387 | /// \brief An undirected full graph class. |
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388 | /// |
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389 | /// This is a simple and fast undirected full graph implementation. |
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390 | /// It is completely static, so you can neither add nor delete either |
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391 | /// edges or nodes. |
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392 | /// |
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393 | /// The main difference beetween the \e FullGraph and \e UndirFullGraph class |
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394 | /// is that this class conforms to the undirected graph concept and |
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395 | /// it does not contain the loop edges. |
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396 | /// |
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397 | /// \sa FullGraph |
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398 | /// |
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399 | /// \author Balazs Dezso |
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400 | class UndirFullGraph : public ExtendedUndirFullGraphBase { |
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401 | public: |
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402 | UndirFullGraph(int n) { construct(n); } |
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403 | }; |
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404 | |
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405 | |
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406 | class FullUndirBipartiteGraphBase { |
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407 | protected: |
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408 | |
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409 | int _upperNodeNum; |
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410 | int _lowerNodeNum; |
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411 | |
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412 | int _edgeNum; |
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413 | |
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414 | public: |
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415 | |
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416 | class NodeSetError : public LogicError { |
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417 | virtual const char* exceptionName() const { |
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418 | return "lemon::FullUndirBipartiteGraph::NodeSetError"; |
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419 | } |
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420 | }; |
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421 | |
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422 | class Node { |
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423 | friend class FullUndirBipartiteGraphBase; |
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424 | protected: |
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425 | int id; |
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426 | |
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427 | Node(int _id) : id(_id) {} |
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428 | public: |
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429 | Node() {} |
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430 | Node(Invalid) { id = -1; } |
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431 | bool operator==(const Node i) const {return id==i.id;} |
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432 | bool operator!=(const Node i) const {return id!=i.id;} |
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433 | bool operator<(const Node i) const {return id<i.id;} |
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434 | }; |
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435 | |
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436 | class Edge { |
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437 | friend class FullUndirBipartiteGraphBase; |
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438 | protected: |
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439 | int id; |
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440 | |
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441 | Edge(int _id) { id = _id;} |
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442 | public: |
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443 | Edge() {} |
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444 | Edge (Invalid) { id = -1; } |
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445 | bool operator==(const Edge i) const {return id==i.id;} |
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446 | bool operator!=(const Edge i) const {return id!=i.id;} |
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447 | bool operator<(const Edge i) const {return id<i.id;} |
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448 | }; |
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449 | |
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450 | void construct(int upperNodeNum, int lowerNodeNum) { |
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451 | _upperNodeNum = upperNodeNum; |
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452 | _lowerNodeNum = lowerNodeNum; |
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453 | _edgeNum = upperNodeNum * lowerNodeNum; |
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454 | } |
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455 | |
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456 | void firstUpper(Node& node) const { |
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457 | node.id = 2 * _upperNodeNum - 2; |
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458 | if (node.id < 0) node.id = -1; |
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459 | } |
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460 | void nextUpper(Node& node) const { |
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461 | node.id -= 2; |
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462 | if (node.id < 0) node.id = -1; |
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463 | } |
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464 | |
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465 | void firstLower(Node& node) const { |
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466 | node.id = 2 * _lowerNodeNum - 1; |
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467 | } |
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468 | void nextLower(Node& node) const { |
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469 | node.id -= 2; |
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470 | } |
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471 | |
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472 | void first(Node& node) const { |
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473 | if (_upperNodeNum > 0) { |
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474 | node.id = 2 * _upperNodeNum - 2; |
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475 | } else { |
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476 | node.id = 2 * _lowerNodeNum - 1; |
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477 | } |
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478 | } |
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479 | void next(Node& node) const { |
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480 | node.id -= 2; |
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481 | if (node.id == -2) { |
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482 | node.id = 2 * _lowerNodeNum - 1; |
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483 | } |
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484 | } |
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485 | |
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486 | void first(Edge& edge) const { |
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487 | edge.id = _edgeNum - 1; |
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488 | } |
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489 | void next(Edge& edge) const { |
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490 | --edge.id; |
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491 | } |
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492 | |
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493 | void firstDown(Edge& edge, const Node& node) const { |
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494 | LEMON_ASSERT((node.id & 1) == 0, NodeSetError()); |
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495 | edge.id = (node.id >> 1) * _lowerNodeNum; |
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496 | } |
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497 | void nextDown(Edge& edge) const { |
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498 | ++(edge.id); |
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499 | if (edge.id % _lowerNodeNum == 0) edge.id = -1; |
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500 | } |
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501 | |
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502 | void firstUp(Edge& edge, const Node& node) const { |
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503 | LEMON_ASSERT((node.id & 1) == 1, NodeSetError()); |
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504 | edge.id = (node.id >> 1); |
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505 | } |
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506 | void nextUp(Edge& edge) const { |
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507 | edge.id += _lowerNodeNum; |
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508 | if (edge.id >= _edgeNum) edge.id = -1; |
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509 | } |
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510 | |
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511 | static int id(const Node& node) { |
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512 | return node.id; |
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513 | } |
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514 | static Node nodeFromId(int id) { |
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515 | return Node(id); |
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516 | } |
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517 | int maxNodeId() const { |
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518 | return _upperNodeNum > _lowerNodeNum ? |
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519 | _upperNodeNum * 2 - 2 : _lowerNodeNum * 2 - 1; |
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520 | } |
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521 | |
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522 | static int id(const Edge& edge) { |
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523 | return edge.id; |
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524 | } |
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525 | static Edge edgeFromId(int id) { |
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526 | return Edge(id); |
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527 | } |
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528 | int maxEdgeId() const { |
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529 | return _edgeNum - 1; |
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530 | } |
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531 | |
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532 | static int upperId(const Node& node) { |
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533 | return node.id >> 1; |
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534 | } |
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535 | static Node fromUpperId(int id, Node) { |
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536 | return Node(id << 1); |
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537 | } |
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538 | int maxUpperId() const { |
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539 | return _upperNodeNum; |
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540 | } |
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541 | |
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542 | static int lowerId(const Node& node) { |
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543 | return node.id >> 1; |
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544 | } |
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545 | static Node fromLowerId(int id) { |
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546 | return Node((id << 1) + 1); |
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547 | } |
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548 | int maxLowerId() const { |
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549 | return _lowerNodeNum; |
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550 | } |
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551 | |
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552 | Node upperNode(const Edge& edge) const { |
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553 | return Node((edge.id / _lowerNodeNum) << 1); |
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554 | } |
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555 | Node lowerNode(const Edge& edge) const { |
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556 | return Node(((edge.id % _lowerNodeNum) << 1) + 1); |
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557 | } |
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558 | |
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559 | static bool upper(const Node& node) { |
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560 | return (node.id & 1) == 0; |
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561 | } |
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562 | |
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563 | static bool lower(const Node& node) { |
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564 | return (node.id & 1) == 1; |
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565 | } |
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566 | |
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567 | static Node upperNode(int index) { |
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568 | return Node(index << 1); |
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569 | } |
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570 | |
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571 | static Node lowerNode(int index) { |
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572 | return Node((index << 1) + 1); |
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573 | } |
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574 | |
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575 | }; |
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576 | |
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577 | |
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578 | typedef StaticMappableUndirBipartiteGraphExtender< |
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579 | IterableUndirBipartiteGraphExtender< |
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580 | AlterableUndirBipartiteGraphExtender< |
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581 | UndirBipartiteGraphExtender < |
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582 | FullUndirBipartiteGraphBase> > > > |
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583 | ExtendedFullUndirBipartiteGraphBase; |
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584 | |
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585 | |
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586 | class FullUndirBipartiteGraph : |
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587 | public ExtendedFullUndirBipartiteGraphBase { |
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588 | public: |
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589 | typedef ExtendedFullUndirBipartiteGraphBase Parent; |
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590 | FullUndirBipartiteGraph(int upperNodeNum, int lowerNodeNum) { |
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591 | Parent::construct(upperNodeNum, lowerNodeNum); |
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592 | } |
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593 | }; |
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594 | |
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595 | } //namespace lemon |
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596 | |
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597 | |
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598 | #endif //LEMON_FULL_GRAPH_H |
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