| 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391392393394395396397398399400401402403404405406407408 | /*========================================================================////      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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