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6643d832d9
Support pf rdr on Mac OS X 10.7, 10.8 and 10.9 by including the missing Apple headers in the source tree and enable private Apple code. Since we are using an interface marked private by Apple, this code is very experimental. Issue: #15 Reported by: Amit Chowdhary
803 lines
28 KiB
C
803 lines
28 KiB
C
/*
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* Copyright (c) 2009-2010 Apple Inc. All rights reserved.
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*
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* @APPLE_OSREFERENCE_LICENSE_HEADER_START@
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*
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* This file contains Original Code and/or Modifications of Original Code
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* as defined in and that are subject to the Apple Public Source License
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* Version 2.0 (the 'License'). You may not use this file except in
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* compliance with the License. The rights granted to you under the License
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* may not be used to create, or enable the creation or redistribution of,
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* unlawful or unlicensed copies of an Apple operating system, or to
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* circumvent, violate, or enable the circumvention or violation of, any
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* terms of an Apple operating system software license agreement.
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*
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* Please obtain a copy of the License at
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* http://www.opensource.apple.com/apsl/ and read it before using this file.
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*
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* The Original Code and all software distributed under the License are
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* distributed on an 'AS IS' basis, WITHOUT WARRANTY OF ANY KIND, EITHER
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* EXPRESS OR IMPLIED, AND APPLE HEREBY DISCLAIMS ALL SUCH WARRANTIES,
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* INCLUDING WITHOUT LIMITATION, ANY WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE, QUIET ENJOYMENT OR NON-INFRINGEMENT.
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* Please see the License for the specific language governing rights and
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* limitations under the License.
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*
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* @APPLE_OSREFERENCE_LICENSE_HEADER_END@
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*/
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/* $NetBSD: tree.h,v 1.13 2006/08/27 22:32:38 christos Exp $ */
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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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#ifndef _LIBKERN_TREE_H_
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#define _LIBKERN_TREE_H_
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/*
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* This file defines data structures for different types of trees:
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* splay trees and red-black trees.
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*
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* A splay tree is a self-organizing data structure. Every operation
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* on the tree causes a splay to happen. The splay moves the requested
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* node to the root of the tree and partly rebalances it.
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*
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* This has the benefit that request locality causes faster lookups as
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* the requested nodes move to the top of the tree. On the other hand,
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* every lookup causes memory writes.
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*
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* The Balance Theorem bounds the total access time for m operations
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* and n inserts on an initially empty tree as O((m + n)lg n). The
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* amortized cost for a sequence of m accesses to a splay tree is O(lg n);
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*
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* A red-black tree is a binary search tree with the node color as an
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* extra attribute. It fulfills a set of conditions:
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* - every search path from the root to a leaf consists of the
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* same number of black nodes,
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* - each red node (except for the root) has a black parent,
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* - each leaf node is black.
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*
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* Every operation on a red-black tree is bounded as O(lg n).
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* The maximum height of a red-black tree is 2lg (n+1).
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*/
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#define SPLAY_HEAD(name, type) \
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struct name { \
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struct type *sph_root; /* root of the tree */ \
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}
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#define SPLAY_INITIALIZER(root) \
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{ NULL }
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#define SPLAY_INIT(root) do { \
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(root)->sph_root = NULL; \
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} while (/*CONSTCOND*/ 0)
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#define SPLAY_ENTRY(type) \
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struct { \
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struct type *spe_left; /* left element */ \
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struct type *spe_right; /* right element */ \
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}
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#define SPLAY_LEFT(elm, field) (elm)->field.spe_left
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#define SPLAY_RIGHT(elm, field) (elm)->field.spe_right
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#define SPLAY_ROOT(head) (head)->sph_root
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#define SPLAY_EMPTY(head) (SPLAY_ROOT(head) == NULL)
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/* SPLAY_ROTATE_{LEFT,RIGHT} expect that tmp hold SPLAY_{RIGHT,LEFT} */
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#define SPLAY_ROTATE_RIGHT(head, tmp, field) do { \
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SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(tmp, field); \
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SPLAY_RIGHT(tmp, field) = (head)->sph_root; \
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(head)->sph_root = tmp; \
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} while (/*CONSTCOND*/ 0)
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#define SPLAY_ROTATE_LEFT(head, tmp, field) do { \
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SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(tmp, field); \
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SPLAY_LEFT(tmp, field) = (head)->sph_root; \
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(head)->sph_root = tmp; \
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} while (/*CONSTCOND*/ 0)
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#define SPLAY_LINKLEFT(head, tmp, field) do { \
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SPLAY_LEFT(tmp, field) = (head)->sph_root; \
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tmp = (head)->sph_root; \
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(head)->sph_root = SPLAY_LEFT((head)->sph_root, field); \
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} while (/*CONSTCOND*/ 0)
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#define SPLAY_LINKRIGHT(head, tmp, field) do { \
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SPLAY_RIGHT(tmp, field) = (head)->sph_root; \
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tmp = (head)->sph_root; \
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(head)->sph_root = SPLAY_RIGHT((head)->sph_root, field); \
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} while (/*CONSTCOND*/ 0)
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#define SPLAY_ASSEMBLE(head, node, left, right, field) do { \
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SPLAY_RIGHT(left, field) = SPLAY_LEFT((head)->sph_root, field); \
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SPLAY_LEFT(right, field) = SPLAY_RIGHT((head)->sph_root, field);\
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SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(node, field); \
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SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(node, field); \
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} while (/*CONSTCOND*/ 0)
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/* Generates prototypes and inline functions */
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#define SPLAY_PROTOTYPE(name, type, field, cmp) \
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void name##_SPLAY(struct name *, struct type *); \
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void name##_SPLAY_MINMAX(struct name *, int); \
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struct type *name##_SPLAY_INSERT(struct name *, struct type *); \
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struct type *name##_SPLAY_REMOVE(struct name *, struct type *); \
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\
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/* Finds the node with the same key as elm */ \
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static __inline struct type * \
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name##_SPLAY_FIND(struct name *head, struct type *elm) \
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{ \
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if (SPLAY_EMPTY(head)) \
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return(NULL); \
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name##_SPLAY(head, elm); \
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if ((cmp)(elm, (head)->sph_root) == 0) \
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return (head->sph_root); \
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return (NULL); \
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} \
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\
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static __inline struct type * \
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name##_SPLAY_NEXT(struct name *head, struct type *elm) \
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{ \
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name##_SPLAY(head, elm); \
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if (SPLAY_RIGHT(elm, field) != NULL) { \
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elm = SPLAY_RIGHT(elm, field); \
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while (SPLAY_LEFT(elm, field) != NULL) { \
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elm = SPLAY_LEFT(elm, field); \
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} \
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} else \
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elm = NULL; \
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return (elm); \
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} \
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\
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static __inline struct type * \
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name##_SPLAY_MIN_MAX(struct name *head, int val) \
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{ \
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name##_SPLAY_MINMAX(head, val); \
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return (SPLAY_ROOT(head)); \
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}
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/* Main splay operation.
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* Moves node close to the key of elm to top
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*/
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#define SPLAY_GENERATE(name, type, field, cmp) \
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struct type * \
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name##_SPLAY_INSERT(struct name *head, struct type *elm) \
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{ \
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if (SPLAY_EMPTY(head)) { \
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SPLAY_LEFT(elm, field) = SPLAY_RIGHT(elm, field) = NULL; \
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} else { \
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int __comp; \
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name##_SPLAY(head, elm); \
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__comp = (cmp)(elm, (head)->sph_root); \
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if(__comp < 0) { \
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SPLAY_LEFT(elm, field) = SPLAY_LEFT((head)->sph_root, field);\
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SPLAY_RIGHT(elm, field) = (head)->sph_root; \
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SPLAY_LEFT((head)->sph_root, field) = NULL; \
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} else if (__comp > 0) { \
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SPLAY_RIGHT(elm, field) = SPLAY_RIGHT((head)->sph_root, field);\
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SPLAY_LEFT(elm, field) = (head)->sph_root; \
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SPLAY_RIGHT((head)->sph_root, field) = NULL; \
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} else \
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return ((head)->sph_root); \
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} \
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(head)->sph_root = (elm); \
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return (NULL); \
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} \
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\
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struct type * \
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name##_SPLAY_REMOVE(struct name *head, struct type *elm) \
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{ \
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struct type *__tmp; \
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if (SPLAY_EMPTY(head)) \
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return (NULL); \
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name##_SPLAY(head, elm); \
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if ((cmp)(elm, (head)->sph_root) == 0) { \
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if (SPLAY_LEFT((head)->sph_root, field) == NULL) { \
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(head)->sph_root = SPLAY_RIGHT((head)->sph_root, field);\
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} else { \
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__tmp = SPLAY_RIGHT((head)->sph_root, field); \
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(head)->sph_root = SPLAY_LEFT((head)->sph_root, field);\
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name##_SPLAY(head, elm); \
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SPLAY_RIGHT((head)->sph_root, field) = __tmp; \
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} \
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return (elm); \
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} \
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return (NULL); \
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} \
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\
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void \
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name##_SPLAY(struct name *head, struct type *elm) \
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{ \
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struct type __node, *__left, *__right, *__tmp; \
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int __comp; \
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\
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SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\
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__left = __right = &__node; \
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\
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while ((__comp = (cmp)(elm, (head)->sph_root)) != 0) { \
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if (__comp < 0) { \
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__tmp = SPLAY_LEFT((head)->sph_root, field); \
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if (__tmp == NULL) \
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break; \
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if ((cmp)(elm, __tmp) < 0){ \
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SPLAY_ROTATE_RIGHT(head, __tmp, field); \
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if (SPLAY_LEFT((head)->sph_root, field) == NULL)\
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break; \
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} \
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SPLAY_LINKLEFT(head, __right, field); \
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} else if (__comp > 0) { \
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__tmp = SPLAY_RIGHT((head)->sph_root, field); \
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if (__tmp == NULL) \
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break; \
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if ((cmp)(elm, __tmp) > 0){ \
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SPLAY_ROTATE_LEFT(head, __tmp, field); \
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if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\
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break; \
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} \
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SPLAY_LINKRIGHT(head, __left, field); \
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} \
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} \
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SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \
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} \
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\
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/* Splay with either the minimum or the maximum element \
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* Used to find minimum or maximum element in tree. \
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*/ \
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void name##_SPLAY_MINMAX(struct name *head, int __comp) \
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{ \
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struct type __node, *__left, *__right, *__tmp; \
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\
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SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\
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__left = __right = &__node; \
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\
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while (1) { \
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if (__comp < 0) { \
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__tmp = SPLAY_LEFT((head)->sph_root, field); \
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if (__tmp == NULL) \
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break; \
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if (__comp < 0){ \
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SPLAY_ROTATE_RIGHT(head, __tmp, field); \
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if (SPLAY_LEFT((head)->sph_root, field) == NULL)\
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break; \
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} \
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SPLAY_LINKLEFT(head, __right, field); \
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} else if (__comp > 0) { \
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__tmp = SPLAY_RIGHT((head)->sph_root, field); \
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if (__tmp == NULL) \
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break; \
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if (__comp > 0) { \
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SPLAY_ROTATE_LEFT(head, __tmp, field); \
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if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\
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break; \
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} \
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SPLAY_LINKRIGHT(head, __left, field); \
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} \
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} \
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SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \
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}
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#define SPLAY_NEGINF -1
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#define SPLAY_INF 1
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#define SPLAY_INSERT(name, x, y) name##_SPLAY_INSERT(x, y)
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#define SPLAY_REMOVE(name, x, y) name##_SPLAY_REMOVE(x, y)
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#define SPLAY_FIND(name, x, y) name##_SPLAY_FIND(x, y)
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#define SPLAY_NEXT(name, x, y) name##_SPLAY_NEXT(x, y)
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#define SPLAY_MIN(name, x) (SPLAY_EMPTY(x) ? NULL \
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: name##_SPLAY_MIN_MAX(x, SPLAY_NEGINF))
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#define SPLAY_MAX(name, x) (SPLAY_EMPTY(x) ? NULL \
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: name##_SPLAY_MIN_MAX(x, SPLAY_INF))
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#define SPLAY_FOREACH(x, name, head) \
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for ((x) = SPLAY_MIN(name, head); \
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(x) != NULL; \
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(x) = SPLAY_NEXT(name, head, x))
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/* Macros that define a red-black tree */
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#define RB_HEAD(name, type) \
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struct name { \
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struct type *rbh_root; /* root of the tree */ \
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}
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#define RB_INITIALIZER(root) \
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{ NULL }
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#define RB_INIT(root) do { \
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(root)->rbh_root = NULL; \
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} while (/*CONSTCOND*/ 0)
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#define RB_BLACK 0
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#define RB_RED 1
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#define RB_PLACEHOLDER NULL
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#define RB_ENTRY(type) \
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struct { \
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struct type *rbe_parent; /* parent element */ \
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struct type *rbe_left; /* left element */ \
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struct type *rbe_right; /* right element */ \
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}
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#define RB_COLOR_MASK (uintptr_t)0x1
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#define RB_LEFT(elm, field) (elm)->field.rbe_left
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#define RB_RIGHT(elm, field) (elm)->field.rbe_right
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#define _RB_PARENT(elm, field) (elm)->field.rbe_parent
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#define RB_ROOT(head) (head)->rbh_root
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#define RB_EMPTY(head) (RB_ROOT(head) == NULL)
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#define RB_SET(name, elm, parent, field) do { \
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name##_RB_SETPARENT(elm, parent); \
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RB_LEFT(elm, field) = RB_RIGHT(elm, field) = NULL; \
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name##_RB_SETCOLOR(elm, RB_RED); \
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} while (/*CONSTCOND*/ 0)
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#define RB_SET_BLACKRED(name, black, red, field) do { \
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name##_RB_SETCOLOR(black, RB_BLACK); \
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name##_RB_SETCOLOR(red, RB_RED); \
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} while (/*CONSTCOND*/ 0)
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#ifndef RB_AUGMENT
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#define RB_AUGMENT(x) (void)(x)
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#endif
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#define RB_ROTATE_LEFT(name, head, elm, tmp, field) do { \
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(tmp) = RB_RIGHT(elm, field); \
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if ((RB_RIGHT(elm, field) = RB_LEFT(tmp, field)) != NULL) { \
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name##_RB_SETPARENT(RB_LEFT(tmp, field),(elm)); \
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} \
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RB_AUGMENT(elm); \
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if (name##_RB_SETPARENT(tmp, name##_RB_GETPARENT(elm)) != NULL) { \
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if ((elm) == RB_LEFT(name##_RB_GETPARENT(elm), field)) \
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RB_LEFT(name##_RB_GETPARENT(elm), field) = (tmp); \
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else \
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RB_RIGHT(name##_RB_GETPARENT(elm), field) = (tmp); \
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} else \
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(head)->rbh_root = (tmp); \
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RB_LEFT(tmp, field) = (elm); \
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name##_RB_SETPARENT(elm, (tmp)); \
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RB_AUGMENT(tmp); \
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if ((name##_RB_GETPARENT(tmp))) \
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RB_AUGMENT(name##_RB_GETPARENT(tmp)); \
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} while (/*CONSTCOND*/ 0)
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#define RB_ROTATE_RIGHT(name, head, elm, tmp, field) do { \
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(tmp) = RB_LEFT(elm, field); \
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if ((RB_LEFT(elm, field) = RB_RIGHT(tmp, field)) != NULL) { \
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name##_RB_SETPARENT(RB_RIGHT(tmp, field), (elm)); \
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} \
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RB_AUGMENT(elm); \
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if (name##_RB_SETPARENT(tmp, name##_RB_GETPARENT(elm)) != NULL) { \
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if ((elm) == RB_LEFT(name##_RB_GETPARENT(elm), field)) \
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RB_LEFT(name##_RB_GETPARENT(elm), field) = (tmp); \
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else \
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RB_RIGHT(name##_RB_GETPARENT(elm), field) = (tmp); \
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} else \
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(head)->rbh_root = (tmp); \
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RB_RIGHT(tmp, field) = (elm); \
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name##_RB_SETPARENT(elm, tmp); \
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RB_AUGMENT(tmp); \
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if ((name##_RB_GETPARENT(tmp))) \
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RB_AUGMENT(name##_RB_GETPARENT(tmp)); \
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} while (/*CONSTCOND*/ 0)
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/* Generates prototypes and inline functions */
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#define RB_PROTOTYPE(name, type, field, cmp) \
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void name##_RB_INSERT_COLOR(struct name *, struct type *); \
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void name##_RB_REMOVE_COLOR(struct name *, struct type *, struct type *);\
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struct type *name##_RB_REMOVE(struct name *, struct type *); \
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struct type *name##_RB_INSERT(struct name *, struct type *); \
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struct type *name##_RB_FIND(struct name *, struct type *); \
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struct type *name##_RB_NEXT(struct type *); \
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struct type *name##_RB_MINMAX(struct name *, int); \
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struct type *name##_RB_GETPARENT(struct type*); \
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struct type *name##_RB_SETPARENT(struct type*, struct type*); \
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int name##_RB_GETCOLOR(struct type*); \
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void name##_RB_SETCOLOR(struct type*,int);
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/* Generates prototypes (with storage class) and inline functions */
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#define RB_PROTOTYPE_SC(_sc_, name, type, field, cmp) \
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_sc_ void name##_RB_INSERT_COLOR(struct name *, struct type *); \
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_sc_ void name##_RB_REMOVE_COLOR(struct name *, struct type *, struct type *); \
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_sc_ struct type *name##_RB_REMOVE(struct name *, struct type *); \
|
|
_sc_ struct type *name##_RB_INSERT(struct name *, struct type *); \
|
|
_sc_ struct type *name##_RB_FIND(struct name *, struct type *); \
|
|
_sc_ struct type *name##_RB_NEXT(struct type *); \
|
|
_sc_ struct type *name##_RB_MINMAX(struct name *, int); \
|
|
_sc_ struct type *name##_RB_GETPARENT(struct type*); \
|
|
_sc_ struct type *name##_RB_SETPARENT(struct type*, struct type*); \
|
|
_sc_ int name##_RB_GETCOLOR(struct type*); \
|
|
_sc_ void name##_RB_SETCOLOR(struct type*,int);
|
|
|
|
|
|
/* Main rb operation.
|
|
* Moves node close to the key of elm to top
|
|
*/
|
|
#define RB_GENERATE(name, type, field, cmp) \
|
|
struct type *name##_RB_GETPARENT(struct type *elm) { \
|
|
struct type *parent = _RB_PARENT(elm, field); \
|
|
if( parent != NULL) { \
|
|
parent = (struct type*)((uintptr_t)parent & ~RB_COLOR_MASK);\
|
|
return( (struct type*) ( (parent == (struct type*) RB_PLACEHOLDER) ? NULL: parent));\
|
|
} \
|
|
return((struct type*)NULL); \
|
|
} \
|
|
int name##_RB_GETCOLOR(struct type *elm) { \
|
|
int color = 0; \
|
|
color = (int)((uintptr_t)_RB_PARENT(elm,field) & RB_COLOR_MASK);\
|
|
return(color); \
|
|
} \
|
|
void name##_RB_SETCOLOR(struct type *elm,int color) { \
|
|
struct type *parent = name##_RB_GETPARENT(elm); \
|
|
if(parent == (struct type*)NULL) \
|
|
parent = (struct type*) RB_PLACEHOLDER; \
|
|
_RB_PARENT(elm, field) = (struct type*)((uintptr_t)parent | (unsigned int)color);\
|
|
} \
|
|
struct type *name##_RB_SETPARENT(struct type *elm, struct type *parent) { \
|
|
int color = name##_RB_GETCOLOR(elm); \
|
|
_RB_PARENT(elm, field) = parent; \
|
|
if(color) name##_RB_SETCOLOR(elm, color); \
|
|
return(name##_RB_GETPARENT(elm)); \
|
|
} \
|
|
\
|
|
void \
|
|
name##_RB_INSERT_COLOR(struct name *head, struct type *elm) \
|
|
{ \
|
|
struct type *parent, *gparent, *tmp; \
|
|
while ((parent = name##_RB_GETPARENT(elm)) != NULL && \
|
|
name##_RB_GETCOLOR(parent) == RB_RED) { \
|
|
gparent = name##_RB_GETPARENT(parent); \
|
|
if (parent == RB_LEFT(gparent, field)) { \
|
|
tmp = RB_RIGHT(gparent, field); \
|
|
if (tmp && name##_RB_GETCOLOR(tmp) == RB_RED) { \
|
|
name##_RB_SETCOLOR(tmp, RB_BLACK); \
|
|
RB_SET_BLACKRED(name, parent, gparent, field);\
|
|
elm = gparent; \
|
|
continue; \
|
|
} \
|
|
if (RB_RIGHT(parent, field) == elm) { \
|
|
RB_ROTATE_LEFT(name, head, parent, tmp, field);\
|
|
tmp = parent; \
|
|
parent = elm; \
|
|
elm = tmp; \
|
|
} \
|
|
RB_SET_BLACKRED(name, parent, gparent, field); \
|
|
RB_ROTATE_RIGHT(name,head, gparent, tmp, field); \
|
|
} else { \
|
|
tmp = RB_LEFT(gparent, field); \
|
|
if (tmp && name##_RB_GETCOLOR(tmp) == RB_RED) { \
|
|
name##_RB_SETCOLOR(tmp, RB_BLACK); \
|
|
RB_SET_BLACKRED(name, parent, gparent, field);\
|
|
elm = gparent; \
|
|
continue; \
|
|
} \
|
|
if (RB_LEFT(parent, field) == elm) { \
|
|
RB_ROTATE_RIGHT(name, head, parent, tmp, field);\
|
|
tmp = parent; \
|
|
parent = elm; \
|
|
elm = tmp; \
|
|
} \
|
|
RB_SET_BLACKRED(name, parent, gparent, field); \
|
|
RB_ROTATE_LEFT(name, head, gparent, tmp, field); \
|
|
} \
|
|
} \
|
|
name##_RB_SETCOLOR(head->rbh_root, RB_BLACK); \
|
|
} \
|
|
\
|
|
void \
|
|
name##_RB_REMOVE_COLOR(struct name *head, struct type *parent, struct type *elm) \
|
|
{ \
|
|
struct type *tmp; \
|
|
while ((elm == NULL || name##_RB_GETCOLOR(elm) == RB_BLACK) && \
|
|
elm != RB_ROOT(head)) { \
|
|
if (RB_LEFT(parent, field) == elm) { \
|
|
tmp = RB_RIGHT(parent, field); \
|
|
if (name##_RB_GETCOLOR(tmp) == RB_RED) { \
|
|
RB_SET_BLACKRED(name, tmp, parent, field); \
|
|
RB_ROTATE_LEFT(name, head, parent, tmp, field);\
|
|
tmp = RB_RIGHT(parent, field); \
|
|
} \
|
|
if ((RB_LEFT(tmp, field) == NULL || \
|
|
name##_RB_GETCOLOR(RB_LEFT(tmp, field)) == RB_BLACK) &&\
|
|
(RB_RIGHT(tmp, field) == NULL || \
|
|
name##_RB_GETCOLOR(RB_RIGHT(tmp, field)) == RB_BLACK)) {\
|
|
name##_RB_SETCOLOR(tmp, RB_RED); \
|
|
elm = parent; \
|
|
parent = name##_RB_GETPARENT(elm); \
|
|
} else { \
|
|
if (RB_RIGHT(tmp, field) == NULL || \
|
|
name##_RB_GETCOLOR(RB_RIGHT(tmp, field)) == RB_BLACK) {\
|
|
struct type *oleft; \
|
|
if ((oleft = RB_LEFT(tmp, field)) \
|
|
!= NULL) \
|
|
name##_RB_SETCOLOR(oleft, RB_BLACK);\
|
|
name##_RB_SETCOLOR(tmp, RB_RED); \
|
|
RB_ROTATE_RIGHT(name, head, tmp, oleft, field);\
|
|
tmp = RB_RIGHT(parent, field); \
|
|
} \
|
|
name##_RB_SETCOLOR(tmp, (name##_RB_GETCOLOR(parent)));\
|
|
name##_RB_SETCOLOR(parent, RB_BLACK); \
|
|
if (RB_RIGHT(tmp, field)) \
|
|
name##_RB_SETCOLOR(RB_RIGHT(tmp, field),RB_BLACK);\
|
|
RB_ROTATE_LEFT(name, head, parent, tmp, field);\
|
|
elm = RB_ROOT(head); \
|
|
break; \
|
|
} \
|
|
} else { \
|
|
tmp = RB_LEFT(parent, field); \
|
|
if (name##_RB_GETCOLOR(tmp) == RB_RED) { \
|
|
RB_SET_BLACKRED(name, tmp, parent, field); \
|
|
RB_ROTATE_RIGHT(name, head, parent, tmp, field);\
|
|
tmp = RB_LEFT(parent, field); \
|
|
} \
|
|
if ((RB_LEFT(tmp, field) == NULL || \
|
|
name##_RB_GETCOLOR(RB_LEFT(tmp, field)) == RB_BLACK) &&\
|
|
(RB_RIGHT(tmp, field) == NULL || \
|
|
name##_RB_GETCOLOR(RB_RIGHT(tmp, field)) == RB_BLACK)) {\
|
|
name##_RB_SETCOLOR(tmp, RB_RED); \
|
|
elm = parent; \
|
|
parent = name##_RB_GETPARENT(elm); \
|
|
} else { \
|
|
if (RB_LEFT(tmp, field) == NULL || \
|
|
name##_RB_GETCOLOR(RB_LEFT(tmp, field)) == RB_BLACK) {\
|
|
struct type *oright; \
|
|
if ((oright = RB_RIGHT(tmp, field)) \
|
|
!= NULL) \
|
|
name##_RB_SETCOLOR(oright, RB_BLACK);\
|
|
name##_RB_SETCOLOR(tmp, RB_RED); \
|
|
RB_ROTATE_LEFT(name, head, tmp, oright, field);\
|
|
tmp = RB_LEFT(parent, field); \
|
|
} \
|
|
name##_RB_SETCOLOR(tmp,(name##_RB_GETCOLOR(parent)));\
|
|
name##_RB_SETCOLOR(parent, RB_BLACK); \
|
|
if (RB_LEFT(tmp, field)) \
|
|
name##_RB_SETCOLOR(RB_LEFT(tmp, field), RB_BLACK);\
|
|
RB_ROTATE_RIGHT(name, head, parent, tmp, field);\
|
|
elm = RB_ROOT(head); \
|
|
break; \
|
|
} \
|
|
} \
|
|
} \
|
|
if (elm) \
|
|
name##_RB_SETCOLOR(elm, RB_BLACK); \
|
|
} \
|
|
\
|
|
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)) != NULL) \
|
|
elm = left; \
|
|
child = RB_RIGHT(elm, field); \
|
|
parent = name##_RB_GETPARENT(elm); \
|
|
color = name##_RB_GETCOLOR(elm); \
|
|
if (child) \
|
|
name##_RB_SETPARENT(child, 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 (name##_RB_GETPARENT(elm) == old) \
|
|
parent = elm; \
|
|
(elm)->field = (old)->field; \
|
|
if (name##_RB_GETPARENT(old)) { \
|
|
if (RB_LEFT(name##_RB_GETPARENT(old), field) == old)\
|
|
RB_LEFT(name##_RB_GETPARENT(old), field) = elm;\
|
|
else \
|
|
RB_RIGHT(name##_RB_GETPARENT(old), field) = elm;\
|
|
RB_AUGMENT(name##_RB_GETPARENT(old)); \
|
|
} else \
|
|
RB_ROOT(head) = elm; \
|
|
name##_RB_SETPARENT(RB_LEFT(old, field), elm); \
|
|
if (RB_RIGHT(old, field)) \
|
|
name##_RB_SETPARENT(RB_RIGHT(old, field), elm); \
|
|
if (parent) { \
|
|
left = parent; \
|
|
do { \
|
|
RB_AUGMENT(left); \
|
|
} while ((left = name##_RB_GETPARENT(left)) != NULL); \
|
|
} \
|
|
goto color; \
|
|
} \
|
|
parent = name##_RB_GETPARENT(elm); \
|
|
color = name##_RB_GETCOLOR(elm); \
|
|
if (child) \
|
|
name##_RB_SETPARENT(child, 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 */ \
|
|
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(name, 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 */ \
|
|
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); \
|
|
} \
|
|
\
|
|
/* ARGSUSED */ \
|
|
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 (name##_RB_GETPARENT(elm) && \
|
|
(elm == RB_LEFT(name##_RB_GETPARENT(elm), field))) \
|
|
elm = name##_RB_GETPARENT(elm); \
|
|
else { \
|
|
while (name##_RB_GETPARENT(elm) && \
|
|
(elm == RB_RIGHT(name##_RB_GETPARENT(elm), field)))\
|
|
elm = name##_RB_GETPARENT(elm); \
|
|
elm = name##_RB_GETPARENT(elm); \
|
|
} \
|
|
} \
|
|
return (elm); \
|
|
} \
|
|
\
|
|
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_PROTOTYPE_PREV(name, type, field, cmp) \
|
|
RB_PROTOTYPE(name, type, field, cmp) \
|
|
struct type *name##_RB_PREV(struct type *);
|
|
|
|
|
|
#define RB_PROTOTYPE_SC_PREV(_sc_, name, type, field, cmp) \
|
|
RB_PROTOTYPE_SC(_sc_, name, type, field, cmp) \
|
|
_sc_ struct type *name##_RB_PREV(struct type *);
|
|
|
|
#define RB_GENERATE_PREV(name, type, field, cmp) \
|
|
RB_GENERATE(name, type, field, cmp) \
|
|
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 (name##_RB_GETPARENT(elm) && \
|
|
(elm == RB_RIGHT(name##_RB_GETPARENT(elm), field))) \
|
|
elm = name##_RB_GETPARENT(elm); \
|
|
else { \
|
|
while (name##_RB_GETPARENT(elm) && \
|
|
(elm == RB_LEFT(name##_RB_GETPARENT(elm), field)))\
|
|
elm = name##_RB_GETPARENT(elm); \
|
|
elm = name##_RB_GETPARENT(elm); \
|
|
} \
|
|
} \
|
|
return (elm); \
|
|
} \
|
|
|
|
#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_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_FROM(x, name, y) \
|
|
for ((x) = (y); \
|
|
((x) != NULL) && ((y) = name##_RB_NEXT(x), (x) != NULL); \
|
|
(x) = (y))
|
|
|
|
#define RB_FOREACH_REVERSE_FROM(x, name, y) \
|
|
for ((x) = (y); \
|
|
((x) != NULL) && ((y) = name##_RB_PREV(x), (x) != NULL); \
|
|
(x) = (y))
|
|
|
|
#define RB_FOREACH_SAFE(x, name, head, y) \
|
|
for ((x) = RB_MIN(name, head); \
|
|
((x) != NULL) && ((y) = name##_RB_NEXT(x), (x) != NULL); \
|
|
(x) = (y))
|
|
|
|
#endif /* _LIBKERN_TREE_H_ */
|