root/sys/sys/rbtree.h
/*      $NetBSD: rbtree.h,v 1.14 2025/10/29 08:08:44 roy Exp $  */

/*-
 * Copyright (c) 2001 The NetBSD Foundation, Inc.
 * All rights reserved.
 *
 * This code is derived from software contributed to The NetBSD Foundation
 * by Matt Thomas <matt@3am-software.com>.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 * 1. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the distribution.
 *
 * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
 * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
 * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
 * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
 * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
 * POSSIBILITY OF SUCH DAMAGE.
 */

#ifndef _SYS_RBTREE_H_
#define _SYS_RBTREE_H_

#if !defined(_KERNEL) && !defined(_STANDALONE)
#include <stddef.h>
#include <stdint.h>
#else
#include <sys/types.h>
#endif

#ifdef RBDEBUG
#include <sys/queue.h>
#if !defined(_KERNEL) && !defined(_STANDALONE)
#include <stdbool.h>
#endif
#endif

#ifdef __BEGIN_DECLS
__BEGIN_DECLS
#endif

typedef struct rb_node {
        struct rb_node *rb_nodes[2];
#define RB_DIR_LEFT             0
#define RB_DIR_RIGHT            1
#define RB_DIR_OTHER            1
#define rb_left                 rb_nodes[RB_DIR_LEFT]
#define rb_right                rb_nodes[RB_DIR_RIGHT]

        /*
         * rb_info contains the two flags and the parent back pointer.
         * We put the two flags in the low two bits since we know that
         * rb_node will have an alignment of 4 or 8 bytes.
         */
        uintptr_t rb_info;
#define RB_FLAG_POSITION        (uintptr_t)0x2
#define RB_FLAG_RED             (uintptr_t)0x1
#define RB_FLAG_MASK            (RB_FLAG_POSITION|RB_FLAG_RED)
#define RB_FATHER(rb) \
    ((struct rb_node *)((rb)->rb_info & ~RB_FLAG_MASK))
#define RB_SET_FATHER(rb, father) \
    ((void)((rb)->rb_info = (uintptr_t)(father)|((rb)->rb_info & RB_FLAG_MASK)))

#define RB_SENTINEL_P(rb)       ((rb) == NULL)
#define RB_LEFT_SENTINEL_P(rb)  RB_SENTINEL_P((rb)->rb_left)
#define RB_RIGHT_SENTINEL_P(rb) RB_SENTINEL_P((rb)->rb_right)
#define RB_FATHER_SENTINEL_P(rb) RB_SENTINEL_P(RB_FATHER((rb)))
#define RB_CHILDLESS_P(rb) \
    (RB_SENTINEL_P(rb) || (RB_LEFT_SENTINEL_P(rb) && RB_RIGHT_SENTINEL_P(rb)))
#define RB_TWOCHILDREN_P(rb) \
    (!RB_SENTINEL_P(rb) && !RB_LEFT_SENTINEL_P(rb) && !RB_RIGHT_SENTINEL_P(rb))

#define RB_POSITION(rb) \
    (((rb)->rb_info & RB_FLAG_POSITION) ? RB_DIR_RIGHT : RB_DIR_LEFT)
#define RB_RIGHT_P(rb)          (RB_POSITION(rb) == RB_DIR_RIGHT)
#define RB_LEFT_P(rb)           (RB_POSITION(rb) == RB_DIR_LEFT)
#define RB_RED_P(rb)            (!RB_SENTINEL_P(rb) && ((rb)->rb_info & RB_FLAG_RED) != 0)
#define RB_BLACK_P(rb)          (RB_SENTINEL_P(rb) || ((rb)->rb_info & RB_FLAG_RED) == 0)
#define RB_MARK_RED(rb)         ((void)((rb)->rb_info |= RB_FLAG_RED))
#define RB_MARK_BLACK(rb)       ((void)((rb)->rb_info &= ~RB_FLAG_RED))
#define RB_INVERT_COLOR(rb)     ((void)((rb)->rb_info ^= RB_FLAG_RED))
#define RB_ROOT_P(rbt, rb)      ((rbt)->rbt_root == (rb))
#define RB_SET_POSITION(rb, position) \
    ((void)((position) ? ((rb)->rb_info |= RB_FLAG_POSITION) : \
    ((rb)->rb_info &= ~RB_FLAG_POSITION)))
#define RB_ZERO_PROPERTIES(rb)  ((void)((rb)->rb_info &= ~RB_FLAG_MASK))
#define RB_COPY_PROPERTIES(dst, src) \
    ((void)((dst)->rb_info ^= ((dst)->rb_info ^ (src)->rb_info) & RB_FLAG_MASK))
#define RB_SWAP_PROPERTIES(a, b) do { \
    uintptr_t xorinfo = ((a)->rb_info ^ (b)->rb_info) & RB_FLAG_MASK; \
    (a)->rb_info ^= xorinfo; \
    (b)->rb_info ^= xorinfo; \
  } while (0)
#ifdef RBDEBUG
        TAILQ_ENTRY(rb_node) rb_link;
#endif
} rb_node_t;

#define RB_TREE_MIN(T) rb_tree_iterate((T), NULL, RB_DIR_LEFT)
#define RB_TREE_MAX(T) rb_tree_iterate((T), NULL, RB_DIR_RIGHT)
#define RB_TREE_NEXT(T, N) rb_tree_iterate((T), (N), RB_DIR_RIGHT)
#define RB_TREE_PREV(T, N) rb_tree_iterate((T), (N), RB_DIR_LEFT)
#define RB_TREE_FOREACH(N, T) \
    for ((N) = RB_TREE_MIN(T); (N); (N) = RB_TREE_NEXT((T), (N)))
#define RB_TREE_FOREACH_REVERSE(N, T) \
    for ((N) = RB_TREE_MAX(T); (N); (N) = RB_TREE_PREV((T), (N)))
#define RB_TREE_FOREACH_SAFE(N, T, S) \
    for ((N) = RB_TREE_MIN(T); \
        (N) && ((S) = RB_TREE_NEXT((T), (N)), 1); \
        (N) = (S))
#define RB_TREE_FOREACH_REVERSE_SAFE(N, T, S) \
    for ((N) = RB_TREE_MAX(T); \
        (N) && ((S) = RB_TREE_PREV((T), (N)), 1); \
        (N) = (S))

#ifdef RBDEBUG
TAILQ_HEAD(rb_node_qh, rb_node);

#define RB_TAILQ_REMOVE(a, b, c)                TAILQ_REMOVE(a, b, c)
#define RB_TAILQ_INIT(a)                        TAILQ_INIT(a)
#define RB_TAILQ_INSERT_HEAD(a, b, c)           TAILQ_INSERT_HEAD(a, b, c)
#define RB_TAILQ_INSERT_BEFORE(a, b, c)         TAILQ_INSERT_BEFORE(a, b, c)
#define RB_TAILQ_INSERT_AFTER(a, b, c, d)       TAILQ_INSERT_AFTER(a, b, c, d)

#define RBDEBUG_TREE_INITIALIZER(t)                                           \
        .rbt_nodes = TAILQ_HEAD_INITIALIZER((t).rbt_nodes),
#else
#define RB_TAILQ_REMOVE(a, b, c)                do { } while (0)
#define RB_TAILQ_INIT(a)                        do { } while (0)
#define RB_TAILQ_INSERT_HEAD(a, b, c)           do { } while (0)
#define RB_TAILQ_INSERT_BEFORE(a, b, c)         do { } while (0)
#define RB_TAILQ_INSERT_AFTER(a, b, c, d)       do { } while (0)

#define RBDEBUG_TREE_INITIALIZER(t)             /* nothing */
#endif /* RBDEBUG */

/*
 * rbto_compare_nodes_fn:
 *      return a positive value if the first node > the second node.
 *      return a negative value if the first node < the second node.
 *      return 0 if they are considered same.
 *
 * rbto_compare_key_fn:
 *      return a positive value if the node > the key.
 *      return a negative value if the node < the key.
 *      return 0 if they are considered same.
 */

typedef signed int (*rbto_compare_nodes_fn)(void *, const void *, const void *);
typedef signed int (*rbto_compare_key_fn)(void *, const void *, const void *);

typedef struct {
        rbto_compare_nodes_fn rbto_compare_nodes;
        rbto_compare_key_fn rbto_compare_key;
        size_t rbto_node_offset;
        void *rbto_context;
} rb_tree_ops_t;

typedef struct rb_tree {
        struct rb_node *rbt_root;
        const rb_tree_ops_t *rbt_ops;
        struct rb_node *rbt_minmax[2];
#ifdef RBDEBUG
        struct rb_node_qh rbt_nodes;
#endif
#ifdef RBSTATS
        unsigned int rbt_count;
        unsigned int rbt_insertions;
        unsigned int rbt_removals;
        unsigned int rbt_insertion_rebalance_calls;
        unsigned int rbt_insertion_rebalance_passes;
        unsigned int rbt_removal_rebalance_calls;
        unsigned int rbt_removal_rebalance_passes;
#endif
} rb_tree_t;

#ifdef RBSTATS
#define RBSTAT_INC(v)   ((void)((v)++))
#define RBSTAT_DEC(v)   ((void)((v)--))
#else
#define RBSTAT_INC(v)   do { } while (0)
#define RBSTAT_DEC(v)   do { } while (0)
#endif

#define RB_TREE_INIT_TYPECHECK(t)                                             \
        0*sizeof(&(t) - (struct rb_tree *)0)

#define RB_TREE_INITIALIZER(t, ops)                                           \
{                                                                             \
        .rbt_ops = (ops) + RB_TREE_INIT_TYPECHECK(t),                         \
        RBDEBUG_TREE_INITIALIZER(t)                                           \
}

void    rb_tree_init(rb_tree_t *, const rb_tree_ops_t *);
void *  rb_tree_insert_node(rb_tree_t *, void *);
void *  rb_tree_find_node(rb_tree_t *, const void *);
void *  rb_tree_find_node_geq(rb_tree_t *, const void *);
void *  rb_tree_find_node_leq(rb_tree_t *, const void *);
void    rb_tree_remove_node(rb_tree_t *, void *);
void *  rb_tree_iterate(rb_tree_t *, void *, const unsigned int);
#ifdef RBDEBUG
void    rb_tree_check(const rb_tree_t *, bool);
#endif
#ifdef RBSTATS
void    rb_tree_depths(const rb_tree_t *, size_t *);
#endif

#ifdef __END_DECLS
__END_DECLS
#endif

#endif  /* _SYS_RBTREE_H_*/