250 lines
		
	
	
		
			6.2 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
		
		
			
		
	
	
			250 lines
		
	
	
		
			6.2 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
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								/* Copyright 2003-2015 Joaquin M Lopez Munoz.
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								 * Distributed under the Boost Software License, Version 1.0.
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								 * (See accompanying file LICENSE_1_0.txt or copy at
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								 * http://www.boost.org/LICENSE_1_0.txt)
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								 *
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								 * See http://www.boost.org/libs/multi_index for library home page.
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								 */
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								#ifndef BOOST_MULTI_INDEX_DETAIL_INDEX_MATCHER_HPP
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								#define BOOST_MULTI_INDEX_DETAIL_INDEX_MATCHER_HPP
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								#if defined(_MSC_VER)
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								#pragma once
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								#endif
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								#include <boost/config.hpp> /* keep it first to prevent nasty warns in MSVC */
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								#include <algorithm>
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								#include <boost/noncopyable.hpp>
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								#include <boost/multi_index/detail/auto_space.hpp>
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								#include <boost/multi_index/detail/raw_ptr.hpp>
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								#include <cstddef>
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								#include <functional>
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								namespace boost{
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								namespace multi_index{
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								namespace detail{
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								/* index_matcher compares a sequence of elements against a
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								 * base sequence, identifying those elements that belong to the
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								 * longest subsequence which is ordered with respect to the base.
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								 * For instance, if the base sequence is:
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								 *
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								 *   0 1 2 3 4 5 6 7 8 9
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								 *
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								 * and the compared sequence (not necesarilly the same length):
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								 *
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								 *   1 4 2 3 0 7 8 9
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								 *
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								 * the elements of the longest ordered subsequence are:
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								 *
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								 *   1 2 3 7 8 9
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								 * 
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								 * The algorithm for obtaining such a subsequence is called
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								 * Patience Sorting, described in ch. 1 of:
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								 *   Aldous, D., Diaconis, P.: "Longest increasing subsequences: from
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								 *   patience sorting to the Baik-Deift-Johansson Theorem", Bulletin
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								 *   of the American Mathematical Society, vol. 36, no 4, pp. 413-432,
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								 *   July 1999.
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								 *   http://www.ams.org/bull/1999-36-04/S0273-0979-99-00796-X/
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								 *   S0273-0979-99-00796-X.pdf
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								 *
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								 * This implementation is not fully generic since it assumes that
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								 * the sequences given are pointed to by index iterators (having a
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								 * get_node() memfun.)
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								 */
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								namespace index_matcher{
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								/* The algorithm stores the nodes of the base sequence and a number
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								 * of "piles" that are dynamically updated during the calculation
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								 * stage. From a logical point of view, nodes form an independent
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								 * sequence from piles. They are stored together so as to minimize
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								 * allocated memory.
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								 */
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								struct entry
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								{
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								  entry(void* node_,std::size_t pos_=0):node(node_),pos(pos_){}
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								  /* node stuff */
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								  void*       node;
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								  std::size_t pos;
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								  entry*      previous;
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								  bool        ordered;
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								  struct less_by_node
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								  {
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								    bool operator()(
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								      const entry& x,const entry& y)const
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								    {
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								      return std::less<void*>()(x.node,y.node);
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								    }
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								  };
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								  /* pile stuff */
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								  std::size_t pile_top;
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								  entry*      pile_top_entry;
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								  struct less_by_pile_top
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								  {
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								    bool operator()(
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								      const entry& x,const entry& y)const
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								    {
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								      return x.pile_top<y.pile_top;
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								    }
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								  };
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								};
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								/* common code operating on void *'s */
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								template<typename Allocator>
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								class algorithm_base:private noncopyable
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								{
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								protected:
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								  algorithm_base(const Allocator& al,std::size_t size):
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								    spc(al,size),size_(size),n_(0),sorted(false)
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								  {
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								  }
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								  void add(void* node)
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								  {
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								    entries()[n_]=entry(node,n_);
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								    ++n_;
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								  }
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								  void begin_algorithm()const
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								  {
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								    if(!sorted){
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								      std::sort(entries(),entries()+size_,entry::less_by_node());
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								      sorted=true;
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								    }
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								    num_piles=0;
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								  }
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								  void add_node_to_algorithm(void* node)const
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								  {
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								    entry* ent=
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								      std::lower_bound(
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								        entries(),entries()+size_,
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								        entry(node),entry::less_by_node()); /* localize entry */
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								    ent->ordered=false;
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								    std::size_t n=ent->pos;                 /* get its position */
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								    entry dummy(0);
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								    dummy.pile_top=n;
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								    entry* pile_ent=                        /* find the first available pile */
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								      std::lower_bound(                     /* to stack the entry            */
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								        entries(),entries()+num_piles,
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								        dummy,entry::less_by_pile_top());
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								    pile_ent->pile_top=n;                   /* stack the entry */
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								    pile_ent->pile_top_entry=ent;        
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								    /* if not the first pile, link entry to top of the preceding pile */
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								    if(pile_ent>&entries()[0]){ 
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								      ent->previous=(pile_ent-1)->pile_top_entry;
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								    }
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								    if(pile_ent==&entries()[num_piles]){    /* new pile? */
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								      ++num_piles;
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								    }
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								  }
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								  void finish_algorithm()const
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								  {
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								    if(num_piles>0){
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								      /* Mark those elements which are in their correct position, i.e. those
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								       * belonging to the longest increasing subsequence. These are those
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								       * elements linked from the top of the last pile.
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								       */
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								      entry* ent=entries()[num_piles-1].pile_top_entry;
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								      for(std::size_t n=num_piles;n--;){
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								        ent->ordered=true;
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								        ent=ent->previous;
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								      }
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								    }
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								  }
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								  bool is_ordered(void * node)const
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								  {
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								    return std::lower_bound(
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								      entries(),entries()+size_,
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								      entry(node),entry::less_by_node())->ordered;
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								  }
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								private:
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								  entry* entries()const{return raw_ptr<entry*>(spc.data());}
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								  auto_space<entry,Allocator> spc;
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								  std::size_t                 size_;
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								  std::size_t                 n_;
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								  mutable bool                sorted;
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								  mutable std::size_t         num_piles;
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								};
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								/* The algorithm has three phases:
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								 *   - Initialization, during which the nodes of the base sequence are added.
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								 *   - Execution.
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								 *   - Results querying, through the is_ordered memfun.
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								 */
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								template<typename Node,typename Allocator>
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								class algorithm:private algorithm_base<Allocator>
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								{
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								  typedef algorithm_base<Allocator> super;
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								public:
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								  algorithm(const Allocator& al,std::size_t size):super(al,size){}
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								  void add(Node* node)
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								  {
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								    super::add(node);
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								  }
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								  template<typename IndexIterator>
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								  void execute(IndexIterator first,IndexIterator last)const
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								  {
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								    super::begin_algorithm();
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								    for(IndexIterator it=first;it!=last;++it){
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								      add_node_to_algorithm(get_node(it));
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								    }
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								    super::finish_algorithm();
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								  }
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								  bool is_ordered(Node* node)const
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								  {
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								    return super::is_ordered(node);
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								  }
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								private:
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								  void add_node_to_algorithm(Node* node)const
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								  {
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								    super::add_node_to_algorithm(node);
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								  }
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								  template<typename IndexIterator>
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								  static Node* get_node(IndexIterator it)
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								  {
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								    return static_cast<Node*>(it.get_node());
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								  }
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								};
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								} /* namespace multi_index::detail::index_matcher */
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								} /* namespace multi_index::detail */
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								} /* namespace multi_index */
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								} /* namespace boost */
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								#endif
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