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Unified Diff: Source/WTF/wtf/AVLTree.h

Issue 14238015: Move Source/WTF/wtf to Source/wtf (Closed) Base URL: svn://svn.chromium.org/blink/trunk
Patch Set: Created 7 years, 8 months ago
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Index: Source/WTF/wtf/AVLTree.h
diff --git a/Source/WTF/wtf/AVLTree.h b/Source/WTF/wtf/AVLTree.h
deleted file mode 100644
index 61f627e8b2ac777d5b4542fb80b1c3d90cc30238..0000000000000000000000000000000000000000
--- a/Source/WTF/wtf/AVLTree.h
+++ /dev/null
@@ -1,960 +0,0 @@
-/*
- * Copyright (C) 2008 Apple Inc. All rights reserved.
- *
- * Based on Abstract AVL Tree Template v1.5 by Walt Karas
- * <http://geocities.com/wkaras/gen_cpp/avl_tree.html>.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in the
- * documentation and/or other materials provided with the distribution.
- * 3. Neither the name of Apple Computer, Inc. ("Apple") nor the names of
- * its contributors may be used to endorse or promote products derived
- * from this software without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY APPLE AND ITS CONTRIBUTORS "AS IS" AND ANY
- * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
- * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
- * DISCLAIMED. IN NO EVENT SHALL APPLE OR ITS CONTRIBUTORS BE LIABLE FOR ANY
- * DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
- * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
- * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
- * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
- * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
- * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-#ifndef AVL_TREE_H_
-#define AVL_TREE_H_
-
-#include <wtf/Assertions.h>
-#include <wtf/FixedArray.h>
-
-namespace WTF {
-
-// Here is the reference class for BSet.
-//
-// class BSet
-// {
-// public:
-//
-// class ANY_bitref
-// {
-// public:
-// operator bool ();
-// void operator = (bool b);
-// };
-//
-// // Does not have to initialize bits.
-// BSet();
-//
-// // Must return a valid value for index when 0 <= index < maxDepth
-// ANY_bitref operator [] (unsigned index);
-//
-// // Set all bits to 1.
-// void set();
-//
-// // Set all bits to 0.
-// void reset();
-// };
-
-template<unsigned maxDepth>
-class AVLTreeDefaultBSet {
-public:
- bool& operator[](unsigned i) { ASSERT_WITH_SECURITY_IMPLICATION(i < maxDepth); return m_data[i]; }
- void set() { for (unsigned i = 0; i < maxDepth; ++i) m_data[i] = true; }
- void reset() { for (unsigned i = 0; i < maxDepth; ++i) m_data[i] = false; }
-
-private:
- FixedArray<bool, maxDepth> m_data;
-};
-
-// How to determine maxDepth:
-// d Minimum number of nodes
-// 2 2
-// 3 4
-// 4 7
-// 5 12
-// 6 20
-// 7 33
-// 8 54
-// 9 88
-// 10 143
-// 11 232
-// 12 376
-// 13 609
-// 14 986
-// 15 1,596
-// 16 2,583
-// 17 4,180
-// 18 6,764
-// 19 10,945
-// 20 17,710
-// 21 28,656
-// 22 46,367
-// 23 75,024
-// 24 121,392
-// 25 196,417
-// 26 317,810
-// 27 514,228
-// 28 832,039
-// 29 1,346,268
-// 30 2,178,308
-// 31 3,524,577
-// 32 5,702,886
-// 33 9,227,464
-// 34 14,930,351
-// 35 24,157,816
-// 36 39,088,168
-// 37 63,245,985
-// 38 102,334,154
-// 39 165,580,140
-// 40 267,914,295
-// 41 433,494,436
-// 42 701,408,732
-// 43 1,134,903,169
-// 44 1,836,311,902
-// 45 2,971,215,072
-//
-// E.g., if, in a particular instantiation, the maximum number of nodes in a tree instance is 1,000,000, the maximum depth should be 28.
-// You pick 28 because MN(28) is 832,039, which is less than or equal to 1,000,000, and MN(29) is 1,346,268, which is strictly greater than 1,000,000.
-
-template <class Abstractor, unsigned maxDepth = 32, class BSet = AVLTreeDefaultBSet<maxDepth> >
-class AVLTree {
-public:
-
- typedef typename Abstractor::key key;
- typedef typename Abstractor::handle handle;
- typedef typename Abstractor::size size;
-
- enum SearchType {
- EQUAL = 1,
- LESS = 2,
- GREATER = 4,
- LESS_EQUAL = EQUAL | LESS,
- GREATER_EQUAL = EQUAL | GREATER
- };
-
-
- Abstractor& abstractor() { return abs; }
-
- inline handle insert(handle h);
-
- inline handle search(key k, SearchType st = EQUAL);
- inline handle search_least();
- inline handle search_greatest();
-
- inline handle remove(key k);
-
- inline handle subst(handle new_node);
-
- void purge() { abs.root = null(); }
-
- bool is_empty() { return abs.root == null(); }
-
- AVLTree() { abs.root = null(); }
-
- class Iterator {
- public:
-
- // Initialize depth to invalid value, to indicate iterator is
- // invalid. (Depth is zero-base.)
- Iterator() { depth = ~0U; }
-
- void start_iter(AVLTree &tree, key k, SearchType st = EQUAL)
- {
- // Mask of high bit in an int.
- const int MASK_HIGH_BIT = (int) ~ ((~ (unsigned) 0) >> 1);
-
- // Save the tree that we're going to iterate through in a
- // member variable.
- tree_ = &tree;
-
- int cmp, target_cmp;
- handle h = tree_->abs.root;
- unsigned d = 0;
-
- depth = ~0U;
-
- if (h == null())
- // Tree is empty.
- return;
-
- if (st & LESS)
- // Key can be greater than key of starting node.
- target_cmp = 1;
- else if (st & GREATER)
- // Key can be less than key of starting node.
- target_cmp = -1;
- else
- // Key must be same as key of starting node.
- target_cmp = 0;
-
- for (;;) {
- cmp = cmp_k_n(k, h);
- if (cmp == 0) {
- if (st & EQUAL) {
- // Equal node was sought and found as starting node.
- depth = d;
- break;
- }
- cmp = -target_cmp;
- } else if (target_cmp != 0) {
- if (!((cmp ^ target_cmp) & MASK_HIGH_BIT)) {
- // cmp and target_cmp are both negative or both positive.
- depth = d;
- }
- }
- h = cmp < 0 ? get_lt(h) : get_gt(h);
- if (h == null())
- break;
- branch[d] = cmp > 0;
- path_h[d++] = h;
- }
- }
-
- void start_iter_least(AVLTree &tree)
- {
- tree_ = &tree;
-
- handle h = tree_->abs.root;
-
- depth = ~0U;
-
- branch.reset();
-
- while (h != null()) {
- if (depth != ~0U)
- path_h[depth] = h;
- depth++;
- h = get_lt(h);
- }
- }
-
- void start_iter_greatest(AVLTree &tree)
- {
- tree_ = &tree;
-
- handle h = tree_->abs.root;
-
- depth = ~0U;
-
- branch.set();
-
- while (h != null()) {
- if (depth != ~0U)
- path_h[depth] = h;
- depth++;
- h = get_gt(h);
- }
- }
-
- handle operator*()
- {
- if (depth == ~0U)
- return null();
-
- return depth == 0 ? tree_->abs.root : path_h[depth - 1];
- }
-
- void operator++()
- {
- if (depth != ~0U) {
- handle h = get_gt(**this);
- if (h == null()) {
- do {
- if (depth == 0) {
- depth = ~0U;
- break;
- }
- depth--;
- } while (branch[depth]);
- } else {
- branch[depth] = true;
- path_h[depth++] = h;
- for (;;) {
- h = get_lt(h);
- if (h == null())
- break;
- branch[depth] = false;
- path_h[depth++] = h;
- }
- }
- }
- }
-
- void operator--()
- {
- if (depth != ~0U) {
- handle h = get_lt(**this);
- if (h == null())
- do {
- if (depth == 0) {
- depth = ~0U;
- break;
- }
- depth--;
- } while (!branch[depth]);
- else {
- branch[depth] = false;
- path_h[depth++] = h;
- for (;;) {
- h = get_gt(h);
- if (h == null())
- break;
- branch[depth] = true;
- path_h[depth++] = h;
- }
- }
- }
- }
-
- void operator++(int) { ++(*this); }
- void operator--(int) { --(*this); }
-
- protected:
-
- // Tree being iterated over.
- AVLTree *tree_;
-
- // Records a path into the tree. If branch[n] is true, indicates
- // take greater branch from the nth node in the path, otherwise
- // take the less branch. branch[0] gives branch from root, and
- // so on.
- BSet branch;
-
- // Zero-based depth of path into tree.
- unsigned depth;
-
- // Handles of nodes in path from root to current node (returned by *).
- handle path_h[maxDepth - 1];
-
- int cmp_k_n(key k, handle h) { return tree_->abs.compare_key_node(k, h); }
- int cmp_n_n(handle h1, handle h2) { return tree_->abs.compare_node_node(h1, h2); }
- handle get_lt(handle h) { return tree_->abs.get_less(h); }
- handle get_gt(handle h) { return tree_->abs.get_greater(h); }
- handle null() { return tree_->abs.null(); }
- };
-
- template<typename fwd_iter>
- bool build(fwd_iter p, size num_nodes)
- {
- if (num_nodes == 0) {
- abs.root = null();
- return true;
- }
-
- // Gives path to subtree being built. If branch[N] is false, branch
- // less from the node at depth N, if true branch greater.
- BSet branch;
-
- // If rem[N] is true, then for the current subtree at depth N, it's
- // greater subtree has one more node than it's less subtree.
- BSet rem;
-
- // Depth of root node of current subtree.
- unsigned depth = 0;
-
- // Number of nodes in current subtree.
- size num_sub = num_nodes;
-
- // The algorithm relies on a stack of nodes whose less subtree has
- // been built, but whose right subtree has not yet been built. The
- // stack is implemented as linked list. The nodes are linked
- // together by having the "greater" handle of a node set to the
- // next node in the list. "less_parent" is the handle of the first
- // node in the list.
- handle less_parent = null();
-
- // h is root of current subtree, child is one of its children.
- handle h, child;
-
- for (;;) {
- while (num_sub > 2) {
- // Subtract one for root of subtree.
- num_sub--;
- rem[depth] = !!(num_sub & 1);
- branch[depth++] = false;
- num_sub >>= 1;
- }
-
- if (num_sub == 2) {
- // Build a subtree with two nodes, slanting to greater.
- // I arbitrarily chose to always have the extra node in the
- // greater subtree when there is an odd number of nodes to
- // split between the two subtrees.
-
- h = *p;
- p++;
- child = *p;
- p++;
- set_lt(child, null());
- set_gt(child, null());
- set_bf(child, 0);
- set_gt(h, child);
- set_lt(h, null());
- set_bf(h, 1);
- } else { // num_sub == 1
- // Build a subtree with one node.
-
- h = *p;
- p++;
- set_lt(h, null());
- set_gt(h, null());
- set_bf(h, 0);
- }
-
- while (depth) {
- depth--;
- if (!branch[depth])
- // We've completed a less subtree.
- break;
-
- // We've completed a greater subtree, so attach it to
- // its parent (that is less than it). We pop the parent
- // off the stack of less parents.
- child = h;
- h = less_parent;
- less_parent = get_gt(h);
- set_gt(h, child);
- // num_sub = 2 * (num_sub - rem[depth]) + rem[depth] + 1
- num_sub <<= 1;
- num_sub += 1 - rem[depth];
- if (num_sub & (num_sub - 1))
- // num_sub is not a power of 2
- set_bf(h, 0);
- else
- // num_sub is a power of 2
- set_bf(h, 1);
- }
-
- if (num_sub == num_nodes)
- // We've completed the full tree.
- break;
-
- // The subtree we've completed is the less subtree of the
- // next node in the sequence.
-
- child = h;
- h = *p;
- p++;
- set_lt(h, child);
-
- // Put h into stack of less parents.
- set_gt(h, less_parent);
- less_parent = h;
-
- // Proceed to creating greater than subtree of h.
- branch[depth] = true;
- num_sub += rem[depth++];
-
- } // end for (;;)
-
- abs.root = h;
-
- return true;
- }
-
-protected:
-
- friend class Iterator;
-
- // Create a class whose sole purpose is to take advantage of
- // the "empty member" optimization.
- struct abs_plus_root : public Abstractor {
- // The handle of the root element in the AVL tree.
- handle root;
- };
-
- abs_plus_root abs;
-
-
- handle get_lt(handle h) { return abs.get_less(h); }
- void set_lt(handle h, handle lh) { abs.set_less(h, lh); }
-
- handle get_gt(handle h) { return abs.get_greater(h); }
- void set_gt(handle h, handle gh) { abs.set_greater(h, gh); }
-
- int get_bf(handle h) { return abs.get_balance_factor(h); }
- void set_bf(handle h, int bf) { abs.set_balance_factor(h, bf); }
-
- int cmp_k_n(key k, handle h) { return abs.compare_key_node(k, h); }
- int cmp_n_n(handle h1, handle h2) { return abs.compare_node_node(h1, h2); }
-
- handle null() { return abs.null(); }
-
-private:
-
- // Balances subtree, returns handle of root node of subtree
- // after balancing.
- handle balance(handle bal_h)
- {
- handle deep_h;
-
- // Either the "greater than" or the "less than" subtree of
- // this node has to be 2 levels deeper (or else it wouldn't
- // need balancing).
-
- if (get_bf(bal_h) > 0) {
- // "Greater than" subtree is deeper.
-
- deep_h = get_gt(bal_h);
-
- if (get_bf(deep_h) < 0) {
- handle old_h = bal_h;
- bal_h = get_lt(deep_h);
-
- set_gt(old_h, get_lt(bal_h));
- set_lt(deep_h, get_gt(bal_h));
- set_lt(bal_h, old_h);
- set_gt(bal_h, deep_h);
-
- int bf = get_bf(bal_h);
- if (bf != 0) {
- if (bf > 0) {
- set_bf(old_h, -1);
- set_bf(deep_h, 0);
- } else {
- set_bf(deep_h, 1);
- set_bf(old_h, 0);
- }
- set_bf(bal_h, 0);
- } else {
- set_bf(old_h, 0);
- set_bf(deep_h, 0);
- }
- } else {
- set_gt(bal_h, get_lt(deep_h));
- set_lt(deep_h, bal_h);
- if (get_bf(deep_h) == 0) {
- set_bf(deep_h, -1);
- set_bf(bal_h, 1);
- } else {
- set_bf(deep_h, 0);
- set_bf(bal_h, 0);
- }
- bal_h = deep_h;
- }
- } else {
- // "Less than" subtree is deeper.
-
- deep_h = get_lt(bal_h);
-
- if (get_bf(deep_h) > 0) {
- handle old_h = bal_h;
- bal_h = get_gt(deep_h);
- set_lt(old_h, get_gt(bal_h));
- set_gt(deep_h, get_lt(bal_h));
- set_gt(bal_h, old_h);
- set_lt(bal_h, deep_h);
-
- int bf = get_bf(bal_h);
- if (bf != 0) {
- if (bf < 0) {
- set_bf(old_h, 1);
- set_bf(deep_h, 0);
- } else {
- set_bf(deep_h, -1);
- set_bf(old_h, 0);
- }
- set_bf(bal_h, 0);
- } else {
- set_bf(old_h, 0);
- set_bf(deep_h, 0);
- }
- } else {
- set_lt(bal_h, get_gt(deep_h));
- set_gt(deep_h, bal_h);
- if (get_bf(deep_h) == 0) {
- set_bf(deep_h, 1);
- set_bf(bal_h, -1);
- } else {
- set_bf(deep_h, 0);
- set_bf(bal_h, 0);
- }
- bal_h = deep_h;
- }
- }
-
- return bal_h;
- }
-
-};
-
-template <class Abstractor, unsigned maxDepth, class BSet>
-inline typename AVLTree<Abstractor, maxDepth, BSet>::handle
-AVLTree<Abstractor, maxDepth, BSet>::insert(handle h)
-{
- set_lt(h, null());
- set_gt(h, null());
- set_bf(h, 0);
-
- if (abs.root == null())
- abs.root = h;
- else {
- // Last unbalanced node encountered in search for insertion point.
- handle unbal = null();
- // Parent of last unbalanced node.
- handle parent_unbal = null();
- // Balance factor of last unbalanced node.
- int unbal_bf;
-
- // Zero-based depth in tree.
- unsigned depth = 0, unbal_depth = 0;
-
- // Records a path into the tree. If branch[n] is true, indicates
- // take greater branch from the nth node in the path, otherwise
- // take the less branch. branch[0] gives branch from root, and
- // so on.
- BSet branch;
-
- handle hh = abs.root;
- handle parent = null();
- int cmp;
-
- do {
- if (get_bf(hh) != 0) {
- unbal = hh;
- parent_unbal = parent;
- unbal_depth = depth;
- }
- cmp = cmp_n_n(h, hh);
- if (cmp == 0)
- // Duplicate key.
- return hh;
- parent = hh;
- hh = cmp < 0 ? get_lt(hh) : get_gt(hh);
- branch[depth++] = cmp > 0;
- } while (hh != null());
-
- // Add node to insert as leaf of tree.
- if (cmp < 0)
- set_lt(parent, h);
- else
- set_gt(parent, h);
-
- depth = unbal_depth;
-
- if (unbal == null())
- hh = abs.root;
- else {
- cmp = branch[depth++] ? 1 : -1;
- unbal_bf = get_bf(unbal);
- if (cmp < 0)
- unbal_bf--;
- else // cmp > 0
- unbal_bf++;
- hh = cmp < 0 ? get_lt(unbal) : get_gt(unbal);
- if ((unbal_bf != -2) && (unbal_bf != 2)) {
- // No rebalancing of tree is necessary.
- set_bf(unbal, unbal_bf);
- unbal = null();
- }
- }
-
- if (hh != null())
- while (h != hh) {
- cmp = branch[depth++] ? 1 : -1;
- if (cmp < 0) {
- set_bf(hh, -1);
- hh = get_lt(hh);
- } else { // cmp > 0
- set_bf(hh, 1);
- hh = get_gt(hh);
- }
- }
-
- if (unbal != null()) {
- unbal = balance(unbal);
- if (parent_unbal == null())
- abs.root = unbal;
- else {
- depth = unbal_depth - 1;
- cmp = branch[depth] ? 1 : -1;
- if (cmp < 0)
- set_lt(parent_unbal, unbal);
- else // cmp > 0
- set_gt(parent_unbal, unbal);
- }
- }
- }
-
- return h;
-}
-
-template <class Abstractor, unsigned maxDepth, class BSet>
-inline typename AVLTree<Abstractor, maxDepth, BSet>::handle
-AVLTree<Abstractor, maxDepth, BSet>::search(key k, typename AVLTree<Abstractor, maxDepth, BSet>::SearchType st)
-{
- const int MASK_HIGH_BIT = (int) ~ ((~ (unsigned) 0) >> 1);
-
- int cmp, target_cmp;
- handle match_h = null();
- handle h = abs.root;
-
- if (st & LESS)
- target_cmp = 1;
- else if (st & GREATER)
- target_cmp = -1;
- else
- target_cmp = 0;
-
- while (h != null()) {
- cmp = cmp_k_n(k, h);
- if (cmp == 0) {
- if (st & EQUAL) {
- match_h = h;
- break;
- }
- cmp = -target_cmp;
- } else if (target_cmp != 0)
- if (!((cmp ^ target_cmp) & MASK_HIGH_BIT))
- // cmp and target_cmp are both positive or both negative.
- match_h = h;
- h = cmp < 0 ? get_lt(h) : get_gt(h);
- }
-
- return match_h;
-}
-
-template <class Abstractor, unsigned maxDepth, class BSet>
-inline typename AVLTree<Abstractor, maxDepth, BSet>::handle
-AVLTree<Abstractor, maxDepth, BSet>::search_least()
-{
- handle h = abs.root, parent = null();
-
- while (h != null()) {
- parent = h;
- h = get_lt(h);
- }
-
- return parent;
-}
-
-template <class Abstractor, unsigned maxDepth, class BSet>
-inline typename AVLTree<Abstractor, maxDepth, BSet>::handle
-AVLTree<Abstractor, maxDepth, BSet>::search_greatest()
-{
- handle h = abs.root, parent = null();
-
- while (h != null()) {
- parent = h;
- h = get_gt(h);
- }
-
- return parent;
-}
-
-template <class Abstractor, unsigned maxDepth, class BSet>
-inline typename AVLTree<Abstractor, maxDepth, BSet>::handle
-AVLTree<Abstractor, maxDepth, BSet>::remove(key k)
-{
- // Zero-based depth in tree.
- unsigned depth = 0, rm_depth;
-
- // Records a path into the tree. If branch[n] is true, indicates
- // take greater branch from the nth node in the path, otherwise
- // take the less branch. branch[0] gives branch from root, and
- // so on.
- BSet branch;
-
- handle h = abs.root;
- handle parent = null(), child;
- int cmp, cmp_shortened_sub_with_path = 0;
-
- for (;;) {
- if (h == null())
- // No node in tree with given key.
- return null();
- cmp = cmp_k_n(k, h);
- if (cmp == 0)
- // Found node to remove.
- break;
- parent = h;
- h = cmp < 0 ? get_lt(h) : get_gt(h);
- branch[depth++] = cmp > 0;
- cmp_shortened_sub_with_path = cmp;
- }
- handle rm = h;
- handle parent_rm = parent;
- rm_depth = depth;
-
- // If the node to remove is not a leaf node, we need to get a
- // leaf node, or a node with a single leaf as its child, to put
- // in the place of the node to remove. We will get the greatest
- // node in the less subtree (of the node to remove), or the least
- // node in the greater subtree. We take the leaf node from the
- // deeper subtree, if there is one.
-
- if (get_bf(h) < 0) {
- child = get_lt(h);
- branch[depth] = false;
- cmp = -1;
- } else {
- child = get_gt(h);
- branch[depth] = true;
- cmp = 1;
- }
- depth++;
-
- if (child != null()) {
- cmp = -cmp;
- do {
- parent = h;
- h = child;
- if (cmp < 0) {
- child = get_lt(h);
- branch[depth] = false;
- } else {
- child = get_gt(h);
- branch[depth] = true;
- }
- depth++;
- } while (child != null());
-
- if (parent == rm)
- // Only went through do loop once. Deleted node will be replaced
- // in the tree structure by one of its immediate children.
- cmp_shortened_sub_with_path = -cmp;
- else
- cmp_shortened_sub_with_path = cmp;
-
- // Get the handle of the opposite child, which may not be null.
- child = cmp > 0 ? get_lt(h) : get_gt(h);
- }
-
- if (parent == null())
- // There were only 1 or 2 nodes in this tree.
- abs.root = child;
- else if (cmp_shortened_sub_with_path < 0)
- set_lt(parent, child);
- else
- set_gt(parent, child);
-
- // "path" is the parent of the subtree being eliminated or reduced
- // from a depth of 2 to 1. If "path" is the node to be removed, we
- // set path to the node we're about to poke into the position of the
- // node to be removed.
- handle path = parent == rm ? h : parent;
-
- if (h != rm) {
- // Poke in the replacement for the node to be removed.
- set_lt(h, get_lt(rm));
- set_gt(h, get_gt(rm));
- set_bf(h, get_bf(rm));
- if (parent_rm == null())
- abs.root = h;
- else {
- depth = rm_depth - 1;
- if (branch[depth])
- set_gt(parent_rm, h);
- else
- set_lt(parent_rm, h);
- }
- }
-
- if (path != null()) {
- // Create a temporary linked list from the parent of the path node
- // to the root node.
- h = abs.root;
- parent = null();
- depth = 0;
- while (h != path) {
- if (branch[depth++]) {
- child = get_gt(h);
- set_gt(h, parent);
- } else {
- child = get_lt(h);
- set_lt(h, parent);
- }
- parent = h;
- h = child;
- }
-
- // Climb from the path node to the root node using the linked
- // list, restoring the tree structure and rebalancing as necessary.
- bool reduced_depth = true;
- int bf;
- cmp = cmp_shortened_sub_with_path;
- for (;;) {
- if (reduced_depth) {
- bf = get_bf(h);
- if (cmp < 0)
- bf++;
- else // cmp > 0
- bf--;
- if ((bf == -2) || (bf == 2)) {
- h = balance(h);
- bf = get_bf(h);
- } else
- set_bf(h, bf);
- reduced_depth = (bf == 0);
- }
- if (parent == null())
- break;
- child = h;
- h = parent;
- cmp = branch[--depth] ? 1 : -1;
- if (cmp < 0) {
- parent = get_lt(h);
- set_lt(h, child);
- } else {
- parent = get_gt(h);
- set_gt(h, child);
- }
- }
- abs.root = h;
- }
-
- return rm;
-}
-
-template <class Abstractor, unsigned maxDepth, class BSet>
-inline typename AVLTree<Abstractor, maxDepth, BSet>::handle
-AVLTree<Abstractor, maxDepth, BSet>::subst(handle new_node)
-{
- handle h = abs.root;
- handle parent = null();
- int cmp, last_cmp;
-
- /* Search for node already in tree with same key. */
- for (;;) {
- if (h == null())
- /* No node in tree with same key as new node. */
- return null();
- cmp = cmp_n_n(new_node, h);
- if (cmp == 0)
- /* Found the node to substitute new one for. */
- break;
- last_cmp = cmp;
- parent = h;
- h = cmp < 0 ? get_lt(h) : get_gt(h);
- }
-
- /* Copy tree housekeeping fields from node in tree to new node. */
- set_lt(new_node, get_lt(h));
- set_gt(new_node, get_gt(h));
- set_bf(new_node, get_bf(h));
-
- if (parent == null())
- /* New node is also new root. */
- abs.root = new_node;
- else {
- /* Make parent point to new node. */
- if (last_cmp < 0)
- set_lt(parent, new_node);
- else
- set_gt(parent, new_node);
- }
-
- return h;
-}
-
-}
-
-#endif
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