1 | // -*- mode:C++ -*- |
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2 | |
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3 | #ifndef HUGO_SMART_GRAPH_H |
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4 | #define HUGO_SMART_GRAPH_H |
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5 | |
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6 | ///\ingroup graphs |
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7 | ///\file |
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8 | ///\brief SmartGraph and SymSmartGraph classes. |
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9 | |
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10 | #include <vector> |
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11 | #include <limits.h> |
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12 | |
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13 | #include "invalid.h" |
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14 | |
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15 | namespace hugo { |
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16 | |
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17 | /// \addtogroup graphs |
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18 | /// @{ |
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19 | class SymSmartGraph; |
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20 | |
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21 | ///A smart graph class. |
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22 | |
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23 | ///This is a simple and fast graph implementation. |
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24 | ///It is also quite memory efficient, but at the price |
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25 | ///that <b> it does not support node and edge deletion</b>. |
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26 | ///It conforms to the graph interface documented under |
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27 | ///the description of \ref GraphSkeleton. |
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28 | ///\sa \ref GraphSkeleton. |
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29 | /// |
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30 | ///\todo Some member functions could be \c static. |
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31 | ///\author Alpar Juttner |
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32 | class SmartGraph { |
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33 | |
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34 | struct NodeT |
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35 | { |
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36 | int first_in,first_out; |
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37 | NodeT() : first_in(-1), first_out(-1) {} |
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38 | }; |
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39 | struct EdgeT |
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40 | { |
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41 | int head, tail, next_in, next_out; |
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42 | //FIXME: is this necessary? |
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43 | EdgeT() : next_in(-1), next_out(-1) {} |
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44 | }; |
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45 | |
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46 | std::vector<NodeT> nodes; |
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47 | |
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48 | std::vector<EdgeT> edges; |
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49 | |
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50 | protected: |
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51 | |
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52 | template <typename Key> class DynMapBase |
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53 | { |
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54 | protected: |
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55 | const SmartGraph* G; |
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56 | public: |
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57 | virtual void add(const Key k) = 0; |
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58 | virtual void erase(const Key k) = 0; |
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59 | DynMapBase(const SmartGraph &_G) : G(&_G) {} |
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60 | virtual ~DynMapBase() {} |
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61 | friend class SmartGraph; |
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62 | }; |
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63 | |
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64 | public: |
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65 | template <typename T> class EdgeMap; |
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66 | template <typename T> class EdgeMap; |
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67 | |
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68 | class Node; |
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69 | class Edge; |
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70 | |
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71 | // protected: |
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72 | // HELPME: |
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73 | protected: |
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74 | ///\bug It must be public because of SymEdgeMap. |
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75 | /// |
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76 | mutable std::vector<DynMapBase<Node> * > dyn_node_maps; |
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77 | ///\bug It must be public because of SymEdgeMap. |
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78 | /// |
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79 | mutable std::vector<DynMapBase<Edge> * > dyn_edge_maps; |
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80 | |
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81 | public: |
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82 | |
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83 | class NodeIt; |
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84 | class EdgeIt; |
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85 | class OutEdgeIt; |
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86 | class InEdgeIt; |
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87 | |
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88 | template <typename T> class NodeMap; |
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89 | template <typename T> class EdgeMap; |
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90 | |
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91 | public: |
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92 | |
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93 | SmartGraph() : nodes(), edges() { } |
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94 | SmartGraph(const SmartGraph &_g) : nodes(_g.nodes), edges(_g.edges) { } |
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95 | |
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96 | ~SmartGraph() |
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97 | { |
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98 | for(std::vector<DynMapBase<Node> * >::iterator i=dyn_node_maps.begin(); |
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99 | i!=dyn_node_maps.end(); ++i) (**i).G=NULL; |
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100 | for(std::vector<DynMapBase<Edge> * >::iterator i=dyn_edge_maps.begin(); |
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101 | i!=dyn_edge_maps.end(); ++i) (**i).G=NULL; |
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102 | } |
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103 | |
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104 | int nodeNum() const { return nodes.size(); } //FIXME: What is this? |
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105 | int edgeNum() const { return edges.size(); } //FIXME: What is this? |
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106 | |
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107 | ///\bug This function does something different than |
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108 | ///its name would suggests... |
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109 | int maxNodeId() const { return nodes.size(); } //FIXME: What is this? |
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110 | ///\bug This function does something different than |
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111 | ///its name would suggests... |
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112 | int maxEdgeId() const { return edges.size(); } //FIXME: What is this? |
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113 | |
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114 | Node tail(Edge e) const { return edges[e.n].tail; } |
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115 | Node head(Edge e) const { return edges[e.n].head; } |
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116 | |
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117 | Node aNode(OutEdgeIt e) const { return edges[e.n].tail; } |
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118 | Node aNode(InEdgeIt e) const { return edges[e.n].head; } |
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119 | |
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120 | Node bNode(OutEdgeIt e) const { return edges[e.n].head; } |
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121 | Node bNode(InEdgeIt e) const { return edges[e.n].tail; } |
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122 | |
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123 | NodeIt& first(NodeIt& v) const { |
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124 | v=NodeIt(*this); return v; } |
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125 | EdgeIt& first(EdgeIt& e) const { |
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126 | e=EdgeIt(*this); return e; } |
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127 | OutEdgeIt& first(OutEdgeIt& e, const Node v) const { |
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128 | e=OutEdgeIt(*this,v); return e; } |
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129 | InEdgeIt& first(InEdgeIt& e, const Node v) const { |
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130 | e=InEdgeIt(*this,v); return e; } |
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131 | |
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132 | // template< typename It > |
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133 | // It first() const { It e; first(e); return e; } |
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134 | |
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135 | // template< typename It > |
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136 | // It first(Node v) const { It e; first(e,v); return e; } |
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137 | |
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138 | bool valid(Edge e) const { return e.n!=-1; } |
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139 | bool valid(Node n) const { return n.n!=-1; } |
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140 | |
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141 | void setInvalid(Edge &e) { e.n=-1; } |
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142 | void setInvalid(Node &n) { n.n=-1; } |
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143 | |
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144 | template <typename It> It getNext(It it) const |
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145 | { It tmp(it); return next(tmp); } |
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146 | |
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147 | NodeIt& next(NodeIt& it) const { |
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148 | it.n=(it.n+2)%(nodes.size()+1)-1; |
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149 | return it; |
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150 | } |
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151 | OutEdgeIt& next(OutEdgeIt& it) const |
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152 | { it.n=edges[it.n].next_out; return it; } |
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153 | InEdgeIt& next(InEdgeIt& it) const |
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154 | { it.n=edges[it.n].next_in; return it; } |
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155 | EdgeIt& next(EdgeIt& it) const { --it.n; return it; } |
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156 | |
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157 | int id(Node v) const { return v.n; } |
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158 | int id(Edge e) const { return e.n; } |
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159 | |
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160 | Node addNode() { |
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161 | Node n; n.n=nodes.size(); |
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162 | nodes.push_back(NodeT()); //FIXME: Hmmm... |
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163 | |
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164 | for(std::vector<DynMapBase<Node> * >::iterator i=dyn_node_maps.begin(); |
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165 | i!=dyn_node_maps.end(); ++i) (**i).add(n); |
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166 | |
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167 | return n; |
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168 | } |
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169 | |
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170 | Edge addEdge(Node u, Node v) { |
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171 | Edge e; e.n=edges.size(); edges.push_back(EdgeT()); //FIXME: Hmmm... |
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172 | edges[e.n].tail=u.n; edges[e.n].head=v.n; |
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173 | edges[e.n].next_out=nodes[u.n].first_out; |
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174 | edges[e.n].next_in=nodes[v.n].first_in; |
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175 | nodes[u.n].first_out=nodes[v.n].first_in=e.n; |
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176 | |
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177 | for(std::vector<DynMapBase<Edge> * >::iterator i=dyn_edge_maps.begin(); |
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178 | i!=dyn_edge_maps.end(); ++i) (**i).add(e); |
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179 | |
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180 | return e; |
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181 | } |
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182 | |
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183 | void clear() {nodes.clear();edges.clear();} |
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184 | |
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185 | class Node { |
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186 | friend class SmartGraph; |
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187 | template <typename T> friend class NodeMap; |
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188 | |
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189 | friend class Edge; |
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190 | friend class OutEdgeIt; |
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191 | friend class InEdgeIt; |
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192 | friend class SymEdge; |
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193 | |
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194 | protected: |
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195 | int n; |
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196 | friend int SmartGraph::id(Node v) const; |
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197 | Node(int nn) {n=nn;} |
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198 | public: |
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199 | Node() {} |
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200 | Node (Invalid i) { n=-1; } |
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201 | bool operator==(const Node i) const {return n==i.n;} |
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202 | bool operator!=(const Node i) const {return n!=i.n;} |
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203 | bool operator<(const Node i) const {return n<i.n;} |
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204 | }; |
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205 | |
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206 | class NodeIt : public Node { |
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207 | friend class SmartGraph; |
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208 | public: |
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209 | NodeIt() : Node() { } |
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210 | NodeIt(Invalid i) : Node(i) { } |
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211 | NodeIt(const SmartGraph& G) : Node(G.nodes.size()?0:-1) { } |
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212 | }; |
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213 | |
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214 | class Edge { |
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215 | friend class SmartGraph; |
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216 | template <typename T> friend class EdgeMap; |
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217 | |
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218 | //template <typename T> friend class SymSmartGraph::SymEdgeMap; |
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219 | //friend Edge SymSmartGraph::opposite(Edge) const; |
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220 | |
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221 | friend class Node; |
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222 | friend class NodeIt; |
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223 | protected: |
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224 | int n; |
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225 | friend int SmartGraph::id(Edge e) const; |
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226 | |
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227 | Edge(int nn) {n=nn;} |
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228 | public: |
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229 | Edge() { } |
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230 | Edge (Invalid) { n=-1; } |
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231 | bool operator==(const Edge i) const {return n==i.n;} |
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232 | bool operator!=(const Edge i) const {return n!=i.n;} |
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233 | bool operator<(const Edge i) const {return n<i.n;} |
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234 | ///\bug This is a workaround until somebody tells me how to |
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235 | ///make class \c SymSmartGraph::SymEdgeMap friend of Edge |
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236 | int &idref() {return n;} |
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237 | const int &idref() const {return n;} |
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238 | }; |
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239 | |
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240 | class EdgeIt : public Edge { |
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241 | friend class SmartGraph; |
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242 | public: |
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243 | EdgeIt(const SmartGraph& G) : Edge(G.edges.size()-1) { } |
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244 | EdgeIt (Invalid i) : Edge(i) { } |
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245 | EdgeIt() : Edge() { } |
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246 | ///\bug This is a workaround until somebody tells me how to |
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247 | ///make class \c SymSmartGraph::SymEdgeMap friend of Edge |
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248 | int &idref() {return n;} |
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249 | }; |
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250 | |
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251 | class OutEdgeIt : public Edge { |
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252 | friend class SmartGraph; |
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253 | public: |
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254 | OutEdgeIt() : Edge() { } |
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255 | OutEdgeIt (Invalid i) : Edge(i) { } |
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256 | |
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257 | OutEdgeIt(const SmartGraph& G,const Node v) |
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258 | : Edge(G.nodes[v.n].first_out) {} |
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259 | }; |
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260 | |
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261 | class InEdgeIt : public Edge { |
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262 | friend class SmartGraph; |
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263 | public: |
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264 | InEdgeIt() : Edge() { } |
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265 | InEdgeIt (Invalid i) : Edge(i) { } |
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266 | InEdgeIt(const SmartGraph& G,Node v) :Edge(G.nodes[v.n].first_in){} |
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267 | }; |
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268 | |
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269 | template <typename T> class NodeMap : public DynMapBase<Node> |
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270 | { |
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271 | std::vector<T> container; |
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272 | |
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273 | public: |
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274 | typedef T ValueType; |
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275 | typedef Node KeyType; |
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276 | |
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277 | NodeMap(const SmartGraph &_G) : |
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278 | DynMapBase<Node>(_G), container(_G.maxNodeId()) |
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279 | { |
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280 | G->dyn_node_maps.push_back(this); |
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281 | } |
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282 | NodeMap(const SmartGraph &_G,const T &t) : |
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283 | DynMapBase<Node>(_G), container(_G.maxNodeId(),t) |
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284 | { |
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285 | G->dyn_node_maps.push_back(this); |
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286 | } |
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287 | |
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288 | NodeMap(const NodeMap<T> &m) : |
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289 | DynMapBase<Node>(*m.G), container(m.container) |
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290 | { |
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291 | G->dyn_node_maps.push_back(this); |
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292 | } |
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293 | |
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294 | template<typename TT> friend class NodeMap; |
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295 | |
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296 | ///\todo It can copy between different types. |
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297 | /// |
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298 | template<typename TT> NodeMap(const NodeMap<TT> &m) : |
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299 | DynMapBase<Node>(*m.G) |
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300 | { |
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301 | G->dyn_node_maps.push_back(this); |
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302 | typename std::vector<TT>::const_iterator i; |
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303 | for(typename std::vector<TT>::const_iterator i=m.container.begin(); |
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304 | i!=m.container.end(); |
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305 | i++) |
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306 | container.push_back(*i); |
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307 | } |
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308 | ~NodeMap() |
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309 | { |
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310 | if(G) { |
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311 | std::vector<DynMapBase<Node>* >::iterator i; |
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312 | for(i=G->dyn_node_maps.begin(); |
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313 | i!=G->dyn_node_maps.end() && *i!=this; ++i) ; |
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314 | //if(*i==this) G->dyn_node_maps.erase(i); //FIXME: Way too slow... |
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315 | //A better way to do that: (Is this really important?) |
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316 | if(*i==this) { |
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317 | *i=G->dyn_node_maps.back(); |
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318 | G->dyn_node_maps.pop_back(); |
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319 | } |
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320 | } |
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321 | } |
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322 | |
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323 | void add(const Node k) |
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324 | { |
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325 | if(k.n>=int(container.size())) container.resize(k.n+1); |
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326 | } |
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327 | |
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328 | void erase(const Node) { } |
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329 | |
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330 | void set(Node n, T a) { container[n.n]=a; } |
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331 | //'T& operator[](Node n)' would be wrong here |
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332 | typename std::vector<T>::reference |
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333 | operator[](Node n) { return container[n.n]; } |
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334 | //'const T& operator[](Node n)' would be wrong here |
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335 | typename std::vector<T>::const_reference |
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336 | operator[](Node n) const { return container[n.n]; } |
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337 | |
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338 | ///\warning There is no safety check at all! |
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339 | ///Using operator = between maps attached to different graph may |
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340 | ///cause serious problem. |
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341 | ///\todo Is this really so? |
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342 | ///\todo It can copy between different types. |
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343 | const NodeMap<T>& operator=(const NodeMap<T> &m) |
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344 | { |
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345 | container = m.container; |
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346 | return *this; |
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347 | } |
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348 | template<typename TT> |
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349 | const NodeMap<T>& operator=(const NodeMap<TT> &m) |
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350 | { |
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351 | copy(m.container.begin(), m.container.end(), container.begin()); |
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352 | return *this; |
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353 | } |
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354 | |
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355 | void update() {} //Useless for Dynamic Maps |
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356 | void update(T a) {} //Useless for Dynamic Maps |
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357 | }; |
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358 | |
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359 | template <typename T> class EdgeMap : public DynMapBase<Edge> |
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360 | { |
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361 | std::vector<T> container; |
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362 | |
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363 | public: |
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364 | typedef T ValueType; |
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365 | typedef Edge KeyType; |
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366 | |
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367 | EdgeMap(const SmartGraph &_G) : |
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368 | DynMapBase<Edge>(_G), container(_G.maxEdgeId()) |
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369 | { |
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370 | //FIXME: What if there are empty Id's? |
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371 | //FIXME: Can I use 'this' in a constructor? |
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372 | G->dyn_edge_maps.push_back(this); |
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373 | } |
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374 | EdgeMap(const SmartGraph &_G,const T &t) : |
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375 | DynMapBase<Edge>(_G), container(_G.maxEdgeId(),t) |
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376 | { |
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377 | G->dyn_edge_maps.push_back(this); |
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378 | } |
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379 | EdgeMap(const EdgeMap<T> &m) : |
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380 | DynMapBase<Edge>(*m.G), container(m.container) |
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381 | { |
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382 | G->dyn_node_maps.push_back(this); |
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383 | } |
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384 | |
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385 | template<typename TT> friend class EdgeMap; |
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386 | |
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387 | ///\todo It can copy between different types. |
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388 | /// |
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389 | template<typename TT> EdgeMap(const EdgeMap<TT> &m) : |
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390 | DynMapBase<Edge>(*m.G) |
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391 | { |
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392 | G->dyn_node_maps.push_back(this); |
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393 | typename std::vector<TT>::const_iterator i; |
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394 | for(typename std::vector<TT>::const_iterator i=m.container.begin(); |
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395 | i!=m.container.end(); |
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396 | i++) |
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397 | container.push_back(*i); |
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398 | } |
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399 | ~EdgeMap() |
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400 | { |
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401 | if(G) { |
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402 | std::vector<DynMapBase<Edge>* >::iterator i; |
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403 | for(i=G->dyn_edge_maps.begin(); |
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404 | i!=G->dyn_edge_maps.end() && *i!=this; ++i) ; |
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405 | //if(*i==this) G->dyn_edge_maps.erase(i); //Way too slow... |
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406 | //A better way to do that: (Is this really important?) |
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407 | if(*i==this) { |
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408 | *i=G->dyn_edge_maps.back(); |
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409 | G->dyn_edge_maps.pop_back(); |
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410 | } |
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411 | } |
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412 | } |
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413 | |
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414 | void add(const Edge k) |
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415 | { |
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416 | if(k.n>=int(container.size())) container.resize(k.n+1); |
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417 | } |
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418 | void erase(const Edge) { } |
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419 | |
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420 | void set(Edge n, T a) { container[n.n]=a; } |
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421 | //T get(Edge n) const { return container[n.n]; } |
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422 | typename std::vector<T>::reference |
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423 | operator[](Edge n) { return container[n.n]; } |
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424 | typename std::vector<T>::const_reference |
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425 | operator[](Edge n) const { return container[n.n]; } |
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426 | |
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427 | ///\warning There is no safety check at all! |
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428 | ///Using operator = between maps attached to different graph may |
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429 | ///cause serious problem. |
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430 | ///\todo Is this really so? |
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431 | ///\todo It can copy between different types. |
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432 | const EdgeMap<T>& operator=(const EdgeMap<T> &m) |
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433 | { |
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434 | container = m.container; |
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435 | return *this; |
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436 | } |
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437 | template<typename TT> |
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438 | const EdgeMap<T>& operator=(const EdgeMap<TT> &m) |
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439 | { |
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440 | copy(m.container.begin(), m.container.end(), container.begin()); |
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441 | return *this; |
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442 | } |
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443 | |
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444 | void update() {} //Useless for DynMaps |
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445 | void update(T a) {} //Useless for DynMaps |
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446 | }; |
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447 | |
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448 | }; |
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449 | |
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450 | ///Graph for bidirectional edges. |
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451 | |
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452 | ///The purpose of this graph structure is to handle graphs |
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453 | ///having bidirectional edges. Here the function \c addEdge(u,v) adds a pair |
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454 | ///of oppositely directed edges. |
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455 | ///There is a new edge map type called |
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456 | ///\ref SymSmartGraph::SymEdgeMap "SymEdgeMap" |
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457 | ///that complements this |
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458 | ///feature by |
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459 | ///storing shared values for the edge pairs. The usual |
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460 | ///\ref GraphSkeleton::EdgeMap "EdgeMap" |
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461 | ///can be used |
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462 | ///as well. |
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463 | /// |
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464 | ///The oppositely directed edge can also be obtained easily |
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465 | ///using \ref opposite. |
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466 | ///\warning It shares the similarity with \ref SmartGraph that |
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467 | ///it is not possible to delete edges or nodes from the graph. |
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468 | //\sa \ref SmartGraph. |
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469 | |
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470 | class SymSmartGraph : public SmartGraph |
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471 | { |
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472 | public: |
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473 | template<typename T> class SymEdgeMap; |
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474 | template<typename T> friend class SymEdgeMap; |
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475 | |
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476 | SymSmartGraph() : SmartGraph() { } |
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477 | SymSmartGraph(const SmartGraph &_g) : SmartGraph(_g) { } |
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478 | ///Adds a pair of oppositely directed edges to the graph. |
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479 | Edge addEdge(Node u, Node v) |
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480 | { |
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481 | Edge e = SmartGraph::addEdge(u,v); |
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482 | SmartGraph::addEdge(v,u); |
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483 | return e; |
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484 | } |
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485 | |
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486 | ///The oppositely directed edge. |
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487 | |
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488 | ///Returns the oppositely directed |
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489 | ///pair of the edge \c e. |
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490 | Edge opposite(Edge e) const |
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491 | { |
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492 | Edge f; |
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493 | f.idref() = e.idref() - 2*(e.idref()%2) + 1; |
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494 | return f; |
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495 | } |
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496 | |
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497 | ///Common data storage for the edge pairs. |
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498 | |
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499 | ///This map makes it possible to store data shared by the oppositely |
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500 | ///directed pairs of edges. |
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501 | template <typename T> class SymEdgeMap : public DynMapBase<Edge> |
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502 | { |
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503 | std::vector<T> container; |
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504 | |
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505 | public: |
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506 | typedef T ValueType; |
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507 | typedef Edge KeyType; |
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508 | |
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509 | SymEdgeMap(const SymSmartGraph &_G) : |
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510 | DynMapBase<Edge>(_G), container(_G.maxEdgeId()/2) |
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511 | { |
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512 | static_cast<const SymSmartGraph*>(G)->dyn_edge_maps.push_back(this); |
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513 | } |
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514 | SymEdgeMap(const SymSmartGraph &_G,const T &t) : |
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515 | DynMapBase<Edge>(_G), container(_G.maxEdgeId()/2,t) |
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516 | { |
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517 | G->dyn_edge_maps.push_back(this); |
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518 | } |
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519 | |
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520 | SymEdgeMap(const SymEdgeMap<T> &m) : |
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521 | DynMapBase<SymEdge>(*m.G), container(m.container) |
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522 | { |
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523 | G->dyn_node_maps.push_back(this); |
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524 | } |
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525 | |
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526 | // template<typename TT> friend class SymEdgeMap; |
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527 | |
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528 | ///\todo It can copy between different types. |
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529 | /// |
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530 | |
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531 | template<typename TT> SymEdgeMap(const SymEdgeMap<TT> &m) : |
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532 | DynMapBase<SymEdge>(*m.G) |
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533 | { |
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534 | G->dyn_node_maps.push_back(this); |
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535 | typename std::vector<TT>::const_iterator i; |
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536 | for(typename std::vector<TT>::const_iterator i=m.container.begin(); |
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537 | i!=m.container.end(); |
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538 | i++) |
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539 | container.push_back(*i); |
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540 | } |
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541 | |
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542 | ~SymEdgeMap() |
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543 | { |
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544 | if(G) { |
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545 | std::vector<DynMapBase<Edge>* >::iterator i; |
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546 | for(i=static_cast<const SymSmartGraph*>(G)->dyn_edge_maps.begin(); |
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547 | i!=static_cast<const SymSmartGraph*>(G)->dyn_edge_maps.end() |
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548 | && *i!=this; ++i) ; |
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549 | //if(*i==this) G->dyn_edge_maps.erase(i); //Way too slow... |
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550 | //A better way to do that: (Is this really important?) |
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551 | if(*i==this) { |
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552 | *i=static_cast<const SymSmartGraph*>(G)->dyn_edge_maps.back(); |
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553 | static_cast<const SymSmartGraph*>(G)->dyn_edge_maps.pop_back(); |
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554 | } |
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555 | } |
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556 | } |
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557 | |
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558 | void add(const Edge k) |
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559 | { |
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560 | if(!k.idref()%2&&k.idref()/2>=int(container.size())) |
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561 | container.resize(k.idref()/2+1); |
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562 | } |
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563 | void erase(const Edge k) { } |
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564 | |
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565 | void set(Edge n, T a) { container[n.idref()/2]=a; } |
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566 | //T get(Edge n) const { return container[n.idref()/2]; } |
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567 | typename std::vector<T>::reference |
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568 | operator[](Edge n) { return container[n.idref()/2]; } |
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569 | typename std::vector<T>::const_reference |
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570 | operator[](Edge n) const { return container[n.idref()/2]; } |
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571 | |
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572 | ///\warning There is no safety check at all! |
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573 | ///Using operator = between maps attached to different graph may |
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574 | ///cause serious problem. |
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575 | ///\todo Is this really so? |
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576 | ///\todo It can copy between different types. |
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577 | const SymEdgeMap<T>& operator=(const SymEdgeMap<T> &m) |
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578 | { |
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579 | container = m.container; |
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580 | return *this; |
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581 | } |
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582 | template<typename TT> |
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583 | const SymEdgeMap<T>& operator=(const SymEdgeMap<TT> &m) |
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584 | { |
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585 | copy(m.container.begin(), m.container.end(), container.begin()); |
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586 | return *this; |
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587 | } |
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588 | |
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589 | void update() {} //Useless for DynMaps |
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590 | void update(T a) {} //Useless for DynMaps |
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591 | |
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592 | }; |
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593 | |
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594 | }; |
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595 | |
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596 | /// @} |
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597 | |
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598 | } //namespace hugo |
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599 | |
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600 | |
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601 | |
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602 | |
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603 | #endif //SMART_GRAPH_H |
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