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Add Niels Provos' famous splay and red-black tree implementation
This is the OpenBSD sys/tree.h r1.14 Signed-off-by: Joachim Nilsson <troglobit@gmail.com>
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@@ -1,7 +1,7 @@
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ACLOCAL_AMFLAGS = -I m4
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lib_LTLIBRARIES = libite.la
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include_HEADERS = lite.h queue.h conio.h
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include_HEADERS = lite.h queue.h conio.h tree.h
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libite_la_SOURCES = chomp.c copyfile.c dir.c fexist.c fisdir.c fmode.c fsendfile.c \
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ifconfig.c lfile.c makepath.c pidfile.c pidfilefn.c progress.c \
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rsync.c strlcpy.c strlcat.c strtonum.c tempfile.c tree.c
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@@ -6,7 +6,7 @@ Libite is a lightweight library of *frog DNA*. It can be used to fill
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the gaps in any dinosaur project. It holds useful functions and macros
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developed by both [Finit][1] and the [OpenBSD][2] project. Most notably
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the string functions: [strlcpy(3)][3], [strlcat(3)][3] and the highly
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useful *BSD [sys/queue.h][4] API.
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useful *BSD [sys/queue.h][4] and [sys/tree.h][7] API's.
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Libite aims to fill in the gaps missing in GLIBC/EGLIBC. (It does not
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aimo to become another [GLIB][5] though.) One such gap in GLIBC is the
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@@ -237,7 +237,7 @@ Generic Functions
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OpenBSD Functions
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-----------------
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The following are the popular OpenBSD string functions.
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The following are popular OpenBSD functions and highly useful macros.
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- `pidfile(basename)`
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@@ -264,6 +264,12 @@ The following are the popular OpenBSD string functions.
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http://www.openbsd.org/cgi-bin/man.cgi/OpenBSD-current/man3/LIST_EMPTY.3
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- `sys/tree.h` API
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Niels Provos' famous splay and red-black tree implementation.
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http://www.openbsd.org/cgi-bin/man.cgi/OpenBSD-current/man3/SPLAY_FOREACH.3
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Build & Install
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---------------
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@@ -289,6 +295,7 @@ TODO
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[4]: http://www.openbsd.org/cgi-bin/man.cgi/OpenBSD-current/man3/LIST_EMPTY.3
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[5]: https://developer.gnome.org/glib/
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[6]: http://troglobit.com/blog/2015/07/02/howto-using-lite-with-a-git-based-application/
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[7]: http://www.openbsd.org/cgi-bin/man.cgi/OpenBSD-current/man3/SPLAY_FOREACH.3
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[MIT]: https://en.wikipedia.org/wiki/MIT_License
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[ISC]: https://en.wikipedia.org/wiki/ISC_license
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[BSD]: https://en.wikipedia.org/wiki/BSD_licenses
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@@ -0,0 +1,748 @@
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/* $OpenBSD: tree.h,v 1.14 2015/05/25 03:07:49 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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/*
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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 __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))) { \
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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 { \
|
||||
(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); \
|
||||
} else \
|
||||
(head)->rbh_root = (tmp); \
|
||||
RB_RIGHT(tmp, field) = (elm); \
|
||||
RB_PARENT(elm, field) = (tmp); \
|
||||
RB_AUGMENT(tmp); \
|
||||
if ((RB_PARENT(tmp, field))) \
|
||||
RB_AUGMENT(RB_PARENT(tmp, field)); \
|
||||
} while (0)
|
||||
|
||||
/* Generates prototypes and inline functions */
|
||||
#define RB_PROTOTYPE(name, type, field, cmp) \
|
||||
RB_PROTOTYPE_INTERNAL(name, type, field, cmp,)
|
||||
#define RB_PROTOTYPE_STATIC(name, type, field, cmp) \
|
||||
RB_PROTOTYPE_INTERNAL(name, type, field, cmp, __attribute__((__unused__)) static)
|
||||
#define RB_PROTOTYPE_INTERNAL(name, type, field, cmp, attr) \
|
||||
attr void name##_RB_INSERT_COLOR(struct name *, struct type *); \
|
||||
attr void name##_RB_REMOVE_COLOR(struct name *, struct type *, struct type *);\
|
||||
attr struct type *name##_RB_REMOVE(struct name *, struct type *); \
|
||||
attr struct type *name##_RB_INSERT(struct name *, struct type *); \
|
||||
attr struct type *name##_RB_FIND(struct name *, struct type *); \
|
||||
attr struct type *name##_RB_NFIND(struct name *, struct type *); \
|
||||
attr struct type *name##_RB_NEXT(struct type *); \
|
||||
attr struct type *name##_RB_PREV(struct type *); \
|
||||
attr 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) \
|
||||
RB_GENERATE_INTERNAL(name, type, field, cmp,)
|
||||
#define RB_GENERATE_STATIC(name, type, field, cmp) \
|
||||
RB_GENERATE_INTERNAL(name, type, field, cmp, __attribute__((__unused__)) static)
|
||||
#define RB_GENERATE_INTERNAL(name, type, field, cmp, attr) \
|
||||
attr 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; \
|
||||
} \
|
||||
\
|
||||
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))
|
||||
|
||||
#endif /* _SYS_TREE_H_ */
|
||||
Reference in new issue
Block a user