810 lines
25 KiB
C
Executable File
810 lines
25 KiB
C
Executable File
/* Sequential list data type implemented by a binary tree.
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Copyright (C) 2006-2007, 2009-2024 Free Software Foundation, Inc.
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Written by Bruno Haible <bruno@clisp.org>, 2006.
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This file is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as
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published by the Free Software Foundation; either version 2.1 of the
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License, or (at your option) any later version.
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This file is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see <https://www.gnu.org/licenses/>. */
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/* Common code of gl_avltree_list.c and gl_avltreehash_list.c. */
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/* -------------------------- gl_list_t Data Type -------------------------- */
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/* Creates a subtree for count >= 1 elements.
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Its height is h where 2^(h-1) <= count <= 2^h - 1.
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Returns NULL upon out-of-memory. */
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static gl_list_node_t
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create_subtree_with_contents (size_t count, const void **contents)
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{
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size_t half1 = (count - 1) / 2;
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size_t half2 = count / 2;
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/* Note: half1 + half2 = count - 1. */
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gl_list_node_t node =
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(struct gl_list_node_impl *) malloc (sizeof (struct gl_list_node_impl));
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if (node == NULL)
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return NULL;
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if (half1 > 0)
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{
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node->left = create_subtree_with_contents (half1, contents);
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if (node->left == NULL)
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goto fail1;
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node->left->parent = node;
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}
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else
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node->left = NULL;
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node->value = contents[half1];
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if (half2 > 0)
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{
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node->right = create_subtree_with_contents (half2, contents + half1 + 1);
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if (node->right == NULL)
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goto fail2;
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node->right->parent = node;
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}
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else
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node->right = NULL;
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/* balance is 0, except when count is a power of two and > 1.
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Reason: half1 <= half2 <= half1 + 1, and the two branches can have
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different heights only if half1 = 2^h - 1 and half2 = 2^h; in this
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case, count = half1 + half2 + 1 = 2^(h+1). */
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node->balance = (count > 1 && (count & (count - 1)) == 0 ? 1 : 0);
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node->branch_size = count;
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return node;
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fail2:
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if (node->left != NULL)
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free_subtree (node->left);
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fail1:
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free (node);
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return NULL;
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}
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static gl_list_t
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gl_tree_nx_create (gl_list_implementation_t implementation,
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gl_listelement_equals_fn equals_fn,
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gl_listelement_hashcode_fn hashcode_fn,
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gl_listelement_dispose_fn dispose_fn,
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bool allow_duplicates,
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size_t count, const void **contents)
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{
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struct gl_list_impl *list =
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(struct gl_list_impl *) malloc (sizeof (struct gl_list_impl));
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if (list == NULL)
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return NULL;
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list->base.vtable = implementation;
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list->base.equals_fn = equals_fn;
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list->base.hashcode_fn = hashcode_fn;
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list->base.dispose_fn = dispose_fn;
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list->base.allow_duplicates = allow_duplicates;
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#if WITH_HASHTABLE
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{
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size_t estimate = xsum (count, count / 2); /* 1.5 * count */
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if (estimate < 10)
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estimate = 10;
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list->table_size = next_prime (estimate);
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if (size_overflow_p (xtimes (list->table_size, sizeof (gl_hash_entry_t))))
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goto fail1;
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list->table =
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(gl_hash_entry_t *) calloc (list->table_size, sizeof (gl_hash_entry_t));
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if (list->table == NULL)
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goto fail1;
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}
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#endif
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if (count > 0)
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{
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list->root = create_subtree_with_contents (count, contents);
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if (list->root == NULL)
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goto fail2;
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list->root->parent = NULL;
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#if WITH_HASHTABLE
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/* Now that the tree is built, node_position() works. Now we can
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add the nodes to the hash table. */
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if (add_nodes_to_buckets (list) < 0)
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goto fail3;
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#endif
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}
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else
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list->root = NULL;
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return list;
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#if WITH_HASHTABLE
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fail3:
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free_subtree (list->root);
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#endif
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fail2:
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#if WITH_HASHTABLE
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free (list->table);
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fail1:
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#endif
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free (list);
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return NULL;
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}
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/* Ensures the tree is balanced, after an insertion or deletion operation.
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The height of NODE is incremented by HEIGHT_DIFF (1 or -1).
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PARENT = NODE->parent. (NODE can also be NULL. But PARENT is non-NULL.)
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Rotation operations are performed starting at PARENT (not NODE itself!). */
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static void
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rebalance (gl_list_t list,
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gl_list_node_t node, int height_diff, gl_list_node_t parent)
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{
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for (;;)
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{
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gl_list_node_t child;
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int previous_balance;
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int balance_diff;
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gl_list_node_t nodeleft;
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gl_list_node_t noderight;
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child = node;
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node = parent;
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previous_balance = node->balance;
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/* The balance of NODE is incremented by BALANCE_DIFF: +1 if the right
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branch's height has increased by 1 or the left branch's height has
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decreased by 1, -1 if the right branch's height has decreased by 1 or
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the left branch's height has increased by 1, 0 if no height change. */
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if (node->left != NULL || node->right != NULL)
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balance_diff = (child == node->right ? height_diff : -height_diff);
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else
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/* Special case where above formula doesn't work, because the caller
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didn't tell whether node's left or right branch shrunk from height 1
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to NULL. */
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balance_diff = - previous_balance;
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node->balance += balance_diff;
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if (balance_diff == previous_balance)
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{
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/* node->balance is outside the range [-1,1]. Must rotate. */
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gl_list_node_t *nodep;
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if (node->parent == NULL)
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/* node == list->root */
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nodep = &list->root;
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else if (node->parent->left == node)
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nodep = &node->parent->left;
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else if (node->parent->right == node)
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nodep = &node->parent->right;
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else
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abort ();
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nodeleft = node->left;
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noderight = node->right;
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if (balance_diff < 0)
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{
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/* node->balance = -2. The subtree is heavier on the left side.
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Rotate from left to right:
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*
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/ \
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h+2 h
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*/
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gl_list_node_t nodeleftleft = nodeleft->left;
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gl_list_node_t nodeleftright = nodeleft->right;
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if (nodeleft->balance <= 0)
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{
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/*
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* h+2|h+3
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/ \ / \
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h+2 h --> / h+1|h+2
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/ \ | / \
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h+1 h|h+1 h+1 h|h+1 h
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*/
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node->left = nodeleftright;
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nodeleft->right = node;
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nodeleft->parent = node->parent;
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node->parent = nodeleft;
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if (nodeleftright != NULL)
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nodeleftright->parent = node;
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nodeleft->balance += 1;
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node->balance = - nodeleft->balance;
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node->branch_size =
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(nodeleftright != NULL ? nodeleftright->branch_size : 0)
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+ 1 + (noderight != NULL ? noderight->branch_size : 0);
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nodeleft->branch_size =
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nodeleftleft->branch_size + 1 + node->branch_size;
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*nodep = nodeleft;
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height_diff = (height_diff < 0
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? /* noderight's height had been decremented from
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h+1 to h. The subtree's height changes from
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h+3 to h+2|h+3. */
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nodeleft->balance - 1
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: /* nodeleft's height had been incremented from
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h+1 to h+2. The subtree's height changes from
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h+2 to h+2|h+3. */
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nodeleft->balance);
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}
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else
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{
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/*
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* h+2
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/ \ / \
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h+2 h --> h+1 h+1
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/ \ / \ / \
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h h+1 h L R h
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/ \
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L R
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*/
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gl_list_node_t L = nodeleft->right = nodeleftright->left;
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gl_list_node_t R = node->left = nodeleftright->right;
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nodeleftright->left = nodeleft;
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nodeleftright->right = node;
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nodeleftright->parent = node->parent;
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if (L != NULL)
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L->parent = nodeleft;
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if (R != NULL)
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R->parent = node;
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nodeleft->parent = nodeleftright;
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node->parent = nodeleftright;
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nodeleft->balance = (nodeleftright->balance > 0 ? -1 : 0);
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node->balance = (nodeleftright->balance < 0 ? 1 : 0);
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nodeleftright->balance = 0;
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nodeleft->branch_size =
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(nodeleft->left != NULL ? nodeleft->left->branch_size : 0)
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+ 1 + (nodeleft->right != NULL ? nodeleft->right->branch_size : 0);
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node->branch_size =
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(node->left != NULL ? node->left->branch_size : 0)
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+ 1 + (node->right != NULL ? node->right->branch_size : 0);
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nodeleftright->branch_size =
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nodeleft->branch_size + 1 + node->branch_size;
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*nodep = nodeleftright;
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height_diff = (height_diff < 0
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? /* noderight's height had been decremented from
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h+1 to h. The subtree's height changes from
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h+3 to h+2. */
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-1
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: /* nodeleft's height had been incremented from
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h+1 to h+2. The subtree's height changes from
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h+2 to h+2. */
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0);
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}
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}
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else
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{
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/* node->balance = 2. The subtree is heavier on the right side.
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Rotate from right to left:
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*
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/ \
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h h+2
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*/
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gl_list_node_t noderightleft = noderight->left;
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gl_list_node_t noderightright = noderight->right;
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if (noderight->balance >= 0)
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{
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/*
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* h+2|h+3
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/ \ / \
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h h+2 --> h+1|h+2 \
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/ \ / \ |
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h|h+1 h+1 h h|h+1 h+1
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*/
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node->right = noderightleft;
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noderight->left = node;
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noderight->parent = node->parent;
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node->parent = noderight;
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if (noderightleft != NULL)
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noderightleft->parent = node;
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noderight->balance -= 1;
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node->balance = - noderight->balance;
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node->branch_size =
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(nodeleft != NULL ? nodeleft->branch_size : 0)
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+ 1 + (noderightleft != NULL ? noderightleft->branch_size : 0);
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noderight->branch_size =
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node->branch_size + 1 + noderightright->branch_size;
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*nodep = noderight;
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height_diff = (height_diff < 0
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? /* nodeleft's height had been decremented from
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h+1 to h. The subtree's height changes from
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h+3 to h+2|h+3. */
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- noderight->balance - 1
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: /* noderight's height had been incremented from
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h+1 to h+2. The subtree's height changes from
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h+2 to h+2|h+3. */
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- noderight->balance);
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}
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else
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{
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/*
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* h+2
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/ \ / \
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h h+2 --> h+1 h+1
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/ \ / \ / \
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h+1 h h L R h
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/ \
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L R
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*/
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gl_list_node_t L = node->right = noderightleft->left;
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gl_list_node_t R = noderight->left = noderightleft->right;
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noderightleft->left = node;
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noderightleft->right = noderight;
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noderightleft->parent = node->parent;
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if (L != NULL)
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L->parent = node;
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if (R != NULL)
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R->parent = noderight;
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node->parent = noderightleft;
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noderight->parent = noderightleft;
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node->balance = (noderightleft->balance > 0 ? -1 : 0);
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noderight->balance = (noderightleft->balance < 0 ? 1 : 0);
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noderightleft->balance = 0;
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node->branch_size =
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(node->left != NULL ? node->left->branch_size : 0)
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+ 1 + (node->right != NULL ? node->right->branch_size : 0);
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noderight->branch_size =
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(noderight->left != NULL ? noderight->left->branch_size : 0)
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+ 1 + (noderight->right != NULL ? noderight->right->branch_size : 0);
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noderightleft->branch_size =
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node->branch_size + 1 + noderight->branch_size;
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*nodep = noderightleft;
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height_diff = (height_diff < 0
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? /* nodeleft's height had been decremented from
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h+1 to h. The subtree's height changes from
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h+3 to h+2. */
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-1
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: /* noderight's height had been incremented from
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h+1 to h+2. The subtree's height changes from
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h+2 to h+2. */
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0);
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}
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}
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node = *nodep;
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}
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else
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{
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/* No rotation needed. Only propagation of the height change to the
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next higher level. */
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if (height_diff < 0)
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height_diff = (previous_balance == 0 ? 0 : -1);
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else
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height_diff = (node->balance == 0 ? 0 : 1);
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}
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if (height_diff == 0)
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break;
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parent = node->parent;
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if (parent == NULL)
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break;
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}
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}
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static void
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gl_tree_remove_node_from_tree (gl_list_t list, gl_list_node_t node)
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{
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gl_list_node_t parent = node->parent;
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if (node->left == NULL)
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{
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/* Replace node with node->right. */
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gl_list_node_t child = node->right;
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if (child != NULL)
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child->parent = parent;
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if (parent == NULL)
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list->root = child;
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else
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{
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if (parent->left == node)
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parent->left = child;
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else /* parent->right == node */
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parent->right = child;
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/* Update branch_size fields of the parent nodes. */
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{
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gl_list_node_t p;
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for (p = parent; p != NULL; p = p->parent)
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p->branch_size--;
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}
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rebalance (list, child, -1, parent);
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}
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}
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else if (node->right == NULL)
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{
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/* It is not absolutely necessary to treat this case. But the more
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general case below is more complicated, hence slower. */
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/* Replace node with node->left. */
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gl_list_node_t child = node->left;
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child->parent = parent;
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if (parent == NULL)
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list->root = child;
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else
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{
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if (parent->left == node)
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parent->left = child;
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else /* parent->right == node */
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parent->right = child;
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/* Update branch_size fields of the parent nodes. */
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{
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gl_list_node_t p;
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for (p = parent; p != NULL; p = p->parent)
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p->branch_size--;
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}
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rebalance (list, child, -1, parent);
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}
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}
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else
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{
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/* Replace node with the rightmost element of the node->left subtree. */
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gl_list_node_t subst;
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gl_list_node_t subst_parent;
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gl_list_node_t child;
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for (subst = node->left; subst->right != NULL; )
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subst = subst->right;
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subst_parent = subst->parent;
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child = subst->left;
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/* The case subst_parent == node is special: If we do nothing special,
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we get confusion about node->left, subst->left and child->parent.
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subst_parent == node
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<==> The 'for' loop above terminated immediately.
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<==> subst == subst_parent->left
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[otherwise subst == subst_parent->right]
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In this case, we would need to first set
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child->parent = node; node->left = child;
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and later - when we copy subst into node's position - again
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child->parent = subst; subst->left = child;
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Altogether a no-op. */
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if (subst_parent != node)
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{
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if (child != NULL)
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child->parent = subst_parent;
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subst_parent->right = child;
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}
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/* Update branch_size fields of the parent nodes. */
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{
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gl_list_node_t p;
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for (p = subst_parent; p != NULL; p = p->parent)
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p->branch_size--;
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}
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/* Copy subst into node's position.
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(This is safer than to copy subst's value into node, keep node in
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place, and free subst.) */
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if (subst_parent != node)
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{
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subst->left = node->left;
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subst->left->parent = subst;
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}
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subst->right = node->right;
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subst->right->parent = subst;
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subst->balance = node->balance;
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subst->branch_size = node->branch_size;
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subst->parent = parent;
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if (parent == NULL)
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list->root = subst;
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else if (parent->left == node)
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parent->left = subst;
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else /* parent->right == node */
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parent->right = subst;
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/* Rebalancing starts at child's parent, that is subst_parent -
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|
except when subst_parent == node. In this case, we need to use
|
|
its replacement, subst. */
|
|
rebalance (list, child, -1, subst_parent != node ? subst_parent : subst);
|
|
}
|
|
}
|
|
|
|
static gl_list_node_t
|
|
gl_tree_nx_add_first (gl_list_t list, const void *elt)
|
|
{
|
|
/* Create new node. */
|
|
gl_list_node_t new_node =
|
|
(struct gl_list_node_impl *) malloc (sizeof (struct gl_list_node_impl));
|
|
|
|
if (new_node == NULL)
|
|
return NULL;
|
|
|
|
new_node->left = NULL;
|
|
new_node->right = NULL;
|
|
new_node->balance = 0;
|
|
new_node->branch_size = 1;
|
|
new_node->value = elt;
|
|
#if WITH_HASHTABLE
|
|
new_node->h.hashcode =
|
|
(list->base.hashcode_fn != NULL
|
|
? list->base.hashcode_fn (new_node->value)
|
|
: (size_t)(uintptr_t) new_node->value);
|
|
#endif
|
|
|
|
/* Add it to the tree. */
|
|
if (list->root == NULL)
|
|
{
|
|
list->root = new_node;
|
|
new_node->parent = NULL;
|
|
}
|
|
else
|
|
{
|
|
gl_list_node_t node;
|
|
|
|
for (node = list->root; node->left != NULL; )
|
|
node = node->left;
|
|
|
|
node->left = new_node;
|
|
new_node->parent = node;
|
|
node->balance--;
|
|
|
|
/* Update branch_size fields of the parent nodes. */
|
|
{
|
|
gl_list_node_t p;
|
|
|
|
for (p = node; p != NULL; p = p->parent)
|
|
p->branch_size++;
|
|
}
|
|
|
|
/* Rebalance. */
|
|
if (node->right == NULL && node->parent != NULL)
|
|
rebalance (list, node, 1, node->parent);
|
|
}
|
|
|
|
#if WITH_HASHTABLE
|
|
/* Add node to the hash table.
|
|
Note that this is only possible _after_ the node has been added to the
|
|
tree structure, because add_to_bucket() uses node_position(). */
|
|
if (add_to_bucket (list, new_node) < 0)
|
|
{
|
|
gl_tree_remove_node_from_tree (list, new_node);
|
|
free (new_node);
|
|
return NULL;
|
|
}
|
|
hash_resize_after_add (list);
|
|
#endif
|
|
|
|
return new_node;
|
|
}
|
|
|
|
static gl_list_node_t
|
|
gl_tree_nx_add_last (gl_list_t list, const void *elt)
|
|
{
|
|
/* Create new node. */
|
|
gl_list_node_t new_node =
|
|
(struct gl_list_node_impl *) malloc (sizeof (struct gl_list_node_impl));
|
|
|
|
if (new_node == NULL)
|
|
return NULL;
|
|
|
|
new_node->left = NULL;
|
|
new_node->right = NULL;
|
|
new_node->balance = 0;
|
|
new_node->branch_size = 1;
|
|
new_node->value = elt;
|
|
#if WITH_HASHTABLE
|
|
new_node->h.hashcode =
|
|
(list->base.hashcode_fn != NULL
|
|
? list->base.hashcode_fn (new_node->value)
|
|
: (size_t)(uintptr_t) new_node->value);
|
|
#endif
|
|
|
|
/* Add it to the tree. */
|
|
if (list->root == NULL)
|
|
{
|
|
list->root = new_node;
|
|
new_node->parent = NULL;
|
|
}
|
|
else
|
|
{
|
|
gl_list_node_t node;
|
|
|
|
for (node = list->root; node->right != NULL; )
|
|
node = node->right;
|
|
|
|
node->right = new_node;
|
|
new_node->parent = node;
|
|
node->balance++;
|
|
|
|
/* Update branch_size fields of the parent nodes. */
|
|
{
|
|
gl_list_node_t p;
|
|
|
|
for (p = node; p != NULL; p = p->parent)
|
|
p->branch_size++;
|
|
}
|
|
|
|
/* Rebalance. */
|
|
if (node->left == NULL && node->parent != NULL)
|
|
rebalance (list, node, 1, node->parent);
|
|
}
|
|
|
|
#if WITH_HASHTABLE
|
|
/* Add node to the hash table.
|
|
Note that this is only possible _after_ the node has been added to the
|
|
tree structure, because add_to_bucket() uses node_position(). */
|
|
if (add_to_bucket (list, new_node) < 0)
|
|
{
|
|
gl_tree_remove_node_from_tree (list, new_node);
|
|
free (new_node);
|
|
return NULL;
|
|
}
|
|
hash_resize_after_add (list);
|
|
#endif
|
|
|
|
return new_node;
|
|
}
|
|
|
|
static gl_list_node_t
|
|
gl_tree_nx_add_before (gl_list_t list, gl_list_node_t node, const void *elt)
|
|
{
|
|
/* Create new node. */
|
|
gl_list_node_t new_node;
|
|
bool height_inc;
|
|
|
|
new_node =
|
|
(struct gl_list_node_impl *) malloc (sizeof (struct gl_list_node_impl));
|
|
if (new_node == NULL)
|
|
return NULL;
|
|
|
|
new_node->left = NULL;
|
|
new_node->right = NULL;
|
|
new_node->balance = 0;
|
|
new_node->branch_size = 1;
|
|
new_node->value = elt;
|
|
#if WITH_HASHTABLE
|
|
new_node->h.hashcode =
|
|
(list->base.hashcode_fn != NULL
|
|
? list->base.hashcode_fn (new_node->value)
|
|
: (size_t)(uintptr_t) new_node->value);
|
|
#endif
|
|
|
|
/* Add it to the tree. */
|
|
if (node->left == NULL)
|
|
{
|
|
node->left = new_node;
|
|
node->balance--;
|
|
height_inc = (node->right == NULL);
|
|
}
|
|
else
|
|
{
|
|
for (node = node->left; node->right != NULL; )
|
|
node = node->right;
|
|
node->right = new_node;
|
|
node->balance++;
|
|
height_inc = (node->left == NULL);
|
|
}
|
|
new_node->parent = node;
|
|
|
|
/* Update branch_size fields of the parent nodes. */
|
|
{
|
|
gl_list_node_t p;
|
|
|
|
for (p = node; p != NULL; p = p->parent)
|
|
p->branch_size++;
|
|
}
|
|
|
|
/* Rebalance. */
|
|
if (height_inc && node->parent != NULL)
|
|
rebalance (list, node, 1, node->parent);
|
|
|
|
#if WITH_HASHTABLE
|
|
/* Add node to the hash table.
|
|
Note that this is only possible _after_ the node has been added to the
|
|
tree structure, because add_to_bucket() uses node_position(). */
|
|
if (add_to_bucket (list, new_node) < 0)
|
|
{
|
|
gl_tree_remove_node_from_tree (list, new_node);
|
|
free (new_node);
|
|
return NULL;
|
|
}
|
|
hash_resize_after_add (list);
|
|
#endif
|
|
|
|
return new_node;
|
|
}
|
|
|
|
static gl_list_node_t
|
|
gl_tree_nx_add_after (gl_list_t list, gl_list_node_t node, const void *elt)
|
|
{
|
|
/* Create new node. */
|
|
gl_list_node_t new_node;
|
|
bool height_inc;
|
|
|
|
new_node =
|
|
(struct gl_list_node_impl *) malloc (sizeof (struct gl_list_node_impl));
|
|
if (new_node == NULL)
|
|
return NULL;
|
|
|
|
new_node->left = NULL;
|
|
new_node->right = NULL;
|
|
new_node->balance = 0;
|
|
new_node->branch_size = 1;
|
|
new_node->value = elt;
|
|
#if WITH_HASHTABLE
|
|
new_node->h.hashcode =
|
|
(list->base.hashcode_fn != NULL
|
|
? list->base.hashcode_fn (new_node->value)
|
|
: (size_t)(uintptr_t) new_node->value);
|
|
#endif
|
|
|
|
/* Add it to the tree. */
|
|
if (node->right == NULL)
|
|
{
|
|
node->right = new_node;
|
|
node->balance++;
|
|
height_inc = (node->left == NULL);
|
|
}
|
|
else
|
|
{
|
|
for (node = node->right; node->left != NULL; )
|
|
node = node->left;
|
|
node->left = new_node;
|
|
node->balance--;
|
|
height_inc = (node->right == NULL);
|
|
}
|
|
new_node->parent = node;
|
|
|
|
/* Update branch_size fields of the parent nodes. */
|
|
{
|
|
gl_list_node_t p;
|
|
|
|
for (p = node; p != NULL; p = p->parent)
|
|
p->branch_size++;
|
|
}
|
|
|
|
/* Rebalance. */
|
|
if (height_inc && node->parent != NULL)
|
|
rebalance (list, node, 1, node->parent);
|
|
|
|
#if WITH_HASHTABLE
|
|
/* Add node to the hash table.
|
|
Note that this is only possible _after_ the node has been added to the
|
|
tree structure, because add_to_bucket() uses node_position(). */
|
|
if (add_to_bucket (list, new_node) < 0)
|
|
{
|
|
gl_tree_remove_node_from_tree (list, new_node);
|
|
free (new_node);
|
|
return NULL;
|
|
}
|
|
hash_resize_after_add (list);
|
|
#endif
|
|
|
|
return new_node;
|
|
}
|