xref: /netbsd/sys/sys/rbtree.h (revision 6e41677b)
1 /*	$NetBSD: rbtree.h,v 1.8 2023/07/21 11:26:23 riastradh Exp $	*/
2 
3 /*-
4  * Copyright (c) 2001 The NetBSD Foundation, Inc.
5  * All rights reserved.
6  *
7  * This code is derived from software contributed to The NetBSD Foundation
8  * by Matt Thomas <matt@3am-software.com>.
9  *
10  * Redistribution and use in source and binary forms, with or without
11  * modification, are permitted provided that the following conditions
12  * are met:
13  * 1. Redistributions of source code must retain the above copyright
14  *    notice, this list of conditions and the following disclaimer.
15  * 2. Redistributions in binary form must reproduce the above copyright
16  *    notice, this list of conditions and the following disclaimer in the
17  *    documentation and/or other materials provided with the distribution.
18  *
19  * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
20  * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
21  * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
22  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
23  * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
24  * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
25  * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
26  * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
27  * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
28  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
29  * POSSIBILITY OF SUCH DAMAGE.
30  */
31 
32 #ifndef _SYS_RBTREE_H_
33 #define	_SYS_RBTREE_H_
34 
35 #if defined(_KERNEL) || defined(_STANDALONE)
36 #include <sys/types.h>
37 #else
38 #include <stdbool.h>
39 #include <inttypes.h>
40 #endif
41 #include <sys/queue.h>
42 #include <sys/endian.h>
43 
44 __BEGIN_DECLS
45 
46 typedef struct rb_node {
47 	struct rb_node *rb_nodes[2];
48 #define	RB_DIR_LEFT		0
49 #define	RB_DIR_RIGHT		1
50 #define	RB_DIR_OTHER		1
51 #define	rb_left			rb_nodes[RB_DIR_LEFT]
52 #define	rb_right		rb_nodes[RB_DIR_RIGHT]
53 
54 	/*
55 	 * rb_info contains the two flags and the parent back pointer.
56 	 * We put the two flags in the low two bits since we know that
57 	 * rb_node will have an alignment of 4 or 8 bytes.
58 	 */
59 	uintptr_t rb_info;
60 #define	RB_FLAG_POSITION	(uintptr_t)0x2
61 #define	RB_FLAG_RED		(uintptr_t)0x1
62 #define	RB_FLAG_MASK		(RB_FLAG_POSITION|RB_FLAG_RED)
63 #define	RB_FATHER(rb) \
64     ((struct rb_node *)((rb)->rb_info & ~RB_FLAG_MASK))
65 #define	RB_SET_FATHER(rb, father) \
66     ((void)((rb)->rb_info = (uintptr_t)(father)|((rb)->rb_info & RB_FLAG_MASK)))
67 
68 #define	RB_SENTINEL_P(rb)	((rb) == NULL)
69 #define	RB_LEFT_SENTINEL_P(rb)	RB_SENTINEL_P((rb)->rb_left)
70 #define	RB_RIGHT_SENTINEL_P(rb)	RB_SENTINEL_P((rb)->rb_right)
71 #define	RB_FATHER_SENTINEL_P(rb) RB_SENTINEL_P(RB_FATHER((rb)))
72 #define	RB_CHILDLESS_P(rb) \
73     (RB_SENTINEL_P(rb) || (RB_LEFT_SENTINEL_P(rb) && RB_RIGHT_SENTINEL_P(rb)))
74 #define	RB_TWOCHILDREN_P(rb) \
75     (!RB_SENTINEL_P(rb) && !RB_LEFT_SENTINEL_P(rb) && !RB_RIGHT_SENTINEL_P(rb))
76 
77 #define	RB_POSITION(rb)	\
78     (((rb)->rb_info & RB_FLAG_POSITION) ? RB_DIR_RIGHT : RB_DIR_LEFT)
79 #define	RB_RIGHT_P(rb)		(RB_POSITION(rb) == RB_DIR_RIGHT)
80 #define	RB_LEFT_P(rb)		(RB_POSITION(rb) == RB_DIR_LEFT)
81 #define	RB_RED_P(rb) 		(!RB_SENTINEL_P(rb) && ((rb)->rb_info & RB_FLAG_RED) != 0)
82 #define	RB_BLACK_P(rb) 		(RB_SENTINEL_P(rb) || ((rb)->rb_info & RB_FLAG_RED) == 0)
83 #define	RB_MARK_RED(rb) 	((void)((rb)->rb_info |= RB_FLAG_RED))
84 #define	RB_MARK_BLACK(rb) 	((void)((rb)->rb_info &= ~RB_FLAG_RED))
85 #define	RB_INVERT_COLOR(rb) 	((void)((rb)->rb_info ^= RB_FLAG_RED))
86 #define	RB_ROOT_P(rbt, rb)	((rbt)->rbt_root == (rb))
87 #define	RB_SET_POSITION(rb, position) \
88     ((void)((position) ? ((rb)->rb_info |= RB_FLAG_POSITION) : \
89     ((rb)->rb_info &= ~RB_FLAG_POSITION)))
90 #define	RB_ZERO_PROPERTIES(rb)	((void)((rb)->rb_info &= ~RB_FLAG_MASK))
91 #define	RB_COPY_PROPERTIES(dst, src) \
92     ((void)((dst)->rb_info ^= ((dst)->rb_info ^ (src)->rb_info) & RB_FLAG_MASK))
93 #define RB_SWAP_PROPERTIES(a, b) do { \
94     uintptr_t xorinfo = ((a)->rb_info ^ (b)->rb_info) & RB_FLAG_MASK; \
95     (a)->rb_info ^= xorinfo; \
96     (b)->rb_info ^= xorinfo; \
97   } while (/*CONSTCOND*/ 0)
98 #ifdef RBDEBUG
99 	TAILQ_ENTRY(rb_node) rb_link;
100 #endif
101 } rb_node_t;
102 
103 #define RB_TREE_MIN(T) rb_tree_iterate((T), NULL, RB_DIR_LEFT)
104 #define RB_TREE_MAX(T) rb_tree_iterate((T), NULL, RB_DIR_RIGHT)
105 #define RB_TREE_NEXT(T, N) rb_tree_iterate((T), (N), RB_DIR_RIGHT)
106 #define RB_TREE_PREV(T, N) rb_tree_iterate((T), (N), RB_DIR_LEFT)
107 #define RB_TREE_FOREACH(N, T) \
108     for ((N) = RB_TREE_MIN(T); (N); (N) = RB_TREE_NEXT((T), (N)))
109 #define RB_TREE_FOREACH_REVERSE(N, T) \
110     for ((N) = RB_TREE_MAX(T); (N); (N) = RB_TREE_PREV((T), (N)))
111 #define RB_TREE_FOREACH_SAFE(N, T, S) \
112     for ((N) = RB_TREE_MIN(T); \
113         (N) && ((S) = RB_TREE_NEXT((T), (N)), 1); \
114         (N) = (S))
115 #define RB_TREE_FOREACH_REVERSE_SAFE(N, T, S) \
116     for ((N) = RB_TREE_MAX(T); \
117         (N) && ((S) = RB_TREE_PREV((T), (N)), 1); \
118         (N) = (S))
119 
120 #ifdef RBDEBUG
121 TAILQ_HEAD(rb_node_qh, rb_node);
122 
123 #define	RB_TAILQ_REMOVE(a, b, c)		TAILQ_REMOVE(a, b, c)
124 #define	RB_TAILQ_INIT(a)			TAILQ_INIT(a)
125 #define	RB_TAILQ_INSERT_HEAD(a, b, c)		TAILQ_INSERT_HEAD(a, b, c)
126 #define	RB_TAILQ_INSERT_BEFORE(a, b, c)		TAILQ_INSERT_BEFORE(a, b, c)
127 #define	RB_TAILQ_INSERT_AFTER(a, b, c, d)	TAILQ_INSERT_AFTER(a, b, c, d)
128 
129 #define	RBDEBUG_TREE_INITIALIZER(t)					      \
130 	.rbt_nodes = TAILQ_HEAD_INITIALIZER((t).rbt_nodes),
131 #else
132 #define	RB_TAILQ_REMOVE(a, b, c)		do { } while (/*CONSTCOND*/0)
133 #define	RB_TAILQ_INIT(a)			do { } while (/*CONSTCOND*/0)
134 #define	RB_TAILQ_INSERT_HEAD(a, b, c)		do { } while (/*CONSTCOND*/0)
135 #define	RB_TAILQ_INSERT_BEFORE(a, b, c)		do { } while (/*CONSTCOND*/0)
136 #define	RB_TAILQ_INSERT_AFTER(a, b, c, d)	do { } while (/*CONSTCOND*/0)
137 
138 #define	RBDEBUG_TREE_INITIALIZER(t)		/* nothing */
139 #endif /* RBDEBUG */
140 
141 /*
142  * rbto_compare_nodes_fn:
143  *	return a positive value if the first node > the second node.
144  *	return a negative value if the first node < the second node.
145  *	return 0 if they are considered same.
146  *
147  * rbto_compare_key_fn:
148  *	return a positive value if the node > the key.
149  *	return a negative value if the node < the key.
150  *	return 0 if they are considered same.
151  */
152 
153 typedef signed int (*rbto_compare_nodes_fn)(void *, const void *, const void *);
154 typedef signed int (*rbto_compare_key_fn)(void *, const void *, const void *);
155 
156 typedef struct {
157 	rbto_compare_nodes_fn rbto_compare_nodes;
158 	rbto_compare_key_fn rbto_compare_key;
159 	size_t rbto_node_offset;
160 	void *rbto_context;
161 } rb_tree_ops_t;
162 
163 typedef struct rb_tree {
164 	struct rb_node *rbt_root;
165 	const rb_tree_ops_t *rbt_ops;
166 	struct rb_node *rbt_minmax[2];
167 #ifdef RBDEBUG
168 	struct rb_node_qh rbt_nodes;
169 #endif
170 #ifdef RBSTATS
171 	unsigned int rbt_count;
172 	unsigned int rbt_insertions;
173 	unsigned int rbt_removals;
174 	unsigned int rbt_insertion_rebalance_calls;
175 	unsigned int rbt_insertion_rebalance_passes;
176 	unsigned int rbt_removal_rebalance_calls;
177 	unsigned int rbt_removal_rebalance_passes;
178 #endif
179 } rb_tree_t;
180 
181 #ifdef RBSTATS
182 #define	RBSTAT_INC(v)	((void)((v)++))
183 #define	RBSTAT_DEC(v)	((void)((v)--))
184 #else
185 #define	RBSTAT_INC(v)	do { } while (/*CONSTCOND*/0)
186 #define	RBSTAT_DEC(v)	do { } while (/*CONSTCOND*/0)
187 #endif
188 
189 #define	RB_TREE_INIT_TYPECHECK(t)					      \
190 	0*sizeof(&(t) - (struct rb_tree *)0)
191 
192 #define	RB_TREE_INITIALIZER(t, ops)					      \
193 {									      \
194 	.rbt_ops = (ops) + RB_TREE_INIT_TYPECHECK(t),			      \
195 	RBDEBUG_TREE_INITIALIZER(t)					      \
196 }
197 
198 void	rb_tree_init(rb_tree_t *, const rb_tree_ops_t *);
199 void *	rb_tree_insert_node(rb_tree_t *, void *);
200 void *	rb_tree_find_node(rb_tree_t *, const void *);
201 void *	rb_tree_find_node_geq(rb_tree_t *, const void *);
202 void *	rb_tree_find_node_leq(rb_tree_t *, const void *);
203 void	rb_tree_remove_node(rb_tree_t *, void *);
204 void *	rb_tree_iterate(rb_tree_t *, void *, const unsigned int);
205 #ifdef RBDEBUG
206 void	rb_tree_check(const rb_tree_t *, bool);
207 #endif
208 #ifdef RBSTATS
209 void	rb_tree_depths(const rb_tree_t *, size_t *);
210 #endif
211 
212 __END_DECLS
213 
214 #endif	/* _SYS_RBTREE_H_*/
215