1 // RB tree implementation -*- C++ -*-
3 // Copyright (C) 2001, 2002, 2003, 2004, 2005 Free Software Foundation, Inc.
5 // This file is part of the GNU ISO C++ Library. This library is free
6 // software; you can redistribute it and/or modify it under the
7 // terms of the GNU General Public License as published by the
8 // Free Software Foundation; either version 2, or (at your option)
11 // This library is distributed in the hope that it will be useful,
12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14 // GNU General Public License for more details.
16 // You should have received a copy of the GNU General Public License along
17 // with this library; see the file COPYING. If not, write to the Free
18 // Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301,
21 // As a special exception, you may use this file as part of a free software
22 // library without restriction. Specifically, if other files instantiate
23 // templates or use macros or inline functions from this file, or you compile
24 // this file and link it with other files to produce an executable, this
25 // file does not by itself cause the resulting executable to be covered by
26 // the GNU General Public License. This exception does not however
27 // invalidate any other reasons why the executable file might be covered by
28 // the GNU General Public License.
32 * Copyright (c) 1996,1997
33 * Silicon Graphics Computer Systems, Inc.
35 * Permission to use, copy, modify, distribute and sell this software
36 * and its documentation for any purpose is hereby granted without fee,
37 * provided that the above copyright notice appear in all copies and
38 * that both that copyright notice and this permission notice appear
39 * in supporting documentation. Silicon Graphics makes no
40 * representations about the suitability of this software for any
41 * purpose. It is provided "as is" without express or implied warranty.
45 * Hewlett-Packard Company
47 * Permission to use, copy, modify, distribute and sell this software
48 * and its documentation for any purpose is hereby granted without fee,
49 * provided that the above copyright notice appear in all copies and
50 * that both that copyright notice and this permission notice appear
51 * in supporting documentation. Hewlett-Packard Company makes no
52 * representations about the suitability of this software for any
53 * purpose. It is provided "as is" without express or implied warranty.
59 * This is an internal header file, included by other library headers.
60 * You should not attempt to use it directly.
66 #include <bits/stl_algobase.h>
67 #include <bits/allocator.h>
68 #include <bits/stl_construct.h>
69 #include <bits/stl_function.h>
70 #include <bits/cpp_type_traits.h>
74 // Red-black tree class, designed for use in implementing STL
75 // associative containers (set, multiset, map, and multimap). The
76 // insertion and deletion algorithms are based on those in Cormen,
77 // Leiserson, and Rivest, Introduction to Algorithms (MIT Press,
80 // (1) the header cell is maintained with links not only to the root
81 // but also to the leftmost node of the tree, to enable constant
82 // time begin(), and to the rightmost node of the tree, to enable
83 // linear time performance when used with the generic set algorithms
86 // (2) when a node being deleted has two children its successor node
87 // is relinked into its place, rather than copied, so that the only
88 // iterators invalidated are those referring to the deleted node.
90 enum _Rb_tree_color
{ _S_red
= false, _S_black
= true };
92 struct _Rb_tree_node_base
94 typedef _Rb_tree_node_base
* _Base_ptr
;
95 typedef const _Rb_tree_node_base
* _Const_Base_ptr
;
97 _Rb_tree_color _M_color
;
103 _S_minimum(_Base_ptr __x
)
105 while (__x
->_M_left
!= 0) __x
= __x
->_M_left
;
109 static _Const_Base_ptr
110 _S_minimum(_Const_Base_ptr __x
)
112 while (__x
->_M_left
!= 0) __x
= __x
->_M_left
;
117 _S_maximum(_Base_ptr __x
)
119 while (__x
->_M_right
!= 0) __x
= __x
->_M_right
;
123 static _Const_Base_ptr
124 _S_maximum(_Const_Base_ptr __x
)
126 while (__x
->_M_right
!= 0) __x
= __x
->_M_right
;
131 template<typename _Val
>
132 struct _Rb_tree_node
: public _Rb_tree_node_base
134 typedef _Rb_tree_node
<_Val
>* _Link_type
;
139 _Rb_tree_increment(_Rb_tree_node_base
* __x
);
141 const _Rb_tree_node_base
*
142 _Rb_tree_increment(const _Rb_tree_node_base
* __x
);
145 _Rb_tree_decrement(_Rb_tree_node_base
* __x
);
147 const _Rb_tree_node_base
*
148 _Rb_tree_decrement(const _Rb_tree_node_base
* __x
);
150 template<typename _Tp
>
151 struct _Rb_tree_iterator
153 typedef _Tp value_type
;
154 typedef _Tp
& reference
;
155 typedef _Tp
* pointer
;
157 typedef bidirectional_iterator_tag iterator_category
;
158 typedef ptrdiff_t difference_type
;
160 typedef _Rb_tree_iterator
<_Tp
> _Self
;
161 typedef _Rb_tree_node_base::_Base_ptr _Base_ptr
;
162 typedef _Rb_tree_node
<_Tp
>* _Link_type
;
168 _Rb_tree_iterator(_Link_type __x
)
173 { return static_cast<_Link_type
>(_M_node
)->_M_value_field
; }
177 { return &static_cast<_Link_type
>(_M_node
)->_M_value_field
; }
182 _M_node
= _Rb_tree_increment(_M_node
);
190 _M_node
= _Rb_tree_increment(_M_node
);
197 _M_node
= _Rb_tree_decrement(_M_node
);
205 _M_node
= _Rb_tree_decrement(_M_node
);
210 operator==(const _Self
& __x
) const
211 { return _M_node
== __x
._M_node
; }
214 operator!=(const _Self
& __x
) const
215 { return _M_node
!= __x
._M_node
; }
220 template<typename _Tp
>
221 struct _Rb_tree_const_iterator
223 typedef _Tp value_type
;
224 typedef const _Tp
& reference
;
225 typedef const _Tp
* pointer
;
227 typedef _Rb_tree_iterator
<_Tp
> iterator
;
229 typedef bidirectional_iterator_tag iterator_category
;
230 typedef ptrdiff_t difference_type
;
232 typedef _Rb_tree_const_iterator
<_Tp
> _Self
;
233 typedef _Rb_tree_node_base::_Const_Base_ptr _Base_ptr
;
234 typedef const _Rb_tree_node
<_Tp
>* _Link_type
;
236 _Rb_tree_const_iterator()
240 _Rb_tree_const_iterator(_Link_type __x
)
243 _Rb_tree_const_iterator(const iterator
& __it
)
244 : _M_node(__it
._M_node
) { }
248 { return static_cast<_Link_type
>(_M_node
)->_M_value_field
; }
252 { return &static_cast<_Link_type
>(_M_node
)->_M_value_field
; }
257 _M_node
= _Rb_tree_increment(_M_node
);
265 _M_node
= _Rb_tree_increment(_M_node
);
272 _M_node
= _Rb_tree_decrement(_M_node
);
280 _M_node
= _Rb_tree_decrement(_M_node
);
285 operator==(const _Self
& __x
) const
286 { return _M_node
== __x
._M_node
; }
289 operator!=(const _Self
& __x
) const
290 { return _M_node
!= __x
._M_node
; }
295 template<typename _Val
>
297 operator==(const _Rb_tree_iterator
<_Val
>& __x
,
298 const _Rb_tree_const_iterator
<_Val
>& __y
)
299 { return __x
._M_node
== __y
._M_node
; }
301 template<typename _Val
>
303 operator!=(const _Rb_tree_iterator
<_Val
>& __x
,
304 const _Rb_tree_const_iterator
<_Val
>& __y
)
305 { return __x
._M_node
!= __y
._M_node
; }
308 _Rb_tree_rotate_left(_Rb_tree_node_base
* const __x
,
309 _Rb_tree_node_base
*& __root
);
312 _Rb_tree_rotate_right(_Rb_tree_node_base
* const __x
,
313 _Rb_tree_node_base
*& __root
);
316 _Rb_tree_insert_and_rebalance(const bool __insert_left
,
317 _Rb_tree_node_base
* __x
,
318 _Rb_tree_node_base
* __p
,
319 _Rb_tree_node_base
& __header
);
322 _Rb_tree_rebalance_for_erase(_Rb_tree_node_base
* const __z
,
323 _Rb_tree_node_base
& __header
);
326 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
327 typename _Compare
, typename _Alloc
= allocator
<_Val
> >
330 typedef typename
_Alloc::template rebind
<_Rb_tree_node
<_Val
> >::other
334 typedef _Rb_tree_node_base
* _Base_ptr
;
335 typedef const _Rb_tree_node_base
* _Const_Base_ptr
;
336 typedef _Rb_tree_node
<_Val
> _Rb_tree_node
;
339 typedef _Key key_type
;
340 typedef _Val value_type
;
341 typedef value_type
* pointer
;
342 typedef const value_type
* const_pointer
;
343 typedef value_type
& reference
;
344 typedef const value_type
& const_reference
;
345 typedef _Rb_tree_node
* _Link_type
;
346 typedef const _Rb_tree_node
* _Const_Link_type
;
347 typedef size_t size_type
;
348 typedef ptrdiff_t difference_type
;
349 typedef _Alloc allocator_type
;
352 get_allocator() const
353 { return *static_cast<const _Node_allocator
*>(&this->_M_impl
); }
358 { return _M_impl
._Node_allocator::allocate(1); }
361 _M_put_node(_Rb_tree_node
* __p
)
362 { _M_impl
._Node_allocator::deallocate(__p
, 1); }
365 _M_create_node(const value_type
& __x
)
367 _Link_type __tmp
= _M_get_node();
369 { get_allocator().construct(&__tmp
->_M_value_field
, __x
); }
373 __throw_exception_again
;
379 _M_clone_node(_Const_Link_type __x
)
381 _Link_type __tmp
= _M_create_node(__x
->_M_value_field
);
382 __tmp
->_M_color
= __x
->_M_color
;
389 destroy_node(_Link_type __p
)
391 get_allocator().destroy(&__p
->_M_value_field
);
396 template<typename _Key_compare
,
397 bool _Is_pod_comparator
= std::__is_pod
<_Key_compare
>::__value
>
398 struct _Rb_tree_impl
: public _Node_allocator
400 _Key_compare _M_key_compare
;
401 _Rb_tree_node_base _M_header
;
402 size_type _M_node_count
; // Keeps track of size of tree.
404 _Rb_tree_impl(const _Node_allocator
& __a
= _Node_allocator(),
405 const _Key_compare
& __comp
= _Key_compare())
406 : _Node_allocator(__a
), _M_key_compare(__comp
), _M_header(),
409 this->_M_header
._M_color
= _S_red
;
410 this->_M_header
._M_parent
= 0;
411 this->_M_header
._M_left
= &this->_M_header
;
412 this->_M_header
._M_right
= &this->_M_header
;
416 // Specialization for _Comparison types that are not capable of
417 // being base classes / super classes.
418 template<typename _Key_compare
>
419 struct _Rb_tree_impl
<_Key_compare
, true> : public _Node_allocator
421 _Key_compare _M_key_compare
;
422 _Rb_tree_node_base _M_header
;
423 size_type _M_node_count
; // Keeps track of size of tree.
425 _Rb_tree_impl(const _Node_allocator
& __a
= _Node_allocator(),
426 const _Key_compare
& __comp
= _Key_compare())
427 : _Node_allocator(__a
), _M_key_compare(__comp
), _M_header(),
430 this->_M_header
._M_color
= _S_red
;
431 this->_M_header
._M_parent
= 0;
432 this->_M_header
._M_left
= &this->_M_header
;
433 this->_M_header
._M_right
= &this->_M_header
;
437 _Rb_tree_impl
<_Compare
> _M_impl
;
442 { return this->_M_impl
._M_header
._M_parent
; }
446 { return this->_M_impl
._M_header
._M_parent
; }
450 { return this->_M_impl
._M_header
._M_left
; }
454 { return this->_M_impl
._M_header
._M_left
; }
458 { return this->_M_impl
._M_header
._M_right
; }
462 { return this->_M_impl
._M_header
._M_right
; }
466 { return static_cast<_Link_type
>(this->_M_impl
._M_header
._M_parent
); }
471 return static_cast<_Const_Link_type
>
472 (this->_M_impl
._M_header
._M_parent
);
477 { return static_cast<_Link_type
>(&this->_M_impl
._M_header
); }
481 { return static_cast<_Const_Link_type
>(&this->_M_impl
._M_header
); }
483 static const_reference
484 _S_value(_Const_Link_type __x
)
485 { return __x
->_M_value_field
; }
488 _S_key(_Const_Link_type __x
)
489 { return _KeyOfValue()(_S_value(__x
)); }
492 _S_left(_Base_ptr __x
)
493 { return static_cast<_Link_type
>(__x
->_M_left
); }
495 static _Const_Link_type
496 _S_left(_Const_Base_ptr __x
)
497 { return static_cast<_Const_Link_type
>(__x
->_M_left
); }
500 _S_right(_Base_ptr __x
)
501 { return static_cast<_Link_type
>(__x
->_M_right
); }
503 static _Const_Link_type
504 _S_right(_Const_Base_ptr __x
)
505 { return static_cast<_Const_Link_type
>(__x
->_M_right
); }
507 static const_reference
508 _S_value(_Const_Base_ptr __x
)
509 { return static_cast<_Const_Link_type
>(__x
)->_M_value_field
; }
512 _S_key(_Const_Base_ptr __x
)
513 { return _KeyOfValue()(_S_value(__x
)); }
516 _S_minimum(_Base_ptr __x
)
517 { return _Rb_tree_node_base::_S_minimum(__x
); }
519 static _Const_Base_ptr
520 _S_minimum(_Const_Base_ptr __x
)
521 { return _Rb_tree_node_base::_S_minimum(__x
); }
524 _S_maximum(_Base_ptr __x
)
525 { return _Rb_tree_node_base::_S_maximum(__x
); }
527 static _Const_Base_ptr
528 _S_maximum(_Const_Base_ptr __x
)
529 { return _Rb_tree_node_base::_S_maximum(__x
); }
532 typedef _Rb_tree_iterator
<value_type
> iterator
;
533 typedef _Rb_tree_const_iterator
<value_type
> const_iterator
;
535 typedef std::reverse_iterator
<iterator
> reverse_iterator
;
536 typedef std::reverse_iterator
<const_iterator
> const_reverse_iterator
;
540 _M_insert(_Base_ptr __x
, _Base_ptr __y
, const value_type
& __v
);
543 _M_insert(_Const_Base_ptr __x
, _Const_Base_ptr __y
,
544 const value_type
& __v
);
547 _M_copy(_Const_Link_type __x
, _Link_type __p
);
550 _M_erase(_Link_type __x
);
553 // allocation/deallocation
557 _Rb_tree(const _Compare
& __comp
)
558 : _M_impl(allocator_type(), __comp
)
561 _Rb_tree(const _Compare
& __comp
, const allocator_type
& __a
)
562 : _M_impl(__a
, __comp
)
565 _Rb_tree(const _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __x
)
566 : _M_impl(__x
.get_allocator(), __x
._M_impl
._M_key_compare
)
568 if (__x
._M_root() != 0)
570 _M_root() = _M_copy(__x
._M_begin(), _M_end());
571 _M_leftmost() = _S_minimum(_M_root());
572 _M_rightmost() = _S_maximum(_M_root());
573 _M_impl
._M_node_count
= __x
._M_impl
._M_node_count
;
578 { _M_erase(_M_begin()); }
580 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>&
581 operator=(const _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __x
);
586 { return _M_impl
._M_key_compare
; }
591 return iterator(static_cast<_Link_type
>
592 (this->_M_impl
._M_header
._M_left
));
598 return const_iterator(static_cast<_Const_Link_type
>
599 (this->_M_impl
._M_header
._M_left
));
604 { return iterator(static_cast<_Link_type
>(&this->_M_impl
._M_header
)); }
609 return const_iterator(static_cast<_Const_Link_type
>
610 (&this->_M_impl
._M_header
));
615 { return reverse_iterator(end()); }
617 const_reverse_iterator
619 { return const_reverse_iterator(end()); }
623 { return reverse_iterator(begin()); }
625 const_reverse_iterator
627 { return const_reverse_iterator(begin()); }
631 { return _M_impl
._M_node_count
== 0; }
635 { return _M_impl
._M_node_count
; }
639 { return size_type(-1); }
642 swap(_Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __t
);
646 insert_unique(const value_type
& __x
);
649 insert_equal(const value_type
& __x
);
652 insert_unique(iterator __position
, const value_type
& __x
);
655 insert_unique(const_iterator __position
, const value_type
& __x
);
658 insert_equal(iterator __position
, const value_type
& __x
);
661 insert_equal(const_iterator __position
, const value_type
& __x
);
663 template<typename _InputIterator
>
665 insert_unique(_InputIterator __first
, _InputIterator __last
);
667 template<typename _InputIterator
>
669 insert_equal(_InputIterator __first
, _InputIterator __last
);
672 erase(iterator __position
);
675 erase(const_iterator __position
);
678 erase(const key_type
& __x
);
681 erase(iterator __first
, iterator __last
);
684 erase(const_iterator __first
, const_iterator __last
);
687 erase(const key_type
* __first
, const key_type
* __last
);
692 _M_erase(_M_begin());
693 _M_leftmost() = _M_end();
695 _M_rightmost() = _M_end();
696 _M_impl
._M_node_count
= 0;
701 find(const key_type
& __x
);
704 find(const key_type
& __x
) const;
707 count(const key_type
& __x
) const;
710 lower_bound(const key_type
& __x
);
713 lower_bound(const key_type
& __x
) const;
716 upper_bound(const key_type
& __x
);
719 upper_bound(const key_type
& __x
) const;
721 pair
<iterator
,iterator
>
722 equal_range(const key_type
& __x
);
724 pair
<const_iterator
, const_iterator
>
725 equal_range(const key_type
& __x
) const;
732 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
733 typename _Compare
, typename _Alloc
>
735 operator==(const _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __x
,
736 const _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __y
)
738 return __x
.size() == __y
.size()
739 && std::equal(__x
.begin(), __x
.end(), __y
.begin());
742 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
743 typename _Compare
, typename _Alloc
>
745 operator<(const _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __x
,
746 const _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __y
)
748 return std::lexicographical_compare(__x
.begin(), __x
.end(),
749 __y
.begin(), __y
.end());
752 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
753 typename _Compare
, typename _Alloc
>
755 operator!=(const _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __x
,
756 const _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __y
)
757 { return !(__x
== __y
); }
759 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
760 typename _Compare
, typename _Alloc
>
762 operator>(const _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __x
,
763 const _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __y
)
764 { return __y
< __x
; }
766 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
767 typename _Compare
, typename _Alloc
>
769 operator<=(const _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __x
,
770 const _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __y
)
771 { return !(__y
< __x
); }
773 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
774 typename _Compare
, typename _Alloc
>
776 operator>=(const _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __x
,
777 const _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __y
)
778 { return !(__x
< __y
); }
780 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
781 typename _Compare
, typename _Alloc
>
783 swap(_Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __x
,
784 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __y
)
787 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
788 typename _Compare
, typename _Alloc
>
789 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>&
790 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
791 operator=(const _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __x
)
795 // Note that _Key may be a constant type.
797 _M_impl
._M_key_compare
= __x
._M_impl
._M_key_compare
;
798 if (__x
._M_root() != 0)
800 _M_root() = _M_copy(__x
._M_begin(), _M_end());
801 _M_leftmost() = _S_minimum(_M_root());
802 _M_rightmost() = _S_maximum(_M_root());
803 _M_impl
._M_node_count
= __x
._M_impl
._M_node_count
;
809 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
810 typename _Compare
, typename _Alloc
>
811 typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::iterator
812 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
813 _M_insert(_Base_ptr __x
, _Base_ptr __p
, const _Val
& __v
)
815 bool __insert_left
= (__x
!= 0 || __p
== _M_end()
816 || _M_impl
._M_key_compare(_KeyOfValue()(__v
),
819 _Link_type __z
= _M_create_node(__v
);
821 _Rb_tree_insert_and_rebalance(__insert_left
, __z
, __p
,
822 this->_M_impl
._M_header
);
823 ++_M_impl
._M_node_count
;
824 return iterator(__z
);
827 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
828 typename _Compare
, typename _Alloc
>
829 typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::const_iterator
830 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
831 _M_insert(_Const_Base_ptr __x
, _Const_Base_ptr __p
, const _Val
& __v
)
833 bool __insert_left
= (__x
!= 0 || __p
== _M_end()
834 || _M_impl
._M_key_compare(_KeyOfValue()(__v
),
837 _Link_type __z
= _M_create_node(__v
);
839 _Rb_tree_insert_and_rebalance(__insert_left
, __z
,
840 const_cast<_Base_ptr
>(__p
),
841 this->_M_impl
._M_header
);
842 ++_M_impl
._M_node_count
;
843 return const_iterator(__z
);
846 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
847 typename _Compare
, typename _Alloc
>
848 typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::iterator
849 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
850 insert_equal(const _Val
& __v
)
852 _Link_type __x
= _M_begin();
853 _Link_type __y
= _M_end();
857 __x
= _M_impl
._M_key_compare(_KeyOfValue()(__v
), _S_key(__x
)) ?
858 _S_left(__x
) : _S_right(__x
);
860 return _M_insert(__x
, __y
, __v
);
863 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
864 typename _Compare
, typename _Alloc
>
866 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
867 swap(_Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>& __t
)
871 if (__t
._M_root() != 0)
873 _M_root() = __t
._M_root();
874 _M_leftmost() = __t
._M_leftmost();
875 _M_rightmost() = __t
._M_rightmost();
876 _M_root()->_M_parent
= _M_end();
879 __t
._M_leftmost() = __t
._M_end();
880 __t
._M_rightmost() = __t
._M_end();
883 else if (__t
._M_root() == 0)
885 __t
._M_root() = _M_root();
886 __t
._M_leftmost() = _M_leftmost();
887 __t
._M_rightmost() = _M_rightmost();
888 __t
._M_root()->_M_parent
= __t
._M_end();
891 _M_leftmost() = _M_end();
892 _M_rightmost() = _M_end();
896 std::swap(_M_root(),__t
._M_root());
897 std::swap(_M_leftmost(),__t
._M_leftmost());
898 std::swap(_M_rightmost(),__t
._M_rightmost());
900 _M_root()->_M_parent
= _M_end();
901 __t
._M_root()->_M_parent
= __t
._M_end();
903 // No need to swap header's color as it does not change.
904 std::swap(this->_M_impl
._M_node_count
, __t
._M_impl
._M_node_count
);
905 std::swap(this->_M_impl
._M_key_compare
, __t
._M_impl
._M_key_compare
);
908 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
909 typename _Compare
, typename _Alloc
>
910 pair
<typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
,
911 _Compare
, _Alloc
>::iterator
, bool>
912 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
913 insert_unique(const _Val
& __v
)
915 _Link_type __x
= _M_begin();
916 _Link_type __y
= _M_end();
921 __comp
= _M_impl
._M_key_compare(_KeyOfValue()(__v
), _S_key(__x
));
922 __x
= __comp
? _S_left(__x
) : _S_right(__x
);
924 iterator __j
= iterator(__y
);
927 return pair
<iterator
,bool>(_M_insert(__x
, __y
, __v
), true);
930 if (_M_impl
._M_key_compare(_S_key(__j
._M_node
), _KeyOfValue()(__v
)))
931 return pair
<iterator
, bool>(_M_insert(__x
, __y
, __v
), true);
932 return pair
<iterator
, bool>(__j
, false);
935 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
936 typename _Compare
, typename _Alloc
>
937 typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::iterator
938 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
939 insert_unique(iterator __position
, const _Val
& __v
)
942 if (__position
._M_node
== _M_end())
945 && _M_impl
._M_key_compare(_S_key(_M_rightmost()),
947 return _M_insert(0, _M_rightmost(), __v
);
949 return insert_unique(__v
).first
;
951 else if (_M_impl
._M_key_compare(_KeyOfValue()(__v
),
952 _S_key(__position
._M_node
)))
954 // First, try before...
955 iterator __before
= __position
;
956 if (__position
._M_node
== _M_leftmost()) // begin()
957 return _M_insert(_M_leftmost(), _M_leftmost(), __v
);
958 else if (_M_impl
._M_key_compare(_S_key((--__before
)._M_node
),
961 if (_S_right(__before
._M_node
) == 0)
962 return _M_insert(0, __before
._M_node
, __v
);
964 return _M_insert(__position
._M_node
,
965 __position
._M_node
, __v
);
968 return insert_unique(__v
).first
;
970 else if (_M_impl
._M_key_compare(_S_key(__position
._M_node
),
973 // ... then try after.
974 iterator __after
= __position
;
975 if (__position
._M_node
== _M_rightmost())
976 return _M_insert(0, _M_rightmost(), __v
);
977 else if (_M_impl
._M_key_compare(_KeyOfValue()(__v
),
978 _S_key((++__after
)._M_node
)))
980 if (_S_right(__position
._M_node
) == 0)
981 return _M_insert(0, __position
._M_node
, __v
);
983 return _M_insert(__after
._M_node
, __after
._M_node
, __v
);
986 return insert_unique(__v
).first
;
989 return __position
; // Equivalent keys.
992 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
993 typename _Compare
, typename _Alloc
>
994 typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::const_iterator
995 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
996 insert_unique(const_iterator __position
, const _Val
& __v
)
999 if (__position
._M_node
== _M_end())
1002 && _M_impl
._M_key_compare(_S_key(_M_rightmost()),
1003 _KeyOfValue()(__v
)))
1004 return _M_insert(0, _M_rightmost(), __v
);
1006 return const_iterator(insert_unique(__v
).first
);
1008 else if (_M_impl
._M_key_compare(_KeyOfValue()(__v
),
1009 _S_key(__position
._M_node
)))
1011 // First, try before...
1012 const_iterator __before
= __position
;
1013 if (__position
._M_node
== _M_leftmost()) // begin()
1014 return _M_insert(_M_leftmost(), _M_leftmost(), __v
);
1015 else if (_M_impl
._M_key_compare(_S_key((--__before
)._M_node
),
1016 _KeyOfValue()(__v
)))
1018 if (_S_right(__before
._M_node
) == 0)
1019 return _M_insert(0, __before
._M_node
, __v
);
1021 return _M_insert(__position
._M_node
,
1022 __position
._M_node
, __v
);
1025 return const_iterator(insert_unique(__v
).first
);
1027 else if (_M_impl
._M_key_compare(_S_key(__position
._M_node
),
1028 _KeyOfValue()(__v
)))
1030 // ... then try after.
1031 const_iterator __after
= __position
;
1032 if (__position
._M_node
== _M_rightmost())
1033 return _M_insert(0, _M_rightmost(), __v
);
1034 else if (_M_impl
._M_key_compare(_KeyOfValue()(__v
),
1035 _S_key((++__after
)._M_node
)))
1037 if (_S_right(__position
._M_node
) == 0)
1038 return _M_insert(0, __position
._M_node
, __v
);
1040 return _M_insert(__after
._M_node
, __after
._M_node
, __v
);
1043 return const_iterator(insert_unique(__v
).first
);
1046 return __position
; // Equivalent keys.
1049 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1050 typename _Compare
, typename _Alloc
>
1051 typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::iterator
1052 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
1053 insert_equal(iterator __position
, const _Val
& __v
)
1056 if (__position
._M_node
== _M_end())
1059 && !_M_impl
._M_key_compare(_KeyOfValue()(__v
),
1060 _S_key(_M_rightmost())))
1061 return _M_insert(0, _M_rightmost(), __v
);
1063 return insert_equal(__v
);
1065 else if (!_M_impl
._M_key_compare(_S_key(__position
._M_node
),
1066 _KeyOfValue()(__v
)))
1068 // First, try before...
1069 iterator __before
= __position
;
1070 if (__position
._M_node
== _M_leftmost()) // begin()
1071 return _M_insert(_M_leftmost(), _M_leftmost(), __v
);
1072 else if (!_M_impl
._M_key_compare(_KeyOfValue()(__v
),
1073 _S_key((--__before
)._M_node
)))
1075 if (_S_right(__before
._M_node
) == 0)
1076 return _M_insert(0, __before
._M_node
, __v
);
1078 return _M_insert(__position
._M_node
,
1079 __position
._M_node
, __v
);
1082 return insert_equal(__v
);
1086 // ... then try after.
1087 iterator __after
= __position
;
1088 if (__position
._M_node
== _M_rightmost())
1089 return _M_insert(0, _M_rightmost(), __v
);
1090 else if (!_M_impl
._M_key_compare(_S_key((++__after
)._M_node
),
1091 _KeyOfValue()(__v
)))
1093 if (_S_right(__position
._M_node
) == 0)
1094 return _M_insert(0, __position
._M_node
, __v
);
1096 return _M_insert(__after
._M_node
, __after
._M_node
, __v
);
1099 return insert_equal(__v
);
1103 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1104 typename _Compare
, typename _Alloc
>
1105 typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::const_iterator
1106 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
1107 insert_equal(const_iterator __position
, const _Val
& __v
)
1110 if (__position
._M_node
== _M_end())
1113 && !_M_impl
._M_key_compare(_KeyOfValue()(__v
),
1114 _S_key(_M_rightmost())))
1115 return _M_insert(0, _M_rightmost(), __v
);
1117 return const_iterator(insert_equal(__v
));
1119 else if (!_M_impl
._M_key_compare(_S_key(__position
._M_node
),
1120 _KeyOfValue()(__v
)))
1122 // First, try before...
1123 const_iterator __before
= __position
;
1124 if (__position
._M_node
== _M_leftmost()) // begin()
1125 return _M_insert(_M_leftmost(), _M_leftmost(), __v
);
1126 else if (!_M_impl
._M_key_compare(_KeyOfValue()(__v
),
1127 _S_key((--__before
)._M_node
)))
1129 if (_S_right(__before
._M_node
) == 0)
1130 return _M_insert(0, __before
._M_node
, __v
);
1132 return _M_insert(__position
._M_node
,
1133 __position
._M_node
, __v
);
1136 return const_iterator(insert_equal(__v
));
1140 // ... then try after.
1141 const_iterator __after
= __position
;
1142 if (__position
._M_node
== _M_rightmost())
1143 return _M_insert(0, _M_rightmost(), __v
);
1144 else if (!_M_impl
._M_key_compare(_S_key((++__after
)._M_node
),
1145 _KeyOfValue()(__v
)))
1147 if (_S_right(__position
._M_node
) == 0)
1148 return _M_insert(0, __position
._M_node
, __v
);
1150 return _M_insert(__after
._M_node
, __after
._M_node
, __v
);
1153 return const_iterator(insert_equal(__v
));
1157 template<typename _Key
, typename _Val
, typename _KoV
,
1158 typename _Cmp
, typename _Alloc
>
1161 _Rb_tree
<_Key
, _Val
, _KoV
, _Cmp
, _Alloc
>::
1162 insert_equal(_II __first
, _II __last
)
1164 for (; __first
!= __last
; ++__first
)
1165 insert_equal(end(), *__first
);
1168 template<typename _Key
, typename _Val
, typename _KoV
,
1169 typename _Cmp
, typename _Alloc
>
1172 _Rb_tree
<_Key
, _Val
, _KoV
, _Cmp
, _Alloc
>::
1173 insert_unique(_II __first
, _II __last
)
1175 for (; __first
!= __last
; ++__first
)
1176 insert_unique(end(), *__first
);
1179 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1180 typename _Compare
, typename _Alloc
>
1182 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
1183 erase(iterator __position
)
1186 static_cast<_Link_type
>(_Rb_tree_rebalance_for_erase
1187 (__position
._M_node
,
1188 this->_M_impl
._M_header
));
1190 --_M_impl
._M_node_count
;
1193 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1194 typename _Compare
, typename _Alloc
>
1196 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
1197 erase(const_iterator __position
)
1200 static_cast<_Link_type
>(_Rb_tree_rebalance_for_erase
1201 (const_cast<_Base_ptr
>(__position
._M_node
),
1202 this->_M_impl
._M_header
));
1204 --_M_impl
._M_node_count
;
1207 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1208 typename _Compare
, typename _Alloc
>
1209 typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::size_type
1210 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
1211 erase(const _Key
& __x
)
1213 pair
<iterator
,iterator
> __p
= equal_range(__x
);
1214 size_type __n
= std::distance(__p
.first
, __p
.second
);
1215 erase(__p
.first
, __p
.second
);
1219 template<typename _Key
, typename _Val
, typename _KoV
,
1220 typename _Compare
, typename _Alloc
>
1221 typename _Rb_tree
<_Key
, _Val
, _KoV
, _Compare
, _Alloc
>::_Link_type
1222 _Rb_tree
<_Key
, _Val
, _KoV
, _Compare
, _Alloc
>::
1223 _M_copy(_Const_Link_type __x
, _Link_type __p
)
1225 // Structural copy. __x and __p must be non-null.
1226 _Link_type __top
= _M_clone_node(__x
);
1227 __top
->_M_parent
= __p
;
1232 __top
->_M_right
= _M_copy(_S_right(__x
), __top
);
1238 _Link_type __y
= _M_clone_node(__x
);
1240 __y
->_M_parent
= __p
;
1242 __y
->_M_right
= _M_copy(_S_right(__x
), __y
);
1250 __throw_exception_again
;
1255 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1256 typename _Compare
, typename _Alloc
>
1258 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
1259 _M_erase(_Link_type __x
)
1261 // Erase without rebalancing.
1264 _M_erase(_S_right(__x
));
1265 _Link_type __y
= _S_left(__x
);
1271 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1272 typename _Compare
, typename _Alloc
>
1274 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
1275 erase(iterator __first
, iterator __last
)
1277 if (__first
== begin() && __last
== end())
1280 while (__first
!= __last
)
1284 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1285 typename _Compare
, typename _Alloc
>
1287 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
1288 erase(const_iterator __first
, const_iterator __last
)
1290 if (__first
== begin() && __last
== end())
1293 while (__first
!= __last
)
1297 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1298 typename _Compare
, typename _Alloc
>
1300 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
1301 erase(const _Key
* __first
, const _Key
* __last
)
1303 while (__first
!= __last
)
1307 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1308 typename _Compare
, typename _Alloc
>
1309 typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::iterator
1310 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
1311 find(const _Key
& __k
)
1313 _Link_type __x
= _M_begin(); // Current node.
1314 _Link_type __y
= _M_end(); // Last node which is not less than __k.
1317 if (!_M_impl
._M_key_compare(_S_key(__x
), __k
))
1318 __y
= __x
, __x
= _S_left(__x
);
1320 __x
= _S_right(__x
);
1322 iterator __j
= iterator(__y
);
1323 return (__j
== end()
1324 || _M_impl
._M_key_compare(__k
,
1325 _S_key(__j
._M_node
))) ? end() : __j
;
1328 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1329 typename _Compare
, typename _Alloc
>
1330 typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::const_iterator
1331 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
1332 find(const _Key
& __k
) const
1334 _Const_Link_type __x
= _M_begin(); // Current node.
1335 _Const_Link_type __y
= _M_end(); // Last node which is not less than __k.
1339 if (!_M_impl
._M_key_compare(_S_key(__x
), __k
))
1340 __y
= __x
, __x
= _S_left(__x
);
1342 __x
= _S_right(__x
);
1344 const_iterator __j
= const_iterator(__y
);
1345 return (__j
== end()
1346 || _M_impl
._M_key_compare(__k
,
1347 _S_key(__j
._M_node
))) ? end() : __j
;
1350 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1351 typename _Compare
, typename _Alloc
>
1352 typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::size_type
1353 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
1354 count(const _Key
& __k
) const
1356 pair
<const_iterator
, const_iterator
> __p
= equal_range(__k
);
1357 const size_type __n
= std::distance(__p
.first
, __p
.second
);
1361 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1362 typename _Compare
, typename _Alloc
>
1363 typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::iterator
1364 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
1365 lower_bound(const _Key
& __k
)
1367 _Link_type __x
= _M_begin(); // Current node.
1368 _Link_type __y
= _M_end(); // Last node which is not less than __k.
1371 if (!_M_impl
._M_key_compare(_S_key(__x
), __k
))
1372 __y
= __x
, __x
= _S_left(__x
);
1374 __x
= _S_right(__x
);
1376 return iterator(__y
);
1379 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1380 typename _Compare
, typename _Alloc
>
1381 typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::const_iterator
1382 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
1383 lower_bound(const _Key
& __k
) const
1385 _Const_Link_type __x
= _M_begin(); // Current node.
1386 _Const_Link_type __y
= _M_end(); // Last node which is not less than __k.
1389 if (!_M_impl
._M_key_compare(_S_key(__x
), __k
))
1390 __y
= __x
, __x
= _S_left(__x
);
1392 __x
= _S_right(__x
);
1394 return const_iterator(__y
);
1397 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1398 typename _Compare
, typename _Alloc
>
1399 typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::iterator
1400 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
1401 upper_bound(const _Key
& __k
)
1403 _Link_type __x
= _M_begin(); // Current node.
1404 _Link_type __y
= _M_end(); // Last node which is greater than __k.
1407 if (_M_impl
._M_key_compare(__k
, _S_key(__x
)))
1408 __y
= __x
, __x
= _S_left(__x
);
1410 __x
= _S_right(__x
);
1412 return iterator(__y
);
1415 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1416 typename _Compare
, typename _Alloc
>
1417 typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::const_iterator
1418 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
1419 upper_bound(const _Key
& __k
) const
1421 _Const_Link_type __x
= _M_begin(); // Current node.
1422 _Const_Link_type __y
= _M_end(); // Last node which is greater than __k.
1425 if (_M_impl
._M_key_compare(__k
, _S_key(__x
)))
1426 __y
= __x
, __x
= _S_left(__x
);
1428 __x
= _S_right(__x
);
1430 return const_iterator(__y
);
1433 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1434 typename _Compare
, typename _Alloc
>
1436 pair
<typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
,
1437 _Compare
, _Alloc
>::iterator
,
1438 typename _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::iterator
>
1439 _Rb_tree
<_Key
, _Val
, _KeyOfValue
, _Compare
, _Alloc
>::
1440 equal_range(const _Key
& __k
)
1441 { return pair
<iterator
, iterator
>(lower_bound(__k
), upper_bound(__k
)); }
1443 template<typename _Key
, typename _Val
, typename _KoV
,
1444 typename _Compare
, typename _Alloc
>
1446 pair
<typename _Rb_tree
<_Key
, _Val
, _KoV
,
1447 _Compare
, _Alloc
>::const_iterator
,
1448 typename _Rb_tree
<_Key
, _Val
, _KoV
, _Compare
, _Alloc
>::const_iterator
>
1449 _Rb_tree
<_Key
, _Val
, _KoV
, _Compare
, _Alloc
>::
1450 equal_range(const _Key
& __k
) const
1451 { return pair
<const_iterator
, const_iterator
>(lower_bound(__k
),
1452 upper_bound(__k
)); }
1455 _Rb_tree_black_count(const _Rb_tree_node_base
* __node
,
1456 const _Rb_tree_node_base
* __root
);
1458 template<typename _Key
, typename _Val
, typename _KeyOfValue
,
1459 typename _Compare
, typename _Alloc
>
1461 _Rb_tree
<_Key
,_Val
,_KeyOfValue
,_Compare
,_Alloc
>::__rb_verify() const
1463 if (_M_impl
._M_node_count
== 0 || begin() == end())
1464 return _M_impl
._M_node_count
== 0 && begin() == end()
1465 && this->_M_impl
._M_header
._M_left
== _M_end()
1466 && this->_M_impl
._M_header
._M_right
== _M_end();
1468 unsigned int __len
= _Rb_tree_black_count(_M_leftmost(), _M_root());
1469 for (const_iterator __it
= begin(); __it
!= end(); ++__it
)
1471 _Const_Link_type __x
= static_cast<_Const_Link_type
>(__it
._M_node
);
1472 _Const_Link_type __L
= _S_left(__x
);
1473 _Const_Link_type __R
= _S_right(__x
);
1475 if (__x
->_M_color
== _S_red
)
1476 if ((__L
&& __L
->_M_color
== _S_red
)
1477 || (__R
&& __R
->_M_color
== _S_red
))
1480 if (__L
&& _M_impl
._M_key_compare(_S_key(__x
), _S_key(__L
)))
1482 if (__R
&& _M_impl
._M_key_compare(_S_key(__R
), _S_key(__x
)))
1485 if (!__L
&& !__R
&& _Rb_tree_black_count(__x
, _M_root()) != __len
)
1489 if (_M_leftmost() != _Rb_tree_node_base::_S_minimum(_M_root()))
1491 if (_M_rightmost() != _Rb_tree_node_base::_S_maximum(_M_root()))