aboutsummaryrefslogtreecommitdiff
path: root/util/qtree.c
diff options
context:
space:
mode:
Diffstat (limited to 'util/qtree.c')
-rw-r--r--util/qtree.c1390
1 files changed, 1390 insertions, 0 deletions
diff --git a/util/qtree.c b/util/qtree.c
new file mode 100644
index 0000000..deb46c1
--- /dev/null
+++ b/util/qtree.c
@@ -0,0 +1,1390 @@
+/*
+ * GLIB - Library of useful routines for C programming
+ * Copyright (C) 1995-1997 Peter Mattis, Spencer Kimball and Josh MacDonald
+ *
+ * SPDX-License-Identifier: LGPL-2.1-or-later
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU Lesser General Public
+ * License as published by the Free Software Foundation; either
+ * version 2.1 of the License, or (at your option) any later version.
+ *
+ * This library is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ * Lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with this library; if not, see <http://www.gnu.org/licenses/>.
+ */
+
+/*
+ * Modified by the GLib Team and others 1997-2000. See the AUTHORS
+ * file for a list of people on the GLib Team. See the ChangeLog
+ * files for a list of changes. These files are distributed with
+ * GLib at ftp://ftp.gtk.org/pub/gtk/.
+ */
+
+/*
+ * MT safe
+ */
+
+#include "qemu/osdep.h"
+#include "qemu/qtree.h"
+
+/**
+ * SECTION:trees-binary
+ * @title: Balanced Binary Trees
+ * @short_description: a sorted collection of key/value pairs optimized
+ * for searching and traversing in order
+ *
+ * The #QTree structure and its associated functions provide a sorted
+ * collection of key/value pairs optimized for searching and traversing
+ * in order. This means that most of the operations (access, search,
+ * insertion, deletion, ...) on #QTree are O(log(n)) in average and O(n)
+ * in worst case for time complexity. But, note that maintaining a
+ * balanced sorted #QTree of n elements is done in time O(n log(n)).
+ *
+ * To create a new #QTree use q_tree_new().
+ *
+ * To insert a key/value pair into a #QTree use q_tree_insert()
+ * (O(n log(n))).
+ *
+ * To remove a key/value pair use q_tree_remove() (O(n log(n))).
+ *
+ * To look up the value corresponding to a given key, use
+ * q_tree_lookup() and q_tree_lookup_extended().
+ *
+ * To find out the number of nodes in a #QTree, use q_tree_nnodes(). To
+ * get the height of a #QTree, use q_tree_height().
+ *
+ * To traverse a #QTree, calling a function for each node visited in
+ * the traversal, use q_tree_foreach().
+ *
+ * To destroy a #QTree, use q_tree_destroy().
+ **/
+
+#define MAX_GTREE_HEIGHT 40
+
+/**
+ * QTree:
+ *
+ * The QTree struct is an opaque data structure representing a
+ * [balanced binary tree][glib-Balanced-Binary-Trees]. It should be
+ * accessed only by using the following functions.
+ */
+struct _QTree {
+ QTreeNode *root;
+ GCompareDataFunc key_compare;
+ GDestroyNotify key_destroy_func;
+ GDestroyNotify value_destroy_func;
+ gpointer key_compare_data;
+ guint nnodes;
+ gint ref_count;
+};
+
+struct _QTreeNode {
+ gpointer key; /* key for this node */
+ gpointer value; /* value stored at this node */
+ QTreeNode *left; /* left subtree */
+ QTreeNode *right; /* right subtree */
+ gint8 balance; /* height (right) - height (left) */
+ guint8 left_child;
+ guint8 right_child;
+};
+
+
+static QTreeNode *q_tree_node_new(gpointer key,
+ gpointer value);
+static QTreeNode *q_tree_insert_internal(QTree *tree,
+ gpointer key,
+ gpointer value,
+ gboolean replace);
+static gboolean q_tree_remove_internal(QTree *tree,
+ gconstpointer key,
+ gboolean steal);
+static QTreeNode *q_tree_node_balance(QTreeNode *node);
+static QTreeNode *q_tree_find_node(QTree *tree,
+ gconstpointer key);
+static QTreeNode *q_tree_node_search(QTreeNode *node,
+ GCompareFunc search_func,
+ gconstpointer data);
+static QTreeNode *q_tree_node_rotate_left(QTreeNode *node);
+static QTreeNode *q_tree_node_rotate_right(QTreeNode *node);
+#ifdef Q_TREE_DEBUG
+static void q_tree_node_check(QTreeNode *node);
+#endif
+
+static QTreeNode*
+q_tree_node_new(gpointer key,
+ gpointer value)
+{
+ QTreeNode *node = g_new(QTreeNode, 1);
+
+ node->balance = 0;
+ node->left = NULL;
+ node->right = NULL;
+ node->left_child = FALSE;
+ node->right_child = FALSE;
+ node->key = key;
+ node->value = value;
+
+ return node;
+}
+
+/**
+ * q_tree_new:
+ * @key_compare_func: the function used to order the nodes in the #QTree.
+ * It should return values similar to the standard strcmp() function -
+ * 0 if the two arguments are equal, a negative value if the first argument
+ * comes before the second, or a positive value if the first argument comes
+ * after the second.
+ *
+ * Creates a new #QTree.
+ *
+ * Returns: a newly allocated #QTree
+ */
+QTree *
+q_tree_new(GCompareFunc key_compare_func)
+{
+ g_return_val_if_fail(key_compare_func != NULL, NULL);
+
+ return q_tree_new_full((GCompareDataFunc) key_compare_func, NULL,
+ NULL, NULL);
+}
+
+/**
+ * q_tree_new_with_data:
+ * @key_compare_func: qsort()-style comparison function
+ * @key_compare_data: data to pass to comparison function
+ *
+ * Creates a new #QTree with a comparison function that accepts user data.
+ * See q_tree_new() for more details.
+ *
+ * Returns: a newly allocated #QTree
+ */
+QTree *
+q_tree_new_with_data(GCompareDataFunc key_compare_func,
+ gpointer key_compare_data)
+{
+ g_return_val_if_fail(key_compare_func != NULL, NULL);
+
+ return q_tree_new_full(key_compare_func, key_compare_data,
+ NULL, NULL);
+}
+
+/**
+ * q_tree_new_full:
+ * @key_compare_func: qsort()-style comparison function
+ * @key_compare_data: data to pass to comparison function
+ * @key_destroy_func: a function to free the memory allocated for the key
+ * used when removing the entry from the #QTree or %NULL if you don't
+ * want to supply such a function
+ * @value_destroy_func: a function to free the memory allocated for the
+ * value used when removing the entry from the #QTree or %NULL if you
+ * don't want to supply such a function
+ *
+ * Creates a new #QTree like q_tree_new() and allows to specify functions
+ * to free the memory allocated for the key and value that get called when
+ * removing the entry from the #QTree.
+ *
+ * Returns: a newly allocated #QTree
+ */
+QTree *
+q_tree_new_full(GCompareDataFunc key_compare_func,
+ gpointer key_compare_data,
+ GDestroyNotify key_destroy_func,
+ GDestroyNotify value_destroy_func)
+{
+ QTree *tree;
+
+ g_return_val_if_fail(key_compare_func != NULL, NULL);
+
+ tree = g_new(QTree, 1);
+ tree->root = NULL;
+ tree->key_compare = key_compare_func;
+ tree->key_destroy_func = key_destroy_func;
+ tree->value_destroy_func = value_destroy_func;
+ tree->key_compare_data = key_compare_data;
+ tree->nnodes = 0;
+ tree->ref_count = 1;
+
+ return tree;
+}
+
+/**
+ * q_tree_node_first:
+ * @tree: a #QTree
+ *
+ * Returns the first in-order node of the tree, or %NULL
+ * for an empty tree.
+ *
+ * Returns: (nullable) (transfer none): the first node in the tree
+ *
+ * Since: 2.68 in GLib. Internal in Qtree, i.e. not in the public API.
+ */
+static QTreeNode *
+q_tree_node_first(QTree *tree)
+{
+ QTreeNode *tmp;
+
+ g_return_val_if_fail(tree != NULL, NULL);
+
+ if (!tree->root) {
+ return NULL;
+ }
+
+ tmp = tree->root;
+
+ while (tmp->left_child) {
+ tmp = tmp->left;
+ }
+
+ return tmp;
+}
+
+/**
+ * q_tree_node_previous
+ * @node: a #QTree node
+ *
+ * Returns the previous in-order node of the tree, or %NULL
+ * if the passed node was already the first one.
+ *
+ * Returns: (nullable) (transfer none): the previous node in the tree
+ *
+ * Since: 2.68 in GLib. Internal in Qtree, i.e. not in the public API.
+ */
+static QTreeNode *
+q_tree_node_previous(QTreeNode *node)
+{
+ QTreeNode *tmp;
+
+ g_return_val_if_fail(node != NULL, NULL);
+
+ tmp = node->left;
+
+ if (node->left_child) {
+ while (tmp->right_child) {
+ tmp = tmp->right;
+ }
+ }
+
+ return tmp;
+}
+
+/**
+ * q_tree_node_next
+ * @node: a #QTree node
+ *
+ * Returns the next in-order node of the tree, or %NULL
+ * if the passed node was already the last one.
+ *
+ * Returns: (nullable) (transfer none): the next node in the tree
+ *
+ * Since: 2.68 in GLib. Internal in Qtree, i.e. not in the public API.
+ */
+static QTreeNode *
+q_tree_node_next(QTreeNode *node)
+{
+ QTreeNode *tmp;
+
+ g_return_val_if_fail(node != NULL, NULL);
+
+ tmp = node->right;
+
+ if (node->right_child) {
+ while (tmp->left_child) {
+ tmp = tmp->left;
+ }
+ }
+
+ return tmp;
+}
+
+/**
+ * q_tree_remove_all:
+ * @tree: a #QTree
+ *
+ * Removes all nodes from a #QTree and destroys their keys and values,
+ * then resets the #QTree’s root to %NULL.
+ *
+ * Since: 2.70 in GLib. Internal in Qtree, i.e. not in the public API.
+ */
+static void
+q_tree_remove_all(QTree *tree)
+{
+ QTreeNode *node;
+ QTreeNode *next;
+
+ g_return_if_fail(tree != NULL);
+
+ node = q_tree_node_first(tree);
+
+ while (node) {
+ next = q_tree_node_next(node);
+
+ if (tree->key_destroy_func) {
+ tree->key_destroy_func(node->key);
+ }
+ if (tree->value_destroy_func) {
+ tree->value_destroy_func(node->value);
+ }
+ g_free(node);
+
+#ifdef Q_TREE_DEBUG
+ g_assert(tree->nnodes > 0);
+ tree->nnodes--;
+#endif
+
+ node = next;
+ }
+
+#ifdef Q_TREE_DEBUG
+ g_assert(tree->nnodes == 0);
+#endif
+
+ tree->root = NULL;
+#ifndef Q_TREE_DEBUG
+ tree->nnodes = 0;
+#endif
+}
+
+/**
+ * q_tree_ref:
+ * @tree: a #QTree
+ *
+ * Increments the reference count of @tree by one.
+ *
+ * It is safe to call this function from any thread.
+ *
+ * Returns: the passed in #QTree
+ *
+ * Since: 2.22
+ */
+QTree *
+q_tree_ref(QTree *tree)
+{
+ g_return_val_if_fail(tree != NULL, NULL);
+
+ g_atomic_int_inc(&tree->ref_count);
+
+ return tree;
+}
+
+/**
+ * q_tree_unref:
+ * @tree: a #QTree
+ *
+ * Decrements the reference count of @tree by one.
+ * If the reference count drops to 0, all keys and values will
+ * be destroyed (if destroy functions were specified) and all
+ * memory allocated by @tree will be released.
+ *
+ * It is safe to call this function from any thread.
+ *
+ * Since: 2.22
+ */
+void
+q_tree_unref(QTree *tree)
+{
+ g_return_if_fail(tree != NULL);
+
+ if (g_atomic_int_dec_and_test(&tree->ref_count)) {
+ q_tree_remove_all(tree);
+ g_free(tree);
+ }
+}
+
+/**
+ * q_tree_destroy:
+ * @tree: a #QTree
+ *
+ * Removes all keys and values from the #QTree and decreases its
+ * reference count by one. If keys and/or values are dynamically
+ * allocated, you should either free them first or create the #QTree
+ * using q_tree_new_full(). In the latter case the destroy functions
+ * you supplied will be called on all keys and values before destroying
+ * the #QTree.
+ */
+void
+q_tree_destroy(QTree *tree)
+{
+ g_return_if_fail(tree != NULL);
+
+ q_tree_remove_all(tree);
+ q_tree_unref(tree);
+}
+
+/**
+ * q_tree_insert_node:
+ * @tree: a #QTree
+ * @key: the key to insert
+ * @value: the value corresponding to the key
+ *
+ * Inserts a key/value pair into a #QTree.
+ *
+ * If the given key already exists in the #QTree its corresponding value
+ * is set to the new value. If you supplied a @value_destroy_func when
+ * creating the #QTree, the old value is freed using that function. If
+ * you supplied a @key_destroy_func when creating the #QTree, the passed
+ * key is freed using that function.
+ *
+ * The tree is automatically 'balanced' as new key/value pairs are added,
+ * so that the distance from the root to every leaf is as small as possible.
+ * The cost of maintaining a balanced tree while inserting new key/value
+ * result in a O(n log(n)) operation where most of the other operations
+ * are O(log(n)).
+ *
+ * Returns: (transfer none): the inserted (or set) node.
+ *
+ * Since: 2.68 in GLib. Internal in Qtree, i.e. not in the public API.
+ */
+static QTreeNode *
+q_tree_insert_node(QTree *tree,
+ gpointer key,
+ gpointer value)
+{
+ QTreeNode *node;
+
+ g_return_val_if_fail(tree != NULL, NULL);
+
+ node = q_tree_insert_internal(tree, key, value, FALSE);
+
+#ifdef Q_TREE_DEBUG
+ q_tree_node_check(tree->root);
+#endif
+
+ return node;
+}
+
+/**
+ * q_tree_insert:
+ * @tree: a #QTree
+ * @key: the key to insert
+ * @value: the value corresponding to the key
+ *
+ * Inserts a key/value pair into a #QTree.
+ *
+ * Inserts a new key and value into a #QTree as q_tree_insert_node() does,
+ * only this function does not return the inserted or set node.
+ */
+void
+q_tree_insert(QTree *tree,
+ gpointer key,
+ gpointer value)
+{
+ q_tree_insert_node(tree, key, value);
+}
+
+/**
+ * q_tree_replace_node:
+ * @tree: a #QTree
+ * @key: the key to insert
+ * @value: the value corresponding to the key
+ *
+ * Inserts a new key and value into a #QTree similar to q_tree_insert_node().
+ * The difference is that if the key already exists in the #QTree, it gets
+ * replaced by the new key. If you supplied a @value_destroy_func when
+ * creating the #QTree, the old value is freed using that function. If you
+ * supplied a @key_destroy_func when creating the #QTree, the old key is
+ * freed using that function.
+ *
+ * The tree is automatically 'balanced' as new key/value pairs are added,
+ * so that the distance from the root to every leaf is as small as possible.
+ *
+ * Returns: (transfer none): the inserted (or set) node.
+ *
+ * Since: 2.68 in GLib. Internal in Qtree, i.e. not in the public API.
+ */
+static QTreeNode *
+q_tree_replace_node(QTree *tree,
+ gpointer key,
+ gpointer value)
+{
+ QTreeNode *node;
+
+ g_return_val_if_fail(tree != NULL, NULL);
+
+ node = q_tree_insert_internal(tree, key, value, TRUE);
+
+#ifdef Q_TREE_DEBUG
+ q_tree_node_check(tree->root);
+#endif
+
+ return node;
+}
+
+/**
+ * q_tree_replace:
+ * @tree: a #QTree
+ * @key: the key to insert
+ * @value: the value corresponding to the key
+ *
+ * Inserts a new key and value into a #QTree as q_tree_replace_node() does,
+ * only this function does not return the inserted or set node.
+ */
+void
+q_tree_replace(QTree *tree,
+ gpointer key,
+ gpointer value)
+{
+ q_tree_replace_node(tree, key, value);
+}
+
+/* internal insert routine */
+static QTreeNode *
+q_tree_insert_internal(QTree *tree,
+ gpointer key,
+ gpointer value,
+ gboolean replace)
+{
+ QTreeNode *node, *retnode;
+ QTreeNode *path[MAX_GTREE_HEIGHT];
+ int idx;
+
+ g_return_val_if_fail(tree != NULL, NULL);
+
+ if (!tree->root) {
+ tree->root = q_tree_node_new(key, value);
+ tree->nnodes++;
+ return tree->root;
+ }
+
+ idx = 0;
+ path[idx++] = NULL;
+ node = tree->root;
+
+ while (1) {
+ int cmp = tree->key_compare(key, node->key, tree->key_compare_data);
+
+ if (cmp == 0) {
+ if (tree->value_destroy_func) {
+ tree->value_destroy_func(node->value);
+ }
+
+ node->value = value;
+
+ if (replace) {
+ if (tree->key_destroy_func) {
+ tree->key_destroy_func(node->key);
+ }
+
+ node->key = key;
+ } else {
+ /* free the passed key */
+ if (tree->key_destroy_func) {
+ tree->key_destroy_func(key);
+ }
+ }
+
+ return node;
+ } else if (cmp < 0) {
+ if (node->left_child) {
+ path[idx++] = node;
+ node = node->left;
+ } else {
+ QTreeNode *child = q_tree_node_new(key, value);
+
+ child->left = node->left;
+ child->right = node;
+ node->left = child;
+ node->left_child = TRUE;
+ node->balance -= 1;
+
+ tree->nnodes++;
+
+ retnode = child;
+ break;
+ }
+ } else {
+ if (node->right_child) {
+ path[idx++] = node;
+ node = node->right;
+ } else {
+ QTreeNode *child = q_tree_node_new(key, value);
+
+ child->right = node->right;
+ child->left = node;
+ node->right = child;
+ node->right_child = TRUE;
+ node->balance += 1;
+
+ tree->nnodes++;
+
+ retnode = child;
+ break;
+ }
+ }
+ }
+
+ /*
+ * Restore balance. This is the goodness of a non-recursive
+ * implementation, when we are done with balancing we 'break'
+ * the loop and we are done.
+ */
+ while (1) {
+ QTreeNode *bparent = path[--idx];
+ gboolean left_node = (bparent && node == bparent->left);
+ g_assert(!bparent || bparent->left == node || bparent->right == node);
+
+ if (node->balance < -1 || node->balance > 1) {
+ node = q_tree_node_balance(node);
+ if (bparent == NULL) {
+ tree->root = node;
+ } else if (left_node) {
+ bparent->left = node;
+ } else {
+ bparent->right = node;
+ }
+ }
+
+ if (node->balance == 0 || bparent == NULL) {
+ break;
+ }
+
+ if (left_node) {
+ bparent->balance -= 1;
+ } else {
+ bparent->balance += 1;
+ }
+
+ node = bparent;
+ }
+
+ return retnode;
+}
+
+/**
+ * q_tree_remove:
+ * @tree: a #QTree
+ * @key: the key to remove
+ *
+ * Removes a key/value pair from a #QTree.
+ *
+ * If the #QTree was created using q_tree_new_full(), the key and value
+ * are freed using the supplied destroy functions, otherwise you have to
+ * make sure that any dynamically allocated values are freed yourself.
+ * If the key does not exist in the #QTree, the function does nothing.
+ *
+ * The cost of maintaining a balanced tree while removing a key/value
+ * result in a O(n log(n)) operation where most of the other operations
+ * are O(log(n)).
+ *
+ * Returns: %TRUE if the key was found (prior to 2.8, this function
+ * returned nothing)
+ */
+gboolean
+q_tree_remove(QTree *tree,
+ gconstpointer key)
+{
+ gboolean removed;
+
+ g_return_val_if_fail(tree != NULL, FALSE);
+
+ removed = q_tree_remove_internal(tree, key, FALSE);
+
+#ifdef Q_TREE_DEBUG
+ q_tree_node_check(tree->root);
+#endif
+
+ return removed;
+}
+
+/**
+ * q_tree_steal:
+ * @tree: a #QTree
+ * @key: the key to remove
+ *
+ * Removes a key and its associated value from a #QTree without calling
+ * the key and value destroy functions.
+ *
+ * If the key does not exist in the #QTree, the function does nothing.
+ *
+ * Returns: %TRUE if the key was found (prior to 2.8, this function
+ * returned nothing)
+ */
+gboolean
+q_tree_steal(QTree *tree,
+ gconstpointer key)
+{
+ gboolean removed;
+
+ g_return_val_if_fail(tree != NULL, FALSE);
+
+ removed = q_tree_remove_internal(tree, key, TRUE);
+
+#ifdef Q_TREE_DEBUG
+ q_tree_node_check(tree->root);
+#endif
+
+ return removed;
+}
+
+/* internal remove routine */
+static gboolean
+q_tree_remove_internal(QTree *tree,
+ gconstpointer key,
+ gboolean steal)
+{
+ QTreeNode *node, *parent, *balance;
+ QTreeNode *path[MAX_GTREE_HEIGHT];
+ int idx;
+ gboolean left_node;
+
+ g_return_val_if_fail(tree != NULL, FALSE);
+
+ if (!tree->root) {
+ return FALSE;
+ }
+
+ idx = 0;
+ path[idx++] = NULL;
+ node = tree->root;
+
+ while (1) {
+ int cmp = tree->key_compare(key, node->key, tree->key_compare_data);
+
+ if (cmp == 0) {
+ break;
+ } else if (cmp < 0) {
+ if (!node->left_child) {
+ return FALSE;
+ }
+
+ path[idx++] = node;
+ node = node->left;
+ } else {
+ if (!node->right_child) {
+ return FALSE;
+ }
+
+ path[idx++] = node;
+ node = node->right;
+ }
+ }
+
+ /*
+ * The following code is almost equal to q_tree_remove_node,
+ * except that we do not have to call q_tree_node_parent.
+ */
+ balance = parent = path[--idx];
+ g_assert(!parent || parent->left == node || parent->right == node);
+ left_node = (parent && node == parent->left);
+
+ if (!node->left_child) {
+ if (!node->right_child) {
+ if (!parent) {
+ tree->root = NULL;
+ } else if (left_node) {
+ parent->left_child = FALSE;
+ parent->left = node->left;
+ parent->balance += 1;
+ } else {
+ parent->right_child = FALSE;
+ parent->right = node->right;
+ parent->balance -= 1;
+ }
+ } else {
+ /* node has a right child */
+ QTreeNode *tmp = q_tree_node_next(node);
+ tmp->left = node->left;
+
+ if (!parent) {
+ tree->root = node->right;
+ } else if (left_node) {
+ parent->left = node->right;
+ parent->balance += 1;
+ } else {
+ parent->right = node->right;
+ parent->balance -= 1;
+ }
+ }
+ } else {
+ /* node has a left child */
+ if (!node->right_child) {
+ QTreeNode *tmp = q_tree_node_previous(node);
+ tmp->right = node->right;
+
+ if (parent == NULL) {
+ tree->root = node->left;
+ } else if (left_node) {
+ parent->left = node->left;
+ parent->balance += 1;
+ } else {
+ parent->right = node->left;
+ parent->balance -= 1;
+ }
+ } else {
+ /* node has a both children (pant, pant!) */
+ QTreeNode *prev = node->left;
+ QTreeNode *next = node->right;
+ QTreeNode *nextp = node;
+ int old_idx = idx + 1;
+ idx++;
+
+ /* path[idx] == parent */
+ /* find the immediately next node (and its parent) */
+ while (next->left_child) {
+ path[++idx] = nextp = next;
+ next = next->left;
+ }
+
+ path[old_idx] = next;
+ balance = path[idx];
+
+ /* remove 'next' from the tree */
+ if (nextp != node) {
+ if (next->right_child) {
+ nextp->left = next->right;
+ } else {
+ nextp->left_child = FALSE;
+ }
+ nextp->balance += 1;
+
+ next->right_child = TRUE;
+ next->right = node->right;
+ } else {
+ node->balance -= 1;
+ }
+
+ /* set the prev to point to the right place */
+ while (prev->right_child) {
+ prev = prev->right;
+ }
+ prev->right = next;
+
+ /* prepare 'next' to replace 'node' */
+ next->left_child = TRUE;
+ next->left = node->left;
+ next->balance = node->balance;
+
+ if (!parent) {
+ tree->root = next;
+ } else if (left_node) {
+ parent->left = next;
+ } else {
+ parent->right = next;
+ }
+ }
+ }
+
+ /* restore balance */
+ if (balance) {
+ while (1) {
+ QTreeNode *bparent = path[--idx];
+ g_assert(!bparent ||
+ bparent->left == balance ||
+ bparent->right == balance);
+ left_node = (bparent && balance == bparent->left);
+
+ if (balance->balance < -1 || balance->balance > 1) {
+ balance = q_tree_node_balance(balance);
+ if (!bparent) {
+ tree->root = balance;
+ } else if (left_node) {
+ bparent->left = balance;
+ } else {
+ bparent->right = balance;
+ }
+ }
+
+ if (balance->balance != 0 || !bparent) {
+ break;
+ }
+
+ if (left_node) {
+ bparent->balance += 1;
+ } else {
+ bparent->balance -= 1;
+ }
+
+ balance = bparent;
+ }
+ }
+
+ if (!steal) {
+ if (tree->key_destroy_func) {
+ tree->key_destroy_func(node->key);
+ }
+ if (tree->value_destroy_func) {
+ tree->value_destroy_func(node->value);
+ }
+ }
+
+ g_free(node);
+
+ tree->nnodes--;
+
+ return TRUE;
+}
+
+/**
+ * q_tree_lookup_node:
+ * @tree: a #QTree
+ * @key: the key to look up
+ *
+ * Gets the tree node corresponding to the given key. Since a #QTree is
+ * automatically balanced as key/value pairs are added, key lookup
+ * is O(log n) (where n is the number of key/value pairs in the tree).
+ *
+ * Returns: (nullable) (transfer none): the tree node corresponding to
+ * the key, or %NULL if the key was not found
+ *
+ * Since: 2.68 in GLib. Internal in Qtree, i.e. not in the public API.
+ */
+static QTreeNode *
+q_tree_lookup_node(QTree *tree,
+ gconstpointer key)
+{
+ g_return_val_if_fail(tree != NULL, NULL);
+
+ return q_tree_find_node(tree, key);
+}
+
+/**
+ * q_tree_lookup:
+ * @tree: a #QTree
+ * @key: the key to look up
+ *
+ * Gets the value corresponding to the given key. Since a #QTree is
+ * automatically balanced as key/value pairs are added, key lookup
+ * is O(log n) (where n is the number of key/value pairs in the tree).
+ *
+ * Returns: the value corresponding to the key, or %NULL
+ * if the key was not found
+ */
+gpointer
+q_tree_lookup(QTree *tree,
+ gconstpointer key)
+{
+ QTreeNode *node;
+
+ node = q_tree_lookup_node(tree, key);
+
+ return node ? node->value : NULL;
+}
+
+/**
+ * q_tree_lookup_extended:
+ * @tree: a #QTree
+ * @lookup_key: the key to look up
+ * @orig_key: (out) (optional) (nullable): returns the original key
+ * @value: (out) (optional) (nullable): returns the value associated with
+ * the key
+ *
+ * Looks up a key in the #QTree, returning the original key and the
+ * associated value. This is useful if you need to free the memory
+ * allocated for the original key, for example before calling
+ * q_tree_remove().
+ *
+ * Returns: %TRUE if the key was found in the #QTree
+ */
+gboolean
+q_tree_lookup_extended(QTree *tree,
+ gconstpointer lookup_key,
+ gpointer *orig_key,
+ gpointer *value)
+{
+ QTreeNode *node;
+
+ g_return_val_if_fail(tree != NULL, FALSE);
+
+ node = q_tree_find_node(tree, lookup_key);
+
+ if (node) {
+ if (orig_key) {
+ *orig_key = node->key;
+ }
+ if (value) {
+ *value = node->value;
+ }
+ return TRUE;
+ } else {
+ return FALSE;
+ }
+}
+
+/**
+ * q_tree_foreach:
+ * @tree: a #QTree
+ * @func: the function to call for each node visited.
+ * If this function returns %TRUE, the traversal is stopped.
+ * @user_data: user data to pass to the function
+ *
+ * Calls the given function for each of the key/value pairs in the #QTree.
+ * The function is passed the key and value of each pair, and the given
+ * @data parameter. The tree is traversed in sorted order.
+ *
+ * The tree may not be modified while iterating over it (you can't
+ * add/remove items). To remove all items matching a predicate, you need
+ * to add each item to a list in your #GTraverseFunc as you walk over
+ * the tree, then walk the list and remove each item.
+ */
+void
+q_tree_foreach(QTree *tree,
+ GTraverseFunc func,
+ gpointer user_data)
+{
+ QTreeNode *node;
+
+ g_return_if_fail(tree != NULL);
+
+ if (!tree->root) {
+ return;
+ }
+
+ node = q_tree_node_first(tree);
+
+ while (node) {
+ if ((*func)(node->key, node->value, user_data)) {
+ break;
+ }
+
+ node = q_tree_node_next(node);
+ }
+}
+
+/**
+ * q_tree_search_node:
+ * @tree: a #QTree
+ * @search_func: a function used to search the #QTree
+ * @user_data: the data passed as the second argument to @search_func
+ *
+ * Searches a #QTree using @search_func.
+ *
+ * The @search_func is called with a pointer to the key of a key/value
+ * pair in the tree, and the passed in @user_data. If @search_func returns
+ * 0 for a key/value pair, then the corresponding node is returned as
+ * the result of q_tree_search(). If @search_func returns -1, searching
+ * will proceed among the key/value pairs that have a smaller key; if
+ * @search_func returns 1, searching will proceed among the key/value
+ * pairs that have a larger key.
+ *
+ * Returns: (nullable) (transfer none): the node corresponding to the
+ * found key, or %NULL if the key was not found
+ *
+ * Since: 2.68 in GLib. Internal in Qtree, i.e. not in the public API.
+ */
+static QTreeNode *
+q_tree_search_node(QTree *tree,
+ GCompareFunc search_func,
+ gconstpointer user_data)
+{
+ g_return_val_if_fail(tree != NULL, NULL);
+
+ if (!tree->root) {
+ return NULL;
+ }
+
+ return q_tree_node_search(tree->root, search_func, user_data);
+}
+
+/**
+ * q_tree_search:
+ * @tree: a #QTree
+ * @search_func: a function used to search the #QTree
+ * @user_data: the data passed as the second argument to @search_func
+ *
+ * Searches a #QTree using @search_func.
+ *
+ * The @search_func is called with a pointer to the key of a key/value
+ * pair in the tree, and the passed in @user_data. If @search_func returns
+ * 0 for a key/value pair, then the corresponding value is returned as
+ * the result of q_tree_search(). If @search_func returns -1, searching
+ * will proceed among the key/value pairs that have a smaller key; if
+ * @search_func returns 1, searching will proceed among the key/value
+ * pairs that have a larger key.
+ *
+ * Returns: the value corresponding to the found key, or %NULL
+ * if the key was not found
+ */
+gpointer
+q_tree_search(QTree *tree,
+ GCompareFunc search_func,
+ gconstpointer user_data)
+{
+ QTreeNode *node;
+
+ node = q_tree_search_node(tree, search_func, user_data);
+
+ return node ? node->value : NULL;
+}
+
+/**
+ * q_tree_height:
+ * @tree: a #QTree
+ *
+ * Gets the height of a #QTree.
+ *
+ * If the #QTree contains no nodes, the height is 0.
+ * If the #QTree contains only one root node the height is 1.
+ * If the root node has children the height is 2, etc.
+ *
+ * Returns: the height of @tree
+ */
+gint
+q_tree_height(QTree *tree)
+{
+ QTreeNode *node;
+ gint height;
+
+ g_return_val_if_fail(tree != NULL, 0);
+
+ if (!tree->root) {
+ return 0;
+ }
+
+ height = 0;
+ node = tree->root;
+
+ while (1) {
+ height += 1 + MAX(node->balance, 0);
+
+ if (!node->left_child) {
+ return height;
+ }
+
+ node = node->left;
+ }
+}
+
+/**
+ * q_tree_nnodes:
+ * @tree: a #QTree
+ *
+ * Gets the number of nodes in a #QTree.
+ *
+ * Returns: the number of nodes in @tree
+ */
+gint
+q_tree_nnodes(QTree *tree)
+{
+ g_return_val_if_fail(tree != NULL, 0);
+
+ return tree->nnodes;
+}
+
+static QTreeNode *
+q_tree_node_balance(QTreeNode *node)
+{
+ if (node->balance < -1) {
+ if (node->left->balance > 0) {
+ node->left = q_tree_node_rotate_left(node->left);
+ }
+ node = q_tree_node_rotate_right(node);
+ } else if (node->balance > 1) {
+ if (node->right->balance < 0) {
+ node->right = q_tree_node_rotate_right(node->right);
+ }
+ node = q_tree_node_rotate_left(node);
+ }
+
+ return node;
+}
+
+static QTreeNode *
+q_tree_find_node(QTree *tree,
+ gconstpointer key)
+{
+ QTreeNode *node;
+ gint cmp;
+
+ node = tree->root;
+ if (!node) {
+ return NULL;
+ }
+
+ while (1) {
+ cmp = tree->key_compare(key, node->key, tree->key_compare_data);
+ if (cmp == 0) {
+ return node;
+ } else if (cmp < 0) {
+ if (!node->left_child) {
+ return NULL;
+ }
+
+ node = node->left;
+ } else {
+ if (!node->right_child) {
+ return NULL;
+ }
+
+ node = node->right;
+ }
+ }
+}
+
+static QTreeNode *
+q_tree_node_search(QTreeNode *node,
+ GCompareFunc search_func,
+ gconstpointer data)
+{
+ gint dir;
+
+ if (!node) {
+ return NULL;
+ }
+
+ while (1) {
+ dir = (*search_func)(node->key, data);
+ if (dir == 0) {
+ return node;
+ } else if (dir < 0) {
+ if (!node->left_child) {
+ return NULL;
+ }
+
+ node = node->left;
+ } else {
+ if (!node->right_child) {
+ return NULL;
+ }
+
+ node = node->right;
+ }
+ }
+}
+
+static QTreeNode *
+q_tree_node_rotate_left(QTreeNode *node)
+{
+ QTreeNode *right;
+ gint a_bal;
+ gint b_bal;
+
+ right = node->right;
+
+ if (right->left_child) {
+ node->right = right->left;
+ } else {
+ node->right_child = FALSE;
+ right->left_child = TRUE;
+ }
+ right->left = node;
+
+ a_bal = node->balance;
+ b_bal = right->balance;
+
+ if (b_bal <= 0) {
+ if (a_bal >= 1) {
+ right->balance = b_bal - 1;
+ } else {
+ right->balance = a_bal + b_bal - 2;
+ }
+ node->balance = a_bal - 1;
+ } else {
+ if (a_bal <= b_bal) {
+ right->balance = a_bal - 2;
+ } else {
+ right->balance = b_bal - 1;
+ }
+ node->balance = a_bal - b_bal - 1;
+ }
+
+ return right;
+}
+
+static QTreeNode *
+q_tree_node_rotate_right(QTreeNode *node)
+{
+ QTreeNode *left;
+ gint a_bal;
+ gint b_bal;
+
+ left = node->left;
+
+ if (left->right_child) {
+ node->left = left->right;
+ } else {
+ node->left_child = FALSE;
+ left->right_child = TRUE;
+ }
+ left->right = node;
+
+ a_bal = node->balance;
+ b_bal = left->balance;
+
+ if (b_bal <= 0) {
+ if (b_bal > a_bal) {
+ left->balance = b_bal + 1;
+ } else {
+ left->balance = a_bal + 2;
+ }
+ node->balance = a_bal - b_bal + 1;
+ } else {
+ if (a_bal <= -1) {
+ left->balance = b_bal + 1;
+ } else {
+ left->balance = a_bal + b_bal + 2;
+ }
+ node->balance = a_bal + 1;
+ }
+
+ return left;
+}
+
+#ifdef Q_TREE_DEBUG
+static gint
+q_tree_node_height(QTreeNode *node)
+{
+ gint left_height;
+ gint right_height;
+
+ if (node) {
+ left_height = 0;
+ right_height = 0;
+
+ if (node->left_child) {
+ left_height = q_tree_node_height(node->left);
+ }
+
+ if (node->right_child) {
+ right_height = q_tree_node_height(node->right);
+ }
+
+ return MAX(left_height, right_height) + 1;
+ }
+
+ return 0;
+}
+
+static void q_tree_node_check(QTreeNode *node)
+{
+ gint left_height;
+ gint right_height;
+ gint balance;
+ QTreeNode *tmp;
+
+ if (node) {
+ if (node->left_child) {
+ tmp = q_tree_node_previous(node);
+ g_assert(tmp->right == node);
+ }
+
+ if (node->right_child) {
+ tmp = q_tree_node_next(node);
+ g_assert(tmp->left == node);
+ }
+
+ left_height = 0;
+ right_height = 0;
+
+ if (node->left_child) {
+ left_height = q_tree_node_height(node->left);
+ }
+ if (node->right_child) {
+ right_height = q_tree_node_height(node->right);
+ }
+
+ balance = right_height - left_height;
+ g_assert(balance == node->balance);
+
+ if (node->left_child) {
+ q_tree_node_check(node->left);
+ }
+ if (node->right_child) {
+ q_tree_node_check(node->right);
+ }
+ }
+}
+#endif