]> git.ipfire.org Git - thirdparty/suricata.git/commitdiff
interval-tree: add base data structure
authorShivani Bhardwaj <shivani@oisf.net>
Fri, 16 Feb 2024 07:14:10 +0000 (12:44 +0530)
committerVictor Julien <victor@inliniac.net>
Mon, 4 Mar 2024 10:50:30 +0000 (11:50 +0100)
Ticket 6792
Bug 6414

src/interval-tree.h [new file with mode: 0644]

diff --git a/src/interval-tree.h b/src/interval-tree.h
new file mode 100644 (file)
index 0000000..e1e7ffe
--- /dev/null
@@ -0,0 +1,791 @@
+/*     $NetBSD: interval-tree.h,v 1.8 2004/03/28 19:38:30 provos Exp $ */
+/*     $OpenBSD: interval-tree.h,v 1.7 2002/10/17 21:51:54 art Exp $   */
+/* $FreeBSD$ */
+
+/* This is a COPY of the in-tree tree.h */
+
+/*-
+ * 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_INTERVALTREE_H_
+#define _SYS_INTERVALTREE_H_
+
+#if defined(__clang_analyzer__)
+#define _T_ASSERT(a) assert((a))
+#else
+#define _T_ASSERT(a)
+#endif
+
+/*
+ * This file defines data structures for different types of trees:
+ * splay trees and red-black trees.
+ *
+ * A splay is a self-organizing tree data structure.  Every operation
+ * on the tree causes a splay to happen.  The splay moves the requested
+ * node to the root of the tree and partly rebalances it.
+ *
+ * This has the benefit that request locality causes faster lookups as
+ * the requested nodes move to the top of the tree.  On the other hand,
+ * every lookup causes memory writes.
+ *
+ * The Balance Theorem bounds the total access time for m operations
+ * and n inserts on an initially empty tree as O((m + n)lg n).  The
+ * amortized cost for a sequence of m accesses to a splay tree is O(lg n);
+ *
+ * A red-black tree is a binary search interval-tree with the node color as an
+ * extra attribute.  It fulfills a set of conditions:
+ *     - every search path from the root to a leaf consists of the
+ *       same number of black nodes,
+ *     - each red node (except for the root) has a black parent,
+ *     - each leaf node is black.
+ *
+ * Every operation on a red-black tree is bounded as O(lg n).
+ * The maximum height of a red-black tree is 2lg (n+1).
+ */
+
+#define SPLAY_HEAD(name, type)                                                                     \
+    struct name {                                                                                  \
+        struct type *sph_root; /* root of the tree */                                              \
+    }
+
+#define SPLAY_INITIALIZER(root)                                                                    \
+    {                                                                                              \
+        NULL                                                                                       \
+    }
+
+#define SPLAY_INIT(root)                                                                           \
+    do {                                                                                           \
+        (root)->sph_root = NULL;                                                                   \
+    } while (/*CONSTCOND*/ 0)
+
+#define SPLAY_ENTRY(type)                                                                          \
+    struct {                                                                                       \
+        struct type *spe_left;  /* left element */                                                 \
+        struct type *spe_right; /* right element */                                                \
+    }
+
+#define SPLAY_LEFT(elm, field)  (elm)->field.spe_left
+#define SPLAY_RIGHT(elm, field) (elm)->field.spe_right
+#define SPLAY_ROOT(head)        (head)->sph_root
+#define SPLAY_EMPTY(head)       (SPLAY_ROOT(head) == NULL)
+
+/* SPLAY_ROTATE_{LEFT,RIGHT} expect that tmp hold SPLAY_{RIGHT,LEFT} */
+#define SPLAY_ROTATE_RIGHT(head, tmp, field)                                                       \
+    do {                                                                                           \
+        SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(tmp, field);                             \
+        SPLAY_RIGHT(tmp, field) = (head)->sph_root;                                                \
+        (head)->sph_root = tmp;                                                                    \
+    } while (/*CONSTCOND*/ 0)
+
+#define SPLAY_ROTATE_LEFT(head, tmp, field)                                                        \
+    do {                                                                                           \
+        SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(tmp, field);                             \
+        SPLAY_LEFT(tmp, field) = (head)->sph_root;                                                 \
+        (head)->sph_root = tmp;                                                                    \
+    } while (/*CONSTCOND*/ 0)
+
+#define SPLAY_LINKLEFT(head, tmp, field)                                                           \
+    do {                                                                                           \
+        SPLAY_LEFT(tmp, field) = (head)->sph_root;                                                 \
+        tmp = (head)->sph_root;                                                                    \
+        (head)->sph_root = SPLAY_LEFT((head)->sph_root, field);                                    \
+    } while (/*CONSTCOND*/ 0)
+
+#define SPLAY_LINKRIGHT(head, tmp, field)                                                          \
+    do {                                                                                           \
+        SPLAY_RIGHT(tmp, field) = (head)->sph_root;                                                \
+        tmp = (head)->sph_root;                                                                    \
+        (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field);                                   \
+    } while (/*CONSTCOND*/ 0)
+
+#define SPLAY_ASSEMBLE(head, node, left, right, field)                                             \
+    do {                                                                                           \
+        SPLAY_RIGHT(left, field) = SPLAY_LEFT((head)->sph_root, field);                            \
+        SPLAY_LEFT(right, field) = SPLAY_RIGHT((head)->sph_root, field);                           \
+        SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(node, field);                            \
+        SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(node, field);                            \
+    } while (/*CONSTCOND*/ 0)
+
+/* Generates prototypes and inline functions */
+
+#define SPLAY_PROTOTYPE(name, type, field, cmp)                                                    \
+    void name##_SPLAY(struct name *, struct type *);                                               \
+    void name##_SPLAY_MINMAX(struct name *, int);                                                  \
+    struct type *name##_SPLAY_INSERT(struct name *, struct type *);                                \
+    struct type *name##_SPLAY_REMOVE(struct name *, struct type *);                                \
+                                                                                                   \
+    /* Finds the node with the same key as elm */                                                  \
+    static __inline struct type *name##_SPLAY_FIND(struct name *head, struct type *elm)            \
+    {                                                                                              \
+        if (SPLAY_EMPTY(head))                                                                     \
+            return (NULL);                                                                         \
+        name##_SPLAY(head, elm);                                                                   \
+        if ((cmp)(elm, (head)->sph_root) == 0)                                                     \
+            return (head->sph_root);                                                               \
+        return (NULL);                                                                             \
+    }                                                                                              \
+                                                                                                   \
+    static __inline struct type *name##_SPLAY_NEXT(struct name *head, struct type *elm)            \
+    {                                                                                              \
+        name##_SPLAY(head, elm);                                                                   \
+        if (SPLAY_RIGHT(elm, field) != NULL) {                                                     \
+            elm = SPLAY_RIGHT(elm, field);                                                         \
+            while (SPLAY_LEFT(elm, field) != NULL) {                                               \
+                elm = SPLAY_LEFT(elm, field);                                                      \
+            }                                                                                      \
+        } else                                                                                     \
+            elm = NULL;                                                                            \
+        return (elm);                                                                              \
+    }                                                                                              \
+                                                                                                   \
+    static __inline struct type *name##_SPLAY_MIN_MAX(struct name *head, int val)                  \
+    {                                                                                              \
+        name##_SPLAY_MINMAX(head, val);                                                            \
+        return (SPLAY_ROOT(head));                                                                 \
+    }
+
+/* Main splay operation.
+ * Moves node close to the key of elm to top
+ */
+#define SPLAY_GENERATE(name, type, field, cmp)                                                     \
+    struct type *name##_SPLAY_INSERT(struct name *head, struct type *elm)                          \
+    {                                                                                              \
+        if (SPLAY_EMPTY(head)) {                                                                   \
+            SPLAY_LEFT(elm, field) = SPLAY_RIGHT(elm, field) = NULL;                               \
+        } else {                                                                                   \
+            int __comp;                                                                            \
+            name##_SPLAY(head, elm);                                                               \
+            __comp = (cmp)(elm, (head)->sph_root);                                                 \
+            if (__comp < 0) {                                                                      \
+                SPLAY_LEFT(elm, field) = SPLAY_LEFT((head)->sph_root, field);                      \
+                SPLAY_RIGHT(elm, field) = (head)->sph_root;                                        \
+                SPLAY_LEFT((head)->sph_root, field) = NULL;                                        \
+            } else if (__comp > 0) {                                                               \
+                SPLAY_RIGHT(elm, field) = SPLAY_RIGHT((head)->sph_root, field);                    \
+                SPLAY_LEFT(elm, field) = (head)->sph_root;                                         \
+                SPLAY_RIGHT((head)->sph_root, field) = NULL;                                       \
+            } else                                                                                 \
+                return ((head)->sph_root);                                                         \
+        }                                                                                          \
+        (head)->sph_root = (elm);                                                                  \
+        return (NULL);                                                                             \
+    }                                                                                              \
+                                                                                                   \
+    struct type *name##_SPLAY_REMOVE(struct name *head, struct type *elm)                          \
+    {                                                                                              \
+        struct type *__tmp;                                                                        \
+        if (SPLAY_EMPTY(head))                                                                     \
+            return (NULL);                                                                         \
+        name##_SPLAY(head, elm);                                                                   \
+        if ((cmp)(elm, (head)->sph_root) == 0) {                                                   \
+            if (SPLAY_LEFT((head)->sph_root, field) == NULL) {                                     \
+                (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field);                           \
+            } else {                                                                               \
+                __tmp = SPLAY_RIGHT((head)->sph_root, field);                                      \
+                (head)->sph_root = SPLAY_LEFT((head)->sph_root, field);                            \
+                name##_SPLAY(head, elm);                                                           \
+                SPLAY_RIGHT((head)->sph_root, field) = __tmp;                                      \
+            }                                                                                      \
+            return (elm);                                                                          \
+        }                                                                                          \
+        return (NULL);                                                                             \
+    }                                                                                              \
+                                                                                                   \
+    void name##_SPLAY(struct name *head, struct type *elm)                                         \
+    {                                                                                              \
+        struct type __node, *__left, *__right, *__tmp;                                             \
+        int __comp;                                                                                \
+                                                                                                   \
+        SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;                           \
+        __left = __right = &__node;                                                                \
+                                                                                                   \
+        while ((__comp = (cmp)(elm, (head)->sph_root)) != 0) {                                     \
+            if (__comp < 0) {                                                                      \
+                __tmp = SPLAY_LEFT((head)->sph_root, field);                                       \
+                if (__tmp == NULL)                                                                 \
+                    break;                                                                         \
+                if ((cmp)(elm, __tmp) < 0) {                                                       \
+                    SPLAY_ROTATE_RIGHT(head, __tmp, field);                                        \
+                    if (SPLAY_LEFT((head)->sph_root, field) == NULL)                               \
+                        break;                                                                     \
+                }                                                                                  \
+                SPLAY_LINKLEFT(head, __right, field);                                              \
+            } else if (__comp > 0) {                                                               \
+                __tmp = SPLAY_RIGHT((head)->sph_root, field);                                      \
+                if (__tmp == NULL)                                                                 \
+                    break;                                                                         \
+                if ((cmp)(elm, __tmp) > 0) {                                                       \
+                    SPLAY_ROTATE_LEFT(head, __tmp, field);                                         \
+                    if (SPLAY_RIGHT((head)->sph_root, field) == NULL)                              \
+                        break;                                                                     \
+                }                                                                                  \
+                SPLAY_LINKRIGHT(head, __left, field);                                              \
+            }                                                                                      \
+        }                                                                                          \
+        SPLAY_ASSEMBLE(head, &__node, __left, __right, field);                                     \
+    }                                                                                              \
+                                                                                                   \
+    /* Splay with either the minimum or the maximum element                                        \
+     * Used to find minimum or maximum element in tree.                                            \
+     */                                                                                            \
+    void name##_SPLAY_MINMAX(struct name *head, int __comp)                                        \
+    {                                                                                              \
+        struct type __node, *__left, *__right, *__tmp;                                             \
+                                                                                                   \
+        SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;                           \
+        __left = __right = &__node;                                                                \
+                                                                                                   \
+        while (1) {                                                                                \
+            if (__comp < 0) {                                                                      \
+                __tmp = SPLAY_LEFT((head)->sph_root, field);                                       \
+                if (__tmp == NULL)                                                                 \
+                    break;                                                                         \
+                if (__comp < 0) {                                                                  \
+                    SPLAY_ROTATE_RIGHT(head, __tmp, field);                                        \
+                    if (SPLAY_LEFT((head)->sph_root, field) == NULL)                               \
+                        break;                                                                     \
+                }                                                                                  \
+                SPLAY_LINKLEFT(head, __right, field);                                              \
+            } else if (__comp > 0) {                                                               \
+                __tmp = SPLAY_RIGHT((head)->sph_root, field);                                      \
+                if (__tmp == NULL)                                                                 \
+                    break;                                                                         \
+                if (__comp > 0) {                                                                  \
+                    SPLAY_ROTATE_LEFT(head, __tmp, field);                                         \
+                    if (SPLAY_RIGHT((head)->sph_root, field) == NULL)                              \
+                        break;                                                                     \
+                }                                                                                  \
+                SPLAY_LINKRIGHT(head, __left, field);                                              \
+            }                                                                                      \
+        }                                                                                          \
+        SPLAY_ASSEMBLE(head, &__node, __left, __right, field);                                     \
+    }
+
+#define SPLAY_NEGINF -1
+#define SPLAY_INF    1
+
+#define SPLAY_INSERT(name, x, y) name##_SPLAY_INSERT(x, y)
+#define SPLAY_REMOVE(name, x, y) name##_SPLAY_REMOVE(x, y)
+#define SPLAY_FIND(name, x, y)   name##_SPLAY_FIND(x, y)
+#define SPLAY_NEXT(name, x, y)   name##_SPLAY_NEXT(x, y)
+#define SPLAY_MIN(name, x)       (SPLAY_EMPTY(x) ? NULL : name##_SPLAY_MIN_MAX(x, SPLAY_NEGINF))
+#define SPLAY_MAX(name, x)       (SPLAY_EMPTY(x) ? NULL : name##_SPLAY_MIN_MAX(x, SPLAY_INF))
+
+#define SPLAY_FOREACH(x, name, head)                                                               \
+    for ((x) = SPLAY_MIN(name, head); (x) != NULL; (x) = SPLAY_NEXT(name, head, x))
+
+/* Macros that define a red-black tree */
+#define IRB_HEAD(name, type)                                                                       \
+    struct name {                                                                                  \
+        struct type *rbh_root; /* root of the tree */                                              \
+    }
+
+#define IRB_INITIALIZER(root)                                                                      \
+    {                                                                                              \
+        NULL                                                                                       \
+    }
+
+#define IRB_INIT(root)                                                                             \
+    do {                                                                                           \
+        (root)->rbh_root = NULL;                                                                   \
+    } while (/*CONSTCOND*/ 0)
+
+#define IRB_BLACK 0
+#define IRB_RED   1
+#define IRB_ENTRY(type)                                                                            \
+    struct {                                                                                       \
+        struct type *rbe_left;   /* left element */                                                \
+        struct type *rbe_right;  /* right element */                                               \
+        struct type *rbe_parent; /* parent element */                                              \
+        int rbe_color;           /* node color */                                                  \
+    }
+
+#define IRB_LEFT(elm, field)   (elm)->field.rbe_left
+#define IRB_RIGHT(elm, field)  (elm)->field.rbe_right
+#define IRB_PARENT(elm, field) (elm)->field.rbe_parent
+#define IRB_COLOR(elm, field)  (elm)->field.rbe_color
+#define IRB_ROOT(head)         (head)->rbh_root
+#define IRB_EMPTY(head)        (IRB_ROOT(head) == NULL)
+
+#define IRB_SET(elm, parent, field)                                                                \
+    do {                                                                                           \
+        IRB_PARENT(elm, field) = parent;                                                           \
+        IRB_LEFT(elm, field) = IRB_RIGHT(elm, field) = NULL;                                       \
+        IRB_COLOR(elm, field) = IRB_RED;                                                           \
+    } while (/*CONSTCOND*/ 0)
+
+#define IRB_SET_BLACKRED(black, red, field)                                                        \
+    do {                                                                                           \
+        IRB_COLOR(black, field) = IRB_BLACK;                                                       \
+        IRB_COLOR(red, field) = IRB_RED;                                                           \
+    } while (/*CONSTCOND*/ 0)
+
+#ifndef IRB_AUGMENT
+#define IRB_AUGMENT(x)                                                                             \
+    do {                                                                                           \
+    } while (0)
+#endif
+
+#define IRB_ROTATE_LEFT(head, elm, tmp, field)                                                     \
+    do {                                                                                           \
+        (tmp) = IRB_RIGHT(elm, field);                                                             \
+        if ((IRB_RIGHT(elm, field) = IRB_LEFT(tmp, field)) != NULL) {                              \
+            IRB_PARENT(IRB_LEFT(tmp, field), field) = (elm);                                       \
+        }                                                                                          \
+        IRB_AUGMENT(elm);                                                                          \
+        if ((IRB_PARENT(tmp, field) = IRB_PARENT(elm, field)) != NULL) {                           \
+            if ((elm) == IRB_LEFT(IRB_PARENT(elm, field), field))                                  \
+                IRB_LEFT(IRB_PARENT(elm, field), field) = (tmp);                                   \
+            else                                                                                   \
+                IRB_RIGHT(IRB_PARENT(elm, field), field) = (tmp);                                  \
+        } else                                                                                     \
+            (head)->rbh_root = (tmp);                                                              \
+        IRB_LEFT(tmp, field) = (elm);                                                              \
+        IRB_PARENT(elm, field) = (tmp);                                                            \
+        IRB_AUGMENT(tmp);                                                                          \
+        if ((IRB_PARENT(tmp, field)))                                                              \
+            IRB_AUGMENT(IRB_PARENT(tmp, field));                                                   \
+    } while (/*CONSTCOND*/ 0)
+
+#define IRB_ROTATE_RIGHT(head, elm, tmp, field)                                                    \
+    do {                                                                                           \
+        (tmp) = IRB_LEFT(elm, field);                                                              \
+        if ((IRB_LEFT(elm, field) = IRB_RIGHT(tmp, field)) != NULL) {                              \
+            IRB_PARENT(IRB_RIGHT(tmp, field), field) = (elm);                                      \
+        }                                                                                          \
+        IRB_AUGMENT(elm);                                                                          \
+        if ((IRB_PARENT(tmp, field) = IRB_PARENT(elm, field)) != NULL) {                           \
+            if ((elm) == IRB_LEFT(IRB_PARENT(elm, field), field))                                  \
+                IRB_LEFT(IRB_PARENT(elm, field), field) = (tmp);                                   \
+            else                                                                                   \
+                IRB_RIGHT(IRB_PARENT(elm, field), field) = (tmp);                                  \
+        } else                                                                                     \
+            (head)->rbh_root = (tmp);                                                              \
+        IRB_RIGHT(tmp, field) = (elm);                                                             \
+        IRB_PARENT(elm, field) = (tmp);                                                            \
+        IRB_AUGMENT(tmp);                                                                          \
+        if ((IRB_PARENT(tmp, field)))                                                              \
+            IRB_AUGMENT(IRB_PARENT(tmp, field));                                                   \
+    } while (/*CONSTCOND*/ 0)
+
+/* Generates prototypes and inline functions */
+#define IRB_PROTOTYPE(name, type, field, cmp) IRB_PROTOTYPE_INTERNAL(name, type, field, cmp, )
+#define IRB_PROTOTYPE_STATIC(name, type, field, cmp)                                               \
+    IRB_PROTOTYPE_INTERNAL(name, type, field, cmp, __unused static)
+#define IRB_PROTOTYPE_INTERNAL(name, type, field, cmp, attr)                                       \
+    IRB_PROTOTYPE_INSERT_COLOR(name, type, attr);                                                  \
+    IRB_PROTOTYPE_REMOVE_COLOR(name, type, attr);                                                  \
+    IRB_PROTOTYPE_INSERT(name, type, attr);                                                        \
+    IRB_PROTOTYPE_REMOVE(name, type, attr);                                                        \
+    IRB_PROTOTYPE_FIND(name, type, attr);                                                          \
+    IRB_PROTOTYPE_NFIND(name, type, attr);                                                         \
+    IRB_PROTOTYPE_NEXT(name, type, attr);                                                          \
+    IRB_PROTOTYPE_PREV(name, type, attr);                                                          \
+    IRB_PROTOTYPE_MINMAX(name, type, attr);
+#define IRB_PROTOTYPE_INSERT_COLOR(name, type, attr)                                               \
+    attr void name##_IRB_INSERT_COLOR(struct name *, struct type *)
+#define IRB_PROTOTYPE_REMOVE_COLOR(name, type, attr)                                               \
+    attr void name##_IRB_REMOVE_COLOR(struct name *, struct type *, struct type *)
+#define IRB_PROTOTYPE_REMOVE(name, type, attr)                                                     \
+    attr struct type *name##_IRB_REMOVE(struct name *, struct type *)
+#define IRB_PROTOTYPE_INSERT(name, type, attr)                                                     \
+    attr struct type *name##_IRB_INSERT(struct name *, struct type *)
+#define IRB_PROTOTYPE_FIND(name, type, attr)                                                       \
+    attr struct type *name##_IRB_FIND(struct name *, struct type *)
+#define IRB_PROTOTYPE_NFIND(name, type, attr)                                                      \
+    attr struct type *name##_IRB_NFIND(struct name *, struct type *)
+#define IRB_PROTOTYPE_NEXT(name, type, attr) attr struct type *name##_IRB_NEXT(struct type *)
+#define IRB_PROTOTYPE_PREV(name, type, attr) attr struct type *name##_IRB_PREV(struct type *)
+#define IRB_PROTOTYPE_MINMAX(name, type, attr)                                                     \
+    attr struct type *name##_IRB_MINMAX(struct name *, int)
+
+/* Main rb operation.
+ * Moves node close to the key of elm to top
+ */
+#define IRB_GENERATE(name, type, field, cmp) IRB_GENERATE_INTERNAL(name, type, field, cmp, )
+#define IRB_GENERATE_STATIC(name, type, field, cmp)                                                \
+    IRB_GENERATE_INTERNAL(name, type, field, cmp, __unused static)
+#define IRB_GENERATE_INTERNAL(name, type, field, cmp, attr)                                        \
+    IRB_GENERATE_INSERT_COLOR(name, type, field, attr)                                             \
+    IRB_GENERATE_REMOVE_COLOR(name, type, field, attr)                                             \
+    IRB_GENERATE_INSERT(name, type, field, cmp, attr)                                              \
+    IRB_GENERATE_REMOVE(name, type, field, attr)                                                   \
+    IRB_GENERATE_FIND(name, type, field, cmp, attr)                                                \
+    IRB_GENERATE_NFIND(name, type, field, cmp, attr)                                               \
+    IRB_GENERATE_NEXT(name, type, field, attr)                                                     \
+    IRB_GENERATE_PREV(name, type, field, attr)                                                     \
+    IRB_GENERATE_MINMAX(name, type, field, attr)
+
+#define IRB_GENERATE_INSERT_COLOR(name, type, field, attr)                                         \
+    attr void name##_IRB_INSERT_COLOR(struct name *head, struct type *elm)                         \
+    {                                                                                              \
+        struct type *parent, *gparent, *tmp;                                                       \
+        while ((parent = IRB_PARENT(elm, field)) != NULL && IRB_COLOR(parent, field) == IRB_RED) { \
+            gparent = IRB_PARENT(parent, field);                                                   \
+            _T_ASSERT(gparent);                                                                    \
+            if (parent == IRB_LEFT(gparent, field)) {                                              \
+                tmp = IRB_RIGHT(gparent, field);                                                   \
+                if (tmp && IRB_COLOR(tmp, field) == IRB_RED) {                                     \
+                    IRB_COLOR(tmp, field) = IRB_BLACK;                                             \
+                    IRB_SET_BLACKRED(parent, gparent, field);                                      \
+                    elm = gparent;                                                                 \
+                    continue;                                                                      \
+                }                                                                                  \
+                if (IRB_RIGHT(parent, field) == elm) {                                             \
+                    IRB_ROTATE_LEFT(head, parent, tmp, field);                                     \
+                    tmp = parent;                                                                  \
+                    parent = elm;                                                                  \
+                    elm = tmp;                                                                     \
+                }                                                                                  \
+                IRB_SET_BLACKRED(parent, gparent, field);                                          \
+                IRB_ROTATE_RIGHT(head, gparent, tmp, field);                                       \
+            } else {                                                                               \
+                tmp = IRB_LEFT(gparent, field);                                                    \
+                if (tmp && IRB_COLOR(tmp, field) == IRB_RED) {                                     \
+                    IRB_COLOR(tmp, field) = IRB_BLACK;                                             \
+                    IRB_SET_BLACKRED(parent, gparent, field);                                      \
+                    elm = gparent;                                                                 \
+                    continue;                                                                      \
+                }                                                                                  \
+                if (IRB_LEFT(parent, field) == elm) {                                              \
+                    IRB_ROTATE_RIGHT(head, parent, tmp, field);                                    \
+                    tmp = parent;                                                                  \
+                    parent = elm;                                                                  \
+                    elm = tmp;                                                                     \
+                }                                                                                  \
+                IRB_SET_BLACKRED(parent, gparent, field);                                          \
+                IRB_ROTATE_LEFT(head, gparent, tmp, field);                                        \
+            }                                                                                      \
+        }                                                                                          \
+        IRB_COLOR(head->rbh_root, field) = IRB_BLACK;                                              \
+    }
+
+#define IRB_GENERATE_REMOVE_COLOR(name, type, field, attr)                                         \
+    attr void name##_IRB_REMOVE_COLOR(struct name *head, struct type *parent, struct type *elm)    \
+    {                                                                                              \
+        struct type *tmp;                                                                          \
+        while ((elm == NULL || IRB_COLOR(elm, field) == IRB_BLACK) && elm != IRB_ROOT(head)) {     \
+            if (IRB_LEFT(parent, field) == elm) {                                                  \
+                tmp = IRB_RIGHT(parent, field);                                                    \
+                if (IRB_COLOR(tmp, field) == IRB_RED) {                                            \
+                    IRB_SET_BLACKRED(tmp, parent, field);                                          \
+                    IRB_ROTATE_LEFT(head, parent, tmp, field);                                     \
+                    tmp = IRB_RIGHT(parent, field);                                                \
+                }                                                                                  \
+                _T_ASSERT(tmp);                                                                    \
+                if ((IRB_LEFT(tmp, field) == NULL ||                                               \
+                            IRB_COLOR(IRB_LEFT(tmp, field), field) == IRB_BLACK) &&                \
+                        (IRB_RIGHT(tmp, field) == NULL ||                                          \
+                                IRB_COLOR(IRB_RIGHT(tmp, field), field) == IRB_BLACK)) {           \
+                    IRB_COLOR(tmp, field) = IRB_RED;                                               \
+                    elm = parent;                                                                  \
+                    parent = IRB_PARENT(elm, field);                                               \
+                } else {                                                                           \
+                    if (IRB_RIGHT(tmp, field) == NULL ||                                           \
+                            IRB_COLOR(IRB_RIGHT(tmp, field), field) == IRB_BLACK) {                \
+                        struct type *oleft;                                                        \
+                        if ((oleft = IRB_LEFT(tmp, field)) != NULL)                                \
+                            IRB_COLOR(oleft, field) = IRB_BLACK;                                   \
+                        IRB_COLOR(tmp, field) = IRB_RED;                                           \
+                        IRB_ROTATE_RIGHT(head, tmp, oleft, field);                                 \
+                        tmp = IRB_RIGHT(parent, field);                                            \
+                    }                                                                              \
+                    IRB_COLOR(tmp, field) = IRB_COLOR(parent, field);                              \
+                    IRB_COLOR(parent, field) = IRB_BLACK;                                          \
+                    if (IRB_RIGHT(tmp, field))                                                     \
+                        IRB_COLOR(IRB_RIGHT(tmp, field), field) = IRB_BLACK;                       \
+                    IRB_ROTATE_LEFT(head, parent, tmp, field);                                     \
+                    elm = IRB_ROOT(head);                                                          \
+                    break;                                                                         \
+                }                                                                                  \
+            } else {                                                                               \
+                tmp = IRB_LEFT(parent, field);                                                     \
+                if (IRB_COLOR(tmp, field) == IRB_RED) {                                            \
+                    IRB_SET_BLACKRED(tmp, parent, field);                                          \
+                    IRB_ROTATE_RIGHT(head, parent, tmp, field);                                    \
+                    tmp = IRB_LEFT(parent, field);                                                 \
+                }                                                                                  \
+                _T_ASSERT(tmp);                                                                    \
+                if ((IRB_LEFT(tmp, field) == NULL ||                                               \
+                            IRB_COLOR(IRB_LEFT(tmp, field), field) == IRB_BLACK) &&                \
+                        (IRB_RIGHT(tmp, field) == NULL ||                                          \
+                                IRB_COLOR(IRB_RIGHT(tmp, field), field) == IRB_BLACK)) {           \
+                    IRB_COLOR(tmp, field) = IRB_RED;                                               \
+                    elm = parent;                                                                  \
+                    parent = IRB_PARENT(elm, field);                                               \
+                } else {                                                                           \
+                    if (IRB_LEFT(tmp, field) == NULL ||                                            \
+                            IRB_COLOR(IRB_LEFT(tmp, field), field) == IRB_BLACK) {                 \
+                        struct type *oright;                                                       \
+                        if ((oright = IRB_RIGHT(tmp, field)) != NULL)                              \
+                            IRB_COLOR(oright, field) = IRB_BLACK;                                  \
+                        IRB_COLOR(tmp, field) = IRB_RED;                                           \
+                        IRB_ROTATE_LEFT(head, tmp, oright, field);                                 \
+                        tmp = IRB_LEFT(parent, field);                                             \
+                    }                                                                              \
+                    IRB_COLOR(tmp, field) = IRB_COLOR(parent, field);                              \
+                    IRB_COLOR(parent, field) = IRB_BLACK;                                          \
+                    if (IRB_LEFT(tmp, field))                                                      \
+                        IRB_COLOR(IRB_LEFT(tmp, field), field) = IRB_BLACK;                        \
+                    IRB_ROTATE_RIGHT(head, parent, tmp, field);                                    \
+                    elm = IRB_ROOT(head);                                                          \
+                    break;                                                                         \
+                }                                                                                  \
+            }                                                                                      \
+        }                                                                                          \
+        if (elm)                                                                                   \
+            IRB_COLOR(elm, field) = IRB_BLACK;                                                     \
+    }
+
+#define IRB_GENERATE_REMOVE(name, type, field, attr)                                               \
+    attr struct type *name##_IRB_REMOVE(struct name *head, struct type *elm)                       \
+    {                                                                                              \
+        struct type *child, *parent, *old = elm;                                                   \
+        int color;                                                                                 \
+        if (IRB_LEFT(elm, field) == NULL)                                                          \
+            child = IRB_RIGHT(elm, field);                                                         \
+        else if (IRB_RIGHT(elm, field) == NULL)                                                    \
+            child = IRB_LEFT(elm, field);                                                          \
+        else {                                                                                     \
+            struct type *left;                                                                     \
+            elm = IRB_RIGHT(elm, field);                                                           \
+            while ((left = IRB_LEFT(elm, field)) != NULL)                                          \
+                elm = left;                                                                        \
+            child = IRB_RIGHT(elm, field);                                                         \
+            parent = IRB_PARENT(elm, field);                                                       \
+            color = IRB_COLOR(elm, field);                                                         \
+            if (child)                                                                             \
+                IRB_PARENT(child, field) = parent;                                                 \
+            if (parent) {                                                                          \
+                if (IRB_LEFT(parent, field) == elm)                                                \
+                    IRB_LEFT(parent, field) = child;                                               \
+                else                                                                               \
+                    IRB_RIGHT(parent, field) = child;                                              \
+                IRB_AUGMENT(parent);                                                               \
+            } else                                                                                 \
+                IRB_ROOT(head) = child;                                                            \
+            if (IRB_PARENT(elm, field) == old)                                                     \
+                parent = elm;                                                                      \
+            _T_ASSERT((old));                                                                      \
+            (elm)->field = (old)->field;                                                           \
+            if (IRB_PARENT(old, field)) {                                                          \
+                if (IRB_LEFT(IRB_PARENT(old, field), field) == old)                                \
+                    IRB_LEFT(IRB_PARENT(old, field), field) = elm;                                 \
+                else                                                                               \
+                    IRB_RIGHT(IRB_PARENT(old, field), field) = elm;                                \
+                IRB_AUGMENT(IRB_PARENT(old, field));                                               \
+            } else                                                                                 \
+                IRB_ROOT(head) = elm;                                                              \
+            _T_ASSERT(old);                                                                        \
+            _T_ASSERT(IRB_LEFT(old, field));                                                       \
+            IRB_PARENT(IRB_LEFT(old, field), field) = elm;                                         \
+            if (IRB_RIGHT(old, field))                                                             \
+                IRB_PARENT(IRB_RIGHT(old, field), field) = elm;                                    \
+            if (parent) {                                                                          \
+                left = parent;                                                                     \
+                do {                                                                               \
+                    IRB_AUGMENT(left);                                                             \
+                } while ((left = IRB_PARENT(left, field)) != NULL);                                \
+            }                                                                                      \
+            goto color;                                                                            \
+        }                                                                                          \
+        parent = IRB_PARENT(elm, field);                                                           \
+        color = IRB_COLOR(elm, field);                                                             \
+        if (child)                                                                                 \
+            IRB_PARENT(child, field) = parent;                                                     \
+        if (parent) {                                                                              \
+            if (IRB_LEFT(parent, field) == elm)                                                    \
+                IRB_LEFT(parent, field) = child;                                                   \
+            else                                                                                   \
+                IRB_RIGHT(parent, field) = child;                                                  \
+            IRB_AUGMENT(parent);                                                                   \
+        } else                                                                                     \
+            IRB_ROOT(head) = child;                                                                \
+    color:                                                                                         \
+        if (color == IRB_BLACK)                                                                    \
+            name##_IRB_REMOVE_COLOR(head, parent, child);                                          \
+        return (old);                                                                              \
+    }
+
+#define IRB_GENERATE_INSERT(name, type, field, cmp, attr)                                          \
+    /* Inserts a node into the IRB tree */                                                         \
+    attr struct type *name##_IRB_INSERT(struct name *head, struct type *elm)                       \
+    {                                                                                              \
+        struct type *tmp;                                                                          \
+        struct type *parent = NULL;                                                                \
+        int comp = 0;                                                                              \
+        tmp = IRB_ROOT(head);                                                                      \
+        while (tmp) {                                                                              \
+            parent = tmp;                                                                          \
+            comp = (cmp)(elm, parent);                                                             \
+            if (comp < 0)                                                                          \
+                tmp = IRB_LEFT(tmp, field);                                                        \
+            else if (comp > 0)                                                                     \
+                tmp = IRB_RIGHT(tmp, field);                                                       \
+            else                                                                                   \
+                return (tmp);                                                                      \
+        }                                                                                          \
+        IRB_SET(elm, parent, field);                                                               \
+        if (parent != NULL) {                                                                      \
+            if (comp < 0)                                                                          \
+                IRB_LEFT(parent, field) = elm;                                                     \
+            else                                                                                   \
+                IRB_RIGHT(parent, field) = elm;                                                    \
+            IRB_AUGMENT(parent);                                                                   \
+        } else                                                                                     \
+            IRB_ROOT(head) = elm;                                                                  \
+        name##_IRB_INSERT_COLOR(head, elm);                                                        \
+        return (NULL);                                                                             \
+    }
+
+#define IRB_GENERATE_FIND(name, type, field, cmp, attr)                                            \
+    /* Finds the node with the same key as elm */                                                  \
+    attr struct type *name##_IRB_FIND(struct name *head, struct type *elm)                         \
+    {                                                                                              \
+        struct type *tmp = IRB_ROOT(head);                                                         \
+        int comp;                                                                                  \
+        while (tmp) {                                                                              \
+            comp = cmp(elm, tmp);                                                                  \
+            if (comp < 0)                                                                          \
+                tmp = IRB_LEFT(tmp, field);                                                        \
+            else if (comp > 0)                                                                     \
+                tmp = IRB_RIGHT(tmp, field);                                                       \
+            else                                                                                   \
+                return (tmp);                                                                      \
+        }                                                                                          \
+        return (NULL);                                                                             \
+    }
+
+#define IRB_GENERATE_NFIND(name, type, field, cmp, attr)                                           \
+    /* Finds the first node greater than or equal to the search key */                             \
+    attr struct type *name##_IRB_NFIND(struct name *head, struct type *elm)                        \
+    {                                                                                              \
+        struct type *tmp = IRB_ROOT(head);                                                         \
+        struct type *res = NULL;                                                                   \
+        int comp;                                                                                  \
+        while (tmp) {                                                                              \
+            comp = cmp(elm, tmp);                                                                  \
+            if (comp < 0) {                                                                        \
+                res = tmp;                                                                         \
+                tmp = IRB_LEFT(tmp, field);                                                        \
+            } else if (comp > 0)                                                                   \
+                tmp = IRB_RIGHT(tmp, field);                                                       \
+            else                                                                                   \
+                return (tmp);                                                                      \
+        }                                                                                          \
+        return (res);                                                                              \
+    }
+
+#define IRB_GENERATE_NEXT(name, type, field, attr)                                                 \
+    /* ARGSUSED */                                                                                 \
+    attr struct type *name##_IRB_NEXT(struct type *elm)                                            \
+    {                                                                                              \
+        if (IRB_RIGHT(elm, field)) {                                                               \
+            elm = IRB_RIGHT(elm, field);                                                           \
+            while (IRB_LEFT(elm, field))                                                           \
+                elm = IRB_LEFT(elm, field);                                                        \
+        } else {                                                                                   \
+            if (IRB_PARENT(elm, field) && (elm == IRB_LEFT(IRB_PARENT(elm, field), field)))        \
+                elm = IRB_PARENT(elm, field);                                                      \
+            else {                                                                                 \
+                while (IRB_PARENT(elm, field) &&                                                   \
+                        (elm == IRB_RIGHT(IRB_PARENT(elm, field), field)))                         \
+                    elm = IRB_PARENT(elm, field);                                                  \
+                elm = IRB_PARENT(elm, field);                                                      \
+            }                                                                                      \
+        }                                                                                          \
+        return (elm);                                                                              \
+    }
+
+#define IRB_GENERATE_PREV(name, type, field, attr)                                                 \
+    /* ARGSUSED */                                                                                 \
+    attr struct type *name##_IRB_PREV(struct type *elm)                                            \
+    {                                                                                              \
+        if (IRB_LEFT(elm, field)) {                                                                \
+            elm = IRB_LEFT(elm, field);                                                            \
+            while (IRB_RIGHT(elm, field))                                                          \
+                elm = IRB_RIGHT(elm, field);                                                       \
+        } else {                                                                                   \
+            if (IRB_PARENT(elm, field) && (elm == IRB_RIGHT(IRB_PARENT(elm, field), field)))       \
+                elm = IRB_PARENT(elm, field);                                                      \
+            else {                                                                                 \
+                while (IRB_PARENT(elm, field) && (elm == IRB_LEFT(IRB_PARENT(elm, field), field))) \
+                    elm = IRB_PARENT(elm, field);                                                  \
+                elm = IRB_PARENT(elm, field);                                                      \
+            }                                                                                      \
+        }                                                                                          \
+        return (elm);                                                                              \
+    }
+
+#define IRB_GENERATE_MINMAX(name, type, field, attr)                                               \
+    attr struct type *name##_IRB_MINMAX(struct name *head, int val)                                \
+    {                                                                                              \
+        struct type *tmp = IRB_ROOT(head);                                                         \
+        struct type *parent = NULL;                                                                \
+        while (tmp) {                                                                              \
+            parent = tmp;                                                                          \
+            if (val < 0)                                                                           \
+                tmp = IRB_LEFT(tmp, field);                                                        \
+            else                                                                                   \
+                tmp = IRB_RIGHT(tmp, field);                                                       \
+        }                                                                                          \
+        return (parent);                                                                           \
+    }
+
+#define IRB_NEGINF -1
+#define IRB_INF    1
+
+#define IRB_INSERT(name, x, y) name##_IRB_INSERT(x, y)
+#define IRB_REMOVE(name, x, y) name##_IRB_REMOVE(x, y)
+#define IRB_FIND(name, x, y)   name##_IRB_FIND(x, y)
+#define IRB_NFIND(name, x, y)  name##_IRB_NFIND(x, y)
+#define IRB_NEXT(name, x, y)   name##_IRB_NEXT(y)
+#define IRB_PREV(name, x, y)   name##_IRB_PREV(y)
+#define IRB_MIN(name, x)       name##_IRB_MINMAX(x, IRB_NEGINF)
+#define IRB_MAX(name, x)       name##_IRB_MINMAX(x, IRB_INF)
+
+#define IRB_FOREACH(x, name, head)                                                                 \
+    for ((x) = IRB_MIN(name, head); (x) != NULL; (x) = name##_IRB_NEXT(x))
+
+#define IRB_FOREACH_FROM(x, name, y)                                                               \
+    for ((x) = (y); ((x) != NULL) && ((y) = name##_IRB_NEXT(x), (x) != NULL); (x) = (y))
+
+#define IRB_FOREACH_SAFE(x, name, head, y)                                                         \
+    for ((x) = IRB_MIN(name, head); ((x) != NULL) && ((y) = name##_IRB_NEXT(x), (x) != NULL);      \
+            (x) = (y))
+
+#define IRB_FOREACH_REVERSE(x, name, head)                                                         \
+    for ((x) = IRB_MAX(name, head); (x) != NULL; (x) = name##_IRB_PREV(x))
+
+#define IRB_FOREACH_REVERSE_FROM(x, name, y)                                                       \
+    for ((x) = (y); ((x) != NULL) && ((y) = name##_IRB_PREV(x), (x) != NULL); (x) = (y))
+
+#define IRB_FOREACH_REVERSE_SAFE(x, name, head, y)                                                 \
+    for ((x) = IRB_MAX(name, head); ((x) != NULL) && ((y) = name##_IRB_PREV(x), (x) != NULL);      \
+            (x) = (y))
+
+#endif /* _SYS_INTERVALTREE_H_ */