1 | // -*- c++ -*- |
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2 | |
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3 | #ifndef HUGO_FULL_GRAPH_H |
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4 | #define HUGO_FULL_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 FullGraph and SymFullGraph classes. |
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9 | |
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10 | #include <vector> |
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11 | #include <climits> |
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12 | |
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13 | #include <hugo/invalid.h> |
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14 | |
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15 | #include <hugo/map_registry.h> |
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16 | #include <hugo/default_map_factory.h> |
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17 | |
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18 | namespace hugo { |
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19 | |
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20 | /// \addtogroup graphs |
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21 | /// @{ |
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22 | |
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23 | ///A full graph class. |
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24 | |
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25 | ///This is a simple and fast directed full graph implementation. |
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26 | ///It is completely static, so you can neither add nor delete either |
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27 | ///edges or nodes. |
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28 | ///Otherwise it conforms to the graph interface documented under |
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29 | ///the description of \ref GraphSkeleton. |
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30 | ///\sa \ref GraphSkeleton. |
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31 | ///\todo What about loops? |
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32 | ///\todo Don't we need SymEdgeMap? |
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33 | /// |
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34 | ///\author Alpar Juttner |
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35 | class FullGraph { |
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36 | int NodeNum; |
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37 | int EdgeNum; |
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38 | public: |
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39 | |
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40 | typedef FullGraph Graph; |
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41 | |
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42 | class Node; |
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43 | class Edge; |
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44 | |
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45 | class NodeIt; |
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46 | class EdgeIt; |
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47 | class OutEdgeIt; |
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48 | class InEdgeIt; |
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49 | |
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50 | CREATE_MAP_REGISTRIES; |
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51 | CREATE_MAPS(DefaultMapFactory); |
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52 | |
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53 | public: |
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54 | |
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55 | ///Creates a full graph with \c n nodes. |
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56 | FullGraph(int n) : NodeNum(n), EdgeNum(NodeNum*NodeNum) { } |
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57 | /// |
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58 | FullGraph(const FullGraph &_g) |
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59 | : NodeNum(_g.nodeNum()), EdgeNum(NodeNum*NodeNum) { } |
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60 | |
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61 | ///Number of nodes. |
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62 | int nodeNum() const { return NodeNum; } |
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63 | ///Number of edges. |
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64 | int edgeNum() const { return EdgeNum; } |
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65 | |
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66 | /// Maximum node ID. |
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67 | |
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68 | /// Maximum node ID. |
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69 | ///\sa id(Node) |
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70 | int maxNodeId() const { return NodeNum-1; } |
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71 | /// Maximum edge ID. |
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72 | |
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73 | /// Maximum edge ID. |
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74 | ///\sa id(Edge) |
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75 | int maxEdgeId() const { return EdgeNum-1; } |
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76 | |
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77 | Node tail(Edge e) const { return e.n%NodeNum; } |
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78 | Node head(Edge e) const { return e.n/NodeNum; } |
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79 | |
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80 | NodeIt& first(NodeIt& v) const { |
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81 | v=NodeIt(*this); return v; } |
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82 | EdgeIt& first(EdgeIt& e) const { |
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83 | e=EdgeIt(*this); return e; } |
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84 | OutEdgeIt& first(OutEdgeIt& e, const Node v) const { |
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85 | e=OutEdgeIt(*this,v); return e; } |
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86 | InEdgeIt& first(InEdgeIt& e, const Node v) const { |
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87 | e=InEdgeIt(*this,v); return e; } |
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88 | |
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89 | /// Node ID. |
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90 | |
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91 | /// The ID of a valid Node is a nonnegative integer not greater than |
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92 | /// \ref maxNodeId(). The range of the ID's is not surely continuous |
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93 | /// and the greatest node ID can be actually less then \ref maxNodeId(). |
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94 | /// |
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95 | /// The ID of the \ref INVALID node is -1. |
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96 | ///\return The ID of the node \c v. |
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97 | static int id(Node v) { return v.n; } |
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98 | /// Edge ID. |
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99 | |
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100 | /// The ID of a valid Edge is a nonnegative integer not greater than |
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101 | /// \ref maxEdgeId(). The range of the ID's is not surely continuous |
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102 | /// and the greatest edge ID can be actually less then \ref maxEdgeId(). |
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103 | /// |
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104 | /// The ID of the \ref INVALID edge is -1. |
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105 | ///\return The ID of the edge \c e. |
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106 | static int id(Edge e) { return e.n; } |
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107 | |
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108 | /// Finds an edge between two nodes. |
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109 | |
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110 | /// Finds an edge from node \c u to node \c v. |
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111 | /// |
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112 | /// If \c prev is \ref INVALID (this is the default value), then |
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113 | /// It finds the first edge from \c u to \c v. Otherwise it looks for |
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114 | /// the next edge from \c u to \c v after \c prev. |
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115 | /// \return The found edge or INVALID if there is no such an edge. |
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116 | Edge findEdge(Node u,Node v, Edge prev = INVALID) |
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117 | { |
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118 | return prev.n == -1 ? Edge(*this, u.n, v.n) : INVALID; |
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119 | } |
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120 | |
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121 | |
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122 | class Node { |
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123 | friend class FullGraph; |
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124 | template <typename T> friend class NodeMap; |
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125 | |
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126 | friend class Edge; |
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127 | friend class OutEdgeIt; |
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128 | friend class InEdgeIt; |
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129 | friend class SymEdge; |
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130 | |
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131 | protected: |
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132 | int n; |
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133 | friend int FullGraph::id(Node v); |
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134 | Node(int nn) {n=nn;} |
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135 | public: |
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136 | Node() {} |
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137 | Node (Invalid) { n=-1; } |
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138 | bool operator==(const Node i) const {return n==i.n;} |
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139 | bool operator!=(const Node i) const {return n!=i.n;} |
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140 | bool operator<(const Node i) const {return n<i.n;} |
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141 | }; |
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142 | |
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143 | class NodeIt : public Node { |
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144 | const FullGraph *G; |
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145 | friend class FullGraph; |
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146 | public: |
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147 | NodeIt() : Node() { } |
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148 | NodeIt(const FullGraph& _G,Node n) : Node(n), G(&_G) { } |
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149 | NodeIt(Invalid i) : Node(i) { } |
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150 | NodeIt(const FullGraph& _G) : Node(_G.NodeNum?0:-1), G(&_G) { } |
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151 | ///\todo Undocumented conversion Node -\> NodeIt. |
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152 | NodeIt& operator++() { n=(n+2)%(G->NodeNum+1)-1;return *this; } |
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153 | }; |
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154 | |
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155 | class Edge { |
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156 | friend class FullGraph; |
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157 | template <typename T> friend class EdgeMap; |
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158 | |
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159 | friend class Node; |
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160 | friend class NodeIt; |
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161 | protected: |
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162 | int n; //NodeNum*head+tail; |
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163 | friend int FullGraph::id(Edge e); |
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164 | |
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165 | Edge(int nn) : n(nn) {} |
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166 | Edge(const FullGraph &G, int tail, int head) : n(G.NodeNum*head+tail) {} |
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167 | public: |
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168 | Edge() { } |
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169 | Edge (Invalid) { n=-1; } |
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170 | bool operator==(const Edge i) const {return n==i.n;} |
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171 | bool operator!=(const Edge i) const {return n!=i.n;} |
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172 | bool operator<(const Edge i) const {return n<i.n;} |
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173 | ///\bug This is a workaround until somebody tells me how to |
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174 | ///make class \c SymFullGraph::SymEdgeMap friend of Edge |
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175 | int &idref() {return n;} |
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176 | const int &idref() const {return n;} |
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177 | }; |
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178 | |
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179 | class EdgeIt : public Edge { |
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180 | friend class FullGraph; |
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181 | public: |
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182 | EdgeIt(const FullGraph& _G) : Edge(_G.EdgeNum-1) { } |
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183 | EdgeIt(const FullGraph&, Edge e) : Edge(e) { } |
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184 | EdgeIt (Invalid i) : Edge(i) { } |
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185 | EdgeIt() : Edge() { } |
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186 | EdgeIt& operator++() { --n; return *this; } |
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187 | |
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188 | ///\bug This is a workaround until somebody tells me how to |
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189 | ///make class \c SymFullGraph::SymEdgeMap friend of Edge |
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190 | int &idref() {return n;} |
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191 | }; |
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192 | |
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193 | class OutEdgeIt : public Edge { |
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194 | const FullGraph *G; |
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195 | friend class FullGraph; |
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196 | public: |
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197 | OutEdgeIt() : Edge() { } |
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198 | OutEdgeIt(const FullGraph& _G, Edge e) : Edge(e), G(&_G) { } |
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199 | OutEdgeIt (Invalid i) : Edge(i) { } |
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200 | |
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201 | OutEdgeIt(const FullGraph& _G,const Node v) : Edge(v.n), G(&_G) {} |
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202 | |
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203 | OutEdgeIt& operator++() |
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204 | { n+=G->NodeNum; if(n>=G->EdgeNum) n=-1; return *this; } |
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205 | |
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206 | }; |
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207 | |
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208 | class InEdgeIt : public Edge { |
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209 | const FullGraph *G; |
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210 | friend class FullGraph; |
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211 | public: |
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212 | InEdgeIt() : Edge() { } |
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213 | InEdgeIt(const FullGraph& _G, Edge e) : Edge(e), G(&_G) { } |
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214 | InEdgeIt (Invalid i) : Edge(i) { } |
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215 | InEdgeIt(const FullGraph& _G,Node v) : Edge(v.n*_G.NodeNum), G(&_G) {} |
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216 | InEdgeIt& operator++() |
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217 | { if(!((++n)%G->NodeNum)) n=-1; return *this; } |
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218 | }; |
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219 | |
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220 | }; |
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221 | |
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222 | /// @} |
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223 | |
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224 | } //namespace hugo |
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225 | |
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226 | |
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227 | |
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228 | |
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229 | #endif //HUGO_FULL_GRAPH_H |
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