446 lines
21 KiB
C
446 lines
21 KiB
C
/* $NetBSD: tree.h,v 1.8 2004/03/28 19:38:30 provos Exp $ */
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/* $OpenBSD: tree.h,v 1.7 2002/10/17 21:51:54 art Exp $ */
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/* $FreeBSD: releng/11.4/sys/sys/tree.h 331722 2018-03-29 02:50:57Z eadler $ */
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/*-
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* Copyright 2002 Niels Provos <provos@citi.umich.edu>
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
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* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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* IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
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* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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#ifndef _SYS_TREE_H_
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#define _SYS_TREE_H_
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#include <sys/cdefs.h>
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#ifdef __cplusplus
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#if __cplusplus
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extern "C" {
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#endif /* __cplusplus */
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#endif /* __cplusplus */
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/*
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* A red-black tree is a binary search tree with the node color as an
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* extra attribute. It fulfills a set of conditions:
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* - every search path from the root to a leaf consists of the
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* same number of black nodes,
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* - each red node (except for the root) has a black parent,
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* - each leaf node is black.
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*
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* Every operation on a red-black tree is bounded as O(lg n).
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* The maximum height of a red-black tree is 2lg (n+1).
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*/
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/* Macros that define a red-black tree */
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#define RB_HEAD(name, type) \
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struct name { \
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struct type *rbh_root; /* root of the tree */ \
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}
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#define RB_INITIALIZER(root) \
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{ NULL }
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#define RB_INIT(root) do { \
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(root)->rbh_root = NULL; \
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} while (/*CONSTCOND*/ 0)
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#define RB_BLACK 0
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#define RB_RED 1
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#define RB_ENTRY(type) \
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struct { \
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struct type *rbe_left; /* left element */ \
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struct type *rbe_right; /* right element */ \
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struct type *rbe_parent; /* parent element */ \
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int rbe_color; /* node color */ \
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}
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#define RB_LEFT(elm, field) (elm)->field.rbe_left
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#define RB_RIGHT(elm, field) (elm)->field.rbe_right
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#define RB_PARENT(elm, field) (elm)->field.rbe_parent
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#define RB_COLOR(elm, field) (elm)->field.rbe_color
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#define RB_ROOT(head) (head)->rbh_root
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#define RB_EMPTY(head) (RB_ROOT(head) == NULL)
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#define RB_SET(elm, parent, field) do { \
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RB_PARENT(elm, field) = parent; \
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RB_LEFT(elm, field) = RB_RIGHT(elm, field) = NULL; \
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RB_COLOR(elm, field) = RB_RED; \
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} while (/*CONSTCOND*/ 0)
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#define RB_SET_BLACKRED(black, red, field) do { \
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RB_COLOR(black, field) = RB_BLACK; \
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RB_COLOR(red, field) = RB_RED; \
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} while (/*CONSTCOND*/ 0)
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#ifndef RB_AUGMENT
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#define RB_AUGMENT(x) do {} while (0)
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#endif
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#define RB_ROTATE_LEFT(head, elm, tmp, field) do { \
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(tmp) = RB_RIGHT(elm, field); \
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if ((RB_RIGHT(elm, field) = RB_LEFT(tmp, field)) != NULL) { \
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RB_PARENT(RB_LEFT(tmp, field), field) = (elm); \
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} \
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RB_AUGMENT(elm); \
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if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field)) != NULL) { \
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if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \
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RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \
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else \
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RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \
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} else \
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(head)->rbh_root = (tmp); \
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RB_LEFT(tmp, field) = (elm); \
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RB_PARENT(elm, field) = (tmp); \
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RB_AUGMENT(tmp); \
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if ((RB_PARENT(tmp, field))) \
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RB_AUGMENT(RB_PARENT(tmp, field)); \
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} while (/*CONSTCOND*/ 0)
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#define RB_ROTATE_RIGHT(head, elm, tmp, field) do { \
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(tmp) = RB_LEFT(elm, field); \
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if ((RB_LEFT(elm, field) = RB_RIGHT(tmp, field)) != NULL) { \
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RB_PARENT(RB_RIGHT(tmp, field), field) = (elm); \
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} \
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RB_AUGMENT(elm); \
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if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field)) != NULL) { \
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if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \
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RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \
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else \
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RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \
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} else \
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(head)->rbh_root = (tmp); \
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RB_RIGHT(tmp, field) = (elm); \
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RB_PARENT(elm, field) = (tmp); \
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RB_AUGMENT(tmp); \
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if ((RB_PARENT(tmp, field))) \
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RB_AUGMENT(RB_PARENT(tmp, field)); \
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} while (/*CONSTCOND*/ 0)
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/* Generates prototypes and inline functions */
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#define RB_PROTOTYPE(name, type, field, cmp) \
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RB_PROTOTYPE_INTERNAL(name, type, field, cmp,)
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#define RB_PROTOTYPE_STATIC(name, type, field, cmp) \
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RB_PROTOTYPE_INTERNAL(name, type, field, cmp, __unused static)
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#define RB_PROTOTYPE_INTERNAL(name, type, field, cmp, attr) \
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RB_PROTOTYPE_INSERT_COLOR(name, type, attr); \
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RB_PROTOTYPE_REMOVE_COLOR(name, type, attr); \
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RB_PROTOTYPE_REMOVE(name, type, attr); \
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RB_PROTOTYPE_NEXT(name, type, attr); \
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RB_PROTOTYPE_PREV(name, type, attr); \
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RB_PROTOTYPE_MINMAX(name, type, attr);
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#define RB_PROTOTYPE_INSERT_COLOR(name, type, attr) \
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attr void name##_RB_INSERT_COLOR(struct name *, struct type *)
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#define RB_PROTOTYPE_REMOVE_COLOR(name, type, attr) \
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attr void name##_RB_REMOVE_COLOR(struct name *, struct type *, struct type *)
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#define RB_PROTOTYPE_REMOVE(name, type, attr) \
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attr struct type *name##_RB_REMOVE(struct name *, struct type *)
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#define RB_PROTOTYPE_NEXT(name, type, attr) \
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attr struct type *name##_RB_NEXT(struct type *)
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#define RB_PROTOTYPE_PREV(name, type, attr) \
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attr struct type *name##_RB_PREV(struct type *)
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#define RB_PROTOTYPE_MINMAX(name, type, attr) \
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attr struct type *name##_RB_MINMAX(struct name *, int)
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/* Main rb operation.
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* Moves node close to the key of elm to top
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*/
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#define RB_GENERATE(name, type, field, cmp) \
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RB_GENERATE_INTERNAL(name, type, field, cmp,)
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#define RB_GENERATE_STATIC(name, type, field, cmp) \
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RB_GENERATE_INTERNAL(name, type, field, cmp, __unused static)
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#define RB_GENERATE_INTERNAL(name, type, field, cmp, attr) \
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RB_GENERATE_INSERT_COLOR(name, type, field, attr) \
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RB_GENERATE_REMOVE_COLOR(name, type, field, attr) \
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RB_GENERATE_REMOVE(name, type, field, attr) \
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RB_GENERATE_NEXT(name, type, field, attr) \
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RB_GENERATE_PREV(name, type, field, attr) \
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RB_GENERATE_MINMAX(name, type, field, attr)
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#define RB_GENERATE_INSERT_COLOR(name, type, field, attr) \
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attr void \
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name##_RB_INSERT_COLOR(struct name *head, struct type *elm) \
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{ \
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struct type *parent, *gparent, *tmp; \
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while ((parent = RB_PARENT(elm, field)) != NULL && \
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RB_COLOR(parent, field) == RB_RED) { \
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gparent = RB_PARENT(parent, field); \
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if (parent == RB_LEFT(gparent, field)) { \
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tmp = RB_RIGHT(gparent, field); \
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if (tmp && RB_COLOR(tmp, field) == RB_RED) { \
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RB_COLOR(tmp, field) = RB_BLACK; \
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RB_SET_BLACKRED(parent, gparent, field);\
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elm = gparent; \
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continue; \
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} \
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if (RB_RIGHT(parent, field) == elm) { \
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RB_ROTATE_LEFT(head, parent, tmp, field);\
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tmp = parent; \
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parent = elm; \
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elm = tmp; \
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} \
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RB_SET_BLACKRED(parent, gparent, field); \
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RB_ROTATE_RIGHT(head, gparent, tmp, field); \
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} else { \
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tmp = RB_LEFT(gparent, field); \
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if (tmp && RB_COLOR(tmp, field) == RB_RED) { \
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RB_COLOR(tmp, field) = RB_BLACK; \
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RB_SET_BLACKRED(parent, gparent, field);\
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elm = gparent; \
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continue; \
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} \
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if (RB_LEFT(parent, field) == elm) { \
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RB_ROTATE_RIGHT(head, parent, tmp, field);\
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tmp = parent; \
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parent = elm; \
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elm = tmp; \
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} \
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RB_SET_BLACKRED(parent, gparent, field); \
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RB_ROTATE_LEFT(head, gparent, tmp, field); \
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} \
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} \
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RB_COLOR(head->rbh_root, field) = RB_BLACK; \
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}
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#define RB_GENERATE_REMOVE_COLOR(name, type, field, attr) \
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attr void \
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name##_RB_REMOVE_COLOR(struct name *head, struct type *parent, struct type *elm) \
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{ \
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struct type *tmp; \
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while ((elm == NULL || RB_COLOR(elm, field) == RB_BLACK) && \
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elm != RB_ROOT(head)) { \
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if (RB_LEFT(parent, field) == elm) { \
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tmp = RB_RIGHT(parent, field); \
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if (RB_COLOR(tmp, field) == RB_RED) { \
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RB_SET_BLACKRED(tmp, parent, field); \
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RB_ROTATE_LEFT(head, parent, tmp, field);\
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tmp = RB_RIGHT(parent, field); \
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} \
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if ((RB_LEFT(tmp, field) == NULL || \
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RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\
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(RB_RIGHT(tmp, field) == NULL || \
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RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\
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RB_COLOR(tmp, field) = RB_RED; \
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elm = parent; \
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parent = RB_PARENT(elm, field); \
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} else { \
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if (RB_RIGHT(tmp, field) == NULL || \
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RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK) {\
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struct type *oleft; \
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if ((oleft = RB_LEFT(tmp, field)) \
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!= NULL) \
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RB_COLOR(oleft, field) = RB_BLACK;\
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RB_COLOR(tmp, field) = RB_RED; \
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RB_ROTATE_RIGHT(head, tmp, oleft, field);\
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tmp = RB_RIGHT(parent, field); \
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} \
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RB_COLOR(tmp, field) = RB_COLOR(parent, field);\
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RB_COLOR(parent, field) = RB_BLACK; \
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if (RB_RIGHT(tmp, field)) \
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RB_COLOR(RB_RIGHT(tmp, field), field) = RB_BLACK;\
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RB_ROTATE_LEFT(head, parent, tmp, field);\
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elm = RB_ROOT(head); \
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break; \
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} \
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} else { \
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tmp = RB_LEFT(parent, field); \
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if (RB_COLOR(tmp, field) == RB_RED) { \
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RB_SET_BLACKRED(tmp, parent, field); \
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RB_ROTATE_RIGHT(head, parent, tmp, field);\
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tmp = RB_LEFT(parent, field); \
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} \
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if ((RB_LEFT(tmp, field) == NULL || \
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RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\
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(RB_RIGHT(tmp, field) == NULL || \
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RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\
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RB_COLOR(tmp, field) = RB_RED; \
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elm = parent; \
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parent = RB_PARENT(elm, field); \
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} else { \
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if (RB_LEFT(tmp, field) == NULL || \
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RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) {\
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struct type *oright; \
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if ((oright = RB_RIGHT(tmp, field)) \
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!= NULL) \
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RB_COLOR(oright, field) = RB_BLACK;\
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RB_COLOR(tmp, field) = RB_RED; \
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RB_ROTATE_LEFT(head, tmp, oright, field);\
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tmp = RB_LEFT(parent, field); \
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} \
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RB_COLOR(tmp, field) = RB_COLOR(parent, field);\
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RB_COLOR(parent, field) = RB_BLACK; \
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if (RB_LEFT(tmp, field)) \
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RB_COLOR(RB_LEFT(tmp, field), field) = RB_BLACK;\
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RB_ROTATE_RIGHT(head, parent, tmp, field);\
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elm = RB_ROOT(head); \
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break; \
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} \
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} \
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} \
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if (elm) \
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RB_COLOR(elm, field) = RB_BLACK; \
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}
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#define RB_GENERATE_REMOVE(name, type, field, attr) \
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attr struct type * \
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name##_RB_REMOVE(struct name *head, struct type *elm) \
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{ \
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struct type *child, *parent, *old = elm; \
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int color; \
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if (RB_LEFT(elm, field) == NULL) \
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child = RB_RIGHT(elm, field); \
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else if (RB_RIGHT(elm, field) == NULL) \
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child = RB_LEFT(elm, field); \
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else { \
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struct type *left; \
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elm = RB_RIGHT(elm, field); \
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while ((left = RB_LEFT(elm, field)) != NULL) \
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elm = left; \
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child = RB_RIGHT(elm, field); \
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parent = RB_PARENT(elm, field); \
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color = RB_COLOR(elm, field); \
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if (child) \
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RB_PARENT(child, field) = parent; \
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if (parent) { \
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if (RB_LEFT(parent, field) == elm) \
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RB_LEFT(parent, field) = child; \
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else \
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RB_RIGHT(parent, field) = child; \
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RB_AUGMENT(parent); \
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} else \
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RB_ROOT(head) = child; \
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if (RB_PARENT(elm, field) == old) \
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parent = elm; \
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(elm)->field = (old)->field; \
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if (RB_PARENT(old, field)) { \
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if (RB_LEFT(RB_PARENT(old, field), field) == old)\
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RB_LEFT(RB_PARENT(old, field), field) = elm;\
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else \
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RB_RIGHT(RB_PARENT(old, field), field) = elm;\
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RB_AUGMENT(RB_PARENT(old, field)); \
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} else \
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RB_ROOT(head) = elm; \
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RB_PARENT(RB_LEFT(old, field), field) = elm; \
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if (RB_RIGHT(old, field)) \
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RB_PARENT(RB_RIGHT(old, field), field) = elm; \
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if (parent) { \
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left = parent; \
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do { \
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RB_AUGMENT(left); \
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} while ((left = RB_PARENT(left, field)) != NULL); \
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} \
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goto color; \
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} \
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parent = RB_PARENT(elm, field); \
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color = RB_COLOR(elm, field); \
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if (child) \
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RB_PARENT(child, field) = parent; \
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if (parent) { \
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if (RB_LEFT(parent, field) == elm) \
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RB_LEFT(parent, field) = child; \
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else \
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RB_RIGHT(parent, field) = child; \
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RB_AUGMENT(parent); \
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} else \
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RB_ROOT(head) = child; \
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color: \
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if (color == RB_BLACK) \
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name##_RB_REMOVE_COLOR(head, parent, child); \
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return (old); \
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} \
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#define RB_GENERATE_NEXT(name, type, field, attr) \
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/* ARGSUSED */ \
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attr struct type * \
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name##_RB_NEXT(struct type *elm) \
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{ \
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if (RB_RIGHT(elm, field)) { \
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elm = RB_RIGHT(elm, field); \
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while (RB_LEFT(elm, field)) \
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elm = RB_LEFT(elm, field); \
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} else { \
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if (RB_PARENT(elm, field) && \
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(elm == RB_LEFT(RB_PARENT(elm, field), field))) \
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elm = RB_PARENT(elm, field); \
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else { \
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while (RB_PARENT(elm, field) && \
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(elm == RB_RIGHT(RB_PARENT(elm, field), field)))\
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elm = RB_PARENT(elm, field); \
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elm = RB_PARENT(elm, field); \
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} \
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} \
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return (elm); \
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}
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#define RB_GENERATE_PREV(name, type, field, attr) \
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/* ARGSUSED */ \
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attr struct type * \
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name##_RB_PREV(struct type *elm) \
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{ \
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if (RB_LEFT(elm, field)) { \
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elm = RB_LEFT(elm, field); \
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while (RB_RIGHT(elm, field)) \
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elm = RB_RIGHT(elm, field); \
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} else { \
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if (RB_PARENT(elm, field) && \
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(elm == RB_RIGHT(RB_PARENT(elm, field), field))) \
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elm = RB_PARENT(elm, field); \
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else { \
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while (RB_PARENT(elm, field) && \
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(elm == RB_LEFT(RB_PARENT(elm, field), field)))\
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elm = RB_PARENT(elm, field); \
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elm = RB_PARENT(elm, field); \
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} \
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} \
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return (elm); \
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}
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#define RB_GENERATE_MINMAX(name, type, field, attr) \
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attr struct type * \
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name##_RB_MINMAX(struct name *head, int val) \
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{ \
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struct type *tmp = RB_ROOT(head); \
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struct type *parent = NULL; \
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while (tmp) { \
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parent = tmp; \
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if (val < 0) \
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tmp = RB_LEFT(tmp, field); \
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else \
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tmp = RB_RIGHT(tmp, field); \
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} \
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return (parent); \
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}
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#define RB_NEGINF -1
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#define RB_INF 1
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#define RB_NEXT(name, x, y) name##_RB_NEXT(y)
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#define RB_PREV(name, x, y) name##_RB_PREV(y)
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#define RB_MIN(name, x) name##_RB_MINMAX(x, RB_NEGINF)
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#ifdef __cplusplus
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#if __cplusplus
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}
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#endif /* __cplusplus */
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#endif /* __cplusplus */
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#endif /* _SYS_TREE_H_ */
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