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 |