755 lines
31 KiB
C++
755 lines
31 KiB
C++
/////////////////////////////////////////////////////////////////////////////
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//
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// (C) Copyright Ion Gaztanaga 2007-2014
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//
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// Distributed under the Boost Software License, Version 1.0.
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// (See accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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//
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// See http://www.boost.org/libs/intrusive for documentation.
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//
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/////////////////////////////////////////////////////////////////////////////
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// The implementation of splay trees is based on the article and code published
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// in C++ Users Journal "Implementing Splay Trees in C++" (September 1, 2005).
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//
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// The splay code has been modified and (supposedly) improved by Ion Gaztanaga.
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//
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// Here is the copyright notice of the original file containing the splay code:
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//
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// splay_tree.h -- implementation of a STL compatible splay tree.
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//
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// Copyright (c) 2004 Ralf Mattethat
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//
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// Permission to copy, use, modify, sell and distribute this software
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// is granted provided this copyright notice appears in all copies.
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// This software is provided "as is" without express or implied
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// warranty, and with no claim as to its suitability for any purpose.
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//
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/////////////////////////////////////////////////////////////////////////////
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#ifndef BOOST_INTRUSIVE_SPLAYTREE_ALGORITHMS_HPP
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#define BOOST_INTRUSIVE_SPLAYTREE_ALGORITHMS_HPP
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#include <boost/intrusive/detail/config_begin.hpp>
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#include <boost/intrusive/intrusive_fwd.hpp>
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#include <boost/intrusive/detail/assert.hpp>
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#include <boost/intrusive/detail/algo_type.hpp>
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#include <boost/intrusive/detail/uncast.hpp>
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#include <boost/intrusive/bstree_algorithms.hpp>
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#include <cstddef>
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#if defined(BOOST_HAS_PRAGMA_ONCE)
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# pragma once
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#endif
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namespace boost {
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namespace intrusive {
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/// @cond
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namespace detail {
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template<class NodeTraits>
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struct splaydown_assemble_and_fix_header
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{
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typedef typename NodeTraits::node_ptr node_ptr;
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splaydown_assemble_and_fix_header(const node_ptr & t, const node_ptr & header, const node_ptr &leftmost, const node_ptr &rightmost)
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: t_(t)
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, null_node_(header)
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, l_(null_node_)
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, r_(null_node_)
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, leftmost_(leftmost)
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, rightmost_(rightmost)
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{}
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~splaydown_assemble_and_fix_header()
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{
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this->assemble();
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//Now recover the original header except for the
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//splayed root node.
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//"t_" is the current root and "null_node_" is the header node
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NodeTraits::set_parent(null_node_, t_);
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NodeTraits::set_parent(t_, null_node_);
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//Recover leftmost/rightmost pointers
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NodeTraits::set_left (null_node_, leftmost_);
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NodeTraits::set_right(null_node_, rightmost_);
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}
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private:
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void assemble()
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{
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//procedure assemble;
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// left(r), right(l) := right(t), left(t);
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// left(t), right(t) := right(null), left(null);
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//end assemble;
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{ // left(r), right(l) := right(t), left(t);
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node_ptr const old_t_left = NodeTraits::get_left(t_);
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node_ptr const old_t_right = NodeTraits::get_right(t_);
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NodeTraits::set_right(l_, old_t_left);
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NodeTraits::set_left (r_, old_t_right);
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if(old_t_left){
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NodeTraits::set_parent(old_t_left, l_);
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}
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if(old_t_right){
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NodeTraits::set_parent(old_t_right, r_);
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}
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}
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{ // left(t), right(t) := right(null), left(null);
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node_ptr const null_right = NodeTraits::get_right(null_node_);
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node_ptr const null_left = NodeTraits::get_left(null_node_);
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NodeTraits::set_left (t_, null_right);
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NodeTraits::set_right(t_, null_left);
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if(null_right){
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NodeTraits::set_parent(null_right, t_);
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}
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if(null_left){
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NodeTraits::set_parent(null_left, t_);
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}
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}
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}
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public:
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node_ptr t_, null_node_, l_, r_, leftmost_, rightmost_;
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};
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} //namespace detail {
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/// @endcond
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//! A splay tree is an implementation of a binary search tree. The tree is
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//! self balancing using the splay algorithm as described in
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//!
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//! "Self-Adjusting Binary Search Trees
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//! by Daniel Dominic Sleator and Robert Endre Tarjan
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//! AT&T Bell Laboratories, Murray Hill, NJ
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//! Journal of the ACM, Vol 32, no 3, July 1985, pp 652-686
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//!
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//! splaytree_algorithms is configured with a NodeTraits class, which encapsulates the
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//! information about the node to be manipulated. NodeTraits must support the
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//! following interface:
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//!
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//! <b>Typedefs</b>:
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//!
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//! <tt>node</tt>: The type of the node that forms the binary search tree
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//!
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//! <tt>node_ptr</tt>: A pointer to a node
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//!
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//! <tt>const_node_ptr</tt>: A pointer to a const node
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//!
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//! <b>Static functions</b>:
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//!
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//! <tt>static node_ptr get_parent(const_node_ptr n);</tt>
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//!
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//! <tt>static void set_parent(node_ptr n, node_ptr parent);</tt>
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//!
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//! <tt>static node_ptr get_left(const_node_ptr n);</tt>
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//!
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//! <tt>static void set_left(node_ptr n, node_ptr left);</tt>
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//!
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//! <tt>static node_ptr get_right(const_node_ptr n);</tt>
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//!
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//! <tt>static void set_right(node_ptr n, node_ptr right);</tt>
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template<class NodeTraits>
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class splaytree_algorithms
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#ifndef BOOST_INTRUSIVE_DOXYGEN_INVOKED
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: public bstree_algorithms<NodeTraits>
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#endif
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{
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/// @cond
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private:
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typedef bstree_algorithms<NodeTraits> bstree_algo;
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/// @endcond
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public:
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typedef typename NodeTraits::node node;
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typedef NodeTraits node_traits;
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typedef typename NodeTraits::node_ptr node_ptr;
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typedef typename NodeTraits::const_node_ptr const_node_ptr;
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//! This type is the information that will be
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//! filled by insert_unique_check
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typedef typename bstree_algo::insert_commit_data insert_commit_data;
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public:
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#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
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//! @copydoc ::boost::intrusive::bstree_algorithms::get_header(const const_node_ptr&)
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static node_ptr get_header(const const_node_ptr & n);
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//! @copydoc ::boost::intrusive::bstree_algorithms::begin_node
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static node_ptr begin_node(const const_node_ptr & header);
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//! @copydoc ::boost::intrusive::bstree_algorithms::end_node
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static node_ptr end_node(const const_node_ptr & header);
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//! @copydoc ::boost::intrusive::bstree_algorithms::swap_tree
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static void swap_tree(const node_ptr & header1, const node_ptr & header2);
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//! @copydoc ::boost::intrusive::bstree_algorithms::swap_nodes(const node_ptr&,const node_ptr&)
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static void swap_nodes(const node_ptr & node1, const node_ptr & node2);
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//! @copydoc ::boost::intrusive::bstree_algorithms::swap_nodes(const node_ptr&,const node_ptr&,const node_ptr&,const node_ptr&)
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static void swap_nodes(const node_ptr & node1, const node_ptr & header1, const node_ptr & node2, const node_ptr & header2);
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//! @copydoc ::boost::intrusive::bstree_algorithms::replace_node(const node_ptr&,const node_ptr&)
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static void replace_node(const node_ptr & node_to_be_replaced, const node_ptr & new_node);
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//! @copydoc ::boost::intrusive::bstree_algorithms::replace_node(const node_ptr&,const node_ptr&,const node_ptr&)
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static void replace_node(const node_ptr & node_to_be_replaced, const node_ptr & header, const node_ptr & new_node);
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//! @copydoc ::boost::intrusive::bstree_algorithms::unlink(const node_ptr&)
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static void unlink(const node_ptr & node);
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//! @copydoc ::boost::intrusive::bstree_algorithms::unlink_leftmost_without_rebalance
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static node_ptr unlink_leftmost_without_rebalance(const node_ptr & header);
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//! @copydoc ::boost::intrusive::bstree_algorithms::unique(const const_node_ptr&)
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static bool unique(const const_node_ptr & node);
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//! @copydoc ::boost::intrusive::bstree_algorithms::size(const const_node_ptr&)
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static std::size_t size(const const_node_ptr & header);
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//! @copydoc ::boost::intrusive::bstree_algorithms::next_node(const node_ptr&)
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static node_ptr next_node(const node_ptr & node);
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//! @copydoc ::boost::intrusive::bstree_algorithms::prev_node(const node_ptr&)
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static node_ptr prev_node(const node_ptr & node);
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//! @copydoc ::boost::intrusive::bstree_algorithms::init(const node_ptr&)
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static void init(const node_ptr & node);
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//! @copydoc ::boost::intrusive::bstree_algorithms::init_header(const node_ptr&)
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static void init_header(const node_ptr & header);
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#endif //#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
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//! @copydoc ::boost::intrusive::bstree_algorithms::erase(const node_ptr&,const node_ptr&)
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//! Additional notes: the previous node of z is splayed to speed up range deletions.
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static void erase(const node_ptr & header, const node_ptr & z)
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{
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//posibility 1
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if(NodeTraits::get_left(z)){
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splay_up(bstree_algo::prev_node(z), header);
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}
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//possibility 2
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//if(NodeTraits::get_left(z)){
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// node_ptr l = NodeTraits::get_left(z);
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// splay_up(l, header);
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//}
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//if(NodeTraits::get_left(z)){
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// node_ptr l = bstree_algo::prev_node(z);
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// splay_up_impl(l, z);
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//}
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//possibility 4
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//splay_up(z, header);
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bstree_algo::erase(header, z);
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}
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//! @copydoc ::boost::intrusive::bstree_algorithms::transfer_unique
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template<class NodePtrCompare>
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static bool transfer_unique
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(const node_ptr & header1, NodePtrCompare comp, const node_ptr &header2, const node_ptr & z)
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{
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typename bstree_algo::insert_commit_data commit_data;
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bool const transferable = bstree_algo::insert_unique_check(header1, z, comp, commit_data).second;
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if(transferable){
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erase(header2, z);
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bstree_algo::insert_commit(header1, z, commit_data);
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splay_up(z, header1);
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}
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return transferable;
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}
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//! @copydoc ::boost::intrusive::bstree_algorithms::transfer_equal
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template<class NodePtrCompare>
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static void transfer_equal
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(const node_ptr & header1, NodePtrCompare comp, const node_ptr &header2, const node_ptr & z)
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{
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insert_commit_data commit_data;
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splay_down(header1, z, comp);
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bstree_algo::insert_equal_upper_bound_check(header1, z, comp, commit_data);
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erase(header2, z);
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bstree_algo::insert_commit(header1, z, commit_data);
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}
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#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
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//! @copydoc ::boost::intrusive::bstree_algorithms::clone(const const_node_ptr&,const node_ptr&,Cloner,Disposer)
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template <class Cloner, class Disposer>
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static void clone
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(const const_node_ptr & source_header, const node_ptr & target_header, Cloner cloner, Disposer disposer);
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//! @copydoc ::boost::intrusive::bstree_algorithms::clear_and_dispose(const node_ptr&,Disposer)
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template<class Disposer>
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static void clear_and_dispose(const node_ptr & header, Disposer disposer);
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#endif //#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
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//! @copydoc ::boost::intrusive::bstree_algorithms::count(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
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//! Additional notes: an element with key `key` is splayed.
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template<class KeyType, class KeyNodePtrCompare>
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static std::size_t count
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(const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
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{
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std::pair<node_ptr, node_ptr> ret = equal_range(header, key, comp);
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std::size_t n = 0;
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while(ret.first != ret.second){
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++n;
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ret.first = next_node(ret.first);
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}
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return n;
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}
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//! @copydoc ::boost::intrusive::bstree_algorithms::count(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
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//! Additional note: no splaying is performed
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template<class KeyType, class KeyNodePtrCompare>
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static std::size_t count
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(const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
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{ return bstree_algo::count(header, key, comp); }
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//! @copydoc ::boost::intrusive::bstree_algorithms::lower_bound(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
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//! Additional notes: the first node of the range is splayed.
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template<class KeyType, class KeyNodePtrCompare>
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static node_ptr lower_bound
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(const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
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{
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splay_down(detail::uncast(header), key, comp);
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node_ptr y = bstree_algo::lower_bound(header, key, comp);
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//splay_up(y, detail::uncast(header));
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return y;
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}
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//! @copydoc ::boost::intrusive::bstree_algorithms::lower_bound(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
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//! Additional note: no splaying is performed
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template<class KeyType, class KeyNodePtrCompare>
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static node_ptr lower_bound
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(const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
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{ return bstree_algo::lower_bound(header, key, comp); }
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//! @copydoc ::boost::intrusive::bstree_algorithms::upper_bound(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
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//! Additional notes: the first node of the range is splayed.
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template<class KeyType, class KeyNodePtrCompare>
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static node_ptr upper_bound
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(const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
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{
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splay_down(detail::uncast(header), key, comp);
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node_ptr y = bstree_algo::upper_bound(header, key, comp);
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//splay_up(y, detail::uncast(header));
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return y;
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}
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//! @copydoc ::boost::intrusive::bstree_algorithms::upper_bound(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
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//! Additional note: no splaying is performed
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template<class KeyType, class KeyNodePtrCompare>
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static node_ptr upper_bound
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(const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
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{ return bstree_algo::upper_bound(header, key, comp); }
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//! @copydoc ::boost::intrusive::bstree_algorithms::find(const const_node_ptr&, const KeyType&,KeyNodePtrCompare)
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//! Additional notes: the found node of the lower bound is splayed.
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template<class KeyType, class KeyNodePtrCompare>
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static node_ptr find
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(const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
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{
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splay_down(detail::uncast(header), key, comp);
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return bstree_algo::find(header, key, comp);
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}
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//! @copydoc ::boost::intrusive::bstree_algorithms::find(const const_node_ptr&, const KeyType&,KeyNodePtrCompare)
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//! Additional note: no splaying is performed
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template<class KeyType, class KeyNodePtrCompare>
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static node_ptr find
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(const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
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{ return bstree_algo::find(header, key, comp); }
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//! @copydoc ::boost::intrusive::bstree_algorithms::equal_range(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
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//! Additional notes: the first node of the range is splayed.
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template<class KeyType, class KeyNodePtrCompare>
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static std::pair<node_ptr, node_ptr> equal_range
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(const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
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{
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splay_down(detail::uncast(header), key, comp);
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std::pair<node_ptr, node_ptr> ret = bstree_algo::equal_range(header, key, comp);
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//splay_up(ret.first, detail::uncast(header));
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return ret;
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}
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//! @copydoc ::boost::intrusive::bstree_algorithms::equal_range(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
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//! Additional note: no splaying is performed
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template<class KeyType, class KeyNodePtrCompare>
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static std::pair<node_ptr, node_ptr> equal_range
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(const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
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{ return bstree_algo::equal_range(header, key, comp); }
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//! @copydoc ::boost::intrusive::bstree_algorithms::lower_bound_range(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
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//! Additional notes: the first node of the range is splayed.
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template<class KeyType, class KeyNodePtrCompare>
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static std::pair<node_ptr, node_ptr> lower_bound_range
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(const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
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{
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splay_down(detail::uncast(header), key, comp);
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std::pair<node_ptr, node_ptr> ret = bstree_algo::lower_bound_range(header, key, comp);
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//splay_up(ret.first, detail::uncast(header));
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return ret;
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}
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//! @copydoc ::boost::intrusive::bstree_algorithms::lower_bound_range(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
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//! Additional note: no splaying is performed
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template<class KeyType, class KeyNodePtrCompare>
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static std::pair<node_ptr, node_ptr> lower_bound_range
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(const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
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{ return bstree_algo::lower_bound_range(header, key, comp); }
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//! @copydoc ::boost::intrusive::bstree_algorithms::bounded_range(const const_node_ptr&,const KeyType&,const KeyType&,KeyNodePtrCompare,bool,bool)
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//! Additional notes: the first node of the range is splayed.
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template<class KeyType, class KeyNodePtrCompare>
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static std::pair<node_ptr, node_ptr> bounded_range
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(const node_ptr & header, const KeyType &lower_key, const KeyType &upper_key, KeyNodePtrCompare comp
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, bool left_closed, bool right_closed)
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{
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splay_down(detail::uncast(header), lower_key, comp);
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std::pair<node_ptr, node_ptr> ret =
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bstree_algo::bounded_range(header, lower_key, upper_key, comp, left_closed, right_closed);
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//splay_up(ret.first, detail::uncast(header));
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return ret;
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}
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//! @copydoc ::boost::intrusive::bstree_algorithms::bounded_range(const const_node_ptr&,const KeyType&,const KeyType&,KeyNodePtrCompare,bool,bool)
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//! Additional note: no splaying is performed
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template<class KeyType, class KeyNodePtrCompare>
|
|
static std::pair<node_ptr, node_ptr> bounded_range
|
|
(const const_node_ptr & header, const KeyType &lower_key, const KeyType &upper_key, KeyNodePtrCompare comp
|
|
, bool left_closed, bool right_closed)
|
|
{ return bstree_algo::bounded_range(header, lower_key, upper_key, comp, left_closed, right_closed); }
|
|
|
|
//! @copydoc ::boost::intrusive::bstree_algorithms::insert_equal_upper_bound(const node_ptr&,const node_ptr&,NodePtrCompare)
|
|
//! Additional note: the inserted node is splayed
|
|
template<class NodePtrCompare>
|
|
static node_ptr insert_equal_upper_bound
|
|
(const node_ptr & header, const node_ptr & new_node, NodePtrCompare comp)
|
|
{
|
|
splay_down(header, new_node, comp);
|
|
return bstree_algo::insert_equal_upper_bound(header, new_node, comp);
|
|
}
|
|
|
|
//! @copydoc ::boost::intrusive::bstree_algorithms::insert_equal_lower_bound(const node_ptr&,const node_ptr&,NodePtrCompare)
|
|
//! Additional note: the inserted node is splayed
|
|
template<class NodePtrCompare>
|
|
static node_ptr insert_equal_lower_bound
|
|
(const node_ptr & header, const node_ptr & new_node, NodePtrCompare comp)
|
|
{
|
|
splay_down(header, new_node, comp);
|
|
return bstree_algo::insert_equal_lower_bound(header, new_node, comp);
|
|
}
|
|
|
|
//! @copydoc ::boost::intrusive::bstree_algorithms::insert_equal(const node_ptr&,const node_ptr&,const node_ptr&,NodePtrCompare)
|
|
//! Additional note: the inserted node is splayed
|
|
template<class NodePtrCompare>
|
|
static node_ptr insert_equal
|
|
(const node_ptr & header, const node_ptr & hint, const node_ptr & new_node, NodePtrCompare comp)
|
|
{
|
|
splay_down(header, new_node, comp);
|
|
return bstree_algo::insert_equal(header, hint, new_node, comp);
|
|
}
|
|
|
|
//! @copydoc ::boost::intrusive::bstree_algorithms::insert_before(const node_ptr&,const node_ptr&,const node_ptr&)
|
|
//! Additional note: the inserted node is splayed
|
|
static node_ptr insert_before
|
|
(const node_ptr & header, const node_ptr & pos, const node_ptr & new_node)
|
|
{
|
|
bstree_algo::insert_before(header, pos, new_node);
|
|
splay_up(new_node, header);
|
|
return new_node;
|
|
}
|
|
|
|
//! @copydoc ::boost::intrusive::bstree_algorithms::push_back(const node_ptr&,const node_ptr&)
|
|
//! Additional note: the inserted node is splayed
|
|
static void push_back(const node_ptr & header, const node_ptr & new_node)
|
|
{
|
|
bstree_algo::push_back(header, new_node);
|
|
splay_up(new_node, header);
|
|
}
|
|
|
|
//! @copydoc ::boost::intrusive::bstree_algorithms::push_front(const node_ptr&,const node_ptr&)
|
|
//! Additional note: the inserted node is splayed
|
|
static void push_front(const node_ptr & header, const node_ptr & new_node)
|
|
{
|
|
bstree_algo::push_front(header, new_node);
|
|
splay_up(new_node, header);
|
|
}
|
|
|
|
//! @copydoc ::boost::intrusive::bstree_algorithms::insert_unique_check(const const_node_ptr&,const KeyType&,KeyNodePtrCompare,insert_commit_data&)
|
|
//! Additional note: nodes with the given key are splayed
|
|
template<class KeyType, class KeyNodePtrCompare>
|
|
static std::pair<node_ptr, bool> insert_unique_check
|
|
(const node_ptr & header, const KeyType &key
|
|
,KeyNodePtrCompare comp, insert_commit_data &commit_data)
|
|
{
|
|
splay_down(header, key, comp);
|
|
return bstree_algo::insert_unique_check(header, key, comp, commit_data);
|
|
}
|
|
|
|
//! @copydoc ::boost::intrusive::bstree_algorithms::insert_unique_check(const const_node_ptr&,const node_ptr&,const KeyType&,KeyNodePtrCompare,insert_commit_data&)
|
|
//! Additional note: nodes with the given key are splayed
|
|
template<class KeyType, class KeyNodePtrCompare>
|
|
static std::pair<node_ptr, bool> insert_unique_check
|
|
(const node_ptr & header, const node_ptr &hint, const KeyType &key
|
|
,KeyNodePtrCompare comp, insert_commit_data &commit_data)
|
|
{
|
|
splay_down(header, key, comp);
|
|
return bstree_algo::insert_unique_check(header, hint, key, comp, commit_data);
|
|
}
|
|
|
|
#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
|
|
//! @copydoc ::boost::intrusive::bstree_algorithms::insert_unique_commit(const node_ptr&,const node_ptr&,const insert_commit_data&)
|
|
static void insert_unique_commit
|
|
(const node_ptr & header, const node_ptr & new_value, const insert_commit_data &commit_data);
|
|
|
|
//! @copydoc ::boost::intrusive::bstree_algorithms::is_header
|
|
static bool is_header(const const_node_ptr & p);
|
|
|
|
//! @copydoc ::boost::intrusive::bstree_algorithms::rebalance
|
|
static void rebalance(const node_ptr & header);
|
|
|
|
//! @copydoc ::boost::intrusive::bstree_algorithms::rebalance_subtree
|
|
static node_ptr rebalance_subtree(const node_ptr & old_root);
|
|
|
|
#endif //#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
|
|
|
|
// bottom-up splay, use data_ as parent for n | complexity : logarithmic | exception : nothrow
|
|
static void splay_up(const node_ptr & node, const node_ptr & header)
|
|
{ priv_splay_up<true>(node, header); }
|
|
|
|
// top-down splay | complexity : logarithmic | exception : strong, note A
|
|
template<class KeyType, class KeyNodePtrCompare>
|
|
static node_ptr splay_down(const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp, bool *pfound = 0)
|
|
{ return priv_splay_down<true>(header, key, comp, pfound); }
|
|
|
|
private:
|
|
|
|
/// @cond
|
|
|
|
// bottom-up splay, use data_ as parent for n | complexity : logarithmic | exception : nothrow
|
|
template<bool SimpleSplay>
|
|
static void priv_splay_up(const node_ptr & node, const node_ptr & header)
|
|
{
|
|
// If (node == header) do a splay for the right most node instead
|
|
// this is to boost performance of equal_range/count on equivalent containers in the case
|
|
// where there are many equal elements at the end
|
|
node_ptr n((node == header) ? NodeTraits::get_right(header) : node);
|
|
node_ptr t(header);
|
|
|
|
if( n == t ) return;
|
|
|
|
for( ;; ){
|
|
node_ptr p(NodeTraits::get_parent(n));
|
|
node_ptr g(NodeTraits::get_parent(p));
|
|
|
|
if( p == t ) break;
|
|
|
|
if( g == t ){
|
|
// zig
|
|
rotate(n);
|
|
}
|
|
else if ((NodeTraits::get_left(p) == n && NodeTraits::get_left(g) == p) ||
|
|
(NodeTraits::get_right(p) == n && NodeTraits::get_right(g) == p) ){
|
|
// zig-zig
|
|
rotate(p);
|
|
rotate(n);
|
|
}
|
|
else {
|
|
// zig-zag
|
|
rotate(n);
|
|
if(!SimpleSplay){
|
|
rotate(n);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
template<bool SimpleSplay, class KeyType, class KeyNodePtrCompare>
|
|
static node_ptr priv_splay_down(const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp, bool *pfound = 0)
|
|
{
|
|
//Most splay tree implementations use a dummy/null node to implement.
|
|
//this function. This has some problems for a generic library like Intrusive:
|
|
//
|
|
// * The node might not have a default constructor.
|
|
// * The default constructor could throw.
|
|
//
|
|
//We already have a header node. Leftmost and rightmost nodes of the tree
|
|
//are not changed when splaying (because the invariants of the tree don't
|
|
//change) We can back up them, use the header as the null node and
|
|
//reassign old values after the function has been completed.
|
|
node_ptr const old_root = NodeTraits::get_parent(header);
|
|
node_ptr const leftmost = NodeTraits::get_left(header);
|
|
node_ptr const rightmost = NodeTraits::get_right(header);
|
|
if(leftmost == rightmost){ //Empty or unique node
|
|
if(pfound){
|
|
*pfound = old_root && !comp(key, old_root) && !comp(old_root, key);
|
|
}
|
|
return old_root ? old_root : header;
|
|
}
|
|
else{
|
|
//Initialize "null node" (the header in our case)
|
|
NodeTraits::set_left (header, node_ptr());
|
|
NodeTraits::set_right(header, node_ptr());
|
|
//Class that will backup leftmost/rightmost from header, commit the assemble(),
|
|
//and will restore leftmost/rightmost to header even if "comp" throws
|
|
detail::splaydown_assemble_and_fix_header<NodeTraits> commit(old_root, header, leftmost, rightmost);
|
|
bool found = false;
|
|
|
|
for( ;; ){
|
|
if(comp(key, commit.t_)){
|
|
node_ptr const t_left = NodeTraits::get_left(commit.t_);
|
|
if(!t_left)
|
|
break;
|
|
if(comp(key, t_left)){
|
|
bstree_algo::rotate_right_no_parent_fix(commit.t_, t_left);
|
|
commit.t_ = t_left;
|
|
if( !NodeTraits::get_left(commit.t_) )
|
|
break;
|
|
link_right(commit.t_, commit.r_);
|
|
}
|
|
else{
|
|
link_right(commit.t_, commit.r_);
|
|
if(!SimpleSplay && comp(t_left, key)){
|
|
if( !NodeTraits::get_right(commit.t_) )
|
|
break;
|
|
link_left(commit.t_, commit.l_);
|
|
}
|
|
}
|
|
}
|
|
else if(comp(commit.t_, key)){
|
|
node_ptr const t_right = NodeTraits::get_right(commit.t_);
|
|
if(!t_right)
|
|
break;
|
|
|
|
if(comp(t_right, key)){
|
|
bstree_algo::rotate_left_no_parent_fix(commit.t_, t_right);
|
|
commit.t_ = t_right;
|
|
if( !NodeTraits::get_right(commit.t_) )
|
|
break;
|
|
link_left(commit.t_, commit.l_);
|
|
}
|
|
else{
|
|
link_left(commit.t_, commit.l_);
|
|
if(!SimpleSplay && comp(key, t_right)){
|
|
if( !NodeTraits::get_left(commit.t_) )
|
|
break;
|
|
link_right(commit.t_, commit.r_);
|
|
}
|
|
}
|
|
}
|
|
else{
|
|
found = true;
|
|
break;
|
|
}
|
|
}
|
|
|
|
//commit.~splaydown_assemble_and_fix_header<NodeTraits>() will first
|
|
//"assemble()" + link the new root & recover header's leftmost & rightmost
|
|
if(pfound){
|
|
*pfound = found;
|
|
}
|
|
return commit.t_;
|
|
}
|
|
}
|
|
|
|
// break link to left child node and attach it to left tree pointed to by l | complexity : constant | exception : nothrow
|
|
static void link_left(node_ptr & t, node_ptr & l)
|
|
{
|
|
//procedure link_left;
|
|
// t, l, right(l) := right(t), t, t
|
|
//end link_left
|
|
NodeTraits::set_right(l, t);
|
|
NodeTraits::set_parent(t, l);
|
|
l = t;
|
|
t = NodeTraits::get_right(t);
|
|
}
|
|
|
|
// break link to right child node and attach it to right tree pointed to by r | complexity : constant | exception : nothrow
|
|
static void link_right(node_ptr & t, node_ptr & r)
|
|
{
|
|
//procedure link_right;
|
|
// t, r, left(r) := left(t), t, t
|
|
//end link_right;
|
|
NodeTraits::set_left(r, t);
|
|
NodeTraits::set_parent(t, r);
|
|
r = t;
|
|
t = NodeTraits::get_left(t);
|
|
}
|
|
|
|
// rotate n with its parent | complexity : constant | exception : nothrow
|
|
static void rotate(const node_ptr & n)
|
|
{
|
|
//procedure rotate_left;
|
|
// t, right(t), left(right(t)) := right(t), left(right(t)), t
|
|
//end rotate_left;
|
|
node_ptr p = NodeTraits::get_parent(n);
|
|
node_ptr g = NodeTraits::get_parent(p);
|
|
//Test if g is header before breaking tree
|
|
//invariants that would make is_header invalid
|
|
bool g_is_header = bstree_algo::is_header(g);
|
|
|
|
if(NodeTraits::get_left(p) == n){
|
|
NodeTraits::set_left(p, NodeTraits::get_right(n));
|
|
if(NodeTraits::get_left(p))
|
|
NodeTraits::set_parent(NodeTraits::get_left(p), p);
|
|
NodeTraits::set_right(n, p);
|
|
}
|
|
else{ // must be ( p->right == n )
|
|
NodeTraits::set_right(p, NodeTraits::get_left(n));
|
|
if(NodeTraits::get_right(p))
|
|
NodeTraits::set_parent(NodeTraits::get_right(p), p);
|
|
NodeTraits::set_left(n, p);
|
|
}
|
|
|
|
NodeTraits::set_parent(p, n);
|
|
NodeTraits::set_parent(n, g);
|
|
|
|
if(g_is_header){
|
|
if(NodeTraits::get_parent(g) == p)
|
|
NodeTraits::set_parent(g, n);
|
|
else{//must be ( g->right == p )
|
|
BOOST_INTRUSIVE_INVARIANT_ASSERT(false);
|
|
NodeTraits::set_right(g, n);
|
|
}
|
|
}
|
|
else{
|
|
if(NodeTraits::get_left(g) == p)
|
|
NodeTraits::set_left(g, n);
|
|
else //must be ( g->right == p )
|
|
NodeTraits::set_right(g, n);
|
|
}
|
|
}
|
|
|
|
/// @endcond
|
|
};
|
|
|
|
/// @cond
|
|
|
|
template<class NodeTraits>
|
|
struct get_algo<SplayTreeAlgorithms, NodeTraits>
|
|
{
|
|
typedef splaytree_algorithms<NodeTraits> type;
|
|
};
|
|
|
|
template <class ValueTraits, class NodePtrCompare, class ExtraChecker>
|
|
struct get_node_checker<SplayTreeAlgorithms, ValueTraits, NodePtrCompare, ExtraChecker>
|
|
{
|
|
typedef detail::bstree_node_checker<ValueTraits, NodePtrCompare, ExtraChecker> type;
|
|
};
|
|
|
|
/// @endcond
|
|
|
|
} //namespace intrusive
|
|
} //namespace boost
|
|
|
|
#include <boost/intrusive/detail/config_end.hpp>
|
|
|
|
#endif //BOOST_INTRUSIVE_SPLAYTREE_ALGORITHMS_HPP
|