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1 /////////////////////////////////////////////////////////////////////////////
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2 //
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3 // (C) Copyright Ion Gaztanaga 2007-2013
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4 //
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5 // Distributed under the Boost Software License, Version 1.0.
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6 // (See 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 // See http://www.boost.org/libs/intrusive for documentation.
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10 //
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11 /////////////////////////////////////////////////////////////////////////////
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12 //
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13 // Scapegoat tree algorithms are taken from the paper titled:
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14 // "Scapegoat Trees" by Igal Galperin Ronald L. Rivest.
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15 //
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16 /////////////////////////////////////////////////////////////////////////////
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17 #ifndef BOOST_INTRUSIVE_SGTREE_ALGORITHMS_HPP
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18 #define BOOST_INTRUSIVE_SGTREE_ALGORITHMS_HPP
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19
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20 #include <boost/intrusive/detail/config_begin.hpp>
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21
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22 #include <cstddef>
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23 #include <boost/intrusive/intrusive_fwd.hpp>
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24 #include <boost/intrusive/detail/assert.hpp>
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25 #include <boost/intrusive/detail/utilities.hpp>
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26 #include <boost/intrusive/bstree_algorithms.hpp>
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27 #include <boost/intrusive/pointer_traits.hpp>
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28
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29
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30 namespace boost {
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31 namespace intrusive {
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32
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33 //! sgtree_algorithms is configured with a NodeTraits class, which encapsulates the
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34 //! information about the node to be manipulated. NodeTraits must support the
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35 //! following interface:
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36 //!
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37 //! <b>Typedefs</b>:
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38 //!
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39 //! <tt>node</tt>: The type of the node that forms the binary search tree
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40 //!
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41 //! <tt>node_ptr</tt>: A pointer to a node
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42 //!
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43 //! <tt>const_node_ptr</tt>: A pointer to a const node
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44 //!
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45 //! <b>Static functions</b>:
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46 //!
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47 //! <tt>static node_ptr get_parent(const_node_ptr n);</tt>
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48 //!
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49 //! <tt>static void set_parent(node_ptr n, node_ptr parent);</tt>
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50 //!
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51 //! <tt>static node_ptr get_left(const_node_ptr n);</tt>
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52 //!
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53 //! <tt>static void set_left(node_ptr n, node_ptr left);</tt>
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54 //!
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55 //! <tt>static node_ptr get_right(const_node_ptr n);</tt>
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56 //!
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57 //! <tt>static void set_right(node_ptr n, node_ptr right);</tt>
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58 template<class NodeTraits>
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59 class sgtree_algorithms
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60 #ifndef BOOST_INTRUSIVE_DOXYGEN_INVOKED
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61 : public bstree_algorithms<NodeTraits>
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62 #endif
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63 {
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64 public:
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65 typedef typename NodeTraits::node node;
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66 typedef NodeTraits node_traits;
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67 typedef typename NodeTraits::node_ptr node_ptr;
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68 typedef typename NodeTraits::const_node_ptr const_node_ptr;
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69
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70 /// @cond
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71 private:
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72
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73 typedef bstree_algorithms<NodeTraits> bstree_algo;
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74
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75 /// @endcond
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76
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77 public:
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78 //! This type is the information that will be
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79 //! filled by insert_unique_check
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80 struct insert_commit_data
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81 : bstree_algo::insert_commit_data
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82 {
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83 std::size_t depth;
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84 };
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85
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86 #ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
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87 //! @copydoc ::boost::intrusive::bstree_algorithms::get_header(const const_node_ptr&)
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88 static node_ptr get_header(const const_node_ptr & n);
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89
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90 //! @copydoc ::boost::intrusive::bstree_algorithms::begin_node
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91 static node_ptr begin_node(const const_node_ptr & header);
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92
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93 //! @copydoc ::boost::intrusive::bstree_algorithms::end_node
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94 static node_ptr end_node(const const_node_ptr & header);
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95
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96 //! @copydoc ::boost::intrusive::bstree_algorithms::swap_tree
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97 static void swap_tree(const node_ptr & header1, const node_ptr & header2);
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98
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99 //! @copydoc ::boost::intrusive::bstree_algorithms::swap_nodes(const node_ptr&,const node_ptr&)
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100 static void swap_nodes(const node_ptr & node1, const node_ptr & node2);
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101
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102 //! @copydoc ::boost::intrusive::bstree_algorithms::swap_nodes(const node_ptr&,const node_ptr&,const node_ptr&,const node_ptr&)
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103 static void swap_nodes(const node_ptr & node1, const node_ptr & header1, const node_ptr & node2, const node_ptr & header2);
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104
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105 //! @copydoc ::boost::intrusive::bstree_algorithms::replace_node(const node_ptr&,const node_ptr&)
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106 static void replace_node(const node_ptr & node_to_be_replaced, const node_ptr & new_node);
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107
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108 //! @copydoc ::boost::intrusive::bstree_algorithms::replace_node(const node_ptr&,const node_ptr&,const node_ptr&)
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109 static void replace_node(const node_ptr & node_to_be_replaced, const node_ptr & header, const node_ptr & new_node);
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110
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111 //Unlink is not possible since tree metadata is needed to update the tree
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112 //!static void unlink(const node_ptr & node);
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113
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114 //! @copydoc ::boost::intrusive::bstree_algorithms::unlink_leftmost_without_rebalance
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115 static node_ptr unlink_leftmost_without_rebalance(const node_ptr & header);
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116
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117 //! @copydoc ::boost::intrusive::bstree_algorithms::unique(const const_node_ptr&)
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118 static bool unique(const const_node_ptr & node);
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119
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120 //! @copydoc ::boost::intrusive::bstree_algorithms::size(const const_node_ptr&)
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121 static std::size_t size(const const_node_ptr & header);
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122
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123 //! @copydoc ::boost::intrusive::bstree_algorithms::next_node(const node_ptr&)
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124 static node_ptr next_node(const node_ptr & node);
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125
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126 //! @copydoc ::boost::intrusive::bstree_algorithms::prev_node(const node_ptr&)
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127 static node_ptr prev_node(const node_ptr & node);
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128
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129 //! @copydoc ::boost::intrusive::bstree_algorithms::init(const node_ptr&)
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130 static void init(const node_ptr & node);
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131
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132 //! @copydoc ::boost::intrusive::bstree_algorithms::init_header(const node_ptr&)
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133 static void init_header(const node_ptr & header);
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134 #endif //#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
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135
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136 //! @copydoc ::boost::intrusive::bstree_algorithms::erase(const node_ptr&,const node_ptr&)
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137 template<class AlphaByMaxSize>
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138 static node_ptr erase(const node_ptr & header, const node_ptr & z, std::size_t tree_size, std::size_t &max_tree_size, AlphaByMaxSize alpha_by_maxsize)
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139 {
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140 //typename bstree_algo::data_for_rebalance info;
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141 bstree_algo::erase(header, z);
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142 --tree_size;
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143 if (tree_size > 0 &&
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144 tree_size < alpha_by_maxsize(max_tree_size)){
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145 bstree_algo::rebalance(header);
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146 max_tree_size = tree_size;
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147 }
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148 return z;
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149 }
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150
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151 #ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
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152 //! @copydoc ::boost::intrusive::bstree_algorithms::clone(const const_node_ptr&,const node_ptr&,Cloner,Disposer)
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153 template <class Cloner, class Disposer>
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154 static void clone
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155 (const const_node_ptr & source_header, const node_ptr & target_header, Cloner cloner, Disposer disposer);
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156
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157 //! @copydoc ::boost::intrusive::bstree_algorithms::clear_and_dispose(const node_ptr&,Disposer)
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158 template<class Disposer>
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159 static void clear_and_dispose(const node_ptr & header, Disposer disposer);
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160
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161 //! @copydoc ::boost::intrusive::bstree_algorithms::lower_bound(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
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162 template<class KeyType, class KeyNodePtrCompare>
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163 static node_ptr lower_bound
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164 (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp);
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165
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166 //! @copydoc ::boost::intrusive::bstree_algorithms::upper_bound(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
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167 template<class KeyType, class KeyNodePtrCompare>
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168 static node_ptr upper_bound
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169 (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp);
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170
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171 //! @copydoc ::boost::intrusive::bstree_algorithms::find(const const_node_ptr&, const KeyType&,KeyNodePtrCompare)
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172 template<class KeyType, class KeyNodePtrCompare>
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173 static node_ptr find
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174 (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp);
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175
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176 //! @copydoc ::boost::intrusive::bstree_algorithms::equal_range(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
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177 template<class KeyType, class KeyNodePtrCompare>
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178 static std::pair<node_ptr, node_ptr> equal_range
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179 (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp);
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180
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181 //! @copydoc ::boost::intrusive::bstree_algorithms::bounded_range(const const_node_ptr&,const KeyType&,const KeyType&,KeyNodePtrCompare,bool,bool)
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182 template<class KeyType, class KeyNodePtrCompare>
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183 static std::pair<node_ptr, node_ptr> bounded_range
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184 (const const_node_ptr & header, const KeyType &lower_key, const KeyType &upper_key, KeyNodePtrCompare comp
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185 , bool left_closed, bool right_closed);
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186
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187 //! @copydoc ::boost::intrusive::bstree_algorithms::count(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
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188 template<class KeyType, class KeyNodePtrCompare>
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189 static std::size_t count(const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp);
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190 #endif //#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
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191
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192 //! @copydoc ::boost::intrusive::bstree_algorithms::insert_equal_upper_bound(const node_ptr&,const node_ptr&,NodePtrCompare)
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193 template<class NodePtrCompare, class H_Alpha>
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194 static node_ptr insert_equal_upper_bound
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195 (const node_ptr & h, const node_ptr & new_node, NodePtrCompare comp
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196 ,std::size_t tree_size, H_Alpha h_alpha, std::size_t &max_tree_size)
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197 {
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198 std::size_t depth;
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199 bstree_algo::insert_equal_upper_bound(h, new_node, comp, &depth);
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200 rebalance_after_insertion(new_node, depth, tree_size+1, h_alpha, max_tree_size);
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201 return new_node;
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202 }
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203
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204 //! @copydoc ::boost::intrusive::bstree_algorithms::insert_equal_lower_bound(const node_ptr&,const node_ptr&,NodePtrCompare)
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205 template<class NodePtrCompare, class H_Alpha>
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206 static node_ptr insert_equal_lower_bound
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207 (const node_ptr & h, const node_ptr & new_node, NodePtrCompare comp
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208 ,std::size_t tree_size, H_Alpha h_alpha, std::size_t &max_tree_size)
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209 {
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210 std::size_t depth;
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211 bstree_algo::insert_equal_lower_bound(h, new_node, comp, &depth);
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212 rebalance_after_insertion(new_node, depth, tree_size+1, h_alpha, max_tree_size);
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213 return new_node;
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214 }
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215
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216 //! @copydoc ::boost::intrusive::bstree_algorithms::insert_equal(const node_ptr&,const node_ptr&,const node_ptr&,NodePtrCompare)
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217 template<class NodePtrCompare, class H_Alpha>
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218 static node_ptr insert_equal
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219 (const node_ptr & header, const node_ptr & hint, const node_ptr & new_node, NodePtrCompare comp
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220 ,std::size_t tree_size, H_Alpha h_alpha, std::size_t &max_tree_size)
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221 {
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222 std::size_t depth;
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223 bstree_algo::insert_equal(header, hint, new_node, comp, &depth);
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224 rebalance_after_insertion(new_node, depth, tree_size+1, h_alpha, max_tree_size);
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225 return new_node;
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226 }
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227
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228 //! @copydoc ::boost::intrusive::bstree_algorithms::insert_before(const node_ptr&,const node_ptr&,const node_ptr&)
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229 template<class H_Alpha>
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230 static node_ptr insert_before
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231 (const node_ptr & header, const node_ptr & pos, const node_ptr & new_node
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232 ,std::size_t tree_size, H_Alpha h_alpha, std::size_t &max_tree_size)
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233 {
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234 std::size_t depth;
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235 bstree_algo::insert_before(header, pos, new_node, &depth);
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236 rebalance_after_insertion(new_node, depth, tree_size+1, h_alpha, max_tree_size);
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237 return new_node;
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238 }
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239
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240 //! @copydoc ::boost::intrusive::bstree_algorithms::push_back(const node_ptr&,const node_ptr&)
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241 template<class H_Alpha>
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242 static void push_back(const node_ptr & header, const node_ptr & new_node
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243 ,std::size_t tree_size, H_Alpha h_alpha, std::size_t &max_tree_size)
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244 {
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245 std::size_t depth;
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246 bstree_algo::push_back(header, new_node, &depth);
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247 rebalance_after_insertion(new_node, depth, tree_size+1, h_alpha, max_tree_size);
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248 }
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249
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250 //! @copydoc ::boost::intrusive::bstree_algorithms::push_front(const node_ptr&,const node_ptr&)
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251 template<class H_Alpha>
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252 static void push_front(const node_ptr & header, const node_ptr & new_node
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253 ,std::size_t tree_size, H_Alpha h_alpha, std::size_t &max_tree_size)
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254 {
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255 std::size_t depth;
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256 bstree_algo::push_front(header, new_node, &depth);
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257 rebalance_after_insertion(new_node, depth, tree_size+1, h_alpha, max_tree_size);
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258 }
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259
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260 //! @copydoc ::boost::intrusive::bstree_algorithms::insert_unique_check(const const_node_ptr&,const KeyType&,KeyNodePtrCompare,insert_commit_data&)
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261 template<class KeyType, class KeyNodePtrCompare>
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262 static std::pair<node_ptr, bool> insert_unique_check
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263 (const const_node_ptr & header, const KeyType &key
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264 ,KeyNodePtrCompare comp, insert_commit_data &commit_data)
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265 {
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266 std::size_t depth;
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267 std::pair<node_ptr, bool> ret =
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268 bstree_algo::insert_unique_check(header, key, comp, commit_data, &depth);
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269 commit_data.depth = depth;
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270 return ret;
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271 }
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272
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273 //! @copydoc ::boost::intrusive::bstree_algorithms::insert_unique_check(const const_node_ptr&,const node_ptr&,const KeyType&,KeyNodePtrCompare,insert_commit_data&)
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274 template<class KeyType, class KeyNodePtrCompare>
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275 static std::pair<node_ptr, bool> insert_unique_check
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276 (const const_node_ptr & header, const node_ptr &hint, const KeyType &key
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277 ,KeyNodePtrCompare comp, insert_commit_data &commit_data)
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278 {
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279 std::size_t depth;
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280 std::pair<node_ptr, bool> ret =
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281 bstree_algo::insert_unique_check
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282 (header, hint, key, comp, commit_data, &depth);
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283 commit_data.depth = depth;
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284 return ret;
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285 }
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286
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287 //! @copydoc ::boost::intrusive::bstree_algorithms::insert_unique_commit(const node_ptr&,const node_ptr&,const insert_commit_data&)
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288 template<class H_Alpha>
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289 static void insert_unique_commit
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290 (const node_ptr & header, const node_ptr & new_value, const insert_commit_data &commit_data
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291 ,std::size_t tree_size, H_Alpha h_alpha, std::size_t &max_tree_size)
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292 {
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293 bstree_algo::insert_unique_commit(header, new_value, commit_data);
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294 rebalance_after_insertion(new_value, commit_data.depth, tree_size+1, h_alpha, max_tree_size);
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295 }
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296
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297 #ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
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298 //! @copydoc ::boost::intrusive::bstree_algorithms::is_header
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299 static bool is_header(const const_node_ptr & p);
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300
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301 //! @copydoc ::boost::intrusive::bstree_algorithms::is_header
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302 static void rebalance(const node_ptr & header);
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303
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304 //! @copydoc ::boost::intrusive::bstree_algorithms::rebalance_subtree
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305 static node_ptr rebalance_subtree(const node_ptr & old_root)
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306 #endif //#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
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307
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308 /// @cond
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309 private:
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310
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311 template<class H_Alpha>
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312 static void rebalance_after_insertion
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313 (const node_ptr &x, std::size_t depth
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314 , std::size_t tree_size, H_Alpha h_alpha, std::size_t &max_tree_size)
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315 {
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316 if(tree_size > max_tree_size)
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317 max_tree_size = tree_size;
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318
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319 if(tree_size > 2 && //Nothing to do with only the root
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320 //Check if the root node is unbalanced
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321 //Scapegoat paper depth counts root depth as zero and "depth" counts root as 1,
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322 //but since "depth" is the depth of the ancestor of x, i == depth
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323 depth > h_alpha(tree_size)){
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324
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325 //Find the first non height-balanced node
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326 //as described in the section 4.2 of the paper.
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327 //This method is the alternative method described
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328 //in the paper. Authors claim that this method
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329 //may tend to yield more balanced trees on the average
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330 //than the weight balanced method.
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331 node_ptr s = x;
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332 std::size_t size = 1;
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333 for(std::size_t ancestor = 1; true; ++ancestor){
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334 if(ancestor == depth){ //Check if whole tree must be rebuilt
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335 max_tree_size = tree_size;
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336 bstree_algo::rebalance_subtree(NodeTraits::get_parent(s));
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337 break;
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338 }
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339 else{ //Go to the next scapegoat candidate
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340 const node_ptr s_parent = NodeTraits::get_parent(s);
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341 const node_ptr s_parent_left = NodeTraits::get_left(s_parent);
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342 //Obtain parent's size (previous size + parent + sibling tree)
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343 const node_ptr s_sibling = s_parent_left == s ? NodeTraits::get_right(s_parent) : s_parent_left;
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344 size += 1 + bstree_algo::subtree_size(s_sibling);
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345 s = s_parent;
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346 if(ancestor > h_alpha(size)){ //is 's' scapegoat?
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347 bstree_algo::rebalance_subtree(s);
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348 break;
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349 }
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350 }
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351 }
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352 }
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353 }
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354 /// @endcond
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355 };
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356
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357 /// @cond
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358
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359 template<class NodeTraits>
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360 struct get_algo<SgTreeAlgorithms, NodeTraits>
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361 {
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362 typedef sgtree_algorithms<NodeTraits> type;
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363 };
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364
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365 /// @endcond
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366
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367 } //namespace intrusive
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368 } //namespace boost
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369
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370 #include <boost/intrusive/detail/config_end.hpp>
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371
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372 #endif //BOOST_INTRUSIVE_SGTREE_ALGORITHMS_HPP
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