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      1 /*	$NetBSD: rbtree.h,v 1.13 2025/10/22 12:34:00 roy 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 (at) 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 #include <sys/types.h>
     36 
     37 #ifdef RBDEBUG
     38 #include <sys/queue.h>
     39 #if !defined(_KERNEL) && !defined(_STANDALONE)
     40 #include <stdbool.h>
     41 #endif
     42 #endif
     43 
     44 #ifdef __BEGIN_DECLS
     45 __BEGIN_DECLS
     46 #endif
     47 
     48 typedef struct rb_node {
     49 	struct rb_node *rb_nodes[2];
     50 #define	RB_DIR_LEFT		0
     51 #define	RB_DIR_RIGHT		1
     52 #define	RB_DIR_OTHER		1
     53 #define	rb_left			rb_nodes[RB_DIR_LEFT]
     54 #define	rb_right		rb_nodes[RB_DIR_RIGHT]
     55 
     56 	/*
     57 	 * rb_info contains the two flags and the parent back pointer.
     58 	 * We put the two flags in the low two bits since we know that
     59 	 * rb_node will have an alignment of 4 or 8 bytes.
     60 	 */
     61 	uintptr_t rb_info;
     62 #define	RB_FLAG_POSITION	(uintptr_t)0x2
     63 #define	RB_FLAG_RED		(uintptr_t)0x1
     64 #define	RB_FLAG_MASK		(RB_FLAG_POSITION|RB_FLAG_RED)
     65 #define	RB_FATHER(rb) \
     66     ((struct rb_node *)((rb)->rb_info & ~RB_FLAG_MASK))
     67 #define	RB_SET_FATHER(rb, father) \
     68     ((void)((rb)->rb_info = (uintptr_t)(father)|((rb)->rb_info & RB_FLAG_MASK)))
     69 
     70 #define	RB_SENTINEL_P(rb)	((rb) == NULL)
     71 #define	RB_LEFT_SENTINEL_P(rb)	RB_SENTINEL_P((rb)->rb_left)
     72 #define	RB_RIGHT_SENTINEL_P(rb)	RB_SENTINEL_P((rb)->rb_right)
     73 #define	RB_FATHER_SENTINEL_P(rb) RB_SENTINEL_P(RB_FATHER((rb)))
     74 #define	RB_CHILDLESS_P(rb) \
     75     (RB_SENTINEL_P(rb) || (RB_LEFT_SENTINEL_P(rb) && RB_RIGHT_SENTINEL_P(rb)))
     76 #define	RB_TWOCHILDREN_P(rb) \
     77     (!RB_SENTINEL_P(rb) && !RB_LEFT_SENTINEL_P(rb) && !RB_RIGHT_SENTINEL_P(rb))
     78 
     79 #define	RB_POSITION(rb)	\
     80     (((rb)->rb_info & RB_FLAG_POSITION) ? RB_DIR_RIGHT : RB_DIR_LEFT)
     81 #define	RB_RIGHT_P(rb)		(RB_POSITION(rb) == RB_DIR_RIGHT)
     82 #define	RB_LEFT_P(rb)		(RB_POSITION(rb) == RB_DIR_LEFT)
     83 #define	RB_RED_P(rb) 		(!RB_SENTINEL_P(rb) && ((rb)->rb_info & RB_FLAG_RED) != 0)
     84 #define	RB_BLACK_P(rb) 		(RB_SENTINEL_P(rb) || ((rb)->rb_info & RB_FLAG_RED) == 0)
     85 #define	RB_MARK_RED(rb) 	((void)((rb)->rb_info |= RB_FLAG_RED))
     86 #define	RB_MARK_BLACK(rb) 	((void)((rb)->rb_info &= ~RB_FLAG_RED))
     87 #define	RB_INVERT_COLOR(rb) 	((void)((rb)->rb_info ^= RB_FLAG_RED))
     88 #define	RB_ROOT_P(rbt, rb)	((rbt)->rbt_root == (rb))
     89 #define	RB_SET_POSITION(rb, position) \
     90     ((void)((position) ? ((rb)->rb_info |= RB_FLAG_POSITION) : \
     91     ((rb)->rb_info &= ~RB_FLAG_POSITION)))
     92 #define	RB_ZERO_PROPERTIES(rb)	((void)((rb)->rb_info &= ~RB_FLAG_MASK))
     93 #define	RB_COPY_PROPERTIES(dst, src) \
     94     ((void)((dst)->rb_info ^= ((dst)->rb_info ^ (src)->rb_info) & RB_FLAG_MASK))
     95 #define RB_SWAP_PROPERTIES(a, b) do { \
     96     uintptr_t xorinfo = ((a)->rb_info ^ (b)->rb_info) & RB_FLAG_MASK; \
     97     (a)->rb_info ^= xorinfo; \
     98     (b)->rb_info ^= xorinfo; \
     99   } while (0)
    100 #ifdef RBDEBUG
    101 	TAILQ_ENTRY(rb_node) rb_link;
    102 #endif
    103 } rb_node_t;
    104 
    105 #define RB_TREE_MIN(T) rb_tree_iterate((T), NULL, RB_DIR_LEFT)
    106 #define RB_TREE_MAX(T) rb_tree_iterate((T), NULL, RB_DIR_RIGHT)
    107 #define RB_TREE_NEXT(T, N) rb_tree_iterate((T), (N), RB_DIR_RIGHT)
    108 #define RB_TREE_PREV(T, N) rb_tree_iterate((T), (N), RB_DIR_LEFT)
    109 #define RB_TREE_FOREACH(N, T) \
    110     for ((N) = RB_TREE_MIN(T); (N); (N) = RB_TREE_NEXT((T), (N)))
    111 #define RB_TREE_FOREACH_REVERSE(N, T) \
    112     for ((N) = RB_TREE_MAX(T); (N); (N) = RB_TREE_PREV((T), (N)))
    113 #define RB_TREE_FOREACH_SAFE(N, T, S) \
    114     for ((N) = RB_TREE_MIN(T); \
    115         (N) && ((S) = RB_TREE_NEXT((T), (N)), 1); \
    116         (N) = (S))
    117 #define RB_TREE_FOREACH_REVERSE_SAFE(N, T, S) \
    118     for ((N) = RB_TREE_MAX(T); \
    119         (N) && ((S) = RB_TREE_PREV((T), (N)), 1); \
    120         (N) = (S))
    121 
    122 #ifdef RBDEBUG
    123 TAILQ_HEAD(rb_node_qh, rb_node);
    124 
    125 #define	RB_TAILQ_REMOVE(a, b, c)		TAILQ_REMOVE(a, b, c)
    126 #define	RB_TAILQ_INIT(a)			TAILQ_INIT(a)
    127 #define	RB_TAILQ_INSERT_HEAD(a, b, c)		TAILQ_INSERT_HEAD(a, b, c)
    128 #define	RB_TAILQ_INSERT_BEFORE(a, b, c)		TAILQ_INSERT_BEFORE(a, b, c)
    129 #define	RB_TAILQ_INSERT_AFTER(a, b, c, d)	TAILQ_INSERT_AFTER(a, b, c, d)
    130 
    131 #define	RBDEBUG_TREE_INITIALIZER(t)					      \
    132 	.rbt_nodes = TAILQ_HEAD_INITIALIZER((t).rbt_nodes),
    133 #else
    134 #define	RB_TAILQ_REMOVE(a, b, c)		do { } while (0)
    135 #define	RB_TAILQ_INIT(a)			do { } while (0)
    136 #define	RB_TAILQ_INSERT_HEAD(a, b, c)		do { } while (0)
    137 #define	RB_TAILQ_INSERT_BEFORE(a, b, c)		do { } while (0)
    138 #define	RB_TAILQ_INSERT_AFTER(a, b, c, d)	do { } while (0)
    139 
    140 #define	RBDEBUG_TREE_INITIALIZER(t)		/* nothing */
    141 #endif /* RBDEBUG */
    142 
    143 /*
    144  * rbto_compare_nodes_fn:
    145  *	return a positive value if the first node > the second node.
    146  *	return a negative value if the first node < the second node.
    147  *	return 0 if they are considered same.
    148  *
    149  * rbto_compare_key_fn:
    150  *	return a positive value if the node > the key.
    151  *	return a negative value if the node < the key.
    152  *	return 0 if they are considered same.
    153  */
    154 
    155 typedef signed int (*rbto_compare_nodes_fn)(void *, const void *, const void *);
    156 typedef signed int (*rbto_compare_key_fn)(void *, const void *, const void *);
    157 
    158 typedef struct {
    159 	rbto_compare_nodes_fn rbto_compare_nodes;
    160 	rbto_compare_key_fn rbto_compare_key;
    161 	size_t rbto_node_offset;
    162 	void *rbto_context;
    163 } rb_tree_ops_t;
    164 
    165 typedef struct rb_tree {
    166 	struct rb_node *rbt_root;
    167 	const rb_tree_ops_t *rbt_ops;
    168 	struct rb_node *rbt_minmax[2];
    169 #ifdef RBDEBUG
    170 	struct rb_node_qh rbt_nodes;
    171 #endif
    172 #ifdef RBSTATS
    173 	unsigned int rbt_count;
    174 	unsigned int rbt_insertions;
    175 	unsigned int rbt_removals;
    176 	unsigned int rbt_insertion_rebalance_calls;
    177 	unsigned int rbt_insertion_rebalance_passes;
    178 	unsigned int rbt_removal_rebalance_calls;
    179 	unsigned int rbt_removal_rebalance_passes;
    180 #endif
    181 } rb_tree_t;
    182 
    183 #ifdef RBSTATS
    184 #define	RBSTAT_INC(v)	((void)((v)++))
    185 #define	RBSTAT_DEC(v)	((void)((v)--))
    186 #else
    187 #define	RBSTAT_INC(v)	do { } while (0)
    188 #define	RBSTAT_DEC(v)	do { } while (0)
    189 #endif
    190 
    191 #define	RB_TREE_INIT_TYPECHECK(t)					      \
    192 	0*sizeof(&(t) - (struct rb_tree *)0)
    193 
    194 #define	RB_TREE_INITIALIZER(t, ops)					      \
    195 {									      \
    196 	.rbt_ops = (ops) + RB_TREE_INIT_TYPECHECK(t),			      \
    197 	RBDEBUG_TREE_INITIALIZER(t)					      \
    198 }
    199 
    200 void	rb_tree_init(rb_tree_t *, const rb_tree_ops_t *);
    201 void *	rb_tree_insert_node(rb_tree_t *, void *);
    202 void *	rb_tree_find_node(rb_tree_t *, const void *);
    203 void *	rb_tree_find_node_geq(rb_tree_t *, const void *);
    204 void *	rb_tree_find_node_leq(rb_tree_t *, const void *);
    205 void	rb_tree_remove_node(rb_tree_t *, void *);
    206 void *	rb_tree_iterate(rb_tree_t *, void *, const unsigned int);
    207 #ifdef RBDEBUG
    208 void	rb_tree_check(const rb_tree_t *, bool);
    209 #endif
    210 #ifdef RBSTATS
    211 void	rb_tree_depths(const rb_tree_t *, size_t *);
    212 #endif
    213 
    214 #ifdef __END_DECLS
    215 __END_DECLS
    216 #endif
    217 
    218 #endif	/* _SYS_RBTREE_H_*/
    219