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      1 /*
      2  * CDDL HEADER START
      3  *
      4  * The contents of this file are subject to the terms of the
      5  * Common Development and Distribution License (the "License").
      6  * You may not use this file except in compliance with the License.
      7  *
      8  * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
      9  * or http://www.opensolaris.org/os/licensing.
     10  * See the License for the specific language governing permissions
     11  * and limitations under the License.
     12  *
     13  * When distributing Covered Code, include this CDDL HEADER in each
     14  * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
     15  * If applicable, add the following below this CDDL HEADER, with the
     16  * fields enclosed by brackets "[]" replaced with your own identifying
     17  * information: Portions Copyright [yyyy] [name of copyright owner]
     18  *
     19  * CDDL HEADER END
     20  */
     21 /*
     22  * Copyright 2009 Sun Microsystems, Inc.  All rights reserved.
     23  * Use is subject to license terms.
     24  */
     25 
     26 /*
     27  * Copyright (c) 2014 by Delphix. All rights reserved.
     28  */
     29 
     30 #ifndef	_AVL_H
     31 #define	_AVL_H
     32 
     33 /*
     34  * This is a private header file.  Applications should not directly include
     35  * this file.
     36  */
     37 
     38 #ifdef	__cplusplus
     39 extern "C" {
     40 #endif
     41 
     42 #include <sys/types.h>
     43 #include <sys/avl_impl.h>
     44 
     45 /*
     46  * This is a generic implementation of AVL trees for use in the Solaris kernel.
     47  * The interfaces provide an efficient way of implementing an ordered set of
     48  * data structures.
     49  *
     50  * AVL trees provide an alternative to using an ordered linked list. Using AVL
     51  * trees will usually be faster, however they requires more storage. An ordered
     52  * linked list in general requires 2 pointers in each data structure. The
     53  * AVL tree implementation uses 3 pointers. The following chart gives the
     54  * approximate performance of operations with the different approaches:
     55  *
     56  *	Operation	 Link List	AVL tree
     57  *	---------	 --------	--------
     58  *	lookup		   O(n)		O(log(n))
     59  *
     60  *	insert 1 node	 constant	constant
     61  *
     62  *	delete 1 node	 constant	between constant and O(log(n))
     63  *
     64  *	delete all nodes   O(n)		O(n)
     65  *
     66  *	visit the next
     67  *	or prev node	 constant	between constant and O(log(n))
     68  *
     69  *
     70  * The data structure nodes are anchored at an "avl_tree_t" (the equivalent
     71  * of a list header) and the individual nodes will have a field of
     72  * type "avl_node_t" (corresponding to list pointers).
     73  *
     74  * The type "avl_index_t" is used to indicate a position in the list for
     75  * certain calls.
     76  *
     77  * The usage scenario is generally:
     78  *
     79  * 1. Create the list/tree with: avl_create()
     80  *
     81  * followed by any mixture of:
     82  *
     83  * 2a. Insert nodes with: avl_add(), or avl_find() and avl_insert()
     84  *
     85  * 2b. Visited elements with:
     86  *	 avl_first() - returns the lowest valued node
     87  *	 avl_last() - returns the highest valued node
     88  *	 AVL_NEXT() - given a node go to next higher one
     89  *	 AVL_PREV() - given a node go to previous lower one
     90  *
     91  * 2c.  Find the node with the closest value either less than or greater
     92  *	than a given value with avl_nearest().
     93  *
     94  * 2d. Remove individual nodes from the list/tree with avl_remove().
     95  *
     96  * and finally when the list is being destroyed
     97  *
     98  * 3. Use avl_destroy_nodes() to quickly process/free up any remaining nodes.
     99  *    Note that once you use avl_destroy_nodes(), you can no longer
    100  *    use any routine except avl_destroy_nodes() and avl_destoy().
    101  *
    102  * 4. Use avl_destroy() to destroy the AVL tree itself.
    103  *
    104  * Any locking for multiple thread access is up to the user to provide, just
    105  * as is needed for any linked list implementation.
    106  */
    107 
    108 
    109 /*
    110  * Type used for the root of the AVL tree.
    111  */
    112 typedef struct avl_tree avl_tree_t;
    113 
    114 /*
    115  * The data nodes in the AVL tree must have a field of this type.
    116  */
    117 typedef struct avl_node avl_node_t;
    118 
    119 /*
    120  * An opaque type used to locate a position in the tree where a node
    121  * would be inserted.
    122  */
    123 typedef uintptr_t avl_index_t;
    124 
    125 
    126 /*
    127  * Direction constants used for avl_nearest().
    128  */
    129 #define	AVL_BEFORE	(0)
    130 #define	AVL_AFTER	(1)
    131 
    132 
    133 /*
    134  * Prototypes
    135  *
    136  * Where not otherwise mentioned, "void *" arguments are a pointer to the
    137  * user data structure which must contain a field of type avl_node_t.
    138  *
    139  * Also assume the user data structures looks like:
    140  *	stuct my_type {
    141  *		...
    142  *		avl_node_t	my_link;
    143  *		...
    144  *	};
    145  */
    146 
    147 /*
    148  * Initialize an AVL tree. Arguments are:
    149  *
    150  * tree   - the tree to be initialized
    151  * compar - function to compare two nodes, it must return exactly: -1, 0, or +1
    152  *          -1 for <, 0 for ==, and +1 for >
    153  * size   - the value of sizeof(struct my_type)
    154  * offset - the value of OFFSETOF(struct my_type, my_link)
    155  */
    156 extern void avl_create(avl_tree_t *tree,
    157 	int (*compar) (const void *, const void *), size_t size, size_t offset);
    158 
    159 
    160 /*
    161  * Find a node with a matching value in the tree. Returns the matching node
    162  * found. If not found, it returns NULL and then if "where" is not NULL it sets
    163  * "where" for use with avl_insert() or avl_nearest().
    164  *
    165  * node   - node that has the value being looked for
    166  * where  - position for use with avl_nearest() or avl_insert(), may be NULL
    167  */
    168 extern void *avl_find(avl_tree_t *tree, const void *node, avl_index_t *where);
    169 
    170 /*
    171  * Insert a node into the tree.
    172  *
    173  * node   - the node to insert
    174  * where  - position as returned from avl_find()
    175  */
    176 extern void avl_insert(avl_tree_t *tree, void *node, avl_index_t where);
    177 
    178 /*
    179  * Insert "new_data" in "tree" in the given "direction" either after
    180  * or before the data "here".
    181  *
    182  * This might be useful for avl clients caching recently accessed
    183  * data to avoid doing avl_find() again for insertion.
    184  *
    185  * new_data	- new data to insert
    186  * here		- existing node in "tree"
    187  * direction	- either AVL_AFTER or AVL_BEFORE the data "here".
    188  */
    189 extern void avl_insert_here(avl_tree_t *tree, void *new_data, void *here,
    190     int direction);
    191 
    192 
    193 /*
    194  * Return the first or last valued node in the tree. Will return NULL
    195  * if the tree is empty.
    196  *
    197  */
    198 extern void *avl_first(avl_tree_t *tree);
    199 extern void *avl_last(avl_tree_t *tree);
    200 
    201 
    202 /*
    203  * Return the next or previous valued node in the tree.
    204  * AVL_NEXT() will return NULL if at the last node.
    205  * AVL_PREV() will return NULL if at the first node.
    206  *
    207  * node   - the node from which the next or previous node is found
    208  */
    209 #define	AVL_NEXT(tree, node)	avl_walk(tree, node, AVL_AFTER)
    210 #define	AVL_PREV(tree, node)	avl_walk(tree, node, AVL_BEFORE)
    211 
    212 
    213 /*
    214  * Find the node with the nearest value either greater or less than
    215  * the value from a previous avl_find(). Returns the node or NULL if
    216  * there isn't a matching one.
    217  *
    218  * where     - position as returned from avl_find()
    219  * direction - either AVL_BEFORE or AVL_AFTER
    220  *
    221  * EXAMPLE get the greatest node that is less than a given value:
    222  *
    223  *	avl_tree_t *tree;
    224  *	struct my_data look_for_value = {....};
    225  *	struct my_data *node;
    226  *	struct my_data *less;
    227  *	avl_index_t where;
    228  *
    229  *	node = avl_find(tree, &look_for_value, &where);
    230  *	if (node != NULL)
    231  *		less = AVL_PREV(tree, node);
    232  *	else
    233  *		less = avl_nearest(tree, where, AVL_BEFORE);
    234  */
    235 extern void *avl_nearest(avl_tree_t *tree, avl_index_t where, int direction);
    236 
    237 
    238 /*
    239  * Add a single node to the tree.
    240  * The node must not be in the tree, and it must not
    241  * compare equal to any other node already in the tree.
    242  *
    243  * node   - the node to add
    244  */
    245 extern void avl_add(avl_tree_t *tree, void *node);
    246 
    247 
    248 /*
    249  * Remove a single node from the tree.  The node must be in the tree.
    250  *
    251  * node   - the node to remove
    252  */
    253 extern void avl_remove(avl_tree_t *tree, void *node);
    254 
    255 /*
    256  * Reinsert a node only if its order has changed relative to its nearest
    257  * neighbors. To optimize performance avl_update_lt() checks only the previous
    258  * node and avl_update_gt() checks only the next node. Use avl_update_lt() and
    259  * avl_update_gt() only if you know the direction in which the order of the
    260  * node may change.
    261  */
    262 extern boolean_t avl_update(avl_tree_t *, void *);
    263 extern boolean_t avl_update_lt(avl_tree_t *, void *);
    264 extern boolean_t avl_update_gt(avl_tree_t *, void *);
    265 
    266 /*
    267  * Swaps the contents of the two trees.
    268  */
    269 extern void avl_swap(avl_tree_t *tree1, avl_tree_t *tree2);
    270 
    271 /*
    272  * Return the number of nodes in the tree
    273  */
    274 extern ulong_t avl_numnodes(avl_tree_t *tree);
    275 
    276 /*
    277  * Return B_TRUE if there are zero nodes in the tree, B_FALSE otherwise.
    278  */
    279 extern boolean_t avl_is_empty(avl_tree_t *tree);
    280 
    281 /*
    282  * Used to destroy any remaining nodes in a tree. The cookie argument should
    283  * be initialized to NULL before the first call. Returns a node that has been
    284  * removed from the tree and may be free()'d. Returns NULL when the tree is
    285  * empty.
    286  *
    287  * Once you call avl_destroy_nodes(), you can only continuing calling it and
    288  * finally avl_destroy(). No other AVL routines will be valid.
    289  *
    290  * cookie - a "void *" used to save state between calls to avl_destroy_nodes()
    291  *
    292  * EXAMPLE:
    293  *	avl_tree_t *tree;
    294  *	struct my_data *node;
    295  *	void *cookie;
    296  *
    297  *	cookie = NULL;
    298  *	while ((node = avl_destroy_nodes(tree, &cookie)) != NULL)
    299  *		free(node);
    300  *	avl_destroy(tree);
    301  */
    302 extern void *avl_destroy_nodes(avl_tree_t *tree, void **cookie);
    303 
    304 
    305 /*
    306  * Final destroy of an AVL tree. Arguments are:
    307  *
    308  * tree   - the empty tree to destroy
    309  */
    310 extern void avl_destroy(avl_tree_t *tree);
    311 
    312 
    313 
    314 #ifdef	__cplusplus
    315 }
    316 #endif
    317 
    318 #endif	/* _AVL_H */
    319