1 | //======================================================================= |
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2 | // Copyright 1997, 1998, 1999, 2000 University of Notre Dame. |
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3 | // Authors: Andrew Lumsdaine, Lie-Quan Lee, Jeremy G. Siek |
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4 | // |
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5 | // Distributed under the Boost Software License, Version 1.0. (See |
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6 | // accompanying file LICENSE_1_0.txt or copy at |
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7 | // http://www.boost.org/LICENSE_1_0.txt) |
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8 | //======================================================================= |
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9 | #ifndef BOOST_GRAPH_DETAIL_CONNECTED_COMPONENTS_HPP |
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10 | #define BOOST_GRAPH_DETAIL_CONNECTED_COMPONENTS_HPP |
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11 | |
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12 | #if defined(__sgi) && !defined(__GNUC__) |
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13 | #pragma set woff 1234 |
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14 | #endif |
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15 | |
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16 | #include <boost/operators.hpp> |
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17 | |
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18 | namespace boost { |
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19 | |
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20 | namespace detail { |
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21 | |
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22 | //========================================================================= |
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23 | // Implementation details of connected_components |
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24 | |
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25 | // This is used both in the connected_components algorithm and in |
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26 | // the kosaraju strong components algorithm during the second DFS |
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27 | // traversal. |
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28 | template <class ComponentsPA, class DFSVisitor> |
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29 | class components_recorder : public DFSVisitor |
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30 | { |
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31 | typedef typename property_traits<ComponentsPA>::value_type comp_type; |
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32 | public: |
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33 | components_recorder(ComponentsPA c, |
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34 | comp_type& c_count, |
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35 | DFSVisitor v) |
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36 | : DFSVisitor(v), m_component(c), m_count(c_count) {} |
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37 | |
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38 | template <class Vertex, class Graph> |
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39 | void start_vertex(Vertex u, Graph& g) { |
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40 | ++m_count; |
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41 | DFSVisitor::start_vertex(u, g); |
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42 | } |
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43 | template <class Vertex, class Graph> |
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44 | void discover_vertex(Vertex u, Graph& g) { |
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45 | put(m_component, u, m_count); |
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46 | DFSVisitor::discover_vertex(u, g); |
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47 | } |
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48 | protected: |
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49 | ComponentsPA m_component; |
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50 | comp_type& m_count; |
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51 | }; |
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52 | |
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53 | template <class DiscoverTimeMap, class FinishTimeMap, class TimeT, |
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54 | class DFSVisitor> |
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55 | class time_recorder : public DFSVisitor |
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56 | { |
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57 | public: |
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58 | time_recorder(DiscoverTimeMap d, FinishTimeMap f, TimeT& t, DFSVisitor v) |
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59 | : DFSVisitor(v), m_discover_time(d), m_finish_time(f), m_t(t) {} |
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60 | |
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61 | template <class Vertex, class Graph> |
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62 | void discover_vertex(Vertex u, Graph& g) { |
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63 | put(m_discover_time, u, ++m_t); |
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64 | DFSVisitor::discover_vertex(u, g); |
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65 | } |
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66 | template <class Vertex, class Graph> |
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67 | void finish_vertex(Vertex u, Graph& g) { |
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68 | put(m_finish_time, u, ++m_t); |
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69 | DFSVisitor::discover_vertex(u, g); |
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70 | } |
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71 | protected: |
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72 | DiscoverTimeMap m_discover_time; |
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73 | FinishTimeMap m_finish_time; |
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74 | TimeT m_t; |
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75 | }; |
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76 | template <class DiscoverTimeMap, class FinishTimeMap, class TimeT, |
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77 | class DFSVisitor> |
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78 | time_recorder<DiscoverTimeMap, FinishTimeMap, TimeT, DFSVisitor> |
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79 | record_times(DiscoverTimeMap d, FinishTimeMap f, TimeT& t, DFSVisitor vis) |
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80 | { |
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81 | return time_recorder<DiscoverTimeMap, FinishTimeMap, TimeT, DFSVisitor> |
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82 | (d, f, t, vis); |
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83 | } |
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84 | |
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85 | //========================================================================= |
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86 | // Implementation detail of dynamic_components |
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87 | |
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88 | |
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89 | //------------------------------------------------------------------------- |
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90 | // Helper functions for the component_index class |
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91 | |
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92 | // Record the representative vertices in the header array. |
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93 | // Representative vertices now point to the component number. |
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94 | |
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95 | template <class Parent, class OutputIterator, class Integer> |
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96 | inline void |
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97 | build_components_header(Parent p, |
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98 | OutputIterator header, |
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99 | Integer num_nodes) |
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100 | { |
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101 | Parent component = p; |
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102 | Integer component_num = 0; |
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103 | for (Integer v = 0; v != num_nodes; ++v) |
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104 | if (p[v] == v) { |
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105 | *header++ = v; |
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106 | component[v] = component_num++; |
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107 | } |
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108 | } |
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109 | |
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110 | |
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111 | // Pushes x onto the front of the list. The list is represented in |
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112 | // an array. |
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113 | template <class Next, class T, class V> |
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114 | inline void push_front(Next next, T& head, V x) |
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115 | { |
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116 | T tmp = head; |
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117 | head = x; |
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118 | next[x] = tmp; |
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119 | } |
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120 | |
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121 | |
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122 | // Create a linked list of the vertices in each component |
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123 | // by reusing the representative array. |
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124 | template <class Parent1, class Parent2, |
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125 | class Integer> |
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126 | void |
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127 | link_components(Parent1 component, Parent2 header, |
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128 | Integer num_nodes, Integer num_components) |
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129 | { |
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130 | // Make the non-representative vertices point to their component |
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131 | Parent1 representative = component; |
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132 | for (Integer v = 0; v != num_nodes; ++v) |
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133 | if (component[v] >= num_components || header[component[v]] != v) |
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134 | component[v] = component[representative[v]]; |
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135 | |
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136 | // initialize the "head" of the lists to "NULL" |
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137 | std::fill_n(header, num_components, num_nodes); |
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138 | |
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139 | // Add each vertex to the linked list for its component |
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140 | Parent1 next = component; |
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141 | for (Integer k = 0; k != num_nodes; ++k) |
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142 | push_front(next, header[component[k]], k); |
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143 | } |
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144 | |
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145 | |
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146 | |
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147 | template <class IndexContainer, class HeaderContainer> |
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148 | void |
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149 | construct_component_index(IndexContainer& index, HeaderContainer& header) |
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150 | { |
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151 | build_components_header(index.begin(), |
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152 | std::back_inserter(header), |
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153 | index.end() - index.begin()); |
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154 | |
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155 | link_components(index.begin(), header.begin(), |
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156 | index.end() - index.begin(), |
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157 | header.end() - header.begin()); |
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158 | } |
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159 | |
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160 | |
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161 | |
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162 | template <class IndexIterator, class Integer, class Distance> |
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163 | class component_iterator |
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164 | : boost::forward_iterator_helper< |
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165 | component_iterator<IndexIterator,Integer,Distance>, |
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166 | Integer, Distance,Integer*, Integer&> |
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167 | { |
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168 | public: |
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169 | typedef component_iterator self; |
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170 | |
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171 | IndexIterator next; |
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172 | Integer node; |
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173 | |
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174 | typedef std::forward_iterator_tag iterator_category; |
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175 | typedef Integer value_type; |
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176 | typedef Integer& reference; |
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177 | typedef Integer* pointer; |
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178 | typedef Distance difference_type; |
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179 | |
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180 | component_iterator() {} |
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181 | component_iterator(IndexIterator x, Integer i) |
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182 | : next(x), node(i) {} |
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183 | Integer operator*() const { |
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184 | return node; |
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185 | } |
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186 | self& operator++() { |
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187 | node = next[node]; |
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188 | return *this; |
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189 | } |
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190 | }; |
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191 | |
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192 | template <class IndexIterator, class Integer, class Distance> |
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193 | inline bool |
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194 | operator==(const component_iterator<IndexIterator, Integer, Distance>& x, |
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195 | const component_iterator<IndexIterator, Integer, Distance>& y) |
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196 | { |
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197 | return x.node == y.node; |
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198 | } |
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199 | |
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200 | } // namespace detail |
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201 | |
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202 | } // namespace detail |
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203 | |
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204 | #if defined(__sgi) && !defined(__GNUC__) |
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205 | #pragma reset woff 1234 |
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206 | #endif |
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207 | |
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208 | #endif |
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