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Index: head/share/man/man3/Makefile
===================================================================
--- head/share/man/man3/Makefile
+++ head/share/man/man3/Makefile
@@ -3,7 +3,8 @@
.include <src.opts.mk>
-MAN= assert.3 \
+MAN= arb.3 \
+ assert.3 \
ATOMIC_VAR_INIT.3 \
bitstring.3 \
CMSG_DATA.3 \
@@ -32,6 +33,42 @@
timeradd.3 \
tree.3
+MLINKS+= arb.3 ARB8_ENTRY.3 \
+ arb.3 ARB16_ENTRY.3 \
+ arb.3 ARB32_ENTRY.3 \
+ arb.3 ARB8_HEAD.3 \
+ arb.3 ARB16_HEAD.3 \
+ arb.3 ARB32_HEAD.3 \
+ arb.3 ARB_ALLOCSIZE.3 \
+ arb.3 ARB_INITIALIZER.3 \
+ arb.3 ARB_ROOT.3 \
+ arb.3 ARB_EMPTY.3 \
+ arb.3 ARB_FULL.3 \
+ arb.3 ARB_CURNODES.3 \
+ arb.3 ARB_MAXNODES.3 \
+ arb.3 ARB_NEXT.3 \
+ arb.3 ARB_PREV.3 \
+ arb.3 ARB_MIN.3 \
+ arb.3 ARB_MAX.3 \
+ arb.3 ARB_FIND.3 \
+ arb.3 ARB_NFIND.3 \
+ arb.3 ARB_LEFT.3 \
+ arb.3 ARB_LEFTIDX.3 \
+ arb.3 ARB_RIGHT.3 \
+ arb.3 ARB_RIGHTIDX.3 \
+ arb.3 ARB_PARENT.3 \
+ arb.3 ARB_PARENTIDX.3 \
+ arb.3 ARB_GETFREE.3 \
+ arb.3 ARB_FREEIDX.3 \
+ arb.3 ARB_FOREACH.3 \
+ arb.3 ARB_FOREACH_FROM.3 \
+ arb.3 ARB_FOREACH_SAFE.3 \
+ arb.3 ARB_FOREACH_REVERSE.3 \
+ arb.3 ARB_FOREACH_REVERSE_FROM.3 \
+ arb.3 ARB_FOREACH_REVERSE_SAFE.3 \
+ arb.3 ARB_INIT.3 \
+ arb.3 ARB_INSERT.3 \
+ arb.3 ARB_REMOVE.3
MLINKS= ATOMIC_VAR_INIT.3 atomic_compare_exchange_strong.3 \
ATOMIC_VAR_INIT.3 atomic_compare_exchange_strong_explicit.3 \
ATOMIC_VAR_INIT.3 atomic_compare_exchange_weak.3 \
Index: head/share/man/man3/arb.3
===================================================================
--- head/share/man/man3/arb.3
+++ head/share/man/man3/arb.3
@@ -0,0 +1,483 @@
+.\" $OpenBSD: tree.3,v 1.7 2002/06/12 01:09:20 provos Exp $
+.\"
+.\" Copyright 2002 Niels Provos <provos@citi.umich.edu>
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\" notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\" notice, this list of conditions and the following disclaimer in the
+.\" documentation and/or other materials provided with the distribution.
+.\" 3. All advertising materials mentioning features or use of this software
+.\" must display the following acknowledgement:
+.\" This product includes software developed by Niels Provos.
+.\" 4. The name of the author may not be used to endorse or promote products
+.\" derived from this software without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+.\" IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+.\" OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+.\" IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+.\" INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+.\" NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+.\" DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+.\" THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+.\" (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+.\" THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+.\"
+.\" $FreeBSD$
+.\"
+.Dd May 8, 2019
+.Dt ARB 3
+.Os
+.Sh NAME
+.Nm ARB_PROTOTYPE ,
+.Nm ARB_PROTOTYPE_STATIC ,
+.Nm ARB_PROTOTYPE_INSERT ,
+.Nm ARB_PROTOTYPE_INSERT_COLOR ,
+.Nm ARB_PROTOTYPE_REMOVE ,
+.Nm ARB_PROTOTYPE_REMOVE_COLOR ,
+.Nm ARB_PROTOTYPE_FIND ,
+.Nm ARB_PROTOTYPE_NFIND ,
+.Nm ARB_PROTOTYPE_NEXT ,
+.Nm ARB_PROTOTYPE_PREV ,
+.Nm ARB_PROTOTYPE_MINMAX ,
+.Nm ARB_GENERATE ,
+.Nm ARB_GENERATE_STATIC ,
+.Nm ARB_GENERATE_INSERT ,
+.Nm ARB_GENERATE_INSERT_COLOR ,
+.Nm ARB_GENERATE_REMOVE ,
+.Nm ARB_GENERATE_REMOVE_COLOR ,
+.Nm ARB_GENERATE_FIND ,
+.Nm ARB_GENERATE_NFIND ,
+.Nm ARB_GENERATE_NEXT ,
+.Nm ARB_GENERATE_PREV ,
+.Nm ARB_GENERATE_MINMAX ,
+.Nm ARB8_ENTRY ,
+.Nm ARB16_ENTRY ,
+.Nm ARB32_ENTRY ,
+.Nm ARB8_HEAD ,
+.Nm ARB16_HEAD ,
+.Nm ARB32_HEAD ,
+.Nm ARB_ALLOCSIZE ,
+.Nm ARB_INITIALIZER ,
+.Nm ARB_ROOT ,
+.Nm ARB_EMPTY ,
+.Nm ARB_FULL ,
+.Nm ARB_CURNODES ,
+.Nm ARB_MAXNODES ,
+.Nm ARB_NEXT ,
+.Nm ARB_PREV ,
+.Nm ARB_MIN ,
+.Nm ARB_MAX ,
+.Nm ARB_FIND ,
+.Nm ARB_NFIND ,
+.Nm ARB_LEFT ,
+.Nm ARB_LEFTIDX ,
+.Nm ARB_RIGHT ,
+.Nm ARB_RIGHTIDX ,
+.Nm ARB_PARENT ,
+.Nm ARB_PARENTIDX ,
+.Nm ARB_GETFREE ,
+.Nm ARB_FREEIDX ,
+.Nm ARB_FOREACH ,
+.Nm ARB_FOREACH_FROM ,
+.Nm ARB_FOREACH_SAFE ,
+.Nm ARB_FOREACH_REVERSE ,
+.Nm ARB_FOREACH_REVERSE_FROM ,
+.Nm ARB_FOREACH_REVERSE_SAFE ,
+.Nm ARB_INIT ,
+.Nm ARB_INSERT ,
+.Nm ARB_REMOVE
+.Nd "array-based red-black trees"
+.Sh SYNOPSIS
+.In sys/arb.h
+.Fn ARB_PROTOTYPE NAME TYPE FIELD CMP
+.Fn ARB_PROTOTYPE_STATIC NAME TYPE FIELD CMP
+.Fn ARB_PROTOTYPE_INSERT NAME TYPE ATTR
+.Fn ARB_PROTOTYPE_INSERT_COLOR NAME TYPE ATTR
+.Fn ARB_PROTOTYPE_REMOVE NAME TYPE ATTR
+.Fn ARB_PROTOTYPE_REMOVE_COLOR NAME TYPE ATTR
+.Fn ARB_PROTOTYPE_FIND NAME TYPE ATTR
+.Fn ARB_PROTOTYPE_NFIND NAME TYPE ATTR
+.Fn ARB_PROTOTYPE_NEXT NAME TYPE ATTR
+.Fn ARB_PROTOTYPE_PREV NAME TYPE ATTR
+.Fn ARB_PROTOTYPE_MINMAX NAME TYPE ATTR
+.Fn ARB_GENERATE NAME TYPE FIELD CMP
+.Fn ARB_GENERATE_STATIC NAME TYPE FIELD CMP
+.Fn ARB_GENERATE_INSERT NAME TYPE FIELD CMP ATTR
+.Fn ARB_GENERATE_INSERT_COLOR NAME TYPE FIELD ATTR
+.Fn ARB_GENERATE_REMOVE NAME TYPE FIELD ATTR
+.Fn ARB_GENERATE_REMOVE_COLOR NAME TYPE FIELD ATTR
+.Fn ARB_GENERATE_FIND NAME TYPE FIELD CMP ATTR
+.Fn ARB_GENERATE_NFIND NAME TYPE FIELD CMP ATTR
+.Fn ARB_GENERATE_NEXT NAME TYPE FIELD ATTR
+.Fn ARB_GENERATE_PREV NAME TYPE FIELD ATTR
+.Fn ARB_GENERATE_MINMAX NAME TYPE FIELD ATTR
+.Fn ARB<8|16|32>_ENTRY
+.Fn ARB<8|16|32>_HEAD HEADNAME TYPE
+.Ft "size_t"
+.Fn ARB_ALLOCSIZE "ARB_HEAD *head" "int<8|16|32>_t maxnodes" "struct TYPE *elm"
+.Fn ARB_INITIALIZER "ARB_HEAD *head" "int<8|16|32>_t maxnodes"
+.Ft "struct TYPE *"
+.Fn ARB_ROOT "ARB_HEAD *head"
+.Ft "bool"
+.Fn ARB_EMPTY "ARB_HEAD *head"
+.Ft "bool"
+.Fn ARB_FULL "ARB_HEAD *head"
+.Ft "int<8|16|32>_t"
+.Fn ARB_CURNODES "ARB_HEAD *head"
+.Ft "int<8|16|32>_t"
+.Fn ARB_MAXNODES "ARB_HEAD *head"
+.Ft "struct TYPE *"
+.Fn ARB_NEXT NAME "ARB_HEAD *head" "struct TYPE *elm"
+.Ft "struct TYPE *"
+.Fn ARB_PREV NAME "ARB_HEAD *head" "struct TYPE *elm"
+.Ft "struct TYPE *"
+.Fn ARB_MIN NAME "ARB_HEAD *head"
+.Ft "struct TYPE *"
+.Fn ARB_MAX NAME "ARB_HEAD *head"
+.Ft "struct TYPE *"
+.Fn ARB_FIND NAME "ARB_HEAD *head" "struct TYPE *elm"
+.Ft "struct TYPE *"
+.Fn ARB_NFIND NAME "ARB_HEAD *head" "struct TYPE *elm"
+.Ft "struct TYPE *"
+.Fn ARB_LEFT "struct TYPE *elm" "ARB_ENTRY NAME"
+.Ft "int<8|16|32>_t"
+.Fn ARB_LEFTIDX "struct TYPE *elm" "ARB_ENTRY NAME"
+.Ft "struct TYPE *"
+.Fn ARB_RIGHT "struct TYPE *elm" "ARB_ENTRY NAME"
+.Ft "int<8|16|32>_t"
+.Fn ARB_RIGHTIDX "struct TYPE *elm" "ARB_ENTRY NAME"
+.Ft "struct TYPE *"
+.Fn ARB_PARENT "struct TYPE *elm" "ARB_ENTRY NAME"
+.Ft "int<8|16|32>_t"
+.Fn ARB_PARENTIDX "struct TYPE *elm" "ARB_ENTRY NAME"
+.Ft "struct TYPE *"
+.Fn ARB_GETFREE "ARB_HEAD *head" "FIELD"
+.Ft "int<8|16|32>_t"
+.Fn ARB_FREEIDX "ARB_HEAD *head"
+.Fn ARB_FOREACH VARNAME NAME "ARB_HEAD *head"
+.Fn ARB_FOREACH_FROM "VARNAME" "NAME" "POS_VARNAME"
+.Fn ARB_FOREACH_SAFE "VARNAME" "NAME" "ARB_HEAD *head" "TEMP_VARNAME"
+.Fn ARB_FOREACH_REVERSE VARNAME NAME "ARB_HEAD *head"
+.Fn ARB_FOREACH_REVERSE_FROM "VARNAME" "NAME" "POS_VARNAME"
+.Fn ARB_FOREACH_REVERSE_SAFE "VARNAME" "NAME" "ARB_HEAD *head" "TEMP_VARNAME"
+.Ft void
+.Fn ARB_INIT "struct TYPE *elm" "FIELD" "ARB_HEAD *head" "int<8|16|32>_t maxnodes"
+.Ft "struct TYPE *"
+.Fn ARB_INSERT NAME "ARB_HEAD *head" "struct TYPE *elm"
+.Ft "struct TYPE *"
+.Fn ARB_REMOVE NAME "ARB_HEAD *head" "struct TYPE *elm"
+.Sh DESCRIPTION
+These macros define data structures for and array-based red-black trees.
+They use a single, continuous chunk of memory, and are useful
+e.g., when the tree needs to be transferred between userspace and kernel.
+.Pp
+In the macro definitions,
+.Fa TYPE
+is the name tag of a user defined structure that must contain a field of type
+.Vt ARB_ENTRY ,
+named
+.Fa ENTRYNAME .
+The argument
+.Fa HEADNAME
+is the name tag of a user defined structure that must be declared
+using the
+.Fn ARB_HEAD
+macro.
+The argument
+.Fa NAME
+has to be a unique name prefix for every tree that is defined.
+.Pp
+The function prototypes are declared with
+.Fn ARB_PROTOTYPE ,
+or
+.Fn ARB_PROTOTYPE_STATIC .
+The function bodies are generated with
+.Fn ARB_GENERATE ,
+or
+.Fn ARB_GENERATE_STATIC .
+See the examples below for further explanation of how these macros are used.
+.Pp
+A red-black tree is a binary search tree with the node color as an
+extra attribute.
+It fulfills a set of conditions:
+.Bl -enum -offset indent
+.It
+Every search path from the root to a leaf consists of the same number of
+black nodes.
+.It
+Each red node (except for the root) has a black parent.
+.It
+Each leaf node is black.
+.El
+.Pp
+Every operation on a red-black tree is bounded as
+.Fn O "lg n" .
+The maximum height of a red-black tree is
+.Fn 2lg "n + 1" .
+.Pp
+.Fn ARB_*
+trees require entries to be allocated as an array, and uses array
+indices to link entries together.
+The maximum number of
+.Fn ARB_*
+tree entries is therefore constrained by the minimum of array size and choice of
+signed integer data type used to store array indices.
+Use
+.Fn ARB_ALLOCSIZE
+to compute the size of memory chunk to allocate.
+.Pp
+A red-black tree is headed by a structure defined by the
+.Fn ARB_HEAD
+macro.
+A
+structure is declared with either of the following:
+.Bd -ragged -offset indent
+.Fn ARB<8|16|32>_HEAD HEADNAME TYPE
+.Va head ;
+.Ed
+.Pp
+where
+.Fa HEADNAME
+is the name of the structure to be defined, and struct
+.Fa TYPE
+is the type of the elements to be inserted into the tree.
+.Pp
+The
+.Fn ARB_HEAD
+variant includes a suffix denoting the signed integer data type size
+.Pq in bits
+used to store array indices.
+For example,
+.Fn ARB_HEAD8
+creates a red-black tree head strucutre with 8-bit signed array indices capable
+of indexing up to 128 entries.
+.Pp
+The
+.Fn ARB_ENTRY
+macro declares a structure that allows elements to be connected in the tree.
+Similarly to the
+.Fn ARB<8|16|32>_HEAD
+macro, the
+.Fn ARB_ENTRY
+variant includes a suffix denoting the signed integer data type size
+.Pq in bits
+used to store array indices.
+Entries should use the same number of bits as the tree head structure they will
+be linked into.
+.Pp
+In order to use the functions that manipulate the tree structure,
+their prototypes need to be declared with the
+.Fn ARB_PROTOTYPE
+or
+.Fn ARB_PROTOTYPE_STATIC
+macro,
+where
+.Fa NAME
+is a unique identifier for this particular tree.
+The
+.Fa TYPE
+argument is the type of the structure that is being managed
+by the tree.
+The
+.Fa FIELD
+argument is the name of the element defined by
+.Fn ARB_ENTRY .
+Individual prototypes can be declared with
+.Fn ARB_PROTOTYPE_INSERT ,
+.Fn ARB_PROTOTYPE_INSERT_COLOR ,
+.Fn ARB_PROTOTYPE_REMOVE ,
+.Fn ARB_PROTOTYPE_REMOVE_COLOR ,
+.Fn ARB_PROTOTYPE_FIND ,
+.Fn ARB_PROTOTYPE_NFIND ,
+.Fn ARB_PROTOTYPE_NEXT ,
+.Fn ARB_PROTOTYPE_PREV ,
+and
+.Fn ARB_PROTOTYPE_MINMAX
+in case not all functions are required.
+The individual prototype macros expect
+.Fa NAME ,
+.Fa TYPE ,
+and
+.Fa ATTR
+arguments.
+The
+.Fa ATTR
+argument must be empty for global functions or
+.Fa static
+for static functions.
+.Pp
+The function bodies are generated with the
+.Fn ARB_GENERATE
+or
+.Fn ARB_GENERATE_STATIC
+macro.
+These macros take the same arguments as the
+.Fn ARB_PROTOTYPE
+and
+.Fn ARB_PROTOTYPE_STATIC
+macros, but should be used only once.
+As an alternative individual function bodies are generated with the
+.Fn ARB_GENERATE_INSERT ,
+.Fn ARB_GENERATE_INSERT_COLOR ,
+.Fn ARB_GENERATE_REMOVE ,
+.Fn ARB_GENERATE_REMOVE_COLOR ,
+.Fn ARB_GENERATE_FIND ,
+.Fn ARB_GENERATE_NFIND ,
+.Fn ARB_GENERATE_NEXT ,
+.Fn ARB_GENERATE_PREV ,
+and
+.Fn ARB_GENERATE_MINMAX
+macros.
+.Pp
+Finally,
+the
+.Fa CMP
+argument is the name of a function used to compare tree nodes
+with each other.
+The function takes two arguments of type
+.Vt "struct TYPE *" .
+If the first argument is smaller than the second, the function returns a
+value smaller than zero.
+If they are equal, the function returns zero.
+Otherwise, it should return a value greater than zero.
+The compare
+function defines the order of the tree elements.
+.Pp
+The
+.Fn ARB_INIT
+macro initializes the tree referenced by
+.Fa head ,
+with the array length of
+.Fa maxnodes .
+.Pp
+The red-black tree can also be initialized statically by using the
+.Fn ARB_INITIALIZER
+macro:
+.Bd -ragged -offset indent
+.Fn ARB<8|16|32>_HEAD HEADNAME TYPE
+.Va head
+=
+.Fn ARB_INITIALIZER &head maxnodes ;
+.Ed
+.Pp
+The
+.Fn ARB_INSERT
+macro inserts the new element
+.Fa elm
+into the tree.
+.Pp
+The
+.Fn ARB_REMOVE
+macro removes the element
+.Fa elm
+from the tree pointed by
+.Fa head .
+.Pp
+The
+.Fn ARB_FIND
+and
+.Fn ARB_NFIND
+macros can be used to find a particular element in the tree.
+.Bd -literal -offset indent
+struct TYPE find, *res;
+find.key = 30;
+res = RB_FIND(NAME, head, &find);
+.Ed
+.Pp
+The
+.Fn ARB_ROOT ,
+.Fn ARB_MIN ,
+.Fn ARB_MAX ,
+.Fn ARB_NEXT ,
+and
+.Fn ARB_PREV
+macros can be used to traverse the tree:
+.Pp
+.Dl "for (np = RB_MIN(NAME, &head); np != NULL; np = RB_NEXT(NAME, &head, np))"
+.Pp
+Or, for simplicity, one can use the
+.Fn ARB_FOREACH
+or
+.Fn ARB_FOREACH_REVERSE
+macro:
+.Bd -ragged -offset indent
+.Fn RB_FOREACH np NAME head
+.Ed
+.Pp
+The macros
+.Fn ARB_FOREACH_SAFE
+and
+.Fn ARB_FOREACH_REVERSE_SAFE
+traverse the tree referenced by head
+in a forward or reverse direction respectively,
+assigning each element in turn to np.
+However, unlike their unsafe counterparts,
+they permit both the removal of np
+as well as freeing it from within the loop safely
+without interfering with the traversal.
+.Pp
+Both
+.Fn ARB_FOREACH_FROM
+and
+.Fn ARB_FOREACH_REVERSE_FROM
+may be used to continue an interrupted traversal
+in a forward or reverse direction respectively.
+The head pointer is not required.
+The pointer to the node from where to resume the traversal
+should be passed as their last argument,
+and will be overwritten to provide safe traversal.
+.Pp
+The
+.Fn ARB_EMPTY
+macro should be used to check whether a red-black tree is empty.
+.Pp
+Given that ARB trees have an intrinsic upper bound on the number of entries,
+some ARB-specific additional macros are defined.
+The
+.Fn ARB_FULL
+macro returns a boolean indicating whether the current number of tree entries
+equals the tree's maximum.
+The
+.Fn ARB_CURNODES
+and
+.Fn ARB_MAXNODES
+macros return the current and maximum number of entries respectively.
+The
+.Fn ARB_GETFREE
+macro returns a pointer to the next free entry in the array of entries, ready to
+be linked into the tree.
+The
+.Fn ARB_INSERT
+returns
+.Dv NULL
+if the element was inserted in the tree successfully, otherwise they
+return a pointer to the element with the colliding key.
+.Pp
+Accordingly,
+.Fn ARB_REMOVE
+returns the pointer to the removed element otherwise they return
+.Dv NULL
+to indicate an error.
+.Sh SEE ALSO
+.Xr queue 3 ,
+.Xr tree 3
+.Sh HISTORY
+The
+.Nm ARB
+macros first appeared in
+.Fx 13.0 .
+.Sh AUTHORS
+The
+.Nm ARB
+macros were implemented by
+.An Lawrence Stewart Aq Mt lstewart@FreeBSD.org ,
+based on
+.Xr tree 3
+macros written by
+.An Niels Provos .
Index: head/share/man/man3/queue.3
===================================================================
--- head/share/man/man3/queue.3
+++ head/share/man/man3/queue.3
@@ -1329,6 +1329,7 @@
mode.
.El
.Sh SEE ALSO
+.Xr arb 3 ,
.Xr tree 3
.Sh HISTORY
The
Index: head/share/man/man3/tree.3
===================================================================
--- head/share/man/man3/tree.3
+++ head/share/man/man3/tree.3
@@ -674,6 +674,7 @@
.Dv NULL
to indicate an error.
.Sh SEE ALSO
+.Xr arb 3 ,
.Xr queue 3
.Sh AUTHORS
The author of the tree macros is
Index: head/sys/sys/arb.h
===================================================================
--- head/sys/sys/arb.h
+++ head/sys/sys/arb.h
@@ -0,0 +1,779 @@
+/* $NetBSD: tree.h,v 1.8 2004/03/28 19:38:30 provos Exp $ */
+/* $OpenBSD: tree.h,v 1.7 2002/10/17 21:51:54 art Exp $ */
+/* $FreeBSD$ */
+
+/*-
+ * SPDX-License-Identifier: BSD-2-Clause-FreeBSD
+ *
+ * Copyright 2002 Niels Provos <provos@citi.umich.edu>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#ifndef _SYS_ARB_H_
+#define _SYS_ARB_H_
+
+#include <sys/cdefs.h>
+
+/* Array-based red-black trees. */
+
+#define ARB_NULLIDX -1
+#define ARB_NULLCOL -1
+
+#define ARB_BLACK 0
+#define ARB_RED 1
+
+#define ARB_NEGINF -1
+#define ARB_INF 1
+
+#define ARB_HEAD(name, type, idxbits) \
+struct name { \
+ int##idxbits##_t arb_curnodes; \
+ int##idxbits##_t arb_maxnodes; \
+ int##idxbits##_t arb_root_idx; \
+ int##idxbits##_t arb_free_idx; \
+ int##idxbits##_t arb_min_idx; \
+ int##idxbits##_t arb_max_idx; \
+ struct type arb_nodes[]; \
+}
+#define ARB8_HEAD(name, type) ARB_HEAD(name, type, 8)
+#define ARB16_HEAD(name, type) ARB_HEAD(name, type, 16)
+#define ARB32_HEAD(name, type) ARB_HEAD(name, type, 32)
+
+#define ARB_ALLOCSIZE(head, maxn, x) \
+ (sizeof(*head) + (maxn) * sizeof(*x))
+
+#define ARB_INITIALIZER(name, maxn) \
+ ((struct name){ 0, maxn, ARB_NULLIDX, ARB_NULLIDX, \
+ ARB_NULLIDX, ARB_NULLIDX })
+
+#define ARB_INIT(x, field, head, maxn) \
+ (head)->arb_curnodes = 0; \
+ (head)->arb_maxnodes = (maxn); \
+ (head)->arb_root_idx = (head)->arb_free_idx = \
+ (head)->arb_min_idx = (head)->arb_max_idx = ARB_NULLIDX; \
+ /* The ARB_RETURNFREE() puts all entries on the free list. */ \
+ ARB_ARRFOREACH_REVWCOND(x, field, head, \
+ ARB_RETURNFREE(head, x, field))
+
+#define ARB_ENTRY(idxbits) \
+struct { \
+ int##idxbits##_t arbe_parent_idx; \
+ int##idxbits##_t arbe_left_idx; \
+ int##idxbits##_t arbe_right_idx; \
+ int8_t arbe_color; \
+}
+#define ARB8_ENTRY() ARB_ENTRY(8)
+#define ARB16_ENTRY() ARB_ENTRY(16)
+#define ARB32_ENTRY() ARB_ENTRY(32)
+
+#define ARB_ENTRYINIT(elm, field) do { \
+ (elm)->field.arbe_parent_idx = \
+ (elm)->field.arbe_left_idx = \
+ (elm)->field.arbe_right_idx = ARB_NULLIDX; \
+ (elm)->field.arbe_color = ARB_NULLCOL; \
+} while (/*CONSTCOND*/ 0)
+
+#define ARB_ELMTYPE(head) __typeof(&(head)->arb_nodes[0])
+#define ARB_NODES(head) (head)->arb_nodes
+#define ARB_MAXNODES(head) (head)->arb_maxnodes
+#define ARB_CURNODES(head) (head)->arb_curnodes
+#define ARB_EMPTY(head) ((head)->arb_curnodes == 0)
+#define ARB_FULL(head) ((head)->arb_curnodes >= (head)->arb_maxnodes)
+#define ARB_CNODE(head, idx) \
+ ((((intptr_t)(idx) <= ARB_NULLIDX) || ((idx) >= ARB_MAXNODES(head))) ? \
+ NULL : ((const ARB_ELMTYPE(head))(ARB_NODES(head) + (idx))))
+#define ARB_NODE(head, idx) \
+ (__DECONST(ARB_ELMTYPE(head), ARB_CNODE(head, idx)))
+#define ARB_ROOT(head) ARB_NODE(head, ARB_ROOTIDX(head))
+#define ARB_LEFT(head, elm, field) ARB_NODE(head, ARB_LEFTIDX(elm, field))
+#define ARB_RIGHT(head, elm, field) ARB_NODE(head, ARB_RIGHTIDX(elm, field))
+#define ARB_PARENT(head, elm, field) ARB_NODE(head, ARB_PARENTIDX(elm, field))
+#define ARB_FREEIDX(head) (head)->arb_free_idx
+#define ARB_ROOTIDX(head) (head)->arb_root_idx
+#define ARB_MINIDX(head) (head)->arb_min_idx
+#define ARB_MAXIDX(head) (head)->arb_max_idx
+#define ARB_SELFIDX(head, elm) \
+ ((elm) ? ((intptr_t)((((const uint8_t *)(elm)) - \
+ ((const uint8_t *)ARB_NODES(head))) / sizeof(*(elm)))) : \
+ (intptr_t)ARB_NULLIDX)
+#define ARB_LEFTIDX(elm, field) (elm)->field.arbe_left_idx
+#define ARB_RIGHTIDX(elm, field) (elm)->field.arbe_right_idx
+#define ARB_PARENTIDX(elm, field) (elm)->field.arbe_parent_idx
+#define ARB_COLOR(elm, field) (elm)->field.arbe_color
+#define ARB_PREVFREE(head, elm, field) \
+ ARB_NODE(head, ARB_PREVFREEIDX(elm, field))
+#define ARB_PREVFREEIDX(elm, field) ARB_LEFTIDX(elm, field)
+#define ARB_NEXTFREE(head, elm, field) \
+ ARB_NODE(head, ARB_NEXTFREEIDX(elm, field))
+#define ARB_NEXTFREEIDX(elm, field) ARB_RIGHTIDX(elm, field)
+#define ARB_ISFREE(elm, field) (ARB_COLOR(elm, field) == ARB_NULLCOL)
+
+#define ARB_SET(head, elm, parent, field) do { \
+ ARB_PARENTIDX(elm, field) = \
+ parent ? ARB_SELFIDX(head, parent) : ARB_NULLIDX; \
+ ARB_LEFTIDX(elm, field) = ARB_RIGHTIDX(elm, field) = ARB_NULLIDX; \
+ ARB_COLOR(elm, field) = ARB_RED; \
+} while (/*CONSTCOND*/ 0)
+
+#define ARB_SET_BLACKRED(black, red, field) do { \
+ ARB_COLOR(black, field) = ARB_BLACK; \
+ ARB_COLOR(red, field) = ARB_RED; \
+} while (/*CONSTCOND*/ 0)
+
+#ifndef ARB_AUGMENT
+#define ARB_AUGMENT(x) do {} while (0)
+#endif
+
+#define ARB_ROTATE_LEFT(head, elm, tmp, field) do { \
+ __typeof(ARB_RIGHTIDX(elm, field)) _tmpidx; \
+ (tmp) = ARB_RIGHT(head, elm, field); \
+ _tmpidx = ARB_RIGHTIDX(elm, field); \
+ ARB_RIGHTIDX(elm, field) = ARB_LEFTIDX(tmp, field); \
+ if (ARB_RIGHTIDX(elm, field) != ARB_NULLIDX) { \
+ ARB_PARENTIDX(ARB_LEFT(head, tmp, field), field) = \
+ ARB_SELFIDX(head, elm); \
+ } \
+ ARB_AUGMENT(elm); \
+ ARB_PARENTIDX(tmp, field) = ARB_PARENTIDX(elm, field); \
+ if (ARB_PARENTIDX(tmp, field) != ARB_NULLIDX) { \
+ if (ARB_SELFIDX(head, elm) == \
+ ARB_LEFTIDX(ARB_PARENT(head, elm, field), field)) \
+ ARB_LEFTIDX(ARB_PARENT(head, elm, field), \
+ field) = _tmpidx; \
+ else \
+ ARB_RIGHTIDX(ARB_PARENT(head, elm, field), \
+ field) = _tmpidx; \
+ } else \
+ ARB_ROOTIDX(head) = _tmpidx; \
+ ARB_LEFTIDX(tmp, field) = ARB_SELFIDX(head, elm); \
+ ARB_PARENTIDX(elm, field) = _tmpidx; \
+ ARB_AUGMENT(tmp); \
+ if (ARB_PARENTIDX(tmp, field) != ARB_NULLIDX) \
+ ARB_AUGMENT(ARB_PARENT(head, tmp, field)); \
+} while (/*CONSTCOND*/ 0)
+
+#define ARB_ROTATE_RIGHT(head, elm, tmp, field) do { \
+ __typeof(ARB_LEFTIDX(elm, field)) _tmpidx; \
+ (tmp) = ARB_LEFT(head, elm, field); \
+ _tmpidx = ARB_LEFTIDX(elm, field); \
+ ARB_LEFTIDX(elm, field) = ARB_RIGHTIDX(tmp, field); \
+ if (ARB_LEFTIDX(elm, field) != ARB_NULLIDX) { \
+ ARB_PARENTIDX(ARB_RIGHT(head, tmp, field), field) = \
+ ARB_SELFIDX(head, elm); \
+ } \
+ ARB_AUGMENT(elm); \
+ ARB_PARENTIDX(tmp, field) = ARB_PARENTIDX(elm, field); \
+ if (ARB_PARENTIDX(tmp, field) != ARB_NULLIDX) { \
+ if (ARB_SELFIDX(head, elm) == \
+ ARB_LEFTIDX(ARB_PARENT(head, elm, field), field)) \
+ ARB_LEFTIDX(ARB_PARENT(head, elm, field), \
+ field) = _tmpidx; \
+ else \
+ ARB_RIGHTIDX(ARB_PARENT(head, elm, field), \
+ field) = _tmpidx; \
+ } else \
+ ARB_ROOTIDX(head) = _tmpidx; \
+ ARB_RIGHTIDX(tmp, field) = ARB_SELFIDX(head, elm); \
+ ARB_PARENTIDX(elm, field) = _tmpidx; \
+ ARB_AUGMENT(tmp); \
+ if (ARB_PARENTIDX(tmp, field) != ARB_NULLIDX) \
+ ARB_AUGMENT(ARB_PARENT(head, tmp, field)); \
+} while (/*CONSTCOND*/ 0)
+
+#define ARB_RETURNFREE(head, elm, field) \
+({ \
+ ARB_COLOR(elm, field) = ARB_NULLCOL; \
+ ARB_NEXTFREEIDX(elm, field) = ARB_FREEIDX(head); \
+ ARB_FREEIDX(head) = ARB_SELFIDX(head, elm); \
+ elm; \
+})
+
+#define ARB_GETFREEAT(head, field, fidx) \
+({ \
+ __typeof(ARB_NODE(head, 0)) _elm, _prevelm; \
+ int _idx = fidx; \
+ if (ARB_FREEIDX(head) == ARB_NULLIDX && !ARB_FULL(head)) { \
+ /* Populate the free list. */ \
+ ARB_ARRFOREACH_REVERSE(_elm, field, head) { \
+ if (ARB_ISFREE(_elm, field)) \
+ ARB_RETURNFREE(head, _elm, field); \
+ } \
+ } \
+ _elm = _prevelm = ARB_NODE(head, ARB_FREEIDX(head)); \
+ for (; _idx > 0 && _elm != NULL; _idx--, _prevelm = _elm) \
+ _elm = ARB_NODE(head, ARB_NEXTFREEIDX(_elm, field)); \
+ if (_elm) { \
+ if (fidx == 0) \
+ ARB_FREEIDX(head) = \
+ ARB_NEXTFREEIDX(_elm, field); \
+ else \
+ ARB_NEXTFREEIDX(_prevelm, field) = \
+ ARB_NEXTFREEIDX(_elm, field); \
+ } \
+ _elm; \
+})
+#define ARB_GETFREE(head, field) ARB_GETFREEAT(head, field, 0)
+
+/* Generates prototypes and inline functions */
+#define ARB_PROTOTYPE(name, type, field, cmp) \
+ ARB_PROTOTYPE_INTERNAL(name, type, field, cmp,)
+#define ARB_PROTOTYPE_STATIC(name, type, field, cmp) \
+ ARB_PROTOTYPE_INTERNAL(name, type, field, cmp, __unused static)
+#define ARB_PROTOTYPE_INTERNAL(name, type, field, cmp, attr) \
+ ARB_PROTOTYPE_INSERT_COLOR(name, type, attr); \
+ ARB_PROTOTYPE_REMOVE_COLOR(name, type, attr); \
+ ARB_PROTOTYPE_INSERT(name, type, attr); \
+ ARB_PROTOTYPE_REMOVE(name, type, attr); \
+ ARB_PROTOTYPE_CFIND(name, type, attr); \
+ ARB_PROTOTYPE_FIND(name, type, attr); \
+ ARB_PROTOTYPE_NFIND(name, type, attr); \
+ ARB_PROTOTYPE_CNEXT(name, type, attr); \
+ ARB_PROTOTYPE_NEXT(name, type, attr); \
+ ARB_PROTOTYPE_CPREV(name, type, attr); \
+ ARB_PROTOTYPE_PREV(name, type, attr); \
+ ARB_PROTOTYPE_CMINMAX(name, type, attr); \
+ ARB_PROTOTYPE_MINMAX(name, type, attr); \
+ ARB_PROTOTYPE_REBALANCE(name, type, attr);
+#define ARB_PROTOTYPE_INSERT_COLOR(name, type, attr) \
+ attr void name##_ARB_INSERT_COLOR(struct name *, struct type *)
+#define ARB_PROTOTYPE_REMOVE_COLOR(name, type, attr) \
+ attr void name##_ARB_REMOVE_COLOR(struct name *, struct type *, struct type *)
+#define ARB_PROTOTYPE_REMOVE(name, type, attr) \
+ attr struct type *name##_ARB_REMOVE(struct name *, struct type *)
+#define ARB_PROTOTYPE_INSERT(name, type, attr) \
+ attr struct type *name##_ARB_INSERT(struct name *, struct type *)
+#define ARB_PROTOTYPE_CFIND(name, type, attr) \
+ attr const struct type *name##_ARB_CFIND(const struct name *, \
+ const struct type *)
+#define ARB_PROTOTYPE_FIND(name, type, attr) \
+ attr struct type *name##_ARB_FIND(const struct name *, \
+ const struct type *)
+#define ARB_PROTOTYPE_NFIND(name, type, attr) \
+ attr struct type *name##_ARB_NFIND(struct name *, struct type *)
+#define ARB_PROTOTYPE_CNFIND(name, type, attr) \
+ attr const struct type *name##_ARB_CNFIND(const struct name *, \
+ const struct type *)
+#define ARB_PROTOTYPE_CNEXT(name, type, attr) \
+ attr const struct type *name##_ARB_CNEXT(const struct name *head,\
+ const struct type *)
+#define ARB_PROTOTYPE_NEXT(name, type, attr) \
+ attr struct type *name##_ARB_NEXT(const struct name *, \
+ const struct type *)
+#define ARB_PROTOTYPE_CPREV(name, type, attr) \
+ attr const struct type *name##_ARB_CPREV(const struct name *, \
+ const struct type *)
+#define ARB_PROTOTYPE_PREV(name, type, attr) \
+ attr struct type *name##_ARB_PREV(const struct name *, \
+ const struct type *)
+#define ARB_PROTOTYPE_CMINMAX(name, type, attr) \
+ attr const struct type *name##_ARB_CMINMAX(const struct name *, int)
+#define ARB_PROTOTYPE_MINMAX(name, type, attr) \
+ attr struct type *name##_ARB_MINMAX(const struct name *, int)
+#define ARB_PROTOTYPE_REBALANCE(name, type, attr) \
+ attr struct type *name##_ARB_REBALANCE(struct name *, struct type *)
+
+#define ARB_GENERATE(name, type, field, cmp) \
+ ARB_GENERATE_INTERNAL(name, type, field, cmp,)
+#define ARB_GENERATE_STATIC(name, type, field, cmp) \
+ ARB_GENERATE_INTERNAL(name, type, field, cmp, __unused static)
+#define ARB_GENERATE_INTERNAL(name, type, field, cmp, attr) \
+ ARB_GENERATE_INSERT_COLOR(name, type, field, attr) \
+ ARB_GENERATE_REMOVE_COLOR(name, type, field, attr) \
+ ARB_GENERATE_INSERT(name, type, field, cmp, attr) \
+ ARB_GENERATE_REMOVE(name, type, field, attr) \
+ ARB_GENERATE_CFIND(name, type, field, cmp, attr) \
+ ARB_GENERATE_FIND(name, type, field, cmp, attr) \
+ ARB_GENERATE_CNEXT(name, type, field, attr) \
+ ARB_GENERATE_NEXT(name, type, field, attr) \
+ ARB_GENERATE_CPREV(name, type, field, attr) \
+ ARB_GENERATE_PREV(name, type, field, attr) \
+ ARB_GENERATE_CMINMAX(name, type, field, attr) \
+ ARB_GENERATE_MINMAX(name, type, field, attr) \
+ ARB_GENERATE_REBALANCE(name, type, field, cmp, attr)
+
+#define ARB_GENERATE_INSERT_COLOR(name, type, field, attr) \
+attr void \
+name##_ARB_INSERT_COLOR(struct name *head, struct type *elm) \
+{ \
+ struct type *parent, *gparent, *tmp; \
+ while ((parent = ARB_PARENT(head, elm, field)) != NULL && \
+ ARB_COLOR(parent, field) == ARB_RED) { \
+ gparent = ARB_PARENT(head, parent, field); \
+ if (parent == ARB_LEFT(head, gparent, field)) { \
+ tmp = ARB_RIGHT(head, gparent, field); \
+ if (tmp && ARB_COLOR(tmp, field) == ARB_RED) { \
+ ARB_COLOR(tmp, field) = ARB_BLACK; \
+ ARB_SET_BLACKRED(parent, gparent, field); \
+ elm = gparent; \
+ continue; \
+ } \
+ if (ARB_RIGHT(head, parent, field) == elm) { \
+ ARB_ROTATE_LEFT(head, parent, tmp, field); \
+ tmp = parent; \
+ parent = elm; \
+ elm = tmp; \
+ } \
+ ARB_SET_BLACKRED(parent, gparent, field); \
+ ARB_ROTATE_RIGHT(head, gparent, tmp, field); \
+ } else { \
+ tmp = ARB_LEFT(head, gparent, field); \
+ if (tmp && ARB_COLOR(tmp, field) == ARB_RED) { \
+ ARB_COLOR(tmp, field) = ARB_BLACK; \
+ ARB_SET_BLACKRED(parent, gparent, field); \
+ elm = gparent; \
+ continue; \
+ } \
+ if (ARB_LEFT(head, parent, field) == elm) { \
+ ARB_ROTATE_RIGHT(head, parent, tmp, field); \
+ tmp = parent; \
+ parent = elm; \
+ elm = tmp; \
+ } \
+ ARB_SET_BLACKRED(parent, gparent, field); \
+ ARB_ROTATE_LEFT(head, gparent, tmp, field); \
+ } \
+ } \
+ ARB_COLOR(ARB_ROOT(head), field) = ARB_BLACK; \
+}
+
+#define ARB_GENERATE_REMOVE_COLOR(name, type, field, attr) \
+attr void \
+name##_ARB_REMOVE_COLOR(struct name *head, struct type *parent, struct type *elm) \
+{ \
+ struct type *tmp; \
+ while ((elm == NULL || ARB_COLOR(elm, field) == ARB_BLACK) && \
+ elm != ARB_ROOT(head)) { \
+ if (ARB_LEFT(head, parent, field) == elm) { \
+ tmp = ARB_RIGHT(head, parent, field); \
+ if (ARB_COLOR(tmp, field) == ARB_RED) { \
+ ARB_SET_BLACKRED(tmp, parent, field); \
+ ARB_ROTATE_LEFT(head, parent, tmp, field); \
+ tmp = ARB_RIGHT(head, parent, field); \
+ } \
+ if ((ARB_LEFT(head, tmp, field) == NULL || \
+ ARB_COLOR(ARB_LEFT(head, tmp, field), field) == ARB_BLACK) && \
+ (ARB_RIGHT(head, tmp, field) == NULL || \
+ ARB_COLOR(ARB_RIGHT(head, tmp, field), field) == ARB_BLACK)) { \
+ ARB_COLOR(tmp, field) = ARB_RED; \
+ elm = parent; \
+ parent = ARB_PARENT(head, elm, field); \
+ } else { \
+ if (ARB_RIGHT(head, tmp, field) == NULL || \
+ ARB_COLOR(ARB_RIGHT(head, tmp, field), field) == ARB_BLACK) { \
+ struct type *oleft; \
+ if ((oleft = ARB_LEFT(head, tmp, field)) \
+ != NULL) \
+ ARB_COLOR(oleft, field) = ARB_BLACK; \
+ ARB_COLOR(tmp, field) = ARB_RED; \
+ ARB_ROTATE_RIGHT(head, tmp, oleft, field); \
+ tmp = ARB_RIGHT(head, parent, field); \
+ } \
+ ARB_COLOR(tmp, field) = ARB_COLOR(parent, field); \
+ ARB_COLOR(parent, field) = ARB_BLACK; \
+ if (ARB_RIGHT(head, tmp, field)) \
+ ARB_COLOR(ARB_RIGHT(head, tmp, field), field) = ARB_BLACK; \
+ ARB_ROTATE_LEFT(head, parent, tmp, field); \
+ elm = ARB_ROOT(head); \
+ break; \
+ } \
+ } else { \
+ tmp = ARB_LEFT(head, parent, field); \
+ if (ARB_COLOR(tmp, field) == ARB_RED) { \
+ ARB_SET_BLACKRED(tmp, parent, field); \
+ ARB_ROTATE_RIGHT(head, parent, tmp, field); \
+ tmp = ARB_LEFT(head, parent, field); \
+ } \
+ if ((ARB_LEFT(head, tmp, field) == NULL || \
+ ARB_COLOR(ARB_LEFT(head, tmp, field), field) == ARB_BLACK) && \
+ (ARB_RIGHT(head, tmp, field) == NULL || \
+ ARB_COLOR(ARB_RIGHT(head, tmp, field), field) == ARB_BLACK)) { \
+ ARB_COLOR(tmp, field) = ARB_RED; \
+ elm = parent; \
+ parent = ARB_PARENT(head, elm, field); \
+ } else { \
+ if (ARB_LEFT(head, tmp, field) == NULL || \
+ ARB_COLOR(ARB_LEFT(head, tmp, field), field) == ARB_BLACK) { \
+ struct type *oright; \
+ if ((oright = ARB_RIGHT(head, tmp, field)) \
+ != NULL) \
+ ARB_COLOR(oright, field) = ARB_BLACK; \
+ ARB_COLOR(tmp, field) = ARB_RED; \
+ ARB_ROTATE_LEFT(head, tmp, oright, field); \
+ tmp = ARB_LEFT(head, parent, field); \
+ } \
+ ARB_COLOR(tmp, field) = ARB_COLOR(parent, field); \
+ ARB_COLOR(parent, field) = ARB_BLACK; \
+ if (ARB_LEFT(head, tmp, field)) \
+ ARB_COLOR(ARB_LEFT(head, tmp, field), field) = ARB_BLACK; \
+ ARB_ROTATE_RIGHT(head, parent, tmp, field); \
+ elm = ARB_ROOT(head); \
+ break; \
+ } \
+ } \
+ } \
+ if (elm) \
+ ARB_COLOR(elm, field) = ARB_BLACK; \
+}
+
+#define ARB_GENERATE_REMOVE(name, type, field, attr) \
+attr struct type * \
+name##_ARB_REMOVE(struct name *head, struct type *elm) \
+{ \
+ struct type *child, *parent, *old = elm; \
+ int color; \
+ if (ARB_LEFT(head, elm, field) == NULL) \
+ child = ARB_RIGHT(head, elm, field); \
+ else if (ARB_RIGHT(head, elm, field) == NULL) \
+ child = ARB_LEFT(head, elm, field); \
+ else { \
+ struct type *left; \
+ elm = ARB_RIGHT(head, elm, field); \
+ while ((left = ARB_LEFT(head, elm, field)) != NULL) \
+ elm = left; \
+ child = ARB_RIGHT(head, elm, field); \
+ parent = ARB_PARENT(head, elm, field); \
+ color = ARB_COLOR(elm, field); \
+ if (child) \
+ ARB_PARENTIDX(child, field) = \
+ ARB_SELFIDX(head, parent); \
+ if (parent) { \
+ if (ARB_LEFT(head, parent, field) == elm) \
+ ARB_LEFTIDX(parent, field) = \
+ ARB_SELFIDX(head, child); \
+ else \
+ ARB_RIGHTIDX(parent, field) = \
+ ARB_SELFIDX(head, child); \
+ ARB_AUGMENT(parent); \
+ } else \
+ ARB_ROOTIDX(head) = ARB_SELFIDX(head, child); \
+ if (ARB_PARENT(head, elm, field) == old) \
+ parent = elm; \
+ (elm)->field = (old)->field; \
+ if (ARB_PARENT(head, old, field)) { \
+ if (ARB_LEFT(head, ARB_PARENT(head, old, field), \
+ field) == old) \
+ ARB_LEFTIDX(ARB_PARENT(head, old, field), \
+ field) = ARB_SELFIDX(head, elm); \
+ else \
+ ARB_RIGHTIDX(ARB_PARENT(head, old, field),\
+ field) = ARB_SELFIDX(head, elm); \
+ ARB_AUGMENT(ARB_PARENT(head, old, field)); \
+ } else \
+ ARB_ROOTIDX(head) = ARB_SELFIDX(head, elm); \
+ ARB_PARENTIDX(ARB_LEFT(head, old, field), field) = \
+ ARB_SELFIDX(head, elm); \
+ if (ARB_RIGHT(head, old, field)) \
+ ARB_PARENTIDX(ARB_RIGHT(head, old, field), \
+ field) = ARB_SELFIDX(head, elm); \
+ if (parent) { \
+ left = parent; \
+ do { \
+ ARB_AUGMENT(left); \
+ } while ((left = ARB_PARENT(head, left, field)) \
+ != NULL); \
+ } \
+ goto color; \
+ } \
+ parent = ARB_PARENT(head, elm, field); \
+ color = ARB_COLOR(elm, field); \
+ if (child) \
+ ARB_PARENTIDX(child, field) = ARB_SELFIDX(head, parent);\
+ if (parent) { \
+ if (ARB_LEFT(head, parent, field) == elm) \
+ ARB_LEFTIDX(parent, field) = \
+ ARB_SELFIDX(head, child); \
+ else \
+ ARB_RIGHTIDX(parent, field) = \
+ ARB_SELFIDX(head, child); \
+ ARB_AUGMENT(parent); \
+ } else \
+ ARB_ROOTIDX(head) = ARB_SELFIDX(head, child); \
+color: \
+ if (color == ARB_BLACK) \
+ name##_ARB_REMOVE_COLOR(head, parent, child); \
+ ARB_CURNODES(head) -= 1; \
+ if (ARB_MINIDX(head) == ARB_SELFIDX(head, old)) \
+ ARB_MINIDX(head) = ARB_PARENTIDX(old, field); \
+ if (ARB_MAXIDX(head) == ARB_SELFIDX(head, old)) \
+ ARB_MAXIDX(head) = ARB_PARENTIDX(old, field); \
+ ARB_RETURNFREE(head, old, field); \
+ return (old); \
+} \
+
+#define ARB_GENERATE_INSERT(name, type, field, cmp, attr) \
+/* Inserts a node into the RB tree */ \
+attr struct type * \
+name##_ARB_INSERT(struct name *head, struct type *elm) \
+{ \
+ struct type *tmp; \
+ struct type *parent = NULL; \
+ int comp = 0; \
+ tmp = ARB_ROOT(head); \
+ while (tmp) { \
+ parent = tmp; \
+ comp = (cmp)(elm, parent); \
+ if (comp < 0) \
+ tmp = ARB_LEFT(head, tmp, field); \
+ else if (comp > 0) \
+ tmp = ARB_RIGHT(head, tmp, field); \
+ else \
+ return (tmp); \
+ } \
+ ARB_SET(head, elm, parent, field); \
+ if (parent != NULL) { \
+ if (comp < 0) \
+ ARB_LEFTIDX(parent, field) = \
+ ARB_SELFIDX(head, elm); \
+ else \
+ ARB_RIGHTIDX(parent, field) = \
+ ARB_SELFIDX(head, elm); \
+ ARB_AUGMENT(parent); \
+ } else \
+ ARB_ROOTIDX(head) = ARB_SELFIDX(head, elm); \
+ name##_ARB_INSERT_COLOR(head, elm); \
+ ARB_CURNODES(head) += 1; \
+ if (ARB_MINIDX(head) == ARB_NULLIDX || \
+ (ARB_PARENTIDX(elm, field) == ARB_MINIDX(head) && \
+ ARB_LEFTIDX(parent, field) == ARB_SELFIDX(head, elm))) \
+ ARB_MINIDX(head) = ARB_SELFIDX(head, elm); \
+ if (ARB_MAXIDX(head) == ARB_NULLIDX || \
+ (ARB_PARENTIDX(elm, field) == ARB_MAXIDX(head) && \
+ ARB_RIGHTIDX(parent, field) == ARB_SELFIDX(head, elm))) \
+ ARB_MAXIDX(head) = ARB_SELFIDX(head, elm); \
+ return (NULL); \
+}
+
+#define ARB_GENERATE_CFIND(name, type, field, cmp, attr) \
+/* Finds the node with the same key as elm */ \
+attr const struct type * \
+name##_ARB_CFIND(const struct name *head, const struct type *elm) \
+{ \
+ const struct type *tmp = ARB_ROOT(head); \
+ int comp; \
+ while (tmp) { \
+ comp = cmp(elm, tmp); \
+ if (comp < 0) \
+ tmp = ARB_LEFT(head, tmp, field); \
+ else if (comp > 0) \
+ tmp = ARB_RIGHT(head, tmp, field); \
+ else \
+ return (tmp); \
+ } \
+ return (NULL); \
+}
+
+#define ARB_GENERATE_FIND(name, type, field, cmp, attr) \
+attr struct type * \
+name##_ARB_FIND(const struct name *head, const struct type *elm) \
+{ return (__DECONST(struct type *, name##_ARB_CFIND(head, elm))); }
+
+#define ARB_GENERATE_CNFIND(name, type, field, cmp, attr) \
+/* Finds the first node greater than or equal to the search key */ \
+attr const struct type * \
+name##_ARB_CNFIND(const struct name *head, const struct type *elm) \
+{ \
+ const struct type *tmp = ARB_ROOT(head); \
+ const struct type *res = NULL; \
+ int comp; \
+ while (tmp) { \
+ comp = cmp(elm, tmp); \
+ if (comp < 0) { \
+ res = tmp; \
+ tmp = ARB_LEFT(head, tmp, field); \
+ } \
+ else if (comp > 0) \
+ tmp = ARB_RIGHT(head, tmp, field); \
+ else \
+ return (tmp); \
+ } \
+ return (res); \
+}
+
+#define ARB_GENERATE_NFIND(name, type, field, cmp, attr) \
+attr struct type * \
+name##_ARB_NFIND(const struct name *head, const struct type *elm) \
+{ return (__DECONST(struct type *, name##_ARB_CNFIND(head, elm))); }
+
+#define ARB_GENERATE_CNEXT(name, type, field, attr) \
+/* ARGSUSED */ \
+attr const struct type * \
+name##_ARB_CNEXT(const struct name *head, const struct type *elm) \
+{ \
+ if (ARB_RIGHT(head, elm, field)) { \
+ elm = ARB_RIGHT(head, elm, field); \
+ while (ARB_LEFT(head, elm, field)) \
+ elm = ARB_LEFT(head, elm, field); \
+ } else { \
+ if (ARB_PARENT(head, elm, field) && \
+ (elm == ARB_LEFT(head, ARB_PARENT(head, elm, field),\
+ field))) \
+ elm = ARB_PARENT(head, elm, field); \
+ else { \
+ while (ARB_PARENT(head, elm, field) && \
+ (elm == ARB_RIGHT(head, ARB_PARENT(head, \
+ elm, field), field))) \
+ elm = ARB_PARENT(head, elm, field); \
+ elm = ARB_PARENT(head, elm, field); \
+ } \
+ } \
+ return (elm); \
+}
+
+#define ARB_GENERATE_NEXT(name, type, field, attr) \
+attr struct type * \
+name##_ARB_NEXT(const struct name *head, const struct type *elm) \
+{ return (__DECONST(struct type *, name##_ARB_CNEXT(head, elm))); }
+
+#define ARB_GENERATE_CPREV(name, type, field, attr) \
+/* ARGSUSED */ \
+attr const struct type * \
+name##_ARB_CPREV(const struct name *head, const struct type *elm) \
+{ \
+ if (ARB_LEFT(head, elm, field)) { \
+ elm = ARB_LEFT(head, elm, field); \
+ while (ARB_RIGHT(head, elm, field)) \
+ elm = ARB_RIGHT(head, elm, field); \
+ } else { \
+ if (ARB_PARENT(head, elm, field) && \
+ (elm == ARB_RIGHT(head, ARB_PARENT(head, elm, \
+ field), field))) \
+ elm = ARB_PARENT(head, elm, field); \
+ else { \
+ while (ARB_PARENT(head, elm, field) && \
+ (elm == ARB_LEFT(head, ARB_PARENT(head, elm,\
+ field), field))) \
+ elm = ARB_PARENT(head, elm, field); \
+ elm = ARB_PARENT(head, elm, field); \
+ } \
+ } \
+ return (elm); \
+}
+
+#define ARB_GENERATE_PREV(name, type, field, attr) \
+attr struct type * \
+name##_ARB_PREV(const struct name *head, const struct type *elm) \
+{ return (__DECONST(struct type *, name##_ARB_CPREV(head, elm))); }
+
+#define ARB_GENERATE_CMINMAX(name, type, field, attr) \
+attr const struct type * \
+name##_ARB_CMINMAX(const struct name *head, int val) \
+{ \
+ const struct type *tmp = ARB_EMPTY(head) ? NULL : ARB_ROOT(head);\
+ const struct type *parent = NULL; \
+ while (tmp) { \
+ parent = tmp; \
+ if (val < 0) \
+ tmp = ARB_LEFT(head, tmp, field); \
+ else \
+ tmp = ARB_RIGHT(head, tmp, field); \
+ } \
+ return (__DECONST(struct type *, parent)); \
+}
+
+#define ARB_GENERATE_MINMAX(name, type, field, attr) \
+attr struct type * \
+name##_ARB_MINMAX(const struct name *head, int val) \
+{ return (__DECONST(struct type *, name##_ARB_CMINMAX(head, val))); }
+
+#define ARB_GENERATE_REBALANCE(name, type, field, cmp, attr) \
+attr struct type * \
+name##_ARB_REBALANCE(struct name *head, struct type *elm) \
+{ \
+ struct type *cmpelm; \
+ if (((cmpelm = ARB_PREV(name, head, elm)) != NULL && \
+ (cmp)(cmpelm, elm) >= 0) || \
+ ((cmpelm = ARB_NEXT(name, head, elm)) != NULL && \
+ (cmp)(elm, cmpelm) >= 0)) { \
+ /* XXXLAS: Remove/insert is heavy handed. */ \
+ ARB_REMOVE(name, head, elm); \
+ /* Remove puts elm on the free list. */ \
+ elm = ARB_GETFREE(head, field); \
+ return (ARB_INSERT(name, head, elm)); \
+ } \
+ return (NULL); \
+} \
+
+#define ARB_INSERT(name, x, y) name##_ARB_INSERT(x, y)
+#define ARB_REMOVE(name, x, y) name##_ARB_REMOVE(x, y)
+#define ARB_CFIND(name, x, y) name##_ARB_CFIND(x, y)
+#define ARB_FIND(name, x, y) name##_ARB_FIND(x, y)
+#define ARB_CNFIND(name, x, y) name##_ARB_CNFIND(x, y)
+#define ARB_NFIND(name, x, y) name##_ARB_NFIND(x, y)
+#define ARB_CNEXT(name, x, y) name##_ARB_CNEXT(x, y)
+#define ARB_NEXT(name, x, y) name##_ARB_NEXT(x, y)
+#define ARB_CPREV(name, x, y) name##_ARB_CPREV(x, y)
+#define ARB_PREV(name, x, y) name##_ARB_PREV(x, y)
+#define ARB_CMIN(name, x) (ARB_MINIDX(x) == ARB_NULLIDX ? \
+ name##_ARB_CMINMAX(x, ARB_NEGINF) : ARB_CNODE(x, ARB_MINIDX(x)))
+#define ARB_MIN(name, x) (ARB_MINIDX(x) == ARB_NULLIDX ? \
+ name##_ARB_MINMAX(x, ARB_NEGINF) : ARB_NODE(x, ARB_MINIDX(x)))
+#define ARB_CMAX(name, x) (ARB_MAXIDX(x) == ARB_NULLIDX ? \
+ name##_ARB_CMINMAX(x, ARB_INF) : ARB_CNODE(x, ARB_MAXIDX(x)))
+#define ARB_MAX(name, x) (ARB_MAXIDX(x) == ARB_NULLIDX ? \
+ name##_ARB_MINMAX(x, ARB_INF) : ARB_NODE(x, ARB_MAXIDX(x)))
+#define ARB_REBALANCE(name, x, y) name##_ARB_REBALANCE(x, y)
+
+#define ARB_FOREACH(x, name, head) \
+ for ((x) = ARB_MIN(name, head); \
+ (x) != NULL; \
+ (x) = name##_ARB_NEXT(head, x))
+
+#define ARB_FOREACH_FROM(x, name, y) \
+ for ((x) = (y); \
+ ((x) != NULL) && ((y) = name##_ARB_NEXT(x), (x) != NULL); \
+ (x) = (y))
+
+#define ARB_FOREACH_SAFE(x, name, head, y) \
+ for ((x) = ARB_MIN(name, head); \
+ ((x) != NULL) && ((y) = name##_ARB_NEXT(x), (x) != NULL); \
+ (x) = (y))
+
+#define ARB_FOREACH_REVERSE(x, name, head) \
+ for ((x) = ARB_MAX(name, head); \
+ (x) != NULL; \
+ (x) = name##_ARB_PREV(x))
+
+#define ARB_FOREACH_REVERSE_FROM(x, name, y) \
+ for ((x) = (y); \
+ ((x) != NULL) && ((y) = name##_ARB_PREV(x), (x) != NULL); \
+ (x) = (y))
+
+#define ARB_FOREACH_REVERSE_SAFE(x, name, head, y) \
+ for ((x) = ARB_MAX(name, head); \
+ ((x) != NULL) && ((y) = name##_ARB_PREV(x), (x) != NULL); \
+ (x) = (y))
+
+#define ARB_ARRFOREACH(x, field, head) \
+ for ((x) = ARB_NODES(head); \
+ ARB_SELFIDX(head, x) < ARB_MAXNODES(head); \
+ (x)++)
+
+#define ARB_ARRFOREACH_REVWCOND(x, field, head, extracond) \
+ for ((x) = ARB_NODES(head) + (ARB_MAXNODES(head) - 1); \
+ (x) >= ARB_NODES(head) && (extracond); \
+ (x)--)
+
+#define ARB_ARRFOREACH_REVERSE(x, field, head) \
+ ARB_ARRFOREACH_REVWCOND(x, field, head, 1)
+
+#endif /* _SYS_ARB_H_ */
Index: head/tests/sys/sys/Makefile
===================================================================
--- head/tests/sys/sys/Makefile
+++ head/tests/sys/sys/Makefile
@@ -2,7 +2,7 @@
TESTSDIR= ${TESTSBASE}/sys/sys
-ATF_TESTS_C= bitstring_test qmath_test rb_test splay_test
+ATF_TESTS_C= arb_test bitstring_test qmath_test rb_test splay_test
WARNS?= 5
Index: head/tests/sys/sys/arb_test.c
===================================================================
--- head/tests/sys/sys/arb_test.c
+++ head/tests/sys/sys/arb_test.c
@@ -0,0 +1,115 @@
+/* $OpenBSD: rb-test.c,v 1.4 2008/04/13 00:22:17 djm Exp $ */
+/*
+ * Copyright 2019 Edward Tomasz Napierala <trasz@FreeBSD.org>
+ * Copyright 2002 Niels Provos <provos@citi.umich.edu>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. The name of the author may not be used to endorse or promote products
+ * derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+#include <sys/types.h>
+
+#include <sys/arb.h>
+#include <stdio.h>
+#include <stdlib.h>
+
+#include <atf-c.h>
+
+struct node {
+ ARB32_ENTRY() next;
+ int key;
+};
+
+ARB32_HEAD(tree, node) *root;
+
+static int
+compare(const struct node *a, const struct node *b)
+{
+ if (a->key < b->key) return (-1);
+ else if (a->key > b->key) return (1);
+ return (0);
+}
+
+ARB_PROTOTYPE(tree, node, next, compare);
+
+ARB_GENERATE(tree, node, next, compare);
+
+#define ITER 150
+#define MIN 5
+#define MAX 5000
+
+ATF_TC_WITHOUT_HEAD(arb_test);
+ATF_TC_BODY(arb_test, tc)
+{
+ struct node *tmp, *ins;
+ int i, max, min;
+
+ max = min = 42; /* pacify gcc */
+
+ root = (struct tree *)calloc(1, ARB_ALLOCSIZE(root, ITER, tmp));
+
+ ARB_INIT(tmp, next, root, ITER);
+
+ for (i = 0; i < ITER; i++) {
+ tmp = ARB_GETFREE(root, next);
+ ATF_REQUIRE_MSG(tmp != NULL, "ARB_GETFREE failed");
+ do {
+ tmp->key = arc4random_uniform(MAX-MIN);
+ tmp->key += MIN;
+ } while (ARB_FIND(tree, root, tmp) != NULL);
+ if (i == 0)
+ max = min = tmp->key;
+ else {
+ if (tmp->key > max)
+ max = tmp->key;
+ if (tmp->key < min)
+ min = tmp->key;
+ }
+ ATF_REQUIRE_EQ(NULL, ARB_INSERT(tree, root, tmp));
+ }
+
+ ins = ARB_MIN(tree, root);
+ ATF_REQUIRE_MSG(ins != NULL, "ARB_MIN error");
+ ATF_CHECK_EQ(min, ins->key);
+ tmp = ins;
+ ins = ARB_MAX(tree, root);
+ ATF_REQUIRE_MSG(ins != NULL, "ARB_MAX error");
+ ATF_CHECK_EQ(max, ins->key);
+
+ ATF_CHECK_EQ(tmp, ARB_REMOVE(tree, root, tmp));
+
+ for (i = 0; i < ITER - 1; i++) {
+ tmp = ARB_ROOT(root);
+ ATF_REQUIRE_MSG(tmp != NULL, "ARB_ROOT error");
+ ATF_CHECK_EQ(tmp, ARB_REMOVE(tree, root, tmp));
+ }
+}
+
+ATF_TP_ADD_TCS(tp)
+{
+
+ ATF_TP_ADD_TC(tp, arb_test);
+
+ return (atf_no_error());
+}

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