1 | /* -*- C++ -*- |
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2 | * lemon/graph_utils.h - Part of LEMON, a generic C++ optimization library |
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3 | * |
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4 | * Copyright (C) 2005 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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5 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
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6 | * |
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7 | * Permission to use, modify and distribute this software is granted |
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8 | * provided that this copyright notice appears in all copies. For |
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9 | * precise terms see the accompanying LICENSE file. |
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10 | * |
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11 | * This software is provided "AS IS" with no warranty of any kind, |
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12 | * express or implied, and with no claim as to its suitability for any |
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13 | * purpose. |
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14 | * |
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15 | */ |
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16 | |
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17 | #ifndef LEMON_GRAPH_UTILS_H |
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18 | #define LEMON_GRAPH_UTILS_H |
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19 | |
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20 | #include <iterator> |
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21 | #include <vector> |
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22 | #include <map> |
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23 | |
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24 | #include <lemon/invalid.h> |
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25 | #include <lemon/utility.h> |
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26 | #include <lemon/maps.h> |
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27 | #include <lemon/bits/alteration_notifier.h> |
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28 | |
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29 | ///\ingroup gutils |
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30 | ///\file |
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31 | ///\brief Graph utilities. |
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32 | /// |
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33 | /// |
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34 | |
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35 | |
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36 | namespace lemon { |
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37 | |
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38 | /// \addtogroup gutils |
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39 | /// @{ |
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40 | |
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41 | /// \brief Function to count the items in the graph. |
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42 | /// |
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43 | /// This function counts the items (nodes, edges etc) in the graph. |
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44 | /// The complexity of the function is O(n) because |
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45 | /// it iterates on all of the items. |
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46 | |
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47 | template <typename Graph, typename ItemIt> |
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48 | inline int countItems(const Graph& g) { |
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49 | int num = 0; |
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50 | for (ItemIt it(g); it != INVALID; ++it) { |
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51 | ++num; |
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52 | } |
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53 | return num; |
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54 | } |
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55 | |
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56 | // Node counting: |
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57 | |
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58 | template <typename Graph> |
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59 | inline |
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60 | typename enable_if<typename Graph::NodeNumTag, int>::type |
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61 | _countNodes(const Graph &g) { |
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62 | return g.nodeNum(); |
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63 | } |
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64 | |
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65 | template <typename Graph> |
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66 | inline int _countNodes(Wrap<Graph> w) { |
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67 | return countItems<Graph, typename Graph::NodeIt>(w.value); |
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68 | } |
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69 | |
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70 | /// \brief Function to count the nodes in the graph. |
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71 | /// |
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72 | /// This function counts the nodes in the graph. |
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73 | /// The complexity of the function is O(n) but for some |
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74 | /// graph structures it is specialized to run in O(1). |
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75 | /// |
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76 | /// \todo refer how to specialize it |
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77 | |
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78 | template <typename Graph> |
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79 | inline int countNodes(const Graph& g) { |
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80 | return _countNodes<Graph>(g); |
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81 | } |
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82 | |
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83 | // Edge counting: |
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84 | |
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85 | template <typename Graph> |
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86 | inline |
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87 | typename enable_if<typename Graph::EdgeNumTag, int>::type |
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88 | _countEdges(const Graph &g) { |
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89 | return g.edgeNum(); |
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90 | } |
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91 | |
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92 | template <typename Graph> |
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93 | inline int _countEdges(Wrap<Graph> w) { |
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94 | return countItems<Graph, typename Graph::EdgeIt>(w.value); |
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95 | } |
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96 | |
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97 | /// \brief Function to count the edges in the graph. |
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98 | /// |
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99 | /// This function counts the edges in the graph. |
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100 | /// The complexity of the function is O(e) but for some |
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101 | /// graph structures it is specialized to run in O(1). |
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102 | |
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103 | template <typename Graph> |
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104 | inline int countEdges(const Graph& g) { |
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105 | return _countEdges<Graph>(g); |
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106 | } |
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107 | |
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108 | // Undirected edge counting: |
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109 | |
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110 | template <typename Graph> |
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111 | inline |
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112 | typename enable_if<typename Graph::EdgeNumTag, int>::type |
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113 | _countUndirEdges(const Graph &g) { |
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114 | return g.undirEdgeNum(); |
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115 | } |
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116 | |
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117 | template <typename Graph> |
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118 | inline int _countUndirEdges(Wrap<Graph> w) { |
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119 | return countItems<Graph, typename Graph::UndirEdgeIt>(w.value); |
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120 | } |
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121 | |
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122 | /// \brief Function to count the undirected edges in the graph. |
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123 | /// |
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124 | /// This function counts the undirected edges in the graph. |
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125 | /// The complexity of the function is O(e) but for some |
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126 | /// graph structures it is specialized to run in O(1). |
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127 | |
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128 | template <typename Graph> |
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129 | inline int countUndirEdges(const Graph& g) { |
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130 | return _countUndirEdges<Graph>(g); |
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131 | } |
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132 | |
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133 | |
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134 | |
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135 | template <typename Graph, typename DegIt> |
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136 | inline int countNodeDegree(const Graph& _g, const typename Graph::Node& _n) { |
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137 | int num = 0; |
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138 | for (DegIt it(_g, _n); it != INVALID; ++it) { |
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139 | ++num; |
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140 | } |
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141 | return num; |
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142 | } |
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143 | |
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144 | /// \brief Function to count the number of the out-edges from node \c n. |
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145 | /// |
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146 | /// This function counts the number of the out-edges from node \c n |
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147 | /// in the graph. |
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148 | template <typename Graph> |
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149 | inline int countOutEdges(const Graph& _g, const typename Graph::Node& _n) { |
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150 | return countNodeDegree<Graph, typename Graph::OutEdgeIt>(_g, _n); |
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151 | } |
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152 | |
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153 | /// \brief Function to count the number of the in-edges to node \c n. |
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154 | /// |
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155 | /// This function counts the number of the in-edges to node \c n |
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156 | /// in the graph. |
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157 | template <typename Graph> |
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158 | inline int countInEdges(const Graph& _g, const typename Graph::Node& _n) { |
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159 | return countNodeDegree<Graph, typename Graph::InEdgeIt>(_g, _n); |
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160 | } |
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161 | |
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162 | |
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163 | /// Finds an edge between two nodes of a graph. |
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164 | |
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165 | /// Finds an edge from node \c u to node \c v in graph \c g. |
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166 | /// |
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167 | /// If \c prev is \ref INVALID (this is the default value), then |
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168 | /// it finds the first edge from \c u to \c v. Otherwise it looks for |
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169 | /// the next edge from \c u to \c v after \c prev. |
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170 | /// \return The found edge or \ref INVALID if there is no such an edge. |
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171 | /// |
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172 | /// Thus you can iterate through each edge from \c u to \c v as it follows. |
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173 | /// \code |
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174 | /// for(Edge e=findEdge(g,u,v);e!=INVALID;e=findEdge(g,u,v,e)) { |
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175 | /// ... |
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176 | /// } |
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177 | /// \endcode |
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178 | /// \todo We may want to use the "GraphBase" |
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179 | /// interface here... |
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180 | /// \bug Untested ... |
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181 | template <typename Graph> |
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182 | typename Graph::Edge findEdge(const Graph &g, |
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183 | typename Graph::Node u, typename Graph::Node v, |
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184 | typename Graph::Edge prev = INVALID) |
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185 | { |
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186 | typename Graph::OutEdgeIt e(g,prev); |
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187 | // if(prev==INVALID) g.first(e,u); |
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188 | if(prev==INVALID) e=typename Graph::OutEdgeIt(g,u); |
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189 | else ++e; |
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190 | while(e!=INVALID && g.target(e)!=v) ++e; |
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191 | return e; |
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192 | } |
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193 | |
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194 | /// \brief Copy a map. |
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195 | /// |
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196 | /// This function copies the \c source map to the \c target map. It uses the |
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197 | /// given iterator to iterate on the data structure and it uses the \c ref |
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198 | /// mapping to convert the source's keys to the target's keys. |
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199 | template <typename Target, typename Source, |
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200 | typename ItemIt, typename Ref> |
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201 | void copyMap(Target& target, const Source& source, |
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202 | ItemIt it, const Ref& ref) { |
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203 | for (; it != INVALID; ++it) { |
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204 | target[ref[it]] = source[it]; |
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205 | } |
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206 | } |
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207 | |
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208 | /// \brief Copy the source map to the target map. |
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209 | /// |
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210 | /// Copy the \c source map to the \c target map. It uses the given iterator |
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211 | /// to iterate on the data structure. |
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212 | template <typename Target, typename Source, |
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213 | typename ItemIt> |
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214 | void copyMap(Target& target, const Source& source, ItemIt it) { |
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215 | for (; it != INVALID; ++it) { |
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216 | target[it] = source[it]; |
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217 | } |
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218 | } |
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219 | |
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220 | |
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221 | /// \brief Class to copy a graph. |
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222 | /// |
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223 | /// Class to copy a graph to an other graph (duplicate a graph). The |
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224 | /// simplest way of using it is through the \c copyGraph() function. |
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225 | template <typename Target, typename Source> |
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226 | class GraphCopy { |
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227 | public: |
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228 | typedef typename Source::Node Node; |
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229 | typedef typename Source::NodeIt NodeIt; |
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230 | typedef typename Source::Edge Edge; |
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231 | typedef typename Source::EdgeIt EdgeIt; |
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232 | |
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233 | typedef typename Source::template NodeMap<typename Target::Node>NodeRefMap; |
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234 | typedef typename Source::template EdgeMap<typename Target::Edge>EdgeRefMap; |
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235 | |
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236 | /// \brief Constructor for the GraphCopy. |
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237 | /// |
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238 | /// It copies the content of the \c _source graph into the |
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239 | /// \c _target graph. It creates also two references, one beetween |
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240 | /// the two nodeset and one beetween the two edgesets. |
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241 | GraphCopy(Target& _target, const Source& _source) |
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242 | : source(_source), target(_target), |
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243 | nodeRefMap(_source), edgeRefMap(_source) { |
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244 | for (NodeIt it(source); it != INVALID; ++it) { |
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245 | nodeRefMap[it] = target.addNode(); |
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246 | } |
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247 | for (EdgeIt it(source); it != INVALID; ++it) { |
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248 | edgeRefMap[it] = target.addEdge(nodeRefMap[source.source(it)], |
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249 | nodeRefMap[source.target(it)]); |
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250 | } |
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251 | } |
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252 | |
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253 | /// \brief Copies the node references into the given map. |
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254 | /// |
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255 | /// Copies the node references into the given map. |
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256 | template <typename NodeRef> |
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257 | const GraphCopy& nodeRef(NodeRef& map) const { |
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258 | for (NodeIt it(source); it != INVALID; ++it) { |
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259 | map.set(it, nodeRefMap[it]); |
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260 | } |
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261 | return *this; |
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262 | } |
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263 | |
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264 | /// \brief Reverse and copies the node references into the given map. |
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265 | /// |
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266 | /// Reverse and copies the node references into the given map. |
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267 | template <typename NodeRef> |
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268 | const GraphCopy& nodeCrossRef(NodeRef& map) const { |
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269 | for (NodeIt it(source); it != INVALID; ++it) { |
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270 | map.set(nodeRefMap[it], it); |
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271 | } |
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272 | return *this; |
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273 | } |
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274 | |
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275 | /// \brief Copies the edge references into the given map. |
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276 | /// |
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277 | /// Copies the edge references into the given map. |
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278 | template <typename EdgeRef> |
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279 | const GraphCopy& edgeRef(EdgeRef& map) const { |
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280 | for (EdgeIt it(source); it != INVALID; ++it) { |
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281 | map.set(it, edgeRefMap[it]); |
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282 | } |
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283 | return *this; |
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284 | } |
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285 | |
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286 | /// \brief Reverse and copies the edge references into the given map. |
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287 | /// |
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288 | /// Reverse and copies the edge references into the given map. |
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289 | template <typename EdgeRef> |
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290 | const GraphCopy& edgeCrossRef(EdgeRef& map) const { |
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291 | for (EdgeIt it(source); it != INVALID; ++it) { |
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292 | map.set(edgeRefMap[it], it); |
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293 | } |
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294 | return *this; |
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295 | } |
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296 | |
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297 | /// \brief Make copy of the given map. |
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298 | /// |
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299 | /// Makes copy of the given map for the newly created graph. |
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300 | /// The new map's key type is the target graph's node type, |
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301 | /// and the copied map's key type is the source graph's node |
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302 | /// type. |
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303 | template <typename TargetMap, typename SourceMap> |
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304 | const GraphCopy& nodeMap(TargetMap& tMap, const SourceMap& sMap) const { |
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305 | copyMap(tMap, sMap, NodeIt(source), nodeRefMap); |
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306 | return *this; |
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307 | } |
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308 | |
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309 | /// \brief Make copy of the given map. |
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310 | /// |
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311 | /// Makes copy of the given map for the newly created graph. |
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312 | /// The new map's key type is the target graph's edge type, |
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313 | /// and the copied map's key type is the source graph's edge |
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314 | /// type. |
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315 | template <typename TargetMap, typename SourceMap> |
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316 | const GraphCopy& edgeMap(TargetMap& tMap, const SourceMap& sMap) const { |
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317 | copyMap(tMap, sMap, EdgeIt(source), edgeRefMap); |
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318 | return *this; |
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319 | } |
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320 | |
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321 | /// \brief Gives back the stored node references. |
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322 | /// |
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323 | /// Gives back the stored node references. |
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324 | const NodeRefMap& nodeRef() const { |
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325 | return nodeRefMap; |
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326 | } |
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327 | |
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328 | /// \brief Gives back the stored edge references. |
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329 | /// |
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330 | /// Gives back the stored edge references. |
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331 | const EdgeRefMap& edgeRef() const { |
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332 | return edgeRefMap; |
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333 | } |
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334 | |
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335 | private: |
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336 | |
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337 | const Source& source; |
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338 | Target& target; |
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339 | |
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340 | NodeRefMap nodeRefMap; |
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341 | EdgeRefMap edgeRefMap; |
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342 | }; |
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343 | |
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344 | /// \brief Copy a graph to an other graph. |
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345 | /// |
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346 | /// Copy a graph to an other graph. |
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347 | /// The usage of the function: |
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348 | /// |
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349 | /// \code |
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350 | /// copyGraph(trg, src).nodeRef(nr).edgeCrossRef(ecr); |
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351 | /// \endcode |
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352 | /// |
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353 | /// After the copy the \c nr map will contain the mapping from the |
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354 | /// source graph's nodes to the target graph's nodes and the \c ecr will |
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355 | /// contain the mapping from the target graph's edges to the source's |
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356 | /// edges. |
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357 | template <typename Target, typename Source> |
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358 | GraphCopy<Target, Source> copyGraph(Target& target, const Source& source) { |
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359 | return GraphCopy<Target, Source>(target, source); |
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360 | } |
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361 | |
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362 | template <typename _Graph, typename _Item> |
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363 | class ItemSetTraits {}; |
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364 | |
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365 | template <typename _Graph> |
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366 | class ItemSetTraits<_Graph, typename _Graph::Node> { |
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367 | public: |
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368 | |
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369 | typedef _Graph Graph; |
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370 | |
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371 | typedef typename Graph::Node Item; |
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372 | typedef typename Graph::NodeIt ItemIt; |
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373 | |
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374 | template <typename _Value> |
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375 | class Map : public Graph::template NodeMap<_Value> { |
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376 | public: |
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377 | typedef typename Graph::template NodeMap<_Value> Parent; |
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378 | typedef typename Parent::Value Value; |
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379 | |
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380 | Map(const Graph& _graph) : Parent(_graph) {} |
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381 | Map(const Graph& _graph, const Value& _value) |
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382 | : Parent(_graph, _value) {} |
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383 | }; |
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384 | |
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385 | }; |
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386 | |
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387 | template <typename _Graph> |
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388 | class ItemSetTraits<_Graph, typename _Graph::Edge> { |
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389 | public: |
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390 | |
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391 | typedef _Graph Graph; |
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392 | |
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393 | typedef typename Graph::Edge Item; |
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394 | typedef typename Graph::EdgeIt ItemIt; |
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395 | |
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396 | template <typename _Value> |
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397 | class Map : public Graph::template EdgeMap<_Value> { |
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398 | public: |
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399 | typedef typename Graph::template EdgeMap<_Value> Parent; |
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400 | typedef typename Parent::Value Value; |
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401 | |
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402 | Map(const Graph& _graph) : Parent(_graph) {} |
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403 | Map(const Graph& _graph, const Value& _value) |
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404 | : Parent(_graph, _value) {} |
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405 | }; |
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406 | |
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407 | }; |
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408 | |
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409 | template <typename _Graph> |
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410 | class ItemSetTraits<_Graph, typename _Graph::UndirEdge> { |
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411 | public: |
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412 | |
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413 | typedef _Graph Graph; |
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414 | |
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415 | typedef typename Graph::UndirEdge Item; |
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416 | typedef typename Graph::UndirEdgeIt ItemIt; |
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417 | |
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418 | template <typename _Value> |
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419 | class Map : public Graph::template UndirEdgeMap<_Value> { |
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420 | public: |
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421 | typedef typename Graph::template UndirEdgeMap<_Value> Parent; |
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422 | typedef typename Parent::Value Value; |
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423 | |
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424 | Map(const Graph& _graph) : Parent(_graph) {} |
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425 | Map(const Graph& _graph, const Value& _value) |
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426 | : Parent(_graph, _value) {} |
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427 | }; |
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428 | |
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429 | }; |
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430 | |
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431 | /// @} |
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432 | |
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433 | /// \addtogroup graph_maps |
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434 | /// @{ |
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435 | |
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436 | template <typename Map, typename Enable = void> |
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437 | struct ReferenceMapTraits { |
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438 | typedef typename Map::Value Value; |
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439 | typedef typename Map::Value& Reference; |
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440 | typedef const typename Map::Value& ConstReference; |
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441 | typedef typename Map::Value* Pointer; |
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442 | typedef const typename Map::Value* ConstPointer; |
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443 | }; |
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444 | |
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445 | template <typename Map> |
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446 | struct ReferenceMapTraits< |
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447 | Map, |
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448 | typename enable_if<typename Map::FullTypeTag, void>::type |
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449 | > { |
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450 | typedef typename Map::Value Value; |
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451 | typedef typename Map::Reference Reference; |
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452 | typedef typename Map::ConstReference ConstReference; |
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453 | typedef typename Map::Pointer Pointer; |
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454 | typedef typename Map::ConstPointer ConstPointer; |
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455 | }; |
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456 | |
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457 | /// Provides an immutable and unique id for each item in the graph. |
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458 | |
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459 | /// The IdMap class provides a unique and immutable id for each item of the |
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460 | /// same type (e.g. node) in the graph. This id is <ul><li>\b unique: |
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461 | /// different items (nodes) get different ids <li>\b immutable: the id of an |
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462 | /// item (node) does not change (even if you delete other nodes). </ul> |
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463 | /// Through this map you get access (i.e. can read) the inner id values of |
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464 | /// the items stored in the graph. This map can be inverted with its member |
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465 | /// class \c InverseMap. |
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466 | /// |
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467 | template <typename _Graph, typename _Item> |
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468 | class IdMap { |
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469 | public: |
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470 | typedef _Graph Graph; |
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471 | typedef int Value; |
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472 | typedef _Item Item; |
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473 | typedef _Item Key; |
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474 | |
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475 | typedef True NeedCopy; |
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476 | |
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477 | /// \brief Constructor. |
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478 | /// |
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479 | /// Constructor for creating id map. |
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480 | IdMap(const Graph& _graph) : graph(&_graph) {} |
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481 | |
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482 | /// \brief Gives back the \e id of the item. |
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483 | /// |
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484 | /// Gives back the immutable and unique \e id of the map. |
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485 | int operator[](const Item& item) const { return graph->id(item);} |
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486 | |
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487 | |
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488 | private: |
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489 | const Graph* graph; |
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490 | |
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491 | public: |
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492 | |
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493 | /// \brief The class represents the inverse of its owner (IdMap). |
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494 | /// |
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495 | /// The class represents the inverse of its owner (IdMap). |
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496 | /// \see inverse() |
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497 | class InverseMap { |
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498 | public: |
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499 | |
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500 | typedef True NeedCopy; |
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501 | |
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502 | /// \brief Constructor. |
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503 | /// |
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504 | /// Constructor for creating an id-to-item map. |
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505 | InverseMap(const Graph& _graph) : graph(&_graph) {} |
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506 | |
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507 | /// \brief Constructor. |
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508 | /// |
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509 | /// Constructor for creating an id-to-item map. |
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510 | InverseMap(const IdMap& idMap) : graph(idMap.graph) {} |
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511 | |
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512 | /// \brief Gives back the given item from its id. |
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513 | /// |
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514 | /// Gives back the given item from its id. |
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515 | /// |
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516 | Item operator[](int id) const { return graph->fromId(id, Item());} |
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517 | private: |
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518 | const Graph* graph; |
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519 | }; |
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520 | |
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521 | /// \brief Gives back the inverse of the map. |
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522 | /// |
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523 | /// Gives back the inverse of the IdMap. |
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524 | InverseMap inverse() const { return InverseMap(*graph);} |
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525 | |
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526 | }; |
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527 | |
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528 | |
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529 | /// \brief General invertable graph-map type. |
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530 | |
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531 | /// This type provides simple invertable graph-maps. |
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532 | /// The InvertableMap wraps an arbitrary ReadWriteMap |
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533 | /// and if a key is set to a new value then store it |
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534 | /// in the inverse map. |
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535 | /// \param _Graph The graph type. |
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536 | /// \param _Map The map to extend with invertable functionality. |
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537 | template < |
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538 | typename _Graph, |
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539 | typename _Item, |
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540 | typename _Value, |
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541 | typename _Map |
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542 | = typename ItemSetTraits<_Graph, _Item>::template Map<_Value>::Parent |
---|
543 | > |
---|
544 | class InvertableMap : protected _Map { |
---|
545 | |
---|
546 | public: |
---|
547 | |
---|
548 | typedef _Map Map; |
---|
549 | typedef _Graph Graph; |
---|
550 | |
---|
551 | /// The key type of InvertableMap (Node, Edge, UndirEdge). |
---|
552 | typedef typename _Map::Key Key; |
---|
553 | /// The value type of the InvertableMap. |
---|
554 | typedef typename _Map::Value Value; |
---|
555 | |
---|
556 | /// \brief Constructor. |
---|
557 | /// |
---|
558 | /// Construct a new InvertableMap for the graph. |
---|
559 | /// |
---|
560 | InvertableMap(const Graph& graph) : Map(graph) {} |
---|
561 | |
---|
562 | /// \brief The setter function of the map. |
---|
563 | /// |
---|
564 | /// Sets the mapped value. |
---|
565 | void set(const Key& key, const Value& val) { |
---|
566 | Value oldval = Map::operator[](key); |
---|
567 | typename Container::iterator it = invMap.find(oldval); |
---|
568 | if (it != invMap.end() && it->second == key) { |
---|
569 | invMap.erase(it); |
---|
570 | } |
---|
571 | invMap.insert(make_pair(val, key)); |
---|
572 | Map::set(key, val); |
---|
573 | } |
---|
574 | |
---|
575 | /// \brief The getter function of the map. |
---|
576 | /// |
---|
577 | /// It gives back the value associated with the key. |
---|
578 | const Value operator[](const Key& key) const { |
---|
579 | return Map::operator[](key); |
---|
580 | } |
---|
581 | |
---|
582 | protected: |
---|
583 | |
---|
584 | /// \brief Add a new key to the map. |
---|
585 | /// |
---|
586 | /// Add a new key to the map. It is called by the |
---|
587 | /// \c AlterationNotifier. |
---|
588 | virtual void add(const Key& key) { |
---|
589 | Map::add(key); |
---|
590 | } |
---|
591 | |
---|
592 | /// \brief Erase the key from the map. |
---|
593 | /// |
---|
594 | /// Erase the key to the map. It is called by the |
---|
595 | /// \c AlterationNotifier. |
---|
596 | virtual void erase(const Key& key) { |
---|
597 | Value val = Map::operator[](key); |
---|
598 | typename Container::iterator it = invMap.find(val); |
---|
599 | if (it != invMap.end() && it->second == key) { |
---|
600 | invMap.erase(it); |
---|
601 | } |
---|
602 | Map::erase(key); |
---|
603 | } |
---|
604 | |
---|
605 | /// \brief Clear the keys from the map and inverse map. |
---|
606 | /// |
---|
607 | /// Clear the keys from the map and inverse map. It is called by the |
---|
608 | /// \c AlterationNotifier. |
---|
609 | virtual void clear() { |
---|
610 | invMap.clear(); |
---|
611 | Map::clear(); |
---|
612 | } |
---|
613 | |
---|
614 | private: |
---|
615 | |
---|
616 | typedef std::map<Value, Key> Container; |
---|
617 | Container invMap; |
---|
618 | |
---|
619 | public: |
---|
620 | |
---|
621 | /// \brief The inverse map type. |
---|
622 | /// |
---|
623 | /// The inverse of this map. The subscript operator of the map |
---|
624 | /// gives back always the item what was last assigned to the value. |
---|
625 | class InverseMap { |
---|
626 | public: |
---|
627 | /// \brief Constructor of the InverseMap. |
---|
628 | /// |
---|
629 | /// Constructor of the InverseMap. |
---|
630 | InverseMap(const InvertableMap& _inverted) : inverted(_inverted) {} |
---|
631 | |
---|
632 | /// The value type of the InverseMap. |
---|
633 | typedef typename InvertableMap::Key Value; |
---|
634 | /// The key type of the InverseMap. |
---|
635 | typedef typename InvertableMap::Value Key; |
---|
636 | |
---|
637 | /// \brief Subscript operator. |
---|
638 | /// |
---|
639 | /// Subscript operator. It gives back always the item |
---|
640 | /// what was last assigned to the value. |
---|
641 | Value operator[](const Key& key) const { |
---|
642 | typename Container::const_iterator it = inverted.invMap.find(key); |
---|
643 | return it->second; |
---|
644 | } |
---|
645 | |
---|
646 | private: |
---|
647 | const InvertableMap& inverted; |
---|
648 | }; |
---|
649 | |
---|
650 | /// \brief It gives back the just readeable inverse map. |
---|
651 | /// |
---|
652 | /// It gives back the just readeable inverse map. |
---|
653 | InverseMap inverse() const { |
---|
654 | return InverseMap(*this); |
---|
655 | } |
---|
656 | |
---|
657 | |
---|
658 | |
---|
659 | }; |
---|
660 | |
---|
661 | /// \brief Provides a mutable, continuous and unique descriptor for each |
---|
662 | /// item in the graph. |
---|
663 | /// |
---|
664 | /// The DescriptorMap class provides a unique and continuous (but mutable) |
---|
665 | /// descriptor (id) for each item of the same type (e.g. node) in the |
---|
666 | /// graph. This id is <ul><li>\b unique: different items (nodes) get |
---|
667 | /// different ids <li>\b continuous: the range of the ids is the set of |
---|
668 | /// integers between 0 and \c n-1, where \c n is the number of the items of |
---|
669 | /// this type (e.g. nodes) (so the id of a node can change if you delete an |
---|
670 | /// other node, i.e. this id is mutable). </ul> This map can be inverted |
---|
671 | /// with its member class \c InverseMap. |
---|
672 | /// |
---|
673 | /// \param _Graph The graph class the \c DescriptorMap belongs to. |
---|
674 | /// \param _Item The Item is the Key of the Map. It may be Node, Edge or |
---|
675 | /// UndirEdge. |
---|
676 | /// \param _Map A ReadWriteMap mapping from the item type to integer. |
---|
677 | template < |
---|
678 | typename _Graph, |
---|
679 | typename _Item, |
---|
680 | typename _Map |
---|
681 | = typename ItemSetTraits<_Graph, _Item>::template Map<int>::Parent |
---|
682 | > |
---|
683 | class DescriptorMap : protected _Map { |
---|
684 | |
---|
685 | typedef _Item Item; |
---|
686 | typedef _Map Map; |
---|
687 | |
---|
688 | public: |
---|
689 | /// The graph class of DescriptorMap. |
---|
690 | typedef _Graph Graph; |
---|
691 | |
---|
692 | /// The key type of DescriptorMap (Node, Edge, UndirEdge). |
---|
693 | typedef typename _Map::Key Key; |
---|
694 | /// The value type of DescriptorMap. |
---|
695 | typedef typename _Map::Value Value; |
---|
696 | |
---|
697 | /// \brief Constructor. |
---|
698 | /// |
---|
699 | /// Constructor for descriptor map. |
---|
700 | DescriptorMap(const Graph& _graph) : Map(_graph) { |
---|
701 | build(); |
---|
702 | } |
---|
703 | |
---|
704 | protected: |
---|
705 | |
---|
706 | /// \brief Add a new key to the map. |
---|
707 | /// |
---|
708 | /// Add a new key to the map. It is called by the |
---|
709 | /// \c AlterationNotifier. |
---|
710 | virtual void add(const Item& item) { |
---|
711 | Map::add(item); |
---|
712 | Map::set(item, invMap.size()); |
---|
713 | invMap.push_back(item); |
---|
714 | } |
---|
715 | |
---|
716 | /// \brief Erase the key from the map. |
---|
717 | /// |
---|
718 | /// Erase the key to the map. It is called by the |
---|
719 | /// \c AlterationNotifier. |
---|
720 | virtual void erase(const Item& item) { |
---|
721 | Map::set(invMap.back(), Map::operator[](item)); |
---|
722 | invMap[Map::operator[](item)] = invMap.back(); |
---|
723 | invMap.pop_back(); |
---|
724 | Map::erase(item); |
---|
725 | } |
---|
726 | |
---|
727 | /// \brief Build the unique map. |
---|
728 | /// |
---|
729 | /// Build the unique map. It is called by the |
---|
730 | /// \c AlterationNotifier. |
---|
731 | virtual void build() { |
---|
732 | Map::build(); |
---|
733 | Item it; |
---|
734 | const typename Map::Graph* graph = Map::getGraph(); |
---|
735 | for (graph->first(it); it != INVALID; graph->next(it)) { |
---|
736 | Map::set(it, invMap.size()); |
---|
737 | invMap.push_back(it); |
---|
738 | } |
---|
739 | } |
---|
740 | |
---|
741 | /// \brief Clear the keys from the map. |
---|
742 | /// |
---|
743 | /// Clear the keys from the map. It is called by the |
---|
744 | /// \c AlterationNotifier. |
---|
745 | virtual void clear() { |
---|
746 | invMap.clear(); |
---|
747 | Map::clear(); |
---|
748 | } |
---|
749 | |
---|
750 | public: |
---|
751 | |
---|
752 | /// \brief Swaps the position of the two items in the map. |
---|
753 | /// |
---|
754 | /// Swaps the position of the two items in the map. |
---|
755 | void swap(const Item& p, const Item& q) { |
---|
756 | int pi = Map::operator[](p); |
---|
757 | int qi = Map::operator[](q); |
---|
758 | Map::set(p, qi); |
---|
759 | invMap[qi] = p; |
---|
760 | Map::set(q, pi); |
---|
761 | invMap[pi] = q; |
---|
762 | } |
---|
763 | |
---|
764 | /// \brief Gives back the \e descriptor of the item. |
---|
765 | /// |
---|
766 | /// Gives back the mutable and unique \e descriptor of the map. |
---|
767 | int operator[](const Item& item) const { |
---|
768 | return Map::operator[](item); |
---|
769 | } |
---|
770 | |
---|
771 | private: |
---|
772 | |
---|
773 | typedef std::vector<Item> Container; |
---|
774 | Container invMap; |
---|
775 | |
---|
776 | public: |
---|
777 | /// \brief The inverse map type of DescriptorMap. |
---|
778 | /// |
---|
779 | /// The inverse map type of DescriptorMap. |
---|
780 | class InverseMap { |
---|
781 | public: |
---|
782 | /// \brief Constructor of the InverseMap. |
---|
783 | /// |
---|
784 | /// Constructor of the InverseMap. |
---|
785 | InverseMap(const DescriptorMap& _inverted) |
---|
786 | : inverted(_inverted) {} |
---|
787 | |
---|
788 | |
---|
789 | /// The value type of the InverseMap. |
---|
790 | typedef typename DescriptorMap::Key Value; |
---|
791 | /// The key type of the InverseMap. |
---|
792 | typedef typename DescriptorMap::Value Key; |
---|
793 | |
---|
794 | /// \brief Subscript operator. |
---|
795 | /// |
---|
796 | /// Subscript operator. It gives back the item |
---|
797 | /// that the descriptor belongs to currently. |
---|
798 | Value operator[](const Key& key) const { |
---|
799 | return inverted.invMap[key]; |
---|
800 | } |
---|
801 | |
---|
802 | /// \brief Size of the map. |
---|
803 | /// |
---|
804 | /// Returns the size of the map. |
---|
805 | int size() const { |
---|
806 | return inverted.invMap.size(); |
---|
807 | } |
---|
808 | |
---|
809 | private: |
---|
810 | const DescriptorMap& inverted; |
---|
811 | }; |
---|
812 | |
---|
813 | /// \brief Gives back the inverse of the map. |
---|
814 | /// |
---|
815 | /// Gives back the inverse of the map. |
---|
816 | const InverseMap inverse() const { |
---|
817 | return InverseMap(*this); |
---|
818 | } |
---|
819 | }; |
---|
820 | |
---|
821 | /// \brief Returns the source of the given edge. |
---|
822 | /// |
---|
823 | /// The SourceMap gives back the source Node of the given edge. |
---|
824 | /// \author Balazs Dezso |
---|
825 | template <typename Graph> |
---|
826 | class SourceMap { |
---|
827 | public: |
---|
828 | |
---|
829 | typedef True NeedCopy; |
---|
830 | |
---|
831 | typedef typename Graph::Node Value; |
---|
832 | typedef typename Graph::Edge Key; |
---|
833 | |
---|
834 | /// \brief Constructor |
---|
835 | /// |
---|
836 | /// Constructor |
---|
837 | /// \param _graph The graph that the map belongs to. |
---|
838 | SourceMap(const Graph& _graph) : graph(_graph) {} |
---|
839 | |
---|
840 | /// \brief The subscript operator. |
---|
841 | /// |
---|
842 | /// The subscript operator. |
---|
843 | /// \param edge The edge |
---|
844 | /// \return The source of the edge |
---|
845 | Value operator[](const Key& edge) { |
---|
846 | return graph.source(edge); |
---|
847 | } |
---|
848 | |
---|
849 | private: |
---|
850 | const Graph& graph; |
---|
851 | }; |
---|
852 | |
---|
853 | /// \brief Returns a \ref SourceMap class |
---|
854 | /// |
---|
855 | /// This function just returns an \ref SourceMap class. |
---|
856 | /// \relates SourceMap |
---|
857 | template <typename Graph> |
---|
858 | inline SourceMap<Graph> sourceMap(const Graph& graph) { |
---|
859 | return SourceMap<Graph>(graph); |
---|
860 | } |
---|
861 | |
---|
862 | /// \brief Returns the target of the given edge. |
---|
863 | /// |
---|
864 | /// The TargetMap gives back the target Node of the given edge. |
---|
865 | /// \author Balazs Dezso |
---|
866 | template <typename Graph> |
---|
867 | class TargetMap { |
---|
868 | public: |
---|
869 | |
---|
870 | typedef True NeedCopy; |
---|
871 | |
---|
872 | typedef typename Graph::Node Value; |
---|
873 | typedef typename Graph::Edge Key; |
---|
874 | |
---|
875 | /// \brief Constructor |
---|
876 | /// |
---|
877 | /// Constructor |
---|
878 | /// \param _graph The graph that the map belongs to. |
---|
879 | TargetMap(const Graph& _graph) : graph(_graph) {} |
---|
880 | |
---|
881 | /// \brief The subscript operator. |
---|
882 | /// |
---|
883 | /// The subscript operator. |
---|
884 | /// \param e The edge |
---|
885 | /// \return The target of the edge |
---|
886 | Value operator[](const Key& e) { |
---|
887 | return graph.target(e); |
---|
888 | } |
---|
889 | |
---|
890 | private: |
---|
891 | const Graph& graph; |
---|
892 | }; |
---|
893 | |
---|
894 | /// \brief Returns a \ref TargetMap class |
---|
895 | /// |
---|
896 | /// This function just returns a \ref TargetMap class. |
---|
897 | /// \relates TargetMap |
---|
898 | template <typename Graph> |
---|
899 | inline TargetMap<Graph> targetMap(const Graph& graph) { |
---|
900 | return TargetMap<Graph>(graph); |
---|
901 | } |
---|
902 | |
---|
903 | /// \brief Returns the "forward" directed edge view of an undirected edge. |
---|
904 | /// |
---|
905 | /// Returns the "forward" directed edge view of an undirected edge. |
---|
906 | /// \author Balazs Dezso |
---|
907 | template <typename Graph> |
---|
908 | class ForwardMap { |
---|
909 | public: |
---|
910 | |
---|
911 | typedef True NeedCopy; |
---|
912 | |
---|
913 | typedef typename Graph::Edge Value; |
---|
914 | typedef typename Graph::UndirEdge Key; |
---|
915 | |
---|
916 | /// \brief Constructor |
---|
917 | /// |
---|
918 | /// Constructor |
---|
919 | /// \param _graph The graph that the map belongs to. |
---|
920 | ForwardMap(const Graph& _graph) : graph(_graph) {} |
---|
921 | |
---|
922 | /// \brief The subscript operator. |
---|
923 | /// |
---|
924 | /// The subscript operator. |
---|
925 | /// \param key An undirected edge |
---|
926 | /// \return The "forward" directed edge view of undirected edge |
---|
927 | Value operator[](const Key& key) const { |
---|
928 | return graph.edgeWithSource(key, graph.source(key)); |
---|
929 | } |
---|
930 | |
---|
931 | private: |
---|
932 | const Graph& graph; |
---|
933 | }; |
---|
934 | |
---|
935 | /// \brief Returns a \ref ForwardMap class |
---|
936 | /// |
---|
937 | /// This function just returns an \ref ForwardMap class. |
---|
938 | /// \relates ForwardMap |
---|
939 | template <typename Graph> |
---|
940 | inline ForwardMap<Graph> forwardMap(const Graph& graph) { |
---|
941 | return ForwardMap<Graph>(graph); |
---|
942 | } |
---|
943 | |
---|
944 | /// \brief Returns the "backward" directed edge view of an undirected edge. |
---|
945 | /// |
---|
946 | /// Returns the "backward" directed edge view of an undirected edge. |
---|
947 | /// \author Balazs Dezso |
---|
948 | template <typename Graph> |
---|
949 | class BackwardMap { |
---|
950 | public: |
---|
951 | typedef True NeedCopy; |
---|
952 | |
---|
953 | typedef typename Graph::Edge Value; |
---|
954 | typedef typename Graph::UndirEdge Key; |
---|
955 | |
---|
956 | /// \brief Constructor |
---|
957 | /// |
---|
958 | /// Constructor |
---|
959 | /// \param _graph The graph that the map belongs to. |
---|
960 | BackwardMap(const Graph& _graph) : graph(_graph) {} |
---|
961 | |
---|
962 | /// \brief The subscript operator. |
---|
963 | /// |
---|
964 | /// The subscript operator. |
---|
965 | /// \param key An undirected edge |
---|
966 | /// \return The "backward" directed edge view of undirected edge |
---|
967 | Value operator[](const Key& key) const { |
---|
968 | return graph.edgeWithSource(key, graph.target(key)); |
---|
969 | } |
---|
970 | |
---|
971 | private: |
---|
972 | const Graph& graph; |
---|
973 | }; |
---|
974 | |
---|
975 | /// \brief Returns a \ref BackwardMap class |
---|
976 | |
---|
977 | /// This function just returns a \ref BackwardMap class. |
---|
978 | /// \relates BackwardMap |
---|
979 | template <typename Graph> |
---|
980 | inline BackwardMap<Graph> backwardMap(const Graph& graph) { |
---|
981 | return BackwardMap<Graph>(graph); |
---|
982 | } |
---|
983 | |
---|
984 | template <typename _Graph> |
---|
985 | class DegMapBase { |
---|
986 | public: |
---|
987 | |
---|
988 | typedef _Graph Graph; |
---|
989 | |
---|
990 | protected: |
---|
991 | |
---|
992 | typedef typename Graph::template NodeMap<int> IntNodeMap; |
---|
993 | |
---|
994 | }; |
---|
995 | |
---|
996 | /// \brief Map of the node in-degrees. |
---|
997 | /// |
---|
998 | /// This map returns the in-degree of a node. Once it is constructed, |
---|
999 | /// the degrees are stored in a standard NodeMap, so each query is done |
---|
1000 | /// in constant time. On the other hand, the values are updated automatically |
---|
1001 | /// whenever the graph changes. |
---|
1002 | /// |
---|
1003 | /// \sa OutDegMap |
---|
1004 | |
---|
1005 | template <typename _Graph> |
---|
1006 | class InDegMap |
---|
1007 | : protected AlterationNotifier<typename _Graph::Edge>::ObserverBase { |
---|
1008 | |
---|
1009 | public: |
---|
1010 | |
---|
1011 | typedef _Graph Graph; |
---|
1012 | typedef int Value; |
---|
1013 | typedef typename Graph::Node Key; |
---|
1014 | |
---|
1015 | private: |
---|
1016 | |
---|
1017 | class AutoNodeMap : public Graph::template NodeMap<int> { |
---|
1018 | public: |
---|
1019 | |
---|
1020 | typedef typename Graph::template NodeMap<int> Parent; |
---|
1021 | |
---|
1022 | typedef typename Parent::Key Key; |
---|
1023 | typedef typename Parent::Value Value; |
---|
1024 | |
---|
1025 | AutoNodeMap(const Graph& graph) : Parent(graph, 0) {} |
---|
1026 | |
---|
1027 | void add(const Key& key) { |
---|
1028 | Parent::add(key); |
---|
1029 | Parent::set(key, 0); |
---|
1030 | } |
---|
1031 | }; |
---|
1032 | |
---|
1033 | public: |
---|
1034 | |
---|
1035 | /// \brief Constructor. |
---|
1036 | /// |
---|
1037 | /// Constructor for creating in-degree map. |
---|
1038 | InDegMap(const Graph& _graph) : graph(_graph), deg(_graph) { |
---|
1039 | AlterationNotifier<typename _Graph::Edge> |
---|
1040 | ::ObserverBase::attach(graph.getNotifier(typename _Graph::Edge())); |
---|
1041 | |
---|
1042 | for(typename _Graph::NodeIt it(graph); it != INVALID; ++it) { |
---|
1043 | deg[it] = countInEdges(graph, it); |
---|
1044 | } |
---|
1045 | } |
---|
1046 | |
---|
1047 | virtual ~InDegMap() { |
---|
1048 | AlterationNotifier<typename _Graph::Edge>:: |
---|
1049 | ObserverBase::detach(); |
---|
1050 | } |
---|
1051 | |
---|
1052 | /// Gives back the in-degree of a Node. |
---|
1053 | int operator[](const Key& key) const { |
---|
1054 | return deg[key]; |
---|
1055 | } |
---|
1056 | |
---|
1057 | protected: |
---|
1058 | |
---|
1059 | typedef typename Graph::Edge Edge; |
---|
1060 | |
---|
1061 | virtual void add(const Edge& edge) { |
---|
1062 | ++deg[graph.target(edge)]; |
---|
1063 | } |
---|
1064 | |
---|
1065 | virtual void erase(const Edge& edge) { |
---|
1066 | --deg[graph.target(edge)]; |
---|
1067 | } |
---|
1068 | |
---|
1069 | |
---|
1070 | virtual void build() { |
---|
1071 | for(typename _Graph::NodeIt it(graph); it != INVALID; ++it) { |
---|
1072 | deg[it] = countInEdges(graph, it); |
---|
1073 | } |
---|
1074 | } |
---|
1075 | |
---|
1076 | virtual void clear() { |
---|
1077 | for(typename _Graph::NodeIt it(graph); it != INVALID; ++it) { |
---|
1078 | deg[it] = 0; |
---|
1079 | } |
---|
1080 | } |
---|
1081 | private: |
---|
1082 | |
---|
1083 | const _Graph& graph; |
---|
1084 | AutoNodeMap deg; |
---|
1085 | }; |
---|
1086 | |
---|
1087 | |
---|
1088 | /// \brief Map of the node out-degrees. |
---|
1089 | /// |
---|
1090 | /// This map returns the out-degree of a node. Once it is constructed, |
---|
1091 | /// the degrees are stored in a standard NodeMap, so each query is done |
---|
1092 | /// in constant time. On the other hand, the values are updated automatically |
---|
1093 | /// whenever the graph changes. |
---|
1094 | /// |
---|
1095 | /// \sa OutDegMap |
---|
1096 | |
---|
1097 | template <typename _Graph> |
---|
1098 | class OutDegMap |
---|
1099 | : protected AlterationNotifier<typename _Graph::Edge>::ObserverBase { |
---|
1100 | |
---|
1101 | public: |
---|
1102 | |
---|
1103 | typedef _Graph Graph; |
---|
1104 | typedef int Value; |
---|
1105 | typedef typename Graph::Node Key; |
---|
1106 | |
---|
1107 | private: |
---|
1108 | |
---|
1109 | class AutoNodeMap : public Graph::template NodeMap<int> { |
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1110 | public: |
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1111 | |
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1112 | typedef typename Graph::template NodeMap<int> Parent; |
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1113 | |
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1114 | typedef typename Parent::Key Key; |
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1115 | typedef typename Parent::Value Value; |
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1116 | |
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1117 | AutoNodeMap(const Graph& graph) : Parent(graph, 0) {} |
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1118 | |
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1119 | void add(const Key& key) { |
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1120 | Parent::add(key); |
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1121 | Parent::set(key, 0); |
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1122 | } |
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1123 | }; |
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1124 | |
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1125 | public: |
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1126 | |
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1127 | /// \brief Constructor. |
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1128 | /// |
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1129 | /// Constructor for creating out-degree map. |
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1130 | OutDegMap(const Graph& _graph) : graph(_graph), deg(_graph) { |
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1131 | AlterationNotifier<typename _Graph::Edge> |
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1132 | ::ObserverBase::attach(graph.getNotifier(typename _Graph::Edge())); |
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1133 | |
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1134 | for(typename _Graph::NodeIt it(graph); it != INVALID; ++it) { |
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1135 | deg[it] = countOutEdges(graph, it); |
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1136 | } |
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1137 | } |
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1138 | |
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1139 | virtual ~OutDegMap() { |
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1140 | AlterationNotifier<typename _Graph::Edge>:: |
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1141 | ObserverBase::detach(); |
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1142 | } |
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1143 | |
---|
1144 | /// Gives back the in-degree of a Node. |
---|
1145 | int operator[](const Key& key) const { |
---|
1146 | return deg[key]; |
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1147 | } |
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1148 | |
---|
1149 | protected: |
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1150 | |
---|
1151 | typedef typename Graph::Edge Edge; |
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1152 | |
---|
1153 | virtual void add(const Edge& edge) { |
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1154 | ++deg[graph.source(edge)]; |
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1155 | } |
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1156 | |
---|
1157 | virtual void erase(const Edge& edge) { |
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1158 | --deg[graph.source(edge)]; |
---|
1159 | } |
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1160 | |
---|
1161 | |
---|
1162 | virtual void build() { |
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1163 | for(typename _Graph::NodeIt it(graph); it != INVALID; ++it) { |
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1164 | deg[it] = countOutEdges(graph, it); |
---|
1165 | } |
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1166 | } |
---|
1167 | |
---|
1168 | virtual void clear() { |
---|
1169 | for(typename _Graph::NodeIt it(graph); it != INVALID; ++it) { |
---|
1170 | deg[it] = 0; |
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1171 | } |
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1172 | } |
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1173 | private: |
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1174 | |
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1175 | const _Graph& graph; |
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1176 | AutoNodeMap deg; |
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1177 | }; |
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1178 | |
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1179 | /// @} |
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1180 | |
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1181 | } //END OF NAMESPACE LEMON |
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1182 | |
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1183 | #endif |
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