mirror of
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1007 lines
33 KiB
C
Executable File
1007 lines
33 KiB
C
Executable File
/* $OpenBSD: tree.h,v 1.29 2017/07/30 19:27:20 deraadt 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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#include <sys/_null.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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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 __unused __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 __unused __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 __unused __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))) { \
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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 (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) do {} while (0)
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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); \
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if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) { \
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if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \
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RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \
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else \
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RB_RIGHT(RB_PARENT(elm, field), 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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RB_PARENT(elm, field) = (tmp); \
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RB_AUGMENT(tmp); \
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if ((RB_PARENT(tmp, field))) \
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RB_AUGMENT(RB_PARENT(tmp, field)); \
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} while (0)
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#define RB_ROTATE_RIGHT(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))) { \
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RB_PARENT(RB_RIGHT(tmp, field), field) = (elm); \
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} \
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RB_AUGMENT(elm); \
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if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) { \
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if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \
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RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \
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else \
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RB_RIGHT(RB_PARENT(elm, field), 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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RB_PARENT(elm, field) = (tmp); \
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RB_AUGMENT(tmp); \
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if ((RB_PARENT(tmp, field))) \
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RB_AUGMENT(RB_PARENT(tmp, field)); \
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} while (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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RB_PROTOTYPE_INTERNAL(name, type, field, cmp,)
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#define RB_PROTOTYPE_STATIC(name, type, field, cmp) \
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RB_PROTOTYPE_INTERNAL(name, type, field, cmp, __attribute__((__unused__)) static)
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#define RB_PROTOTYPE_INTERNAL(name, type, field, cmp, attr) \
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attr void name##_RB_INSERT_COLOR(struct name *, struct type *); \
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attr void name##_RB_REMOVE_COLOR(struct name *, struct type *, struct type *);\
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attr struct type *name##_RB_REMOVE(struct name *, struct type *); \
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attr struct type *name##_RB_INSERT(struct name *, struct type *); \
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attr struct type *name##_RB_FIND(struct name *, struct type *); \
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attr struct type *name##_RB_NFIND(struct name *, struct type *); \
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attr struct type *name##_RB_NEXT(struct type *); \
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attr struct type *name##_RB_PREV(struct type *); \
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attr struct type *name##_RB_MINMAX(struct name *, int); \
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\
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/* Main rb operation.
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* Moves node close to the key of elm to top
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*/
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#define RB_GENERATE(name, type, field, cmp) \
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RB_GENERATE_INTERNAL(name, type, field, cmp,)
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#define RB_GENERATE_STATIC(name, type, field, cmp) \
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RB_GENERATE_INTERNAL(name, type, field, cmp, __attribute__((__unused__)) static)
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#define RB_GENERATE_INTERNAL(name, type, field, cmp, attr) \
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attr void \
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name##_RB_INSERT_COLOR(struct name *head, struct type *elm) \
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{ \
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struct type *parent, *gparent, *tmp; \
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while ((parent = RB_PARENT(elm, field)) && \
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RB_COLOR(parent, field) == RB_RED) { \
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gparent = RB_PARENT(parent, field); \
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if (parent == RB_LEFT(gparent, field)) { \
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tmp = RB_RIGHT(gparent, field); \
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if (tmp && RB_COLOR(tmp, field) == RB_RED) { \
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RB_COLOR(tmp, field) = RB_BLACK; \
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RB_SET_BLACKRED(parent, gparent, field);\
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elm = gparent; \
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continue; \
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} \
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if (RB_RIGHT(parent, field) == elm) { \
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RB_ROTATE_LEFT(head, parent, tmp, field);\
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tmp = parent; \
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parent = elm; \
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elm = tmp; \
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} \
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RB_SET_BLACKRED(parent, gparent, field); \
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RB_ROTATE_RIGHT(head, gparent, tmp, field); \
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} else { \
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tmp = RB_LEFT(gparent, field); \
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if (tmp && RB_COLOR(tmp, field) == RB_RED) { \
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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; \
|
|
} \
|
|
\
|
|
attr 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; \
|
|
} \
|
|
\
|
|
attr 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))) \
|
|
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); \
|
|
return (old); \
|
|
} \
|
|
\
|
|
/* Inserts a node into the RB tree */ \
|
|
attr 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 */ \
|
|
attr 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); \
|
|
} \
|
|
\
|
|
/* Finds the first node greater than or equal to the search key */ \
|
|
attr struct type * \
|
|
name##_RB_NFIND(struct name *head, struct type *elm) \
|
|
{ \
|
|
struct type *tmp = RB_ROOT(head); \
|
|
struct type *res = NULL; \
|
|
int comp; \
|
|
while (tmp) { \
|
|
comp = cmp(elm, tmp); \
|
|
if (comp < 0) { \
|
|
res = tmp; \
|
|
tmp = RB_LEFT(tmp, field); \
|
|
} \
|
|
else if (comp > 0) \
|
|
tmp = RB_RIGHT(tmp, field); \
|
|
else \
|
|
return (tmp); \
|
|
} \
|
|
return (res); \
|
|
} \
|
|
\
|
|
/* ARGSUSED */ \
|
|
attr 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 (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); \
|
|
} \
|
|
\
|
|
/* ARGSUSED */ \
|
|
attr 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 (RB_PARENT(elm, field) && \
|
|
(elm == RB_RIGHT(RB_PARENT(elm, field), field))) \
|
|
elm = RB_PARENT(elm, field); \
|
|
else { \
|
|
while (RB_PARENT(elm, field) && \
|
|
(elm == RB_LEFT(RB_PARENT(elm, field), field)))\
|
|
elm = RB_PARENT(elm, field); \
|
|
elm = RB_PARENT(elm, field); \
|
|
} \
|
|
} \
|
|
return (elm); \
|
|
} \
|
|
\
|
|
attr 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_NFIND(name, x, y) name##_RB_NFIND(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_SAFE(x, name, head, y) \
|
|
for ((x) = RB_MIN(name, head); \
|
|
((x) != NULL) && ((y) = name##_RB_NEXT(x), 1); \
|
|
(x) = (y))
|
|
|
|
#define RB_FOREACH_REVERSE(x, name, head) \
|
|
for ((x) = RB_MAX(name, head); \
|
|
(x) != NULL; \
|
|
(x) = name##_RB_PREV(x))
|
|
|
|
#define RB_FOREACH_REVERSE_SAFE(x, name, head, y) \
|
|
for ((x) = RB_MAX(name, head); \
|
|
((x) != NULL) && ((y) = name##_RB_PREV(x), 1); \
|
|
(x) = (y))
|
|
|
|
|
|
/*
|
|
* Copyright (c) 2016 David Gwynne <dlg@openbsd.org>
|
|
*
|
|
* Permission to use, copy, modify, and distribute this software for any
|
|
* purpose with or without fee is hereby granted, provided that the above
|
|
* copyright notice and this permission notice appear in all copies.
|
|
*
|
|
* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
|
|
* WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
|
|
* MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
|
|
* ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
|
|
* WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
|
|
* ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
|
|
* OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
|
|
*/
|
|
|
|
struct rb_type {
|
|
int (*t_compare)(const void *, const void *);
|
|
void (*t_augment)(void *);
|
|
unsigned int t_offset; /* offset of rb_entry in type */
|
|
};
|
|
|
|
struct rb_tree {
|
|
struct rb_entry *rbt_root;
|
|
};
|
|
|
|
struct rb_entry {
|
|
struct rb_entry *rbt_parent;
|
|
struct rb_entry *rbt_left;
|
|
struct rb_entry *rbt_right;
|
|
unsigned int rbt_color;
|
|
};
|
|
|
|
#define RBT_HEAD(_name, _type) \
|
|
struct _name { \
|
|
struct rb_tree rbh_root; \
|
|
}
|
|
|
|
#define RBT_ENTRY(_type) struct rb_entry
|
|
|
|
static inline void
|
|
_rb_init(struct rb_tree *rbt)
|
|
{
|
|
rbt->rbt_root = NULL;
|
|
}
|
|
|
|
static inline int
|
|
_rb_empty(struct rb_tree *rbt)
|
|
{
|
|
return (rbt->rbt_root == NULL);
|
|
}
|
|
|
|
void *_rb_insert(const struct rb_type *, struct rb_tree *, void *);
|
|
void *_rb_remove(const struct rb_type *, struct rb_tree *, void *);
|
|
void *_rb_find(const struct rb_type *, struct rb_tree *, const void *);
|
|
void *_rb_nfind(const struct rb_type *, struct rb_tree *, const void *);
|
|
void *_rb_root(const struct rb_type *, struct rb_tree *);
|
|
void *_rb_min(const struct rb_type *, struct rb_tree *);
|
|
void *_rb_max(const struct rb_type *, struct rb_tree *);
|
|
void *_rb_next(const struct rb_type *, void *);
|
|
void *_rb_prev(const struct rb_type *, void *);
|
|
void *_rb_left(const struct rb_type *, void *);
|
|
void *_rb_right(const struct rb_type *, void *);
|
|
void *_rb_parent(const struct rb_type *, void *);
|
|
void _rb_set_left(const struct rb_type *, void *, void *);
|
|
void _rb_set_right(const struct rb_type *, void *, void *);
|
|
void _rb_set_parent(const struct rb_type *, void *, void *);
|
|
void _rb_poison(const struct rb_type *, void *, unsigned long);
|
|
int _rb_check(const struct rb_type *, void *, unsigned long);
|
|
|
|
#define RBT_INITIALIZER(_head) { { NULL } }
|
|
|
|
#define RBT_PROTOTYPE(_name, _type, _field, _cmp) \
|
|
extern const struct rb_type *const _name##_RBT_TYPE; \
|
|
\
|
|
__unused static inline void \
|
|
_name##_RBT_INIT(struct _name *head) \
|
|
{ \
|
|
_rb_init(&head->rbh_root); \
|
|
} \
|
|
\
|
|
__unused static inline struct _type * \
|
|
_name##_RBT_INSERT(struct _name *head, struct _type *elm) \
|
|
{ \
|
|
return _rb_insert(_name##_RBT_TYPE, &head->rbh_root, elm); \
|
|
} \
|
|
\
|
|
__unused static inline struct _type * \
|
|
_name##_RBT_REMOVE(struct _name *head, struct _type *elm) \
|
|
{ \
|
|
return _rb_remove(_name##_RBT_TYPE, &head->rbh_root, elm); \
|
|
} \
|
|
\
|
|
__unused static inline struct _type * \
|
|
_name##_RBT_FIND(struct _name *head, const struct _type *key) \
|
|
{ \
|
|
return _rb_find(_name##_RBT_TYPE, &head->rbh_root, key); \
|
|
} \
|
|
\
|
|
__unused static inline struct _type * \
|
|
_name##_RBT_NFIND(struct _name *head, const struct _type *key) \
|
|
{ \
|
|
return _rb_nfind(_name##_RBT_TYPE, &head->rbh_root, key); \
|
|
} \
|
|
\
|
|
__unused static inline struct _type * \
|
|
_name##_RBT_ROOT(struct _name *head) \
|
|
{ \
|
|
return _rb_root(_name##_RBT_TYPE, &head->rbh_root); \
|
|
} \
|
|
\
|
|
__unused static inline int \
|
|
_name##_RBT_EMPTY(struct _name *head) \
|
|
{ \
|
|
return _rb_empty(&head->rbh_root); \
|
|
} \
|
|
\
|
|
__unused static inline struct _type * \
|
|
_name##_RBT_MIN(struct _name *head) \
|
|
{ \
|
|
return _rb_min(_name##_RBT_TYPE, &head->rbh_root); \
|
|
} \
|
|
\
|
|
__unused static inline struct _type * \
|
|
_name##_RBT_MAX(struct _name *head) \
|
|
{ \
|
|
return _rb_max(_name##_RBT_TYPE, &head->rbh_root); \
|
|
} \
|
|
\
|
|
__unused static inline struct _type * \
|
|
_name##_RBT_NEXT(struct _type *elm) \
|
|
{ \
|
|
return _rb_next(_name##_RBT_TYPE, elm); \
|
|
} \
|
|
\
|
|
__unused static inline struct _type * \
|
|
_name##_RBT_PREV(struct _type *elm) \
|
|
{ \
|
|
return _rb_prev(_name##_RBT_TYPE, elm); \
|
|
} \
|
|
\
|
|
__unused static inline struct _type * \
|
|
_name##_RBT_LEFT(struct _type *elm) \
|
|
{ \
|
|
return _rb_left(_name##_RBT_TYPE, elm); \
|
|
} \
|
|
\
|
|
__unused static inline struct _type * \
|
|
_name##_RBT_RIGHT(struct _type *elm) \
|
|
{ \
|
|
return _rb_right(_name##_RBT_TYPE, elm); \
|
|
} \
|
|
\
|
|
__unused static inline struct _type * \
|
|
_name##_RBT_PARENT(struct _type *elm) \
|
|
{ \
|
|
return _rb_parent(_name##_RBT_TYPE, elm); \
|
|
} \
|
|
\
|
|
__unused static inline void \
|
|
_name##_RBT_SET_LEFT(struct _type *elm, struct _type *left) \
|
|
{ \
|
|
return _rb_set_left(_name##_RBT_TYPE, elm, left); \
|
|
} \
|
|
\
|
|
__unused static inline void \
|
|
_name##_RBT_SET_RIGHT(struct _type *elm, struct _type *right) \
|
|
{ \
|
|
return _rb_set_right(_name##_RBT_TYPE, elm, right); \
|
|
} \
|
|
\
|
|
__unused static inline void \
|
|
_name##_RBT_SET_PARENT(struct _type *elm, struct _type *parent) \
|
|
{ \
|
|
return _rb_set_parent(_name##_RBT_TYPE, elm, parent); \
|
|
} \
|
|
\
|
|
__unused static inline void \
|
|
_name##_RBT_POISON(struct _type *elm, unsigned long poison) \
|
|
{ \
|
|
return _rb_poison(_name##_RBT_TYPE, elm, poison); \
|
|
} \
|
|
\
|
|
__unused static inline int \
|
|
_name##_RBT_CHECK(struct _type *elm, unsigned long poison) \
|
|
{ \
|
|
return _rb_check(_name##_RBT_TYPE, elm, poison); \
|
|
}
|
|
|
|
#define RBT_GENERATE_INTERNAL(_name, _type, _field, _cmp, _aug) \
|
|
static int \
|
|
_name##_RBT_COMPARE(const void *lptr, const void *rptr) \
|
|
{ \
|
|
const struct _type *l = lptr, *r = rptr; \
|
|
return _cmp(l, r); \
|
|
} \
|
|
static const struct rb_type _name##_RBT_INFO = { \
|
|
_name##_RBT_COMPARE, \
|
|
_aug, \
|
|
offsetof(struct _type, _field), \
|
|
}; \
|
|
const struct rb_type *const _name##_RBT_TYPE = &_name##_RBT_INFO
|
|
|
|
#define RBT_GENERATE_AUGMENT(_name, _type, _field, _cmp, _aug) \
|
|
static void \
|
|
_name##_RBT_AUGMENT(void *ptr) \
|
|
{ \
|
|
struct _type *p = ptr; \
|
|
return _aug(p); \
|
|
} \
|
|
RBT_GENERATE_INTERNAL(_name, _type, _field, _cmp, _name##_RBT_AUGMENT)
|
|
|
|
#define RBT_GENERATE(_name, _type, _field, _cmp) \
|
|
RBT_GENERATE_INTERNAL(_name, _type, _field, _cmp, NULL)
|
|
|
|
#define RBT_INIT(_name, _head) _name##_RBT_INIT(_head)
|
|
#define RBT_INSERT(_name, _head, _elm) _name##_RBT_INSERT(_head, _elm)
|
|
#define RBT_REMOVE(_name, _head, _elm) _name##_RBT_REMOVE(_head, _elm)
|
|
#define RBT_FIND(_name, _head, _key) _name##_RBT_FIND(_head, _key)
|
|
#define RBT_NFIND(_name, _head, _key) _name##_RBT_NFIND(_head, _key)
|
|
#define RBT_ROOT(_name, _head) _name##_RBT_ROOT(_head)
|
|
#define RBT_EMPTY(_name, _head) _name##_RBT_EMPTY(_head)
|
|
#define RBT_MIN(_name, _head) _name##_RBT_MIN(_head)
|
|
#define RBT_MAX(_name, _head) _name##_RBT_MAX(_head)
|
|
#define RBT_NEXT(_name, _elm) _name##_RBT_NEXT(_elm)
|
|
#define RBT_PREV(_name, _elm) _name##_RBT_PREV(_elm)
|
|
#define RBT_LEFT(_name, _elm) _name##_RBT_LEFT(_elm)
|
|
#define RBT_RIGHT(_name, _elm) _name##_RBT_RIGHT(_elm)
|
|
#define RBT_PARENT(_name, _elm) _name##_RBT_PARENT(_elm)
|
|
#define RBT_SET_LEFT(_name, _elm, _l) _name##_RBT_SET_LEFT(_elm, _l)
|
|
#define RBT_SET_RIGHT(_name, _elm, _r) _name##_RBT_SET_RIGHT(_elm, _r)
|
|
#define RBT_SET_PARENT(_name, _elm, _p) _name##_RBT_SET_PARENT(_elm, _p)
|
|
#define RBT_POISON(_name, _elm, _p) _name##_RBT_POISON(_elm, _p)
|
|
#define RBT_CHECK(_name, _elm, _p) _name##_RBT_CHECK(_elm, _p)
|
|
|
|
#define RBT_FOREACH(_e, _name, _head) \
|
|
for ((_e) = RBT_MIN(_name, (_head)); \
|
|
(_e) != NULL; \
|
|
(_e) = RBT_NEXT(_name, (_e)))
|
|
|
|
#define RBT_FOREACH_SAFE(_e, _name, _head, _n) \
|
|
for ((_e) = RBT_MIN(_name, (_head)); \
|
|
(_e) != NULL && ((_n) = RBT_NEXT(_name, (_e)), 1); \
|
|
(_e) = (_n))
|
|
|
|
#define RBT_FOREACH_REVERSE(_e, _name, _head) \
|
|
for ((_e) = RBT_MAX(_name, (_head)); \
|
|
(_e) != NULL; \
|
|
(_e) = RBT_PREV(_name, (_e)))
|
|
|
|
#define RBT_FOREACH_REVERSE_SAFE(_e, _name, _head, _n) \
|
|
for ((_e) = RBT_MAX(_name, (_head)); \
|
|
(_e) != NULL && ((_n) = RBT_PREV(_name, (_e)), 1); \
|
|
(_e) = (_n))
|
|
|
|
#endif /* _SYS_TREE_H_ */
|