2fe8fb192f
There is important information about booting non-ack images in docs/UPDATING. ack/aout-format images can't be built any more, and booting clang/ELF-format ones is a little different. Updating to the new boot monitor is recommended. Changes in this commit: . drop boot monitor -> allowing dropping ack support . facility to copy ELF boot files to /boot so that old boot monitor can still boot fairly easily, see UPDATING . no more ack-format libraries -> single-case libraries . some cleanup of OBJECT_FMT, COMPILER_TYPE, etc cases . drop several ack toolchain commands, but not all support commands (e.g. aal is gone but acksize is not yet). . a few libc files moved to netbsd libc dir . new /bin/date as minix date used code in libc/ . test compile fix . harmonize includes . /usr/lib is no longer special: without ack, /usr/lib plays no kind of special bootstrapping role any more and bootstrapping is done exclusively through packages, so releases depend even less on the state of the machine making them now. . rename nbsd_lib* to lib* . reduce mtree
741 lines
24 KiB
C
741 lines
24 KiB
C
/* $NetBSD: tree.h,v 1.16 2008/03/21 13:07:15 ad Exp $ */
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/* $OpenBSD: tree.h,v 1.7 2002/10/17 21:51:54 art Exp $ */
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/*
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* Copyright 2002 Niels Provos <provos@citi.umich.edu>
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
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* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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* IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
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* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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#ifndef _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 (/*CONSTCOND*/ 0)
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#define SPLAY_ENTRY(type) \
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struct { \
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struct type *spe_left; /* left element */ \
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struct type *spe_right; /* right element */ \
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}
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#define SPLAY_LEFT(elm, field) (elm)->field.spe_left
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#define SPLAY_RIGHT(elm, field) (elm)->field.spe_right
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#define SPLAY_ROOT(head) (head)->sph_root
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#define SPLAY_EMPTY(head) (SPLAY_ROOT(head) == NULL)
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/* SPLAY_ROTATE_{LEFT,RIGHT} expect that tmp hold SPLAY_{RIGHT,LEFT} */
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#define SPLAY_ROTATE_RIGHT(head, tmp, field) do { \
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SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(tmp, field); \
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SPLAY_RIGHT(tmp, field) = (head)->sph_root; \
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(head)->sph_root = tmp; \
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} while (/*CONSTCOND*/ 0)
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#define SPLAY_ROTATE_LEFT(head, tmp, field) do { \
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SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(tmp, field); \
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SPLAY_LEFT(tmp, field) = (head)->sph_root; \
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(head)->sph_root = tmp; \
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} while (/*CONSTCOND*/ 0)
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#define SPLAY_LINKLEFT(head, tmp, field) do { \
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SPLAY_LEFT(tmp, field) = (head)->sph_root; \
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tmp = (head)->sph_root; \
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(head)->sph_root = SPLAY_LEFT((head)->sph_root, field); \
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} while (/*CONSTCOND*/ 0)
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#define SPLAY_LINKRIGHT(head, tmp, field) do { \
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SPLAY_RIGHT(tmp, field) = (head)->sph_root; \
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tmp = (head)->sph_root; \
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(head)->sph_root = SPLAY_RIGHT((head)->sph_root, field); \
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} while (/*CONSTCOND*/ 0)
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#define SPLAY_ASSEMBLE(head, node, left, right, field) do { \
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SPLAY_RIGHT(left, field) = SPLAY_LEFT((head)->sph_root, field); \
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SPLAY_LEFT(right, field) = SPLAY_RIGHT((head)->sph_root, field);\
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SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(node, field); \
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SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(node, field); \
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} while (/*CONSTCOND*/ 0)
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/* Generates prototypes and inline functions */
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#define SPLAY_PROTOTYPE(name, type, field, cmp) \
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void name##_SPLAY(struct name *, struct type *); \
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void name##_SPLAY_MINMAX(struct name *, int); \
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struct type *name##_SPLAY_INSERT(struct name *, struct type *); \
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struct type *name##_SPLAY_REMOVE(struct name *, struct type *); \
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\
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/* Finds the node with the same key as elm */ \
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static __inline struct type * \
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name##_SPLAY_FIND(struct name *head, struct type *elm) \
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{ \
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if (SPLAY_EMPTY(head)) \
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return(NULL); \
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name##_SPLAY(head, elm); \
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if ((cmp)(elm, (head)->sph_root) == 0) \
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return (head->sph_root); \
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return (NULL); \
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} \
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\
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static __inline struct type * \
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name##_SPLAY_NEXT(struct name *head, struct type *elm) \
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{ \
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name##_SPLAY(head, elm); \
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if (SPLAY_RIGHT(elm, field) != NULL) { \
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elm = SPLAY_RIGHT(elm, field); \
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while (SPLAY_LEFT(elm, field) != NULL) { \
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elm = SPLAY_LEFT(elm, field); \
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} \
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} else \
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elm = NULL; \
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return (elm); \
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} \
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\
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static __inline struct type * \
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name##_SPLAY_MIN_MAX(struct name *head, int val) \
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{ \
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name##_SPLAY_MINMAX(head, val); \
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return (SPLAY_ROOT(head)); \
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}
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/* Main splay operation.
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* Moves node close to the key of elm to top
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*/
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#define SPLAY_GENERATE(name, type, field, cmp) \
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struct type * \
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name##_SPLAY_INSERT(struct name *head, struct type *elm) \
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{ \
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if (SPLAY_EMPTY(head)) { \
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SPLAY_LEFT(elm, field) = SPLAY_RIGHT(elm, field) = NULL; \
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} else { \
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int __comp; \
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name##_SPLAY(head, elm); \
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__comp = (cmp)(elm, (head)->sph_root); \
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if(__comp < 0) { \
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SPLAY_LEFT(elm, field) = SPLAY_LEFT((head)->sph_root, field);\
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SPLAY_RIGHT(elm, field) = (head)->sph_root; \
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SPLAY_LEFT((head)->sph_root, field) = NULL; \
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} else if (__comp > 0) { \
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SPLAY_RIGHT(elm, field) = SPLAY_RIGHT((head)->sph_root, field);\
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SPLAY_LEFT(elm, field) = (head)->sph_root; \
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SPLAY_RIGHT((head)->sph_root, field) = NULL; \
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} else \
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return ((head)->sph_root); \
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} \
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(head)->sph_root = (elm); \
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return (NULL); \
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} \
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\
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struct type * \
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name##_SPLAY_REMOVE(struct name *head, struct type *elm) \
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{ \
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struct type *__tmp; \
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if (SPLAY_EMPTY(head)) \
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return (NULL); \
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name##_SPLAY(head, elm); \
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if ((cmp)(elm, (head)->sph_root) == 0) { \
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if (SPLAY_LEFT((head)->sph_root, field) == NULL) { \
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(head)->sph_root = SPLAY_RIGHT((head)->sph_root, field);\
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} else { \
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__tmp = SPLAY_RIGHT((head)->sph_root, field); \
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(head)->sph_root = SPLAY_LEFT((head)->sph_root, field);\
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name##_SPLAY(head, elm); \
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SPLAY_RIGHT((head)->sph_root, field) = __tmp; \
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} \
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return (elm); \
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} \
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return (NULL); \
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} \
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\
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void \
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name##_SPLAY(struct name *head, struct type *elm) \
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{ \
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struct type __node, *__left, *__right, *__tmp; \
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int __comp; \
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\
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SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\
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__left = __right = &__node; \
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\
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while ((__comp = (cmp)(elm, (head)->sph_root)) != 0) { \
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if (__comp < 0) { \
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__tmp = SPLAY_LEFT((head)->sph_root, field); \
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if (__tmp == NULL) \
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break; \
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if ((cmp)(elm, __tmp) < 0){ \
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SPLAY_ROTATE_RIGHT(head, __tmp, field); \
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if (SPLAY_LEFT((head)->sph_root, field) == NULL)\
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break; \
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} \
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SPLAY_LINKLEFT(head, __right, field); \
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} else if (__comp > 0) { \
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__tmp = SPLAY_RIGHT((head)->sph_root, field); \
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if (__tmp == NULL) \
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break; \
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if ((cmp)(elm, __tmp) > 0){ \
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SPLAY_ROTATE_LEFT(head, __tmp, field); \
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if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\
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break; \
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} \
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SPLAY_LINKRIGHT(head, __left, field); \
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} \
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} \
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SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \
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} \
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\
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/* Splay with either the minimum or the maximum element \
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* Used to find minimum or maximum element in tree. \
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*/ \
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void name##_SPLAY_MINMAX(struct name *head, int __comp) \
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{ \
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struct type __node, *__left, *__right, *__tmp; \
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\
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SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\
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__left = __right = &__node; \
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\
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while (1) { \
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if (__comp < 0) { \
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__tmp = SPLAY_LEFT((head)->sph_root, field); \
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if (__tmp == NULL) \
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break; \
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if (__comp < 0){ \
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SPLAY_ROTATE_RIGHT(head, __tmp, field); \
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if (SPLAY_LEFT((head)->sph_root, field) == NULL)\
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break; \
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} \
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SPLAY_LINKLEFT(head, __right, field); \
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} else if (__comp > 0) { \
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__tmp = SPLAY_RIGHT((head)->sph_root, field); \
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if (__tmp == NULL) \
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break; \
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if (__comp > 0) { \
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SPLAY_ROTATE_LEFT(head, __tmp, field); \
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if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\
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break; \
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} \
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SPLAY_LINKRIGHT(head, __left, field); \
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} \
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} \
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SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \
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}
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#define SPLAY_NEGINF -1
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#define SPLAY_INF 1
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#define SPLAY_INSERT(name, x, y) name##_SPLAY_INSERT(x, y)
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#define SPLAY_REMOVE(name, x, y) name##_SPLAY_REMOVE(x, y)
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#define SPLAY_FIND(name, x, y) name##_SPLAY_FIND(x, y)
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#define SPLAY_NEXT(name, x, y) name##_SPLAY_NEXT(x, y)
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#define SPLAY_MIN(name, x) (SPLAY_EMPTY(x) ? NULL \
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: name##_SPLAY_MIN_MAX(x, SPLAY_NEGINF))
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#define SPLAY_MAX(name, x) (SPLAY_EMPTY(x) ? NULL \
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: name##_SPLAY_MIN_MAX(x, SPLAY_INF))
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#define SPLAY_FOREACH(x, name, head) \
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for ((x) = SPLAY_MIN(name, head); \
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(x) != NULL; \
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(x) = SPLAY_NEXT(name, head, x))
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/* Macros that define a red-black tree */
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#define RB_HEAD(name, type) \
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struct name { \
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struct type *rbh_root; /* root of the tree */ \
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}
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#define RB_INITIALIZER(root) \
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{ NULL }
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#define RB_INIT(root) do { \
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(root)->rbh_root = NULL; \
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} while (/*CONSTCOND*/ 0)
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#define RB_BLACK 0
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#define RB_RED 1
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#define RB_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 (/*CONSTCOND*/ 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 (/*CONSTCOND*/ 0)
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#ifndef RB_AUGMENT
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#define RB_AUGMENT(x) (void)(x)
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#endif
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#define RB_ROTATE_LEFT(head, elm, tmp, field) do { \
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(tmp) = RB_RIGHT(elm, field); \
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if ((RB_RIGHT(elm, field) = RB_LEFT(tmp, field)) != NULL) { \
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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)) != NULL) { \
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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 (/*CONSTCOND*/ 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)) != NULL) { \
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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)) != NULL) { \
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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 (/*CONSTCOND*/ 0)
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/* Generates prototypes and inline functions */
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#define RB_PROTOTYPE(name, type, field, cmp) \
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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, __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, __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)) != NULL && \
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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);\
|
|
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)) \
|
|
!= NULL) \
|
|
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)) \
|
|
!= NULL) \
|
|
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)) != NULL) \
|
|
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)) != NULL); \
|
|
} \
|
|
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_REVERSE(x, name, head) \
|
|
for ((x) = RB_MAX(name, head); \
|
|
(x) != NULL; \
|
|
(x) = name##_RB_PREV(x))
|
|
|
|
#endif /* _SYS_TREE_H_ */
|