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- /*========================================================================
- //
- // rbtree.c
- //
- // Red Black tree implementation
- //
- //========================================================================
- // ####ECOSGPLCOPYRIGHTBEGIN####
- // -------------------------------------------
- // This file is part of eCos, the Embedded Configurable Operating System.
- // Copyright (C) 1998, 1999, 2000, 2001, 2002, 2003 Free Software Foundation, Inc.
- //
- // eCos is free software; you can redistribute it and/or modify it under
- // the terms of the GNU General Public License as published by the Free
- // Software Foundation; either version 2 or (at your option) any later
- // version.
- //
- // eCos is distributed in the hope that it will be useful, but WITHOUT
- // ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
- // FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
- // for more details.
- //
- // You should have received a copy of the GNU General Public License
- // along with eCos; if not, write to the Free Software Foundation, Inc.,
- // 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
- //
- // As a special exception, if other files instantiate templates or use
- // macros or inline functions from this file, or you compile this file
- // and link it with other works to produce a work based on this file,
- // this file does not by itself cause the resulting work to be covered by
- // the GNU General Public License. However the source code for this file
- // must still be made available in accordance with section (3) of the GNU
- // General Public License v2.
- //
- // This exception does not invalidate any other reasons why a work based
- // on this file might be covered by the GNU General Public License.
- // -------------------------------------------
- // ####ECOSGPLCOPYRIGHTEND####
- //========================================================================
- //#####DESCRIPTIONBEGIN####
- //
- // Author(s): Niels Provos/OpenBSD
- // Contributors: dwmw2
- // Date: 2003-01-21
- // Purpose: This file provides an implementation of red-black trees.
- // Description: Derived from OpenBSD src/sys/sys/tree.h
- // Usage:
- //
- //####DESCRIPTIONEND####
- //
- //======================================================================
- */
- /* $OpenBSD: tree.h,v 1.7 2002/10/17 21:51:54 art 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.
- */
- /* Fields renamed to match Linux ones. */
- #include <linux/rbtree.h>
- #define RB_HEAD(head) (head)->rb_node
- #define RB_LEFT(elm) (elm)->rb_left
- #define RB_RIGHT(elm) (elm)->rb_right
- #define RB_PARENT(elm) (elm)->rb_parent
- #define RB_COLOR(elm) (elm)->rb_color
- #define RB_SET(elm, parent) do { \
- RB_PARENT(elm) = parent; \
- RB_LEFT(elm) = RB_RIGHT(elm) = NULL; \
- RB_COLOR(elm) = RB_RED; \
- } while (0)
- #define RB_SET_BLACKRED(black, red) do { \
- RB_COLOR(black) = RB_BLACK; \
- RB_COLOR(red) = RB_RED; \
- } while (0)
- #ifndef RB_AUGMENT
- #define RB_AUGMENT(x)
- #endif
- #define RB_ROTATE_LEFT(head, elm, tmp) do { \
- (tmp) = RB_RIGHT(elm); \
- if ((RB_RIGHT(elm) = RB_LEFT(tmp))) { \
- RB_PARENT(RB_LEFT(tmp)) = (elm); \
- } \
- RB_AUGMENT(elm); \
- if ((RB_PARENT(tmp) = RB_PARENT(elm))) { \
- if ((elm) == RB_LEFT(RB_PARENT(elm))) \
- RB_LEFT(RB_PARENT(elm)) = (tmp); \
- else \
- RB_RIGHT(RB_PARENT(elm)) = (tmp); \
- } else \
- (head)->rb_node = (tmp); \
- RB_LEFT(tmp) = (elm); \
- RB_PARENT(elm) = (tmp); \
- RB_AUGMENT(tmp); \
- if ((RB_PARENT(tmp))) \
- RB_AUGMENT(RB_PARENT(tmp)); \
- } while (0)
- #define RB_ROTATE_RIGHT(head, elm, tmp) do { \
- (tmp) = RB_LEFT(elm); \
- if ((RB_LEFT(elm) = RB_RIGHT(tmp))) { \
- RB_PARENT(RB_RIGHT(tmp)) = (elm); \
- } \
- RB_AUGMENT(elm); \
- if ((RB_PARENT(tmp) = RB_PARENT(elm))) { \
- if ((elm) == RB_LEFT(RB_PARENT(elm))) \
- RB_LEFT(RB_PARENT(elm)) = (tmp); \
- else \
- RB_RIGHT(RB_PARENT(elm)) = (tmp); \
- } else \
- (head)->rb_node = (tmp); \
- RB_RIGHT(tmp) = (elm); \
- RB_PARENT(elm) = (tmp); \
- RB_AUGMENT(tmp); \
- if ((RB_PARENT(tmp))) \
- RB_AUGMENT(RB_PARENT(tmp)); \
- } while(0)
- /* Note args swapped to match Linux */
- void rb_insert_color(struct rb_node *elm, struct rb_root *head)
- {
- struct rb_node *parent, *gparent, *tmp;
- while ((parent = RB_PARENT(elm)) &&
- RB_COLOR(parent) == RB_RED) {
- gparent = RB_PARENT(parent);
- if (parent == RB_LEFT(gparent)) {
- tmp = RB_RIGHT(gparent);
- if (tmp && RB_COLOR(tmp) == RB_RED) {
- RB_COLOR(tmp) = RB_BLACK;
- RB_SET_BLACKRED(parent, gparent);
- elm = gparent;
- continue;
- }
- if (RB_RIGHT(parent) == elm) {
- RB_ROTATE_LEFT(head, parent, tmp);
- tmp = parent;
- parent = elm;
- elm = tmp;
- }
- RB_SET_BLACKRED(parent, gparent);
- RB_ROTATE_RIGHT(head, gparent, tmp);
- } else {
- tmp = RB_LEFT(gparent);
- if (tmp && RB_COLOR(tmp) == RB_RED) {
- RB_COLOR(tmp) = RB_BLACK;
- RB_SET_BLACKRED(parent, gparent);
- elm = gparent;
- continue;
- }
- if (RB_LEFT(parent) == elm) {
- RB_ROTATE_RIGHT(head, parent, tmp);
- tmp = parent;
- parent = elm;
- elm = tmp;
- }
- RB_SET_BLACKRED(parent, gparent);
- RB_ROTATE_LEFT(head, gparent, tmp);
- }
- }
- RB_COLOR(head->rb_node) = RB_BLACK;
- }
- static void rb_remove_color(struct rb_root *head, struct rb_node *parent,
- struct rb_node *elm)
- {
- struct rb_node *tmp;
- while ((elm == NULL || RB_COLOR(elm) == RB_BLACK) &&
- elm != RB_HEAD(head)) {
- if (RB_LEFT(parent) == elm) {
- tmp = RB_RIGHT(parent);
- if (RB_COLOR(tmp) == RB_RED) {
- RB_SET_BLACKRED(tmp, parent);
- RB_ROTATE_LEFT(head, parent, tmp);
- tmp = RB_RIGHT(parent);
- }
- if ((RB_LEFT(tmp) == NULL ||
- RB_COLOR(RB_LEFT(tmp)) == RB_BLACK) &&
- (RB_RIGHT(tmp) == NULL ||
- RB_COLOR(RB_RIGHT(tmp)) == RB_BLACK)) {
- RB_COLOR(tmp) = RB_RED;
- elm = parent;
- parent = RB_PARENT(elm);
- } else {
- if (RB_RIGHT(tmp) == NULL ||
- RB_COLOR(RB_RIGHT(tmp)) == RB_BLACK) {
- struct rb_node *oleft;
- if ((oleft = RB_LEFT(tmp)))
- RB_COLOR(oleft) = RB_BLACK;
- RB_COLOR(tmp) = RB_RED;
- RB_ROTATE_RIGHT(head, tmp, oleft);
- tmp = RB_RIGHT(parent);
- }
- RB_COLOR(tmp) = RB_COLOR(parent);
- RB_COLOR(parent) = RB_BLACK;
- if (RB_RIGHT(tmp))
- RB_COLOR(RB_RIGHT(tmp)) = RB_BLACK;
- RB_ROTATE_LEFT(head, parent, tmp);
- elm = RB_HEAD(head);
- break;
- }
- } else {
- tmp = RB_LEFT(parent);
- if (RB_COLOR(tmp) == RB_RED) {
- RB_SET_BLACKRED(tmp, parent);
- RB_ROTATE_RIGHT(head, parent, tmp);
- tmp = RB_LEFT(parent);
- }
- if ((RB_LEFT(tmp) == NULL ||
- RB_COLOR(RB_LEFT(tmp)) == RB_BLACK) &&
- (RB_RIGHT(tmp) == NULL ||
- RB_COLOR(RB_RIGHT(tmp)) == RB_BLACK)) {
- RB_COLOR(tmp) = RB_RED;
- elm = parent;
- parent = RB_PARENT(elm);
- } else {
- if (RB_LEFT(tmp) == NULL ||
- RB_COLOR(RB_LEFT(tmp)) == RB_BLACK) {
- struct rb_node *oright;
- if ((oright = RB_RIGHT(tmp)))
- RB_COLOR(oright) = RB_BLACK;
- RB_COLOR(tmp) = RB_RED;
- RB_ROTATE_LEFT(head, tmp, oright);
- tmp = RB_LEFT(parent);
- }
- RB_COLOR(tmp) = RB_COLOR(parent);
- RB_COLOR(parent) = RB_BLACK;
- if (RB_LEFT(tmp))
- RB_COLOR(RB_LEFT(tmp)) = RB_BLACK;
- RB_ROTATE_RIGHT(head, parent, tmp);
- elm = RB_HEAD(head);
- break;
- }
- }
- }
- if (elm)
- RB_COLOR(elm) = RB_BLACK;
- }
- /* Note name changed. Guess why :) */
- void rb_erase(struct rb_node *elm, struct rb_root *head)
- {
- struct rb_node *child, *parent, *old = elm;
- int color;
- if (RB_LEFT(elm) == NULL)
- child = RB_RIGHT(elm);
- else if (RB_RIGHT(elm) == NULL)
- child = RB_LEFT(elm);
- else {
- struct rb_node *left;
- elm = RB_RIGHT(elm);
- while ((left = RB_LEFT(elm)))
- elm = left;
- child = RB_RIGHT(elm);
- parent = RB_PARENT(elm);
- color = RB_COLOR(elm);
- if (child)
- RB_PARENT(child) = parent;
- if (parent) {
- if (RB_LEFT(parent) == elm)
- RB_LEFT(parent) = child;
- else
- RB_RIGHT(parent) = child;
- RB_AUGMENT(parent);
- } else
- RB_HEAD(head) = child;
- if (RB_PARENT(elm) == old)
- parent = elm;
- *(elm) = *(old);
- if (RB_PARENT(old)) {
- if (RB_LEFT(RB_PARENT(old)) == old)
- RB_LEFT(RB_PARENT(old)) = elm;
- else
- RB_RIGHT(RB_PARENT(old)) = elm;
- RB_AUGMENT(RB_PARENT(old));
- } else
- RB_HEAD(head) = elm;
- RB_PARENT(RB_LEFT(old)) = elm;
- if (RB_RIGHT(old))
- RB_PARENT(RB_RIGHT(old)) = elm;
- if (parent) {
- left = parent;
- do {
- RB_AUGMENT(left);
- } while ((left = RB_PARENT(left)));
- }
- goto color;
- }
- parent = RB_PARENT(elm);
- color = RB_COLOR(elm);
- if (child)
- RB_PARENT(child) = parent;
- if (parent) {
- if (RB_LEFT(parent) == elm)
- RB_LEFT(parent) = child;
- else
- RB_RIGHT(parent) = child;
- RB_AUGMENT(parent);
- } else
- RB_HEAD(head) = child;
- color:
- if (color == RB_BLACK)
- rb_remove_color(head, parent, child);
- }
- struct rb_node *rb_next(struct rb_node *elm)
- {
- if (RB_RIGHT(elm)) {
- elm = RB_RIGHT(elm);
- while (RB_LEFT(elm))
- elm = RB_LEFT(elm);
- } else {
- if (RB_PARENT(elm) &&
- (elm == RB_LEFT(RB_PARENT(elm))))
- elm = RB_PARENT(elm);
- else {
- while (RB_PARENT(elm) &&
- (elm == RB_RIGHT(RB_PARENT(elm))))
- elm = RB_PARENT(elm);
- elm = RB_PARENT(elm);
- }
- }
- return (elm);
- }
- struct rb_node *rb_prev(struct rb_node *elm)
- {
- if (RB_LEFT(elm)) {
- elm = RB_LEFT(elm);
- while (RB_RIGHT(elm))
- elm = RB_RIGHT(elm);
- } else {
- if (RB_PARENT(elm) &&
- (elm == RB_RIGHT(RB_PARENT(elm))))
- elm = RB_PARENT(elm);
- else {
- while (RB_PARENT(elm) &&
- (elm == RB_LEFT(RB_PARENT(elm))))
- elm = RB_PARENT(elm);
- elm = RB_PARENT(elm);
- }
- }
- return (elm);
- }
- /* These ones are lifted from Linux -- but that's OK because I
- wrote them. dwmw2. */
- struct rb_node *rb_first(struct rb_root *root)
- {
- struct rb_node *n;
- n = root->rb_node;
- if (!n)
- return 0;
- while (n->rb_left)
- n = n->rb_left;
- return n;
- }
- void rb_replace_node(struct rb_node *victim, struct rb_node *new,
- struct rb_root *root)
- {
- struct rb_node *parent = victim->rb_parent;
- /* Set the surrounding nodes to point to the replacement */
- if (parent) {
- if (victim == parent->rb_left)
- parent->rb_left = new;
- else
- parent->rb_right = new;
- } else {
- root->rb_node = new;
- }
- if (victim->rb_left)
- victim->rb_left->rb_parent = new;
- if (victim->rb_right)
- victim->rb_right->rb_parent = new;
- /* Copy the pointers/colour from the victim to the replacement */
- *new = *victim;
- }
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