| /* |
| * OPENBSD ORIGINAL: sys/sys/tree.h |
| */ |
| |
| /* |
| * $OpenBSD: tree.h,v 1.12 2009/03/02 09:42:55 mikeb 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_ |
| |
| /* |
| * 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 __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 __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 __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_REVERSE(x, name, head) \ |
| for ((x) = RB_MAX(name, head); \ |
| (x) != NULL; \ |
| (x) = name ## _RB_PREV(x)) |
| |
| #endif /* _SYS_TREE_H_ */ |
