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| -rw-r--r-- | tree.h | 1006 |
1 files changed, 0 insertions, 1006 deletions
@@ -1,1006 +0,0 @@ -/* $OpenBSD: tree.h,v 1.29 2017/07/30 19:27:20 deraadt Exp $ */ -/* - * Copyright 2002 Niels Provos <provos@citi.umich.edu> - * All rights reserved. - * - * 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 AUTHOR ``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 AUTHOR 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_TREE_H_ -#define _SYS_TREE_H_ - -#include <sys/_null.h> - -/* - * This file defines data structures for different types of trees: - * splay trees and red-black trees. - * - * A splay tree is a self-organizing data structure. Every operation - * on the tree causes a splay to happen. The splay moves the requested - * node to the root of the tree and partly rebalances it. - * - * This has the benefit that request locality causes faster lookups as - * the requested nodes move to the top of the tree. On the other hand, - * every lookup causes memory writes. - * - * The Balance Theorem bounds the total access time for m operations - * and n inserts on an initially empty tree as O((m + n)lg n). The - * amortized cost for a sequence of m accesses to a splay tree is O(lg n); - * - * A red-black tree is a binary search tree with the node color as an - * extra attribute. It fulfills a set of conditions: - * - every search path from the root to a leaf consists of the - * same number of black nodes, - * - each red node (except for the root) has a black parent, - * - each leaf node is black. - * - * Every operation on a red-black tree is bounded as O(lg n). - * The maximum height of a red-black tree is 2lg (n+1). - */ - -#define SPLAY_HEAD(name, type) \ -struct name { \ - struct type *sph_root; /* root of the tree */ \ -} - -#define SPLAY_INITIALIZER(root) \ - { NULL } - -#define SPLAY_INIT(root) do { \ - (root)->sph_root = NULL; \ -} while (0) - -#define SPLAY_ENTRY(type) \ -struct { \ - struct type *spe_left; /* left element */ \ - struct type *spe_right; /* right element */ \ -} - -#define SPLAY_LEFT(elm, field) (elm)->field.spe_left -#define SPLAY_RIGHT(elm, field) (elm)->field.spe_right -#define SPLAY_ROOT(head) (head)->sph_root -#define SPLAY_EMPTY(head) (SPLAY_ROOT(head) == NULL) - -/* SPLAY_ROTATE_{LEFT,RIGHT} expect that tmp hold SPLAY_{RIGHT,LEFT} */ -#define SPLAY_ROTATE_RIGHT(head, tmp, field) do { \ - SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(tmp, field); \ - SPLAY_RIGHT(tmp, field) = (head)->sph_root; \ - (head)->sph_root = tmp; \ -} while (0) - -#define SPLAY_ROTATE_LEFT(head, tmp, field) do { \ - SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(tmp, field); \ - SPLAY_LEFT(tmp, field) = (head)->sph_root; \ - (head)->sph_root = tmp; \ -} while (0) - -#define SPLAY_LINKLEFT(head, tmp, field) do { \ - SPLAY_LEFT(tmp, field) = (head)->sph_root; \ - tmp = (head)->sph_root; \ - (head)->sph_root = SPLAY_LEFT((head)->sph_root, field); \ -} while (0) - -#define SPLAY_LINKRIGHT(head, tmp, field) do { \ - SPLAY_RIGHT(tmp, field) = (head)->sph_root; \ - tmp = (head)->sph_root; \ - (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field); \ -} while (0) - -#define SPLAY_ASSEMBLE(head, node, left, right, field) do { \ - SPLAY_RIGHT(left, field) = SPLAY_LEFT((head)->sph_root, field); \ - SPLAY_LEFT(right, field) = SPLAY_RIGHT((head)->sph_root, field);\ - SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(node, field); \ - SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(node, field); \ -} while (0) - -/* Generates prototypes and inline functions */ - -#define SPLAY_PROTOTYPE(name, type, field, cmp) \ -void name##_SPLAY(struct name *, struct type *); \ -void name##_SPLAY_MINMAX(struct name *, int); \ -struct type *name##_SPLAY_INSERT(struct name *, struct type *); \ -struct type *name##_SPLAY_REMOVE(struct name *, struct type *); \ - \ -/* Finds the node with the same key as elm */ \ -static __unused __inline struct type * \ -name##_SPLAY_FIND(struct name *head, struct type *elm) \ -{ \ - if (SPLAY_EMPTY(head)) \ - return(NULL); \ - name##_SPLAY(head, elm); \ - if ((cmp)(elm, (head)->sph_root) == 0) \ - return (head->sph_root); \ - return (NULL); \ -} \ - \ -static __unused __inline struct type * \ -name##_SPLAY_NEXT(struct name *head, struct type *elm) \ -{ \ - name##_SPLAY(head, elm); \ - if (SPLAY_RIGHT(elm, field) != NULL) { \ - elm = SPLAY_RIGHT(elm, field); \ - while (SPLAY_LEFT(elm, field) != NULL) { \ - elm = SPLAY_LEFT(elm, field); \ - } \ - } else \ - elm = NULL; \ - return (elm); \ -} \ - \ -static __unused __inline struct type * \ -name##_SPLAY_MIN_MAX(struct name *head, int val) \ -{ \ - name##_SPLAY_MINMAX(head, val); \ - return (SPLAY_ROOT(head)); \ -} - -/* Main splay operation. - * Moves node close to the key of elm to top - */ -#define SPLAY_GENERATE(name, type, field, cmp) \ -struct type * \ -name##_SPLAY_INSERT(struct name *head, struct type *elm) \ -{ \ - if (SPLAY_EMPTY(head)) { \ - SPLAY_LEFT(elm, field) = SPLAY_RIGHT(elm, field) = NULL; \ - } else { \ - int __comp; \ - name##_SPLAY(head, elm); \ - __comp = (cmp)(elm, (head)->sph_root); \ - if(__comp < 0) { \ - SPLAY_LEFT(elm, field) = SPLAY_LEFT((head)->sph_root, field);\ - SPLAY_RIGHT(elm, field) = (head)->sph_root; \ - SPLAY_LEFT((head)->sph_root, field) = NULL; \ - } else if (__comp > 0) { \ - SPLAY_RIGHT(elm, field) = SPLAY_RIGHT((head)->sph_root, field);\ - SPLAY_LEFT(elm, field) = (head)->sph_root; \ - SPLAY_RIGHT((head)->sph_root, field) = NULL; \ - } else \ - return ((head)->sph_root); \ - } \ - (head)->sph_root = (elm); \ - return (NULL); \ -} \ - \ -struct type * \ -name##_SPLAY_REMOVE(struct name *head, struct type *elm) \ -{ \ - struct type *__tmp; \ - if (SPLAY_EMPTY(head)) \ - return (NULL); \ - name##_SPLAY(head, elm); \ - if ((cmp)(elm, (head)->sph_root) == 0) { \ - if (SPLAY_LEFT((head)->sph_root, field) == NULL) { \ - (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field);\ - } else { \ - __tmp = SPLAY_RIGHT((head)->sph_root, field); \ - (head)->sph_root = SPLAY_LEFT((head)->sph_root, field);\ - name##_SPLAY(head, elm); \ - SPLAY_RIGHT((head)->sph_root, field) = __tmp; \ - } \ - return (elm); \ - } \ - return (NULL); \ -} \ - \ -void \ -name##_SPLAY(struct name *head, struct type *elm) \ -{ \ - struct type __node, *__left, *__right, *__tmp; \ - int __comp; \ -\ - SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\ - __left = __right = &__node; \ -\ - while ((__comp = (cmp)(elm, (head)->sph_root))) { \ - if (__comp < 0) { \ - __tmp = SPLAY_LEFT((head)->sph_root, field); \ - if (__tmp == NULL) \ - break; \ - if ((cmp)(elm, __tmp) < 0){ \ - SPLAY_ROTATE_RIGHT(head, __tmp, field); \ - if (SPLAY_LEFT((head)->sph_root, field) == NULL)\ - break; \ - } \ - SPLAY_LINKLEFT(head, __right, field); \ - } else if (__comp > 0) { \ - __tmp = SPLAY_RIGHT((head)->sph_root, field); \ - if (__tmp == NULL) \ - break; \ - if ((cmp)(elm, __tmp) > 0){ \ - SPLAY_ROTATE_LEFT(head, __tmp, field); \ - if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\ - break; \ - } \ - SPLAY_LINKRIGHT(head, __left, field); \ - } \ - } \ - SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \ -} \ - \ -/* Splay with either the minimum or the maximum element \ - * Used to find minimum or maximum element in tree. \ - */ \ -void name##_SPLAY_MINMAX(struct name *head, int __comp) \ -{ \ - struct type __node, *__left, *__right, *__tmp; \ -\ - SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\ - __left = __right = &__node; \ -\ - while (1) { \ - if (__comp < 0) { \ - __tmp = SPLAY_LEFT((head)->sph_root, field); \ - if (__tmp == NULL) \ - break; \ - if (__comp < 0){ \ - SPLAY_ROTATE_RIGHT(head, __tmp, field); \ - if (SPLAY_LEFT((head)->sph_root, field) == NULL)\ - break; \ - } \ - SPLAY_LINKLEFT(head, __right, field); \ - } else if (__comp > 0) { \ - __tmp = SPLAY_RIGHT((head)->sph_root, field); \ - if (__tmp == NULL) \ - break; \ - if (__comp > 0) { \ - SPLAY_ROTATE_LEFT(head, __tmp, field); \ - if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\ - break; \ - } \ - SPLAY_LINKRIGHT(head, __left, field); \ - } \ - } \ - SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \ -} - -#define SPLAY_NEGINF -1 -#define SPLAY_INF 1 - -#define SPLAY_INSERT(name, x, y) name##_SPLAY_INSERT(x, y) -#define SPLAY_REMOVE(name, x, y) name##_SPLAY_REMOVE(x, y) -#define SPLAY_FIND(name, x, y) name##_SPLAY_FIND(x, y) -#define SPLAY_NEXT(name, x, y) name##_SPLAY_NEXT(x, y) -#define SPLAY_MIN(name, x) (SPLAY_EMPTY(x) ? NULL \ - : name##_SPLAY_MIN_MAX(x, SPLAY_NEGINF)) -#define SPLAY_MAX(name, x) (SPLAY_EMPTY(x) ? NULL \ - : name##_SPLAY_MIN_MAX(x, SPLAY_INF)) - -#define SPLAY_FOREACH(x, name, head) \ - for ((x) = SPLAY_MIN(name, head); \ - (x) != NULL; \ - (x) = SPLAY_NEXT(name, head, x)) - -/* Macros that define a red-black tree */ -#define RB_HEAD(name, type) \ -struct name { \ - struct type *rbh_root; /* root of the tree */ \ -} - -#define RB_INITIALIZER(root) \ - { NULL } - -#define RB_INIT(root) do { \ - (root)->rbh_root = NULL; \ -} while (0) - -#define RB_BLACK 0 -#define RB_RED 1 -#define RB_ENTRY(type) \ -struct { \ - struct type *rbe_left; /* left element */ \ - struct type *rbe_right; /* right element */ \ - struct type *rbe_parent; /* parent element */ \ - int rbe_color; /* node color */ \ -} - -#define RB_LEFT(elm, field) (elm)->field.rbe_left -#define RB_RIGHT(elm, field) (elm)->field.rbe_right -#define RB_PARENT(elm, field) (elm)->field.rbe_parent -#define RB_COLOR(elm, field) (elm)->field.rbe_color -#define RB_ROOT(head) (head)->rbh_root -#define RB_EMPTY(head) (RB_ROOT(head) == NULL) - -#define RB_SET(elm, parent, field) do { \ - RB_PARENT(elm, field) = parent; \ - RB_LEFT(elm, field) = RB_RIGHT(elm, field) = NULL; \ - RB_COLOR(elm, field) = RB_RED; \ -} while (0) - -#define RB_SET_BLACKRED(black, red, field) do { \ - RB_COLOR(black, field) = RB_BLACK; \ - RB_COLOR(red, field) = RB_RED; \ -} while (0) - -#ifndef RB_AUGMENT -#define RB_AUGMENT(x) do {} while (0) -#endif - -#define RB_ROTATE_LEFT(head, elm, tmp, field) do { \ - (tmp) = RB_RIGHT(elm, field); \ - if ((RB_RIGHT(elm, field) = RB_LEFT(tmp, field))) { \ - RB_PARENT(RB_LEFT(tmp, field), field) = (elm); \ - } \ - RB_AUGMENT(elm); \ - if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) { \ - if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \ - RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \ - else \ - RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \ - } else \ - (head)->rbh_root = (tmp); \ - RB_LEFT(tmp, field) = (elm); \ - RB_PARENT(elm, field) = (tmp); \ - RB_AUGMENT(tmp); \ - if ((RB_PARENT(tmp, field))) \ - RB_AUGMENT(RB_PARENT(tmp, field)); \ -} while (0) - -#define RB_ROTATE_RIGHT(head, elm, tmp, field) do { \ - (tmp) = RB_LEFT(elm, field); \ - if ((RB_LEFT(elm, field) = RB_RIGHT(tmp, field))) { \ - RB_PARENT(RB_RIGHT(tmp, field), field) = (elm); \ - } \ - RB_AUGMENT(elm); \ - if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) { \ - if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \ - RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \ - else \ - RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \ - } else \ - (head)->rbh_root = (tmp); \ - RB_RIGHT(tmp, field) = (elm); \ - RB_PARENT(elm, field) = (tmp); \ - RB_AUGMENT(tmp); \ - if ((RB_PARENT(tmp, field))) \ - RB_AUGMENT(RB_PARENT(tmp, field)); \ -} while (0) - -/* Generates prototypes and inline functions */ -#define RB_PROTOTYPE(name, type, field, cmp) \ - RB_PROTOTYPE_INTERNAL(name, type, field, cmp,) -#define RB_PROTOTYPE_STATIC(name, type, field, cmp) \ - RB_PROTOTYPE_INTERNAL(name, type, field, cmp, __attribute__((__unused__)) static) -#define RB_PROTOTYPE_INTERNAL(name, type, field, cmp, attr) \ -attr void name##_RB_INSERT_COLOR(struct name *, struct type *); \ -attr void name##_RB_REMOVE_COLOR(struct name *, struct type *, struct type *);\ -attr struct type *name##_RB_REMOVE(struct name *, struct type *); \ -attr struct type *name##_RB_INSERT(struct name *, struct type *); \ -attr struct type *name##_RB_FIND(struct name *, struct type *); \ -attr struct type *name##_RB_NFIND(struct name *, struct type *); \ -attr struct type *name##_RB_NEXT(struct type *); \ -attr struct type *name##_RB_PREV(struct type *); \ -attr struct type *name##_RB_MINMAX(struct name *, int); \ - \ - -/* Main rb operation. - * Moves node close to the key of elm to top - */ -#define RB_GENERATE(name, type, field, cmp) \ - RB_GENERATE_INTERNAL(name, type, field, cmp,) -#define RB_GENERATE_STATIC(name, type, field, cmp) \ - RB_GENERATE_INTERNAL(name, type, field, cmp, __attribute__((__unused__)) static) -#define RB_GENERATE_INTERNAL(name, type, field, cmp, attr) \ -attr void \ -name##_RB_INSERT_COLOR(struct name *head, struct type *elm) \ -{ \ - struct type *parent, *gparent, *tmp; \ - while ((parent = RB_PARENT(elm, field)) && \ - RB_COLOR(parent, field) == RB_RED) { \ - gparent = RB_PARENT(parent, field); \ - if (parent == RB_LEFT(gparent, field)) { \ - tmp = RB_RIGHT(gparent, field); \ - if (tmp && RB_COLOR(tmp, field) == RB_RED) { \ - RB_COLOR(tmp, field) = RB_BLACK; \ - RB_SET_BLACKRED(parent, gparent, field);\ - elm = gparent; \ - continue; \ - } \ - if (RB_RIGHT(parent, field) == elm) { \ - RB_ROTATE_LEFT(head, parent, tmp, field);\ - tmp = parent; \ - parent = elm; \ - elm = tmp; \ - } \ - RB_SET_BLACKRED(parent, gparent, field); \ - RB_ROTATE_RIGHT(head, gparent, tmp, field); \ - } else { \ - tmp = RB_LEFT(gparent, field); \ - if (tmp && RB_COLOR(tmp, field) == RB_RED) { \ - RB_COLOR(tmp, field) = RB_BLACK; \ - RB_SET_BLACKRED(parent, gparent, field);\ - elm = gparent; \ - continue; \ - } \ - if (RB_LEFT(parent, field) == elm) { \ - RB_ROTATE_RIGHT(head, parent, tmp, field);\ - tmp = parent; \ - parent = elm; \ - elm = tmp; \ - } \ - RB_SET_BLACKRED(parent, gparent, field); \ - RB_ROTATE_LEFT(head, gparent, tmp, field); \ - } \ - } \ - RB_COLOR(head->rbh_root, field) = RB_BLACK; \ -} \ - \ -attr void \ -name##_RB_REMOVE_COLOR(struct name *head, struct type *parent, struct type *elm) \ -{ \ - struct type *tmp; \ - while ((elm == NULL || RB_COLOR(elm, field) == RB_BLACK) && \ - elm != RB_ROOT(head)) { \ - if (RB_LEFT(parent, field) == elm) { \ - tmp = RB_RIGHT(parent, field); \ - if (RB_COLOR(tmp, field) == RB_RED) { \ - RB_SET_BLACKRED(tmp, parent, field); \ - RB_ROTATE_LEFT(head, parent, tmp, field);\ - tmp = RB_RIGHT(parent, field); \ - } \ - if ((RB_LEFT(tmp, field) == NULL || \ - RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\ - (RB_RIGHT(tmp, field) == NULL || \ - RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\ - RB_COLOR(tmp, field) = RB_RED; \ - elm = parent; \ - parent = RB_PARENT(elm, field); \ - } else { \ - if (RB_RIGHT(tmp, field) == NULL || \ - RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK) {\ - struct type *oleft; \ - if ((oleft = RB_LEFT(tmp, field)))\ - RB_COLOR(oleft, field) = RB_BLACK;\ - RB_COLOR(tmp, field) = RB_RED; \ - RB_ROTATE_RIGHT(head, tmp, oleft, field);\ - tmp = RB_RIGHT(parent, field); \ - } \ - RB_COLOR(tmp, field) = RB_COLOR(parent, field);\ - RB_COLOR(parent, field) = RB_BLACK; \ - if (RB_RIGHT(tmp, field)) \ - RB_COLOR(RB_RIGHT(tmp, field), field) = RB_BLACK;\ - RB_ROTATE_LEFT(head, parent, tmp, field);\ - elm = RB_ROOT(head); \ - break; \ - } \ - } else { \ - tmp = RB_LEFT(parent, field); \ - if (RB_COLOR(tmp, field) == RB_RED) { \ - RB_SET_BLACKRED(tmp, parent, field); \ - RB_ROTATE_RIGHT(head, parent, tmp, field);\ - tmp = RB_LEFT(parent, field); \ - } \ - if ((RB_LEFT(tmp, field) == NULL || \ - RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\ - (RB_RIGHT(tmp, field) == NULL || \ - RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\ - RB_COLOR(tmp, field) = RB_RED; \ - elm = parent; \ - parent = RB_PARENT(elm, field); \ - } else { \ - if (RB_LEFT(tmp, field) == NULL || \ - RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) {\ - struct type *oright; \ - if ((oright = RB_RIGHT(tmp, field)))\ - RB_COLOR(oright, field) = RB_BLACK;\ - RB_COLOR(tmp, field) = RB_RED; \ - RB_ROTATE_LEFT(head, tmp, oright, field);\ - tmp = RB_LEFT(parent, field); \ - } \ - RB_COLOR(tmp, field) = RB_COLOR(parent, field);\ - RB_COLOR(parent, field) = RB_BLACK; \ - if (RB_LEFT(tmp, field)) \ - RB_COLOR(RB_LEFT(tmp, field), field) = RB_BLACK;\ - RB_ROTATE_RIGHT(head, parent, tmp, field);\ - elm = RB_ROOT(head); \ - break; \ - } \ - } \ - } \ - if (elm) \ - RB_COLOR(elm, field) = RB_BLACK; \ -} \ - \ -attr struct type * \ -name##_RB_REMOVE(struct name *head, struct type *elm) \ -{ \ - struct type *child, *parent, *old = elm; \ - int color; \ - if (RB_LEFT(elm, field) == NULL) \ - child = RB_RIGHT(elm, field); \ - else if (RB_RIGHT(elm, field) == NULL) \ - child = RB_LEFT(elm, field); \ - else { \ - struct type *left; \ - elm = RB_RIGHT(elm, field); \ - while ((left = RB_LEFT(elm, field))) \ - elm = left; \ - child = RB_RIGHT(elm, field); \ - parent = RB_PARENT(elm, field); \ - color = RB_COLOR(elm, field); \ - if (child) \ - RB_PARENT(child, field) = parent; \ - if (parent) { \ - if (RB_LEFT(parent, field) == elm) \ - RB_LEFT(parent, field) = child; \ - else \ - RB_RIGHT(parent, field) = child; \ - RB_AUGMENT(parent); \ - } else \ - RB_ROOT(head) = child; \ - if (RB_PARENT(elm, field) == old) \ - parent = elm; \ - (elm)->field = (old)->field; \ - if (RB_PARENT(old, field)) { \ - if (RB_LEFT(RB_PARENT(old, field), field) == old)\ - RB_LEFT(RB_PARENT(old, field), field) = elm;\ - else \ - RB_RIGHT(RB_PARENT(old, field), field) = elm;\ - RB_AUGMENT(RB_PARENT(old, field)); \ - } else \ - RB_ROOT(head) = elm; \ - RB_PARENT(RB_LEFT(old, field), field) = elm; \ - if (RB_RIGHT(old, field)) \ - RB_PARENT(RB_RIGHT(old, field), field) = elm; \ - if (parent) { \ - left = parent; \ - do { \ - RB_AUGMENT(left); \ - } while ((left = RB_PARENT(left, field))); \ - } \ - goto color; \ - } \ - parent = RB_PARENT(elm, field); \ - color = RB_COLOR(elm, field); \ - if (child) \ - RB_PARENT(child, field) = parent; \ - if (parent) { \ - if (RB_LEFT(parent, field) == elm) \ - RB_LEFT(parent, field) = child; \ - else \ - RB_RIGHT(parent, field) = child; \ - RB_AUGMENT(parent); \ - } else \ - RB_ROOT(head) = child; \ -color: \ - if (color == RB_BLACK) \ - name##_RB_REMOVE_COLOR(head, parent, child); \ - return (old); \ -} \ - \ -/* Inserts a node into the RB tree */ \ -attr struct type * \ -name##_RB_INSERT(struct name *head, struct type *elm) \ -{ \ - struct type *tmp; \ - struct type *parent = NULL; \ - int comp = 0; \ - tmp = RB_ROOT(head); \ - while (tmp) { \ - parent = tmp; \ - comp = (cmp)(elm, parent); \ - if (comp < 0) \ - tmp = RB_LEFT(tmp, field); \ - else if (comp > 0) \ - tmp = RB_RIGHT(tmp, field); \ - else \ - return (tmp); \ - } \ - RB_SET(elm, parent, field); \ - if (parent != NULL) { \ - if (comp < 0) \ - RB_LEFT(parent, field) = elm; \ - else \ - RB_RIGHT(parent, field) = elm; \ - RB_AUGMENT(parent); \ - } else \ - RB_ROOT(head) = elm; \ - name##_RB_INSERT_COLOR(head, elm); \ - return (NULL); \ -} \ - \ -/* Finds the node with the same key as elm */ \ -attr struct type * \ -name##_RB_FIND(struct name *head, struct type *elm) \ -{ \ - struct type *tmp = RB_ROOT(head); \ - int comp; \ - while (tmp) { \ - comp = cmp(elm, tmp); \ - if (comp < 0) \ - tmp = RB_LEFT(tmp, field); \ - else if (comp > 0) \ - tmp = RB_RIGHT(tmp, field); \ - else \ - return (tmp); \ - } \ - return (NULL); \ -} \ - \ -/* Finds the first node greater than or equal to the search key */ \ -attr struct type * \ -name##_RB_NFIND(struct name *head, struct type *elm) \ -{ \ - struct type *tmp = RB_ROOT(head); \ - struct type *res = NULL; \ - int comp; \ - while (tmp) { \ - comp = cmp(elm, tmp); \ - if (comp < 0) { \ - res = tmp; \ - tmp = RB_LEFT(tmp, field); \ - } \ - else if (comp > 0) \ - tmp = RB_RIGHT(tmp, field); \ - else \ - return (tmp); \ - } \ - return (res); \ -} \ - \ -/* ARGSUSED */ \ -attr struct type * \ -name##_RB_NEXT(struct type *elm) \ -{ \ - if (RB_RIGHT(elm, field)) { \ - elm = RB_RIGHT(elm, field); \ - while (RB_LEFT(elm, field)) \ - elm = RB_LEFT(elm, field); \ - } else { \ - if (RB_PARENT(elm, field) && \ - (elm == RB_LEFT(RB_PARENT(elm, field), field))) \ - elm = RB_PARENT(elm, field); \ - else { \ - while (RB_PARENT(elm, field) && \ - (elm == RB_RIGHT(RB_PARENT(elm, field), field)))\ - elm = RB_PARENT(elm, field); \ - elm = RB_PARENT(elm, field); \ - } \ - } \ - return (elm); \ -} \ - \ -/* ARGSUSED */ \ -attr struct type * \ -name##_RB_PREV(struct type *elm) \ -{ \ - if (RB_LEFT(elm, field)) { \ - elm = RB_LEFT(elm, field); \ - while (RB_RIGHT(elm, field)) \ - elm = RB_RIGHT(elm, field); \ - } else { \ - if (RB_PARENT(elm, field) && \ - (elm == RB_RIGHT(RB_PARENT(elm, field), field))) \ - elm = RB_PARENT(elm, field); \ - else { \ - while (RB_PARENT(elm, field) && \ - (elm == RB_LEFT(RB_PARENT(elm, field), field)))\ - elm = RB_PARENT(elm, field); \ - elm = RB_PARENT(elm, field); \ - } \ - } \ - return (elm); \ -} \ - \ -attr struct type * \ -name##_RB_MINMAX(struct name *head, int val) \ -{ \ - struct type *tmp = RB_ROOT(head); \ - struct type *parent = NULL; \ - while (tmp) { \ - parent = tmp; \ - if (val < 0) \ - tmp = RB_LEFT(tmp, field); \ - else \ - tmp = RB_RIGHT(tmp, field); \ - } \ - return (parent); \ -} - -#define RB_NEGINF -1 -#define RB_INF 1 - -#define RB_INSERT(name, x, y) name##_RB_INSERT(x, y) -#define RB_REMOVE(name, x, y) name##_RB_REMOVE(x, y) -#define RB_FIND(name, x, y) name##_RB_FIND(x, y) -#define RB_NFIND(name, x, y) name##_RB_NFIND(x, y) -#define RB_NEXT(name, x, y) name##_RB_NEXT(y) -#define RB_PREV(name, x, y) name##_RB_PREV(y) -#define RB_MIN(name, x) name##_RB_MINMAX(x, RB_NEGINF) -#define RB_MAX(name, x) name##_RB_MINMAX(x, RB_INF) - -#define RB_FOREACH(x, name, head) \ - for ((x) = RB_MIN(name, head); \ - (x) != NULL; \ - (x) = name##_RB_NEXT(x)) - -#define RB_FOREACH_SAFE(x, name, head, y) \ - for ((x) = RB_MIN(name, head); \ - ((x) != NULL) && ((y) = name##_RB_NEXT(x), 1); \ - (x) = (y)) - -#define RB_FOREACH_REVERSE(x, name, head) \ - for ((x) = RB_MAX(name, head); \ - (x) != NULL; \ - (x) = name##_RB_PREV(x)) - -#define RB_FOREACH_REVERSE_SAFE(x, name, head, y) \ - for ((x) = RB_MAX(name, head); \ - ((x) != NULL) && ((y) = name##_RB_PREV(x), 1); \ - (x) = (y)) - - -/* - * Copyright (c) 2016 David Gwynne <dlg@openbsd.org> - * - * Permission to use, copy, modify, and distribute this software for any - * purpose with or without fee is hereby granted, provided that the above - * copyright notice and this permission notice appear in all copies. - * - * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES - * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF - * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR - * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES - * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN - * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF - * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. - */ - -struct rb_type { - int (*t_compare)(const void *, const void *); - void (*t_augment)(void *); - unsigned int t_offset; /* offset of rb_entry in type */ -}; - -struct rb_tree { - struct rb_entry *rbt_root; -}; - -struct rb_entry { - struct rb_entry *rbt_parent; - struct rb_entry *rbt_left; - struct rb_entry *rbt_right; - unsigned int rbt_color; -}; - -#define RBT_HEAD(_name, _type) \ -struct _name { \ - struct rb_tree rbh_root; \ -} - -#define RBT_ENTRY(_type) struct rb_entry - -static inline void -_rb_init(struct rb_tree *rbt) -{ - rbt->rbt_root = NULL; -} - -static inline int -_rb_empty(struct rb_tree *rbt) -{ - return (rbt->rbt_root == NULL); -} - -void *_rb_insert(const struct rb_type *, struct rb_tree *, void *); -void *_rb_remove(const struct rb_type *, struct rb_tree *, void *); -void *_rb_find(const struct rb_type *, struct rb_tree *, const void *); -void *_rb_nfind(const struct rb_type *, struct rb_tree *, const void *); -void *_rb_root(const struct rb_type *, struct rb_tree *); -void *_rb_min(const struct rb_type *, struct rb_tree *); -void *_rb_max(const struct rb_type *, struct rb_tree *); -void *_rb_next(const struct rb_type *, void *); -void *_rb_prev(const struct rb_type *, void *); -void *_rb_left(const struct rb_type *, void *); -void *_rb_right(const struct rb_type *, void *); -void *_rb_parent(const struct rb_type *, void *); -void _rb_set_left(const struct rb_type *, void *, void *); -void _rb_set_right(const struct rb_type *, void *, void *); -void _rb_set_parent(const struct rb_type *, void *, void *); -void _rb_poison(const struct rb_type *, void *, unsigned long); -int _rb_check(const struct rb_type *, void *, unsigned long); - -#define RBT_INITIALIZER(_head) { { NULL } } - -#define RBT_PROTOTYPE(_name, _type, _field, _cmp) \ -extern const struct rb_type *const _name##_RBT_TYPE; \ - \ -__unused static inline void \ -_name##_RBT_INIT(struct _name *head) \ -{ \ - _rb_init(&head->rbh_root); \ -} \ - \ -__unused static inline struct _type * \ -_name##_RBT_INSERT(struct _name *head, struct _type *elm) \ -{ \ - return _rb_insert(_name##_RBT_TYPE, &head->rbh_root, elm); \ -} \ - \ -__unused static inline struct _type * \ -_name##_RBT_REMOVE(struct _name *head, struct _type *elm) \ -{ \ - return _rb_remove(_name##_RBT_TYPE, &head->rbh_root, elm); \ -} \ - \ -__unused static inline struct _type * \ -_name##_RBT_FIND(struct _name *head, const struct _type *key) \ -{ \ - return _rb_find(_name##_RBT_TYPE, &head->rbh_root, key); \ -} \ - \ -__unused static inline struct _type * \ -_name##_RBT_NFIND(struct _name *head, const struct _type *key) \ -{ \ - return _rb_nfind(_name##_RBT_TYPE, &head->rbh_root, key); \ -} \ - \ -__unused static inline struct _type * \ -_name##_RBT_ROOT(struct _name *head) \ -{ \ - return _rb_root(_name##_RBT_TYPE, &head->rbh_root); \ -} \ - \ -__unused static inline int \ -_name##_RBT_EMPTY(struct _name *head) \ -{ \ - return _rb_empty(&head->rbh_root); \ -} \ - \ -__unused static inline struct _type * \ -_name##_RBT_MIN(struct _name *head) \ -{ \ - return _rb_min(_name##_RBT_TYPE, &head->rbh_root); \ -} \ - \ -__unused static inline struct _type * \ -_name##_RBT_MAX(struct _name *head) \ -{ \ - return _rb_max(_name##_RBT_TYPE, &head->rbh_root); \ -} \ - \ -__unused static inline struct _type * \ -_name##_RBT_NEXT(struct _type *elm) \ -{ \ - return _rb_next(_name##_RBT_TYPE, elm); \ -} \ - \ -__unused static inline struct _type * \ -_name##_RBT_PREV(struct _type *elm) \ -{ \ - return _rb_prev(_name##_RBT_TYPE, elm); \ -} \ - \ -__unused static inline struct _type * \ -_name##_RBT_LEFT(struct _type *elm) \ -{ \ - return _rb_left(_name##_RBT_TYPE, elm); \ -} \ - \ -__unused static inline struct _type * \ -_name##_RBT_RIGHT(struct _type *elm) \ -{ \ - return _rb_right(_name##_RBT_TYPE, elm); \ -} \ - \ -__unused static inline struct _type * \ -_name##_RBT_PARENT(struct _type *elm) \ -{ \ - return _rb_parent(_name##_RBT_TYPE, elm); \ -} \ - \ -__unused static inline void \ -_name##_RBT_SET_LEFT(struct _type *elm, struct _type *left) \ -{ \ - return _rb_set_left(_name##_RBT_TYPE, elm, left); \ -} \ - \ -__unused static inline void \ -_name##_RBT_SET_RIGHT(struct _type *elm, struct _type *right) \ -{ \ - return _rb_set_right(_name##_RBT_TYPE, elm, right); \ -} \ - \ -__unused static inline void \ -_name##_RBT_SET_PARENT(struct _type *elm, struct _type *parent) \ -{ \ - return _rb_set_parent(_name##_RBT_TYPE, elm, parent); \ -} \ - \ -__unused static inline void \ -_name##_RBT_POISON(struct _type *elm, unsigned long poison) \ -{ \ - return _rb_poison(_name##_RBT_TYPE, elm, poison); \ -} \ - \ -__unused static inline int \ -_name##_RBT_CHECK(struct _type *elm, unsigned long poison) \ -{ \ - return _rb_check(_name##_RBT_TYPE, elm, poison); \ -} - -#define RBT_GENERATE_INTERNAL(_name, _type, _field, _cmp, _aug) \ -static int \ -_name##_RBT_COMPARE(const void *lptr, const void *rptr) \ -{ \ - const struct _type *l = lptr, *r = rptr; \ - return _cmp(l, r); \ -} \ -static const struct rb_type _name##_RBT_INFO = { \ - _name##_RBT_COMPARE, \ - _aug, \ - offsetof(struct _type, _field), \ -}; \ -const struct rb_type *const _name##_RBT_TYPE = &_name##_RBT_INFO - -#define RBT_GENERATE_AUGMENT(_name, _type, _field, _cmp, _aug) \ -static void \ -_name##_RBT_AUGMENT(void *ptr) \ -{ \ - struct _type *p = ptr; \ - return _aug(p); \ -} \ -RBT_GENERATE_INTERNAL(_name, _type, _field, _cmp, _name##_RBT_AUGMENT) - -#define RBT_GENERATE(_name, _type, _field, _cmp) \ - RBT_GENERATE_INTERNAL(_name, _type, _field, _cmp, NULL) - -#define RBT_INIT(_name, _head) _name##_RBT_INIT(_head) -#define RBT_INSERT(_name, _head, _elm) _name##_RBT_INSERT(_head, _elm) -#define RBT_REMOVE(_name, _head, _elm) _name##_RBT_REMOVE(_head, _elm) -#define RBT_FIND(_name, _head, _key) _name##_RBT_FIND(_head, _key) -#define RBT_NFIND(_name, _head, _key) _name##_RBT_NFIND(_head, _key) -#define RBT_ROOT(_name, _head) _name##_RBT_ROOT(_head) -#define RBT_EMPTY(_name, _head) _name##_RBT_EMPTY(_head) -#define RBT_MIN(_name, _head) _name##_RBT_MIN(_head) -#define RBT_MAX(_name, _head) _name##_RBT_MAX(_head) -#define RBT_NEXT(_name, _elm) _name##_RBT_NEXT(_elm) -#define RBT_PREV(_name, _elm) _name##_RBT_PREV(_elm) -#define RBT_LEFT(_name, _elm) _name##_RBT_LEFT(_elm) -#define RBT_RIGHT(_name, _elm) _name##_RBT_RIGHT(_elm) -#define RBT_PARENT(_name, _elm) _name##_RBT_PARENT(_elm) -#define RBT_SET_LEFT(_name, _elm, _l) _name##_RBT_SET_LEFT(_elm, _l) -#define RBT_SET_RIGHT(_name, _elm, _r) _name##_RBT_SET_RIGHT(_elm, _r) -#define RBT_SET_PARENT(_name, _elm, _p) _name##_RBT_SET_PARENT(_elm, _p) -#define RBT_POISON(_name, _elm, _p) _name##_RBT_POISON(_elm, _p) -#define RBT_CHECK(_name, _elm, _p) _name##_RBT_CHECK(_elm, _p) - -#define RBT_FOREACH(_e, _name, _head) \ - for ((_e) = RBT_MIN(_name, (_head)); \ - (_e) != NULL; \ - (_e) = RBT_NEXT(_name, (_e))) - -#define RBT_FOREACH_SAFE(_e, _name, _head, _n) \ - for ((_e) = RBT_MIN(_name, (_head)); \ - (_e) != NULL && ((_n) = RBT_NEXT(_name, (_e)), 1); \ - (_e) = (_n)) - -#define RBT_FOREACH_REVERSE(_e, _name, _head) \ - for ((_e) = RBT_MAX(_name, (_head)); \ - (_e) != NULL; \ - (_e) = RBT_PREV(_name, (_e))) - -#define RBT_FOREACH_REVERSE_SAFE(_e, _name, _head, _n) \ - for ((_e) = RBT_MAX(_name, (_head)); \ - (_e) != NULL && ((_n) = RBT_PREV(_name, (_e)), 1); \ - (_e) = (_n)) - -#endif /* _SYS_TREE_H_ */ |