You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and dots ('.'), can be up to 35 characters long. Letters must be lowercase.
248 lines
5.9 KiB
248 lines
5.9 KiB
/* Copyright 2003-2008 Joaquin M Lopez Munoz. |
|
* 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/multi_index for library home page. |
|
*/ |
|
|
|
#ifndef BOOST_MULTI_INDEX_DETAIL_INDEX_MATCHER_HPP |
|
#define BOOST_MULTI_INDEX_DETAIL_INDEX_MATCHER_HPP |
|
|
|
#if defined(_MSC_VER)&&(_MSC_VER>=1200) |
|
#pragma once |
|
#endif |
|
|
|
#include <boost/config.hpp> /* keep it first to prevent nasty warns in MSVC */ |
|
#include <algorithm> |
|
#include <boost/noncopyable.hpp> |
|
#include <boost/multi_index/detail/auto_space.hpp> |
|
#include <cstddef> |
|
#include <functional> |
|
|
|
namespace boost{ |
|
|
|
namespace multi_index{ |
|
|
|
namespace detail{ |
|
|
|
/* index_matcher compares a sequence of elements against a |
|
* base sequence, identifying those elements that belong to the |
|
* longest subsequence which is ordered with respect to the base. |
|
* For instance, if the base sequence is: |
|
* |
|
* 0 1 2 3 4 5 6 7 8 9 |
|
* |
|
* and the compared sequence (not necesarilly the same length): |
|
* |
|
* 1 4 2 3 0 7 8 9 |
|
* |
|
* the elements of the longest ordered subsequence are: |
|
* |
|
* 1 2 3 7 8 9 |
|
* |
|
* The algorithm for obtaining such a subsequence is called |
|
* Patience Sorting, described in ch. 1 of: |
|
* Aldous, D., Diaconis, P.: "Longest increasing subsequences: from |
|
* patience sorting to the Baik-Deift-Johansson Theorem", Bulletin |
|
* of the American Mathematical Society, vol. 36, no 4, pp. 413-432, |
|
* July 1999. |
|
* http://www.ams.org/bull/1999-36-04/S0273-0979-99-00796-X/ |
|
* S0273-0979-99-00796-X.pdf |
|
* |
|
* This implementation is not fully generic since it assumes that |
|
* the sequences given are pointed to by index iterators (having a |
|
* get_node() memfun.) |
|
*/ |
|
|
|
namespace index_matcher{ |
|
|
|
/* The algorithm stores the nodes of the base sequence and a number |
|
* of "piles" that are dynamically updated during the calculation |
|
* stage. From a logical point of view, nodes form an independent |
|
* sequence from piles. They are stored together so as to minimize |
|
* allocated memory. |
|
*/ |
|
|
|
struct entry |
|
{ |
|
entry(void* node_,std::size_t pos_=0):node(node_),pos(pos_){} |
|
|
|
/* node stuff */ |
|
|
|
void* node; |
|
std::size_t pos; |
|
entry* previous; |
|
bool ordered; |
|
|
|
struct less_by_node |
|
{ |
|
bool operator()( |
|
const entry& x,const entry& y)const |
|
{ |
|
return std::less<void*>()(x.node,y.node); |
|
} |
|
}; |
|
|
|
/* pile stuff */ |
|
|
|
std::size_t pile_top; |
|
entry* pile_top_entry; |
|
|
|
struct less_by_pile_top |
|
{ |
|
bool operator()( |
|
const entry& x,const entry& y)const |
|
{ |
|
return x.pile_top<y.pile_top; |
|
} |
|
}; |
|
}; |
|
|
|
/* common code operating on void *'s */ |
|
|
|
template<typename Allocator> |
|
class algorithm_base:private noncopyable |
|
{ |
|
protected: |
|
algorithm_base(const Allocator& al,std::size_t size): |
|
spc(al,size),size_(size),n(0),sorted(false) |
|
{ |
|
} |
|
|
|
void add(void* node) |
|
{ |
|
entries()[n]=entry(node,n); |
|
++n; |
|
} |
|
|
|
void begin_algorithm()const |
|
{ |
|
if(!sorted){ |
|
std::sort(entries(),entries()+size_,entry::less_by_node()); |
|
sorted=true; |
|
} |
|
num_piles=0; |
|
} |
|
|
|
void add_node_to_algorithm(void* node)const |
|
{ |
|
entry* ent= |
|
std::lower_bound( |
|
entries(),entries()+size_, |
|
entry(node),entry::less_by_node()); /* localize entry */ |
|
ent->ordered=false; |
|
std::size_t n=ent->pos; /* get its position */ |
|
|
|
entry dummy(0); |
|
dummy.pile_top=n; |
|
|
|
entry* pile_ent= /* find the first available pile */ |
|
std::lower_bound( /* to stack the entry */ |
|
entries(),entries()+num_piles, |
|
dummy,entry::less_by_pile_top()); |
|
|
|
pile_ent->pile_top=n; /* stack the entry */ |
|
pile_ent->pile_top_entry=ent; |
|
|
|
/* if not the first pile, link entry to top of the preceding pile */ |
|
if(pile_ent>&entries()[0]){ |
|
ent->previous=(pile_ent-1)->pile_top_entry; |
|
} |
|
|
|
if(pile_ent==&entries()[num_piles]){ /* new pile? */ |
|
++num_piles; |
|
} |
|
} |
|
|
|
void finish_algorithm()const |
|
{ |
|
if(num_piles>0){ |
|
/* Mark those elements which are in their correct position, i.e. those |
|
* belonging to the longest increasing subsequence. These are those |
|
* elements linked from the top of the last pile. |
|
*/ |
|
|
|
entry* ent=entries()[num_piles-1].pile_top_entry; |
|
for(std::size_t n=num_piles;n--;){ |
|
ent->ordered=true; |
|
ent=ent->previous; |
|
} |
|
} |
|
} |
|
|
|
bool is_ordered(void * node)const |
|
{ |
|
return std::lower_bound( |
|
entries(),entries()+size_, |
|
entry(node),entry::less_by_node())->ordered; |
|
} |
|
|
|
private: |
|
entry* entries()const{return &*spc.data();} |
|
|
|
auto_space<entry,Allocator> spc; |
|
std::size_t size_; |
|
std::size_t n; |
|
mutable bool sorted; |
|
mutable std::size_t num_piles; |
|
}; |
|
|
|
/* The algorithm has three phases: |
|
* - Initialization, during which the nodes of the base sequence are added. |
|
* - Execution. |
|
* - Results querying, through the is_ordered memfun. |
|
*/ |
|
|
|
template<typename Node,typename Allocator> |
|
class algorithm:private algorithm_base<Allocator> |
|
{ |
|
typedef algorithm_base<Allocator> super; |
|
|
|
public: |
|
algorithm(const Allocator& al,std::size_t size):super(al,size){} |
|
|
|
void add(Node* node) |
|
{ |
|
super::add(node); |
|
} |
|
|
|
template<typename IndexIterator> |
|
void execute(IndexIterator first,IndexIterator last)const |
|
{ |
|
super::begin_algorithm(); |
|
|
|
for(IndexIterator it=first;it!=last;++it){ |
|
add_node_to_algorithm(get_node(it)); |
|
} |
|
|
|
super::finish_algorithm(); |
|
} |
|
|
|
bool is_ordered(Node* node)const |
|
{ |
|
return super::is_ordered(node); |
|
} |
|
|
|
private: |
|
void add_node_to_algorithm(Node* node)const |
|
{ |
|
super::add_node_to_algorithm(node); |
|
} |
|
|
|
template<typename IndexIterator> |
|
static Node* get_node(IndexIterator it) |
|
{ |
|
return static_cast<Node*>(it.get_node()); |
|
} |
|
}; |
|
|
|
} /* namespace multi_index::detail::index_matcher */ |
|
|
|
} /* namespace multi_index::detail */ |
|
|
|
} /* namespace multi_index */ |
|
|
|
} /* namespace boost */ |
|
|
|
#endif
|
|
|