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+/*
+ *
+ * Copyright (c) 1996
+ * 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.
+ *
+ *
+ */
+
+#ifndef __SGI_STL_TREE_H
+#define __SGI_STL_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 <stddef.h>
+#include <algobase.h>
+#include <iterator.h>
+#include <alloc.h>
+
+
+typedef bool __rb_tree_color_type;
+const __rb_tree_color_type __rb_tree_red = false;
+const __rb_tree_color_type __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 color;
+ base_ptr parent;
+ base_ptr left;
+ base_ptr right;
+
+ static base_ptr minimum(base_ptr x)
+ {
+ while (x->left != 0) x = x->left;
+ return x;
+ }
+
+ static base_ptr maximum(base_ptr x)
+ {
+ while (x->right != 0) x = x->right;
+ return x;
+ }
+};
+
+template <class Value>
+struct __rb_tree_node : public __rb_tree_node_base
+{
+ typedef __rb_tree_node<Value>* link_type;
+ Value 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 node;
+
+ void increment()
+ {
+ if (node->right != 0) {
+ node = node->right;
+ while (node->left != 0)
+ node = node->left;
+ }
+ else {
+ base_ptr y = node->parent;
+ while (node == y->right) {
+ node = y;
+ y = y->parent;
+ }
+ if (node->right != y)
+ node = y;
+ }
+ }
+
+ void decrement()
+ {
+ if (node->color == __rb_tree_red &&
+ node->parent->parent == node)
+ node = node->right;
+ else if (node->left != 0) {
+ base_ptr y = node->left;
+ while (y->right != 0)
+ y = y->right;
+ node = y;
+ }
+ else {
+ base_ptr y = node->parent;
+ while (node == y->left) {
+ node = y;
+ y = y->parent;
+ }
+ node = y;
+ }
+ }
+};
+
+template <class Value, class Ref>
+struct __rb_tree_iterator : public __rb_tree_base_iterator
+{
+ typedef Value value_type;
+ typedef Value& reference;
+ typedef const Value& const_reference;
+ typedef Value* pointer;
+ typedef __rb_tree_iterator<Value, reference> iterator;
+ typedef __rb_tree_iterator<Value, const_reference> const_iterator;
+ typedef __rb_tree_iterator<Value, Ref> self;
+ typedef __rb_tree_node<Value>* link_type;
+
+ __rb_tree_iterator() {}
+ __rb_tree_iterator(link_type x) { node = x; }
+ __rb_tree_iterator(const iterator& it) { node = it.node; }
+
+ Ref operator*() const { return link_type(node)->value_field; }
+
+ self& operator++() { increment(); return *this; }
+ self operator++(int) {
+ self tmp = *this;
+ increment();
+ return tmp;
+ }
+
+ self& operator--() { decrement(); return *this; }
+ self operator--(int) {
+ self tmp = *this;
+ decrement();
+ return tmp;
+ }
+};
+
+inline bool operator==(const __rb_tree_base_iterator& x,
+ const __rb_tree_base_iterator& y) {
+ return x.node == y.node;
+}
+
+inline bool operator!=(const __rb_tree_base_iterator& x,
+ const __rb_tree_base_iterator& y) {
+ return x.node != y.node;
+}
+
+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 <class Value, class Ref>
+inline Value* value_type(const __rb_tree_iterator<Value, Ref>&) {
+ return (Value*) 0;
+}
+
+inline void
+__rb_tree_rotate_left(__rb_tree_node_base* x, __rb_tree_node_base*& root)
+{
+ __rb_tree_node_base* y = x->right;
+ x->right = y->left;
+ if (y->left !=0)
+ y->left->parent = x;
+ y->parent = x->parent;
+
+ if (x == root)
+ root = y;
+ else if (x == x->parent->left)
+ x->parent->left = y;
+ else
+ x->parent->right = y;
+ y->left = x;
+ x->parent = y;
+}
+
+inline void
+__rb_tree_rotate_right(__rb_tree_node_base* x, __rb_tree_node_base*& root)
+{
+ __rb_tree_node_base* y = x->left;
+ x->left = y->right;
+ if (y->right != 0)
+ y->right->parent = x;
+ y->parent = x->parent;
+
+ if (x == root)
+ root = y;
+ else if (x == x->parent->right)
+ x->parent->right = y;
+ else
+ x->parent->left = y;
+ y->right = x;
+ x->parent = y;
+}
+
+inline void
+__rb_tree_rebalance(__rb_tree_node_base* x, __rb_tree_node_base*& root)
+{
+ x->color = __rb_tree_red;
+ while (x != root && x->parent->color == __rb_tree_red) {
+ if (x->parent == x->parent->parent->left) {
+ __rb_tree_node_base* y = x->parent->parent->right;
+ if (y && y->color == __rb_tree_red) {
+ x->parent->color = __rb_tree_black;
+ y->color = __rb_tree_black;
+ x->parent->parent->color = __rb_tree_red;
+ x = x->parent->parent;
+ }
+ else {
+ if (x == x->parent->right) {
+ x = x->parent;
+ __rb_tree_rotate_left(x, root);
+ }
+ x->parent->color = __rb_tree_black;
+ x->parent->parent->color = __rb_tree_red;
+ __rb_tree_rotate_right(x->parent->parent, root);
+ }
+ }
+ else {
+ __rb_tree_node_base* y = x->parent->parent->left;
+ if (y && y->color == __rb_tree_red) {
+ x->parent->color = __rb_tree_black;
+ y->color = __rb_tree_black;
+ x->parent->parent->color = __rb_tree_red;
+ x = x->parent->parent;
+ }
+ else {
+ if (x == x->parent->left) {
+ x = x->parent;
+ __rb_tree_rotate_right(x, root);
+ }
+ x->parent->color = __rb_tree_black;
+ x->parent->parent->color = __rb_tree_red;
+ __rb_tree_rotate_left(x->parent->parent, root);
+ }
+ }
+ }
+ root->color = __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->left == 0) // z has at most one non-null child. y == z.
+ x = y->right; // x might be null.
+ else
+ if (y->right == 0) // z has exactly one non-null child. y == z.
+ x = y->left; // x is not null.
+ else { // z has two non-null children. Set y to
+ y = y->right; // z's successor. x might be null.
+ while (y->left != 0)
+ y = y->left;
+ x = y->right;
+ }
+ if (y != z) { // relink y in place of z. y is z's successor
+ z->left->parent = y;
+ y->left = z->left;
+ if (y != z->right) {
+ x_parent = y->parent;
+ if (x) x->parent = y->parent;
+ y->parent->left = x; // y must be a left child
+ y->right = z->right;
+ z->right->parent = y;
+ }
+ else
+ x_parent = y;
+ if (root == z)
+ root = y;
+ else if (z->parent->left == z)
+ z->parent->left = y;
+ else
+ z->parent->right = y;
+ y->parent = z->parent;
+ ::swap(y->color, z->color);
+ y = z;
+ // y now points to node to be actually deleted
+ }
+ else { // y == z
+ x_parent = y->parent;
+ if (x) x->parent = y->parent;
+ if (root == z)
+ root = x;
+ else
+ if (z->parent->left == z)
+ z->parent->left = x;
+ else
+ z->parent->right = x;
+ if (leftmost == z)
+ if (z->right == 0) // z->left must be null also
+ leftmost = z->parent;
+ // makes leftmost == header if z == root
+ else
+ leftmost = __rb_tree_node_base::minimum(x);
+ if (rightmost == z)
+ if (z->left == 0) // z->right must be null also
+ rightmost = z->parent;
+ // makes rightmost == header if z == root
+ else // x == z->left
+ rightmost = __rb_tree_node_base::maximum(x);
+ }
+ if (y->color != __rb_tree_red) {
+ while (x != root && (x == 0 || x->color == __rb_tree_black))
+ if (x == x_parent->left) {
+ __rb_tree_node_base* w = x_parent->right;
+ if (w->color == __rb_tree_red) {
+ w->color = __rb_tree_black;
+ x_parent->color = __rb_tree_red;
+ __rb_tree_rotate_left(x_parent, root);
+ w = x_parent->right;
+ }
+ if ((w->left == 0 || w->left->color == __rb_tree_black) &&
+ (w->right == 0 || w->right->color == __rb_tree_black)) {
+ w->color = __rb_tree_red;
+ x = x_parent;
+ x_parent = x_parent->parent;
+ } else {
+ if (w->right == 0 || w->right->color == __rb_tree_black) {
+ if (w->left) w->left->color = __rb_tree_black;
+ w->color = __rb_tree_red;
+ __rb_tree_rotate_right(w, root);
+ w = x_parent->right;
+ }
+ w->color = x_parent->color;
+ x_parent->color = __rb_tree_black;
+ if (w->right) w->right->color = __rb_tree_black;
+ __rb_tree_rotate_left(x_parent, root);
+ break;
+ }
+ } else { // same as above, with right <-> left.
+ __rb_tree_node_base* w = x_parent->left;
+ if (w->color == __rb_tree_red) {
+ w->color = __rb_tree_black;
+ x_parent->color = __rb_tree_red;
+ __rb_tree_rotate_right(x_parent, root);
+ w = x_parent->left;
+ }
+ if ((w->right == 0 || w->right->color == __rb_tree_black) &&
+ (w->left == 0 || w->left->color == __rb_tree_black)) {
+ w->color = __rb_tree_red;
+ x = x_parent;
+ x_parent = x_parent->parent;
+ } else {
+ if (w->left == 0 || w->left->color == __rb_tree_black) {
+ if (w->right) w->right->color = __rb_tree_black;
+ w->color = __rb_tree_red;
+ __rb_tree_rotate_left(w, root);
+ w = x_parent->left;
+ }
+ w->color = x_parent->color;
+ x_parent->color = __rb_tree_black;
+ if (w->left) w->left->color = __rb_tree_black;
+ __rb_tree_rotate_right(x_parent, root);
+ break;
+ }
+ }
+ if (x) x->color = __rb_tree_black;
+ }
+ return y;
+}
+
+template <class Key, class Value, class KeyOfValue, class Compare,
+ class Alloc = alloc>
+class rb_tree {
+protected:
+ typedef void* void_pointer;
+ typedef __rb_tree_node_base* base_ptr;
+ typedef __rb_tree_node<Value> rb_tree_node;
+ typedef simple_alloc<rb_tree_node, Alloc> rb_tree_node_allocator;
+ 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;
+protected:
+ link_type get_node() { return rb_tree_node_allocator::allocate(); }
+ void put_node(link_type p) { rb_tree_node_allocator::deallocate(p); }
+
+ link_type create_node(const value_type& x) {
+ link_type tmp = get_node();
+# ifdef __STL_USE_EXCEPTIONS
+ try {
+# endif /* __STL_USE_EXCEPTIONS */
+ construct(&tmp->value_field, x);
+ return tmp;
+# ifdef __STL_USE_EXCEPTIONS
+ }
+ catch(...) {
+ put_node(tmp);
+ throw;
+ }
+# endif /* __STL_USE_EXCEPTIONS */
+ }
+
+ link_type clone_node(link_type x) {
+ link_type tmp = create_node(x->value_field);
+ tmp->color = x->color;
+ tmp->left = 0;
+ tmp->right = 0;
+ return tmp;
+ }
+
+ void destroy_node(link_type p) {
+ destroy(&p->value_field);
+ put_node(p);
+ }
+
+protected:
+ size_type node_count; // keeps track of size of tree
+ link_type header;
+ Compare key_compare;
+
+ link_type& root() const { return (link_type&) header->parent; }
+ link_type& leftmost() const { return (link_type&) header->left; }
+ link_type& rightmost() const { return (link_type&) header->right; }
+
+ static link_type& left(link_type x) { return (link_type&)(x->left); }
+ static link_type& right(link_type x) { return (link_type&)(x->right); }
+ static link_type& parent(link_type x) { return (link_type&)(x->parent); }
+ static reference value(link_type x) { return x->value_field; }
+ static const Key& key(link_type x) { return KeyOfValue()(value(x)); }
+ static color_type& color(link_type x) { return (color_type&)(x->color); }
+
+ static link_type& left(base_ptr x) { return (link_type&)(x->left); }
+ static link_type& right(base_ptr x) { return (link_type&)(x->right); }
+ static link_type& parent(base_ptr x) { return (link_type&)(x->parent); }
+ static reference value(base_ptr x) { return ((link_type)x)->value_field; }
+ static const Key& key(base_ptr x) { return KeyOfValue()(value(link_type(x)));}
+ static color_type& color(base_ptr x) { return (color_type&)(link_type(x)->color); }
+
+ static link_type minimum(link_type x) {
+ return (link_type) __rb_tree_node_base::minimum(x);
+ }
+ static link_type maximum(link_type x) {
+ return (link_type) __rb_tree_node_base::maximum(x);
+ }
+
+public:
+ typedef __rb_tree_iterator<value_type, reference> iterator;
+ typedef __rb_tree_iterator<value_type, const_reference> 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(base_ptr x, base_ptr y, const value_type& v);
+ link_type __copy(link_type x, link_type p);
+ void __erase(link_type x);
+ void init() {
+ header = get_node();
+ color(header) = __rb_tree_red; // used to distinguish header from
+ // root, in iterator.operator++
+ root() = 0;
+ leftmost() = header;
+ rightmost() = header;
+ }
+public:
+ // allocation/deallocation
+ rb_tree(const Compare& comp = Compare())
+ : key_compare(comp), node_count(0) { init(); }
+
+ rb_tree(const rb_tree<Key, Value, KeyOfValue, Compare, Alloc>& x)
+ : key_compare(x.key_compare), node_count(0) {
+ header = get_node();
+ color(header) = __rb_tree_red;
+ if (x.root() == 0) {
+ root() = 0;
+ leftmost() = header;
+ rightmost() = header;
+ }
+ else {
+# ifdef __STL_USE_EXCEPTIONS
+ try {
+# endif /* __STL_USE_EXCEPTIONS */
+ root() = __copy(x.root(), header);
+# ifdef __STL_USE_EXCEPTIONS
+ }
+ catch(...) {
+ put_node(header);
+ throw;
+ }
+# endif /* __STL_USE_EXCEPTIONS */
+ leftmost() = minimum(root());
+ rightmost() = maximum(root());
+ }
+ node_count = x.node_count;
+ }
+ ~rb_tree() {
+ clear();
+ put_node(header);
+ }
+ rb_tree<Key, Value, KeyOfValue, Compare, Alloc>&
+ operator=(const rb_tree<Key, Value, KeyOfValue, Compare, Alloc>& x);
+
+public:
+ // accessors:
+ 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() { 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 node_count == 0; }
+ size_type size() const { return node_count; }
+ size_type max_size() const { return size_type(-1); }
+
+ void swap(rb_tree<Key, Value, KeyOfValue, Compare, Alloc>& t) {
+ ::swap(header, t.header);
+ ::swap(node_count, t.node_count);
+ ::swap(key_compare, t.key_compare);
+ }
+
+public:
+ // 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);
+
+#ifdef __STL_MEMBER_TEMPLATES
+ template <class InputIterator>
+ void insert_unique(InputIterator first, InputIterator last);
+ template <class InputIterator>
+ 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 (node_count != 0) {
+ __erase(root());
+ leftmost() = header;
+ root() = 0;
+ rightmost() = header;
+ 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<iterator,iterator> equal_range(const key_type& x);
+ pair<const_iterator, const_iterator> equal_range(const key_type& x) const;
+
+public:
+ // Debugging.
+ bool __rb_verify() const;
+};
+
+template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
+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 <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
+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());
+}
+
+template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
+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();
+ node_count = 0;
+ key_compare = x.key_compare;
+ if (x.root() == 0) {
+ root() = 0;
+ leftmost() = header;
+ rightmost() = header;
+ }
+ else {
+ root() = __copy(x.root(), header);
+ leftmost() = minimum(root());
+ rightmost() = maximum(root());
+ node_count = x.node_count;
+ }
+ }
+ return *this;
+}
+
+template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::iterator
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::
+__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 == header || x != 0 || key_compare(KeyOfValue()(v), key(y))) {
+ z = create_node(v);
+ 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 min node
+ }
+ else {
+ z = create_node(v);
+ right(y) = z;
+ if (y == rightmost())
+ rightmost() = z; // maintain rightmost() pointing to max node
+ }
+ parent(z) = y;
+ left(z) = 0;
+ right(z) = 0;
+ __rb_tree_rebalance(z, header->parent);
+ ++node_count;
+ return iterator(z);
+}
+
+template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::iterator
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::insert_equal(const Value& v)
+{
+ link_type y = header;
+ link_type x = root();
+ while (x != 0) {
+ y = x;
+ x = key_compare(KeyOfValue()(v), key(x)) ? left(x) : right(x);
+ }
+ return __insert(x, y, v);
+}
+
+
+template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
+pair<rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::iterator, bool>
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::insert_unique(const Value& v)
+{
+ link_type y = header;
+ link_type x = root();
+ bool comp = true;
+ while (x != 0) {
+ y = x;
+ comp = key_compare(KeyOfValue()(v), key(x));
+ x = comp ? left(x) : right(x);
+ }
+ iterator j = iterator(y);
+ if (comp)
+ if (j == begin())
+ return pair<iterator,bool>(__insert(x, y, v), true);
+ else
+ --j;
+ if (key_compare(key(j.node), KeyOfValue()(v)))
+ return pair<iterator,bool>(__insert(x, y, v), true);
+ return pair<iterator,bool>(j, false);
+}
+
+
+template <class Key, class Val, class KeyOfValue, class Compare, class Alloc>
+rb_tree<Key, Val, KeyOfValue, Compare, Alloc>::iterator
+rb_tree<Key, Val, KeyOfValue, Compare, Alloc>::insert_unique(iterator position,
+ const Val& v) {
+ if (position.node == header->left) // 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-null
+ else
+ return insert_unique(v).first;
+ else if (position.node == header) // end()
+ if (key_compare(key(rightmost()), KeyOfValue()(v)))
+ return __insert(0, rightmost(), v);
+ else
+ return insert_unique(v).first;
+ else {
+ iterator before = position;
+ --before;
+ if (key_compare(key(before.node), KeyOfValue()(v))
+ && key_compare(KeyOfValue()(v), key(position.node)))
+ if (right(before.node) == 0)
+ return __insert(0, before.node, v);
+ else
+ return __insert(position.node, position.node, v);
+ // first argument just needs to be non-null
+ else
+ return insert_unique(v).first;
+ }
+}
+
+template <class Key, class Val, class KeyOfValue, class Compare, class Alloc>
+rb_tree<Key, Val, KeyOfValue, Compare, Alloc>::iterator
+rb_tree<Key, Val, KeyOfValue, Compare, Alloc>::insert_equal(iterator position,
+ const Val& v) {
+ if (position.node == header->left) // 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-null
+ else
+ return insert_equal(v);
+ else if (position.node == header) // end()
+ if (!key_compare(KeyOfValue()(v), key(rightmost())))
+ return __insert(0, rightmost(), v);
+ else
+ return insert_equal(v);
+ else {
+ iterator before = position;
+ --before;
+ if (!key_compare(KeyOfValue()(v), key(before.node))
+ && !key_compare(key(position.node), KeyOfValue()(v)))
+ if (right(before.node) == 0)
+ return __insert(0, before.node, v);
+ else
+ return __insert(position.node, position.node, v);
+ // first argument just needs to be non-null
+ else
+ return insert_equal(v);
+ }
+}
+
+#ifdef __STL_MEMBER_TEMPLATES
+
+template <class K, class V, class KoV, class Cmp, class Al> template<class II>
+void rb_tree<K, V, KoV, Cmp, Al>::insert_equal(II first, II last) {
+ for ( ; first != last; ++first)
+ insert_equal(*first);
+}
+
+template <class K, class V, class KoV, class Cmp, class Al> template<class II>
+void rb_tree<K, V, KoV, Cmp, Al>::insert_unique(II first, II last) {
+ for ( ; first != last; ++first)
+ insert_unique(*first);
+}
+
+#else /* __STL_MEMBER_TEMPLATES */
+
+template <class K, class V, class KoV, class Cmp, class Al>
+void
+rb_tree<K, V, KoV, Cmp, Al>::insert_equal(const V* first, const V* last) {
+ for ( ; first != last; ++first)
+ insert_equal(*first);
+}
+
+template <class K, class V, class KoV, class Cmp, class Al>
+void
+rb_tree<K, V, KoV, Cmp, Al>::insert_equal(const_iterator first,
+ const_iterator last) {
+ for ( ; first != last; ++first)
+ insert_equal(*first);
+}
+
+template <class K, class V, class KoV, class Cmp, class A>
+void
+rb_tree<K, V, KoV, Cmp, A>::insert_unique(const V* first, const V* last) {
+ for ( ; first != last; ++first)
+ insert_unique(*first);
+}
+
+template <class K, class V, class KoV, class Cmp, class A>
+void
+rb_tree<K, V, KoV, Cmp, A>::insert_unique(const_iterator first,
+ const_iterator last) {
+ for ( ; first != last; ++first)
+ insert_unique(*first);
+}
+
+#endif /* __STL_MEMBER_TEMPLATES */
+
+template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
+inline void
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::erase(iterator position) {
+ link_type y = (link_type) __rb_tree_rebalance_for_erase(position.node,
+ header->parent,
+ header->left,
+ header->right);
+ destroy_node(y);
+ --node_count;
+}
+
+template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::size_type
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::erase(const Key& x) {
+ pair<iterator,iterator> p = equal_range(x);
+ size_type n = 0;
+ distance(p.first, p.second, n);
+ erase(p.first, p.second);
+ return n;
+}
+
+template <class K, class V, class KeyOfValue, class Compare, class Alloc>
+rb_tree<K, V, KeyOfValue, Compare, Alloc>::link_type
+rb_tree<K, V, KeyOfValue, Compare, Alloc>::__copy(link_type x, link_type p) {
+ // structural copy. x and p must be non-null.
+ link_type top = clone_node(x);
+ top->parent = p;
+
+# ifdef __STL_USE_EXCEPTIONS
+ try {
+# endif /* __STL_USE_EXCEPTIONS */
+ if (x->right)
+ top->right = __copy(right(x), top);
+ p = top;
+ x = left(x);
+
+ while (x != 0) {
+ link_type y = clone_node(x);
+ p->left = y;
+ y->parent = p;
+ if (x->right)
+ y->right = __copy(right(x), y);
+ p = y;
+ x = left(x);
+ }
+# ifdef __STL_USE_EXCEPTIONS
+ }
+ catch(...) {
+ __erase(top);
+ throw;
+ }
+# endif /* __STL_USE_EXCEPTIONS */
+
+ return top;
+}
+
+template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
+void rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::__erase(link_type x) {
+ // erase without rebalancing
+ while (x != 0) {
+ __erase(right(x));
+ link_type y = left(x);
+ destroy_node(x);
+ x = y;
+ }
+}
+
+template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
+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 <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
+void rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::erase(const Key* first,
+ const Key* last) {
+ while (first != last) erase(*first++);
+}
+
+template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::iterator
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::find(const Key& k) {
+ link_type y = header; // Last node which is not less than k.
+ link_type x = root(); // Current node.
+
+ while (x != 0)
+ 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, class Alloc>
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::const_iterator
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::find(const Key& k) const {
+ link_type y = header; /* Last node which is not less than k. */
+ link_type x = root(); /* Current node. */
+
+ while (x != 0) {
+ 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, class Alloc>
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::size_type
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::count(const Key& k) const {
+ pair<const_iterator, const_iterator> p = equal_range(k);
+ size_type n = 0;
+ distance(p.first, p.second, n);
+ return n;
+}
+
+template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::iterator
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::lower_bound(const Key& k) {
+ link_type y = header; /* Last node which is not less than k. */
+ link_type x = root(); /* Current node. */
+
+ while (x != 0)
+ 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, class Alloc>
+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 = header; /* Last node which is not less than k. */
+ link_type x = root(); /* Current node. */
+
+ while (x != 0)
+ 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, class Alloc>
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::iterator
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::upper_bound(const Key& k) {
+ link_type y = header; /* Last node which is greater than k. */
+ link_type x = root(); /* Current node. */
+
+ while (x != 0)
+ 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, class Alloc>
+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 = header; /* Last node which is greater than k. */
+ link_type x = root(); /* Current node. */
+
+ while (x != 0)
+ 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, class Alloc>
+inline pair<rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::iterator,
+ rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::iterator>
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::equal_range(const Key& k) {
+ return pair<iterator, iterator>(lower_bound(k), upper_bound(k));
+}
+
+template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
+inline pair<rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::const_iterator,
+ rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::const_iterator>
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::equal_range(const Key& k) const {
+ return pair<const_iterator,const_iterator>(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->color == __rb_tree_black ? 1 : 0;
+ if (node == root)
+ return bc;
+ else
+ return bc + __black_count(node->parent, root);
+ }
+}
+
+template <class Key, class Value, class KeyOfValue, class Compare, class Alloc>
+bool
+rb_tree<Key, Value, KeyOfValue, Compare, Alloc>::__rb_verify() const
+{
+ if (node_count == 0 || begin() == end())
+ return node_count == 0 && begin() == end() &&
+ header->left == header && header->right == header;
+
+ int len = __black_count(leftmost(), root());
+ for (const_iterator it = begin(); it != end(); ++it) {
+ link_type x = (link_type) it.node;
+ link_type L = left(x);
+ link_type R = right(x);
+
+ if (x->color == __rb_tree_red)
+ if ((L && L->color == __rb_tree_red) ||
+ (R && R->color == __rb_tree_red))
+ return false;
+
+ if (L && key_compare(key(x), key(L)))
+ return false;
+ if (R && key_compare(key(R), key(x)))
+ return false;
+
+ if (!L && !R && __black_count(x, root()) != len)
+ return false;
+ }
+
+ if (leftmost() != __rb_tree_node_base::minimum(root()))
+ return false;
+ if (rightmost() != __rb_tree_node_base::maximum(root()))
+ return false;
+
+ return true;
+}
+
+#endif /* __SGI_STL_TREE_H */