1 /////////////////////////////////////////////////////////////////////////////
2 //
3 // (C) Copyright Ion Gaztanaga  2007-2014
4 //
5 // Distributed under the Boost Software License, Version 1.0.
6 //    (See accompanying file LICENSE_1_0.txt or copy at
7 //          http://www.boost.org/LICENSE_1_0.txt)
8 //
9 // See http://www.boost.org/libs/intrusive for documentation.
10 //
11 /////////////////////////////////////////////////////////////////////////////
12 // The implementation of splay trees is based on the article and code published
13 // in C++ Users Journal "Implementing Splay Trees in C++" (September 1, 2005).
14 //
15 // The splay code has been modified and (supposedly) improved by Ion Gaztanaga.
16 //
17 // Here is the copyright notice of the original file containing the splay code:
18 //
19 //  splay_tree.h -- implementation of a STL compatible splay tree.
20 //
21 //  Copyright (c) 2004 Ralf Mattethat
22 //
23 //  Permission to copy, use, modify, sell and distribute this software
24 //  is granted provided this copyright notice appears in all copies.
25 //  This software is provided "as is" without express or implied
26 //  warranty, and with no claim as to its suitability for any purpose.
27 //
28 /////////////////////////////////////////////////////////////////////////////
29 
30 #ifndef BOOST_INTRUSIVE_SPLAYTREE_ALGORITHMS_HPP
31 #define BOOST_INTRUSIVE_SPLAYTREE_ALGORITHMS_HPP
32 
33 #include <boost/intrusive/detail/config_begin.hpp>
34 #include <boost/intrusive/intrusive_fwd.hpp>
35 #include <boost/intrusive/detail/assert.hpp>
36 #include <boost/intrusive/detail/algo_type.hpp>
37 #include <boost/intrusive/detail/uncast.hpp>
38 #include <boost/intrusive/bstree_algorithms.hpp>
39 
40 #include <cstddef>
41 
42 #if defined(BOOST_HAS_PRAGMA_ONCE)
43 #  pragma once
44 #endif
45 
46 namespace boost {
47 namespace intrusive {
48 
49 /// @cond
50 namespace detail {
51 
52 template<class NodeTraits>
53 struct splaydown_assemble_and_fix_header
54 {
55    typedef typename NodeTraits::node_ptr node_ptr;
56 
splaydown_assemble_and_fix_headerboost::intrusive::detail::splaydown_assemble_and_fix_header57    splaydown_assemble_and_fix_header(const node_ptr & t, const node_ptr & header, const node_ptr &leftmost, const node_ptr &rightmost)
58       : t_(t)
59       , null_node_(header)
60       , l_(null_node_)
61       , r_(null_node_)
62       , leftmost_(leftmost)
63       , rightmost_(rightmost)
64    {}
65 
~splaydown_assemble_and_fix_headerboost::intrusive::detail::splaydown_assemble_and_fix_header66    ~splaydown_assemble_and_fix_header()
67    {
68       this->assemble();
69 
70       //Now recover the original header except for the
71       //splayed root node.
72       //"t_" is the current root and "null_node_" is the header node
73       NodeTraits::set_parent(null_node_, t_);
74       NodeTraits::set_parent(t_, null_node_);
75       //Recover leftmost/rightmost pointers
76       NodeTraits::set_left (null_node_, leftmost_);
77       NodeTraits::set_right(null_node_, rightmost_);
78    }
79 
80    private:
81 
assembleboost::intrusive::detail::splaydown_assemble_and_fix_header82    void assemble()
83    {
84       //procedure assemble;
85       //    left(r), right(l) := right(t), left(t);
86       //    left(t), right(t) := right(null), left(null);
87       //end assemble;
88       {  //    left(r), right(l) := right(t), left(t);
89 
90          node_ptr const old_t_left  = NodeTraits::get_left(t_);
91          node_ptr const old_t_right = NodeTraits::get_right(t_);
92          NodeTraits::set_right(l_, old_t_left);
93          NodeTraits::set_left (r_, old_t_right);
94          if(old_t_left){
95             NodeTraits::set_parent(old_t_left, l_);
96          }
97          if(old_t_right){
98             NodeTraits::set_parent(old_t_right, r_);
99          }
100       }
101       {  //    left(t), right(t) := right(null), left(null);
102          node_ptr const null_right = NodeTraits::get_right(null_node_);
103          node_ptr const null_left  = NodeTraits::get_left(null_node_);
104          NodeTraits::set_left (t_, null_right);
105          NodeTraits::set_right(t_, null_left);
106          if(null_right){
107             NodeTraits::set_parent(null_right, t_);
108          }
109          if(null_left){
110             NodeTraits::set_parent(null_left, t_);
111          }
112       }
113    }
114 
115    public:
116    node_ptr t_, null_node_, l_, r_, leftmost_, rightmost_;
117 };
118 
119 }  //namespace detail {
120 /// @endcond
121 
122 //!   A splay tree is an implementation of a binary search tree. The tree is
123 //!   self balancing using the splay algorithm as described in
124 //!
125 //!      "Self-Adjusting Binary Search Trees
126 //!      by Daniel Dominic Sleator and Robert Endre Tarjan
127 //!      AT&T Bell Laboratories, Murray Hill, NJ
128 //!      Journal of the ACM, Vol 32, no 3, July 1985, pp 652-686
129 //!
130 //! splaytree_algorithms is configured with a NodeTraits class, which encapsulates the
131 //! information about the node to be manipulated. NodeTraits must support the
132 //! following interface:
133 //!
134 //! <b>Typedefs</b>:
135 //!
136 //! <tt>node</tt>: The type of the node that forms the binary search tree
137 //!
138 //! <tt>node_ptr</tt>: A pointer to a node
139 //!
140 //! <tt>const_node_ptr</tt>: A pointer to a const node
141 //!
142 //! <b>Static functions</b>:
143 //!
144 //! <tt>static node_ptr get_parent(const_node_ptr n);</tt>
145 //!
146 //! <tt>static void set_parent(node_ptr n, node_ptr parent);</tt>
147 //!
148 //! <tt>static node_ptr get_left(const_node_ptr n);</tt>
149 //!
150 //! <tt>static void set_left(node_ptr n, node_ptr left);</tt>
151 //!
152 //! <tt>static node_ptr get_right(const_node_ptr n);</tt>
153 //!
154 //! <tt>static void set_right(node_ptr n, node_ptr right);</tt>
155 template<class NodeTraits>
156 class splaytree_algorithms
157    #ifndef BOOST_INTRUSIVE_DOXYGEN_INVOKED
158    : public bstree_algorithms<NodeTraits>
159    #endif
160 {
161    /// @cond
162    private:
163    typedef bstree_algorithms<NodeTraits> bstree_algo;
164    /// @endcond
165 
166    public:
167    typedef typename NodeTraits::node            node;
168    typedef NodeTraits                           node_traits;
169    typedef typename NodeTraits::node_ptr        node_ptr;
170    typedef typename NodeTraits::const_node_ptr  const_node_ptr;
171 
172    //! This type is the information that will be
173    //! filled by insert_unique_check
174    typedef typename bstree_algo::insert_commit_data insert_commit_data;
175 
176    public:
177    #ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
178    //! @copydoc ::boost::intrusive::bstree_algorithms::get_header(const const_node_ptr&)
179    static node_ptr get_header(const const_node_ptr & n);
180 
181    //! @copydoc ::boost::intrusive::bstree_algorithms::begin_node
182    static node_ptr begin_node(const const_node_ptr & header);
183 
184    //! @copydoc ::boost::intrusive::bstree_algorithms::end_node
185    static node_ptr end_node(const const_node_ptr & header);
186 
187    //! @copydoc ::boost::intrusive::bstree_algorithms::swap_tree
188    static void swap_tree(const node_ptr & header1, const node_ptr & header2);
189 
190    //! @copydoc ::boost::intrusive::bstree_algorithms::swap_nodes(const node_ptr&,const node_ptr&)
191    static void swap_nodes(const node_ptr & node1, const node_ptr & node2);
192 
193    //! @copydoc ::boost::intrusive::bstree_algorithms::swap_nodes(const node_ptr&,const node_ptr&,const node_ptr&,const node_ptr&)
194    static void swap_nodes(const node_ptr & node1, const node_ptr & header1, const node_ptr & node2, const node_ptr & header2);
195 
196    //! @copydoc ::boost::intrusive::bstree_algorithms::replace_node(const node_ptr&,const node_ptr&)
197    static void replace_node(const node_ptr & node_to_be_replaced, const node_ptr & new_node);
198 
199    //! @copydoc ::boost::intrusive::bstree_algorithms::replace_node(const node_ptr&,const node_ptr&,const node_ptr&)
200    static void replace_node(const node_ptr & node_to_be_replaced, const node_ptr & header, const node_ptr & new_node);
201 
202    //! @copydoc ::boost::intrusive::bstree_algorithms::unlink(const node_ptr&)
203    static void unlink(const node_ptr & node);
204 
205    //! @copydoc ::boost::intrusive::bstree_algorithms::unlink_leftmost_without_rebalance
206    static node_ptr unlink_leftmost_without_rebalance(const node_ptr & header);
207 
208    //! @copydoc ::boost::intrusive::bstree_algorithms::unique(const const_node_ptr&)
209    static bool unique(const const_node_ptr & node);
210 
211    //! @copydoc ::boost::intrusive::bstree_algorithms::size(const const_node_ptr&)
212    static std::size_t size(const const_node_ptr & header);
213 
214    //! @copydoc ::boost::intrusive::bstree_algorithms::next_node(const node_ptr&)
215    static node_ptr next_node(const node_ptr & node);
216 
217    //! @copydoc ::boost::intrusive::bstree_algorithms::prev_node(const node_ptr&)
218    static node_ptr prev_node(const node_ptr & node);
219 
220    //! @copydoc ::boost::intrusive::bstree_algorithms::init(const node_ptr&)
221    static void init(const node_ptr & node);
222 
223    //! @copydoc ::boost::intrusive::bstree_algorithms::init_header(const node_ptr&)
224    static void init_header(const node_ptr & header);
225 
226    #endif   //#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
227 
228    //! @copydoc ::boost::intrusive::bstree_algorithms::erase(const node_ptr&,const node_ptr&)
229    //! Additional notes: the previous node of z is splayed to speed up range deletions.
erase(const node_ptr & header,const node_ptr & z)230    static void erase(const node_ptr & header, const node_ptr & z)
231    {
232       //posibility 1
233       if(NodeTraits::get_left(z)){
234          splay_up(bstree_algo::prev_node(z), header);
235       }
236 
237       //possibility 2
238       //if(NodeTraits::get_left(z)){
239       //   node_ptr l = NodeTraits::get_left(z);
240       //   splay_up(l, header);
241       //}
242 
243       //if(NodeTraits::get_left(z)){
244       //   node_ptr l = bstree_algo::prev_node(z);
245       //   splay_up_impl(l, z);
246       //}
247 
248       //possibility 4
249       //splay_up(z, header);
250 
251       bstree_algo::erase(header, z);
252    }
253 
254    //! @copydoc ::boost::intrusive::bstree_algorithms::transfer_unique
255    template<class NodePtrCompare>
transfer_unique(const node_ptr & header1,NodePtrCompare comp,const node_ptr & header2,const node_ptr & z)256    static bool transfer_unique
257       (const node_ptr & header1, NodePtrCompare comp, const node_ptr &header2, const node_ptr & z)
258    {
259       typename bstree_algo::insert_commit_data commit_data;
260       bool const transferable = bstree_algo::insert_unique_check(header1, z, comp, commit_data).second;
261       if(transferable){
262          erase(header2, z);
263          bstree_algo::insert_commit(header1, z, commit_data);
264          splay_up(z, header1);
265       }
266       return transferable;
267    }
268 
269    //! @copydoc ::boost::intrusive::bstree_algorithms::transfer_equal
270    template<class NodePtrCompare>
transfer_equal(const node_ptr & header1,NodePtrCompare comp,const node_ptr & header2,const node_ptr & z)271    static void transfer_equal
272       (const node_ptr & header1, NodePtrCompare comp, const node_ptr &header2, const node_ptr & z)
273    {
274       insert_commit_data commit_data;
275       splay_down(header1, z, comp);
276       bstree_algo::insert_equal_upper_bound_check(header1, z, comp, commit_data);
277       erase(header2, z);
278       bstree_algo::insert_commit(header1, z, commit_data);
279    }
280 
281    #ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
282    //! @copydoc ::boost::intrusive::bstree_algorithms::clone(const const_node_ptr&,const node_ptr&,Cloner,Disposer)
283    template <class Cloner, class Disposer>
284    static void clone
285       (const const_node_ptr & source_header, const node_ptr & target_header, Cloner cloner, Disposer disposer);
286 
287    //! @copydoc ::boost::intrusive::bstree_algorithms::clear_and_dispose(const node_ptr&,Disposer)
288    template<class Disposer>
289    static void clear_and_dispose(const node_ptr & header, Disposer disposer);
290 
291    #endif   //#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
292    //! @copydoc ::boost::intrusive::bstree_algorithms::count(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
293    //! Additional notes: an element with key `key` is splayed.
294    template<class KeyType, class KeyNodePtrCompare>
count(const node_ptr & header,const KeyType & key,KeyNodePtrCompare comp)295    static std::size_t count
296       (const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
297    {
298       std::pair<node_ptr, node_ptr> ret = equal_range(header, key, comp);
299       std::size_t n = 0;
300       while(ret.first != ret.second){
301          ++n;
302          ret.first = next_node(ret.first);
303       }
304       return n;
305    }
306 
307    //! @copydoc ::boost::intrusive::bstree_algorithms::count(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
308    //! Additional note: no splaying is performed
309    template<class KeyType, class KeyNodePtrCompare>
count(const const_node_ptr & header,const KeyType & key,KeyNodePtrCompare comp)310    static std::size_t count
311       (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
312    {  return bstree_algo::count(header, key, comp);  }
313 
314    //! @copydoc ::boost::intrusive::bstree_algorithms::lower_bound(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
315    //! Additional notes: the first node of the range is splayed.
316    template<class KeyType, class KeyNodePtrCompare>
lower_bound(const node_ptr & header,const KeyType & key,KeyNodePtrCompare comp)317    static node_ptr lower_bound
318       (const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
319    {
320       splay_down(detail::uncast(header), key, comp);
321       node_ptr y = bstree_algo::lower_bound(header, key, comp);
322       //splay_up(y, detail::uncast(header));
323       return y;
324    }
325 
326    //! @copydoc ::boost::intrusive::bstree_algorithms::lower_bound(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
327    //! Additional note: no splaying is performed
328    template<class KeyType, class KeyNodePtrCompare>
lower_bound(const const_node_ptr & header,const KeyType & key,KeyNodePtrCompare comp)329    static node_ptr lower_bound
330       (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
331    {  return bstree_algo::lower_bound(header, key, comp);  }
332 
333    //! @copydoc ::boost::intrusive::bstree_algorithms::upper_bound(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
334    //! Additional notes: the first node of the range is splayed.
335    template<class KeyType, class KeyNodePtrCompare>
upper_bound(const node_ptr & header,const KeyType & key,KeyNodePtrCompare comp)336    static node_ptr upper_bound
337       (const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
338    {
339       splay_down(detail::uncast(header), key, comp);
340       node_ptr y = bstree_algo::upper_bound(header, key, comp);
341       //splay_up(y, detail::uncast(header));
342       return y;
343    }
344 
345    //! @copydoc ::boost::intrusive::bstree_algorithms::upper_bound(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
346    //! Additional note: no splaying is performed
347    template<class KeyType, class KeyNodePtrCompare>
upper_bound(const const_node_ptr & header,const KeyType & key,KeyNodePtrCompare comp)348    static node_ptr upper_bound
349       (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
350    {  return bstree_algo::upper_bound(header, key, comp);  }
351 
352    //! @copydoc ::boost::intrusive::bstree_algorithms::find(const const_node_ptr&, const KeyType&,KeyNodePtrCompare)
353    //! Additional notes: the found node of the lower bound is splayed.
354    template<class KeyType, class KeyNodePtrCompare>
find(const node_ptr & header,const KeyType & key,KeyNodePtrCompare comp)355    static node_ptr find
356       (const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
357    {
358       splay_down(detail::uncast(header), key, comp);
359       return bstree_algo::find(header, key, comp);
360    }
361 
362    //! @copydoc ::boost::intrusive::bstree_algorithms::find(const const_node_ptr&, const KeyType&,KeyNodePtrCompare)
363    //! Additional note: no splaying is performed
364    template<class KeyType, class KeyNodePtrCompare>
find(const const_node_ptr & header,const KeyType & key,KeyNodePtrCompare comp)365    static node_ptr find
366       (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
367    {  return bstree_algo::find(header, key, comp);  }
368 
369    //! @copydoc ::boost::intrusive::bstree_algorithms::equal_range(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
370    //! Additional notes: the first node of the range is splayed.
371    template<class KeyType, class KeyNodePtrCompare>
equal_range(const node_ptr & header,const KeyType & key,KeyNodePtrCompare comp)372    static std::pair<node_ptr, node_ptr> equal_range
373       (const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
374    {
375       splay_down(detail::uncast(header), key, comp);
376       std::pair<node_ptr, node_ptr> ret = bstree_algo::equal_range(header, key, comp);
377       //splay_up(ret.first, detail::uncast(header));
378       return ret;
379    }
380 
381    //! @copydoc ::boost::intrusive::bstree_algorithms::equal_range(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
382    //! Additional note: no splaying is performed
383    template<class KeyType, class KeyNodePtrCompare>
equal_range(const const_node_ptr & header,const KeyType & key,KeyNodePtrCompare comp)384    static std::pair<node_ptr, node_ptr> equal_range
385       (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
386    {  return bstree_algo::equal_range(header, key, comp);  }
387 
388    //! @copydoc ::boost::intrusive::bstree_algorithms::lower_bound_range(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
389    //! Additional notes: the first node of the range is splayed.
390    template<class KeyType, class KeyNodePtrCompare>
lower_bound_range(const node_ptr & header,const KeyType & key,KeyNodePtrCompare comp)391    static std::pair<node_ptr, node_ptr> lower_bound_range
392       (const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
393    {
394       splay_down(detail::uncast(header), key, comp);
395       std::pair<node_ptr, node_ptr> ret = bstree_algo::lower_bound_range(header, key, comp);
396       //splay_up(ret.first, detail::uncast(header));
397       return ret;
398    }
399 
400    //! @copydoc ::boost::intrusive::bstree_algorithms::lower_bound_range(const const_node_ptr&,const KeyType&,KeyNodePtrCompare)
401    //! Additional note: no splaying is performed
402    template<class KeyType, class KeyNodePtrCompare>
lower_bound_range(const const_node_ptr & header,const KeyType & key,KeyNodePtrCompare comp)403    static std::pair<node_ptr, node_ptr> lower_bound_range
404       (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp)
405    {  return bstree_algo::lower_bound_range(header, key, comp);  }
406 
407    //! @copydoc ::boost::intrusive::bstree_algorithms::bounded_range(const const_node_ptr&,const KeyType&,const KeyType&,KeyNodePtrCompare,bool,bool)
408    //! Additional notes: the first node of the range is splayed.
409    template<class KeyType, class KeyNodePtrCompare>
bounded_range(const node_ptr & header,const KeyType & lower_key,const KeyType & upper_key,KeyNodePtrCompare comp,bool left_closed,bool right_closed)410    static std::pair<node_ptr, node_ptr> bounded_range
411       (const node_ptr & header, const KeyType &lower_key, const KeyType &upper_key, KeyNodePtrCompare comp
412       , bool left_closed, bool right_closed)
413    {
414       splay_down(detail::uncast(header), lower_key, comp);
415       std::pair<node_ptr, node_ptr> ret =
416          bstree_algo::bounded_range(header, lower_key, upper_key, comp, left_closed, right_closed);
417       //splay_up(ret.first, detail::uncast(header));
418       return ret;
419    }
420 
421    //! @copydoc ::boost::intrusive::bstree_algorithms::bounded_range(const const_node_ptr&,const KeyType&,const KeyType&,KeyNodePtrCompare,bool,bool)
422    //! Additional note: no splaying is performed
423    template<class KeyType, class KeyNodePtrCompare>
bounded_range(const const_node_ptr & header,const KeyType & lower_key,const KeyType & upper_key,KeyNodePtrCompare comp,bool left_closed,bool right_closed)424    static std::pair<node_ptr, node_ptr> bounded_range
425       (const const_node_ptr & header, const KeyType &lower_key, const KeyType &upper_key, KeyNodePtrCompare comp
426       , bool left_closed, bool right_closed)
427    {  return bstree_algo::bounded_range(header, lower_key, upper_key, comp, left_closed, right_closed);  }
428 
429    //! @copydoc ::boost::intrusive::bstree_algorithms::insert_equal_upper_bound(const node_ptr&,const node_ptr&,NodePtrCompare)
430    //! Additional note: the inserted node is splayed
431    template<class NodePtrCompare>
insert_equal_upper_bound(const node_ptr & header,const node_ptr & new_node,NodePtrCompare comp)432    static node_ptr insert_equal_upper_bound
433       (const node_ptr & header, const node_ptr & new_node, NodePtrCompare comp)
434    {
435       splay_down(header, new_node, comp);
436       return bstree_algo::insert_equal_upper_bound(header, new_node, comp);
437    }
438 
439    //! @copydoc ::boost::intrusive::bstree_algorithms::insert_equal_lower_bound(const node_ptr&,const node_ptr&,NodePtrCompare)
440    //! Additional note: the inserted node is splayed
441    template<class NodePtrCompare>
insert_equal_lower_bound(const node_ptr & header,const node_ptr & new_node,NodePtrCompare comp)442    static node_ptr insert_equal_lower_bound
443       (const node_ptr & header, const node_ptr & new_node, NodePtrCompare comp)
444    {
445       splay_down(header, new_node, comp);
446       return bstree_algo::insert_equal_lower_bound(header, new_node, comp);
447    }
448 
449    //! @copydoc ::boost::intrusive::bstree_algorithms::insert_equal(const node_ptr&,const node_ptr&,const node_ptr&,NodePtrCompare)
450    //! Additional note: the inserted node is splayed
451    template<class NodePtrCompare>
insert_equal(const node_ptr & header,const node_ptr & hint,const node_ptr & new_node,NodePtrCompare comp)452    static node_ptr insert_equal
453       (const node_ptr & header, const node_ptr & hint, const node_ptr & new_node, NodePtrCompare comp)
454    {
455       splay_down(header, new_node, comp);
456       return bstree_algo::insert_equal(header, hint, new_node, comp);
457    }
458 
459    //! @copydoc ::boost::intrusive::bstree_algorithms::insert_before(const node_ptr&,const node_ptr&,const node_ptr&)
460    //! Additional note: the inserted node is splayed
insert_before(const node_ptr & header,const node_ptr & pos,const node_ptr & new_node)461    static node_ptr insert_before
462       (const node_ptr & header, const node_ptr & pos, const node_ptr & new_node)
463    {
464       bstree_algo::insert_before(header, pos, new_node);
465       splay_up(new_node, header);
466       return new_node;
467    }
468 
469    //! @copydoc ::boost::intrusive::bstree_algorithms::push_back(const node_ptr&,const node_ptr&)
470    //! Additional note: the inserted node is splayed
push_back(const node_ptr & header,const node_ptr & new_node)471    static void push_back(const node_ptr & header, const node_ptr & new_node)
472    {
473       bstree_algo::push_back(header, new_node);
474       splay_up(new_node, header);
475    }
476 
477    //! @copydoc ::boost::intrusive::bstree_algorithms::push_front(const node_ptr&,const node_ptr&)
478    //! Additional note: the inserted node is splayed
push_front(const node_ptr & header,const node_ptr & new_node)479    static void push_front(const node_ptr & header, const node_ptr & new_node)
480    {
481       bstree_algo::push_front(header, new_node);
482       splay_up(new_node, header);
483    }
484 
485    //! @copydoc ::boost::intrusive::bstree_algorithms::insert_unique_check(const const_node_ptr&,const KeyType&,KeyNodePtrCompare,insert_commit_data&)
486    //! Additional note: nodes with the given key are splayed
487    template<class KeyType, class KeyNodePtrCompare>
insert_unique_check(const node_ptr & header,const KeyType & key,KeyNodePtrCompare comp,insert_commit_data & commit_data)488    static std::pair<node_ptr, bool> insert_unique_check
489       (const node_ptr & header, const KeyType &key
490       ,KeyNodePtrCompare comp, insert_commit_data &commit_data)
491    {
492       splay_down(header, key, comp);
493       return bstree_algo::insert_unique_check(header, key, comp, commit_data);
494    }
495 
496    //! @copydoc ::boost::intrusive::bstree_algorithms::insert_unique_check(const const_node_ptr&,const node_ptr&,const KeyType&,KeyNodePtrCompare,insert_commit_data&)
497    //! Additional note: nodes with the given key are splayed
498    template<class KeyType, class KeyNodePtrCompare>
insert_unique_check(const node_ptr & header,const node_ptr & hint,const KeyType & key,KeyNodePtrCompare comp,insert_commit_data & commit_data)499    static std::pair<node_ptr, bool> insert_unique_check
500       (const node_ptr & header, const node_ptr &hint, const KeyType &key
501       ,KeyNodePtrCompare comp, insert_commit_data &commit_data)
502    {
503       splay_down(header, key, comp);
504       return bstree_algo::insert_unique_check(header, hint, key, comp, commit_data);
505    }
506 
507    #ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
508    //! @copydoc ::boost::intrusive::bstree_algorithms::insert_unique_commit(const node_ptr&,const node_ptr&,const insert_commit_data&)
509    static void insert_unique_commit
510       (const node_ptr & header, const node_ptr & new_value, const insert_commit_data &commit_data);
511 
512    //! @copydoc ::boost::intrusive::bstree_algorithms::is_header
513    static bool is_header(const const_node_ptr & p);
514 
515    //! @copydoc ::boost::intrusive::bstree_algorithms::rebalance
516    static void rebalance(const node_ptr & header);
517 
518    //! @copydoc ::boost::intrusive::bstree_algorithms::rebalance_subtree
519    static node_ptr rebalance_subtree(const node_ptr & old_root);
520 
521    #endif   //#ifdef BOOST_INTRUSIVE_DOXYGEN_INVOKED
522 
523    // bottom-up splay, use data_ as parent for n    | complexity : logarithmic    | exception : nothrow
splay_up(const node_ptr & node,const node_ptr & header)524    static void splay_up(const node_ptr & node, const node_ptr & header)
525    {  priv_splay_up<true>(node, header); }
526 
527    // top-down splay | complexity : logarithmic    | exception : strong, note A
528    template<class KeyType, class KeyNodePtrCompare>
splay_down(const node_ptr & header,const KeyType & key,KeyNodePtrCompare comp,bool * pfound=0)529    static node_ptr splay_down(const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp, bool *pfound = 0)
530    {  return priv_splay_down<true>(header, key, comp, pfound);   }
531 
532    private:
533 
534    /// @cond
535 
536    // bottom-up splay, use data_ as parent for n    | complexity : logarithmic    | exception : nothrow
537    template<bool SimpleSplay>
priv_splay_up(const node_ptr & node,const node_ptr & header)538    static void priv_splay_up(const node_ptr & node, const node_ptr & header)
539    {
540       // If (node == header) do a splay for the right most node instead
541       // this is to boost performance of equal_range/count on equivalent containers in the case
542       // where there are many equal elements at the end
543       node_ptr n((node == header) ? NodeTraits::get_right(header) : node);
544       node_ptr t(header);
545 
546       if( n == t ) return;
547 
548       for( ;; ){
549          node_ptr p(NodeTraits::get_parent(n));
550          node_ptr g(NodeTraits::get_parent(p));
551 
552          if( p == t )   break;
553 
554          if( g == t ){
555             // zig
556             rotate(n);
557          }
558          else if ((NodeTraits::get_left(p) == n && NodeTraits::get_left(g) == p)    ||
559                   (NodeTraits::get_right(p) == n && NodeTraits::get_right(g) == p)  ){
560             // zig-zig
561             rotate(p);
562             rotate(n);
563          }
564          else {
565             // zig-zag
566             rotate(n);
567             if(!SimpleSplay){
568                rotate(n);
569             }
570          }
571       }
572    }
573 
574    template<bool SimpleSplay, class KeyType, class KeyNodePtrCompare>
priv_splay_down(const node_ptr & header,const KeyType & key,KeyNodePtrCompare comp,bool * pfound=0)575    static node_ptr priv_splay_down(const node_ptr & header, const KeyType &key, KeyNodePtrCompare comp, bool *pfound = 0)
576    {
577       //Most splay tree implementations use a dummy/null node to implement.
578       //this function. This has some problems for a generic library like Intrusive:
579       //
580       // * The node might not have a default constructor.
581       // * The default constructor could throw.
582       //
583       //We already have a header node. Leftmost and rightmost nodes of the tree
584       //are not changed when splaying (because the invariants of the tree don't
585       //change) We can back up them, use the header as the null node and
586       //reassign old values after the function has been completed.
587       node_ptr const old_root  = NodeTraits::get_parent(header);
588       node_ptr const leftmost  = NodeTraits::get_left(header);
589       node_ptr const rightmost = NodeTraits::get_right(header);
590       if(leftmost == rightmost){ //Empty or unique node
591          if(pfound){
592             *pfound = old_root && !comp(key, old_root) && !comp(old_root, key);
593          }
594          return old_root ? old_root : header;
595       }
596       else{
597          //Initialize "null node" (the header in our case)
598          NodeTraits::set_left (header, node_ptr());
599          NodeTraits::set_right(header, node_ptr());
600          //Class that will backup leftmost/rightmost from header, commit the assemble(),
601          //and will restore leftmost/rightmost to header even if "comp" throws
602          detail::splaydown_assemble_and_fix_header<NodeTraits> commit(old_root, header, leftmost, rightmost);
603          bool found = false;
604 
605          for( ;; ){
606             if(comp(key, commit.t_)){
607                node_ptr const t_left = NodeTraits::get_left(commit.t_);
608                if(!t_left)
609                   break;
610                if(comp(key, t_left)){
611                   bstree_algo::rotate_right_no_parent_fix(commit.t_, t_left);
612                   commit.t_ = t_left;
613                   if( !NodeTraits::get_left(commit.t_) )
614                      break;
615                   link_right(commit.t_, commit.r_);
616                }
617                else{
618                   link_right(commit.t_, commit.r_);
619                   if(!SimpleSplay && comp(t_left, key)){
620                      if( !NodeTraits::get_right(commit.t_) )
621                         break;
622                      link_left(commit.t_, commit.l_);
623                   }
624                }
625             }
626             else if(comp(commit.t_, key)){
627                node_ptr const t_right = NodeTraits::get_right(commit.t_);
628                if(!t_right)
629                   break;
630 
631                if(comp(t_right, key)){
632                      bstree_algo::rotate_left_no_parent_fix(commit.t_, t_right);
633                      commit.t_ = t_right;
634                      if( !NodeTraits::get_right(commit.t_) )
635                         break;
636                      link_left(commit.t_, commit.l_);
637                }
638                else{
639                   link_left(commit.t_, commit.l_);
640                   if(!SimpleSplay && comp(key, t_right)){
641                      if( !NodeTraits::get_left(commit.t_) )
642                         break;
643                      link_right(commit.t_, commit.r_);
644                   }
645                }
646             }
647             else{
648                found = true;
649                break;
650             }
651          }
652 
653          //commit.~splaydown_assemble_and_fix_header<NodeTraits>() will first
654          //"assemble()" + link the new root & recover header's leftmost & rightmost
655          if(pfound){
656             *pfound = found;
657          }
658          return commit.t_;
659       }
660    }
661 
662    // break link to left child node and attach it to left tree pointed to by l   | complexity : constant | exception : nothrow
link_left(node_ptr & t,node_ptr & l)663    static void link_left(node_ptr & t, node_ptr & l)
664    {
665       //procedure link_left;
666       //    t, l, right(l) := right(t), t, t
667       //end link_left
668       NodeTraits::set_right(l, t);
669       NodeTraits::set_parent(t, l);
670       l = t;
671       t = NodeTraits::get_right(t);
672    }
673 
674    // break link to right child node and attach it to right tree pointed to by r | complexity : constant | exception : nothrow
link_right(node_ptr & t,node_ptr & r)675    static void link_right(node_ptr & t, node_ptr & r)
676    {
677       //procedure link_right;
678       //    t, r, left(r) := left(t), t, t
679       //end link_right;
680       NodeTraits::set_left(r, t);
681       NodeTraits::set_parent(t, r);
682       r = t;
683       t = NodeTraits::get_left(t);
684    }
685 
686    // rotate n with its parent                     | complexity : constant    | exception : nothrow
rotate(const node_ptr & n)687    static void rotate(const node_ptr & n)
688    {
689       //procedure rotate_left;
690       //    t, right(t), left(right(t)) := right(t), left(right(t)), t
691       //end rotate_left;
692       node_ptr p = NodeTraits::get_parent(n);
693       node_ptr g = NodeTraits::get_parent(p);
694       //Test if g is header before breaking tree
695       //invariants that would make is_header invalid
696       bool g_is_header = bstree_algo::is_header(g);
697 
698       if(NodeTraits::get_left(p) == n){
699          NodeTraits::set_left(p, NodeTraits::get_right(n));
700          if(NodeTraits::get_left(p))
701             NodeTraits::set_parent(NodeTraits::get_left(p), p);
702          NodeTraits::set_right(n, p);
703       }
704       else{ // must be ( p->right == n )
705          NodeTraits::set_right(p, NodeTraits::get_left(n));
706          if(NodeTraits::get_right(p))
707             NodeTraits::set_parent(NodeTraits::get_right(p), p);
708          NodeTraits::set_left(n, p);
709       }
710 
711       NodeTraits::set_parent(p, n);
712       NodeTraits::set_parent(n, g);
713 
714       if(g_is_header){
715          if(NodeTraits::get_parent(g) == p)
716             NodeTraits::set_parent(g, n);
717          else{//must be ( g->right == p )
718             BOOST_INTRUSIVE_INVARIANT_ASSERT(false);
719             NodeTraits::set_right(g, n);
720          }
721       }
722       else{
723          if(NodeTraits::get_left(g) == p)
724             NodeTraits::set_left(g, n);
725          else  //must be ( g->right == p )
726             NodeTraits::set_right(g, n);
727       }
728    }
729 
730    /// @endcond
731 };
732 
733 /// @cond
734 
735 template<class NodeTraits>
736 struct get_algo<SplayTreeAlgorithms, NodeTraits>
737 {
738    typedef splaytree_algorithms<NodeTraits> type;
739 };
740 
741 template <class ValueTraits, class NodePtrCompare, class ExtraChecker>
742 struct get_node_checker<SplayTreeAlgorithms, ValueTraits, NodePtrCompare, ExtraChecker>
743 {
744    typedef detail::bstree_node_checker<ValueTraits, NodePtrCompare, ExtraChecker> type;
745 };
746 
747 /// @endcond
748 
749 } //namespace intrusive
750 } //namespace boost
751 
752 #include <boost/intrusive/detail/config_end.hpp>
753 
754 #endif //BOOST_INTRUSIVE_SPLAYTREE_ALGORITHMS_HPP
755