diff DEPENDENCIES/generic/include/boost/intrusive/splaytree_algorithms.hpp @ 16:2665513ce2d3

Add boost headers
author Chris Cannam
date Tue, 05 Aug 2014 11:11:38 +0100
parents
children c530137014c0
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/DEPENDENCIES/generic/include/boost/intrusive/splaytree_algorithms.hpp	Tue Aug 05 11:11:38 2014 +0100
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+/////////////////////////////////////////////////////////////////////////////
+//
+// (C) Copyright Ion Gaztanaga  2007-2013
+//
+// Distributed under the Boost Software License, Version 1.0.
+//    (See accompanying file LICENSE_1_0.txt or copy at
+//          http://www.boost.org/LICENSE_1_0.txt)
+//
+// See http://www.boost.org/libs/intrusive for documentation.
+//
+/////////////////////////////////////////////////////////////////////////////
+// The implementation of splay trees is based on the article and code published
+// in C++ Users Journal "Implementing Splay Trees in C++" (September 1, 2005).
+//
+// The splay code has been modified and (supposedly) improved by Ion Gaztanaga.
+//
+// Here is the copyright notice of the original file containing the splay code:
+//
+//  splay_tree.h -- implementation of a STL compatible splay tree.
+//
+//  Copyright (c) 2004 Ralf Mattethat
+//
+//  Permission to copy, use, modify, sell and distribute this software
+//  is granted provided this copyright notice appears in all copies.
+//  This software is provided "as is" without express or implied
+//  warranty, and with no claim as to its suitability for any purpose.
+//
+/////////////////////////////////////////////////////////////////////////////
+
+#ifndef BOOST_INTRUSIVE_SPLAYTREE_ALGORITHMS_HPP
+#define BOOST_INTRUSIVE_SPLAYTREE_ALGORITHMS_HPP
+
+#include <boost/intrusive/detail/config_begin.hpp>
+#include <boost/intrusive/detail/assert.hpp>
+#include <boost/intrusive/intrusive_fwd.hpp>
+#include <boost/intrusive/pointer_traits.hpp>
+#include <cstddef>
+#include <boost/intrusive/detail/utilities.hpp>
+#include <boost/intrusive/bstree_algorithms.hpp>
+
+namespace boost {
+namespace intrusive {
+
+/// @cond
+namespace detail {
+
+template<class NodeTraits>
+struct splaydown_rollback
+{
+   typedef typename NodeTraits::node_ptr node_ptr;
+   splaydown_rollback( const node_ptr *pcur_subtree, const node_ptr & header
+                     , const node_ptr & leftmost           , const node_ptr & rightmost)
+      : pcur_subtree_(pcur_subtree)  , header_(header)
+      , leftmost_(leftmost)   , rightmost_(rightmost)
+   {}
+
+   void release()
+   {  pcur_subtree_ = 0;  }
+
+   ~splaydown_rollback()
+   {
+      if(pcur_subtree_){
+         //Exception can only be thrown by comp, but
+         //tree invariants still hold. *pcur_subtree is the current root
+         //so link it to the header.
+         NodeTraits::set_parent(*pcur_subtree_, header_);
+         NodeTraits::set_parent(header_, *pcur_subtree_);
+         //Recover leftmost/rightmost pointers
+         NodeTraits::set_left (header_, leftmost_);
+         NodeTraits::set_right(header_, rightmost_);
+      }
+   }
+   const node_ptr *pcur_subtree_;
+   node_ptr header_, leftmost_, rightmost_;
+};
+
+}  //namespace detail {
+/// @endcond
+
+//!   A splay tree is an implementation of a binary search tree. The tree is
+//!   self balancing using the splay algorithm as described in
+//!
+//!      "Self-Adjusting Binary Search Trees
+//!      by Daniel Dominic Sleator and Robert Endre Tarjan
+//!      AT&T Bell Laboratories, Murray Hill, NJ
+//!      Journal of the ACM, Vol 32, no 3, July 1985, pp 652-686
+//!
+//! splaytree_algorithms is configured with a NodeTraits class, which encapsulates the
+//! information about the node to be manipulated. NodeTraits must support the
+//! following interface:
+//!
+//! <b>Typedefs</b>:
+//!
+//! <tt>node</tt>: The type of the node that forms the binary search tree
+//!
+//! <tt>node_ptr</tt>: A pointer to a node
+//!
+//! <tt>const_node_ptr</tt>: A pointer to a const node
+//!
+//! <b>Static functions</b>:
+//!
+//! <tt>static node_ptr get_parent(const_node_ptr n);</tt>
+//!
+//! <tt>static void set_parent(node_ptr n, node_ptr parent);</tt>
+//!
+//! <tt>static node_ptr get_left(const_node_ptr n);</tt>
+//!
+//! <tt>static void set_left(node_ptr n, node_ptr left);</tt>
+//!
+//! <tt>static node_ptr get_right(const_node_ptr n);</tt>
+//!
+//! <tt>static void set_right(node_ptr n, node_ptr right);</tt>
+template<class NodeTraits>
+class splaytree_algorithms
+   #ifndef BOOST_INTRUSIVE_DOXYGEN_INVOKED
+   : public bstree_algorithms<NodeTraits>
+   #endif
+{
+   /// @cond
+   private:
+   typedef bstree_algorithms<NodeTraits> bstree_algo;
+   /// @endcond
+
+   public:
+   typedef typename NodeTraits::node            node;
+   typedef NodeTraits                           node_traits;
+   typedef typename NodeTraits::node_ptr        node_ptr;
+   typedef typename NodeTraits::const_node_ptr  const_node_ptr;
+
+   //! This type is the information that will be
+   //! filled by insert_unique_check
+   typedef typename bstree_algo::insert_commit_data insert_commit_data;
+
+   public:
+   #ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
+   //! @copydoc ::boost::intrusive::bstree_algorithms::get_header(const const_node_ptr&)
+   static node_ptr get_header(const const_node_ptr & n);
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::begin_node
+   static node_ptr begin_node(const const_node_ptr & header);
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::end_node
+   static node_ptr end_node(const const_node_ptr & header);
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::swap_tree
+   static void swap_tree(const node_ptr & header1, const node_ptr & header2);
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::swap_nodes(const node_ptr&,const node_ptr&)
+   static void swap_nodes(const node_ptr & node1, const node_ptr & node2);
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::swap_nodes(const node_ptr&,const node_ptr&,const node_ptr&,const node_ptr&)
+   static void swap_nodes(const node_ptr & node1, const node_ptr & header1, const node_ptr & node2, const node_ptr & header2);
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::replace_node(const node_ptr&,const node_ptr&)
+   static void replace_node(const node_ptr & node_to_be_replaced, const node_ptr & new_node);
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::replace_node(const node_ptr&,const node_ptr&,const node_ptr&)
+   static void replace_node(const node_ptr & node_to_be_replaced, const node_ptr & header, const node_ptr & new_node);
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::unlink(const node_ptr&)
+   static void unlink(const node_ptr & node);
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::unlink_leftmost_without_rebalance
+   static node_ptr unlink_leftmost_without_rebalance(const node_ptr & header);
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::unique(const const_node_ptr&)
+   static bool unique(const const_node_ptr & node);
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::size(const const_node_ptr&)
+   static std::size_t size(const const_node_ptr & header);
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::next_node(const node_ptr&)
+   static node_ptr next_node(const node_ptr & node);
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::prev_node(const node_ptr&)
+   static node_ptr prev_node(const node_ptr & node);
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::init(const node_ptr&)
+   static void init(const node_ptr & node);
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::init_header(const node_ptr&)
+   static void init_header(const node_ptr & header);
+   
+   #endif   //#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::erase(const node_ptr&,const node_ptr&)
+   //! Additional notes: the previous node of z is splayed. The "splay" parameter which indicated if splaying
+   //! should be performed, it's deprecated and will disappear in future versions.
+   static void erase(const node_ptr & header, const node_ptr & z, bool splay = true)
+   {
+      //posibility 1
+      if(splay && NodeTraits::get_left(z)){
+         splay_up(bstree_algo::prev_node(z), header);
+      }
+      /*
+      //possibility 2
+      if(splay && NodeTraits::get_left(z)){
+         node_ptr l = NodeTraits::get_left(z);
+         splay_up(l, header);
+      }*//*
+      if(splay && NodeTraits::get_left(z)){
+         node_ptr l = bstree_algo::prev_node(z);
+         splay_up_impl(l, z);
+      }*/
+      /*
+      //possibility 4
+      if(splay){
+         splay_up(z, header);
+      }*/
+
+      //if(splay)
+         //splay_up(z, header);
+      bstree_algo::erase(header, z);
+   }
+
+   #ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
+   //! @copydoc ::boost::intrusive::bstree_algorithms::clone(const const_node_ptr&,const node_ptr&,Cloner,Disposer)
+   template <class Cloner, class Disposer>
+   static void clone
+      (const const_node_ptr & source_header, const node_ptr & target_header, Cloner cloner, Disposer disposer);
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::clear_and_dispose(const node_ptr&,Disposer)
+   template<class Disposer>
+   static void clear_and_dispose(const node_ptr & header, Disposer disposer);
+
+   #endif   //#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
+   //! @copydoc ::boost::intrusive::bstree_algorithms::count(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
+   //! Additional notes: the first node of the range is splayed.
+   template<class KeyType, class KeyNodePtrCompare>
+   static std::size_t count
+      (const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
+   {
+      std::pair<node_ptr, node_ptr> ret = equal_range(header, key, comp);
+      std::size_t n = 0;
+      while(ret.first != ret.second){
+         ++n;
+         ret.first = next_node(ret.first);
+      }
+      return n;
+   }
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::count(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
+   //! Additional note: no splaying is performed
+   template<class KeyType, class KeyNodePtrCompare>
+   static std::size_t count
+      (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
+   {  return bstree_algo::count(header, key, comp);  }
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::lower_bound(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
+   //! Additional notes: the first node of the range is splayed. The "splay" parameter which indicated if splaying
+   //! should be performed, it's deprecated and will disappear in future versions.
+   template<class KeyType, class KeyNodePtrCompare>
+   static node_ptr lower_bound
+      (const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp, bool splay = true)
+   {
+      //splay_down(detail::uncast(header), key, comp);
+      node_ptr y = bstree_algo::lower_bound(header, key, comp);
+      if(splay) splay_up(y, detail::uncast(header));
+      return y;
+   }
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::lower_bound(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
+   //! Additional note: no splaying is performed
+   template<class KeyType, class KeyNodePtrCompare>
+   static node_ptr lower_bound
+      (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
+   {  return bstree_algo::lower_bound(header, key, comp);  }
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::upper_bound(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
+   //! Additional notes: the first node of the range is splayed. The "splay" parameter which indicated if splaying
+   //! should be performed, it's deprecated and will disappear in future versions.
+   template<class KeyType, class KeyNodePtrCompare>
+   static node_ptr upper_bound
+      (const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp, bool splay = true)
+   {
+      //splay_down(detail::uncast(header), key, comp);
+      node_ptr y = bstree_algo::upper_bound(header, key, comp);
+      if(splay) splay_up(y, detail::uncast(header));
+      return y;
+   }
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::upper_bound(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
+   //! Additional note: no splaying is performed
+   template<class KeyType, class KeyNodePtrCompare>
+   static node_ptr upper_bound
+      (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
+   {  return bstree_algo::upper_bound(header, key, comp);  }
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::find(const const_node_ptr&, const KeyType&,KeyNodePtrCompare)
+   //! Additional notes: the found node of the lower bound is splayed. The "splay" parameter which indicated if splaying
+   //! should be performed, it's deprecated and will disappear in future versions.
+   template<class KeyType, class KeyNodePtrCompare>
+   static node_ptr find
+      (const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp, bool splay = true)
+   {
+      if(splay) splay_down(detail::uncast(header), key, comp);
+      node_ptr end = detail::uncast(header);
+      node_ptr y = bstree_algo::lower_bound(header, key, comp);
+      node_ptr r = (y == end || comp(key, y)) ? end : y;
+      return r;
+   }
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::find(const const_node_ptr&, const KeyType&,KeyNodePtrCompare)
+   //! Additional note: no splaying is performed
+   template<class KeyType, class KeyNodePtrCompare>
+   static node_ptr find
+      (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
+   {  return bstree_algo::find(header, key, comp);  }
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::equal_range(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
+   //! Additional notes: the first node of the range is splayed. The "splay" parameter which indicated if splaying
+   //! should be performed, it's deprecated and will disappear in future versions.
+   template<class KeyType, class KeyNodePtrCompare>
+   static std::pair<node_ptr, node_ptr> equal_range
+      (const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp, bool splay = true)
+   {
+      //splay_down(detail::uncast(header), key, comp);
+      std::pair<node_ptr, node_ptr> ret = bstree_algo::equal_range(header, key, comp);
+      if(splay) splay_up(ret.first, detail::uncast(header));
+      return ret;
+   }
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::equal_range(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
+   //! Additional note: no splaying is performed
+   template<class KeyType, class KeyNodePtrCompare>
+   static std::pair<node_ptr, node_ptr> equal_range
+      (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
+   {  return bstree_algo::equal_range(header, key, comp);  }
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::bounded_range(const const_node_ptr&,const KeyType&,const KeyType&,KeyNodePtrCompare,bool,bool)
+   //! Additional notes: the first node of the range is splayed. The "splay" parameter which indicated if splaying
+   //! should be performed, it's deprecated and will disappear in future versions.
+   template<class KeyType, class KeyNodePtrCompare>
+   static std::pair<node_ptr, node_ptr> bounded_range
+      (const node_ptr & header, const KeyType &lower_key, const KeyType &upper_key, KeyNodePtrCompare comp
+      , bool left_closed, bool right_closed, bool splay = true)
+   {
+      std::pair<node_ptr, node_ptr> ret =
+         bstree_algo::bounded_range(header, lower_key, upper_key, comp, left_closed, right_closed);
+      if(splay) splay_up(ret.first, detail::uncast(header));
+      return ret;
+   }
+
+   //! @copydoc ::boost::intrusive::bstree_algorithms::bounded_range(const const_node_ptr&,const KeyType&,const KeyType&,KeyNodePtrCompare,bool,bool)
+   //! Additional note: no splaying is performed
+   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)
+   {
+      // 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);
+            rotate(n);
+         }
+      }
+   }
+
+   // 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)
+   {
+      if(!NodeTraits::get_parent(header))
+         return header;
+      //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 t = NodeTraits::get_parent(header);
+      //Check if tree has a single node
+      if(!NodeTraits::get_left(t) && !NodeTraits::get_right(t))
+         return t;
+      //Backup leftmost/rightmost
+      node_ptr leftmost (NodeTraits::get_left(header));
+      node_ptr rightmost(NodeTraits::get_right(header));
+      {
+         //Anti-exception rollback, recovers the original header node if an exception is thrown.
+         detail::splaydown_rollback<NodeTraits> rollback(&t, header, leftmost, rightmost);
+         node_ptr null_node = header;
+         node_ptr l = null_node;
+         node_ptr r = null_node;
+
+         for( ;; ){
+            if(comp(key, t)){
+               if(NodeTraits::get_left(t) == node_ptr() )
+                  break;
+               if(comp(key, NodeTraits::get_left(t))){
+                  t = bstree_algo::rotate_right(t);
+
+                  if(NodeTraits::get_left(t) == node_ptr())
+                     break;
+                  link_right(t, r);
+               }
+               else if(comp(NodeTraits::get_left(t), key)){
+                  link_right(t, r);
+
+                  if(NodeTraits::get_right(t) == node_ptr() )
+                     break;
+                  link_left(t, l);
+               }
+               else{
+                  link_right(t, r);
+               }
+            }
+            else if(comp(t, key)){
+               if(NodeTraits::get_right(t) == node_ptr() )
+                  break;
+
+               if(comp(NodeTraits::get_right(t), key)){
+                     t = bstree_algo::rotate_left( t );
+
+                     if(NodeTraits::get_right(t) == node_ptr() )
+                        break;
+                     link_left(t, l);
+               }
+               else if(comp(key, NodeTraits::get_right(t))){
+                  link_left(t, l);
+
+                  if(NodeTraits::get_left(t) == node_ptr())
+                     break;
+
+                  link_right(t, r);
+               }
+               else{
+                  link_left(t, l);
+               }
+            }
+            else{
+               break;
+            }
+         }
+
+         assemble(t, l, r, null_node);
+         rollback.release();
+      }
+
+      //Now recover the original header except for the
+      //splayed root node.
+      //t is the current root
+      NodeTraits::set_parent(header, t);
+      NodeTraits::set_parent(t, header);
+      //Recover leftmost/rightmost pointers
+      NodeTraits::set_left (header, leftmost);
+      NodeTraits::set_right(header, rightmost);
+      return t;
+   }
+
+   private:
+
+   /// @cond
+
+   // assemble the three sub-trees into new tree pointed to by t    | complexity : constant        | exception : nothrow
+   static void assemble(const node_ptr &t, const node_ptr & l, const node_ptr & r, const const_node_ptr & null_node )
+   {
+      NodeTraits::set_right(l, NodeTraits::get_left(t));
+      NodeTraits::set_left(r, NodeTraits::get_right(t));
+
+      if(NodeTraits::get_right(l) != node_ptr()){
+         NodeTraits::set_parent(NodeTraits::get_right(l), l);
+      }
+
+      if(NodeTraits::get_left(r) != node_ptr()){
+         NodeTraits::set_parent(NodeTraits::get_left(r), r);
+      }
+
+      NodeTraits::set_left (t, NodeTraits::get_right(null_node));
+      NodeTraits::set_right(t, NodeTraits::get_left(null_node));
+
+      if( NodeTraits::get_left(t) != node_ptr() ){
+         NodeTraits::set_parent(NodeTraits::get_left(t), t);
+      }
+
+      if( NodeTraits::get_right(t) ){
+         NodeTraits::set_parent(NodeTraits::get_right(t), 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)
+   {
+      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)
+   {
+      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)
+   {
+      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) != node_ptr())
+            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) != node_ptr())
+            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;
+};
+
+/// @endcond
+
+} //namespace intrusive
+} //namespace boost
+
+#include <boost/intrusive/detail/config_end.hpp>
+
+#endif //BOOST_INTRUSIVE_SPLAYTREE_ALGORITHMS_HPP