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Editing: bstree.hpp

/////////////////////////////////////////////////////////////////////////////
//
// (C) Copyright Ion Gaztanaga  2013-2014
//
// 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.
//
/////////////////////////////////////////////////////////////////////////////
#ifndef BOOST_INTRUSIVE_BSTREE_HPP
#define BOOST_INTRUSIVE_BSTREE_HPP

#include <boost/intrusive/detail/config_begin.hpp>
#include <boost/intrusive/intrusive_fwd.hpp>

#include <boost/intrusive/detail/assert.hpp>
#include <boost/static_assert.hpp>
#include <boost/intrusive/intrusive_fwd.hpp>
#include <boost/intrusive/bs_set_hook.hpp>
#include <boost/intrusive/detail/tree_node.hpp>
#include <boost/intrusive/detail/tree_iterator.hpp>
#include <boost/intrusive/detail/ebo_functor_holder.hpp>
#include <boost/intrusive/detail/mpl.hpp>
#include <boost/intrusive/pointer_traits.hpp>
#include <boost/intrusive/detail/is_stateful_value_traits.hpp>
#include <boost/intrusive/detail/empty_node_checker.hpp>
#include <boost/intrusive/detail/default_header_holder.hpp>
#include <boost/intrusive/detail/reverse_iterator.hpp>
#include <boost/intrusive/detail/exception_disposer.hpp>
#include <boost/intrusive/detail/node_cloner_disposer.hpp>
#include <boost/intrusive/detail/key_nodeptr_comp.hpp>
#include <boost/intrusive/detail/simple_disposers.hpp>
#include <boost/intrusive/detail/size_holder.hpp>
#include <boost/intrusive/detail/algo_type.hpp>
#include <boost/intrusive/detail/algorithm.hpp>
#include <boost/intrusive/detail/tree_value_compare.hpp>

#include <boost/intrusive/detail/get_value_traits.hpp>
#include <boost/intrusive/bstree_algorithms.hpp>
#include <boost/intrusive/link_mode.hpp>
#include <boost/intrusive/parent_from_member.hpp>
#include <boost/move/utility_core.hpp>
#include <boost/move/adl_move_swap.hpp>

#include <boost/intrusive/detail/minimal_pair_header.hpp>
#include <cstddef> //size_t...
#include <boost/intrusive/detail/minimal_less_equal_header.hpp>//less, equal_to

#if defined(BOOST_HAS_PRAGMA_ONCE)
#  pragma once
#endif

namespace boost {
namespace intrusive {

/// @cond

struct default_bstree_hook_applier
{ template <class T> struct apply{ typedef typename T::default_bstree_hook type; }; };

template<>
struct is_default_hook_tag<default_bstree_hook_applier>
{ static const bool value = true; };

struct bstree_defaults
{
   typedef default_bstree_hook_applier proto_value_traits;
   static const bool constant_time_size = true;
   typedef std::size_t size_type;
   typedef void compare;
   typedef void key_of_value;
   static const bool floating_point = true;  //For sgtree
   typedef void priority;  //For treap
   typedef void header_holder_type;
};

template<class ValueTraits, algo_types AlgoType, typename HeaderHolder>
struct bstbase3
{
 typedef ValueTraits value_traits;
 typedef typename value_traits::node_traits node_traits;
 typedef typename node_traits::node node_type;
 typedef typename get_algo<AlgoType, node_traits>::type node_algorithms;
 typedef typename node_traits::node_ptr node_ptr;
 typedef typename node_traits::const_node_ptr const_node_ptr;
 typedef tree_iterator<value_traits, false> iterator;
 typedef tree_iterator<value_traits, true> const_iterator;
 typedef boost::intrusive::reverse_iterator<iterator> reverse_iterator;
 typedef boost::intrusive::reverse_iterator<const_iterator> const_reverse_iterator;
 typedef BOOST_INTRUSIVE_IMPDEF(typename value_traits::pointer) pointer;
 typedef BOOST_INTRUSIVE_IMPDEF(typename value_traits::const_pointer) const_pointer;
 typedef BOOST_INTRUSIVE_IMPDEF(typename pointer_traits<pointer>::element_type) value_type;
 typedef BOOST_INTRUSIVE_IMPDEF(typename pointer_traits<pointer>::reference) reference;
 typedef BOOST_INTRUSIVE_IMPDEF(typename pointer_traits<const_pointer>::reference) const_reference;
 typedef BOOST_INTRUSIVE_IMPDEF(typename pointer_traits<const_pointer>::difference_type) difference_type;
 typedef typename detail::get_header_holder_type
 < value_traits,HeaderHolder >::type header_holder_type;

static const bool safemode_or_autounlink = is_safe_autounlink<value_traits::link_mode>::value;
 static const bool stateful_value_traits = detail::is_stateful_value_traits<value_traits>::value;
 static const bool has_container_from_iterator =
 detail::is_same< header_holder_type, detail::default_header_holder< node_traits > >::value;

struct holder_t : public ValueTraits
   {
      BOOST_INTRUSIVE_FORCEINLINE explicit holder_t(const ValueTraits &vtraits)
         : ValueTraits(vtraits)
      {}
      header_holder_type root;
   } holder;

static bstbase3 &get_tree_base_from_end_iterator(const const_iterator &end_iterator)
 {
 BOOST_STATIC_ASSERT(has_container_from_iterator);
 node_ptr p = end_iterator.pointed_node();
 header_holder_type* h = header_holder_type::get_holder(p);
 holder_t *holder = get_parent_from_member<holder_t, header_holder_type>(h, &holder_t::root);
 bstbase3 *base = get_parent_from_member<bstbase3, holder_t> (holder, &bstbase3::holder);
 return *base;
 }

BOOST_INTRUSIVE_FORCEINLINE bstbase3(const ValueTraits &vtraits)
      : holder(vtraits)
   {
      node_algorithms::init_header(this->header_ptr());
   }

BOOST_INTRUSIVE_FORCEINLINE node_ptr header_ptr()
   { return holder.root.get_node(); }

BOOST_INTRUSIVE_FORCEINLINE const_node_ptr header_ptr() const
   { return holder.root.get_node(); }

BOOST_INTRUSIVE_FORCEINLINE const value_traits &get_value_traits() const
   {  return this->holder;  }

BOOST_INTRUSIVE_FORCEINLINE value_traits &get_value_traits()
   {  return this->holder;  }

typedef typename boost::intrusive::value_traits_pointers
 <ValueTraits>::const_value_traits_ptr const_value_traits_ptr;

BOOST_INTRUSIVE_FORCEINLINE const_value_traits_ptr priv_value_traits_ptr() const
 { return pointer_traits<const_value_traits_ptr>::pointer_to(this->get_value_traits()); }

iterator begin()
   {  return iterator(node_algorithms::begin_node(this->header_ptr()), this->priv_value_traits_ptr());   }

BOOST_INTRUSIVE_FORCEINLINE const_iterator begin() const
   {  return cbegin();   }

const_iterator cbegin() const
   {  return const_iterator(node_algorithms::begin_node(this->header_ptr()), this->priv_value_traits_ptr());   }

iterator end()
   {  return iterator(node_algorithms::end_node(this->header_ptr()), this->priv_value_traits_ptr());   }

BOOST_INTRUSIVE_FORCEINLINE const_iterator end() const
   {  return cend();  }

BOOST_INTRUSIVE_FORCEINLINE const_iterator cend() const
   {  return const_iterator(node_algorithms::end_node(this->header_ptr()), this->priv_value_traits_ptr());   }

BOOST_INTRUSIVE_FORCEINLINE iterator root()
   {  return iterator(node_algorithms::root_node(this->header_ptr()), this->priv_value_traits_ptr());   }

BOOST_INTRUSIVE_FORCEINLINE const_iterator root() const
   {  return croot();   }

BOOST_INTRUSIVE_FORCEINLINE const_iterator croot() const
   {  return const_iterator(node_algorithms::root_node(this->header_ptr()), this->priv_value_traits_ptr());   }

BOOST_INTRUSIVE_FORCEINLINE reverse_iterator rbegin()
   {  return reverse_iterator(end());  }

BOOST_INTRUSIVE_FORCEINLINE const_reverse_iterator rbegin() const
   {  return const_reverse_iterator(end());  }

BOOST_INTRUSIVE_FORCEINLINE const_reverse_iterator crbegin() const
   {  return const_reverse_iterator(end());  }

BOOST_INTRUSIVE_FORCEINLINE reverse_iterator rend()
   {  return reverse_iterator(begin());   }

BOOST_INTRUSIVE_FORCEINLINE const_reverse_iterator rend() const
   {  return const_reverse_iterator(begin());   }

BOOST_INTRUSIVE_FORCEINLINE const_reverse_iterator crend() const
   {  return const_reverse_iterator(begin());   }

void replace_node(iterator replace_this, reference with_this)
   {
      node_algorithms::replace_node( get_value_traits().to_node_ptr(*replace_this)
                                   , this->header_ptr()
                                   , get_value_traits().to_node_ptr(with_this));
      if(safemode_or_autounlink)
         node_algorithms::init(replace_this.pointed_node());
   }

BOOST_INTRUSIVE_FORCEINLINE void rebalance()
   {  node_algorithms::rebalance(this->header_ptr()); }

iterator rebalance_subtree(iterator root)
   {  return iterator(node_algorithms::rebalance_subtree(root.pointed_node()), this->priv_value_traits_ptr()); }

static iterator s_iterator_to(reference value)
   {
      BOOST_STATIC_ASSERT((!stateful_value_traits));
      return iterator (value_traits::to_node_ptr(value), const_value_traits_ptr());
   }

static const_iterator s_iterator_to(const_reference value)
 {
 BOOST_STATIC_ASSERT((!stateful_value_traits));
 return const_iterator (value_traits::to_node_ptr(*pointer_traits<pointer>::const_cast_from(pointer_traits<const_pointer>::pointer_to(value))), const_value_traits_ptr());
 }

iterator iterator_to(reference value)
   {  return iterator (this->get_value_traits().to_node_ptr(value), this->priv_value_traits_ptr()); }

const_iterator iterator_to(const_reference value) const
 { return const_iterator (this->get_value_traits().to_node_ptr(*pointer_traits<pointer>::const_cast_from(pointer_traits<const_pointer>::pointer_to(value))), this->priv_value_traits_ptr()); }

BOOST_INTRUSIVE_FORCEINLINE static void init_node(reference value)
   { node_algorithms::init(value_traits::to_node_ptr(value)); }

};

template<class Less, class T>
struct get_compare
{
 typedef Less type;
};

template<class T>
struct get_compare<void, T>
{
 typedef ::std::less<T> type;
};

template<class KeyOfValue, class T>
struct get_key_of_value
{
 typedef KeyOfValue type;
};

template<class T>
struct get_key_of_value<void, T>
{
 typedef ::boost::intrusive::detail::identity<T> type;
};

template<class ValuePtr, class VoidOrKeyOfValue, class VoidOrKeyComp>
struct bst_key_types
{
 typedef typename
 boost::movelib::pointer_element<ValuePtr>::type value_type;
 typedef typename get_key_of_value
 < VoidOrKeyOfValue, value_type>::type key_of_value;
 typedef typename key_of_value::type key_type;
 typedef typename get_compare< VoidOrKeyComp
 , key_type
 >::type key_compare;
 typedef tree_value_compare
 <ValuePtr, key_compare, key_of_value> value_compare;
};

template<class ValueTraits, class VoidOrKeyOfValue, class VoidOrKeyComp, algo_types AlgoType, typename HeaderHolder>
struct bstbase2
 //Put the (possibly empty) functor in the first position to get EBO in MSVC
 //Use public inheritance to avoid MSVC bugs with closures
 : public detail::ebo_functor_holder
 < typename bst_key_types
 < typename ValueTraits::pointer
 , VoidOrKeyOfValue
 , VoidOrKeyComp
 
 >::value_compare
 >
 , public bstbase3<ValueTraits, AlgoType, HeaderHolder>
{
 typedef bstbase3<ValueTraits, AlgoType, HeaderHolder> treeheader_t;
 typedef bst_key_types< typename ValueTraits::pointer
 , VoidOrKeyOfValue
 , VoidOrKeyComp> key_types;
 typedef typename treeheader_t::value_traits value_traits;
 typedef typename treeheader_t::node_algorithms node_algorithms;
 typedef typename ValueTraits::value_type value_type;
 typedef typename key_types::key_type key_type;
 typedef typename key_types::key_of_value key_of_value;
 typedef typename key_types::key_compare key_compare;
 typedef typename key_types::value_compare value_compare;
 typedef typename treeheader_t::iterator iterator;
 typedef typename treeheader_t::const_iterator const_iterator;
 typedef typename treeheader_t::node_ptr node_ptr;
 typedef typename treeheader_t::const_node_ptr const_node_ptr;

bstbase2(const key_compare &comp, const ValueTraits &vtraits)
 : detail::ebo_functor_holder<value_compare>(value_compare(comp)), treeheader_t(vtraits)
 {}

const value_compare &comp() const
   {  return this->get();  }

value_compare &comp()
   {  return this->get();  }

typedef BOOST_INTRUSIVE_IMPDEF(typename value_traits::pointer) pointer;
 typedef BOOST_INTRUSIVE_IMPDEF(typename value_traits::const_pointer) const_pointer;
 typedef BOOST_INTRUSIVE_IMPDEF(typename pointer_traits<pointer>::reference) reference;
 typedef BOOST_INTRUSIVE_IMPDEF(typename pointer_traits<const_pointer>::reference) const_reference;
 typedef BOOST_INTRUSIVE_IMPDEF(typename pointer_traits<const_pointer>::difference_type) difference_type;
 typedef typename node_algorithms::insert_commit_data insert_commit_data;

BOOST_INTRUSIVE_FORCEINLINE value_compare value_comp() const
   {  return this->comp();   }

BOOST_INTRUSIVE_FORCEINLINE key_compare key_comp() const
   {  return this->comp().key_comp();   }

//lower_bound
   BOOST_INTRUSIVE_FORCEINLINE iterator lower_bound(const key_type &key)
   {  return this->lower_bound(key, this->key_comp());   }

BOOST_INTRUSIVE_FORCEINLINE const_iterator lower_bound(const key_type &key) const
   {  return this->lower_bound(key, this->key_comp());   }

template<class KeyType, class KeyTypeKeyCompare>
 iterator lower_bound(const KeyType &key, KeyTypeKeyCompare comp)
 {
 return iterator(node_algorithms::lower_bound
 (this->header_ptr(), key, this->key_node_comp(comp)), this->priv_value_traits_ptr());
 }

template<class KeyType, class KeyTypeKeyCompare>
 const_iterator lower_bound(const KeyType &key, KeyTypeKeyCompare comp) const
 {
 return const_iterator(node_algorithms::lower_bound
 (this->header_ptr(), key, this->key_node_comp(comp)), this->priv_value_traits_ptr());
 }

//upper_bound
   BOOST_INTRUSIVE_FORCEINLINE iterator upper_bound(const key_type &key)
   {  return this->upper_bound(key, this->key_comp());   }

template<class KeyType, class KeyTypeKeyCompare>
 iterator upper_bound(const KeyType &key, KeyTypeKeyCompare comp)
 {
 return iterator(node_algorithms::upper_bound
 (this->header_ptr(), key, this->key_node_comp(comp)), this->priv_value_traits_ptr());
 }

BOOST_INTRUSIVE_FORCEINLINE const_iterator upper_bound(const key_type &key) const
   {  return this->upper_bound(key, this->key_comp());   }

template<class KeyType, class KeyTypeKeyCompare>
 const_iterator upper_bound(const KeyType &key, KeyTypeKeyCompare comp) const
 {
 return const_iterator(node_algorithms::upper_bound
 (this->header_ptr(), key, this->key_node_comp(comp)), this->priv_value_traits_ptr());
 }

template<class KeyTypeKeyCompare>
 struct key_node_comp_ret
 { typedef detail::key_nodeptr_comp<KeyTypeKeyCompare, value_traits, key_of_value> type; };

template<class KeyTypeKeyCompare>
 BOOST_INTRUSIVE_FORCEINLINE typename key_node_comp_ret<KeyTypeKeyCompare>::type key_node_comp(KeyTypeKeyCompare comp) const
 {
 return detail::key_nodeptr_comp<KeyTypeKeyCompare, value_traits, key_of_value>(comp, &this->get_value_traits());
 }

//find
   BOOST_INTRUSIVE_FORCEINLINE iterator find(const key_type &key)
   {  return this->find(key, this->key_comp()); }

template<class KeyType, class KeyTypeKeyCompare>
 iterator find(const KeyType &key, KeyTypeKeyCompare comp)
 {
 return iterator
 (node_algorithms::find(this->header_ptr(), key, this->key_node_comp(comp)), this->priv_value_traits_ptr());
 }

BOOST_INTRUSIVE_FORCEINLINE const_iterator find(const key_type &key) const
   {  return this->find(key, this->key_comp()); }

template<class KeyType, class KeyTypeKeyCompare>
 const_iterator find(const KeyType &key, KeyTypeKeyCompare comp) const
 {
 return const_iterator
 (node_algorithms::find(this->header_ptr(), key, this->key_node_comp(comp)), this->priv_value_traits_ptr());
 }

//equal_range
 BOOST_INTRUSIVE_FORCEINLINE std::pair<iterator,iterator> equal_range(const key_type &key)
 { return this->equal_range(key, this->key_comp()); }

template<class KeyType, class KeyTypeKeyCompare>
 std::pair<iterator,iterator> equal_range(const KeyType &key, KeyTypeKeyCompare comp)
 {
 std::pair<node_ptr, node_ptr> ret
 (node_algorithms::equal_range(this->header_ptr(), key, this->key_node_comp(comp)));
 return std::pair<iterator, iterator>( iterator(ret.first, this->priv_value_traits_ptr())
 , iterator(ret.second, this->priv_value_traits_ptr()));
 }

BOOST_INTRUSIVE_FORCEINLINE std::pair<const_iterator, const_iterator>
 equal_range(const key_type &key) const
 { return this->equal_range(key, this->key_comp()); }

template<class KeyType, class KeyTypeKeyCompare>
 std::pair<const_iterator, const_iterator>
 equal_range(const KeyType &key, KeyTypeKeyCompare comp) const
 {
 std::pair<node_ptr, node_ptr> ret
 (node_algorithms::equal_range(this->header_ptr(), key, this->key_node_comp(comp)));
 return std::pair<const_iterator, const_iterator>( const_iterator(ret.first, this->priv_value_traits_ptr())
 , const_iterator(ret.second, this->priv_value_traits_ptr()));
 }

//lower_bound_range
 BOOST_INTRUSIVE_FORCEINLINE std::pair<iterator,iterator> lower_bound_range(const key_type &key)
 { return this->lower_bound_range(key, this->key_comp()); }

template<class KeyType, class KeyTypeKeyCompare>
 std::pair<iterator,iterator> lower_bound_range(const KeyType &key, KeyTypeKeyCompare comp)
 {
 std::pair<node_ptr, node_ptr> ret
 (node_algorithms::lower_bound_range(this->header_ptr(), key, this->key_node_comp(comp)));
 return std::pair<iterator, iterator>( iterator(ret.first, this->priv_value_traits_ptr())
 , iterator(ret.second, this->priv_value_traits_ptr()));
 }

BOOST_INTRUSIVE_FORCEINLINE std::pair<const_iterator, const_iterator>
 lower_bound_range(const key_type &key) const
 { return this->lower_bound_range(key, this->key_comp()); }

template<class KeyType, class KeyTypeKeyCompare>
 std::pair<const_iterator, const_iterator>
 lower_bound_range(const KeyType &key, KeyTypeKeyCompare comp) const
 {
 std::pair<node_ptr, node_ptr> ret
 (node_algorithms::lower_bound_range(this->header_ptr(), key, this->key_node_comp(comp)));
 return std::pair<const_iterator, const_iterator>( const_iterator(ret.first, this->priv_value_traits_ptr())
 , const_iterator(ret.second, this->priv_value_traits_ptr()));
 }

//bounded_range
 BOOST_INTRUSIVE_FORCEINLINE std::pair<iterator,iterator> bounded_range
 (const key_type &lower_key, const key_type &upper_key, bool left_closed, bool right_closed)
 { return this->bounded_range(lower_key, upper_key, this->key_comp(), left_closed, right_closed); }

template<class KeyType, class KeyTypeKeyCompare>
 std::pair<iterator,iterator> bounded_range
 (const KeyType &lower_key, const KeyType &upper_key, KeyTypeKeyCompare comp, bool left_closed, bool right_closed)
 {
 std::pair<node_ptr, node_ptr> ret
 (node_algorithms::bounded_range
 (this->header_ptr(), lower_key, upper_key, this->key_node_comp(comp), left_closed, right_closed));
 return std::pair<iterator, iterator>( iterator(ret.first, this->priv_value_traits_ptr())
 , iterator(ret.second, this->priv_value_traits_ptr()));
 }

BOOST_INTRUSIVE_FORCEINLINE std::pair<const_iterator,const_iterator> bounded_range
 (const key_type &lower_key, const key_type &upper_key, bool left_closed, bool right_closed) const
 { return this->bounded_range(lower_key, upper_key, this->key_comp(), left_closed, right_closed); }

template<class KeyType, class KeyTypeKeyCompare>
 std::pair<const_iterator,const_iterator> bounded_range
 (const KeyType &lower_key, const KeyType &upper_key, KeyTypeKeyCompare comp, bool left_closed, bool right_closed) const
 {
 std::pair<node_ptr, node_ptr> ret
 (node_algorithms::bounded_range
 (this->header_ptr(), lower_key, upper_key, this->key_node_comp(comp), left_closed, right_closed));
 return std::pair<const_iterator, const_iterator>( const_iterator(ret.first, this->priv_value_traits_ptr())
 , const_iterator(ret.second, this->priv_value_traits_ptr()));
 }

//insert_unique_check
 BOOST_INTRUSIVE_FORCEINLINE std::pair<iterator, bool> insert_unique_check
 (const key_type &key, insert_commit_data &commit_data)
 { return this->insert_unique_check(key, this->key_comp(), commit_data); }

BOOST_INTRUSIVE_FORCEINLINE std::pair<iterator, bool> insert_unique_check
 (const_iterator hint, const key_type &key, insert_commit_data &commit_data)
 { return this->insert_unique_check(hint, key, this->key_comp(), commit_data); }

template<class KeyType, class KeyTypeKeyCompare>
 BOOST_INTRUSIVE_DOC1ST(std::pair<iterator BOOST_INTRUSIVE_I bool>
 , typename detail::disable_if_convertible
 <KeyType BOOST_INTRUSIVE_I const_iterator BOOST_INTRUSIVE_I 
 std::pair<iterator BOOST_INTRUSIVE_I bool> >::type)
 insert_unique_check
 (const KeyType &key, KeyTypeKeyCompare comp, insert_commit_data &commit_data)
 {
 std::pair<node_ptr, bool> ret =
 (node_algorithms::insert_unique_check
 (this->header_ptr(), key, this->key_node_comp(comp), commit_data));
 return std::pair<iterator, bool>(iterator(ret.first, this->priv_value_traits_ptr()), ret.second);
 }

template<class KeyType, class KeyTypeKeyCompare>
 std::pair<iterator, bool> insert_unique_check
 (const_iterator hint, const KeyType &key, KeyTypeKeyCompare comp, insert_commit_data &commit_data)
 {
 std::pair<node_ptr, bool> ret =
 (node_algorithms::insert_unique_check
 (this->header_ptr(), hint.pointed_node(), key, this->key_node_comp(comp), commit_data));
 return std::pair<iterator, bool>(iterator(ret.first, this->priv_value_traits_ptr()), ret.second);
 }
};

//Due to MSVC's EBO implementation, to save space and maintain the ABI, we must put the non-empty size member
//in the first position, but if size is not going to be stored then we'll use an specialization
//that doesn't inherit from size_holder
template<class ValueTraits, class VoidOrKeyOfValue, class VoidOrKeyComp, bool ConstantTimeSize, class SizeType, algo_types AlgoType, typename HeaderHolder>
struct bstbase_hack
 : public detail::size_holder<ConstantTimeSize, SizeType>
 , public bstbase2 < ValueTraits, VoidOrKeyOfValue, VoidOrKeyComp, AlgoType, HeaderHolder>
{
 typedef bstbase2< ValueTraits, VoidOrKeyOfValue, VoidOrKeyComp, AlgoType, HeaderHolder> base_type;
 typedef typename base_type::key_compare key_compare;
 typedef typename base_type::value_compare value_compare;
 typedef SizeType size_type;
 typedef typename base_type::node_traits node_traits;
 typedef typename get_algo
 <AlgoType, node_traits>::type algo_type;

BOOST_INTRUSIVE_FORCEINLINE bstbase_hack(const key_compare & comp, const ValueTraits &vtraits)
      : base_type(comp, vtraits)
   {
      this->sz_traits().set_size(size_type(0));
   }

typedef detail::size_holder<ConstantTimeSize, SizeType> size_traits;

BOOST_INTRUSIVE_FORCEINLINE size_traits &sz_traits()
 { return static_cast<size_traits &>(*this); }

BOOST_INTRUSIVE_FORCEINLINE const size_traits &sz_traits() const
 { return static_cast<const size_traits &>(*this); }
};

//Specialization for ConstantTimeSize == false
template<class ValueTraits, class VoidOrKeyOfValue, class VoidOrKeyComp, class SizeType, algo_types AlgoType, typename HeaderHolder>
struct bstbase_hack<ValueTraits, VoidOrKeyOfValue, VoidOrKeyComp, false, SizeType, AlgoType, HeaderHolder>
 : public bstbase2 < ValueTraits, VoidOrKeyOfValue, VoidOrKeyComp, AlgoType, HeaderHolder>
{
 typedef bstbase2< ValueTraits, VoidOrKeyOfValue, VoidOrKeyComp, AlgoType, HeaderHolder> base_type;
 typedef typename base_type::value_compare value_compare;
 typedef typename base_type::key_compare key_compare;
 BOOST_INTRUSIVE_FORCEINLINE bstbase_hack(const key_compare & comp, const ValueTraits &vtraits)
 : base_type(comp, vtraits)
 {}

typedef detail::size_holder<false, SizeType> size_traits;

BOOST_INTRUSIVE_FORCEINLINE size_traits sz_traits() const
   {  return size_traits();  }
};

//This class will
template<class ValueTraits, class VoidOrKeyOfValue, class VoidOrKeyComp, bool ConstantTimeSize, class SizeType, algo_types AlgoType, typename HeaderHolder>
struct bstbase
 : public bstbase_hack< ValueTraits, VoidOrKeyOfValue, VoidOrKeyComp, ConstantTimeSize, SizeType, AlgoType, HeaderHolder>
{
 typedef bstbase_hack< ValueTraits, VoidOrKeyOfValue, VoidOrKeyComp, ConstantTimeSize, SizeType, AlgoType, HeaderHolder> base_type;
 typedef ValueTraits value_traits;
 typedef typename base_type::value_compare value_compare;
 typedef typename base_type::key_compare key_compare;
 typedef typename base_type::const_reference const_reference;
 typedef typename base_type::reference reference;
 typedef typename base_type::iterator iterator;
 typedef typename base_type::const_iterator const_iterator;
 typedef typename base_type::node_traits node_traits;
 typedef typename get_algo
 <AlgoType, node_traits>::type node_algorithms;
 typedef SizeType size_type;

BOOST_INTRUSIVE_FORCEINLINE bstbase(const key_compare & comp, const ValueTraits &vtraits)
      : base_type(comp, vtraits)
   {}

//Detach all inserted nodes. This will add exception safety to bstree_impl
 //constructors inserting elements.
 ~bstbase()
 {
 if(is_safe_autounlink<value_traits::link_mode>::value){
 node_algorithms::clear_and_dispose
 ( this->header_ptr()
 , detail::node_disposer<detail::null_disposer, value_traits, AlgoType>
 (detail::null_disposer(), &this->get_value_traits()));
 node_algorithms::init(this->header_ptr());
 }
 }
};

/// @endcond

//! The class template bstree is an unbalanced intrusive binary search tree
//! container. The no-throw guarantee holds only, if the key_compare object
//! doesn't throw.
//!
//! The complexity guarantees only hold if the tree is balanced, logarithmic
//! complexity would increase to linear if the tree is totally unbalanced.
//!
//! The template parameter \c T is the type to be managed by the container.
//! The user can specify additional options and if no options are provided
//! default options are used.
//!
//! The container supports the following options:
//! \c base_hook<>/member_hook<>/value_traits<>,
//! \c constant_time_size<>, \c size_type<> and
//! \c compare<>.
#if defined(BOOST_INTRUSIVE_DOXYGEN_INVOKED)
template<class T, class ...Options>
#else
template<class ValueTraits, class VoidOrKeyOfValue, class VoidOrKeyComp, class SizeType, bool ConstantTimeSize, algo_types AlgoType, typename HeaderHolder>
#endif
class bstree_impl
 : public bstbase<ValueTraits, VoidOrKeyOfValue, VoidOrKeyComp, ConstantTimeSize, SizeType, AlgoType, HeaderHolder>
{
 public:
 /// @cond
 typedef bstbase<ValueTraits, VoidOrKeyOfValue, VoidOrKeyComp, ConstantTimeSize, SizeType, AlgoType, HeaderHolder> data_type;
 typedef tree_iterator<ValueTraits, false> iterator_type;
 typedef tree_iterator<ValueTraits, true> const_iterator_type;
 /// @endcond

typedef BOOST_INTRUSIVE_IMPDEF(ValueTraits) value_traits;
 typedef BOOST_INTRUSIVE_IMPDEF(typename value_traits::pointer) pointer;
 typedef BOOST_INTRUSIVE_IMPDEF(typename value_traits::const_pointer) const_pointer;
 typedef BOOST_INTRUSIVE_IMPDEF(typename pointer_traits<pointer>::element_type) value_type;
 typedef BOOST_INTRUSIVE_IMPDEF(typename data_type::key_type) key_type;
 typedef BOOST_INTRUSIVE_IMPDEF(typename data_type::key_of_value) key_of_value;
 typedef BOOST_INTRUSIVE_IMPDEF(typename pointer_traits<pointer>::reference) reference;
 typedef BOOST_INTRUSIVE_IMPDEF(typename pointer_traits<const_pointer>::reference) const_reference;
 typedef BOOST_INTRUSIVE_IMPDEF(typename pointer_traits<const_pointer>::difference_type) difference_type;
 typedef BOOST_INTRUSIVE_IMPDEF(SizeType) size_type;
 typedef BOOST_INTRUSIVE_IMPDEF(typename data_type::value_compare) value_compare;
 typedef BOOST_INTRUSIVE_IMPDEF(typename data_type::key_compare) key_compare;
 typedef BOOST_INTRUSIVE_IMPDEF(iterator_type) iterator;
 typedef BOOST_INTRUSIVE_IMPDEF(const_iterator_type) const_iterator;
 typedef BOOST_INTRUSIVE_IMPDEF(boost::intrusive::reverse_iterator<iterator>) reverse_iterator;
 typedef BOOST_INTRUSIVE_IMPDEF(boost::intrusive::reverse_iterator<const_iterator>) const_reverse_iterator;
 typedef BOOST_INTRUSIVE_IMPDEF(typename value_traits::node_traits) node_traits;
 typedef BOOST_INTRUSIVE_IMPDEF(typename node_traits::node) node;
 typedef BOOST_INTRUSIVE_IMPDEF(typename node_traits::node_ptr) node_ptr;
 typedef BOOST_INTRUSIVE_IMPDEF(typename node_traits::const_node_ptr) const_node_ptr;
 /// @cond
 typedef typename get_algo<AlgoType, node_traits>::type algo_type;
 /// @endcond
 typedef BOOST_INTRUSIVE_IMPDEF(algo_type) node_algorithms;

static const bool constant_time_size = ConstantTimeSize;
 static const bool stateful_value_traits = detail::is_stateful_value_traits<value_traits>::value;
 /// @cond
 private:

//noncopyable
   BOOST_MOVABLE_BUT_NOT_COPYABLE(bstree_impl)

static const bool safemode_or_autounlink = is_safe_autounlink<value_traits::link_mode>::value;

//Constant-time size is incompatible with auto-unlink hooks!
   BOOST_STATIC_ASSERT(!(constant_time_size && ((int)value_traits::link_mode == (int)auto_unlink)));

protected:

/// @endcond

public:

typedef typename node_algorithms::insert_commit_data insert_commit_data;

//! Effects: Constructs an empty container.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: If value_traits::node_traits::node
 //! constructor throws (this does not happen with predefined Boost.Intrusive hooks)
 //! or the copy constructor of the key_compare object throws. Basic guarantee.
 bstree_impl()
 : data_type(key_compare(), value_traits())
 {}

//! Effects: Constructs an empty container with given comparison and traits.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: If value_traits::node_traits::node
 //! constructor throws (this does not happen with predefined Boost.Intrusive hooks)
 //! or the copy constructor of the key_compare object throws. Basic guarantee.
 explicit bstree_impl( const key_compare &cmp, const value_traits &v_traits = value_traits())
 : data_type(cmp, v_traits)
 {}

//! Requires: Dereferencing iterator must yield an lvalue of type value_type.
 //! cmp must be a comparison function that induces a strict weak ordering.
 //!
 //! Effects: Constructs an empty container and inserts elements from
 //! [b, e).
 //!
 //! Complexity: Linear in N if [b, e) is already sorted using
 //! comp and otherwise N * log N, where N is the distance between first and last.
 //!
 //! Throws: If value_traits::node_traits::node
 //! constructor throws (this does not happen with predefined Boost.Intrusive hooks)
 //! or the copy constructor/operator() of the key_compare object throws. Basic guarantee.
 template<class Iterator>
 bstree_impl( bool unique, Iterator b, Iterator e
 , const key_compare &cmp = key_compare()
 , const value_traits &v_traits = value_traits())
 : data_type(cmp, v_traits)
 {
 //bstbase releases elements in case of exceptions
 if(unique)
 this->insert_unique(b, e);
 else
 this->insert_equal(b, e);
 }

//! Effects: Constructs a container moving resources from another container.
 //! Internal comparison object and value traits are move constructed and
 //! nodes belonging to x (except the node representing the "end") are linked to *this.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: If value_traits::node_traits::node's
 //! move constructor throws (this does not happen with predefined Boost.Intrusive hooks)
 //! or the move constructor of the comparison objet throws.
 bstree_impl(BOOST_RV_REF(bstree_impl) x)
 : data_type(::boost::move(x.comp()), ::boost::move(x.get_value_traits()))
 {
 this->swap(x);
 }

//! Effects: Equivalent to swap
 //!
 BOOST_INTRUSIVE_FORCEINLINE bstree_impl& operator=(BOOST_RV_REF(bstree_impl) x)
 { this->swap(x); return *this; }

#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
 //! Effects: Detaches all elements from this. The objects in the set
 //! are not deleted (i.e. no destructors are called), but the nodes according to
 //! the value_traits template parameter are reinitialized and thus can be reused.
 //!
 //! Complexity: Linear to elements contained in *this.
 //!
 //! Throws: Nothing.
 ~bstree_impl()
 {}

//! Effects: Returns an iterator pointing to the beginning of the container.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: Nothing.
 iterator begin();

//! Effects: Returns a const_iterator pointing to the beginning of the container.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: Nothing.
 const_iterator begin() const;

//! Effects: Returns an iterator pointing to the end of the container.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: Nothing.
 iterator end();

//! Effects: Returns a const_iterator pointing to the end of the container.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: Nothing.
 const_iterator end() const;

//! Effects: Returns a const_iterator pointing to the end of the container.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: Nothing.
 const_iterator cend() const;

//! Effects: Returns a reverse_iterator pointing to the beginning of the
 //! reversed container.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: Nothing.
 reverse_iterator rbegin();

//! Effects: Returns a const_reverse_iterator pointing to the beginning
 //! of the reversed container.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: Nothing.
 const_reverse_iterator rbegin() const;

//! Effects: Returns a reverse_iterator pointing to the end
 //! of the reversed container.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: Nothing.
 reverse_iterator rend();

//! Effects: Returns a const_reverse_iterator pointing to the end
 //! of the reversed container.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: Nothing.
 const_reverse_iterator rend() const;

//! Effects: Returns a iterator pointing to the root node of the container or end() if not present.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: Nothing.
 iterator root();

//! Effects: Returns a const_iterator pointing to the root node of the container or cend() if not present.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: Nothing.
 const_iterator root() const;

#endif   //#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED

//! Precondition: end_iterator must be a valid end iterator
 //! of the container.
 //!
 //! Effects: Returns a const reference to the container associated to the end iterator
 //!
 //! Throws: Nothing.
 //!
 //! Complexity: Constant.
 static bstree_impl &container_from_end_iterator(iterator end_iterator)
 {
 return static_cast<bstree_impl&>
 (data_type::get_tree_base_from_end_iterator(end_iterator));
 }

//! Precondition: end_iterator must be a valid end const_iterator
 //! of the container.
 //!
 //! Effects: Returns a const reference to the container associated to the iterator
 //!
 //! Throws: Nothing.
 //!
 //! Complexity: Constant.
 static const bstree_impl &container_from_end_iterator(const_iterator end_iterator)
 {
 return static_cast<bstree_impl&>
 (data_type::get_tree_base_from_end_iterator(end_iterator));
 }

//! Precondition: it must be a valid iterator
 //! of the container.
 //!
 //! Effects: Returns a const reference to the container associated to the iterator
 //!
 //! Throws: Nothing.
 //!
 //! Complexity: Logarithmic.
 static bstree_impl &container_from_iterator(iterator it)
 { return container_from_end_iterator(it.end_iterator_from_it()); }

//! Precondition: it must be a valid end const_iterator
 //! of container.
 //!
 //! Effects: Returns a const reference to the container associated to the end iterator
 //!
 //! Throws: Nothing.
 //!
 //! Complexity: Logarithmic.
 static const bstree_impl &container_from_iterator(const_iterator it)
 { return container_from_end_iterator(it.end_iterator_from_it()); }

#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED

//! Effects: Returns the key_compare object used by the container.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: If key_compare copy-constructor throws.
 key_compare key_comp() const;

//! Effects: Returns the value_compare object used by the container.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: If value_compare copy-constructor throws.
 value_compare value_comp() const;

#endif   //#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED

//! Effects: Returns true if the container is empty.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: Nothing.
 bool empty() const
 {
 if(ConstantTimeSize){
 return !this->data_type::sz_traits().get_size();
 }
 else{
 return algo_type::unique(this->header_ptr());
 }
 }

//! Effects: Returns the number of elements stored in the container.
 //!
 //! Complexity: Linear to elements contained in *this
 //! if constant-time size option is disabled. Constant time otherwise.
 //!
 //! Throws: Nothing.
 size_type size() const
 {
 if(constant_time_size)
 return this->sz_traits().get_size();
 else{
 return (size_type)node_algorithms::size(this->header_ptr());
 }
 }

//! Effects: Swaps the contents of two containers.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: If the comparison functor's swap call throws.
 void swap(bstree_impl& other)
 {
 //This can throw
 ::boost::adl_move_swap(this->comp(), other.comp());
 //These can't throw
 node_algorithms::swap_tree(this->header_ptr(), node_ptr(other.header_ptr()));
 this->sz_traits().swap(other.sz_traits());
 }

//! Requires: Disposer::operator()(pointer) shouldn't throw.
 //! Cloner should yield to nodes equivalent to the original nodes.
 //!
 //! Effects: Erases all the elements from *this
 //! calling Disposer::operator()(pointer), clones all the
 //! elements from src calling Cloner::operator()(const_reference )
 //! and inserts them on *this. Copies the predicate from the source container.
 //!
 //! If cloner throws, all cloned elements are unlinked and disposed
 //! calling Disposer::operator()(pointer).
 //!
 //! Complexity: Linear to erased plus inserted elements.
 //!
 //! Throws: If cloner throws or predicate copy assignment throws. Basic guarantee.
 template <class Cloner, class Disposer>
 void clone_from(const bstree_impl &src, Cloner cloner, Disposer disposer)
 {
 this->clear_and_dispose(disposer);
 if(!src.empty()){
 detail::exception_disposer<bstree_impl, Disposer>
 rollback(*this, disposer);
 node_algorithms::clone
 (src.header_ptr()
 ,this->header_ptr()
 ,detail::node_cloner <Cloner, value_traits, AlgoType>(cloner, &this->get_value_traits())
 ,detail::node_disposer<Disposer, value_traits, AlgoType>(disposer, &this->get_value_traits()));
 this->sz_traits().set_size(src.sz_traits().get_size());
 this->comp() = src.comp();
 rollback.release();
 }
 }

//! Requires: Disposer::operator()(pointer) shouldn't throw.
 //! Cloner should yield to nodes equivalent to the original nodes.
 //!
 //! Effects: Erases all the elements from *this
 //! calling Disposer::operator()(pointer), clones all the
 //! elements from src calling Cloner::operator()(reference)
 //! and inserts them on *this. Copies the predicate from the source container.
 //!
 //! If cloner throws, all cloned elements are unlinked and disposed
 //! calling Disposer::operator()(pointer).
 //!
 //! Complexity: Linear to erased plus inserted elements.
 //!
 //! Throws: If cloner throws or predicate copy assignment throws. Basic guarantee.
 //!
 //! Note: This version can modify the source container, useful to implement
 //! move semantics.
 template <class Cloner, class Disposer>
 void clone_from(BOOST_RV_REF(bstree_impl) src, Cloner cloner, Disposer disposer)
 {
 this->clear_and_dispose(disposer);
 if(!src.empty()){
 detail::exception_disposer<bstree_impl, Disposer>
 rollback(*this, disposer);
 node_algorithms::clone
 (src.header_ptr()
 ,this->header_ptr()
 ,detail::node_cloner <Cloner, value_traits, AlgoType, false>(cloner, &this->get_value_traits())
 ,detail::node_disposer<Disposer, value_traits, AlgoType>(disposer, &this->get_value_traits()));
 this->sz_traits().set_size(src.sz_traits().get_size());
 this->comp() = src.comp();
 rollback.release();
 }
 }

//! Requires: value must be an lvalue
 //!
 //! Effects: Inserts value into the container before the upper bound.
 //!
 //! Complexity: Average complexity for insert element is at
 //! most logarithmic.
 //!
 //! Throws: If the internal key_compare ordering function throws. Strong guarantee.
 //!
 //! Note: Does not affect the validity of iterators and references.
 //! No copy-constructors are called.
 iterator insert_equal(reference value)
 {
 node_ptr to_insert(this->get_value_traits().to_node_ptr(value));
 if(safemode_or_autounlink)
 BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(node_algorithms::unique(to_insert));
 iterator ret(node_algorithms::insert_equal_upper_bound
 (this->header_ptr(), to_insert, this->key_node_comp(this->key_comp())), this->priv_value_traits_ptr());
 this->sz_traits().increment();
 return ret;
 }

//! Requires: value must be an lvalue, and "hint" must be
 //! a valid iterator.
 //!
 //! Effects: Inserts x into the container, using "hint" as a hint to
 //! where it will be inserted. If "hint" is the upper_bound
 //! the insertion takes constant time (two comparisons in the worst case)
 //!
 //! Complexity: Logarithmic in general, but it is amortized
 //! constant time if t is inserted immediately before hint.
 //!
 //! Throws: If the internal key_compare ordering function throws. Strong guarantee.
 //!
 //! Note: Does not affect the validity of iterators and references.
 //! No copy-constructors are called.
 iterator insert_equal(const_iterator hint, reference value)
 {
 node_ptr to_insert(this->get_value_traits().to_node_ptr(value));
 if(safemode_or_autounlink)
 BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(node_algorithms::unique(to_insert));
 iterator ret(node_algorithms::insert_equal
 (this->header_ptr(), hint.pointed_node(), to_insert, this->key_node_comp(this->key_comp())), this->priv_value_traits_ptr());
 this->sz_traits().increment();
 return ret;
 }

//! Requires: Dereferencing iterator must yield an lvalue
 //! of type value_type.
 //!
 //! Effects: Inserts a each element of a range into the container
 //! before the upper bound of the key of each element.
 //!
 //! Complexity: Insert range is in general O(N * log(N)), where N is the
 //! size of the range. However, it is linear in N if the range is already sorted
 //! by value_comp().
 //!
 //! Throws: Nothing.
 //!
 //! Note: Does not affect the validity of iterators and references.
 //! No copy-constructors are called.
 template<class Iterator>
 void insert_equal(Iterator b, Iterator e)
 {
 iterator iend(this->end());
 for (; b != e; ++b)
 this->insert_equal(iend, *b);
 }

//! Requires: value must be an lvalue
 //!
 //! Effects: Inserts value into the container if the value
 //! is not already present.
 //!
 //! Complexity: Average complexity for insert element is at
 //! most logarithmic.
 //!
 //! Throws: Nothing.
 //!
 //! Note: Does not affect the validity of iterators and references.
 //! No copy-constructors are called.
 std::pair<iterator, bool> insert_unique(reference value)
 {
 insert_commit_data commit_data;
 std::pair<node_ptr, bool> ret =
 (node_algorithms::insert_unique_check
 (this->header_ptr(), key_of_value()(value), this->key_node_comp(this->key_comp()), commit_data));
 return std::pair<iterator, bool>
 ( ret.second ? this->insert_unique_commit(value, commit_data)
 : iterator(ret.first, this->priv_value_traits_ptr())
 , ret.second);
 }

//! Requires: value must be an lvalue, and "hint" must be
 //! a valid iterator
 //!
 //! Effects: Tries to insert x into the container, using "hint" as a hint
 //! to where it will be inserted.
 //!
 //! Complexity: Logarithmic in general, but it is amortized
 //! constant time (two comparisons in the worst case)
 //! if t is inserted immediately before hint.
 //!
 //! Throws: Nothing.
 //!
 //! Note: Does not affect the validity of iterators and references.
 //! No copy-constructors are called.
 iterator insert_unique(const_iterator hint, reference value)
 {
 insert_commit_data commit_data;
 std::pair<node_ptr, bool> ret =
 (node_algorithms::insert_unique_check
 (this->header_ptr(), hint.pointed_node(), key_of_value()(value), this->key_node_comp(this->key_comp()), commit_data));
 return ret.second ? this->insert_unique_commit(value, commit_data)
 : iterator(ret.first, this->priv_value_traits_ptr());
 }

//! Requires: Dereferencing iterator must yield an lvalue
 //! of type value_type.
 //!
 //! Effects: Tries to insert each element of a range into the container.
 //!
 //! Complexity: Insert range is in general O(N * log(N)), where N is the
 //! size of the range. However, it is linear in N if the range is already sorted
 //! by value_comp().
 //!
 //! Throws: Nothing.
 //!
 //! Note: Does not affect the validity of iterators and references.
 //! No copy-constructors are called.
 template<class Iterator>
 void insert_unique(Iterator b, Iterator e)
 {
 if(this->empty()){
 iterator iend(this->end());
 for (; b != e; ++b)
 this->insert_unique(iend, *b);
 }
 else{
 for (; b != e; ++b)
 this->insert_unique(*b);
 }
 }

#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED

//! Effects: Checks if a value can be inserted in the container, using
 //! a user provided key instead of the value itself.
 //!
 //! Returns: If there is an equivalent value
 //! returns a pair containing an iterator to the already present value
 //! and false. If the value can be inserted returns true in the returned
 //! pair boolean and fills "commit_data" that is meant to be used with
 //! the "insert_commit" function.
 //!
 //! Complexity: Average complexity is at most logarithmic.
 //!
 //! Throws: If the comp ordering function throws. Strong guarantee.
 std::pair<iterator, bool> insert_unique_check(const key_type &key, insert_commit_data &commit_data);

//! Effects: Checks if a value can be inserted in the container, using
 //! a user provided key instead of the value itself, using "hint"
 //! as a hint to where it will be inserted.
 //!
 //! Returns: If there is an equivalent value
 //! returns a pair containing an iterator to the already present value
 //! and false. If the value can be inserted returns true in the returned
 //! pair boolean and fills "commit_data" that is meant to be used with
 //! the "insert_commit" function.
 //!
 //! Complexity: Logarithmic in general, but it's amortized
 //! constant time if t is inserted immediately before hint.
 //!
 //! Throws: If the comp ordering function throws. Strong guarantee.
 std::pair<iterator, bool> insert_unique_check(const_iterator hint, const key_type &key, insert_commit_data &commit_data);

//! Requires: comp must be a comparison function that induces
 //! the same strict weak ordering as key_compare. The difference is that
 //! comp compares an arbitrary key with the contained values.
 //!
 //! Effects: Checks if a value can be inserted in the container, using
 //! a user provided key instead of the value itself.
 //!
 //! Returns: If there is an equivalent value
 //! returns a pair containing an iterator to the already present value
 //! and false. If the value can be inserted returns true in the returned
 //! pair boolean and fills "commit_data" that is meant to be used with
 //! the "insert_commit" function.
 //!
 //! Complexity: Average complexity is at most logarithmic.
 //!
 //! Throws: If the comp ordering function throws. Strong guarantee.
 //!
 //! Notes: This function is used to improve performance when constructing
 //! a value_type is expensive: if there is an equivalent value
 //! the constructed object must be discarded. Many times, the part of the
 //! node that is used to impose the order is much cheaper to construct
 //! than the value_type and this function offers the possibility to use that
 //! part to check if the insertion will be successful.
 //!
 //! If the check is successful, the user can construct the value_type and use
 //! "insert_commit" to insert the object in constant-time. This gives a total
 //! logarithmic complexity to the insertion: check(O(log(N)) + commit(O(1)).
 //!
 //! "commit_data" remains valid for a subsequent "insert_commit" only if no more
 //! objects are inserted or erased from the container.
 template<class KeyType, class KeyTypeKeyCompare>
 std::pair<iterator, bool> insert_unique_check
 (const KeyType &key, KeyTypeKeyCompare comp, insert_commit_data &commit_data);

//! Requires: comp must be a comparison function that induces
 //! the same strict weak ordering as key_compare. The difference is that
 //! comp compares an arbitrary key with the contained values.
 //!
 //! Effects: Checks if a value can be inserted in the container, using
 //! a user provided key instead of the value itself, using "hint"
 //! as a hint to where it will be inserted.
 //!
 //! Returns: If there is an equivalent value
 //! returns a pair containing an iterator to the already present value
 //! and false. If the value can be inserted returns true in the returned
 //! pair boolean and fills "commit_data" that is meant to be used with
 //! the "insert_commit" function.
 //!
 //! Complexity: Logarithmic in general, but it's amortized
 //! constant time if t is inserted immediately before hint.
 //!
 //! Throws: If the comp ordering function throws. Strong guarantee.
 //!
 //! Notes: This function is used to improve performance when constructing
 //! a value_type is expensive: if there is an equivalent value
 //! the constructed object must be discarded. Many times, the part of the
 //! constructing that is used to impose the order is much cheaper to construct
 //! than the value_type and this function offers the possibility to use that key
 //! to check if the insertion will be successful.
 //!
 //! If the check is successful, the user can construct the value_type and use
 //! "insert_commit" to insert the object in constant-time. This can give a total
 //! constant-time complexity to the insertion: check(O(1)) + commit(O(1)).
 //!
 //! "commit_data" remains valid for a subsequent "insert_commit" only if no more
 //! objects are inserted or erased from the container.
 template<class KeyType, class KeyTypeKeyCompare>
 std::pair<iterator, bool> insert_unique_check
 (const_iterator hint, const KeyType &key
 ,KeyTypeKeyCompare comp, insert_commit_data &commit_data);

#endif   //#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED

//! Requires: value must be an lvalue of type value_type. commit_data
 //! must have been obtained from a previous call to "insert_check".
 //! No objects should have been inserted or erased from the container between
 //! the "insert_check" that filled "commit_data" and the call to "insert_commit".
 //!
 //! Effects: Inserts the value in the container using the information obtained
 //! from the "commit_data" that a previous "insert_check" filled.
 //!
 //! Returns: An iterator to the newly inserted object.
 //!
 //! Complexity: Constant time.
 //!
 //! Throws: Nothing.
 //!
 //! Notes: This function has only sense if a "insert_check" has been
 //! previously executed to fill "commit_data". No value should be inserted or
 //! erased between the "insert_check" and "insert_commit" calls.
 iterator insert_unique_commit(reference value, const insert_commit_data &commit_data)
 {
 node_ptr to_insert(this->get_value_traits().to_node_ptr(value));
 if(safemode_or_autounlink)
 BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(node_algorithms::unique(to_insert));

#if !(defined(BOOST_DISABLE_ASSERTS) || ( defined(BOOST_ENABLE_ASSERT_DEBUG_HANDLER) && defined(NDEBUG) ))
      //Test insertion position is correct
      iterator p(commit_data.node, this->priv_value_traits_ptr());
      if(!commit_data.link_left){
         ++p;
      }
      //Check if the insertion point is correct to detect wrong
      //uses insert_unique_check
      BOOST_ASSERT(( p == this->end()   || !this->comp()(*p, value)   ));
      BOOST_ASSERT(( p == this->begin() || !this->comp()(value, *--p) ));
      #endif

node_algorithms::insert_unique_commit
               (this->header_ptr(), to_insert, commit_data);
      this->sz_traits().increment();
      return iterator(to_insert, this->priv_value_traits_ptr());
   }

//! Requires: value must be an lvalue, "pos" must be
 //! a valid iterator (or end) and must be the succesor of value
 //! once inserted according to the predicate
 //!
 //! Effects: Inserts x into the container before "pos".
 //!
 //! Complexity: Constant time.
 //!
 //! Throws: Nothing.
 //!
 //! Note: This function does not check preconditions so if "pos" is not
 //! the successor of "value" container ordering invariant will be broken.
 //! This is a low-level function to be used only for performance reasons
 //! by advanced users.
 iterator insert_before(const_iterator pos, reference value)
 {
 node_ptr to_insert(this->get_value_traits().to_node_ptr(value));
 if(safemode_or_autounlink)
 BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(node_algorithms::unique(to_insert));
 this->sz_traits().increment();
 return iterator(node_algorithms::insert_before
 (this->header_ptr(), pos.pointed_node(), to_insert), this->priv_value_traits_ptr());
 }

//! Requires: value must be an lvalue, and it must be no less
 //! than the greatest inserted key
 //!
 //! Effects: Inserts x into the container in the last position.
 //!
 //! Complexity: Constant time.
 //!
 //! Throws: Nothing.
 //!
 //! Note: This function does not check preconditions so if value is
 //! less than the greatest inserted key container ordering invariant will be broken.
 //! This function is slightly more efficient than using "insert_before".
 //! This is a low-level function to be used only for performance reasons
 //! by advanced users.
 void push_back(reference value)
 {
 node_ptr to_insert(this->get_value_traits().to_node_ptr(value));
 if(safemode_or_autounlink)
 BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(node_algorithms::unique(to_insert));
 this->sz_traits().increment();
 node_algorithms::push_back(this->header_ptr(), to_insert);
 }

//! Requires: value must be an lvalue, and it must be no greater
 //! than the minimum inserted key
 //!
 //! Effects: Inserts x into the container in the first position.
 //!
 //! Complexity: Constant time.
 //!
 //! Throws: Nothing.
 //!
 //! Note: This function does not check preconditions so if value is
 //! greater than the minimum inserted key container ordering invariant will be broken.
 //! This function is slightly more efficient than using "insert_before".
 //! This is a low-level function to be used only for performance reasons
 //! by advanced users.
 void push_front(reference value)
 {
 node_ptr to_insert(this->get_value_traits().to_node_ptr(value));
 if(safemode_or_autounlink)
 BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(node_algorithms::unique(to_insert));
 this->sz_traits().increment();
 node_algorithms::push_front(this->header_ptr(), to_insert);
 }

//! Effects: Erases the element pointed to by i.
 //!
 //! Complexity: Average complexity for erase element is constant time.
 //!
 //! Throws: Nothing.
 //!
 //! Note: Invalidates the iterators (but not the references)
 //! to the erased elements. No destructors are called.
 iterator erase(const_iterator i)
 {
 const_iterator ret(i);
 ++ret;
 node_ptr to_erase(i.pointed_node());
 if(safemode_or_autounlink)
 BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(!node_algorithms::unique(to_erase));
 node_algorithms::erase(this->header_ptr(), to_erase);
 this->sz_traits().decrement();
 if(safemode_or_autounlink)
 node_algorithms::init(to_erase);
 return ret.unconst();
 }

//! Effects: Erases the range pointed to by b end e.
 //!
 //! Complexity: Average complexity for erase range is at most
 //! O(log(size() + N)), where N is the number of elements in the range.
 //!
 //! Throws: Nothing.
 //!
 //! Note: Invalidates the iterators (but not the references)
 //! to the erased elements. No destructors are called.
 iterator erase(const_iterator b, const_iterator e)
 { size_type n; return this->private_erase(b, e, n); }

//! Effects: Erases all the elements with the given value.
 //!
 //! Returns: The number of erased elements.
 //!
 //! Complexity: O(log(size() + N).
 //!
 //! Throws: Nothing.
 //!
 //! Note: Invalidates the iterators (but not the references)
 //! to the erased elements. No destructors are called.
 size_type erase(const key_type &key)
 { return this->erase(key, this->key_comp()); }

//! Requires: key is a value such that `*this` is partitioned with respect to
 //! comp(nk, key) and !comp(key, nk), with comp(nk, key) implying !comp(key, nk),
 //! with nk the key_type of a value_type inserted into `*this`.
 //!
 //! Effects: Erases all the elements with the given key.
 //! according to the comparison functor "comp".
 //!
 //! Returns: The number of erased elements.
 //!
 //! Complexity: O(log(size() + N).
 //!
 //! Throws: Nothing.
 //!
 //! Note: Invalidates the iterators (but not the references)
 //! to the erased elements. No destructors are called.
 template<class KeyType, class KeyTypeKeyCompare>
 BOOST_INTRUSIVE_DOC1ST(size_type
 , typename detail::disable_if_convertible<KeyTypeKeyCompare BOOST_INTRUSIVE_I const_iterator BOOST_INTRUSIVE_I size_type>::type)
 erase(const KeyType& key, KeyTypeKeyCompare comp)
 {
 std::pair<iterator,iterator> p = this->equal_range(key, comp);
 size_type n;
 this->private_erase(p.first, p.second, n);
 return n;
 }

//! Requires: Disposer::operator()(pointer) shouldn't throw.
 //!
 //! Effects: Erases the element pointed to by i.
 //! Disposer::operator()(pointer) is called for the removed element.
 //!
 //! Complexity: Average complexity for erase element is constant time.
 //!
 //! Throws: Nothing.
 //!
 //! Note: Invalidates the iterators
 //! to the erased elements.
 template<class Disposer>
 iterator erase_and_dispose(const_iterator i, Disposer disposer)
 {
 node_ptr to_erase(i.pointed_node());
 iterator ret(this->erase(i));
 disposer(this->get_value_traits().to_value_ptr(to_erase));
 return ret;
 }

//! Requires: Disposer::operator()(pointer) shouldn't throw.
 //!
 //! Effects: Erases all the elements with the given value.
 //! Disposer::operator()(pointer) is called for the removed elements.
 //!
 //! Returns: The number of erased elements.
 //!
 //! Complexity: O(log(size() + N).
 //!
 //! Throws: Nothing.
 //!
 //! Note: Invalidates the iterators (but not the references)
 //! to the erased elements. No destructors are called.
 template<class Disposer>
 size_type erase_and_dispose(const key_type &key, Disposer disposer)
 {
 std::pair<iterator,iterator> p = this->equal_range(key);
 size_type n;
 this->private_erase(p.first, p.second, n, disposer);
 return n;
 }

//! Requires: Disposer::operator()(pointer) shouldn't throw.
 //!
 //! Effects: Erases the range pointed to by b end e.
 //! Disposer::operator()(pointer) is called for the removed elements.
 //!
 //! Complexity: Average complexity for erase range is at most
 //! O(log(size() + N)), where N is the number of elements in the range.
 //!
 //! Throws: Nothing.
 //!
 //! Note: Invalidates the iterators
 //! to the erased elements.
 template<class Disposer>
 iterator erase_and_dispose(const_iterator b, const_iterator e, Disposer disposer)
 { size_type n; return this->private_erase(b, e, n, disposer); }

//! Requires: key is a value such that `*this` is partitioned with respect to
 //! comp(nk, key) and !comp(key, nk), with comp(nk, key) implying !comp(key, nk)
 //! and nk the key_type of a value_type inserted into `*this`.
 //!
 //! Requires: Disposer::operator()(pointer) shouldn't throw.
 //!
 //! Effects: Erases all the elements with the given key.
 //! according to the comparison functor "comp".
 //! Disposer::operator()(pointer) is called for the removed elements.
 //!
 //! Returns: The number of erased elements.
 //!
 //! Complexity: O(log(size() + N).
 //!
 //! Throws: Nothing.
 //!
 //! Note: Invalidates the iterators
 //! to the erased elements.
 template<class KeyType, class KeyTypeKeyCompare, class Disposer>
 BOOST_INTRUSIVE_DOC1ST(size_type
 , typename detail::disable_if_convertible<KeyTypeKeyCompare BOOST_INTRUSIVE_I const_iterator BOOST_INTRUSIVE_I size_type>::type)
 erase_and_dispose(const KeyType& key, KeyTypeKeyCompare comp, Disposer disposer)
 {
 std::pair<iterator,iterator> p = this->equal_range(key, comp);
 size_type n;
 this->private_erase(p.first, p.second, n, disposer);
 return n;
 }

//! Effects: Erases all of the elements.
 //!
 //! Complexity: Linear to the number of elements on the container.
 //! if it's a safe-mode or auto-unlink value_type. Constant time otherwise.
 //!
 //! Throws: Nothing.
 //!
 //! Note: Invalidates the iterators (but not the references)
 //! to the erased elements. No destructors are called.
 void clear()
 {
 if(safemode_or_autounlink){
 this->clear_and_dispose(detail::null_disposer());
 }
 else{
 node_algorithms::init_header(this->header_ptr());
 this->sz_traits().set_size(0);
 }
 }

//! Effects: Erases all of the elements calling disposer(p) for
 //! each node to be erased.
 //! Complexity: Average complexity for is at most O(log(size() + N)),
 //! where N is the number of elements in the container.
 //!
 //! Throws: Nothing.
 //!
 //! Note: Invalidates the iterators (but not the references)
 //! to the erased elements. Calls N times to disposer functor.
 template<class Disposer>
 void clear_and_dispose(Disposer disposer)
 {
 node_algorithms::clear_and_dispose(this->header_ptr()
 , detail::node_disposer<Disposer, value_traits, AlgoType>(disposer, &this->get_value_traits()));
 node_algorithms::init_header(this->header_ptr());
 this->sz_traits().set_size(0);
 }

//! Effects: Returns the number of contained elements with the given value
 //!
 //! Complexity: Logarithmic to the number of elements contained plus lineal
 //! to number of objects with the given value.
 //!
 //! Throws: If `key_compare` throws.
 size_type count(const key_type &key) const
 { return size_type(this->count(key, this->key_comp())); }

//! Requires: key is a value such that `*this` is partitioned with respect to
 //! comp(nk, key) and !comp(key, nk), with comp(nk, key) implying !comp(key, nk),
 //! and nk the key_type of a value_type inserted into `*this`.
 //!
 //! Effects: Returns the number of contained elements with the given key
 //!
 //! Complexity: Logarithmic to the number of elements contained plus lineal
 //! to number of objects with the given key.
 //!
 //! Throws: If `comp` throws.
 template<class KeyType, class KeyTypeKeyCompare>
 size_type count(const KeyType &key, KeyTypeKeyCompare comp) const
 {
 std::pair<const_iterator, const_iterator> ret = this->equal_range(key, comp);
 size_type n = 0;
 for(; ret.first != ret.second; ++ret.first){ ++n; }
 return n;
 }

#if !defined(BOOST_INTRUSIVE_DOXYGEN_INVOKED)

//Add non-const overloads to theoretically const members
   //as some algorithms have different behavior when non-const versions are used (like splay trees).
   size_type count(const key_type &key)
   {  return size_type(this->count(key, this->key_comp()));   }

template<class KeyType, class KeyTypeKeyCompare>
 size_type count(const KeyType &key, KeyTypeKeyCompare comp)
 {
 std::pair<const_iterator, const_iterator> ret = this->equal_range(key, comp);
 size_type n = 0;
 for(; ret.first != ret.second; ++ret.first){ ++n; }
 return n;
 }

#else //defined(BOOST_INTRUSIVE_DOXYGEN_INVOKED)

//! Effects: Returns an iterator to the first element whose
 //! key is not less than k or end() if that element does not exist.
 //!
 //! Complexity: Logarithmic.
 //!
 //! Throws: If `key_compare` throws.
 iterator lower_bound(const key_type &key);

//! @copydoc ::boost::intrusive::bstree::lower_bound(const key_type &)
 template<class KeyType, class KeyTypeKeyCompare>
 iterator lower_bound(const KeyType &key, KeyTypeKeyCompare comp);

//! @copydoc ::boost::intrusive::bstree::lower_bound(const KeyType&,KeyTypeKeyCompare)
 template<class KeyType, class KeyTypeKeyCompare>
 const_iterator lower_bound(const KeyType &key, KeyTypeKeyCompare comp) const;

//! Effects: Returns an iterator to the first element whose
 //! key is greater than k or end() if that element does not exist.
 //!
 //! Complexity: Logarithmic.
 //!
 //! Throws: If `key_compare` throws.
 iterator upper_bound(const key_type &key);

//! Requires: key is a value such that `*this` is partitioned with respect to
 //! !comp(key, nk), with nk the key_type of a value_type inserted into `*this`.
 //!
 //! Effects: Returns an iterator to the first element whose
 //! key is greater than k according to comp or end() if that element
 //! does not exist.
 //!
 //! Complexity: Logarithmic.
 //!
 //! Throws: If `comp` throws.
 template<class KeyType, class KeyTypeKeyCompare>
 iterator upper_bound(const KeyType &key, KeyTypeKeyCompare comp);

//! @copydoc ::boost::intrusive::bstree::upper_bound(const key_type &)
   const_iterator upper_bound(const key_type &key) const;

//! @copydoc ::boost::intrusive::bstree::upper_bound(const KeyType&,KeyTypeKeyCompare)
 template<class KeyType, class KeyTypeKeyCompare>
 const_iterator upper_bound(const KeyType &key, KeyTypeKeyCompare comp) const;

//! Effects: Finds an iterator to the first element whose key is
 //! k or end() if that element does not exist.
 //!
 //! Complexity: Logarithmic.
 //!
 //! Throws: If `key_compare` throws.
 iterator find(const key_type &key);

//! @copydoc ::boost::intrusive::bstree::find(const key_type &)
   const_iterator find(const key_type &key) const;

//! @copydoc ::boost::intrusive::bstree::find(const KeyType&,KeyTypeKeyCompare)
 template<class KeyType, class KeyTypeKeyCompare>
 const_iterator find(const KeyType &key, KeyTypeKeyCompare comp) const;

//! Effects: Finds a range containing all elements whose key is k or
 //! an empty range that indicates the position where those elements would be
 //! if they there is no elements with key k.
 //!
 //! Complexity: Logarithmic.
 //!
 //! Throws: If `key_compare` throws.
 std::pair<iterator,iterator> equal_range(const key_type &key);

//! @copydoc ::boost::intrusive::bstree::equal_range(const key_type &)
 std::pair<const_iterator, const_iterator> equal_range(const key_type &key) const;

//! @copydoc ::boost::intrusive::bstree::equal_range(const KeyType&,KeyTypeKeyCompare)
 template<class KeyType, class KeyTypeKeyCompare>
 std::pair<const_iterator, const_iterator>
 equal_range(const KeyType &key, KeyTypeKeyCompare comp) const;

//! Requires:
 //! `upper_key` shall not precede `lower_key` according to key_compare.
 //! [key_comp()(upper_key, lower_key) shall be false]
 //!
 //! If `lower_key` is equivalent to `upper_key`
 //! [!key_comp()(upper_key, lower_key) && !key_comp()(lower_key, upper_key)] then
 //! ('left_closed' || 'right_closed') must be false.
 //!
 //! Effects: Returns an a pair with the following criteria:
 //!
 //! first = lower_bound(lower_key) if left_closed, upper_bound(lower_key) otherwise
 //!
 //! second = upper_bound(upper_key) if right_closed, lower_bound(upper_key) otherwise
 //!
 //! Complexity: Logarithmic.
 //!
 //! Throws: If `key_compare` throws.
 //!
 //! Note: This function can be more efficient than calling upper_bound
 //! and lower_bound for lower_value and upper_value.
 //!
 //! Note: Experimental function, the interface might change in future releases.
 std::pair<iterator,iterator> bounded_range
 (const key_type &lower_key, const key_type &upper_value, bool left_closed, bool right_closed);

//! Requires:
 //! `lower_key` is a value such that `*this` is partitioned with respect to
 //! comp(nk, lower_key) if left_closed is true, with respect to !comp(lower_key, nk) otherwise.
 //!
 //! `upper_key` is a value such that `*this` is partitioned with respect to
 //! !comp(upper_key, nk) if right_closed is true, with respect to comp(nk, upper_key) otherwise.
 //!
 //! `upper_key` shall not precede `lower_key` according to comp
 //! [comp(upper_key, lower_key) shall be false]
 //!
 //! If `lower_key` is equivalent to `upper_key`
 //! [!comp(upper_key, lower_key) && !comp(lower_key, upper_key)] then
 //! ('left_closed' || 'right_closed') must be false.
 //!
 //! Effects: Returns an a pair with the following criteria:
 //!
 //! first = lower_bound(lower_key, comp) if left_closed, upper_bound(lower_key, comp) otherwise
 //!
 //! second = upper_bound(upper_key, comp) if right_closed, lower_bound(upper_key, comp) otherwise
 //!
 //! Complexity: Logarithmic.
 //!
 //! Throws: If `comp` throws.
 //!
 //! Note: This function can be more efficient than calling upper_bound
 //! and lower_bound for lower_key and upper_key.
 //!
 //! Note: Experimental function, the interface might change in future releases.
 template<class KeyType, class KeyTypeKeyCompare>
 std::pair<iterator,iterator> bounded_range
 (const KeyType &lower_key, const KeyType &upper_key, KeyTypeKeyCompare comp, bool left_closed, bool right_closed);
 
 //! @copydoc ::boost::intrusive::bstree::bounded_range(const key_type &,const key_type &,bool,bool)
 std::pair<const_iterator,const_iterator> bounded_range
 (const key_type &lower_key, const key_type &upper_key, bool left_closed, bool right_closed) const;

//! @copydoc ::boost::intrusive::bstree::bounded_range(const KeyType&,const KeyType&,KeyTypeKeyCompare,bool,bool)
 template<class KeyType, class KeyTypeKeyCompare>
 std::pair<const_iterator,const_iterator> bounded_range
 (const KeyType &lower_key, const KeyType &upper_key, KeyTypeKeyCompare comp, bool left_closed, bool right_closed) const;

//! Requires: value must be an lvalue and shall be in a set of
 //! appropriate type. Otherwise the behavior is undefined.
 //!
 //! Effects: Returns: a valid iterator i belonging to the set
 //! that points to the value
 //!
 //! Complexity: Constant.
 //!
 //! Throws: Nothing.
 //!
 //! Note: This static function is available only if the value traits
 //! is stateless.
 static iterator s_iterator_to(reference value);

//! Requires: value must be an lvalue and shall be in a set of
 //! appropriate type. Otherwise the behavior is undefined.
 //!
 //! Effects: Returns: a valid const_iterator i belonging to the
 //! set that points to the value
 //!
 //! Complexity: Constant.
 //!
 //! Throws: Nothing.
 //!
 //! Note: This static function is available only if the value traits
 //! is stateless.
 static const_iterator s_iterator_to(const_reference value);

//! Requires: value must be an lvalue and shall be in a set of
 //! appropriate type. Otherwise the behavior is undefined.
 //!
 //! Effects: Returns: a valid const_iterator i belonging to the
 //! set that points to the value
 //!
 //! Complexity: Constant.
 //!
 //! Throws: Nothing.
 const_iterator iterator_to(const_reference value) const;

//! Requires: value shall not be in a container.
 //!
 //! Effects: init_node puts the hook of a value in a well-known default
 //! state.
 //!
 //! Throws: Nothing.
 //!
 //! Complexity: Constant time.
 //!
 //! Note: This function puts the hook in the well-known default state
 //! used by auto_unlink and safe hooks.
 static void init_node(reference value);

#endif   //#if defined(BOOST_INTRUSIVE_DOXYGEN_INVOKED)

//! Effects: Unlinks the leftmost node from the container.
 //!
 //! Complexity: Average complexity is constant time.
 //!
 //! Throws: Nothing.
 //!
 //! Notes: This function breaks the container and the container can
 //! only be used for more unlink_leftmost_without_rebalance calls.
 //! This function is normally used to achieve a step by step
 //! controlled destruction of the container.
 pointer unlink_leftmost_without_rebalance()
 {
 node_ptr to_be_disposed(node_algorithms::unlink_leftmost_without_rebalance
 (this->header_ptr()));
 if(!to_be_disposed)
 return 0;
 this->sz_traits().decrement();
 if(safemode_or_autounlink)//If this is commented does not work with normal_link
 node_algorithms::init(to_be_disposed);
 return this->get_value_traits().to_value_ptr(to_be_disposed);
 }

#if defined(BOOST_INTRUSIVE_DOXYGEN_INVOKED)

//! Requires: replace_this must be a valid iterator of *this
 //! and with_this must not be inserted in any container.
 //!
 //! Effects: Replaces replace_this in its position in the
 //! container with with_this. The container does not need to be rebalanced.
 //!
 //! Complexity: Constant.
 //!
 //! Throws: Nothing.
 //!
 //! Note: This function will break container ordering invariants if
 //! with_this is not equivalent to *replace_this according to the
 //! ordering rules. This function is faster than erasing and inserting
 //! the node, since no rebalancing or comparison is needed.
 void replace_node(iterator replace_this, reference with_this);

//! Effects: Rebalances the tree.
 //!
 //! Throws: Nothing.
 //!
 //! Complexity: Linear.
 void rebalance();

//! Requires: old_root is a node of a tree.
 //!
 //! Effects: Rebalances the subtree rooted at old_root.
 //!
 //! Returns: The new root of the subtree.
 //!
 //! Throws: Nothing.
 //!
 //! Complexity: Linear to the elements in the subtree.
 iterator rebalance_subtree(iterator root);

#endif   //#if defined(BOOST_INTRUSIVE_DOXYGEN_INVOKED)

//! Effects: removes "value" from the container.
 //!
 //! Throws: Nothing.
 //!
 //! Complexity: Logarithmic time.
 //!
 //! Note: This static function is only usable with non-constant
 //! time size containers that have stateless comparison functors.
 //!
 //! If the user calls
 //! this function with a constant time size container or stateful comparison
 //! functor a compilation error will be issued.
 static void remove_node(reference value)
 {
 BOOST_STATIC_ASSERT((!constant_time_size));
 node_ptr to_remove(value_traits::to_node_ptr(value));
 node_algorithms::unlink(to_remove);
 if(safemode_or_autounlink)
 node_algorithms::init(to_remove);
 }

//! Requires: "source" container's Options can only can differ in the comparison
 //! function from *this.
 //! 
 //! Effects: Attempts to extract each element in source and insert it into a using
 //! the comparison object of *this. If there is an element in a with key equivalent to the
 //! key of an element from source, then that element is not extracted from source.
 //! 
 //! Postcondition: Pointers and references to the transferred elements of source refer
 //! to those same elements but as members of *this. Iterators referring to the transferred
 //! elements will continue to refer to their elements, but they now behave as iterators into *this,
 //! not into source.
 //!
 //! Throws: Nothing unless the comparison object throws.
 //!
 //! Complexity: N log(a.size() + N) (N has the value source.size())
 #if defined(BOOST_INTRUSIVE_DOXYGEN_INVOKED)
 template<class T, class ...Options2> void merge_unique(bstree<T, Options2...> &);
 #else
 template<class Compare2>
 void merge_unique(bstree_impl
 <ValueTraits, VoidOrKeyOfValue, Compare2, SizeType, ConstantTimeSize, AlgoType, HeaderHolder> &source)
 #endif
 {
 node_ptr it (node_algorithms::begin_node(source.header_ptr()))
 , itend(node_algorithms::end_node (source.header_ptr()));

while(it != itend){
         node_ptr const p(it);
         BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(!safemode_or_autounlink || !node_algorithms::unique(p));
         it = node_algorithms::next_node(it);
         if( node_algorithms::transfer_unique(this->header_ptr(), this->key_node_comp(this->key_comp()), source.header_ptr(), p) ){
            source.sz_traits().decrement();
            this->sz_traits().increment();
         }
      }
   }

//! Requires: "source" container's Options can only can differ in the comparison
 //! function from *this.
 //! 
 //! Effects: Extracts each element in source and insert it into a using
 //! the comparison object of *this.
 //! 
 //! Postcondition: Pointers and references to the transferred elements of source refer
 //! to those same elements but as members of *this. Iterators referring to the transferred
 //! elements will continue to refer to their elements, but they now behave as iterators into *this,
 //! not into source.
 //!
 //! Throws: Nothing unless the comparison object throws.
 //!
 //! Complexity: N log(a.size() + N) (N has the value source.size())
 #if defined(BOOST_INTRUSIVE_DOXYGEN_INVOKED)
 template<class T, class ...Options2> void merge_equal(bstree<T, Options2...> &);
 #else
 template<class Compare2>
 void merge_equal(bstree_impl
 <ValueTraits, VoidOrKeyOfValue, Compare2, SizeType, ConstantTimeSize, AlgoType, HeaderHolder> &source)
 #endif
 {
 node_ptr it (node_algorithms::begin_node(source.header_ptr()))
 , itend(node_algorithms::end_node (source.header_ptr()));

while(it != itend){
         node_ptr const p(it);
         BOOST_INTRUSIVE_SAFE_HOOK_DEFAULT_ASSERT(!safemode_or_autounlink || !node_algorithms::unique(p));
         it = node_algorithms::next_node(it);
         node_algorithms::transfer_equal(this->header_ptr(), this->key_node_comp(this->key_comp()), source.header_ptr(), p);
         source.sz_traits().decrement();
         this->sz_traits().increment();
      }
   }

//! Effects: Asserts the integrity of the container with additional checks provided by the user.
 //!
 //! Complexity: Linear time.
 //!
 //! Note: The method might not have effect when asserts are turned off (e.g., with NDEBUG).
 //! Experimental function, interface might change in future versions.
 template <class ExtraChecker>
 void check(ExtraChecker extra_checker) const
 {
 typedef detail::key_nodeptr_comp<key_compare, value_traits, key_of_value> nodeptr_comp_t;
 nodeptr_comp_t nodeptr_comp(this->key_comp(), &this->get_value_traits());
 typedef typename get_node_checker<AlgoType, ValueTraits, nodeptr_comp_t, ExtraChecker>::type node_checker_t;
 typename node_checker_t::return_type checker_return;
 node_algorithms::check(this->header_ptr(), node_checker_t(nodeptr_comp, extra_checker), checker_return);
 if (constant_time_size)
 BOOST_INTRUSIVE_INVARIANT_ASSERT(this->sz_traits().get_size() == checker_return.node_count);
 }

//! Effects: Asserts the integrity of the container.
 //!
 //! Complexity: Linear time.
 //!
 //! Note: The method has no effect when asserts are turned off (e.g., with NDEBUG).
 //! Experimental function, interface might change in future versions.
 void check() const
 {
 check(detail::empty_node_checker<ValueTraits>());
 }

friend bool operator==(const bstree_impl &x, const bstree_impl &y)
   {
      if(constant_time_size && x.size() != y.size()){
         return false;
      }
      return boost::intrusive::algo_equal(x.cbegin(), x.cend(), y.cbegin(), y.cend());
   }

friend bool operator!=(const bstree_impl &x, const bstree_impl &y)
   {  return !(x == y); }

friend bool operator<(const bstree_impl &x, const bstree_impl &y)
 { return ::boost::intrusive::algo_lexicographical_compare(x.begin(), x.end(), y.begin(), y.end()); }

friend bool operator>(const bstree_impl &x, const bstree_impl &y)
 { return y < x; }

friend bool operator<=(const bstree_impl &x, const bstree_impl &y)
 { return !(x > y); }

friend bool operator>=(const bstree_impl &x, const bstree_impl &y)
 { return !(x < y); }

friend void swap(bstree_impl &x, bstree_impl &y)
   {  x.swap(y);  }

/// @cond
 private:
 template<class Disposer>
 iterator private_erase(const_iterator b, const_iterator e, size_type &n, Disposer disposer)
 {
 for(n = 0; b != e; ++n)
 this->erase_and_dispose(b++, disposer);
 return b.unconst();
 }

iterator private_erase(const_iterator b, const_iterator e, size_type &n)
   {
      for(n = 0; b != e; ++n)
        this->erase(b++);
      return b.unconst();
   }
   /// @endcond
};

//! Helper metafunction to define a \c bstree that yields to the same type when the
//! same options (either explicitly or implicitly) are used.
#if defined(BOOST_INTRUSIVE_DOXYGEN_INVOKED) || defined(BOOST_INTRUSIVE_VARIADIC_TEMPLATES)
template<class T, class ...Options>
#else
template<class T, class O1 = void, class O2 = void
 , class O3 = void, class O4 = void
 , class O5 = void, class O6 = void>
#endif
struct make_bstree
{
 /// @cond
 typedef typename pack_options
 < bstree_defaults,
 #if !defined(BOOST_INTRUSIVE_VARIADIC_TEMPLATES)
 O1, O2, O3, O4, O5, O6
 #else
 Options...
 #endif
 >::type packed_options;

typedef typename detail::get_value_traits
 <T, typename packed_options::proto_value_traits>::type value_traits;

typedef bstree_impl
 < value_traits
 , typename packed_options::key_of_value
 , typename packed_options::compare
 , typename packed_options::size_type
 , packed_options::constant_time_size
 , BsTreeAlgorithms
 , typename packed_options::header_holder_type
 > implementation_defined;
 /// @endcond
 typedef implementation_defined type;
};

#ifndef BOOST_INTRUSIVE_DOXYGEN_INVOKED

#if !defined(BOOST_INTRUSIVE_VARIADIC_TEMPLATES)
template<class T, class O1, class O2, class O3, class O4, class O5, class O6>
#else
template<class T, class ...Options>
#endif
class bstree
 : public make_bstree<T,
 #if !defined(BOOST_INTRUSIVE_VARIADIC_TEMPLATES)
 O1, O2, O3, O4, O5, O6
 #else
 Options...
 #endif
 >::type
{
 typedef typename make_bstree
 <T,
 #if !defined(BOOST_INTRUSIVE_VARIADIC_TEMPLATES)
 O1, O2, O3, O4, O5, O6
 #else
 Options...
 #endif
 >::type Base;
 BOOST_MOVABLE_BUT_NOT_COPYABLE(bstree)

public:
   typedef typename Base::key_compare        key_compare;
   typedef typename Base::value_traits       value_traits;
   typedef typename Base::iterator           iterator;
   typedef typename Base::const_iterator     const_iterator;

//Assert if passed value traits are compatible with the type
 BOOST_STATIC_ASSERT((detail::is_same<typename value_traits::value_type, T>::value));

BOOST_INTRUSIVE_FORCEINLINE bstree()
      :  Base()
   {}

BOOST_INTRUSIVE_FORCEINLINE explicit bstree( const key_compare &cmp, const value_traits &v_traits = value_traits())
      :  Base(cmp, v_traits)
   {}

template<class Iterator>
 BOOST_INTRUSIVE_FORCEINLINE bstree( bool unique, Iterator b, Iterator e
 , const key_compare &cmp = key_compare()
 , const value_traits &v_traits = value_traits())
 : Base(unique, b, e, cmp, v_traits)
 {}

BOOST_INTRUSIVE_FORCEINLINE bstree(BOOST_RV_REF(bstree) x)
      :  Base(BOOST_MOVE_BASE(Base, x))
   {}

BOOST_INTRUSIVE_FORCEINLINE bstree& operator=(BOOST_RV_REF(bstree) x)
 { return static_cast<bstree &>(this->Base::operator=(BOOST_MOVE_BASE(Base, x))); }

template <class Cloner, class Disposer>
 BOOST_INTRUSIVE_FORCEINLINE void clone_from(const bstree &src, Cloner cloner, Disposer disposer)
 { Base::clone_from(src, cloner, disposer); }

template <class Cloner, class Disposer>
 BOOST_INTRUSIVE_FORCEINLINE void clone_from(BOOST_RV_REF(bstree) src, Cloner cloner, Disposer disposer)
 { Base::clone_from(BOOST_MOVE_BASE(Base, src), cloner, disposer); }

BOOST_INTRUSIVE_FORCEINLINE static bstree &container_from_end_iterator(iterator end_iterator)
 { return static_cast<bstree &>(Base::container_from_end_iterator(end_iterator)); }

BOOST_INTRUSIVE_FORCEINLINE static const bstree &container_from_end_iterator(const_iterator end_iterator)
 { return static_cast<const bstree &>(Base::container_from_end_iterator(end_iterator)); }

BOOST_INTRUSIVE_FORCEINLINE static bstree &container_from_iterator(iterator it)
 { return static_cast<bstree &>(Base::container_from_iterator(it)); }

BOOST_INTRUSIVE_FORCEINLINE static const bstree &container_from_iterator(const_iterator it)
 { return static_cast<const bstree &>(Base::container_from_iterator(it)); }
};

#endif
} //namespace intrusive
} //namespace boost

#include <boost/intrusive/detail/config_end.hpp>

#endif //BOOST_INTRUSIVE_BSTREE_HPP

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