1 | /* -*- C++ -*- |
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2 | * |
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3 | * This file is a part of LEMON, a generic C++ optimization library |
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4 | * |
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5 | * Copyright (C) 2003-2006 |
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6 | * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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7 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
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8 | * |
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9 | * Permission to use, modify and distribute this software is granted |
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10 | * provided that this copyright notice appears in all copies. For |
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11 | * precise terms see the accompanying LICENSE file. |
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12 | * |
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13 | * This software is provided "AS IS" with no warranty of any kind, |
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14 | * express or implied, and with no claim as to its suitability for any |
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15 | * purpose. |
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16 | * |
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17 | */ |
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18 | |
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19 | #ifndef LEMON_SMART_GRAPH_H |
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20 | #define LEMON_SMART_GRAPH_H |
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21 | |
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22 | ///\ingroup graphs |
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23 | ///\file |
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24 | ///\brief SmartGraph and SmartUGraph classes. |
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25 | |
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26 | #include <vector> |
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27 | |
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28 | #include <lemon/bits/invalid.h> |
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29 | |
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30 | #include <lemon/bits/base_extender.h> |
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31 | #include <lemon/bits/graph_extender.h> |
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32 | |
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33 | #include <lemon/bits/utility.h> |
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34 | #include <lemon/error.h> |
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35 | |
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36 | #include <lemon/bits/graph_extender.h> |
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37 | |
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38 | namespace lemon { |
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39 | |
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40 | class SmartGraph; |
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41 | ///Base of SmartGraph |
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42 | |
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43 | ///Base of SmartGraph |
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44 | /// |
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45 | class SmartGraphBase { |
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46 | |
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47 | friend class SmatGraph; |
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48 | |
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49 | protected: |
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50 | struct NodeT |
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51 | { |
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52 | int first_in,first_out; |
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53 | NodeT() : first_in(-1), first_out(-1) {} |
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54 | }; |
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55 | struct EdgeT |
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56 | { |
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57 | int target, source, next_in, next_out; |
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58 | //FIXME: is this necessary? |
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59 | EdgeT() : next_in(-1), next_out(-1) {} |
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60 | }; |
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61 | |
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62 | std::vector<NodeT> nodes; |
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63 | |
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64 | std::vector<EdgeT> edges; |
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65 | |
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66 | |
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67 | public: |
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68 | |
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69 | typedef SmartGraphBase Graph; |
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70 | |
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71 | class Node; |
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72 | class Edge; |
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73 | |
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74 | |
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75 | public: |
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76 | |
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77 | SmartGraphBase() : nodes(), edges() { } |
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78 | SmartGraphBase(const SmartGraphBase &_g) |
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79 | : nodes(_g.nodes), edges(_g.edges) { } |
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80 | |
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81 | typedef True NodeNumTag; |
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82 | typedef True EdgeNumTag; |
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83 | |
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84 | ///Number of nodes. |
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85 | int nodeNum() const { return nodes.size(); } |
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86 | ///Number of edges. |
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87 | int edgeNum() const { return edges.size(); } |
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88 | |
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89 | /// Maximum node ID. |
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90 | |
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91 | /// Maximum node ID. |
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92 | ///\sa id(Node) |
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93 | int maxNodeId() const { return nodes.size()-1; } |
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94 | /// Maximum edge ID. |
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95 | |
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96 | /// Maximum edge ID. |
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97 | ///\sa id(Edge) |
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98 | int maxEdgeId() const { return edges.size()-1; } |
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99 | |
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100 | Node addNode() { |
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101 | Node n; n.n=nodes.size(); |
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102 | nodes.push_back(NodeT()); //FIXME: Hmmm... |
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103 | return n; |
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104 | } |
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105 | |
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106 | Edge addEdge(Node u, Node v) { |
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107 | Edge e; e.n=edges.size(); edges.push_back(EdgeT()); //FIXME: Hmmm... |
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108 | edges[e.n].source=u.n; edges[e.n].target=v.n; |
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109 | edges[e.n].next_out=nodes[u.n].first_out; |
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110 | edges[e.n].next_in=nodes[v.n].first_in; |
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111 | nodes[u.n].first_out=nodes[v.n].first_in=e.n; |
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112 | |
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113 | return e; |
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114 | } |
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115 | |
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116 | |
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117 | Node source(Edge e) const { return edges[e.n].source; } |
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118 | Node target(Edge e) const { return edges[e.n].target; } |
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119 | |
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120 | /// Node ID. |
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121 | |
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122 | /// The ID of a valid Node is a nonnegative integer not greater than |
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123 | /// \ref maxNodeId(). The range of the ID's is not surely continuous |
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124 | /// and the greatest node ID can be actually less then \ref maxNodeId(). |
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125 | /// |
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126 | /// The ID of the \ref INVALID node is -1. |
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127 | ///\return The ID of the node \c v. |
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128 | static int id(Node v) { return v.n; } |
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129 | /// Edge ID. |
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130 | |
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131 | /// The ID of a valid Edge is a nonnegative integer not greater than |
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132 | /// \ref maxEdgeId(). The range of the ID's is not surely continuous |
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133 | /// and the greatest edge ID can be actually less then \ref maxEdgeId(). |
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134 | /// |
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135 | /// The ID of the \ref INVALID edge is -1. |
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136 | ///\return The ID of the edge \c e. |
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137 | static int id(Edge e) { return e.n; } |
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138 | |
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139 | /// \brief Returns the node from its \c id. |
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140 | /// |
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141 | /// Returns the node from its \c id. If there is not node |
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142 | /// with the given id the effect of the function is undefinied. |
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143 | static Node nodeFromId(int id) { return Node(id);} |
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144 | |
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145 | /// \brief Returns the edge from its \c id. |
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146 | /// |
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147 | /// Returns the edge from its \c id. If there is not edge |
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148 | /// with the given id the effect of the function is undefinied. |
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149 | static Edge edgeFromId(int id) { return Edge(id);} |
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150 | |
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151 | class Node { |
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152 | friend class SmartGraphBase; |
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153 | friend class SmartGraph; |
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154 | |
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155 | protected: |
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156 | int n; |
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157 | Node(int nn) {n=nn;} |
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158 | public: |
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159 | Node() {} |
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160 | Node (Invalid) { n=-1; } |
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161 | bool operator==(const Node i) const {return n==i.n;} |
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162 | bool operator!=(const Node i) const {return n!=i.n;} |
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163 | bool operator<(const Node i) const {return n<i.n;} |
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164 | }; |
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165 | |
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166 | |
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167 | class Edge { |
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168 | friend class SmartGraphBase; |
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169 | friend class SmartGraph; |
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170 | |
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171 | protected: |
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172 | int n; |
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173 | Edge(int nn) {n=nn;} |
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174 | public: |
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175 | Edge() { } |
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176 | Edge (Invalid) { n=-1; } |
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177 | bool operator==(const Edge i) const {return n==i.n;} |
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178 | bool operator!=(const Edge i) const {return n!=i.n;} |
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179 | bool operator<(const Edge i) const {return n<i.n;} |
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180 | }; |
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181 | |
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182 | void first(Node& node) const { |
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183 | node.n = nodes.size() - 1; |
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184 | } |
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185 | |
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186 | static void next(Node& node) { |
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187 | --node.n; |
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188 | } |
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189 | |
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190 | void first(Edge& edge) const { |
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191 | edge.n = edges.size() - 1; |
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192 | } |
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193 | |
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194 | static void next(Edge& edge) { |
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195 | --edge.n; |
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196 | } |
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197 | |
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198 | void firstOut(Edge& edge, const Node& node) const { |
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199 | edge.n = nodes[node.n].first_out; |
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200 | } |
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201 | |
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202 | void nextOut(Edge& edge) const { |
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203 | edge.n = edges[edge.n].next_out; |
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204 | } |
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205 | |
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206 | void firstIn(Edge& edge, const Node& node) const { |
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207 | edge.n = nodes[node.n].first_in; |
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208 | } |
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209 | |
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210 | void nextIn(Edge& edge) const { |
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211 | edge.n = edges[edge.n].next_in; |
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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 | typedef GraphExtender<SmartGraphBase> ExtendedSmartGraphBase; |
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217 | |
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218 | /// \ingroup graphs |
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219 | |
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220 | ///A smart graph class. |
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221 | |
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222 | ///This is a simple and fast graph implementation. |
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223 | ///It is also quite memory efficient, but at the price |
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224 | ///that <b> it does support only limited (only stack-like) |
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225 | ///node and edge deletions</b>. |
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226 | ///It conforms to |
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227 | ///the \ref concept::Graph "Graph concept". |
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228 | ///\sa concept::Graph. |
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229 | /// |
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230 | ///\author Alpar Juttner |
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231 | class SmartGraph : public ExtendedSmartGraphBase { |
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232 | public: |
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233 | |
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234 | typedef ExtendedSmartGraphBase Parent; |
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235 | |
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236 | class Snapshot; |
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237 | friend class Snapshot; |
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238 | |
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239 | private: |
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240 | ///SmartGraph is \e not copy constructible. Use GraphCopy() instead. |
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241 | |
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242 | ///SmartGraph is \e not copy constructible. Use GraphCopy() instead. |
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243 | /// |
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244 | SmartGraph(const SmartGraph &) :ExtendedSmartGraphBase() {}; |
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245 | ///\brief Assignment of SmartGraph to another is \e not allowed. |
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246 | ///Use GraphCopy() instead. |
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247 | |
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248 | ///Assignment of SmartGraph to another is \e not allowed. |
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249 | ///Use GraphCopy() instead. |
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250 | void operator=(const SmartGraph &) {} |
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251 | protected: |
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252 | void restoreSnapshot(const Snapshot &s) |
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253 | { |
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254 | while(s.edge_num<edges.size()) { |
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255 | Parent::getNotifier(Edge()).erase(Edge(edges.size()-1)); |
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256 | nodes[edges.back().target].first_in=edges.back().next_in; |
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257 | nodes[edges.back().source].first_out=edges.back().next_out; |
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258 | edges.pop_back(); |
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259 | } |
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260 | //nodes.resize(s.nodes_num); |
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261 | while(s.node_num<nodes.size()) { |
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262 | Parent::getNotifier(Node()).erase(Node(nodes.size()-1)); |
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263 | nodes.pop_back(); |
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264 | } |
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265 | } |
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266 | |
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267 | public: |
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268 | |
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269 | /// Constructor |
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270 | |
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271 | /// Constructor. |
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272 | /// |
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273 | SmartGraph() {}; |
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274 | |
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275 | ///Add a new node to the graph. |
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276 | |
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277 | /// \return the new node. |
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278 | /// |
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279 | Node addNode() { return Parent::addNode(); } |
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280 | |
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281 | ///Add a new edge to the graph. |
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282 | |
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283 | ///Add a new edge to the graph with source node \c s |
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284 | ///and target node \c t. |
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285 | ///\return the new edge. |
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286 | Edge addEdge(const Node& s, const Node& t) { |
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287 | return Parent::addEdge(s, t); |
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288 | } |
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289 | |
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290 | ///\e |
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291 | |
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292 | ///\bug Undocumented |
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293 | ///\bug Doesn't destruct the maps. |
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294 | void clear() { |
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295 | edges.clear(); |
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296 | nodes.clear(); |
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297 | } |
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298 | |
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299 | ///Split a node. |
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300 | |
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301 | ///This function splits a node. First a new node is added to the graph, |
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302 | ///then the source of each outgoing edge of \c n is moved to this new node. |
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303 | ///If \c connect is \c true (this is the default value), then a new edge |
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304 | ///from \c n to the newly created node is also added. |
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305 | ///\return The newly created node. |
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306 | /// |
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307 | ///\note The <tt>Edge</tt>s |
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308 | ///referencing a moved edge remain |
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309 | ///valid. However <tt>InEdge</tt>'s and <tt>OutEdge</tt>'s |
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310 | ///may be invalidated. |
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311 | ///\warning This functionality cannot be used together with the Snapshot |
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312 | ///feature. |
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313 | ///\todo It could be implemented in a bit faster way. |
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314 | Node split(Node n, bool connect = true) |
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315 | { |
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316 | Node b = addNode(); |
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317 | nodes[b.n].first_out=nodes[n.n].first_out; |
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318 | nodes[n.n].first_out=-1; |
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319 | for(int i=nodes[b.n].first_out;i!=-1;i++) edges[i].source=b.n; |
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320 | if(connect) addEdge(n,b); |
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321 | return b; |
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322 | } |
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323 | |
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324 | ///Class to make a snapshot of the graph and to restrore to it later. |
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325 | |
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326 | ///Class to make a snapshot of the graph and to restrore to it later. |
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327 | /// |
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328 | ///The newly added nodes and edges can be removed using the |
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329 | ///restore() function. |
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330 | ///\note After you restore a state, you cannot restore |
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331 | ///a later state, in other word you cannot add again the edges deleted |
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332 | ///by restore() using another Snapshot instance. |
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333 | /// |
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334 | class Snapshot |
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335 | { |
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336 | SmartGraph *g; |
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337 | protected: |
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338 | friend class SmartGraph; |
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339 | unsigned int node_num; |
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340 | unsigned int edge_num; |
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341 | public: |
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342 | ///Default constructor. |
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343 | |
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344 | ///Default constructor. |
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345 | ///To actually make a snapshot you must call save(). |
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346 | /// |
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347 | Snapshot() : g(0) {} |
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348 | ///Constructor that immediately makes a snapshot |
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349 | |
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350 | ///This constructor immediately makes a snapshot of the graph. |
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351 | ///\param _g The graph we make a snapshot of. |
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352 | Snapshot(SmartGraph &_g) :g(&_g) { |
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353 | node_num=g->nodes.size(); |
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354 | edge_num=g->edges.size(); |
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355 | } |
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356 | |
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357 | ///Make a snapshot. |
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358 | |
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359 | ///Make a snapshot of the graph. |
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360 | /// |
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361 | ///This function can be called more than once. In case of a repeated |
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362 | ///call, the previous snapshot gets lost. |
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363 | ///\param _g The graph we make the snapshot of. |
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364 | void save(SmartGraph &_g) |
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365 | { |
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366 | g=&_g; |
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367 | node_num=g->nodes.size(); |
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368 | edge_num=g->edges.size(); |
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369 | } |
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370 | |
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371 | ///Undo the changes until a snapshot. |
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372 | |
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373 | ///Undo the changes until a snapshot created by save(). |
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374 | /// |
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375 | ///\note After you restored a state, you cannot restore |
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376 | ///a later state, in other word you cannot add again the edges deleted |
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377 | ///by restore(). |
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378 | /// |
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379 | ///\todo This function might be called undo(). |
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380 | |
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381 | void restore() |
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382 | { |
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383 | g->restoreSnapshot(*this); |
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384 | } |
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385 | }; |
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386 | }; |
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387 | |
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388 | |
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389 | /**************** Undirected List Graph ****************/ |
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390 | |
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391 | typedef UGraphExtender<UndirGraphExtender<SmartGraphBase> > |
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392 | ExtendedSmartUGraphBase; |
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393 | |
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394 | /// \ingroup graphs |
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395 | /// |
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396 | /// \brief A smart undirected graph class. |
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397 | /// |
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398 | /// This is a simple and fast undirected graph implementation. |
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399 | /// It is also quite memory efficient, but at the price |
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400 | /// that <b> it does support only limited (only stack-like) |
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401 | /// node and edge deletions</b>. |
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402 | /// Except from this it conforms to |
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403 | /// the \ref concept::UGraph "UGraph concept". |
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404 | /// \sa concept::UGraph. |
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405 | /// |
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406 | /// \todo Snapshot hasn't been implemented yet. |
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407 | /// |
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408 | class SmartUGraph : public ExtendedSmartUGraphBase { |
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409 | private: |
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410 | ///SmartUGraph is \e not copy constructible. Use UGraphCopy() instead. |
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411 | |
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412 | ///SmartUGraph is \e not copy constructible. Use UGraphCopy() instead. |
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413 | /// |
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414 | SmartUGraph(const SmartUGraph &) : ExtendedSmartUGraphBase() {}; |
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415 | ///\brief Assignment of SmartUGraph to another is \e not allowed. |
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416 | ///Use UGraphCopy() instead. |
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417 | |
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418 | ///Assignment of SmartUGraph to another is \e not allowed. |
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419 | ///Use UGraphCopy() instead. |
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420 | void operator=(const SmartUGraph &) {} |
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421 | public: |
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422 | /// Constructor |
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423 | |
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424 | /// Constructor. |
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425 | /// |
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426 | SmartUGraph() {} |
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427 | }; |
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428 | |
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429 | |
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430 | class SmartBpUGraphBase { |
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431 | public: |
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432 | |
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433 | class NodeSetError : public LogicError { |
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434 | virtual const char* exceptionName() const { |
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435 | return "lemon::SmartBpUGraph::NodeSetError"; |
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436 | } |
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437 | }; |
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438 | |
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439 | protected: |
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440 | |
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441 | struct NodeT { |
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442 | int first; |
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443 | NodeT() {} |
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444 | NodeT(int _first) : first(_first) {} |
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445 | }; |
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446 | |
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447 | struct UEdgeT { |
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448 | int aNode, next_out; |
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449 | int bNode, next_in; |
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450 | }; |
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451 | |
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452 | std::vector<NodeT> aNodes; |
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453 | std::vector<NodeT> bNodes; |
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454 | |
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455 | std::vector<UEdgeT> edges; |
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456 | |
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457 | public: |
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458 | |
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459 | class Node { |
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460 | friend class SmartBpUGraphBase; |
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461 | protected: |
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462 | int id; |
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463 | |
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464 | Node(int _id) : id(_id) {} |
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465 | public: |
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466 | Node() {} |
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467 | Node(Invalid) { id = -1; } |
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468 | bool operator==(const Node i) const {return id==i.id;} |
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469 | bool operator!=(const Node i) const {return id!=i.id;} |
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470 | bool operator<(const Node i) const {return id<i.id;} |
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471 | }; |
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472 | |
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473 | class UEdge { |
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474 | friend class SmartBpUGraphBase; |
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475 | protected: |
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476 | int id; |
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477 | |
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478 | UEdge(int _id) { id = _id;} |
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479 | public: |
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480 | UEdge() {} |
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481 | UEdge (Invalid) { id = -1; } |
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482 | bool operator==(const UEdge i) const {return id==i.id;} |
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483 | bool operator!=(const UEdge i) const {return id!=i.id;} |
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484 | bool operator<(const UEdge i) const {return id<i.id;} |
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485 | }; |
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486 | |
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487 | void firstANode(Node& node) const { |
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488 | node.id = 2 * aNodes.size() - 2; |
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489 | if (node.id < 0) node.id = -1; |
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490 | } |
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491 | void nextANode(Node& node) const { |
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492 | node.id -= 2; |
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493 | if (node.id < 0) node.id = -1; |
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494 | } |
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495 | |
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496 | void firstBNode(Node& node) const { |
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497 | node.id = 2 * bNodes.size() - 1; |
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498 | } |
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499 | void nextBNode(Node& node) const { |
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500 | node.id -= 2; |
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501 | } |
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502 | |
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503 | void first(Node& node) const { |
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504 | if (aNodes.size() > 0) { |
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505 | node.id = 2 * aNodes.size() - 2; |
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506 | } else { |
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507 | node.id = 2 * bNodes.size() - 1; |
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508 | } |
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509 | } |
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510 | void next(Node& node) const { |
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511 | node.id -= 2; |
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512 | if (node.id == -2) { |
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513 | node.id = 2 * bNodes.size() - 1; |
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514 | } |
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515 | } |
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516 | |
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517 | void first(UEdge& edge) const { |
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518 | edge.id = edges.size() - 1; |
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519 | } |
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520 | void next(UEdge& edge) const { |
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521 | --edge.id; |
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522 | } |
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523 | |
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524 | void firstFromANode(UEdge& edge, const Node& node) const { |
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525 | LEMON_ASSERT((node.id & 1) == 0, NodeSetError()); |
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526 | edge.id = aNodes[node.id >> 1].first; |
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527 | } |
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528 | void nextFromANode(UEdge& edge) const { |
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529 | edge.id = edges[edge.id].next_out; |
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530 | } |
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531 | |
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532 | void firstFromBNode(UEdge& edge, const Node& node) const { |
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533 | LEMON_ASSERT((node.id & 1) == 1, NodeSetError()); |
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534 | edge.id = bNodes[node.id >> 1].first; |
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535 | } |
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536 | void nextFromBNode(UEdge& edge) const { |
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537 | edge.id = edges[edge.id].next_in; |
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538 | } |
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539 | |
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540 | static int id(const Node& node) { |
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541 | return node.id; |
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542 | } |
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543 | static Node nodeFromId(int id) { |
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544 | return Node(id); |
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545 | } |
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546 | int maxNodeId() const { |
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547 | return aNodes.size() > bNodes.size() ? |
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548 | aNodes.size() * 2 - 2 : bNodes.size() * 2 - 1; |
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549 | } |
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550 | |
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551 | static int id(const UEdge& edge) { |
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552 | return edge.id; |
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553 | } |
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554 | static UEdge uEdgeFromId(int id) { |
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555 | return UEdge(id); |
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556 | } |
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557 | int maxUEdgeId() const { |
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558 | return edges.size(); |
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559 | } |
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560 | |
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561 | static int aNodeId(const Node& node) { |
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562 | return node.id >> 1; |
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563 | } |
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564 | static Node fromANodeId(int id) { |
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565 | return Node(id << 1); |
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566 | } |
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567 | int maxANodeId() const { |
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568 | return aNodes.size(); |
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569 | } |
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570 | |
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571 | static int bNodeId(const Node& node) { |
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572 | return node.id >> 1; |
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573 | } |
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574 | static Node fromBNodeId(int id) { |
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575 | return Node((id << 1) + 1); |
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576 | } |
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577 | int maxBNodeId() const { |
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578 | return bNodes.size(); |
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579 | } |
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580 | |
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581 | Node aNode(const UEdge& edge) const { |
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582 | return Node(edges[edge.id].aNode); |
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583 | } |
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584 | Node bNode(const UEdge& edge) const { |
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585 | return Node(edges[edge.id].bNode); |
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586 | } |
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587 | |
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588 | static bool aNode(const Node& node) { |
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589 | return (node.id & 1) == 0; |
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590 | } |
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591 | |
---|
592 | static bool bNode(const Node& node) { |
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593 | return (node.id & 1) == 1; |
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594 | } |
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595 | |
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596 | Node addANode() { |
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597 | NodeT nodeT; |
---|
598 | nodeT.first = -1; |
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599 | aNodes.push_back(nodeT); |
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600 | return Node(aNodes.size() * 2 - 2); |
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601 | } |
---|
602 | |
---|
603 | Node addBNode() { |
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604 | NodeT nodeT; |
---|
605 | nodeT.first = -1; |
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606 | bNodes.push_back(nodeT); |
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607 | return Node(bNodes.size() * 2 - 1); |
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608 | } |
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609 | |
---|
610 | UEdge addEdge(const Node& source, const Node& target) { |
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611 | LEMON_ASSERT(((source.id ^ target.id) & 1) == 1, NodeSetError()); |
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612 | UEdgeT edgeT; |
---|
613 | if ((source.id & 1) == 0) { |
---|
614 | edgeT.aNode = source.id; |
---|
615 | edgeT.bNode = target.id; |
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616 | } else { |
---|
617 | edgeT.aNode = target.id; |
---|
618 | edgeT.bNode = source.id; |
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619 | } |
---|
620 | edgeT.next_out = aNodes[edgeT.aNode >> 1].first; |
---|
621 | aNodes[edgeT.aNode >> 1].first = edges.size(); |
---|
622 | edgeT.next_in = bNodes[edgeT.bNode >> 1].first; |
---|
623 | bNodes[edgeT.bNode >> 1].first = edges.size(); |
---|
624 | edges.push_back(edgeT); |
---|
625 | return UEdge(edges.size() - 1); |
---|
626 | } |
---|
627 | |
---|
628 | void clear() { |
---|
629 | aNodes.clear(); |
---|
630 | bNodes.clear(); |
---|
631 | edges.clear(); |
---|
632 | } |
---|
633 | |
---|
634 | typedef True NodeNumTag; |
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635 | int nodeNum() const { return aNodes.size() + bNodes.size(); } |
---|
636 | int aNodeNum() const { return aNodes.size(); } |
---|
637 | int bNodeNum() const { return bNodes.size(); } |
---|
638 | |
---|
639 | typedef True EdgeNumTag; |
---|
640 | int uEdgeNum() const { return edges.size(); } |
---|
641 | |
---|
642 | }; |
---|
643 | |
---|
644 | |
---|
645 | typedef BpUGraphExtender<SmartBpUGraphBase> ExtendedSmartBpUGraphBase; |
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646 | |
---|
647 | /// \ingroup graphs |
---|
648 | /// |
---|
649 | /// \brief A smart bipartite undirected graph class. |
---|
650 | /// |
---|
651 | /// This is a simple and fast bipartite undirected graph implementation. |
---|
652 | /// It is also quite memory efficient, but at the price |
---|
653 | /// that <b> it does not support node and edge deletions</b>. |
---|
654 | /// Except from this it conforms to |
---|
655 | /// the \ref concept::BpUGraph "BpUGraph concept". |
---|
656 | /// \sa concept::BpUGraph. |
---|
657 | /// |
---|
658 | class SmartBpUGraph : public ExtendedSmartBpUGraphBase {}; |
---|
659 | |
---|
660 | |
---|
661 | /// @} |
---|
662 | } //namespace lemon |
---|
663 | |
---|
664 | |
---|
665 | #endif //LEMON_SMART_GRAPH_H |
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