670 lines
22 KiB
C
670 lines
22 KiB
C
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/* $NetBSD: tree.h,v 1.1.1.1 2002/04/22 07:47:47 itojun Exp $ */
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/* $OpenBSD: tree.h,v 1.4 2002/03/26 02:47:28 hugh 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 _SYS_TREE_H_
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#define _SYS_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 (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 (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 (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 (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 (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 (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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\
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static __inline void \
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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; \
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} \
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(head)->sph_root = (elm); \
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} \
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\
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static __inline void \
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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; \
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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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} \
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} \
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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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void 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))) { \
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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-back 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 (0)
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#define RB_BLACK 0
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#define RB_RED 1
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#define RB_ENTRY(type) \
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struct { \
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struct type *rbe_left; /* left element */ \
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struct type *rbe_right; /* right element */ \
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struct type *rbe_parent; /* parent element */ \
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int rbe_color; /* node color */ \
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}
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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_COLOR(elm, field) (elm)->field.rbe_color
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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(elm, parent, field) do { \
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RB_PARENT(elm, field) = parent; \
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RB_LEFT(elm, field) = RB_RIGHT(elm, field) = NULL; \
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RB_COLOR(elm, field) = RB_RED; \
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} while (0)
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#define RB_SET_BLACKRED(black, red, field) do { \
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RB_COLOR(black, field) = RB_BLACK; \
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RB_COLOR(red, field) = 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, field) do { \
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(tmp) = RB_RIGHT(elm, field); \
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if ((RB_RIGHT(elm, field) = RB_LEFT(tmp, field))) { \
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RB_PARENT(RB_LEFT(tmp, field), field) = (elm); \
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} \
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||
|
|
RB_AUGMENT(elm); \
|
||
|
|
if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) { \
|
||
|
|
if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \
|
||
|
|
RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \
|
||
|
|
else \
|
||
|
|
RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \
|
||
|
|
RB_AUGMENT(RB_PARENT(elm, field)); \
|
||
|
|
} else \
|
||
|
|
(head)->rbh_root = (tmp); \
|
||
|
|
RB_LEFT(tmp, field) = (elm); \
|
||
|
|
RB_PARENT(elm, field) = (tmp); \
|
||
|
|
RB_AUGMENT(tmp); \
|
||
|
|
} while (0)
|
||
|
|
|
||
|
|
#define RB_ROTATE_RIGHT(head, elm, tmp, field) do { \
|
||
|
|
(tmp) = RB_LEFT(elm, field); \
|
||
|
|
if ((RB_LEFT(elm, field) = RB_RIGHT(tmp, field))) { \
|
||
|
|
RB_PARENT(RB_RIGHT(tmp, field), field) = (elm); \
|
||
|
|
} \
|
||
|
|
RB_AUGMENT(elm); \
|
||
|
|
if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) { \
|
||
|
|
if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \
|
||
|
|
RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \
|
||
|
|
else \
|
||
|
|
RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \
|
||
|
|
RB_AUGMENT(RB_PARENT(elm, field)); \
|
||
|
|
} else \
|
||
|
|
(head)->rbh_root = (tmp); \
|
||
|
|
RB_RIGHT(tmp, field) = (elm); \
|
||
|
|
RB_PARENT(elm, field) = (tmp); \
|
||
|
|
RB_AUGMENT(tmp); \
|
||
|
|
} while (0)
|
||
|
|
|
||
|
|
/* Generates prototypes and inline functions */
|
||
|
|
#define RB_PROTOTYPE(name, type, field, cmp) \
|
||
|
|
void name##_RB_INSERT_COLOR(struct name *, struct type *); \
|
||
|
|
void name##_RB_REMOVE_COLOR(struct name *, struct type *, struct type *);\
|
||
|
|
void name##_RB_REMOVE(struct name *, struct type *); \
|
||
|
|
struct type *name##_RB_INSERT(struct name *, struct type *); \
|
||
|
|
struct type *name##_RB_FIND(struct name *, struct type *); \
|
||
|
|
struct type *name##_RB_NEXT(struct name *, struct type *); \
|
||
|
|
struct type *name##_RB_MINMAX(struct name *, int); \
|
||
|
|
\
|
||
|
|
|
||
|
|
/* Main rb operation.
|
||
|
|
* Moves node close to the key of elm to top
|
||
|
|
*/
|
||
|
|
#define RB_GENERATE(name, type, field, cmp) \
|
||
|
|
void \
|
||
|
|
name##_RB_INSERT_COLOR(struct name *head, struct type *elm) \
|
||
|
|
{ \
|
||
|
|
struct type *parent, *gparent, *tmp; \
|
||
|
|
while ((parent = RB_PARENT(elm, field)) && \
|
||
|
|
RB_COLOR(parent, field) == RB_RED) { \
|
||
|
|
gparent = RB_PARENT(parent, field); \
|
||
|
|
if (parent == RB_LEFT(gparent, field)) { \
|
||
|
|
tmp = RB_RIGHT(gparent, field); \
|
||
|
|
if (tmp && RB_COLOR(tmp, field) == RB_RED) { \
|
||
|
|
RB_COLOR(tmp, field) = RB_BLACK; \
|
||
|
|
RB_SET_BLACKRED(parent, gparent, field);\
|
||
|
|
elm = gparent; \
|
||
|
|
continue; \
|
||
|
|
} \
|
||
|
|
if (RB_RIGHT(parent, field) == elm) { \
|
||
|
|
RB_ROTATE_LEFT(head, parent, tmp, field);\
|
||
|
|
tmp = parent; \
|
||
|
|
parent = elm; \
|
||
|
|
elm = tmp; \
|
||
|
|
} \
|
||
|
|
RB_SET_BLACKRED(parent, gparent, field); \
|
||
|
|
RB_ROTATE_RIGHT(head, gparent, tmp, field); \
|
||
|
|
} else { \
|
||
|
|
tmp = RB_LEFT(gparent, field); \
|
||
|
|
if (tmp && RB_COLOR(tmp, field) == RB_RED) { \
|
||
|
|
RB_COLOR(tmp, field) = RB_BLACK; \
|
||
|
|
RB_SET_BLACKRED(parent, gparent, field);\
|
||
|
|
elm = gparent; \
|
||
|
|
continue; \
|
||
|
|
} \
|
||
|
|
if (RB_LEFT(parent, field) == elm) { \
|
||
|
|
RB_ROTATE_RIGHT(head, parent, tmp, field);\
|
||
|
|
tmp = parent; \
|
||
|
|
parent = elm; \
|
||
|
|
elm = tmp; \
|
||
|
|
} \
|
||
|
|
RB_SET_BLACKRED(parent, gparent, field); \
|
||
|
|
RB_ROTATE_LEFT(head, gparent, tmp, field); \
|
||
|
|
} \
|
||
|
|
} \
|
||
|
|
RB_COLOR(head->rbh_root, field) = RB_BLACK; \
|
||
|
|
} \
|
||
|
|
\
|
||
|
|
void \
|
||
|
|
name##_RB_REMOVE_COLOR(struct name *head, struct type *parent, struct type *elm) \
|
||
|
|
{ \
|
||
|
|
struct type *tmp; \
|
||
|
|
while ((elm == NULL || RB_COLOR(elm, field) == RB_BLACK) && \
|
||
|
|
elm != RB_ROOT(head)) { \
|
||
|
|
if (RB_LEFT(parent, field) == elm) { \
|
||
|
|
tmp = RB_RIGHT(parent, field); \
|
||
|
|
if (RB_COLOR(tmp, field) == RB_RED) { \
|
||
|
|
RB_SET_BLACKRED(tmp, parent, field); \
|
||
|
|
RB_ROTATE_LEFT(head, parent, tmp, field);\
|
||
|
|
tmp = RB_RIGHT(parent, field); \
|
||
|
|
} \
|
||
|
|
if ((RB_LEFT(tmp, field) == NULL || \
|
||
|
|
RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\
|
||
|
|
(RB_RIGHT(tmp, field) == NULL || \
|
||
|
|
RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\
|
||
|
|
RB_COLOR(tmp, field) = RB_RED; \
|
||
|
|
elm = parent; \
|
||
|
|
parent = RB_PARENT(elm, field); \
|
||
|
|
} else { \
|
||
|
|
if (RB_RIGHT(tmp, field) == NULL || \
|
||
|
|
RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK) {\
|
||
|
|
struct type *oleft; \
|
||
|
|
if ((oleft = RB_LEFT(tmp, field)))\
|
||
|
|
RB_COLOR(oleft, field) = RB_BLACK;\
|
||
|
|
RB_COLOR(tmp, field) = RB_RED; \
|
||
|
|
RB_ROTATE_RIGHT(head, tmp, oleft, field);\
|
||
|
|
tmp = RB_RIGHT(parent, field); \
|
||
|
|
} \
|
||
|
|
RB_COLOR(tmp, field) = RB_COLOR(parent, field);\
|
||
|
|
RB_COLOR(parent, field) = RB_BLACK; \
|
||
|
|
if (RB_RIGHT(tmp, field)) \
|
||
|
|
RB_COLOR(RB_RIGHT(tmp, field), field) = RB_BLACK;\
|
||
|
|
RB_ROTATE_LEFT(head, parent, tmp, field);\
|
||
|
|
elm = RB_ROOT(head); \
|
||
|
|
break; \
|
||
|
|
} \
|
||
|
|
} else { \
|
||
|
|
tmp = RB_LEFT(parent, field); \
|
||
|
|
if (RB_COLOR(tmp, field) == RB_RED) { \
|
||
|
|
RB_SET_BLACKRED(tmp, parent, field); \
|
||
|
|
RB_ROTATE_RIGHT(head, parent, tmp, field);\
|
||
|
|
tmp = RB_LEFT(parent, field); \
|
||
|
|
} \
|
||
|
|
if ((RB_LEFT(tmp, field) == NULL || \
|
||
|
|
RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\
|
||
|
|
(RB_RIGHT(tmp, field) == NULL || \
|
||
|
|
RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\
|
||
|
|
RB_COLOR(tmp, field) = RB_RED; \
|
||
|
|
elm = parent; \
|
||
|
|
parent = RB_PARENT(elm, field); \
|
||
|
|
} else { \
|
||
|
|
if (RB_LEFT(tmp, field) == NULL || \
|
||
|
|
RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) {\
|
||
|
|
struct type *oright; \
|
||
|
|
if ((oright = RB_RIGHT(tmp, field)))\
|
||
|
|
RB_COLOR(oright, field) = RB_BLACK;\
|
||
|
|
RB_COLOR(tmp, field) = RB_RED; \
|
||
|
|
RB_ROTATE_LEFT(head, tmp, oright, field);\
|
||
|
|
tmp = RB_LEFT(parent, field); \
|
||
|
|
} \
|
||
|
|
RB_COLOR(tmp, field) = RB_COLOR(parent, field);\
|
||
|
|
RB_COLOR(parent, field) = RB_BLACK; \
|
||
|
|
if (RB_LEFT(tmp, field)) \
|
||
|
|
RB_COLOR(RB_LEFT(tmp, field), field) = RB_BLACK;\
|
||
|
|
RB_ROTATE_RIGHT(head, parent, tmp, field);\
|
||
|
|
elm = RB_ROOT(head); \
|
||
|
|
break; \
|
||
|
|
} \
|
||
|
|
} \
|
||
|
|
} \
|
||
|
|
if (elm) \
|
||
|
|
RB_COLOR(elm, field) = RB_BLACK; \
|
||
|
|
} \
|
||
|
|
\
|
||
|
|
void \
|
||
|
|
name##_RB_REMOVE(struct name *head, struct type *elm) \
|
||
|
|
{ \
|
||
|
|
struct type *child, *parent; \
|
||
|
|
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 *old = elm, *left; \
|
||
|
|
elm = RB_RIGHT(elm, field); \
|
||
|
|
while ((left = RB_LEFT(elm, field))) \
|
||
|
|
elm = left; \
|
||
|
|
child = RB_RIGHT(elm, field); \
|
||
|
|
parent = RB_PARENT(elm, field); \
|
||
|
|
color = RB_COLOR(elm, field); \
|
||
|
|
if (child) \
|
||
|
|
RB_PARENT(child, field) = parent; \
|
||
|
|
if (parent) { \
|
||
|
|
if (RB_LEFT(parent, field) == elm) \
|
||
|
|
RB_LEFT(parent, field) = child; \
|
||
|
|
else \
|
||
|
|
RB_RIGHT(parent, field) = child; \
|
||
|
|
RB_AUGMENT(parent); \
|
||
|
|
} else \
|
||
|
|
RB_ROOT(head) = child; \
|
||
|
|
if (RB_PARENT(elm, field) == old) \
|
||
|
|
parent = elm; \
|
||
|
|
(elm)->field = (old)->field; \
|
||
|
|
if (RB_PARENT(old, field)) { \
|
||
|
|
if (RB_LEFT(RB_PARENT(old, field), field) == old)\
|
||
|
|
RB_LEFT(RB_PARENT(old, field), field) = elm;\
|
||
|
|
else \
|
||
|
|
RB_RIGHT(RB_PARENT(old, field), field) = elm;\
|
||
|
|
RB_AUGMENT(RB_PARENT(old, field)); \
|
||
|
|
} else \
|
||
|
|
RB_ROOT(head) = elm; \
|
||
|
|
RB_PARENT(RB_LEFT(old, field), field) = elm; \
|
||
|
|
if (RB_RIGHT(old, field)) \
|
||
|
|
RB_PARENT(RB_RIGHT(old, field), field) = elm; \
|
||
|
|
if (parent) { \
|
||
|
|
left = parent; \
|
||
|
|
do { \
|
||
|
|
RB_AUGMENT(left); \
|
||
|
|
} while ((left = RB_PARENT(left, field))); \
|
||
|
|
} \
|
||
|
|
goto color; \
|
||
|
|
} \
|
||
|
|
parent = RB_PARENT(elm, field); \
|
||
|
|
color = RB_COLOR(elm, field); \
|
||
|
|
if (child) \
|
||
|
|
RB_PARENT(child, field) = parent; \
|
||
|
|
if (parent) { \
|
||
|
|
if (RB_LEFT(parent, field) == elm) \
|
||
|
|
RB_LEFT(parent, field) = child; \
|
||
|
|
else \
|
||
|
|
RB_RIGHT(parent, field) = child; \
|
||
|
|
RB_AUGMENT(parent); \
|
||
|
|
} else \
|
||
|
|
RB_ROOT(head) = child; \
|
||
|
|
color: \
|
||
|
|
if (color == RB_BLACK) \
|
||
|
|
name##_RB_REMOVE_COLOR(head, parent, child); \
|
||
|
|
} \
|
||
|
|
\
|
||
|
|
/* 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(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); \
|
||
|
|
} \
|
||
|
|
\
|
||
|
|
struct type * \
|
||
|
|
name##_RB_NEXT(struct name *head, struct type *elm) \
|
||
|
|
{ \
|
||
|
|
if (RB_RIGHT(elm, field)) { \
|
||
|
|
elm = RB_RIGHT(elm, field); \
|
||
|
|
while (RB_LEFT(elm, field)) \
|
||
|
|
elm = RB_LEFT(elm, field); \
|
||
|
|
} else { \
|
||
|
|
if (RB_PARENT(elm, field) && \
|
||
|
|
(elm == RB_LEFT(RB_PARENT(elm, field), field))) \
|
||
|
|
elm = RB_PARENT(elm, field); \
|
||
|
|
else { \
|
||
|
|
while (RB_PARENT(elm, field) && \
|
||
|
|
(elm == RB_RIGHT(RB_PARENT(elm, field), field)))\
|
||
|
|
elm = RB_PARENT(elm, field); \
|
||
|
|
elm = RB_PARENT(elm, field); \
|
||
|
|
} \
|
||
|
|
} \
|
||
|
|
return (elm); \
|
||
|
|
} \
|
||
|
|
\
|
||
|
|
struct type * \
|
||
|
|
name##_RB_MINMAX(struct name *head, int val) \
|
||
|
|
{ \
|
||
|
|
struct type *tmp = RB_ROOT(head); \
|
||
|
|
struct type *parent = NULL; \
|
||
|
|
while (tmp) { \
|
||
|
|
parent = tmp; \
|
||
|
|
if (val < 0) \
|
||
|
|
tmp = RB_LEFT(tmp, field); \
|
||
|
|
else \
|
||
|
|
tmp = RB_RIGHT(tmp, field); \
|
||
|
|
} \
|
||
|
|
return (parent); \
|
||
|
|
}
|
||
|
|
|
||
|
|
#define RB_NEGINF -1
|
||
|
|
#define RB_INF 1
|
||
|
|
|
||
|
|
#define RB_INSERT(name, x, y) name##_RB_INSERT(x, y)
|
||
|
|
#define RB_REMOVE(name, x, y) name##_RB_REMOVE(x, y)
|
||
|
|
#define RB_FIND(name, x, y) name##_RB_FIND(x, y)
|
||
|
|
#define RB_NEXT(name, x, y) name##_RB_NEXT(x, 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(head, x))
|
||
|
|
|
||
|
|
#endif /* _SYS_TREE_H_ */
|