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/*========================================================================
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//
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// rbtree.c
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//
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// Red Black tree implementation
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//
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//========================================================================
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//####ECOSGPLCOPYRIGHTBEGIN####
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// -------------------------------------------
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// This file is part of eCos, the Embedded Configurable Operating System.
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// Copyright (C) 1998, 1999, 2000, 2001, 2002, 2003 Red Hat, Inc.
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//
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// eCos is free software; you can redistribute it and/or modify it under
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// the terms of the GNU General Public License as published by the Free
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// Software Foundation; either version 2 or (at your option) any later version.
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//
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// eCos is distributed in the hope that it will be useful, but WITHOUT ANY
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// WARRANTY; without even the implied warranty of MERCHANTABILITY or
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// FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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// for more details.
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//
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// You should have received a copy of the GNU General Public License along
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// with eCos; if not, write to the Free Software Foundation, Inc.,
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// 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA.
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//
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// As a special exception, if other files instantiate templates or use macros
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// or inline functions from this file, or you compile this file and link it
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// with other works to produce a work based on this file, this file does not
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// by itself cause the resulting work to be covered by the GNU General Public
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// License. However the source code for this file must still be made available
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// in accordance with section (3) of the GNU General Public License.
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//
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// This exception does not invalidate any other reasons why a work based on
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// this file might be covered by the GNU General Public License.
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//
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// Alternative licenses for eCos may be arranged by contacting Red Hat, Inc.
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// at http://sources.redhat.com/ecos/ecos-license/
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// -------------------------------------------
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//####ECOSGPLCOPYRIGHTEND####
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//========================================================================
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//#####DESCRIPTIONBEGIN####
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//
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// Author(s): Niels Provos/OpenBSD
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// Contributors: dwmw2
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// Date: 2003-01-21
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// Purpose: This file provides an implementation of red-black trees.
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// Description: Derived from OpenBSD src/sys/sys/tree.h
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// Usage:
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//
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//####DESCRIPTIONEND####
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//
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//======================================================================
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*/
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/* $OpenBSD: tree.h,v 1.7 2002/10/17 21:51:54 art Exp $ */
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/*
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* Copyright 2002 Niels Provos <provos@citi.umich.edu>
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
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* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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* IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
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* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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/* Fields renamed to match Linux ones. */
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#include <linux/rbtree.h>
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#define RB_HEAD(head) (head)->rb_node
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#define RB_LEFT(elm) (elm)->rb_left
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#define RB_RIGHT(elm) (elm)->rb_right
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#define RB_PARENT(elm) (elm)->rb_parent
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#define RB_COLOR(elm) (elm)->rb_color
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#define RB_SET(elm, parent) do { \
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RB_PARENT(elm) = parent; \
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RB_LEFT(elm) = RB_RIGHT(elm) = NULL; \
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RB_COLOR(elm) = RB_RED; \
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} while (0)
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#define RB_SET_BLACKRED(black, red) do { \
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RB_COLOR(black) = RB_BLACK; \
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RB_COLOR(red) = RB_RED; \
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} while (0)
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#ifndef RB_AUGMENT
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#define RB_AUGMENT(x)
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#endif
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#define RB_ROTATE_LEFT(head, elm, tmp) do { \
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(tmp) = RB_RIGHT(elm); \
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if ((RB_RIGHT(elm) = RB_LEFT(tmp))) { \
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RB_PARENT(RB_LEFT(tmp)) = (elm); \
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} \
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RB_AUGMENT(elm); \
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if ((RB_PARENT(tmp) = RB_PARENT(elm))) { \
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if ((elm) == RB_LEFT(RB_PARENT(elm))) \
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RB_LEFT(RB_PARENT(elm)) = (tmp); \
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else \
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RB_RIGHT(RB_PARENT(elm)) = (tmp); \
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} else \
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(head)->rb_node = (tmp); \
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RB_LEFT(tmp) = (elm); \
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RB_PARENT(elm) = (tmp); \
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RB_AUGMENT(tmp); \
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if ((RB_PARENT(tmp))) \
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RB_AUGMENT(RB_PARENT(tmp)); \
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} while (0)
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#define RB_ROTATE_RIGHT(head, elm, tmp) do { \
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(tmp) = RB_LEFT(elm); \
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if ((RB_LEFT(elm) = RB_RIGHT(tmp))) { \
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RB_PARENT(RB_RIGHT(tmp)) = (elm); \
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} \
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RB_AUGMENT(elm); \
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if ((RB_PARENT(tmp) = RB_PARENT(elm))) { \
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if ((elm) == RB_LEFT(RB_PARENT(elm))) \
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RB_LEFT(RB_PARENT(elm)) = (tmp); \
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else \
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RB_RIGHT(RB_PARENT(elm)) = (tmp); \
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138 |
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} else \
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(head)->rb_node = (tmp); \
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RB_RIGHT(tmp) = (elm); \
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RB_PARENT(elm) = (tmp); \
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RB_AUGMENT(tmp); \
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if ((RB_PARENT(tmp))) \
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RB_AUGMENT(RB_PARENT(tmp)); \
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} while(0)
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/* Note args swapped to match Linux */
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void rb_insert_color(struct rb_node *elm, struct rb_root *head)
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{
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struct rb_node *parent, *gparent, *tmp;
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while ((parent = RB_PARENT(elm)) &&
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RB_COLOR(parent) == RB_RED) {
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gparent = RB_PARENT(parent);
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if (parent == RB_LEFT(gparent)) {
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tmp = RB_RIGHT(gparent);
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if (tmp && RB_COLOR(tmp) == RB_RED) {
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RB_COLOR(tmp) = RB_BLACK;
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RB_SET_BLACKRED(parent, gparent);
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elm = gparent;
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continue;
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}
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162 |
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if (RB_RIGHT(parent) == elm) {
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RB_ROTATE_LEFT(head, parent, tmp);
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tmp = parent;
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parent = elm;
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elm = tmp;
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}
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RB_SET_BLACKRED(parent, gparent);
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RB_ROTATE_RIGHT(head, gparent, tmp);
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} else {
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tmp = RB_LEFT(gparent);
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if (tmp && RB_COLOR(tmp) == RB_RED) {
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RB_COLOR(tmp) = RB_BLACK;
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RB_SET_BLACKRED(parent, gparent);
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elm = gparent;
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continue;
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}
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if (RB_LEFT(parent) == elm) {
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RB_ROTATE_RIGHT(head, parent, tmp);
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tmp = parent;
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parent = elm;
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elm = tmp;
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}
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RB_SET_BLACKRED(parent, gparent);
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RB_ROTATE_LEFT(head, gparent, tmp);
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}
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187 |
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}
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RB_COLOR(head->rb_node) = RB_BLACK;
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189 |
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}
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190 |
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191 |
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192 |
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static void rb_remove_color(struct rb_root *head, struct rb_node *parent,
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struct rb_node *elm)
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{
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195 |
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struct rb_node *tmp;
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196 |
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while ((elm == NULL || RB_COLOR(elm) == RB_BLACK) &&
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197 |
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elm != RB_HEAD(head)) {
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198 |
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if (RB_LEFT(parent) == elm) {
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199 |
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tmp = RB_RIGHT(parent);
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200 |
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if (RB_COLOR(tmp) == RB_RED) {
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201 |
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RB_SET_BLACKRED(tmp, parent);
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202 |
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RB_ROTATE_LEFT(head, parent, tmp);
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203 |
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tmp = RB_RIGHT(parent);
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204 |
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}
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205 |
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if ((RB_LEFT(tmp) == NULL ||
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206 |
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RB_COLOR(RB_LEFT(tmp)) == RB_BLACK) &&
|
207 |
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(RB_RIGHT(tmp) == NULL ||
|
208 |
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RB_COLOR(RB_RIGHT(tmp)) == RB_BLACK)) {
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209 |
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RB_COLOR(tmp) = RB_RED;
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210 |
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elm = parent;
|
211 |
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parent = RB_PARENT(elm);
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212 |
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} else {
|
213 |
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if (RB_RIGHT(tmp) == NULL ||
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214 |
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RB_COLOR(RB_RIGHT(tmp)) == RB_BLACK) {
|
215 |
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struct rb_node *oleft;
|
216 |
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if ((oleft = RB_LEFT(tmp)))
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217 |
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RB_COLOR(oleft) = RB_BLACK;
|
218 |
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RB_COLOR(tmp) = RB_RED;
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219 |
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RB_ROTATE_RIGHT(head, tmp, oleft);
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220 |
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tmp = RB_RIGHT(parent);
|
221 |
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}
|
222 |
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RB_COLOR(tmp) = RB_COLOR(parent);
|
223 |
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RB_COLOR(parent) = RB_BLACK;
|
224 |
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if (RB_RIGHT(tmp))
|
225 |
|
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RB_COLOR(RB_RIGHT(tmp)) = RB_BLACK;
|
226 |
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RB_ROTATE_LEFT(head, parent, tmp);
|
227 |
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elm = RB_HEAD(head);
|
228 |
|
|
break;
|
229 |
|
|
}
|
230 |
|
|
} else {
|
231 |
|
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tmp = RB_LEFT(parent);
|
232 |
|
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if (RB_COLOR(tmp) == RB_RED) {
|
233 |
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RB_SET_BLACKRED(tmp, parent);
|
234 |
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RB_ROTATE_RIGHT(head, parent, tmp);
|
235 |
|
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tmp = RB_LEFT(parent);
|
236 |
|
|
}
|
237 |
|
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if ((RB_LEFT(tmp) == NULL ||
|
238 |
|
|
RB_COLOR(RB_LEFT(tmp)) == RB_BLACK) &&
|
239 |
|
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(RB_RIGHT(tmp) == NULL ||
|
240 |
|
|
RB_COLOR(RB_RIGHT(tmp)) == RB_BLACK)) {
|
241 |
|
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RB_COLOR(tmp) = RB_RED;
|
242 |
|
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elm = parent;
|
243 |
|
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parent = RB_PARENT(elm);
|
244 |
|
|
} else {
|
245 |
|
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if (RB_LEFT(tmp) == NULL ||
|
246 |
|
|
RB_COLOR(RB_LEFT(tmp)) == RB_BLACK) {
|
247 |
|
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struct rb_node *oright;
|
248 |
|
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if ((oright = RB_RIGHT(tmp)))
|
249 |
|
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RB_COLOR(oright) = RB_BLACK;
|
250 |
|
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RB_COLOR(tmp) = RB_RED;
|
251 |
|
|
RB_ROTATE_LEFT(head, tmp, oright);
|
252 |
|
|
tmp = RB_LEFT(parent);
|
253 |
|
|
}
|
254 |
|
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RB_COLOR(tmp) = RB_COLOR(parent);
|
255 |
|
|
RB_COLOR(parent) = RB_BLACK;
|
256 |
|
|
if (RB_LEFT(tmp))
|
257 |
|
|
RB_COLOR(RB_LEFT(tmp)) = RB_BLACK;
|
258 |
|
|
RB_ROTATE_RIGHT(head, parent, tmp);
|
259 |
|
|
elm = RB_HEAD(head);
|
260 |
|
|
break;
|
261 |
|
|
}
|
262 |
|
|
}
|
263 |
|
|
}
|
264 |
|
|
if (elm)
|
265 |
|
|
RB_COLOR(elm) = RB_BLACK;
|
266 |
|
|
}
|
267 |
|
|
|
268 |
|
|
/* Note name changed. Guess why :) */
|
269 |
|
|
void rb_erase(struct rb_node *elm, struct rb_root *head)
|
270 |
|
|
{
|
271 |
|
|
struct rb_node *child, *parent, *old = elm;
|
272 |
|
|
int color;
|
273 |
|
|
if (RB_LEFT(elm) == NULL)
|
274 |
|
|
child = RB_RIGHT(elm);
|
275 |
|
|
else if (RB_RIGHT(elm) == NULL)
|
276 |
|
|
child = RB_LEFT(elm);
|
277 |
|
|
else {
|
278 |
|
|
struct rb_node *left;
|
279 |
|
|
elm = RB_RIGHT(elm);
|
280 |
|
|
while ((left = RB_LEFT(elm)))
|
281 |
|
|
elm = left;
|
282 |
|
|
child = RB_RIGHT(elm);
|
283 |
|
|
parent = RB_PARENT(elm);
|
284 |
|
|
color = RB_COLOR(elm);
|
285 |
|
|
if (child)
|
286 |
|
|
RB_PARENT(child) = parent;
|
287 |
|
|
if (parent) {
|
288 |
|
|
if (RB_LEFT(parent) == elm)
|
289 |
|
|
RB_LEFT(parent) = child;
|
290 |
|
|
else
|
291 |
|
|
RB_RIGHT(parent) = child;
|
292 |
|
|
RB_AUGMENT(parent);
|
293 |
|
|
} else
|
294 |
|
|
RB_HEAD(head) = child;
|
295 |
|
|
if (RB_PARENT(elm) == old)
|
296 |
|
|
parent = elm;
|
297 |
|
|
(elm) = (old);
|
298 |
|
|
if (RB_PARENT(old)) {
|
299 |
|
|
if (RB_LEFT(RB_PARENT(old)) == old)
|
300 |
|
|
RB_LEFT(RB_PARENT(old)) = elm;
|
301 |
|
|
else
|
302 |
|
|
RB_RIGHT(RB_PARENT(old)) = elm;
|
303 |
|
|
RB_AUGMENT(RB_PARENT(old));
|
304 |
|
|
} else
|
305 |
|
|
RB_HEAD(head) = elm;
|
306 |
|
|
RB_PARENT(RB_LEFT(old)) = elm;
|
307 |
|
|
if (RB_RIGHT(old))
|
308 |
|
|
RB_PARENT(RB_RIGHT(old)) = elm;
|
309 |
|
|
if (parent) {
|
310 |
|
|
left = parent;
|
311 |
|
|
do {
|
312 |
|
|
RB_AUGMENT(left);
|
313 |
|
|
} while ((left = RB_PARENT(left)));
|
314 |
|
|
}
|
315 |
|
|
goto color;
|
316 |
|
|
}
|
317 |
|
|
parent = RB_PARENT(elm);
|
318 |
|
|
color = RB_COLOR(elm);
|
319 |
|
|
if (child)
|
320 |
|
|
RB_PARENT(child) = parent;
|
321 |
|
|
if (parent) {
|
322 |
|
|
if (RB_LEFT(parent) == elm)
|
323 |
|
|
RB_LEFT(parent) = child;
|
324 |
|
|
else
|
325 |
|
|
RB_RIGHT(parent) = child;
|
326 |
|
|
RB_AUGMENT(parent);
|
327 |
|
|
} else
|
328 |
|
|
RB_HEAD(head) = child;
|
329 |
|
|
color:
|
330 |
|
|
if (color == RB_BLACK)
|
331 |
|
|
rb_remove_color(head, parent, child);
|
332 |
|
|
}
|
333 |
|
|
|
334 |
|
|
struct rb_node *rb_next(struct rb_node *elm)
|
335 |
|
|
{
|
336 |
|
|
if (RB_RIGHT(elm)) {
|
337 |
|
|
elm = RB_RIGHT(elm);
|
338 |
|
|
while (RB_LEFT(elm))
|
339 |
|
|
elm = RB_LEFT(elm);
|
340 |
|
|
} else {
|
341 |
|
|
if (RB_PARENT(elm) &&
|
342 |
|
|
(elm == RB_LEFT(RB_PARENT(elm))))
|
343 |
|
|
elm = RB_PARENT(elm);
|
344 |
|
|
else {
|
345 |
|
|
while (RB_PARENT(elm) &&
|
346 |
|
|
(elm == RB_RIGHT(RB_PARENT(elm))))
|
347 |
|
|
elm = RB_PARENT(elm);
|
348 |
|
|
elm = RB_PARENT(elm);
|
349 |
|
|
}
|
350 |
|
|
}
|
351 |
|
|
return (elm);
|
352 |
|
|
}
|
353 |
|
|
|
354 |
|
|
struct rb_node *rb_prev(struct rb_node *elm)
|
355 |
|
|
{
|
356 |
|
|
if (RB_LEFT(elm)) {
|
357 |
|
|
elm = RB_LEFT(elm);
|
358 |
|
|
while (RB_RIGHT(elm))
|
359 |
|
|
elm = RB_RIGHT(elm);
|
360 |
|
|
} else {
|
361 |
|
|
if (RB_PARENT(elm) &&
|
362 |
|
|
(elm == RB_RIGHT(RB_PARENT(elm))))
|
363 |
|
|
elm = RB_PARENT(elm);
|
364 |
|
|
else {
|
365 |
|
|
while (RB_PARENT(elm) &&
|
366 |
|
|
(elm == RB_LEFT(RB_PARENT(elm))))
|
367 |
|
|
elm = RB_PARENT(elm);
|
368 |
|
|
elm = RB_PARENT(elm);
|
369 |
|
|
}
|
370 |
|
|
}
|
371 |
|
|
return (elm);
|
372 |
|
|
}
|
373 |
|
|
|
374 |
|
|
/* These ones are lifted from Linux -- but that's OK because I
|
375 |
|
|
wrote them. dwmw2. */
|
376 |
|
|
struct rb_node *rb_first(struct rb_root *root)
|
377 |
|
|
{
|
378 |
|
|
struct rb_node *n;
|
379 |
|
|
|
380 |
|
|
n = root->rb_node;
|
381 |
|
|
if (!n)
|
382 |
|
|
return 0;
|
383 |
|
|
while (n->rb_left)
|
384 |
|
|
n = n->rb_left;
|
385 |
|
|
return n;
|
386 |
|
|
}
|
387 |
|
|
|
388 |
|
|
void rb_replace_node(struct rb_node *victim, struct rb_node *new,
|
389 |
|
|
struct rb_root *root)
|
390 |
|
|
{
|
391 |
|
|
struct rb_node *parent = victim->rb_parent;
|
392 |
|
|
|
393 |
|
|
/* Set the surrounding nodes to point to the replacement */
|
394 |
|
|
if (parent) {
|
395 |
|
|
if (victim == parent->rb_left)
|
396 |
|
|
parent->rb_left = new;
|
397 |
|
|
else
|
398 |
|
|
parent->rb_right = new;
|
399 |
|
|
} else {
|
400 |
|
|
root->rb_node = new;
|
401 |
|
|
}
|
402 |
|
|
if (victim->rb_left)
|
403 |
|
|
victim->rb_left->rb_parent = new;
|
404 |
|
|
if (victim->rb_right)
|
405 |
|
|
victim->rb_right->rb_parent = new;
|
406 |
|
|
|
407 |
|
|
/* Copy the pointers/colour from the victim to the replacement */
|
408 |
|
|
*new = *victim;
|
409 |
|
|
}
|