diff options
| -rw-r--r-- | tree.h | 1006 |
1 files changed, 1006 insertions, 0 deletions
@@ -0,0 +1,1006 @@ +/* $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_ */ |