1 | /* -*- C++ -*- |
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2 | * src/lemon/list_graph.h - Part of LEMON, a generic C++ optimization library |
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3 | * |
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4 | * Copyright (C) 2004 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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5 | * (Egervary Combinatorial Optimization Research Group, 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_LIST_GRAPH_H |
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18 | #define LEMON_LIST_GRAPH_H |
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19 | |
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20 | ///\ingroup graphs |
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21 | ///\file |
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22 | ///\brief ListGraph, SymListGraph, NodeSet and EdgeSet classes. |
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23 | |
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24 | #include <vector> |
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25 | #include <climits> |
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26 | |
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27 | #include <lemon/invalid.h> |
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28 | |
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29 | #include <lemon/map_registry.h> |
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30 | #include <lemon/array_map.h> |
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31 | |
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32 | #include <lemon/sym_map.h> |
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33 | |
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34 | #include <lemon/map_defines.h> |
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35 | |
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36 | |
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37 | namespace lemon { |
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38 | |
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39 | /// \addtogroup graphs |
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40 | /// @{ |
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41 | |
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42 | ///A list graph class. |
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43 | |
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44 | ///This is a simple and fast erasable graph implementation. |
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45 | /// |
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46 | ///It conforms to the |
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47 | ///\ref skeleton::ErasableGraph "ErasableGraph" concept. |
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48 | ///\sa skeleton::ErasableGraph. |
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49 | class ListGraph { |
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50 | |
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51 | //Nodes are double linked. |
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52 | //The free nodes are only single linked using the "next" field. |
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53 | struct NodeT |
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54 | { |
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55 | int first_in,first_out; |
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56 | int prev, next; |
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57 | }; |
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58 | //Edges are double linked. |
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59 | //The free edges are only single linked using the "next_in" field. |
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60 | struct EdgeT |
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61 | { |
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62 | int head, tail; |
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63 | int prev_in, prev_out; |
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64 | int next_in, next_out; |
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65 | }; |
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66 | |
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67 | std::vector<NodeT> nodes; |
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68 | //The first node |
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69 | int first_node; |
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70 | //The first free node |
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71 | int first_free_node; |
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72 | std::vector<EdgeT> edges; |
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73 | //The first free edge |
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74 | int first_free_edge; |
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75 | |
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76 | public: |
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77 | |
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78 | typedef ListGraph Graph; |
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79 | |
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80 | class Node; |
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81 | class Edge; |
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82 | |
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83 | |
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84 | public: |
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85 | |
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86 | class NodeIt; |
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87 | class EdgeIt; |
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88 | class OutEdgeIt; |
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89 | class InEdgeIt; |
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90 | |
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91 | // Create map registries. |
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92 | CREATE_MAP_REGISTRIES; |
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93 | // Create node and edge maps. |
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94 | CREATE_MAPS(ArrayMap); |
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95 | |
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96 | public: |
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97 | |
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98 | ListGraph() |
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99 | : nodes(), first_node(-1), |
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100 | first_free_node(-1), edges(), first_free_edge(-1) {} |
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101 | |
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102 | ListGraph(const ListGraph &_g) |
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103 | : nodes(_g.nodes), first_node(_g.first_node), |
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104 | first_free_node(_g.first_free_node), edges(_g.edges), |
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105 | first_free_edge(_g.first_free_edge) {} |
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106 | |
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107 | ///Number of nodes. |
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108 | int nodeNum() const { return nodes.size(); } |
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109 | ///Number of edges. |
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110 | int edgeNum() const { return edges.size(); } |
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111 | |
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112 | ///Set the expected maximum number of edges. |
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113 | |
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114 | ///With this function, it is possible to set the expected number of edges. |
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115 | ///The use of this fasten the building of the graph and makes |
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116 | ///it possible to avoid the superfluous memory allocation. |
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117 | void reserveEdge(int n) { edges.reserve(n); }; |
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118 | |
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119 | /// Maximum node ID. |
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120 | |
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121 | /// Maximum node ID. |
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122 | ///\sa id(Node) |
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123 | int maxNodeId() const { return nodes.size()-1; } |
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124 | /// Maximum edge ID. |
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125 | |
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126 | /// Maximum edge ID. |
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127 | ///\sa id(Edge) |
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128 | int maxEdgeId() const { return edges.size()-1; } |
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129 | |
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130 | Node tail(Edge e) const { return edges[e.n].tail; } |
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131 | Node head(Edge e) const { return edges[e.n].head; } |
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132 | |
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133 | NodeIt& first(NodeIt& v) const { |
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134 | v=NodeIt(*this); return v; } |
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135 | EdgeIt& first(EdgeIt& e) const { |
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136 | e=EdgeIt(*this); return e; } |
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137 | OutEdgeIt& first(OutEdgeIt& e, const Node v) const { |
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138 | e=OutEdgeIt(*this,v); return e; } |
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139 | InEdgeIt& first(InEdgeIt& e, const Node v) const { |
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140 | e=InEdgeIt(*this,v); return e; } |
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141 | |
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142 | /// Node ID. |
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143 | |
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144 | /// The ID of a valid Node is a nonnegative integer not greater than |
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145 | /// \ref maxNodeId(). The range of the ID's is not surely continuous |
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146 | /// and the greatest node ID can be actually less then \ref maxNodeId(). |
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147 | /// |
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148 | /// The ID of the \ref INVALID node is -1. |
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149 | ///\return The ID of the node \c v. |
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150 | static int id(Node v) { return v.n; } |
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151 | /// Edge ID. |
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152 | |
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153 | /// The ID of a valid Edge is a nonnegative integer not greater than |
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154 | /// \ref maxEdgeId(). The range of the ID's is not surely continuous |
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155 | /// and the greatest edge ID can be actually less then \ref maxEdgeId(). |
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156 | /// |
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157 | /// The ID of the \ref INVALID edge is -1. |
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158 | ///\return The ID of the edge \c e. |
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159 | static int id(Edge e) { return e.n; } |
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160 | |
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161 | /// Adds a new node to the graph. |
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162 | |
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163 | /// \warning It adds the new node to the front of the list. |
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164 | /// (i.e. the lastly added node becomes the first.) |
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165 | Node addNode() { |
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166 | int n; |
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167 | |
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168 | if(first_free_node==-1) |
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169 | { |
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170 | n = nodes.size(); |
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171 | nodes.push_back(NodeT()); |
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172 | } |
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173 | else { |
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174 | n = first_free_node; |
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175 | first_free_node = nodes[n].next; |
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176 | } |
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177 | |
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178 | nodes[n].next = first_node; |
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179 | if(first_node != -1) nodes[first_node].prev = n; |
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180 | first_node = n; |
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181 | nodes[n].prev = -1; |
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182 | |
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183 | nodes[n].first_in = nodes[n].first_out = -1; |
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184 | |
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185 | Node nn; nn.n=n; |
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186 | |
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187 | //Update dynamic maps |
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188 | node_maps.add(nn); |
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189 | |
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190 | return nn; |
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191 | } |
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192 | |
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193 | Edge addEdge(Node u, Node v) { |
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194 | int n; |
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195 | |
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196 | if(first_free_edge==-1) |
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197 | { |
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198 | n = edges.size(); |
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199 | edges.push_back(EdgeT()); |
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200 | } |
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201 | else { |
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202 | n = first_free_edge; |
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203 | first_free_edge = edges[n].next_in; |
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204 | } |
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205 | |
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206 | edges[n].tail = u.n; edges[n].head = v.n; |
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207 | |
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208 | edges[n].next_out = nodes[u.n].first_out; |
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209 | if(nodes[u.n].first_out != -1) edges[nodes[u.n].first_out].prev_out = n; |
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210 | edges[n].next_in = nodes[v.n].first_in; |
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211 | if(nodes[v.n].first_in != -1) edges[nodes[v.n].first_in].prev_in = n; |
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212 | edges[n].prev_in = edges[n].prev_out = -1; |
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213 | |
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214 | nodes[u.n].first_out = nodes[v.n].first_in = n; |
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215 | |
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216 | Edge e; e.n=n; |
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217 | |
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218 | //Update dynamic maps |
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219 | edge_maps.add(e); |
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220 | |
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221 | return e; |
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222 | } |
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223 | |
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224 | /// Finds an edge between two nodes. |
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225 | |
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226 | /// Finds an edge from node \c u to node \c v. |
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227 | /// |
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228 | /// If \c prev is \ref INVALID (this is the default value), then |
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229 | /// It finds the first edge from \c u to \c v. Otherwise it looks for |
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230 | /// the next edge from \c u to \c v after \c prev. |
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231 | /// \return The found edge or INVALID if there is no such an edge. |
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232 | Edge findEdge(Node u,Node v, Edge prev = INVALID) |
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233 | { |
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234 | int e = (prev.n==-1)? nodes[u.n].first_out : edges[prev.n].next_out; |
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235 | while(e!=-1 && edges[e].tail!=v.n) e = edges[e].next_out; |
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236 | prev.n=e; |
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237 | return prev; |
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238 | } |
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239 | |
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240 | private: |
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241 | void eraseEdge(int n) { |
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242 | |
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243 | if(edges[n].next_in!=-1) |
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244 | edges[edges[n].next_in].prev_in = edges[n].prev_in; |
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245 | if(edges[n].prev_in!=-1) |
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246 | edges[edges[n].prev_in].next_in = edges[n].next_in; |
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247 | else nodes[edges[n].head].first_in = edges[n].next_in; |
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248 | |
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249 | if(edges[n].next_out!=-1) |
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250 | edges[edges[n].next_out].prev_out = edges[n].prev_out; |
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251 | if(edges[n].prev_out!=-1) |
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252 | edges[edges[n].prev_out].next_out = edges[n].next_out; |
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253 | else nodes[edges[n].tail].first_out = edges[n].next_out; |
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254 | |
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255 | edges[n].next_in = first_free_edge; |
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256 | first_free_edge = n; |
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257 | |
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258 | //Update dynamic maps |
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259 | Edge e; e.n=n; |
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260 | edge_maps.erase(e); |
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261 | |
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262 | } |
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263 | |
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264 | public: |
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265 | |
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266 | void erase(Node nn) { |
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267 | int n=nn.n; |
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268 | |
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269 | int m; |
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270 | while((m=nodes[n].first_in)!=-1) eraseEdge(m); |
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271 | while((m=nodes[n].first_out)!=-1) eraseEdge(m); |
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272 | |
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273 | if(nodes[n].next != -1) nodes[nodes[n].next].prev = nodes[n].prev; |
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274 | if(nodes[n].prev != -1) nodes[nodes[n].prev].next = nodes[n].next; |
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275 | else first_node = nodes[n].next; |
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276 | |
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277 | nodes[n].next = first_free_node; |
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278 | first_free_node = n; |
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279 | |
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280 | //Update dynamic maps |
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281 | node_maps.erase(nn); |
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282 | |
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283 | } |
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284 | |
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285 | void erase(Edge e) { eraseEdge(e.n); } |
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286 | |
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287 | void clear() { |
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288 | edge_maps.clear(); |
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289 | edges.clear(); |
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290 | node_maps.clear(); |
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291 | nodes.clear(); |
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292 | first_node=first_free_node=first_free_edge=-1; |
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293 | } |
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294 | |
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295 | class Node { |
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296 | friend class ListGraph; |
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297 | template <typename T> friend class NodeMap; |
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298 | |
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299 | friend class Edge; |
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300 | friend class OutEdgeIt; |
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301 | friend class InEdgeIt; |
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302 | friend class SymEdge; |
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303 | |
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304 | protected: |
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305 | int n; |
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306 | friend int ListGraph::id(Node v); |
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307 | Node(int nn) {n=nn;} |
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308 | public: |
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309 | Node() {} |
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310 | Node (Invalid) { n=-1; } |
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311 | bool operator==(const Node i) const {return n==i.n;} |
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312 | bool operator!=(const Node i) const {return n!=i.n;} |
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313 | bool operator<(const Node i) const {return n<i.n;} |
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314 | // ///Validity check |
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315 | // operator bool() { return n!=-1; } |
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316 | }; |
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317 | |
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318 | class NodeIt : public Node { |
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319 | const ListGraph *G; |
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320 | friend class ListGraph; |
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321 | public: |
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322 | NodeIt() : Node() { } |
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323 | NodeIt(Invalid i) : Node(i) { } |
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324 | NodeIt(const ListGraph& _G) : Node(_G.first_node), G(&_G) { } |
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325 | NodeIt(const ListGraph& _G,Node n) : Node(n), G(&_G) { } |
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326 | NodeIt &operator++() { |
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327 | n=G->nodes[n].next; |
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328 | return *this; |
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329 | } |
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330 | // ///Validity check |
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331 | // operator bool() { return Node::operator bool(); } |
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332 | }; |
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333 | |
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334 | class Edge { |
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335 | friend class ListGraph; |
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336 | template <typename T> friend class EdgeMap; |
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337 | |
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338 | friend class SymListGraph; |
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339 | |
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340 | friend class Node; |
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341 | friend class NodeIt; |
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342 | protected: |
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343 | int n; |
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344 | friend int ListGraph::id(Edge e); |
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345 | |
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346 | public: |
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347 | /// An Edge with id \c n. |
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348 | |
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349 | /// \bug It should be |
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350 | /// obtained by a member function of the Graph. |
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351 | Edge(int nn) {n=nn;} |
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352 | |
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353 | Edge() { } |
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354 | Edge (Invalid) { n=-1; } |
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355 | bool operator==(const Edge i) const {return n==i.n;} |
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356 | bool operator!=(const Edge i) const {return n!=i.n;} |
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357 | bool operator<(const Edge i) const {return n<i.n;} |
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358 | // ///Validity check |
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359 | // operator bool() { return n!=-1; } |
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360 | }; |
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361 | |
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362 | class EdgeIt : public Edge { |
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363 | const ListGraph *G; |
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364 | friend class ListGraph; |
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365 | public: |
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366 | EdgeIt(const ListGraph& _G) : Edge(), G(&_G) { |
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367 | int m; |
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368 | for(m=_G.first_node; |
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369 | m!=-1 && _G.nodes[m].first_in == -1; m = _G.nodes[m].next); |
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370 | n = (m==-1)?-1:_G.nodes[m].first_in; |
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371 | } |
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372 | EdgeIt (Invalid i) : Edge(i) { } |
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373 | EdgeIt(const ListGraph& _G, Edge e) : Edge(e), G(&_G) { } |
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374 | EdgeIt() : Edge() { } |
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375 | EdgeIt &operator++() { |
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376 | if(G->edges[n].next_in!=-1) n=G->edges[n].next_in; |
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377 | else { |
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378 | int nn; |
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379 | for(nn=G->nodes[G->edges[n].head].next; |
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380 | nn!=-1 && G->nodes[nn].first_in == -1; |
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381 | nn = G->nodes[nn].next) ; |
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382 | n = (nn==-1)?-1:G->nodes[nn].first_in; |
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383 | } |
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384 | return *this; |
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385 | } |
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386 | // ///Validity check |
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387 | // operator bool() { return Edge::operator bool(); } |
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388 | }; |
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389 | |
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390 | class OutEdgeIt : public Edge { |
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391 | const ListGraph *G; |
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392 | friend class ListGraph; |
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393 | public: |
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394 | OutEdgeIt() : Edge() { } |
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395 | OutEdgeIt(const ListGraph& _G, Edge e) : Edge(e), G(&_G) { } |
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396 | OutEdgeIt (Invalid i) : Edge(i) { } |
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397 | |
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398 | OutEdgeIt(const ListGraph& _G,const Node v) |
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399 | : Edge(_G.nodes[v.n].first_out), G(&_G) {} |
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400 | OutEdgeIt &operator++() { n=G->edges[n].next_out; return *this; } |
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401 | // ///Validity check |
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402 | // operator bool() { return Edge::operator bool(); } |
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403 | }; |
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404 | |
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405 | class InEdgeIt : public Edge { |
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406 | const ListGraph *G; |
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407 | friend class ListGraph; |
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408 | public: |
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409 | InEdgeIt() : Edge() { } |
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410 | InEdgeIt(const ListGraph& _G, Edge e) : Edge(e), G(&_G) { } |
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411 | InEdgeIt (Invalid i) : Edge(i) { } |
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412 | InEdgeIt(const ListGraph& _G,Node v) |
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413 | : Edge(_G.nodes[v.n].first_in), G(&_G) { } |
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414 | InEdgeIt &operator++() { n=G->edges[n].next_in; return *this; } |
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415 | // ///Validity check |
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416 | // operator bool() { return Edge::operator bool(); } |
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417 | }; |
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418 | }; |
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419 | |
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420 | ///Graph for bidirectional edges. |
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421 | |
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422 | ///The purpose of this graph structure is to handle graphs |
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423 | ///having bidirectional edges. Here the function \c addEdge(u,v) adds a pair |
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424 | ///of oppositely directed edges. |
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425 | ///There is a new edge map type called |
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426 | ///\ref lemon::SymListGraph::SymEdgeMap "SymEdgeMap" |
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427 | ///that complements this |
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428 | ///feature by |
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429 | ///storing shared values for the edge pairs. The usual |
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430 | ///\ref lemon::skeleton::StaticGraph::EdgeMap "EdgeMap" |
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431 | ///can be used |
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432 | ///as well. |
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433 | /// |
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434 | ///The oppositely directed edge can also be obtained easily |
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435 | ///using \ref lemon::SymListGraph::opposite() "opposite()" member function. |
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436 | /// |
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437 | ///Here erase(Edge) deletes a pair of edges. |
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438 | /// |
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439 | ///\todo this date structure need some reconsiderations. Maybe it |
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440 | ///should be implemented independently from ListGraph. |
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441 | |
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442 | class SymListGraph : public ListGraph |
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443 | { |
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444 | public: |
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445 | |
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446 | typedef SymListGraph Graph; |
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447 | |
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448 | // Create symmetric map registry. |
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449 | CREATE_SYM_EDGE_MAP_REGISTRY; |
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450 | // Create symmetric edge map. |
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451 | CREATE_SYM_EDGE_MAP(ArrayMap); |
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452 | |
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453 | SymListGraph() : ListGraph() { } |
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454 | SymListGraph(const ListGraph &_g) : ListGraph(_g) { } |
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455 | ///Adds a pair of oppositely directed edges to the graph. |
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456 | Edge addEdge(Node u, Node v) |
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457 | { |
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458 | Edge e = ListGraph::addEdge(u,v); |
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459 | Edge f = ListGraph::addEdge(v,u); |
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460 | sym_edge_maps.add(e); |
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461 | sym_edge_maps.add(f); |
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462 | |
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463 | return e; |
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464 | } |
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465 | |
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466 | void erase(Node n) { ListGraph::erase(n);} |
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467 | ///The oppositely directed edge. |
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468 | |
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469 | ///Returns the oppositely directed |
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470 | ///pair of the edge \c e. |
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471 | static Edge opposite(Edge e) |
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472 | { |
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473 | Edge f; |
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474 | f.n = e.n - 2*(e.n%2) + 1; |
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475 | return f; |
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476 | } |
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477 | |
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478 | ///Removes a pair of oppositely directed edges to the graph. |
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479 | void erase(Edge e) { |
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480 | Edge f = opposite(e); |
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481 | sym_edge_maps.erase(e); |
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482 | sym_edge_maps.erase(f); |
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483 | ListGraph::erase(f); |
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484 | ListGraph::erase(e); |
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485 | } |
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486 | }; |
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487 | |
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488 | |
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489 | ///A graph class containing only nodes. |
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490 | |
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491 | ///This class implements a graph structure without edges. |
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492 | ///The most useful application of this class is to be the node set of an |
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493 | ///\ref EdgeSet class. |
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494 | /// |
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495 | ///It conforms to |
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496 | ///the \ref skeleton::ExtendableGraph "ExtendableGraph" concept |
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497 | ///with the exception that you cannot |
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498 | ///add (or delete) edges. The usual edge iterators are exists, but they are |
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499 | ///always \ref INVALID. |
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500 | ///\sa skeleton::ExtendableGraph |
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501 | ///\sa EdgeSet |
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502 | class NodeSet { |
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503 | |
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504 | //Nodes are double linked. |
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505 | //The free nodes are only single linked using the "next" field. |
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506 | struct NodeT |
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507 | { |
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508 | int first_in,first_out; |
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509 | int prev, next; |
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510 | // NodeT() {} |
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511 | }; |
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512 | |
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513 | std::vector<NodeT> nodes; |
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514 | //The first node |
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515 | int first_node; |
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516 | //The first free node |
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517 | int first_free_node; |
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518 | |
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519 | public: |
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520 | |
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521 | typedef NodeSet Graph; |
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522 | |
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523 | class Node; |
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524 | class Edge; |
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525 | |
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526 | public: |
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527 | |
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528 | class NodeIt; |
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529 | class EdgeIt; |
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530 | class OutEdgeIt; |
---|
531 | class InEdgeIt; |
---|
532 | |
---|
533 | // Create node map registry. |
---|
534 | CREATE_NODE_MAP_REGISTRY; |
---|
535 | // Create node maps. |
---|
536 | CREATE_NODE_MAP(ArrayMap); |
---|
537 | |
---|
538 | /// Creating empty map structure for edges. |
---|
539 | template <typename Value> |
---|
540 | class EdgeMap { |
---|
541 | public: |
---|
542 | EdgeMap(const Graph&) {} |
---|
543 | EdgeMap(const Graph&, const Value&) {} |
---|
544 | |
---|
545 | EdgeMap(const EdgeMap&) {} |
---|
546 | template <typename CMap> EdgeMap(const CMap&) {} |
---|
547 | |
---|
548 | EdgeMap& operator=(const EdgeMap&) {} |
---|
549 | template <typename CMap> EdgeMap& operator=(const CMap&) {} |
---|
550 | |
---|
551 | class ConstIterator { |
---|
552 | public: |
---|
553 | bool operator==(const ConstIterator&) {return true;} |
---|
554 | bool operator!=(const ConstIterator&) {return false;} |
---|
555 | }; |
---|
556 | |
---|
557 | typedef ConstIterator Iterator; |
---|
558 | |
---|
559 | Iterator begin() { return Iterator();} |
---|
560 | Iterator end() { return Iterator();} |
---|
561 | |
---|
562 | ConstIterator begin() const { return ConstIterator();} |
---|
563 | ConstIterator end() const { return ConstIterator();} |
---|
564 | |
---|
565 | }; |
---|
566 | |
---|
567 | public: |
---|
568 | |
---|
569 | ///Default constructor |
---|
570 | NodeSet() |
---|
571 | : nodes(), first_node(-1), first_free_node(-1) {} |
---|
572 | ///Copy constructor |
---|
573 | NodeSet(const NodeSet &_g) |
---|
574 | : nodes(_g.nodes), first_node(_g.first_node), |
---|
575 | first_free_node(_g.first_free_node) {} |
---|
576 | |
---|
577 | ///Number of nodes. |
---|
578 | int nodeNum() const { return nodes.size(); } |
---|
579 | ///Number of edges. |
---|
580 | int edgeNum() const { return 0; } |
---|
581 | |
---|
582 | /// Maximum node ID. |
---|
583 | |
---|
584 | /// Maximum node ID. |
---|
585 | ///\sa id(Node) |
---|
586 | int maxNodeId() const { return nodes.size()-1; } |
---|
587 | /// Maximum edge ID. |
---|
588 | |
---|
589 | /// Maximum edge ID. |
---|
590 | ///\sa id(Edge) |
---|
591 | int maxEdgeId() const { return 0; } |
---|
592 | |
---|
593 | Node tail(Edge e) const { return INVALID; } |
---|
594 | Node head(Edge e) const { return INVALID; } |
---|
595 | |
---|
596 | NodeIt& first(NodeIt& v) const { |
---|
597 | v=NodeIt(*this); return v; } |
---|
598 | EdgeIt& first(EdgeIt& e) const { |
---|
599 | e=EdgeIt(*this); return e; } |
---|
600 | OutEdgeIt& first(OutEdgeIt& e, const Node v) const { |
---|
601 | e=OutEdgeIt(*this,v); return e; } |
---|
602 | InEdgeIt& first(InEdgeIt& e, const Node v) const { |
---|
603 | e=InEdgeIt(*this,v); return e; } |
---|
604 | |
---|
605 | /// Node ID. |
---|
606 | |
---|
607 | /// The ID of a valid Node is a nonnegative integer not greater than |
---|
608 | /// \ref maxNodeId(). The range of the ID's is not surely continuous |
---|
609 | /// and the greatest node ID can be actually less then \ref maxNodeId(). |
---|
610 | /// |
---|
611 | /// The ID of the \ref INVALID node is -1. |
---|
612 | ///\return The ID of the node \c v. |
---|
613 | static int id(Node v) { return v.n; } |
---|
614 | /// Edge ID. |
---|
615 | |
---|
616 | /// The ID of a valid Edge is a nonnegative integer not greater than |
---|
617 | /// \ref maxEdgeId(). The range of the ID's is not surely continuous |
---|
618 | /// and the greatest edge ID can be actually less then \ref maxEdgeId(). |
---|
619 | /// |
---|
620 | /// The ID of the \ref INVALID edge is -1. |
---|
621 | ///\return The ID of the edge \c e. |
---|
622 | static int id(Edge e) { return -1; } |
---|
623 | |
---|
624 | /// Adds a new node to the graph. |
---|
625 | |
---|
626 | /// \warning It adds the new node to the front of the list. |
---|
627 | /// (i.e. the lastly added node becomes the first.) |
---|
628 | Node addNode() { |
---|
629 | int n; |
---|
630 | |
---|
631 | if(first_free_node==-1) |
---|
632 | { |
---|
633 | n = nodes.size(); |
---|
634 | nodes.push_back(NodeT()); |
---|
635 | } |
---|
636 | else { |
---|
637 | n = first_free_node; |
---|
638 | first_free_node = nodes[n].next; |
---|
639 | } |
---|
640 | |
---|
641 | nodes[n].next = first_node; |
---|
642 | if(first_node != -1) nodes[first_node].prev = n; |
---|
643 | first_node = n; |
---|
644 | nodes[n].prev = -1; |
---|
645 | |
---|
646 | nodes[n].first_in = nodes[n].first_out = -1; |
---|
647 | |
---|
648 | Node nn; nn.n=n; |
---|
649 | |
---|
650 | //Update dynamic maps |
---|
651 | node_maps.add(nn); |
---|
652 | |
---|
653 | return nn; |
---|
654 | } |
---|
655 | |
---|
656 | void erase(Node nn) { |
---|
657 | int n=nn.n; |
---|
658 | |
---|
659 | if(nodes[n].next != -1) nodes[nodes[n].next].prev = nodes[n].prev; |
---|
660 | if(nodes[n].prev != -1) nodes[nodes[n].prev].next = nodes[n].next; |
---|
661 | else first_node = nodes[n].next; |
---|
662 | |
---|
663 | nodes[n].next = first_free_node; |
---|
664 | first_free_node = n; |
---|
665 | |
---|
666 | //Update dynamic maps |
---|
667 | node_maps.erase(nn); |
---|
668 | } |
---|
669 | |
---|
670 | |
---|
671 | Edge findEdge(Node u,Node v, Edge prev = INVALID) |
---|
672 | { |
---|
673 | return INVALID; |
---|
674 | } |
---|
675 | |
---|
676 | void clear() { |
---|
677 | node_maps.clear(); |
---|
678 | nodes.clear(); |
---|
679 | first_node = first_free_node = -1; |
---|
680 | } |
---|
681 | |
---|
682 | class Node { |
---|
683 | friend class NodeSet; |
---|
684 | template <typename T> friend class NodeMap; |
---|
685 | |
---|
686 | friend class Edge; |
---|
687 | friend class OutEdgeIt; |
---|
688 | friend class InEdgeIt; |
---|
689 | |
---|
690 | protected: |
---|
691 | int n; |
---|
692 | friend int NodeSet::id(Node v); |
---|
693 | Node(int nn) {n=nn;} |
---|
694 | public: |
---|
695 | Node() {} |
---|
696 | Node (Invalid i) { n=-1; } |
---|
697 | bool operator==(const Node i) const {return n==i.n;} |
---|
698 | bool operator!=(const Node i) const {return n!=i.n;} |
---|
699 | bool operator<(const Node i) const {return n<i.n;} |
---|
700 | }; |
---|
701 | |
---|
702 | class NodeIt : public Node { |
---|
703 | const NodeSet *G; |
---|
704 | friend class NodeSet; |
---|
705 | public: |
---|
706 | NodeIt() : Node() { } |
---|
707 | NodeIt(const NodeSet& _G,Node n) : Node(n), G(&_G) { } |
---|
708 | NodeIt(Invalid i) : Node(i) { } |
---|
709 | NodeIt(const NodeSet& _G) : Node(_G.first_node), G(&_G) { } |
---|
710 | NodeIt &operator++() { |
---|
711 | n=G->nodes[n].next; |
---|
712 | return *this; |
---|
713 | } |
---|
714 | }; |
---|
715 | |
---|
716 | class Edge { |
---|
717 | public: |
---|
718 | Edge() { } |
---|
719 | Edge (Invalid) { } |
---|
720 | bool operator==(const Edge i) const {return true;} |
---|
721 | bool operator!=(const Edge i) const {return false;} |
---|
722 | bool operator<(const Edge i) const {return false;} |
---|
723 | }; |
---|
724 | |
---|
725 | class EdgeIt : public Edge { |
---|
726 | public: |
---|
727 | EdgeIt(const NodeSet& G) : Edge() { } |
---|
728 | EdgeIt(const NodeSet&, Edge) : Edge() { } |
---|
729 | EdgeIt (Invalid i) : Edge(i) { } |
---|
730 | EdgeIt() : Edge() { } |
---|
731 | EdgeIt operator++() { return INVALID; } |
---|
732 | }; |
---|
733 | |
---|
734 | class OutEdgeIt : public Edge { |
---|
735 | friend class NodeSet; |
---|
736 | public: |
---|
737 | OutEdgeIt() : Edge() { } |
---|
738 | OutEdgeIt(const NodeSet&, Edge) : Edge() { } |
---|
739 | OutEdgeIt (Invalid i) : Edge(i) { } |
---|
740 | OutEdgeIt(const NodeSet& G,const Node v) : Edge() {} |
---|
741 | OutEdgeIt operator++() { return INVALID; } |
---|
742 | }; |
---|
743 | |
---|
744 | class InEdgeIt : public Edge { |
---|
745 | friend class NodeSet; |
---|
746 | public: |
---|
747 | InEdgeIt() : Edge() { } |
---|
748 | InEdgeIt(const NodeSet&, Edge) : Edge() { } |
---|
749 | InEdgeIt (Invalid i) : Edge(i) { } |
---|
750 | InEdgeIt(const NodeSet& G,Node v) :Edge() {} |
---|
751 | InEdgeIt operator++() { return INVALID; } |
---|
752 | }; |
---|
753 | |
---|
754 | }; |
---|
755 | |
---|
756 | |
---|
757 | |
---|
758 | ///Graph structure using a node set of another graph. |
---|
759 | |
---|
760 | ///This structure can be used to establish another graph over a node set |
---|
761 | /// of an existing one. The node iterator will go through the nodes of the |
---|
762 | /// original graph, and the NodeMap's of both graphs will convert to |
---|
763 | /// each other. |
---|
764 | /// |
---|
765 | ///\warning Adding or deleting nodes from the graph is not safe if an |
---|
766 | ///\ref EdgeSet is currently attached to it! |
---|
767 | /// |
---|
768 | ///\todo Make it possible to add/delete edges from the base graph |
---|
769 | ///(and from \ref EdgeSet, as well) |
---|
770 | /// |
---|
771 | ///\param GG The type of the graph which shares its node set with this class. |
---|
772 | ///Its interface must conform to the |
---|
773 | ///\ref skeleton::StaticGraph "StaticGraph" concept. |
---|
774 | /// |
---|
775 | ///It conforms to the |
---|
776 | ///\ref skeleton::ExtendableGraph "ExtendableGraph" concept. |
---|
777 | ///\sa skeleton::ExtendableGraph. |
---|
778 | ///\sa NodeSet. |
---|
779 | template<typename GG> |
---|
780 | class EdgeSet { |
---|
781 | |
---|
782 | typedef GG NodeGraphType; |
---|
783 | |
---|
784 | NodeGraphType &G; |
---|
785 | |
---|
786 | public: |
---|
787 | |
---|
788 | class Node; |
---|
789 | class Edge; |
---|
790 | class OutEdgeIt; |
---|
791 | class InEdgeIt; |
---|
792 | class SymEdge; |
---|
793 | |
---|
794 | typedef EdgeSet Graph; |
---|
795 | |
---|
796 | int id(Node v) const; |
---|
797 | |
---|
798 | class Node : public NodeGraphType::Node { |
---|
799 | friend class EdgeSet; |
---|
800 | |
---|
801 | friend class Edge; |
---|
802 | friend class OutEdgeIt; |
---|
803 | friend class InEdgeIt; |
---|
804 | friend class SymEdge; |
---|
805 | |
---|
806 | public: |
---|
807 | friend int EdgeSet::id(Node v) const; |
---|
808 | public: |
---|
809 | Node() : NodeGraphType::Node() {} |
---|
810 | Node (Invalid i) : NodeGraphType::Node(i) {} |
---|
811 | Node(const typename NodeGraphType::Node &n) : NodeGraphType::Node(n) {} |
---|
812 | }; |
---|
813 | |
---|
814 | class NodeIt : public NodeGraphType::NodeIt { |
---|
815 | friend class EdgeSet; |
---|
816 | public: |
---|
817 | NodeIt() : NodeGraphType::NodeIt() { } |
---|
818 | NodeIt(const EdgeSet& _G,Node n) : NodeGraphType::NodeIt(_G.G,n) { } |
---|
819 | NodeIt (Invalid i) : NodeGraphType::NodeIt(i) {} |
---|
820 | NodeIt(const EdgeSet& _G) : NodeGraphType::NodeIt(_G.G) { } |
---|
821 | NodeIt(const typename NodeGraphType::NodeIt &n) |
---|
822 | : NodeGraphType::NodeIt(n) {} |
---|
823 | |
---|
824 | operator Node() { return Node(*this);} |
---|
825 | NodeIt &operator++() |
---|
826 | { this->NodeGraphType::NodeIt::operator++(); return *this;} |
---|
827 | }; |
---|
828 | |
---|
829 | private: |
---|
830 | //Edges are double linked. |
---|
831 | //The free edges are only single linked using the "next_in" field. |
---|
832 | struct NodeT |
---|
833 | { |
---|
834 | int first_in,first_out; |
---|
835 | NodeT() : first_in(-1), first_out(-1) { } |
---|
836 | }; |
---|
837 | |
---|
838 | struct EdgeT |
---|
839 | { |
---|
840 | Node head, tail; |
---|
841 | int prev_in, prev_out; |
---|
842 | int next_in, next_out; |
---|
843 | }; |
---|
844 | |
---|
845 | |
---|
846 | typename NodeGraphType::template NodeMap<NodeT> nodes; |
---|
847 | |
---|
848 | std::vector<EdgeT> edges; |
---|
849 | //The first free edge |
---|
850 | int first_free_edge; |
---|
851 | |
---|
852 | public: |
---|
853 | |
---|
854 | class Node; |
---|
855 | class Edge; |
---|
856 | |
---|
857 | class NodeIt; |
---|
858 | class EdgeIt; |
---|
859 | class OutEdgeIt; |
---|
860 | class InEdgeIt; |
---|
861 | |
---|
862 | |
---|
863 | // Create edge map registry. |
---|
864 | CREATE_EDGE_MAP_REGISTRY; |
---|
865 | // Create edge maps. |
---|
866 | CREATE_EDGE_MAP(ArrayMap); |
---|
867 | |
---|
868 | // Import node maps from the NodeGraphType. |
---|
869 | IMPORT_NODE_MAP(NodeGraphType, graph.G, EdgeSet, graph); |
---|
870 | |
---|
871 | |
---|
872 | public: |
---|
873 | |
---|
874 | ///Constructor |
---|
875 | |
---|
876 | ///Construates a new graph based on the nodeset of an existing one. |
---|
877 | ///\param _G the base graph. |
---|
878 | explicit EdgeSet(NodeGraphType &_G) |
---|
879 | : G(_G), nodes(_G), edges(), |
---|
880 | first_free_edge(-1) {} |
---|
881 | ///Copy constructor |
---|
882 | |
---|
883 | ///Makes a copy of an EdgeSet. |
---|
884 | ///It will be based on the same graph. |
---|
885 | explicit EdgeSet(const EdgeSet &_g) |
---|
886 | : G(_g.G), nodes(_g.G), edges(_g.edges), |
---|
887 | first_free_edge(_g.first_free_edge) {} |
---|
888 | |
---|
889 | ///Number of nodes. |
---|
890 | int nodeNum() const { return G.nodeNum(); } |
---|
891 | ///Number of edges. |
---|
892 | int edgeNum() const { return edges.size(); } |
---|
893 | |
---|
894 | /// Maximum node ID. |
---|
895 | |
---|
896 | /// Maximum node ID. |
---|
897 | ///\sa id(Node) |
---|
898 | int maxNodeId() const { return G.maxNodeId(); } |
---|
899 | /// Maximum edge ID. |
---|
900 | |
---|
901 | /// Maximum edge ID. |
---|
902 | ///\sa id(Edge) |
---|
903 | int maxEdgeId() const { return edges.size()-1; } |
---|
904 | |
---|
905 | Node tail(Edge e) const { return edges[e.n].tail; } |
---|
906 | Node head(Edge e) const { return edges[e.n].head; } |
---|
907 | |
---|
908 | NodeIt& first(NodeIt& v) const { |
---|
909 | v=NodeIt(*this); return v; } |
---|
910 | EdgeIt& first(EdgeIt& e) const { |
---|
911 | e=EdgeIt(*this); return e; } |
---|
912 | OutEdgeIt& first(OutEdgeIt& e, const Node v) const { |
---|
913 | e=OutEdgeIt(*this,v); return e; } |
---|
914 | InEdgeIt& first(InEdgeIt& e, const Node v) const { |
---|
915 | e=InEdgeIt(*this,v); return e; } |
---|
916 | |
---|
917 | /// Node ID. |
---|
918 | |
---|
919 | /// The ID of a valid Node is a nonnegative integer not greater than |
---|
920 | /// \ref maxNodeId(). The range of the ID's is not surely continuous |
---|
921 | /// and the greatest node ID can be actually less then \ref maxNodeId(). |
---|
922 | /// |
---|
923 | /// The ID of the \ref INVALID node is -1. |
---|
924 | ///\return The ID of the node \c v. |
---|
925 | int id(Node v) { return G.id(v); } |
---|
926 | /// Edge ID. |
---|
927 | |
---|
928 | /// The ID of a valid Edge is a nonnegative integer not greater than |
---|
929 | /// \ref maxEdgeId(). The range of the ID's is not surely continuous |
---|
930 | /// and the greatest edge ID can be actually less then \ref maxEdgeId(). |
---|
931 | /// |
---|
932 | /// The ID of the \ref INVALID edge is -1. |
---|
933 | ///\return The ID of the edge \c e. |
---|
934 | static int id(Edge e) { return e.n; } |
---|
935 | |
---|
936 | /// Adds a new node to the graph. |
---|
937 | Node addNode() { return G.addNode(); } |
---|
938 | |
---|
939 | Edge addEdge(Node u, Node v) { |
---|
940 | int n; |
---|
941 | |
---|
942 | if(first_free_edge==-1) |
---|
943 | { |
---|
944 | n = edges.size(); |
---|
945 | edges.push_back(EdgeT()); |
---|
946 | } |
---|
947 | else { |
---|
948 | n = first_free_edge; |
---|
949 | first_free_edge = edges[n].next_in; |
---|
950 | } |
---|
951 | |
---|
952 | edges[n].tail = u; edges[n].head = v; |
---|
953 | |
---|
954 | edges[n].next_out = nodes[u].first_out; |
---|
955 | if(nodes[u].first_out != -1) edges[nodes[u].first_out].prev_out = n; |
---|
956 | edges[n].next_in = nodes[v].first_in; |
---|
957 | if(nodes[v].first_in != -1) edges[nodes[v].first_in].prev_in = n; |
---|
958 | edges[n].prev_in = edges[n].prev_out = -1; |
---|
959 | |
---|
960 | nodes[u].first_out = nodes[v].first_in = n; |
---|
961 | |
---|
962 | Edge e; e.n=n; |
---|
963 | |
---|
964 | //Update dynamic maps |
---|
965 | edge_maps.add(e); |
---|
966 | |
---|
967 | return e; |
---|
968 | } |
---|
969 | |
---|
970 | /// Finds an edge between two nodes. |
---|
971 | |
---|
972 | /// Finds an edge from node \c u to node \c v. |
---|
973 | /// |
---|
974 | /// If \c prev is \ref INVALID (this is the default value), then |
---|
975 | /// It finds the first edge from \c u to \c v. Otherwise it looks for |
---|
976 | /// the next edge from \c u to \c v after \c prev. |
---|
977 | /// \return The found edge or INVALID if there is no such an edge. |
---|
978 | Edge findEdge(Node u,Node v, Edge prev = INVALID) |
---|
979 | { |
---|
980 | int e = (prev.n==-1)? nodes[u].first_out : edges[prev.n].next_out; |
---|
981 | while(e!=-1 && edges[e].tail!=v) e = edges[e].next_out; |
---|
982 | prev.n=e; |
---|
983 | return prev; |
---|
984 | } |
---|
985 | |
---|
986 | private: |
---|
987 | void eraseEdge(int n) { |
---|
988 | |
---|
989 | if(edges[n].next_in!=-1) |
---|
990 | edges[edges[n].next_in].prev_in = edges[n].prev_in; |
---|
991 | if(edges[n].prev_in!=-1) |
---|
992 | edges[edges[n].prev_in].next_in = edges[n].next_in; |
---|
993 | else nodes[edges[n].head].first_in = edges[n].next_in; |
---|
994 | |
---|
995 | if(edges[n].next_out!=-1) |
---|
996 | edges[edges[n].next_out].prev_out = edges[n].prev_out; |
---|
997 | if(edges[n].prev_out!=-1) |
---|
998 | edges[edges[n].prev_out].next_out = edges[n].next_out; |
---|
999 | else nodes[edges[n].tail].first_out = edges[n].next_out; |
---|
1000 | |
---|
1001 | edges[n].next_in = first_free_edge; |
---|
1002 | first_free_edge = -1; |
---|
1003 | |
---|
1004 | //Update dynamic maps |
---|
1005 | Edge e; e.n = n; |
---|
1006 | edge_maps.erase(e); |
---|
1007 | } |
---|
1008 | |
---|
1009 | public: |
---|
1010 | |
---|
1011 | void erase(Edge e) { eraseEdge(e.n); } |
---|
1012 | |
---|
1013 | ///Clear all edges. (Doesn't clear the nodes!) |
---|
1014 | void clear() { |
---|
1015 | edge_maps.clear(); |
---|
1016 | edges.clear(); |
---|
1017 | first_free_edge=-1; |
---|
1018 | } |
---|
1019 | |
---|
1020 | |
---|
1021 | class Edge { |
---|
1022 | public: |
---|
1023 | friend class EdgeSet; |
---|
1024 | template <typename T> friend class EdgeMap; |
---|
1025 | |
---|
1026 | friend class Node; |
---|
1027 | friend class NodeIt; |
---|
1028 | protected: |
---|
1029 | int n; |
---|
1030 | friend int EdgeSet::id(Edge e) const; |
---|
1031 | |
---|
1032 | Edge(int nn) {n=nn;} |
---|
1033 | public: |
---|
1034 | Edge() { } |
---|
1035 | Edge (Invalid) { n=-1; } |
---|
1036 | bool operator==(const Edge i) const {return n==i.n;} |
---|
1037 | bool operator!=(const Edge i) const {return n!=i.n;} |
---|
1038 | bool operator<(const Edge i) const {return n<i.n;} |
---|
1039 | }; |
---|
1040 | |
---|
1041 | class EdgeIt : public Edge { |
---|
1042 | friend class EdgeSet; |
---|
1043 | template <typename T> friend class EdgeMap; |
---|
1044 | |
---|
1045 | const EdgeSet *G; |
---|
1046 | public: |
---|
1047 | EdgeIt(const EdgeSet& _G) : Edge(), G(&_G) { |
---|
1048 | NodeIt m; |
---|
1049 | for(G->first(m); |
---|
1050 | m!=INVALID && G->nodes[m].first_in == -1; ++m); |
---|
1051 | ///\bug AJJAJ! This is a non sense!!!!!!! |
---|
1052 | this->n = m!=INVALID?-1:G->nodes[m].first_in; |
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1053 | } |
---|
1054 | EdgeIt(const EdgeSet& _G, Edge e) : Edge(e), G(&_G) { } |
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1055 | EdgeIt (Invalid i) : Edge(i) { } |
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1056 | EdgeIt() : Edge() { } |
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1057 | ///. |
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1058 | |
---|
1059 | ///\bug UNIMPLEMENTED!!!!! |
---|
1060 | // |
---|
1061 | EdgeIt &operator++() { |
---|
1062 | return *this; |
---|
1063 | } |
---|
1064 | }; |
---|
1065 | |
---|
1066 | class OutEdgeIt : public Edge { |
---|
1067 | const EdgeSet *G; |
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1068 | friend class EdgeSet; |
---|
1069 | public: |
---|
1070 | OutEdgeIt() : Edge() { } |
---|
1071 | OutEdgeIt (Invalid i) : Edge(i) { } |
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1072 | OutEdgeIt(const EdgeSet& _G, Edge e) : Edge(e), G(&_G) { } |
---|
1073 | |
---|
1074 | OutEdgeIt(const EdgeSet& _G,const Node v) : |
---|
1075 | Edge(_G.nodes[v].first_out), G(&_G) { } |
---|
1076 | OutEdgeIt &operator++() { |
---|
1077 | Edge::n = G->edges[Edge::n].next_out; |
---|
1078 | return *this; |
---|
1079 | } |
---|
1080 | }; |
---|
1081 | |
---|
1082 | class InEdgeIt : public Edge { |
---|
1083 | const EdgeSet *G; |
---|
1084 | friend class EdgeSet; |
---|
1085 | public: |
---|
1086 | InEdgeIt() : Edge() { } |
---|
1087 | InEdgeIt (Invalid i) : Edge(i) { } |
---|
1088 | InEdgeIt(const EdgeSet& _G, Edge e) : Edge(e), G(&_G) { } |
---|
1089 | InEdgeIt(const EdgeSet& _G,Node v) |
---|
1090 | : Edge(_G.nodes[v].first_in), G(&_G) { } |
---|
1091 | InEdgeIt &operator++() { |
---|
1092 | Edge::n = G->edges[Edge::n].next_in; |
---|
1093 | return *this; |
---|
1094 | } |
---|
1095 | }; |
---|
1096 | |
---|
1097 | }; |
---|
1098 | |
---|
1099 | template<typename GG> |
---|
1100 | inline int EdgeSet<GG>::id(Node v) const { return G.id(v); } |
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1101 | |
---|
1102 | /// @} |
---|
1103 | |
---|
1104 | } //namespace lemon |
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1105 | |
---|
1106 | #endif //LEMON_LIST_GRAPH_H |
---|