1255 lines
38 KiB
C++
1255 lines
38 KiB
C++
// RB tree implementation -*- C++ -*-
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// Copyright (C) 2001, 2002, 2003 Free Software Foundation, Inc.
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//
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// This file is part of the GNU ISO C++ Library. This library is free
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// software; you can redistribute it and/or modify it under the
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// terms of the GNU General Public License as published by the
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// Free Software Foundation; either version 2, or (at your option)
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// any later version.
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// This library is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU General Public License for more details.
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// You should have received a copy of the GNU General Public License along
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// with this library; see the file COPYING. If not, write to the Free
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// Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307,
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// USA.
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// As a special exception, you may use this file as part of a free software
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// library without restriction. Specifically, if other files instantiate
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// templates or use macros or inline functions from this file, or you compile
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// this file and link it with other files to produce an executable, this
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// file does not by itself cause the resulting executable to be covered by
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// the GNU General Public License. This exception does not however
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// invalidate any other reasons why the executable file might be covered by
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// the GNU General Public License.
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/*
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*
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* Copyright (c) 1996,1997
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* Silicon Graphics Computer Systems, Inc.
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*
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* Permission to use, copy, modify, distribute and sell this software
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* and its documentation for any purpose is hereby granted without fee,
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* provided that the above copyright notice appear in all copies and
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* that both that copyright notice and this permission notice appear
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* in supporting documentation. Silicon Graphics makes no
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* representations about the suitability of this software for any
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* purpose. It is provided "as is" without express or implied warranty.
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*
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*
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* Copyright (c) 1994
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* Hewlett-Packard Company
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*
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* Permission to use, copy, modify, distribute and sell this software
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* and its documentation for any purpose is hereby granted without fee,
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* provided that the above copyright notice appear in all copies and
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* that both that copyright notice and this permission notice appear
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* in supporting documentation. Hewlett-Packard Company makes no
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* representations about the suitability of this software for any
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* purpose. It is provided "as is" without express or implied warranty.
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*
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*
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*/
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/** @file stl_tree.h
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* This is an internal header file, included by other library headers.
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* You should not attempt to use it directly.
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*/
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#ifndef _TREE_H
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#define _TREE_H 1
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/*
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Red-black tree class, designed for use in implementing STL
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associative containers (set, multiset, map, and multimap). The
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insertion and deletion algorithms are based on those in Cormen,
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Leiserson, and Rivest, Introduction to Algorithms (MIT Press, 1990),
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except that
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(1) the header cell is maintained with links not only to the root
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but also to the leftmost node of the tree, to enable constant time
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begin(), and to the rightmost node of the tree, to enable linear time
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performance when used with the generic set algorithms (set_union,
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etc.);
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(2) when a node being deleted has two children its successor node is
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relinked into its place, rather than copied, so that the only
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iterators invalidated are those referring to the deleted node.
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*/
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#include <bits/stl_algobase.h>
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#include <bits/allocator.h>
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#include <bits/stl_construct.h>
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#include <bits/stl_function.h>
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namespace std
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{
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enum _Rb_tree_color { _S_red = false, _S_black = true };
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struct _Rb_tree_node_base
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{
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typedef _Rb_tree_node_base* _Base_ptr;
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typedef const _Rb_tree_node_base* _Const_Base_ptr;
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_Rb_tree_color _M_color;
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_Base_ptr _M_parent;
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_Base_ptr _M_left;
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_Base_ptr _M_right;
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static _Base_ptr
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_S_minimum(_Base_ptr __x)
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{
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while (__x->_M_left != 0) __x = __x->_M_left;
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return __x;
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}
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static _Const_Base_ptr
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_S_minimum(_Const_Base_ptr __x)
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{
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while (__x->_M_left != 0) __x = __x->_M_left;
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return __x;
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}
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static _Base_ptr
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_S_maximum(_Base_ptr __x)
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{
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while (__x->_M_right != 0) __x = __x->_M_right;
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return __x;
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}
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static _Const_Base_ptr
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_S_maximum(_Const_Base_ptr __x)
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{
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while (__x->_M_right != 0) __x = __x->_M_right;
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return __x;
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}
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};
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template<typename _Val>
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struct _Rb_tree_node : public _Rb_tree_node_base
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{
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typedef _Rb_tree_node<_Val>* _Link_type;
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_Val _M_value_field;
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};
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_Rb_tree_node_base*
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_Rb_tree_increment(_Rb_tree_node_base* __x);
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_Rb_tree_node_base*
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_Rb_tree_decrement(_Rb_tree_node_base* __x);
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template<typename _Val, typename _Ref, typename _Ptr>
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struct _Rb_tree_iterator
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{
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typedef _Val value_type;
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typedef _Ref reference;
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typedef _Ptr pointer;
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typedef _Rb_tree_iterator<_Val, _Val&, _Val*> iterator;
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typedef _Rb_tree_iterator<_Val, const _Val&, const _Val*>
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const_iterator;
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typedef _Rb_tree_node_base::_Base_ptr _Base_ptr;
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typedef bidirectional_iterator_tag iterator_category;
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typedef ptrdiff_t difference_type;
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typedef _Rb_tree_iterator<_Val, _Ref, _Ptr> _Self;
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typedef _Rb_tree_node<_Val>* _Link_type;
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typedef const _Rb_tree_node<_Val>* _Const_Link_type;
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_Rb_tree_iterator() {}
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_Rb_tree_iterator(_Link_type __x)
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: _M_node(__x) {}
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_Rb_tree_iterator(_Const_Link_type __x)
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: _M_node(const_cast<_Link_type>(__x)) {}
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_Rb_tree_iterator(const iterator& __it)
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: _M_node(__it._M_node) {}
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reference
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operator*() const
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{ return static_cast<_Link_type>(_M_node)->_M_value_field; }
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pointer
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operator->() const
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{ return &static_cast<_Link_type>(_M_node)->_M_value_field; }
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_Self&
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operator++()
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{
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_M_node = _Rb_tree_increment(_M_node);
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return *this;
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}
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_Self
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operator++(int)
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{
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_Self __tmp = *this;
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_M_node = _Rb_tree_increment(_M_node);
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return __tmp;
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}
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_Self&
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operator--()
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{
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_M_node = _Rb_tree_decrement(_M_node);
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return *this;
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}
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_Self
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operator--(int)
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{
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_Self __tmp = *this;
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_M_node = _Rb_tree_decrement(_M_node);
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return __tmp;
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}
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_Base_ptr _M_node;
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};
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template<typename _Val, typename _Ref, typename _Ptr>
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inline bool
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operator==(const _Rb_tree_iterator<_Val, _Ref, _Ptr>& __x,
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const _Rb_tree_iterator<_Val, _Ref, _Ptr>& __y)
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{ return __x._M_node == __y._M_node; }
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template<typename _Val>
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inline bool
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operator==(const _Rb_tree_iterator<_Val, const _Val&, const _Val*>& __x,
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const _Rb_tree_iterator<_Val, _Val&, _Val*>& __y)
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{ return __x._M_node == __y._M_node; }
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template<typename _Val>
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inline bool
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operator==(const _Rb_tree_iterator<_Val, _Val&, _Val*>& __x,
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const _Rb_tree_iterator<_Val, const _Val&, const _Val*>& __y)
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{ return __x._M_node == __y._M_node; }
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template<typename _Val, typename _Ref, typename _Ptr>
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inline bool
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operator!=(const _Rb_tree_iterator<_Val, _Ref, _Ptr>& __x,
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const _Rb_tree_iterator<_Val, _Ref, _Ptr>& __y)
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{ return __x._M_node != __y._M_node; }
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template<typename _Val>
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inline bool
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operator!=(const _Rb_tree_iterator<_Val, const _Val&, const _Val*>& __x,
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const _Rb_tree_iterator<_Val, _Val&, _Val*>& __y)
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{ return __x._M_node != __y._M_node; }
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template<typename _Val>
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inline bool
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operator!=(const _Rb_tree_iterator<_Val, _Val&, _Val*>& __x,
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const _Rb_tree_iterator<_Val, const _Val&, const _Val*>& __y)
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{ return __x._M_node != __y._M_node; }
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void
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_Rb_tree_rotate_left(_Rb_tree_node_base* const __x, _Rb_tree_node_base*& __root);
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void
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_Rb_tree_rotate_right(_Rb_tree_node_base* const __x, _Rb_tree_node_base*& __root);
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void
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_Rb_tree_rebalance(_Rb_tree_node_base* __x, _Rb_tree_node_base*& __root);
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_Rb_tree_node_base*
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_Rb_tree_rebalance_for_erase(_Rb_tree_node_base* const __z,
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_Rb_tree_node_base& __header);
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// Base class to encapsulate the differences between old SGI-style
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// allocators and standard-conforming allocators. In order to avoid
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// having an empty base class, we arbitrarily move one of rb_tree's
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// data members into the base class.
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// _Base for general standard-conforming allocators.
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template<typename _Tp, typename _Alloc, bool _S_instanceless>
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class _Rb_tree_alloc_base
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{
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public:
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typedef typename _Alloc_traits<_Tp, _Alloc>::allocator_type allocator_type;
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allocator_type
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get_allocator() const { return _M_node_allocator; }
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_Rb_tree_alloc_base(const allocator_type& __a)
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: _M_node_allocator(__a) {}
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protected:
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typename _Alloc_traits<_Rb_tree_node<_Tp>, _Alloc>::allocator_type
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_M_node_allocator;
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_Rb_tree_node_base _M_header;
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_Rb_tree_node<_Tp>*
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_M_get_node() { return _M_node_allocator.allocate(1); }
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void
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_M_put_node(_Rb_tree_node<_Tp>* __p)
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{ _M_node_allocator.deallocate(__p, 1); }
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};
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// Specialization for instanceless allocators.
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template<typename _Tp, typename _Alloc>
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class _Rb_tree_alloc_base<_Tp, _Alloc, true>
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{
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public:
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typedef typename _Alloc_traits<_Tp, _Alloc>::allocator_type allocator_type;
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allocator_type get_allocator() const { return allocator_type(); }
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_Rb_tree_alloc_base(const allocator_type&) {}
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protected:
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_Rb_tree_node_base _M_header;
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typedef typename _Alloc_traits<_Rb_tree_node<_Tp>, _Alloc>::_Alloc_type
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_Alloc_type;
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_Rb_tree_node<_Tp>*
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_M_get_node() { return _Alloc_type::allocate(1); }
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void
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_M_put_node(_Rb_tree_node<_Tp>* __p) { _Alloc_type::deallocate(__p, 1); }
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};
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template<typename _Tp, typename _Alloc>
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struct _Rb_tree_base : public _Rb_tree_alloc_base<_Tp, _Alloc,
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_Alloc_traits<_Tp, _Alloc>::_S_instanceless>
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{
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typedef _Rb_tree_alloc_base<_Tp,
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_Alloc, _Alloc_traits<_Tp, _Alloc>::_S_instanceless> _Base;
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typedef typename _Base::allocator_type allocator_type;
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_Rb_tree_base(const allocator_type& __a)
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: _Base(__a) {}
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};
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template<typename _Key, typename _Val, typename _KeyOfValue,
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typename _Compare, typename _Alloc = allocator<_Val> >
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class _Rb_tree : protected _Rb_tree_base<_Val, _Alloc>
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{
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typedef _Rb_tree_base<_Val, _Alloc> _Base;
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protected:
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typedef _Rb_tree_node_base* _Base_ptr;
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typedef const _Rb_tree_node_base* _Const_Base_ptr;
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typedef _Rb_tree_node<_Val> _Rb_tree_node;
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public:
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typedef _Key key_type;
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typedef _Val value_type;
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typedef value_type* pointer;
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typedef const value_type* const_pointer;
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typedef value_type& reference;
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typedef const value_type& const_reference;
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typedef _Rb_tree_node* _Link_type;
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typedef const _Rb_tree_node* _Const_Link_type;
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typedef size_t size_type;
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typedef ptrdiff_t difference_type;
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typedef typename _Base::allocator_type allocator_type;
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allocator_type get_allocator() const { return _Base::get_allocator(); }
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protected:
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using _Base::_M_get_node;
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using _Base::_M_put_node;
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using _Base::_M_header;
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_Link_type
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_M_create_node(const value_type& __x)
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{
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_Link_type __tmp = this->_M_get_node();
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try
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{ std::_Construct(&__tmp->_M_value_field, __x); }
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catch(...)
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{
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_M_put_node(__tmp);
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__throw_exception_again;
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}
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return __tmp;
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}
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_Link_type
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_M_clone_node(_Const_Link_type __x)
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{
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_Link_type __tmp = _M_create_node(__x->_M_value_field);
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__tmp->_M_color = __x->_M_color;
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__tmp->_M_left = 0;
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__tmp->_M_right = 0;
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return __tmp;
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}
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void
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destroy_node(_Link_type __p)
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{
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std::_Destroy(&__p->_M_value_field);
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_M_put_node(__p);
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}
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size_type _M_node_count; // keeps track of size of tree
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_Compare _M_key_compare;
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_Base_ptr&
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_M_root() { return this->_M_header._M_parent; }
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_Const_Base_ptr
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_M_root() const { return this->_M_header._M_parent; }
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_Base_ptr&
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_M_leftmost() { return this->_M_header._M_left; }
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_Const_Base_ptr
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_M_leftmost() const { return this->_M_header._M_left; }
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_Base_ptr&
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_M_rightmost() { return this->_M_header._M_right; }
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_Const_Base_ptr
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_M_rightmost() const { return this->_M_header._M_right; }
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_Link_type
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_M_begin() { return static_cast<_Link_type>(this->_M_header._M_parent); }
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_Const_Link_type
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_M_begin() const { return static_cast<_Const_Link_type>(this->_M_header._M_parent); }
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_Link_type
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_M_end() { return static_cast<_Link_type>(&this->_M_header); }
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_Const_Link_type
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_M_end() const { return static_cast<_Const_Link_type>(&this->_M_header); }
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static const_reference
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_S_value(_Const_Link_type __x) { return __x->_M_value_field; }
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static const _Key&
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_S_key(_Const_Link_type __x) { return _KeyOfValue()(_S_value(__x)); }
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static _Link_type
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_S_left(_Base_ptr __x) { return static_cast<_Link_type>(__x->_M_left); }
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static _Const_Link_type
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_S_left(_Const_Base_ptr __x) { return static_cast<_Const_Link_type>(__x->_M_left); }
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static _Link_type
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_S_right(_Base_ptr __x) { return static_cast<_Link_type>(__x->_M_right); }
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static _Const_Link_type
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_S_right(_Const_Base_ptr __x) { return static_cast<_Const_Link_type>(__x->_M_right); }
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static const_reference
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_S_value(_Const_Base_ptr __x) { return static_cast<_Const_Link_type>(__x)->_M_value_field; }
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static const _Key&
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_S_key(_Const_Base_ptr __x) { return _KeyOfValue()(_S_value(__x)); }
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static _Base_ptr
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_S_minimum(_Base_ptr __x)
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{ return _Rb_tree_node_base::_S_minimum(__x); }
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static _Const_Base_ptr
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_S_minimum(_Const_Base_ptr __x)
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{ return _Rb_tree_node_base::_S_minimum(__x); }
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static _Base_ptr
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_S_maximum(_Base_ptr __x)
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{ return _Rb_tree_node_base::_S_maximum(__x); }
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static _Const_Base_ptr
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_S_maximum(_Const_Base_ptr __x)
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{ return _Rb_tree_node_base::_S_maximum(__x); }
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public:
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typedef _Rb_tree_iterator<value_type, reference, pointer> iterator;
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typedef _Rb_tree_iterator<value_type, const_reference, const_pointer>
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const_iterator;
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typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
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typedef std::reverse_iterator<iterator> reverse_iterator;
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private:
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iterator
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_M_insert(_Base_ptr __x, _Base_ptr __y, const value_type& __v);
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_Link_type
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_M_copy(_Const_Link_type __x, _Link_type __p);
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void
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_M_erase(_Link_type __x);
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public:
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// allocation/deallocation
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_Rb_tree()
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: _Base(allocator_type()), _M_node_count(0), _M_key_compare()
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{ _M_empty_initialize(); }
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_Rb_tree(const _Compare& __comp)
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: _Base(allocator_type()), _M_node_count(0), _M_key_compare(__comp)
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{ _M_empty_initialize(); }
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_Rb_tree(const _Compare& __comp, const allocator_type& __a)
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: _Base(__a), _M_node_count(0), _M_key_compare(__comp)
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{ _M_empty_initialize(); }
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_Rb_tree(const _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __x)
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: _Base(__x.get_allocator()), _M_node_count(0),
|
|
_M_key_compare(__x._M_key_compare)
|
|
{
|
|
if (__x._M_root() == 0)
|
|
_M_empty_initialize();
|
|
else
|
|
{
|
|
this->_M_header._M_color = _S_red;
|
|
_M_root() = _M_copy(__x._M_begin(), _M_end());
|
|
_M_leftmost() = _S_minimum(_M_root());
|
|
_M_rightmost() = _S_maximum(_M_root());
|
|
}
|
|
_M_node_count = __x._M_node_count;
|
|
}
|
|
|
|
~_Rb_tree() { clear(); }
|
|
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>&
|
|
operator=(const _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __x);
|
|
|
|
private:
|
|
void _M_empty_initialize()
|
|
{
|
|
// Used to distinguish header from __root, in iterator.operator++.
|
|
this->_M_header._M_color = _S_red;
|
|
_M_root() = 0;
|
|
_M_leftmost() = _M_end();
|
|
_M_rightmost() = _M_end();
|
|
}
|
|
|
|
public:
|
|
// Accessors.
|
|
_Compare
|
|
key_comp() const { return _M_key_compare; }
|
|
|
|
iterator
|
|
begin() { return static_cast<_Link_type>(this->_M_header._M_left); }
|
|
|
|
const_iterator
|
|
begin() const { return static_cast<_Const_Link_type>(this->_M_header._M_left); }
|
|
|
|
iterator
|
|
end() { return static_cast<_Link_type>(&this->_M_header); }
|
|
|
|
const_iterator
|
|
end() const { return static_cast<_Const_Link_type>(&this->_M_header); }
|
|
|
|
reverse_iterator
|
|
rbegin() { return reverse_iterator(end()); }
|
|
|
|
const_reverse_iterator
|
|
rbegin() const { return const_reverse_iterator(end()); }
|
|
|
|
reverse_iterator
|
|
rend() { return reverse_iterator(begin()); }
|
|
|
|
const_reverse_iterator
|
|
rend() const { return const_reverse_iterator(begin()); }
|
|
|
|
bool
|
|
empty() const { return _M_node_count == 0; }
|
|
|
|
size_type
|
|
size() const { return _M_node_count; }
|
|
|
|
size_type
|
|
max_size() const { return size_type(-1); }
|
|
|
|
void
|
|
swap(_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __t);
|
|
|
|
// Insert/erase.
|
|
pair<iterator,bool>
|
|
insert_unique(const value_type& __x);
|
|
|
|
iterator
|
|
insert_equal(const value_type& __x);
|
|
|
|
iterator
|
|
insert_unique(iterator __position, const value_type& __x);
|
|
|
|
iterator
|
|
insert_equal(iterator __position, const value_type& __x);
|
|
|
|
template<typename _InputIterator>
|
|
void
|
|
insert_unique(_InputIterator __first, _InputIterator __last);
|
|
|
|
template<typename _InputIterator>
|
|
void
|
|
insert_equal(_InputIterator __first, _InputIterator __last);
|
|
|
|
void
|
|
erase(iterator __position);
|
|
|
|
size_type
|
|
erase(const key_type& __x);
|
|
|
|
void
|
|
erase(iterator __first, iterator __last);
|
|
|
|
void
|
|
erase(const key_type* __first, const key_type* __last);
|
|
|
|
void
|
|
clear()
|
|
{
|
|
if (_M_node_count != 0)
|
|
{
|
|
_M_erase(_M_begin());
|
|
_M_leftmost() = _M_end();
|
|
_M_root() = 0;
|
|
_M_rightmost() = _M_end();
|
|
_M_node_count = 0;
|
|
}
|
|
}
|
|
|
|
// Set operations.
|
|
iterator
|
|
find(const key_type& __x);
|
|
|
|
const_iterator
|
|
find(const key_type& __x) const;
|
|
|
|
size_type
|
|
count(const key_type& __x) const;
|
|
|
|
iterator
|
|
lower_bound(const key_type& __x);
|
|
|
|
const_iterator
|
|
lower_bound(const key_type& __x) const;
|
|
|
|
iterator
|
|
upper_bound(const key_type& __x);
|
|
|
|
const_iterator
|
|
upper_bound(const key_type& __x) const;
|
|
|
|
pair<iterator,iterator>
|
|
equal_range(const key_type& __x);
|
|
|
|
pair<const_iterator, const_iterator>
|
|
equal_range(const key_type& __x) const;
|
|
|
|
// Debugging.
|
|
bool
|
|
__rb_verify() const;
|
|
};
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
inline bool
|
|
operator==(const _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __x,
|
|
const _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __y)
|
|
{
|
|
return __x.size() == __y.size() &&
|
|
equal(__x.begin(), __x.end(), __y.begin());
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
inline bool
|
|
operator<(const _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __x,
|
|
const _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __y)
|
|
{
|
|
return lexicographical_compare(__x.begin(), __x.end(),
|
|
__y.begin(), __y.end());
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
inline bool
|
|
operator!=(const _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __x,
|
|
const _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __y)
|
|
{ return !(__x == __y); }
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
inline bool
|
|
operator>(const _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __x,
|
|
const _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __y)
|
|
{ return __y < __x; }
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
inline bool
|
|
operator<=(const _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __x,
|
|
const _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __y)
|
|
{ return !(__y < __x); }
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
inline bool
|
|
operator>=(const _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __x,
|
|
const _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __y)
|
|
{ return !(__x < __y); }
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
inline void
|
|
swap(_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __x,
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __y)
|
|
{ __x.swap(__y); }
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>&
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::
|
|
operator=(const _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __x)
|
|
{
|
|
if (this != &__x)
|
|
{
|
|
// Note that _Key may be a constant type.
|
|
clear();
|
|
_M_node_count = 0;
|
|
_M_key_compare = __x._M_key_compare;
|
|
if (__x._M_root() == 0)
|
|
{
|
|
_M_root() = 0;
|
|
_M_leftmost() = _M_end();
|
|
_M_rightmost() = _M_end();
|
|
}
|
|
else
|
|
{
|
|
_M_root() = _M_copy(__x._M_begin(), _M_end());
|
|
_M_leftmost() = _S_minimum(_M_root());
|
|
_M_rightmost() = _S_maximum(_M_root());
|
|
_M_node_count = __x._M_node_count;
|
|
}
|
|
}
|
|
return *this;
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
typename _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::iterator
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::
|
|
_M_insert(_Base_ptr __x_, _Base_ptr __y_, const _Val& __v)
|
|
{
|
|
_Link_type __x = static_cast<_Link_type>(__x_);
|
|
_Link_type __y = static_cast<_Link_type>(__y_);
|
|
_Link_type __z;
|
|
|
|
if (__y == &this->_M_header || __x != 0 ||
|
|
_M_key_compare(_KeyOfValue()(__v), _S_key(__y)))
|
|
{
|
|
__z = _M_create_node(__v);
|
|
__y->_M_left = __z; // also makes _M_leftmost() = __z
|
|
// when __y == &_M_header
|
|
if (__y == &this->_M_header)
|
|
{
|
|
_M_root() = __z;
|
|
_M_rightmost() = __z;
|
|
}
|
|
else if (__y == _M_leftmost())
|
|
_M_leftmost() = __z; // maintain _M_leftmost() pointing to min node
|
|
}
|
|
else
|
|
{
|
|
__z = _M_create_node(__v);
|
|
__y->_M_right = __z;
|
|
// Maintain _M_rightmost() pointing to max node.
|
|
if (__y == _M_rightmost())
|
|
_M_rightmost() = __z;
|
|
}
|
|
__z->_M_parent = __y;
|
|
__z->_M_left = 0;
|
|
__z->_M_right = 0;
|
|
_Rb_tree_rebalance(__z, this->_M_header._M_parent);
|
|
++_M_node_count;
|
|
return iterator(__z);
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
typename _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::iterator
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::
|
|
insert_equal(const _Val& __v)
|
|
{
|
|
_Link_type __x = _M_begin();
|
|
_Link_type __y = _M_end();
|
|
while (__x != 0)
|
|
{
|
|
__y = __x;
|
|
__x = _M_key_compare(_KeyOfValue()(__v), _S_key(__x)) ?
|
|
_S_left(__x) : _S_right(__x);
|
|
}
|
|
return _M_insert(__x, __y, __v);
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
void
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::
|
|
swap(_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>& __t)
|
|
{
|
|
if (_M_root() == 0)
|
|
{
|
|
if (__t._M_root() != 0)
|
|
{
|
|
_M_root() = __t._M_root();
|
|
_M_leftmost() = __t._M_leftmost();
|
|
_M_rightmost() = __t._M_rightmost();
|
|
_M_root()->_M_parent = _M_end();
|
|
|
|
__t._M_root() = 0;
|
|
__t._M_leftmost() = __t._M_end();
|
|
__t._M_rightmost() = __t._M_end();
|
|
}
|
|
}
|
|
else if (__t._M_root() == 0)
|
|
{
|
|
__t._M_root() = _M_root();
|
|
__t._M_leftmost() = _M_leftmost();
|
|
__t._M_rightmost() = _M_rightmost();
|
|
__t._M_root()->_M_parent = __t._M_end();
|
|
|
|
_M_root() = 0;
|
|
_M_leftmost() = _M_end();
|
|
_M_rightmost() = _M_end();
|
|
}
|
|
else
|
|
{
|
|
std::swap(_M_root(),__t._M_root());
|
|
std::swap(_M_leftmost(),__t._M_leftmost());
|
|
std::swap(_M_rightmost(),__t._M_rightmost());
|
|
|
|
_M_root()->_M_parent = _M_end();
|
|
__t._M_root()->_M_parent = __t._M_end();
|
|
}
|
|
// No need to swap header's color as it does not change.
|
|
std::swap(this->_M_node_count, __t._M_node_count);
|
|
std::swap(this->_M_key_compare, __t._M_key_compare);
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
pair<typename _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::iterator,
|
|
bool>
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::
|
|
insert_unique(const _Val& __v)
|
|
{
|
|
_Link_type __x = _M_begin();
|
|
_Link_type __y = _M_end();
|
|
bool __comp = true;
|
|
while (__x != 0)
|
|
{
|
|
__y = __x;
|
|
__comp = _M_key_compare(_KeyOfValue()(__v), _S_key(__x));
|
|
__x = __comp ? _S_left(__x) : _S_right(__x);
|
|
}
|
|
iterator __j = iterator(__y);
|
|
if (__comp)
|
|
if (__j == begin())
|
|
return pair<iterator,bool>(_M_insert(__x, __y, __v), true);
|
|
else
|
|
--__j;
|
|
if (_M_key_compare(_S_key(__j._M_node), _KeyOfValue()(__v)))
|
|
return pair<iterator,bool>(_M_insert(__x, __y, __v), true);
|
|
return pair<iterator,bool>(__j, false);
|
|
}
|
|
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
typename _Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::iterator
|
|
_Rb_tree<_Key, _Val, _KeyOfValue, _Compare, _Alloc>::
|
|
insert_unique(iterator __position, const _Val& __v)
|
|
{
|
|
if (__position._M_node == this->_M_header._M_left)
|
|
{
|
|
// begin()
|
|
if (size() > 0 &&
|
|
_M_key_compare(_KeyOfValue()(__v), _S_key(__position._M_node)))
|
|
return _M_insert(__position._M_node, __position._M_node, __v);
|
|
// first argument just needs to be non-null
|
|
else
|
|
return insert_unique(__v).first;
|
|
}
|
|
else if (__position._M_node == &this->_M_header)
|
|
{
|
|
// end()
|
|
if (_M_key_compare(_S_key(_M_rightmost()), _KeyOfValue()(__v)))
|
|
return _M_insert(0, _M_rightmost(), __v);
|
|
else
|
|
return insert_unique(__v).first;
|
|
}
|
|
else
|
|
{
|
|
iterator __before = __position;
|
|
--__before;
|
|
if (_M_key_compare(_S_key(__before._M_node), _KeyOfValue()(__v))
|
|
&& _M_key_compare(_KeyOfValue()(__v),_S_key(__position._M_node)))
|
|
{
|
|
if (_S_right(__before._M_node) == 0)
|
|
return _M_insert(0, __before._M_node, __v);
|
|
else
|
|
return _M_insert(__position._M_node, __position._M_node, __v);
|
|
// first argument just needs to be non-null
|
|
}
|
|
else
|
|
return insert_unique(__v).first;
|
|
}
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
typename _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::iterator
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::
|
|
insert_equal(iterator __position, const _Val& __v)
|
|
{
|
|
if (__position._M_node == this->_M_header._M_left)
|
|
{
|
|
// begin()
|
|
if (size() > 0 &&
|
|
!_M_key_compare(_S_key(__position._M_node), _KeyOfValue()(__v)))
|
|
return _M_insert(__position._M_node, __position._M_node, __v);
|
|
// first argument just needs to be non-null
|
|
else
|
|
return insert_equal(__v);
|
|
}
|
|
else if (__position._M_node == &this->_M_header)
|
|
{
|
|
// end()
|
|
if (!_M_key_compare(_KeyOfValue()(__v), _S_key(_M_rightmost())))
|
|
return _M_insert(0, _M_rightmost(), __v);
|
|
else
|
|
return insert_equal(__v);
|
|
}
|
|
else
|
|
{
|
|
iterator __before = __position;
|
|
--__before;
|
|
if (!_M_key_compare(_KeyOfValue()(__v), _S_key(__before._M_node))
|
|
&& !_M_key_compare(_S_key(__position._M_node),
|
|
_KeyOfValue()(__v)))
|
|
{
|
|
if (_S_right(__before._M_node) == 0)
|
|
return _M_insert(0, __before._M_node, __v);
|
|
else
|
|
return _M_insert(__position._M_node, __position._M_node, __v);
|
|
// first argument just needs to be non-null
|
|
}
|
|
else
|
|
return insert_equal(__v);
|
|
}
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KoV,
|
|
typename _Cmp, typename _Alloc>
|
|
template<class _II>
|
|
void
|
|
_Rb_tree<_Key,_Val,_KoV,_Cmp,_Alloc>::
|
|
insert_equal(_II __first, _II __last)
|
|
{
|
|
for ( ; __first != __last; ++__first)
|
|
insert_equal(*__first);
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KoV,
|
|
typename _Cmp, typename _Alloc>
|
|
template<class _II>
|
|
void
|
|
_Rb_tree<_Key,_Val,_KoV,_Cmp,_Alloc>::
|
|
insert_unique(_II __first, _II __last)
|
|
{
|
|
for ( ; __first != __last; ++__first)
|
|
insert_unique(*__first);
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
inline void
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::erase(iterator __position)
|
|
{
|
|
_Link_type __y =
|
|
static_cast<_Link_type>(_Rb_tree_rebalance_for_erase(__position._M_node,
|
|
this->_M_header));
|
|
destroy_node(__y);
|
|
--_M_node_count;
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
typename _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::size_type
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::erase(const _Key& __x)
|
|
{
|
|
pair<iterator,iterator> __p = equal_range(__x);
|
|
size_type __n = std::distance(__p.first, __p.second);
|
|
erase(__p.first, __p.second);
|
|
return __n;
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KoV,
|
|
typename _Compare, typename _Alloc>
|
|
typename _Rb_tree<_Key, _Val, _KoV, _Compare, _Alloc>::_Link_type
|
|
_Rb_tree<_Key,_Val,_KoV,_Compare,_Alloc>::
|
|
_M_copy(_Const_Link_type __x, _Link_type __p)
|
|
{
|
|
// Structural copy. __x and __p must be non-null.
|
|
_Link_type __top = _M_clone_node(__x);
|
|
__top->_M_parent = __p;
|
|
|
|
try
|
|
{
|
|
if (__x->_M_right)
|
|
__top->_M_right = _M_copy(_S_right(__x), __top);
|
|
__p = __top;
|
|
__x = _S_left(__x);
|
|
|
|
while (__x != 0)
|
|
{
|
|
_Link_type __y = _M_clone_node(__x);
|
|
__p->_M_left = __y;
|
|
__y->_M_parent = __p;
|
|
if (__x->_M_right)
|
|
__y->_M_right = _M_copy(_S_right(__x), __y);
|
|
__p = __y;
|
|
__x = _S_left(__x);
|
|
}
|
|
}
|
|
catch(...)
|
|
{
|
|
_M_erase(__top);
|
|
__throw_exception_again;
|
|
}
|
|
return __top;
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
void
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::_M_erase(_Link_type __x)
|
|
{
|
|
// Erase without rebalancing.
|
|
while (__x != 0)
|
|
{
|
|
_M_erase(_S_right(__x));
|
|
_Link_type __y = _S_left(__x);
|
|
destroy_node(__x);
|
|
__x = __y;
|
|
}
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
void
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::
|
|
erase(iterator __first, iterator __last)
|
|
{
|
|
if (__first == begin() && __last == end())
|
|
clear();
|
|
else
|
|
while (__first != __last) erase(__first++);
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
void
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::
|
|
erase(const _Key* __first, const _Key* __last)
|
|
{
|
|
while (__first != __last)
|
|
erase(*__first++);
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
typename _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::iterator
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::find(const _Key& __k)
|
|
{
|
|
_Link_type __x = _M_begin(); // Current node.
|
|
_Link_type __y = _M_end(); // Last node which is not less than __k.
|
|
|
|
while (__x != 0)
|
|
if (!_M_key_compare(_S_key(__x), __k))
|
|
__y = __x, __x = _S_left(__x);
|
|
else
|
|
__x = _S_right(__x);
|
|
|
|
iterator __j = iterator(__y);
|
|
return (__j == end() || _M_key_compare(__k, _S_key(__j._M_node))) ?
|
|
end() : __j;
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
typename _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::const_iterator
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::
|
|
find(const _Key& __k) const
|
|
{
|
|
_Const_Link_type __x = _M_begin(); // Current node.
|
|
_Const_Link_type __y = _M_end(); // Last node which is not less than __k.
|
|
|
|
while (__x != 0)
|
|
{
|
|
if (!_M_key_compare(_S_key(__x), __k))
|
|
__y = __x, __x = _S_left(__x);
|
|
else
|
|
__x = _S_right(__x);
|
|
}
|
|
const_iterator __j = const_iterator(__y);
|
|
return (__j == end() || _M_key_compare(__k, _S_key(__j._M_node))) ?
|
|
end() : __j;
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
typename _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::size_type
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::
|
|
count(const _Key& __k) const
|
|
{
|
|
pair<const_iterator, const_iterator> __p = equal_range(__k);
|
|
size_type __n = std::distance(__p.first, __p.second);
|
|
return __n;
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
typename _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::iterator
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::
|
|
lower_bound(const _Key& __k)
|
|
{
|
|
_Link_type __x = _M_begin(); // Current node.
|
|
_Link_type __y = _M_end(); // Last node which is not less than __k.
|
|
|
|
while (__x != 0)
|
|
if (!_M_key_compare(_S_key(__x), __k))
|
|
__y = __x, __x = _S_left(__x);
|
|
else
|
|
__x = _S_right(__x);
|
|
|
|
return iterator(__y);
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
typename _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::const_iterator
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::
|
|
lower_bound(const _Key& __k) const
|
|
{
|
|
_Const_Link_type __x = _M_begin(); // Current node.
|
|
_Const_Link_type __y = _M_end(); // Last node which is not less than __k.
|
|
|
|
while (__x != 0)
|
|
if (!_M_key_compare(_S_key(__x), __k))
|
|
__y = __x, __x = _S_left(__x);
|
|
else
|
|
__x = _S_right(__x);
|
|
|
|
return const_iterator(__y);
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
typename _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::iterator
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::
|
|
upper_bound(const _Key& __k)
|
|
{
|
|
_Link_type __x = _M_begin(); // Current node.
|
|
_Link_type __y = _M_end(); // Last node which is greater than __k.
|
|
|
|
while (__x != 0)
|
|
if (_M_key_compare(__k, _S_key(__x)))
|
|
__y = __x, __x = _S_left(__x);
|
|
else
|
|
__x = _S_right(__x);
|
|
|
|
return iterator(__y);
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
typename _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::const_iterator
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::
|
|
upper_bound(const _Key& __k) const
|
|
{
|
|
_Const_Link_type __x = _M_begin(); // Current node.
|
|
_Const_Link_type __y = _M_end(); // Last node which is greater than __k.
|
|
|
|
while (__x != 0)
|
|
if (_M_key_compare(__k, _S_key(__x)))
|
|
__y = __x, __x = _S_left(__x);
|
|
else
|
|
__x = _S_right(__x);
|
|
|
|
return const_iterator(__y);
|
|
}
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
inline
|
|
pair<typename _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::iterator,
|
|
typename _Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::iterator>
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::
|
|
equal_range(const _Key& __k)
|
|
{ return pair<iterator, iterator>(lower_bound(__k), upper_bound(__k)); }
|
|
|
|
template<typename _Key, typename _Val, typename _KoV,
|
|
typename _Compare, typename _Alloc>
|
|
inline
|
|
pair<typename _Rb_tree<_Key, _Val, _KoV, _Compare, _Alloc>::const_iterator,
|
|
typename _Rb_tree<_Key, _Val, _KoV, _Compare, _Alloc>::const_iterator>
|
|
_Rb_tree<_Key, _Val, _KoV, _Compare, _Alloc>
|
|
::equal_range(const _Key& __k) const
|
|
{
|
|
return pair<const_iterator,const_iterator>(lower_bound(__k),
|
|
upper_bound(__k));
|
|
}
|
|
|
|
unsigned int
|
|
_Rb_tree_black_count(const _Rb_tree_node_base* __node,
|
|
const _Rb_tree_node_base* __root);
|
|
|
|
template<typename _Key, typename _Val, typename _KeyOfValue,
|
|
typename _Compare, typename _Alloc>
|
|
bool
|
|
_Rb_tree<_Key,_Val,_KeyOfValue,_Compare,_Alloc>::__rb_verify() const
|
|
{
|
|
if (_M_node_count == 0 || begin() == end())
|
|
return _M_node_count == 0 && begin() == end() &&
|
|
this->_M_header._M_left == &this->_M_header &&
|
|
this->_M_header._M_right == &this->_M_header;
|
|
|
|
unsigned int __len = _Rb_tree_black_count(_M_leftmost(), _M_root());
|
|
for (const_iterator __it = begin(); __it != end(); ++__it)
|
|
{
|
|
_Const_Link_type __x = static_cast<_Const_Link_type>(__it._M_node);
|
|
_Const_Link_type __L = _S_left(__x);
|
|
_Const_Link_type __R = _S_right(__x);
|
|
|
|
if (__x->_M_color == _S_red)
|
|
if ((__L && __L->_M_color == _S_red)
|
|
|| (__R && __R->_M_color == _S_red))
|
|
return false;
|
|
|
|
if (__L && _M_key_compare(_S_key(__x), _S_key(__L)))
|
|
return false;
|
|
if (__R && _M_key_compare(_S_key(__R), _S_key(__x)))
|
|
return false;
|
|
|
|
if (!__L && !__R && _Rb_tree_black_count(__x, _M_root()) != __len)
|
|
return false;
|
|
}
|
|
|
|
if (_M_leftmost() != _Rb_tree_node_base::_S_minimum(_M_root()))
|
|
return false;
|
|
if (_M_rightmost() != _Rb_tree_node_base::_S_maximum(_M_root()))
|
|
return false;
|
|
return true;
|
|
}
|
|
} // namespace std
|
|
|
|
#endif
|