/* * * Copyright (c) 1996,1997 * Silicon Graphics Computer Systems, Inc. * * Permission to use, copy, modify, distribute and sell this software * and its documentation for any purpose is hereby granted without fee, * provided that the above copyright notice appear in all copies and * that both that copyright notice and this permission notice appear * in supporting documentation. Silicon Graphics makes no * representations about the suitability of this software for any * purpose. It is provided "as is" without express or implied warranty. * * * Copyright (c) 1994 * Hewlett-Packard Company * * Permission to use, copy, modify, distribute and sell this software * and its documentation for any purpose is hereby granted without fee, * provided that the above copyright notice appear in all copies and * that both that copyright notice and this permission notice appear * in supporting documentation. Hewlett-Packard Company makes no * representations about the suitability of this software for any * purpose. It is provided "as is" without express or implied warranty. * * */ /* NOTE: This is an internal header file, included by other STL headers. * You should not attempt to use it directly. */ #ifndef __SGI_STL_INTERNAL_TREE_H #define __SGI_STL_INTERNAL_TREE_H /* Red-black tree class, designed for use in implementing STL associative containers (set, multiset, map, and multimap). The insertion and deletion algorithms are based on those in Cormen, Leiserson, and Rivest, Introduction to Algorithms (MIT Press, 1990), except that (1) the header cell is maintained with links not only to the root but also to the leftmost node of the tree, to enable constant time begin(), and to the rightmost node of the tree, to enable linear time performance when used with the generic set algorithms (set_union, etc.); (2) when a node being deleted has two children its successor node is relinked into its place, rather than copied, so that the only iterators invalidated are those referring to the deleted node. */ #include #include #include #include __STL_BEGIN_NAMESPACE #if defined(__sgi) && !defined(__GNUC__) && (_MIPS_SIM != _MIPS_SIM_ABI32) #pragma set woff 1375 #endif typedef bool _Rb_tree_Color_type; const _Rb_tree_Color_type _S_rb_tree_red = false; const _Rb_tree_Color_type _S_rb_tree_black = true; struct _Rb_tree_node_base { typedef _Rb_tree_Color_type _Color_type; typedef _Rb_tree_node_base* _Base_ptr; _Color_type _M_color; _Base_ptr _M_parent; _Base_ptr _M_left; _Base_ptr _M_right; static _Base_ptr _S_minimum(_Base_ptr __x) { while (__x->_M_left != 0) __x = __x->_M_left; return __x; } static _Base_ptr _S_maximum(_Base_ptr __x) { while (__x->_M_right != 0) __x = __x->_M_right; return __x; } }; template struct _Rb_tree_node : public _Rb_tree_node_base { typedef _Rb_tree_node<_Value>* _Link_type; _Value _M_value_field; }; struct _Rb_tree_base_iterator { typedef _Rb_tree_node_base::_Base_ptr _Base_ptr; typedef bidirectional_iterator_tag iterator_category; typedef ptrdiff_t difference_type; _Base_ptr _M_node; void _M_increment() { if (_M_node->_M_right != 0) { _M_node = _M_node->_M_right; while (_M_node->_M_left != 0) _M_node = _M_node->_M_left; } else { _Base_ptr __y = _M_node->_M_parent; while (_M_node == __y->_M_right) { _M_node = __y; __y = __y->_M_parent; } if (_M_node->_M_right != __y) _M_node = __y; } } void _M_decrement() { if (_M_node->_M_color == _S_rb_tree_red && _M_node->_M_parent->_M_parent == _M_node) _M_node = _M_node->_M_right; else if (_M_node->_M_left != 0) { _Base_ptr __y = _M_node->_M_left; while (__y->_M_right != 0) __y = __y->_M_right; _M_node = __y; } else { _Base_ptr __y = _M_node->_M_parent; while (_M_node == __y->_M_left) { _M_node = __y; __y = __y->_M_parent; } _M_node = __y; } } }; template struct _Rb_tree_iterator : public _Rb_tree_base_iterator { typedef _Value value_type; typedef _Ref reference; typedef _Ptr pointer; typedef _Rb_tree_iterator<_Value, _Value&, _Value*> iterator; typedef _Rb_tree_iterator<_Value, const _Value&, const _Value*> const_iterator; typedef _Rb_tree_iterator<_Value, _Ref, _Ptr> _Self; typedef _Rb_tree_node<_Value>* _Link_type; _Rb_tree_iterator() {} _Rb_tree_iterator(_Link_type __x) { _M_node = __x; } _Rb_tree_iterator(const iterator& __it) { _M_node = __it._M_node; } reference operator*() const { return _Link_type(_M_node)->_M_value_field; } #ifndef __SGI_STL_NO_ARROW_OPERATOR pointer operator->() const { return &(operator*()); } #endif /* __SGI_STL_NO_ARROW_OPERATOR */ _Self& operator++() { _M_increment(); return *this; } _Self operator++(int) { _Self __tmp = *this; _M_increment(); return __tmp; } _Self& operator--() { _M_decrement(); return *this; } _Self operator--(int) { _Self __tmp = *this; _M_decrement(); return __tmp; } }; inline bool operator==(const _Rb_tree_base_iterator& __x, const _Rb_tree_base_iterator& __y) { return __x._M_node == __y._M_node; } inline bool operator!=(const _Rb_tree_base_iterator& __x, const _Rb_tree_base_iterator& __y) { return __x._M_node != __y._M_node; } #ifndef __STL_CLASS_PARTIAL_SPECIALIZATION inline bidirectional_iterator_tag iterator_category(const _Rb_tree_base_iterator&) { return bidirectional_iterator_tag(); } inline _Rb_tree_base_iterator::difference_type* distance_type(const _Rb_tree_base_iterator&) { return (_Rb_tree_base_iterator::difference_type*) 0; } template inline _Value* value_type(const _Rb_tree_iterator<_Value, _Ref, _Ptr>&) { return (_Value*) 0; } #endif /* __STL_CLASS_PARTIAL_SPECIALIZATION */ inline void _Rb_tree_rotate_left(_Rb_tree_node_base* __x, _Rb_tree_node_base*& __root) { _Rb_tree_node_base* __y = __x->_M_right; __x->_M_right = __y->_M_left; if (__y->_M_left !=0) __y->_M_left->_M_parent = __x; __y->_M_parent = __x->_M_parent; if (__x == __root) __root = __y; else if (__x == __x->_M_parent->_M_left) __x->_M_parent->_M_left = __y; else __x->_M_parent->_M_right = __y; __y->_M_left = __x; __x->_M_parent = __y; } inline void _Rb_tree_rotate_right(_Rb_tree_node_base* __x, _Rb_tree_node_base*& __root) { _Rb_tree_node_base* __y = __x->_M_left; __x->_M_left = __y->_M_right; if (__y->_M_right != 0) __y->_M_right->_M_parent = __x; __y->_M_parent = __x->_M_parent; if (__x == __root) __root = __y; else if (__x == __x->_M_parent->_M_right) __x->_M_parent->_M_right = __y; else __x->_M_parent->_M_left = __y; __y->_M_right = __x; __x->_M_parent = __y; } inline void _Rb_tree_rebalance(_Rb_tree_node_base* __x, _Rb_tree_node_base*& __root) { __x->_M_color = _S_rb_tree_red; while (__x != __root && __x->_M_parent->_M_color == _S_rb_tree_red) { if (__x->_M_parent == __x->_M_parent->_M_parent->_M_left) { _Rb_tree_node_base* __y = __x->_M_parent->_M_parent->_M_right; if (__y && __y->_M_color == _S_rb_tree_red) { __x->_M_parent->_M_color = _S_rb_tree_black; __y->_M_color = _S_rb_tree_black; __x->_M_parent->_M_parent->_M_color = _S_rb_tree_red; __x = __x->_M_parent->_M_parent; } else { if (__x == __x->_M_parent->_M_right) { __x = __x->_M_parent; _Rb_tree_rotate_left(__x, __root); } __x->_M_parent->_M_color = _S_rb_tree_black; __x->_M_parent->_M_parent->_M_color = _S_rb_tree_red; _Rb_tree_rotate_right(__x->_M_parent->_M_parent, __root); } } else { _Rb_tree_node_base* __y = __x->_M_parent->_M_parent->_M_left; if (__y && __y->_M_color == _S_rb_tree_red) { __x->_M_parent->_M_color = _S_rb_tree_black; __y->_M_color = _S_rb_tree_black; __x->_M_parent->_M_parent->_M_color = _S_rb_tree_red; __x = __x->_M_parent->_M_parent; } else { if (__x == __x->_M_parent->_M_left) { __x = __x->_M_parent; _Rb_tree_rotate_right(__x, __root); } __x->_M_parent->_M_color = _S_rb_tree_black; __x->_M_parent->_M_parent->_M_color = _S_rb_tree_red; _Rb_tree_rotate_left(__x->_M_parent->_M_parent, __root); } } } __root->_M_color = _S_rb_tree_black; } inline _Rb_tree_node_base* _Rb_tree_rebalance_for_erase(_Rb_tree_node_base* __z, _Rb_tree_node_base*& __root, _Rb_tree_node_base*& __leftmost, _Rb_tree_node_base*& __rightmost) { _Rb_tree_node_base* __y = __z; _Rb_tree_node_base* __x = 0; _Rb_tree_node_base* __x_parent = 0; if (__y->_M_left == 0) // __z has at most one non-null child. y == z. __x = __y->_M_right; // __x might be null. else if (__y->_M_right == 0) // __z has exactly one non-null child. y == z. __x = __y->_M_left; // __x is not null. else { // __z has two non-null children. Set __y to __y = __y->_M_right; // __z's successor. __x might be null. while (__y->_M_left != 0) __y = __y->_M_left; __x = __y->_M_right; } if (__y != __z) { // relink y in place of z. y is z's successor __z->_M_left->_M_parent = __y; __y->_M_left = __z->_M_left; if (__y != __z->_M_right) { __x_parent = __y->_M_parent; if (__x) __x->_M_parent = __y->_M_parent; __y->_M_parent->_M_left = __x; // __y must be a child of _M_left __y->_M_right = __z->_M_right; __z->_M_right->_M_parent = __y; } else __x_parent = __y; if (__root == __z) __root = __y; else if (__z->_M_parent->_M_left == __z) __z->_M_parent->_M_left = __y; else __z->_M_parent->_M_right = __y; __y->_M_parent = __z->_M_parent; __STD::swap(__y->_M_color, __z->_M_color); __y = __z; // __y now points to node to be actually deleted } else { // __y == __z __x_parent = __y->_M_parent; if (__x) __x->_M_parent = __y->_M_parent; if (__root == __z) __root = __x; else if (__z->_M_parent->_M_left == __z) __z->_M_parent->_M_left = __x; else __z->_M_parent->_M_right = __x; if (__leftmost == __z) if (__z->_M_right == 0) // __z->_M_left must be null also __leftmost = __z->_M_parent; // makes __leftmost == _M_header if __z == __root else __leftmost = _Rb_tree_node_base::_S_minimum(__x); if (__rightmost == __z) if (__z->_M_left == 0) // __z->_M_right must be null also __rightmost = __z->_M_parent; // makes __rightmost == _M_header if __z == __root else // __x == __z->_M_left __rightmost = _Rb_tree_node_base::_S_maximum(__x); } if (__y->_M_color != _S_rb_tree_red) { while (__x != __root && (__x == 0 || __x->_M_color == _S_rb_tree_black)) if (__x == __x_parent->_M_left) { _Rb_tree_node_base* __w = __x_parent->_M_right; if (__w->_M_color == _S_rb_tree_red) { __w->_M_color = _S_rb_tree_black; __x_parent->_M_color = _S_rb_tree_red; _Rb_tree_rotate_left(__x_parent, __root); __w = __x_parent->_M_right; } if ((__w->_M_left == 0 || __w->_M_left->_M_color == _S_rb_tree_black) && (__w->_M_right == 0 || __w->_M_right->_M_color == _S_rb_tree_black)) { __w->_M_color = _S_rb_tree_red; __x = __x_parent; __x_parent = __x_parent->_M_parent; } else { if (__w->_M_right == 0 || __w->_M_right->_M_color == _S_rb_tree_black) { if (__w->_M_left) __w->_M_left->_M_color = _S_rb_tree_black; __w->_M_color = _S_rb_tree_red; _Rb_tree_rotate_right(__w, __root); __w = __x_parent->_M_right; } __w->_M_color = __x_parent->_M_color; __x_parent->_M_color = _S_rb_tree_black; if (__w->_M_right) __w->_M_right->_M_color = _S_rb_tree_black; _Rb_tree_rotate_left(__x_parent, __root); break; } } else { // same as above, with _M_right <-> _M_left. _Rb_tree_node_base* __w = __x_parent->_M_left; if (__w->_M_color == _S_rb_tree_red) { __w->_M_color = _S_rb_tree_black; __x_parent->_M_color = _S_rb_tree_red; _Rb_tree_rotate_right(__x_parent, __root); __w = __x_parent->_M_left; } if ((__w->_M_right == 0 || __w->_M_right->_M_color == _S_rb_tree_black) && (__w->_M_left == 0 || __w->_M_left->_M_color == _S_rb_tree_black)) { __w->_M_color = _S_rb_tree_red; __x = __x_parent; __x_parent = __x_parent->_M_parent; } else { if (__w->_M_left == 0 || __w->_M_left->_M_color == _S_rb_tree_black) { if (__w->_M_right) __w->_M_right->_M_color = _S_rb_tree_black; __w->_M_color = _S_rb_tree_red; _Rb_tree_rotate_left(__w, __root); __w = __x_parent->_M_left; } __w->_M_color = __x_parent->_M_color; __x_parent->_M_color = _S_rb_tree_black; if (__w->_M_left) __w->_M_left->_M_color = _S_rb_tree_black; _Rb_tree_rotate_right(__x_parent, __root); break; } } if (__x) __x->_M_color = _S_rb_tree_black; } return __y; } // Base class to encapsulate the differences between old SGI-style // allocators and standard-conforming allocators. In order to avoid // having an empty base class, we arbitrarily move one of rb_tree's // data members into the base class. #ifdef __STL_USE_STD_ALLOCATORS // _Base for general standard-conforming allocators. template class _Rb_tree_alloc_base { public: typedef typename _Alloc_traits<_Tp, _Alloc>::allocator_type allocator_type; allocator_type get_allocator() const { return _M_node_allocator; } _Rb_tree_alloc_base(const allocator_type& __a) : _M_node_allocator(__a), _M_header(0) {} protected: typename _Alloc_traits<_Rb_tree_node<_Tp>, _Alloc>::allocator_type _M_node_allocator; _Rb_tree_node<_Tp>* _M_header; _Rb_tree_node<_Tp>* _M_get_node() { return _M_node_allocator.allocate(1); } void _M_put_node(_Rb_tree_node<_Tp>* __p) { _M_node_allocator.deallocate(__p, 1); } }; // Specialization for instanceless allocators. template class _Rb_tree_alloc_base<_Tp, _Alloc, true> { public: typedef typename _Alloc_traits<_Tp, _Alloc>::allocator_type allocator_type; allocator_type get_allocator() const { return allocator_type(); } _Rb_tree_alloc_base(const allocator_type&) : _M_header(0) {} protected: _Rb_tree_node<_Tp>* _M_header; typedef typename _Alloc_traits<_Rb_tree_node<_Tp>, _Alloc>::_Alloc_type _Alloc_type; _Rb_tree_node<_Tp>* _M_get_node() { return _Alloc_type::allocate(1); } void _M_put_node(_Rb_tree_node<_Tp>* __p) { _Alloc_type::deallocate(__p, 1); } }; template struct _Rb_tree_base : public _Rb_tree_alloc_base<_Tp, _Alloc, _Alloc_traits<_Tp, _Alloc>::_S_instanceless> { typedef _Rb_tree_alloc_base<_Tp, _Alloc, _Alloc_traits<_Tp, _Alloc>::_S_instanceless> _Base; typedef typename _Base::allocator_type allocator_type; _Rb_tree_base(const allocator_type& __a) : _Base(__a) { this->_M_header = this->_M_get_node(); } ~_Rb_tree_base() { this->_M_put_node(this->_M_header); } }; #else /* __STL_USE_STD_ALLOCATORS */ template struct _Rb_tree_base { typedef _Alloc allocator_type; allocator_type get_allocator() const { return allocator_type(); } _Rb_tree_base(const allocator_type&) : _M_header(0) { this->_M_header = this->_M_get_node(); } ~_Rb_tree_base() { this->_M_put_node(this->_M_header); } protected: _Rb_tree_node<_Tp>* _M_header; typedef simple_alloc<_Rb_tree_node<_Tp>, _Alloc> _Alloc_type; _Rb_tree_node<_Tp>* _M_get_node() { return _Alloc_type::allocate(1); } void _M_put_node(_Rb_tree_node<_Tp>* __p) { _Alloc_type::deallocate(__p, 1); } }; #endif /* __STL_USE_STD_ALLOCATORS */ template class _Rb_tree : protected _Rb_tree_base<_Value, _Alloc> { typedef _Rb_tree_base<_Value, _Alloc> _Base; protected: typedef _Rb_tree_node_base* _Base_ptr; typedef _Rb_tree_node<_Value> _Rb_tree_node; typedef _Rb_tree_Color_type _Color_type; public: typedef _Key key_type; typedef _Value value_type; typedef value_type* pointer; typedef const value_type* const_pointer; typedef value_type& reference; typedef const value_type& const_reference; typedef _Rb_tree_node* _Link_type; typedef size_t size_type; typedef ptrdiff_t difference_type; typedef typename _Base::allocator_type allocator_type; allocator_type get_allocator() const { return _Base::get_allocator(); } protected: using _Base::_M_get_node; using _Base::_M_put_node; using _Base::_M_header; protected: _Link_type _M_create_node(const value_type& __x) { _Link_type __tmp = _M_get_node(); __STL_TRY { construct(&__tmp->_M_value_field, __x); } __STL_UNWIND(_M_put_node(__tmp)); return __tmp; } _Link_type _M_clone_node(_Link_type __x) { _Link_type __tmp = _M_create_node(__x->_M_value_field); __tmp->_M_color = __x->_M_color; __tmp->_M_left = 0; __tmp->_M_right = 0; return __tmp; } void destroy_node(_Link_type __p) { destroy(&__p->_M_value_field); _M_put_node(__p); } protected: size_type _M_node_count; // keeps track of size of tree _Compare _M_key_compare; _Link_type& _M_root() const { return (_Link_type&) _M_header->_M_parent; } _Link_type& _M_leftmost() const { return (_Link_type&) _M_header->_M_left; } _Link_type& _M_rightmost() const { return (_Link_type&) _M_header->_M_right; } static _Link_type& _S_left(_Link_type __x) { return (_Link_type&)(__x->_M_left); } static _Link_type& _S_right(_Link_type __x) { return (_Link_type&)(__x->_M_right); } static _Link_type& _S_parent(_Link_type __x) { return (_Link_type&)(__x->_M_parent); } static reference _S_value(_Link_type __x) { return __x->_M_value_field; } static const _Key& _S_key(_Link_type __x) { return _KeyOfValue()(_S_value(__x)); } static _Color_type& _S_color(_Link_type __x) { return (_Color_type&)(__x->_M_color); } static _Link_type& _S_left(_Base_ptr __x) { return (_Link_type&)(__x->_M_left); } static _Link_type& _S_right(_Base_ptr __x) { return (_Link_type&)(__x->_M_right); } static _Link_type& _S_parent(_Base_ptr __x) { return (_Link_type&)(__x->_M_parent); } static reference _S_value(_Base_ptr __x) { return ((_Link_type)__x)->_M_value_field; } static const _Key& _S_key(_Base_ptr __x) { return _KeyOfValue()(_S_value(_Link_type(__x)));} static _Color_type& _S_color(_Base_ptr __x) { return (_Color_type&)(_Link_type(__x)->_M_color); } static _Link_type _S_minimum(_Link_type __x) { return (_Link_type) _Rb_tree_node_base::_S_minimum(__x); } static _Link_type _S_maximum(_Link_type __x) { return (_Link_type) _Rb_tree_node_base::_S_maximum(__x); } public: typedef _Rb_tree_iterator iterator; typedef _Rb_tree_iterator const_iterator; #ifdef __STL_CLASS_PARTIAL_SPECIALIZATION typedef reverse_iterator const_reverse_iterator; typedef reverse_iterator reverse_iterator; #else /* __STL_CLASS_PARTIAL_SPECIALIZATION */ typedef reverse_bidirectional_iterator reverse_iterator; typedef reverse_bidirectional_iterator const_reverse_iterator; #endif /* __STL_CLASS_PARTIAL_SPECIALIZATION */ private: iterator _M_insert(_Base_ptr __x, _Base_ptr __y, const value_type& __v); _Link_type _M_copy(_Link_type __x, _Link_type __p); void _M_erase(_Link_type __x); public: // allocation/deallocation _Rb_tree() : _Base(allocator_type()), _M_node_count(0), _M_key_compare() { _M_empty_initialize(); } _Rb_tree(const _Compare& __comp) : _Base(allocator_type()), _M_node_count(0), _M_key_compare(__comp) { _M_empty_initialize(); } _Rb_tree(const _Compare& __comp, const allocator_type& __a) : _Base(__a), _M_node_count(0), _M_key_compare(__comp) { _M_empty_initialize(); } _Rb_tree(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x) : _Base(__x.get_allocator()), _M_node_count(0), _M_key_compare(__x._M_key_compare) { if (__x._M_root() == 0) _M_empty_initialize(); else { _S_color(_M_header) = _S_rb_tree_red; _M_root() = _M_copy(__x._M_root(), _M_header); _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,_Value,_KeyOfValue,_Compare,_Alloc>& operator=(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x); private: void _M_empty_initialize() { _S_color(_M_header) = _S_rb_tree_red; // used to distinguish header from // __root, in iterator.operator++ _M_root() = 0; _M_leftmost() = _M_header; _M_rightmost() = _M_header; } public: // accessors: _Compare key_comp() const { return _M_key_compare; } iterator begin() { return _M_leftmost(); } const_iterator begin() const { return _M_leftmost(); } iterator end() { return _M_header; } const_iterator end() const { return _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,_Value,_KeyOfValue,_Compare,_Alloc>& __t) { __STD::swap(_M_header, __t._M_header); __STD::swap(_M_node_count, __t._M_node_count); __STD::swap(_M_key_compare, __t._M_key_compare); } public: // insert/erase pair 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); #ifdef __STL_MEMBER_TEMPLATES template void insert_unique(_InputIterator __first, _InputIterator __last); template void insert_equal(_InputIterator __first, _InputIterator __last); #else /* __STL_MEMBER_TEMPLATES */ void insert_unique(const_iterator __first, const_iterator __last); void insert_unique(const value_type* __first, const value_type* __last); void insert_equal(const_iterator __first, const_iterator __last); void insert_equal(const value_type* __first, const value_type* __last); #endif /* __STL_MEMBER_TEMPLATES */ 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_root()); _M_leftmost() = _M_header; _M_root() = 0; _M_rightmost() = _M_header; _M_node_count = 0; } } public: // 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 equal_range(const key_type& __x); pair equal_range(const key_type& __x) const; public: // Debugging. bool __rb_verify() const; }; template inline bool operator==(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x, const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __y) { return __x.size() == __y.size() && equal(__x.begin(), __x.end(), __y.begin()); } template inline bool operator<(const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x, const _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __y) { return lexicographical_compare(__x.begin(), __x.end(), __y.begin(), __y.end()); } #ifdef __STL_FUNCTION_TMPL_PARTIAL_ORDER template inline void swap(_Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __x, _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& __y) { __x.swap(__y); } #endif /* __STL_FUNCTION_TMPL_PARTIAL_ORDER */ template _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>& _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc> ::operator=(const _Rb_tree<_Key,_Value,_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_header; _M_rightmost() = _M_header; } else { _M_root() = _M_copy(__x._M_root(), _M_header); _M_leftmost() = _S_minimum(_M_root()); _M_rightmost() = _S_maximum(_M_root()); _M_node_count = __x._M_node_count; } } return *this; } template typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::iterator _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc> ::_M_insert(_Base_ptr __x_, _Base_ptr __y_, const _Value& __v) { _Link_type __x = (_Link_type) __x_; _Link_type __y = (_Link_type) __y_; _Link_type __z; if (__y == _M_header || __x != 0 || _M_key_compare(_KeyOfValue()(__v), _S_key(__y))) { __z = _M_create_node(__v); _S_left(__y) = __z; // also makes _M_leftmost() = __z // when __y == _M_header if (__y == _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); _S_right(__y) = __z; if (__y == _M_rightmost()) _M_rightmost() = __z; // maintain _M_rightmost() pointing to max node } _S_parent(__z) = __y; _S_left(__z) = 0; _S_right(__z) = 0; _Rb_tree_rebalance(__z, _M_header->_M_parent); ++_M_node_count; return iterator(__z); } template typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::iterator _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc> ::insert_equal(const _Value& __v) { _Link_type __y = _M_header; _Link_type __x = _M_root(); 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 pair::iterator, bool> _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc> ::insert_unique(const _Value& __v) { _Link_type __y = _M_header; _Link_type __x = _M_root(); 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(_M_insert(__x, __y, __v), true); else --__j; if (_M_key_compare(_S_key(__j._M_node), _KeyOfValue()(__v))) return pair(_M_insert(__x, __y, __v), true); return pair(__j, false); } template 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 == _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 == _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 _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 == _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_equal(__v); } else if (__position._M_node == _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); } } #ifdef __STL_MEMBER_TEMPLATES template template void _Rb_tree<_Key,_Val,_KoV,_Cmp,_Alloc> ::insert_equal(_II __first, _II __last) { for ( ; __first != __last; ++__first) insert_equal(*__first); } template template void _Rb_tree<_Key,_Val,_KoV,_Cmp,_Alloc> ::insert_unique(_II __first, _II __last) { for ( ; __first != __last; ++__first) insert_unique(*__first); } #else /* __STL_MEMBER_TEMPLATES */ template void _Rb_tree<_Key,_Val,_KoV,_Cmp,_Alloc> ::insert_equal(const _Val* __first, const _Val* __last) { for ( ; __first != __last; ++__first) insert_equal(*__first); } template void _Rb_tree<_Key,_Val,_KoV,_Cmp,_Alloc> ::insert_equal(const_iterator __first, const_iterator __last) { for ( ; __first != __last; ++__first) insert_equal(*__first); } template void _Rb_tree<_Key,_Val,_KoV,_Cmp,_Alloc> ::insert_unique(const _Val* __first, const _Val* __last) { for ( ; __first != __last; ++__first) insert_unique(*__first); } template void _Rb_tree<_Key,_Val,_KoV,_Cmp,_Alloc> ::insert_unique(const_iterator __first, const_iterator __last) { for ( ; __first != __last; ++__first) insert_unique(*__first); } #endif /* __STL_MEMBER_TEMPLATES */ template inline void _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc> ::erase(iterator __position) { _Link_type __y = (_Link_type) _Rb_tree_rebalance_for_erase(__position._M_node, _M_header->_M_parent, _M_header->_M_left, _M_header->_M_right); destroy_node(__y); --_M_node_count; } template typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::size_type _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::erase(const _Key& __x) { pair __p = equal_range(__x); size_type __n = 0; distance(__p.first, __p.second, __n); erase(__p.first, __p.second); return __n; } template typename _Rb_tree<_Key, _Val, _KoV, _Compare, _Alloc>::_Link_type _Rb_tree<_Key,_Val,_KoV,_Compare,_Alloc> ::_M_copy(_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; __STL_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); } } __STL_UNWIND(_M_erase(__top)); return __top; } template void _Rb_tree<_Key,_Value,_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 void _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc> ::erase(iterator __first, iterator __last) { if (__first == begin() && __last == end()) clear(); else while (__first != __last) erase(__first++); } template void _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc> ::erase(const _Key* __first, const _Key* __last) { while (__first != __last) erase(*__first++); } template typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::iterator _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::find(const _Key& __k) { _Link_type __y = _M_header; // Last node which is not less than __k. _Link_type __x = _M_root(); // Current node. 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 _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::const_iterator _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::find(const _Key& __k) const { _Link_type __y = _M_header; /* Last node which is not less than __k. */ _Link_type __x = _M_root(); /* Current node. */ 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 _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::size_type _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc> ::count(const _Key& __k) const { pair __p = equal_range(__k); size_type __n = 0; distance(__p.first, __p.second, __n); return __n; } template typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::iterator _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc> ::lower_bound(const _Key& __k) { _Link_type __y = _M_header; /* Last node which is not less than __k. */ _Link_type __x = _M_root(); /* Current node. */ 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 _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::const_iterator _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc> ::lower_bound(const _Key& __k) const { _Link_type __y = _M_header; /* Last node which is not less than __k. */ _Link_type __x = _M_root(); /* Current node. */ 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 _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::iterator _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc> ::upper_bound(const _Key& __k) { _Link_type __y = _M_header; /* Last node which is greater than __k. */ _Link_type __x = _M_root(); /* Current node. */ 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 _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::const_iterator _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc> ::upper_bound(const _Key& __k) const { _Link_type __y = _M_header; /* Last node which is greater than __k. */ _Link_type __x = _M_root(); /* Current node. */ 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 inline pair::iterator, typename _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::iterator> _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc> ::equal_range(const _Key& __k) { return pair(lower_bound(__k), upper_bound(__k)); } template inline pair::const_iterator, typename _Rb_tree<_Key, _Value, _KoV, _Compare, _Alloc>::const_iterator> _Rb_tree<_Key, _Value, _KoV, _Compare, _Alloc> ::equal_range(const _Key& __k) const { return pair(lower_bound(__k), upper_bound(__k)); } inline int __black_count(_Rb_tree_node_base* __node, _Rb_tree_node_base* __root) { if (__node == 0) return 0; else { int __bc = __node->_M_color == _S_rb_tree_black ? 1 : 0; if (__node == __root) return __bc; else return __bc + __black_count(__node->_M_parent, __root); } } template bool _Rb_tree<_Key,_Value,_KeyOfValue,_Compare,_Alloc>::__rb_verify() const { if (_M_node_count == 0 || begin() == end()) return _M_node_count == 0 && begin() == end() && _M_header->_M_left == _M_header && _M_header->_M_right == _M_header; int __len = __black_count(_M_leftmost(), _M_root()); for (const_iterator __it = begin(); __it != end(); ++__it) { _Link_type __x = (_Link_type) __it._M_node; _Link_type __L = _S_left(__x); _Link_type __R = _S_right(__x); if (__x->_M_color == _S_rb_tree_red) if ((__L && __L->_M_color == _S_rb_tree_red) || (__R && __R->_M_color == _S_rb_tree_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 && __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; } // Class rb_tree is not part of the C++ standard. It is provided for // compatibility with the HP STL. template struct rb_tree : public _Rb_tree<_Key, _Value, _KeyOfValue, _Compare, _Alloc> { typedef _Rb_tree<_Key, _Value, _KeyOfValue, _Compare, _Alloc> _Base; typedef typename _Base::allocator_type allocator_type; rb_tree(const _Compare& __comp = _Compare(), const allocator_type& __a = allocator_type()) : _Base(__comp, __a) {} ~rb_tree() {} }; #if defined(__sgi) && !defined(__GNUC__) && (_MIPS_SIM != _MIPS_SIM_ABI32) #pragma reset woff 1375 #endif __STL_END_NAMESPACE #endif /* __SGI_STL_INTERNAL_TREE_H */ // Local Variables: // mode:C++ // End: