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TREE.H
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#ifndef __STD_TREE__
#define __STD_TREE__
/* $Revision: 8.1 $ */
/***************************************************************************
*
* tree - Declarations for the Standard Library tree classes
*
* $Id: tree,v 1.43 1995/09/18 23:41:41 lijewski Exp $
*
***************************************************************************
*
* 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.
*
*
***************************************************************************
*
* (c) Copyright 1994, 1995 Rogue Wave Software, Inc.
* ALL RIGHTS RESERVED
*
* The software and information contained herein are proprietary to, and
* comprise valuable trade secrets of, Rogue Wave Software, Inc., which
* intends to preserve as trade secrets such software and information.
* This software is furnished pursuant to a written license agreement and
* may be used, copied, transmitted, and stored only in accordance with
* the terms of such license and with the inclusion of the above copyright
* notice. This software and information or any other copies thereof may
* not be provided or otherwise made available to any other person.
*
* Notwithstanding any other lease or license that may pertain to, or
* accompany the delivery of, this computer software and information, the
* rights of the Government regarding its use, reproduction and disclosure
* are as set forth in Section 52.227-19 of the FARS Computer
* Software-Restricted Rights clause.
*
* Use, duplication, or disclosure by the Government is subject to
* restrictions as set forth in subparagraph (c)(1)(ii) of the Rights in
* Technical Data and Computer Software clause at DFARS 252.227-7013.
* Contractor/Manufacturer is Rogue Wave Software, Inc.,
* P.O. Box 2328, Corvallis, Oregon 97339.
*
* This computer software and information is distributed with "restricted
* rights." Use, duplication or disclosure is subject to restrictions as
* set forth in NASA FAR SUP 18-52.227-79 (April 1985) "Commercial
* Computer Software-Restricted Rights (April 1985)." If the Clause at
* 18-52.227-74 "Rights in Data General" is specified in the contract,
* then the "Alternate III" clause applies.
*
**************************************************************************/
/*
**
** 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 <stdcomp.h>
#include <algorith>
#include <iterator>
#include <function>
#ifdef RWSTD_MULTI_THREAD
#include <stdmutex.h>
#endif
#ifndef RWSTD_NO_NAMESPACE
namespace std {
#endif
#ifndef rb_tree
#define rb_tree rb_tree
#endif
//
// And a mutex to ensure NIL gets set properly for each type of tree.
//
#ifdef RWSTD_MULTI_THREAD
extern RWSTDMutex __stl_tree_mutex;
#endif
template <class Key, class Value, class KeyOfValue, class Compare>
class rb_tree
{
protected:
enum color_type { RED, BLACK };
typedef Allocator<void>::pointer void_pointer;
struct rb_tree_node;
friend struct rb_tree_node;
struct rb_tree_node
{
color_type color_field;
void_pointer parent_link;
void_pointer left_link;
void_pointer right_link;
Value value_field;
};
Allocator<rb_tree_node> rb_tree_node_allocator;
Allocator<Value> value_allocator;
public:
typedef Key key_type;
typedef Value value_type;
typedef Allocator<Value>::pointer pointer;
typedef Allocator<Value>::reference reference;
typedef Allocator<Value>::const_reference const_reference;
typedef Allocator<rb_tree_node> rb_tree_node_allocator_type;
typedef Allocator<rb_tree_node>::pointer link_type;
typedef Allocator<rb_tree_node>::size_type size_type;
typedef Allocator<rb_tree_node>::difference_type difference_type;
protected:
static size_type buffer_size ()
{
//
// Each time we allocate memory for nodes we reserve space for
// a chunk of rb_tree_nodes. This is currently tuned to
// allocate memory in 1K chunks, except for very large nodes.
//
return sizeof(rb_tree_node) >= 1024 ? 1 : 1024 / sizeof(rb_tree_node);
}
struct rb_tree_node_buffer;
friend struct rb_tree_node_buffer;
struct rb_tree_node_buffer
{
void_pointer next_buffer;
link_type buffer;
};
public:
typedef Allocator<rb_tree_node_buffer> buffer_allocator_type;
typedef Allocator<rb_tree_node_buffer>::pointer buffer_pointer;
protected:
Allocator<rb_tree_node_buffer> buffer_allocator;
buffer_pointer buffer_list;
link_type free_list;
link_type next_avail;
link_type last;
void add_new_buffer ()
{
buffer_pointer tmp = buffer_allocator.allocate((size_type)1);
tmp->buffer = rb_tree_node_allocator.allocate(buffer_size());
tmp->next_buffer = buffer_list;
buffer_list = tmp;
next_avail = buffer_list->buffer;
last = next_avail + buffer_size();
}
void deallocate_buffers ();
link_type get_node ()
{
link_type tmp = free_list;
return free_list ?
(free_list = (link_type)(free_list->right_link), tmp)
: (next_avail == last ? (add_new_buffer(), next_avail++)
: next_avail++);
}
void put_node (link_type p) { p->right_link = free_list; free_list = p; }
protected:
link_type header;
link_type& root () { return parent(header); }
link_type& root () const { return parent(header); }
link_type& leftmost () { return left(header); }
link_type& leftmost () const { return left(header); }
link_type& rightmost () { return right(header); }
link_type& rightmost () const { return right(header); }
size_type node_count; // Keeps track of size of tree.
bool insert_always; // Controls whether an element already in the
// tree is inserted again.
Compare key_compare;
static link_type NIL;
static size_type number_of_trees;
static link_type& left (link_type x)
{
return (link_type&)((*x).left_link);
}
static link_type& right (link_type x)
{
return (link_type&)((*x).right_link);
}
static link_type& parent (link_type x)
{
return (link_type&)((*x).parent_link);
}
static reference value (link_type x) { return (*x).value_field; }
static Allocator<Key>::const_reference key (link_type x)
{
return KeyOfValue()(value(x));
}
static color_type& color (link_type x)
{
return (color_type&)(*x).color_field;
}
static link_type minimum (link_type x)
{
while (left(x) != NIL) x = left(x);
return x;
}
static link_type maximum (link_type x)
{
while (right(x) != NIL) x = right(x);
return x;
}
public:
class iterator;
friend class iterator;
class const_iterator;
friend class const_iterator;
class iterator : public bidirectional_iterator<Value, difference_type>
{
friend class rb_tree<Key, Value, KeyOfValue, Compare>;
friend class const_iterator;
protected:
link_type node;
iterator (link_type x) : node(x) {}
public:
iterator () {}
bool operator== (const iterator& y) const { return node == y.node; }
reference operator* () const { return value(node); }
iterator& operator++ ()
{
if (right(node) != NIL)
{
node = right(node);
while (left(node) != NIL) node = left(node);
}
else
{
link_type y = parent(node);
while (node == right(y))
{
node = y; y = parent(y);
}
if (right(node) != y) // Necessary because of rightmost.
node = y;
}
return *this;
}
iterator operator++ (int)
{
iterator tmp = *this; ++*this; return tmp;
}
iterator& operator-- ()
{
if (color(node) == RED && parent(parent(node)) == node)
//
// Check for header.
//
node = right(node); // Return rightmost.
else if (left(node) != NIL)
{
link_type y = left(node);
while (right(y) != NIL) y = right(y);
node = y;
}
else
{
link_type y = parent(node);
while (node == left(y))
{
node = y; y = parent(y);
}
node = y;
}
return *this;
}
iterator operator-- (int)
{
iterator tmp = *this; --*this; return tmp;
}
}; // End of definition of iterator.
class const_iterator
: public bidirectional_iterator<Value,difference_type>
{
friend class rb_tree<Key, Value, KeyOfValue, Compare>;
friend class iterator;
protected:
link_type node;
const_iterator (link_type x) : node(x) {}
public:
const_iterator () {}
const_iterator (const iterator& x) : node(x.node) {}
bool operator== (const const_iterator& y) const
{
return node == y.node;
}
bool operator!= (const const_iterator& y) const
{
return node != y.node;
}
const_reference operator* () const { return value(node); }
const_iterator& operator++ ()
{
if (right(node) != NIL)
{
node = right(node);
while (left(node) != NIL) node = left(node);
}
else
{
link_type y = parent(node);
while (node == right(y))
{
node = y; y = parent(y);
}
if (right(node) != y) // Necessary because of rightmost.
node = y;
}
return *this;
}
const_iterator operator++ (int)
{
const_iterator tmp = *this; ++*this; return tmp;
}
const_iterator& operator-- ()
{
if (color(node) == RED && parent(parent(node)) == node)
//
// Check for header.
//
node = right(node); // return rightmost
else if (left(node) != NIL)
{
link_type y = left(node);
while (right(y) != NIL) y = right(y);
node = y;
}
else
{
link_type y = parent(node);
while (node == left(y))
{
node = y; y = parent(y);
}
node = y;
}
return *this;
}
const_iterator operator-- (int)
{
const_iterator tmp = *this; --*this; return tmp;
}
}; // End of definition of const_iterator.
typedef reverse_bidirectional_iterator<iterator, value_type, reference,
difference_type>
reverse_iterator;
typedef reverse_bidirectional_iterator<const_iterator, value_type,
const_reference, difference_type>
const_reverse_iterator;
private:
iterator __insert (link_type x, link_type y, const value_type& v);
link_type __copy (link_type x, link_type p);
void __erase (link_type x);
void init ()
{
buffer_list = 0;
free_list = next_avail = last = 0;
{
#ifdef RWSTD_MULTI_THREAD
RWSTDGuard guard(__stl_tree_mutex);
#endif
++number_of_trees;
if (NIL == 0)
{
NIL = rb_tree_node_allocator.allocate((size_type)1);
color(NIL) = BLACK;
parent(NIL) = 0;
left(NIL) = 0;
right(NIL) = 0;
}
}
header = get_node();
color(header) = RED; // Used to distinguish header from root
// in iterator.operator++.
root() = NIL;
leftmost() = header;
rightmost() = header;
}
public:
rb_tree (const Compare& comp = Compare(), bool always = true)
: node_count(0), key_compare(comp), insert_always(always)
{
init();
}
#ifndef RWSTD_NO_MEMBER_TEMPLATES
template<class InputIterator>
rb_tree (InputIterator first, InputIterator last,
const Compare& comp = Compare(), bool always = true)
: node_count(0), key_compare(comp), insert_always(always)
{
init(); insert(first, last);
}
#else
rb_tree (const value_type* first, const value_type* last,
const Compare& comp = Compare(), bool always = true)
: node_count(0), key_compare(comp), insert_always(always)
{
init(); insert(first, last);
}
rb_tree (const_iterator first, const_iterator last,
const Compare& comp = Compare(), bool always = true)
: node_count(0), key_compare(comp), insert_always(always)
{
init(); insert(first, last);
}
#endif
rb_tree (const rb_tree<Key,Value,KeyOfValue,Compare>& x, bool always = true)
: node_count(x.node_count), key_compare(x.key_compare),
insert_always(always)
{
{
#ifdef RWSTD_MULTI_THREAD
RWSTDGuard guard(__stl_tree_mutex);
#endif
++number_of_trees;
}
buffer_list = 0;
free_list = next_avail = last = 0;
header = get_node();
color(header) = RED;
root() = __copy(x.root(), header);
if (root() == NIL)
{
leftmost() = header; rightmost() = header;
}
else
{
leftmost() = minimum(root()); rightmost() = maximum(root());
}
}
~rb_tree ()
{
erase(begin(), end());
put_node(header);
deallocate_buffers();
#ifdef RWSTD_MULTI_THREAD
RWSTDGuard guard(__stl_tree_mutex);
#endif
if (--number_of_trees == 0)
{
rb_tree_node_allocator.deallocate(NIL);
NIL = 0;
}
}
rb_tree<Key, Value, KeyOfValue, Compare>&
operator= (const rb_tree<Key, Value, KeyOfValue, Compare>& x);
Compare key_comp () const { return key_compare; }
iterator begin () { return leftmost(); }
const_iterator begin () const { return leftmost(); }
iterator end () { return header; }
const_iterator end () const { return header; }
reverse_iterator rbegin ()
{
reverse_iterator tmp(end()); return tmp;
}
const_reverse_iterator rbegin () const
{
const_reverse_iterator tmp(end()); return tmp;
}
reverse_iterator rend ()
{
reverse_iterator tmp(begin()); return tmp;
}
const_reverse_iterator rend () const
{
const_reverse_iterator tmp(begin()); return tmp;
}
bool empty () const { return node_count == 0; }
size_type size () const { return node_count; }
size_type max_size () const
{
return rb_tree_node_allocator.max_size();
}
void swap (rb_tree<Key, Value, KeyOfValue, Compare>& t)
{
#ifndef RWSTD_NO_NAMESPACE
std::swap(buffer_allocator, t.buffer_allocator);
std::swap(buffer_list, t.buffer_list);
std::swap(free_list, t.free_list);
std::swap(next_avail, t.next_avail);
std::swap(last, t.last);
std::swap(header, t.header);
std::swap(node_count, t.node_count);
std::swap(insert_always, t.insert_always);
std::swap(key_compare, t.key_compare);
std::swap(rb_tree_node_allocator, t.rb_tree_node_allocator);
std::swap(value_allocator, t.value_allocator);
#else
::swap(buffer_allocator, t.buffer_allocator);
::swap(buffer_list, t.buffer_list);
::swap(free_list, t.free_list);
::swap(next_avail, t.next_avail);
::swap(last, t.last);
::swap(header, t.header);
::swap(node_count, t.node_count);
::swap(insert_always, t.insert_always);
::swap(key_compare, t.key_compare);
::swap(rb_tree_node_allocator, t.rb_tree_node_allocator);
::swap(value_allocator, t.value_allocator);
#endif
}
typedef pair<iterator, bool> pair_iterator_bool;
//
// typedef done to get around compiler bug.
//
#ifndef RWSTD_NO_RET_TEMPLATE
pair<iterator,bool> insert (const value_type& x);
#else
pair_iterator_bool insert (const value_type& x);
#endif
iterator insert (iterator position, const value_type& x);
#ifndef RWSTD_NO_MEMBER_TEMPLATES
template<class Iterator>
void insert (Iterator first, Iterator last);
#else
void insert (const_iterator first, const_iterator last);
void insert (const value_type* first, const value_type* last);
#endif
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);
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;
typedef pair<iterator, iterator> pair_iterator_iterator;
//
// typedef done to get around compiler bug.
//
#ifndef RWSTD_NO_RET_TEMPLATE
pair<iterator,iterator> equal_range (const key_type& x);
#else
pair_iterator_iterator equal_range (const key_type& x);
#endif
typedef pair<const_iterator, const_iterator> pair_citerator_citerator;
#ifndef RWSTD_NO_RET_TEMPLATE
pair<const_iterator, const_iterator> equal_range (const key_type& x) const;
#else
pair_citerator_citerator equal_range (const key_type& x) const;
#endif
inline void rotate_left (link_type x);
inline void rotate_right (link_type x);
};
template <class Key, class Value, class KeyOfValue, class Compare>
rb_tree<Key, Value, KeyOfValue, Compare>::link_type
rb_tree<Key, Value, KeyOfValue, Compare>::NIL = 0;
template <class Key, class Value, class KeyOfValue, class Compare>
rb_tree<Key, Value, KeyOfValue, Compare>::size_type
rb_tree<Key, Value, KeyOfValue, Compare>::number_of_trees = 0;
template <class Key, class Value, class KeyOfValue, class Compare>
void rb_tree<Key, Value, KeyOfValue, Compare>::deallocate_buffers ()
{
while (buffer_list)
{
buffer_pointer tmp = buffer_list;
buffer_list = (buffer_pointer)(buffer_list->next_buffer);
rb_tree_node_allocator.deallocate(tmp->buffer);
buffer_allocator.deallocate(tmp);
}
}
template <class Key, class Value, class KeyOfValue, class Compare>
inline bool operator== (const rb_tree<Key, Value, KeyOfValue, Compare>& x,
const rb_tree<Key, Value, KeyOfValue, Compare>& y)
{
return x.size() == y.size() && equal(x.begin(), x.end(), y.begin());
}
template <class Key, class Value, class KeyOfValue, class Compare>
inline bool operator< (const rb_tree<Key, Value, KeyOfValue, Compare>& x,
const rb_tree<Key, Value, KeyOfValue, Compare>& y)
{
return lexicographical_compare(x.begin(), x.end(), y.begin(), y.end());
}
template <class Key, class Value, class KeyOfValue, class Compare>
rb_tree<Key, Value, KeyOfValue, Compare>&
rb_tree<Key, Value, KeyOfValue, Compare>::
operator= (const rb_tree<Key, Value, KeyOfValue, Compare>& x)
{
if (!(this == &x))
{
//
// Can't be done as in list because Key may be a constant type.
//
erase(begin(), end());
root() = __copy(x.root(), header);
if (root() == NIL)
{
leftmost() = header; rightmost() = header;
}
else
{
leftmost() = minimum(root()); rightmost() = maximum(root());
}
node_count = x.node_count;
}
return *this;
}
template <class Key, class Value, class KeyOfValue, class Compare>
rb_tree<Key, Value, KeyOfValue, Compare>::iterator
rb_tree<Key, Value, KeyOfValue, Compare>::
__insert (link_type x, link_type y, const Value& v)
{
++node_count;
link_type z = get_node();
construct(value_allocator.address(value(z)), v);
if (y == header || x != NIL || key_compare(KeyOfValue()(v), key(y)))
{
left(y) = z; // Also makes leftmost() = z when y == header.
if (y == header)
{
root() = z; rightmost() = z;
}
else if (y == leftmost())
leftmost() = z; // Maintain leftmost() pointing to minimum node.
}
else
{
right(y) = z;
if (y == rightmost())
rightmost() = z; // Maintain rightmost() pointing to maximum node.
}
parent(z) = y;
left(z) = NIL;
right(z) = NIL;
x = z; // Recolor and rebalance the tree.
color(x) = RED;
while (x != root() && color(parent(x)) == RED)
if (parent(x) == left(parent(parent(x))))
{
y = right(parent(parent(x)));
if (color(y) == RED)
{
color(parent(x)) = BLACK;
color(y) = BLACK;
color(parent(parent(x))) = RED;
x = parent(parent(x));
}
else
{
if (x == right(parent(x)))
{
x = parent(x); rotate_left(x);
}
color(parent(x)) = BLACK;
color(parent(parent(x))) = RED;
rotate_right(parent(parent(x)));
}
}
else
{
y = left(parent(parent(x)));
if (color(y) == RED)
{
color(parent(x)) = BLACK;
color(y) = BLACK;
color(parent(parent(x))) = RED;
x = parent(parent(x));
}
else
{
if (x == left(parent(x)))
{
x = parent(x); rotate_right(x);
}
color(parent(x)) = BLACK;
color(parent(parent(x))) = RED;
rotate_left(parent(parent(x)));
}
}
color(root()) = BLACK;
return iterator(z);
}
template <class Key, class Value, class KeyOfValue, class Compare>
rb_tree<Key, Value, KeyOfValue, Compare>::pair_iterator_bool
rb_tree<Key, Value, KeyOfValue, Compare>::insert (const Value& v)
{
link_type y = header;
link_type x = root();
bool comp = true;
while (x != NIL)
{
y = x;
comp = key_compare(KeyOfValue()(v), key(x));
x = comp ? left(x) : right(x);
}
if (insert_always)
{
pair_iterator_bool tmp(__insert(x, y, v), true); return tmp;
}
iterator j = iterator(y);
if (comp)
if (j == begin())
{
pair_iterator_bool tmp(__insert(x, y, v), true); return tmp;
}
else
--j;
if (key_compare(key(j.node), KeyOfValue()(v)))
{
pair_iterator_bool tmp(__insert(x, y, v), true); return tmp;
}
pair_iterator_bool tmp(j, false);
return tmp;
}
template <class Key, class Value, class KeyOfValue, class Compare>
rb_tree<Key, Value, KeyOfValue, Compare>::iterator
rb_tree<Key, Value, KeyOfValue, Compare>::insert (iterator position,
const Value& v)
{
if (position == iterator(begin()))
if (size() > 0 && key_compare(KeyOfValue()(v), key(position.node)))
return __insert(position.node, position.node, v);
//
// First argument just needs to be non-NIL.
//
else
return insert(v).first;
else if (position == iterator(end()))
if (key_compare(key(rightmost()), KeyOfValue()(v)))
return __insert(NIL, rightmost(), v);
else
return insert(v).first;
else
{
iterator before = --position;
if (key_compare(key(before.node), KeyOfValue()(v))
&& key_compare(KeyOfValue()(v), key(position.node)))
if (right(before.node) == NIL)
return __insert(NIL, before.node, v);
else
return __insert(position.node, position.node, v);
//
// First argument just needs to be non-NIL.
//
else
return insert(v).first;
}
}
#ifndef RWSTD_NO_MEMBER_TEMPLATES
template <class Key, class Value, class KeyOfValue, class Compare>
template<class Iterator>
void rb_tree<Key, Value, KeyOfValue, Compare>::insert (Iterator first,
Iterator last)
{
while (first != last) insert(*first++);
}
#else
template <class Key, class Value, class KeyOfValue, class Compare>
void rb_tree<Key, Value, KeyOfValue, Compare>::insert (const_iterator first,
const_iterator last)
{
while (first != last) insert(*first++);
}
template <class Key, class Value, class KeyOfValue, class Compare>
void rb_tree<Key, Value, KeyOfValue, Compare>::insert (const Value* first,
const Value* last)
{
while (first != last) insert(*first++);
}
#endif
template <class Key, class Value, class KeyOfValue, class Compare>
void rb_tree<Key, Value, KeyOfValue, Compare>::erase (iterator position)
{
link_type z;
__initialize(z, link_type(position.node));
link_type y = z;
link_type x;
if (left(y) == NIL)
x = right(y);
else
if (right(y) == NIL)
x = left(y);
else
{
y = right(y);
while (left(y) != NIL) y = left(y);
x = right(y);
}
if (y != z)
{
//
// Relink y in place of z.
//
parent(left(z)) = y;
left(y) = left(z);
if (y != right(z))
{
parent(x) = parent(y); // Possibly x == NIL.
left(parent(y)) = x; // Y must be a left child.
right(y) = right(z);
parent(right(z)) = y;
}
else
parent(x) = y; // Needed in case x == NIL.
if (root() == z)
root() = y;
else if (left(parent(z)) == z)
left(parent(z)) = y;
else
right(parent(z)) = y;
parent(y) = parent(z);
#ifndef RWSTD_NO_NAMESPACE
std::swap(color(y), color(z));
#else
::swap(color(y), color(z));
#endif
y = z; // y points to node to be actually deleted.
}
else
{
//
// y == z
//
parent(x) = parent(y); // Possibly x == NIL.
if (root() == z)
root() = x;
else
if (left(parent(z)) == z)
left(parent(z)) = x;
else
right(parent(z)) = x;
if (leftmost() == z)
if (right(z) == NIL) // left(z) must be NIL also.
leftmost() = parent(z);
//
// makes leftmost() == header if z == root()
//
else
leftmost() = minimum(x);
if (rightmost() == z)
if (left(z) == NIL) // right(z) must be NIL also.
rightmost() = parent(z);
//
// makes rightmost() == header if z == root().
//
else
//
// x == left(z)
//
rightmost() = maximum(x);
}
if (color(y) != RED)
{
while (x != root() && color(x) == BLACK)
if (x == left(parent(x)))
{
link_type w = right(parent(x));
if (color(w) == RED)
{
color(w) = BLACK;
color(parent(x)) = RED;
rotate_left(parent(x));
w = right(parent(x));
}
if (color(left(w)) == BLACK && color(right(w)) == BLACK)
{
color(w) = RED;
x = parent(x);
}
else
{
if (color(right(w)) == BLACK)
{
color(left(w)) = BLACK;
color(w) = RED;
rotate_right(w);
w = right(parent(x));
}
color(w) = color(parent(x));
color(parent(x)) = BLACK;
color(right(w)) = BLACK;
rotate_left(parent(x));
break;
}
}
else
{
//
// Same as then clause with "right" and "left" exchanged.
//
link_type w = left(parent(x));
if (color(w) == RED)
{
color(w) = BLACK;
color(parent(x)) = RED;
rotate_right(parent(x));
w = left(parent(x));
}
if (color(right(w)) == BLACK && color(left(w)) == BLACK)
{
color(w) = RED; x = parent(x);
}
else
{
if (color(left(w)) == BLACK)
{
color(right(w)) = BLACK;
color(w) = RED;
rotate_left(w);
w = left(parent(x));
}
color(w) = color(parent(x));
color(parent(x)) = BLACK;
color(left(w)) = BLACK;
rotate_right(parent(x));
break;
}
}
color(x) = BLACK;
}
destroy(value_allocator.address(value(y)));
put_node(y);
--node_count;
}
template <class Key, class Value, class KeyOfValue, class Compare>
rb_tree<Key, Value, KeyOfValue, Compare>::size_type
rb_tree<Key, Value, KeyOfValue, Compare>::erase (const Key& x)
{
pair_iterator_iterator p = equal_range(x);
size_type n;
__initialize(n, size_type(0));
distance(p.first, p.second, n);
erase(p.first, p.second);
return n;
}
template <class Key, class Value, class KeyOfValue, class Compare>
rb_tree<Key, Value, KeyOfValue, Compare>::link_type
rb_tree<Key, Value, KeyOfValue, Compare>::__copy (link_type x, link_type p)
{
//
// Structural copy.
//
link_type r = x;
while (x != NIL)
{
link_type y = get_node();
if (r == x) r = y; // Save for return value.
construct(value_allocator.address(value(y)), value(x));
left(p) = y;
parent(y) = p;
color(y) = color(x);
right(y) = __copy(right(x), y);
p = y;
x = left(x);
}
left(p) = NIL;
return r;
}
template <class Key, class Value, class KeyOfValue, class Compare>
void rb_tree<Key, Value, KeyOfValue, Compare>::__erase (link_type x)
{
//
// Erase without rebalancing.
//
while (x != NIL)
{
__erase(right(x));
link_type y = left(x);
destroy(value_allocator.address(value(x)));
put_node(x);
x = y;
}
}
template <class Key, class Value, class KeyOfValue, class Compare>
void rb_tree<Key, Value, KeyOfValue, Compare>::erase (iterator first,
iterator locallast)
{
if (first == begin() && locallast == end() && node_count != 0)
{
__erase(root());
leftmost() = header;
root() = NIL;
rightmost() = header;
node_count = 0;
} else
while (first != locallast) erase(first++);
}
template <class Key, class Value, class KeyOfValue, class Compare>
void rb_tree<Key, Value, KeyOfValue, Compare>::erase (const Key* first,
const Key* last)
{
while (first != last) erase(*first++);
}
template <class Key, class Value, class KeyOfValue, class Compare>
rb_tree<Key, Value, KeyOfValue, Compare>::iterator
rb_tree<Key, Value, KeyOfValue, Compare>::find (const Key& k)
{
link_type y = header; // Last node that is not less than k.
link_type x = root(); // Current node.
while (x != NIL)
{
if (!key_compare(key(x), k))
y = x, x = left(x);
else
x = right(x);
}
iterator j = iterator(y);
return (j == end() || key_compare(k, key(j.node))) ? end() : j;
}
template <class Key, class Value, class KeyOfValue, class Compare>
rb_tree<Key, Value, KeyOfValue, Compare>::const_iterator
rb_tree<Key, Value, KeyOfValue, Compare>::find (const Key& k) const
{
link_type y = header; // Last node that is not less than k.
link_type x = root(); // Current node.
while (x != NIL)
{
if (!key_compare(key(x), k))
y = x, x = left(x);
else
x = right(x);
}
const_iterator j = const_iterator(y);
return (j == end() || key_compare(k, key(j.node))) ? end() : j;
}
template <class Key, class Value, class KeyOfValue, class Compare>
rb_tree<Key, Value, KeyOfValue, Compare>::size_type
rb_tree<Key, Value, KeyOfValue, Compare>::count (const Key& k) const
{
pair<const_iterator, const_iterator> p = equal_range(k);
size_type n;
__initialize(n, size_type(0));
distance(p.first, p.second, n);
return n;
}
template <class Key, class Value, class KeyOfValue, class Compare>
rb_tree<Key, Value, KeyOfValue, Compare>::iterator
rb_tree<Key, Value, KeyOfValue, Compare>::lower_bound (const Key& k)
{
link_type y = header; // Last node that is not less than k.
link_type x = root(); // Current node.
while (x != NIL)
{
if (!key_compare(key(x), k))
y = x, x = left(x);
else
x = right(x);
}
return iterator(y);
}
template <class Key, class Value, class KeyOfValue, class Compare>
rb_tree<Key, Value, KeyOfValue, Compare>::const_iterator
rb_tree<Key, Value, KeyOfValue, Compare>::lower_bound (const Key& k) const
{
link_type y = header; // Last node that is not less than k.
link_type x = root(); // Current node.
while (x != NIL)
{
if (!key_compare(key(x), k))
y = x, x = left(x);
else
x = right(x);
}
return const_iterator(y);
}
template <class Key, class Value, class KeyOfValue, class Compare>
rb_tree<Key, Value, KeyOfValue, Compare>::iterator
rb_tree<Key, Value, KeyOfValue, Compare>::upper_bound (const Key& k)
{
link_type y = header; // Last node that is greater than k.
link_type x = root(); // Current node.
while (x != NIL)
{
if (key_compare(k, key(x)))
y = x, x = left(x);
else
x = right(x);
}
return iterator(y);
}
template <class Key, class Value, class KeyOfValue, class Compare>
rb_tree<Key, Value, KeyOfValue, Compare>::const_iterator
rb_tree<Key, Value, KeyOfValue, Compare>::upper_bound (const Key& k) const
{
link_type y = header; // Last node that is greater than k.
link_type x = root(); // Current node.
while (x != NIL)
{
if (key_compare(k, key(x)))
y = x, x = left(x);
else
x = right(x);
}
return const_iterator(y);
}
template <class Key, class Value, class KeyOfValue, class Compare>
rb_tree<Key, Value, KeyOfValue, Compare>::pair_iterator_iterator
rb_tree<Key, Value, KeyOfValue, Compare>::equal_range (const Key& k)
{
pair_iterator_iterator tmp(lower_bound(k), upper_bound(k));
return tmp;
}
template <class Key, class Value, class KeyOfValue, class Compare>
rb_tree<Key, Value, KeyOfValue, Compare>::pair_citerator_citerator
rb_tree<Key, Value, KeyOfValue, Compare>::equal_range (const Key& k) const
{
pair_citerator_citerator tmp(lower_bound(k), upper_bound(k));
return tmp;
}
template <class Key, class Value, class KeyOfValue, class Compare>
inline void
rb_tree<Key, Value, KeyOfValue, Compare>::rotate_left (link_type x)
{
link_type y = right(x);
right(x) = left(y);
if (left(y) != NIL)
parent(left(y)) = x;
parent(y) = parent(x);
if (x == root())
root() = y;
else if (x == left(parent(x)))
left(parent(x)) = y;
else
right(parent(x)) = y;
left(y) = x;
parent(x) = y;
}
template <class Key, class Value, class KeyOfValue, class Compare>
inline void
rb_tree<Key, Value, KeyOfValue, Compare>::rotate_right (link_type x)
{
link_type y = left(x);
left(x) = right(y);
if (right(y) != NIL)
parent(right(y)) = x;
parent(y) = parent(x);
if (x == root())
root() = y;
else if (x == right(parent(x)))
right(parent(x)) = y;
else
left(parent(x)) = y;
right(y) = x;
parent(x) = y;
}
#ifndef RWSTD_NO_NAMESPACE
}
#endif
#endif