Index: third_party/bsdtrees/tree.h |
diff --git a/third_party/bsdtrees/tree.h b/third_party/bsdtrees/tree.h |
new file mode 100644 |
index 0000000000000000000000000000000000000000..818adf0abf231a2f9dcd77613147fea322d12c9b |
--- /dev/null |
+++ b/third_party/bsdtrees/tree.h |
@@ -0,0 +1,748 @@ |
+/* $OpenBSD: tree.h,v 1.13 2011/07/09 00:19:45 pirofti 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. |
+ * |
+ * 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_TREE_H_ |
+#define _SYS_TREE_H_ |
+ |
+/* |
+ * This file defines data structures for different types of trees: |
+ * splay trees and red-black trees. |
+ * |
+ * A splay tree is a self-organizing 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 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 (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 (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 (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 (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 (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 (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))) { \ |
+ 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 RB_HEAD(name, type) \ |
+struct name { \ |
+ struct type *rbh_root; /* root of the tree */ \ |
+} |
+ |
+#define RB_INITIALIZER(root) \ |
+ { NULL } |
+ |
+#define RB_INIT(root) do { \ |
+ (root)->rbh_root = NULL; \ |
+} while (0) |
+ |
+#define RB_BLACK 0 |
+#define RB_RED 1 |
+#define RB_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 RB_LEFT(elm, field) (elm)->field.rbe_left |
+#define RB_RIGHT(elm, field) (elm)->field.rbe_right |
+#define RB_PARENT(elm, field) (elm)->field.rbe_parent |
+#define RB_COLOR(elm, field) (elm)->field.rbe_color |
+#define RB_ROOT(head) (head)->rbh_root |
+#define RB_EMPTY(head) (RB_ROOT(head) == NULL) |
+ |
+#define RB_SET(elm, parent, field) do { \ |
+ RB_PARENT(elm, field) = parent; \ |
+ RB_LEFT(elm, field) = RB_RIGHT(elm, field) = NULL; \ |
+ RB_COLOR(elm, field) = RB_RED; \ |
+} while (0) |
+ |
+#define RB_SET_BLACKRED(black, red, field) do { \ |
+ RB_COLOR(black, field) = RB_BLACK; \ |
+ RB_COLOR(red, field) = RB_RED; \ |
+} while (0) |
+ |
+#ifndef RB_AUGMENT |
+#define RB_AUGMENT(x) do {} while (0) |
+#endif |
+ |
+#define RB_ROTATE_LEFT(head, elm, tmp, field) do { \ |
+ (tmp) = RB_RIGHT(elm, field); \ |
+ if ((RB_RIGHT(elm, field) = RB_LEFT(tmp, field))) { \ |
+ RB_PARENT(RB_LEFT(tmp, field), field) = (elm); \ |
+ } \ |
+ RB_AUGMENT(elm); \ |
+ if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) { \ |
+ if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \ |
+ RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \ |
+ else \ |
+ RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \ |
+ } else \ |
+ (head)->rbh_root = (tmp); \ |
+ RB_LEFT(tmp, field) = (elm); \ |
+ RB_PARENT(elm, field) = (tmp); \ |
+ RB_AUGMENT(tmp); \ |
+ if ((RB_PARENT(tmp, field))) \ |
+ RB_AUGMENT(RB_PARENT(tmp, field)); \ |
+} while (0) |
+ |
+#define RB_ROTATE_RIGHT(head, elm, tmp, field) do { \ |
+ (tmp) = RB_LEFT(elm, field); \ |
+ if ((RB_LEFT(elm, field) = RB_RIGHT(tmp, field))) { \ |
+ RB_PARENT(RB_RIGHT(tmp, field), field) = (elm); \ |
+ } \ |
+ RB_AUGMENT(elm); \ |
+ if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) { \ |
+ if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \ |
+ RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \ |
+ else \ |
+ RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \ |
+ } else \ |
+ (head)->rbh_root = (tmp); \ |
+ RB_RIGHT(tmp, field) = (elm); \ |
+ RB_PARENT(elm, field) = (tmp); \ |
+ RB_AUGMENT(tmp); \ |
+ if ((RB_PARENT(tmp, field))) \ |
+ RB_AUGMENT(RB_PARENT(tmp, field)); \ |
+} while (0) |
+ |
+/* Generates prototypes and inline functions */ |
+#define RB_PROTOTYPE(name, type, field, cmp) \ |
+ RB_PROTOTYPE_INTERNAL(name, type, field, cmp,) |
+#define RB_PROTOTYPE_STATIC(name, type, field, cmp) \ |
+ RB_PROTOTYPE_INTERNAL(name, type, field, cmp, __attribute__((__unused__)) static) |
+#define RB_PROTOTYPE_INTERNAL(name, type, field, cmp, attr) \ |
+attr void name##_RB_INSERT_COLOR(struct name *, struct type *); \ |
+attr void name##_RB_REMOVE_COLOR(struct name *, struct type *, struct type *);\ |
+attr struct type *name##_RB_REMOVE(struct name *, struct type *); \ |
+attr struct type *name##_RB_INSERT(struct name *, struct type *); \ |
+attr struct type *name##_RB_FIND(struct name *, struct type *); \ |
+attr struct type *name##_RB_NFIND(struct name *, struct type *); \ |
+attr struct type *name##_RB_NEXT(struct type *); \ |
+attr struct type *name##_RB_PREV(struct type *); \ |
+attr struct type *name##_RB_MINMAX(struct name *, int); \ |
+ \ |
+ |
+/* Main rb operation. |
+ * Moves node close to the key of elm to top |
+ */ |
+#define RB_GENERATE(name, type, field, cmp) \ |
+ RB_GENERATE_INTERNAL(name, type, field, cmp,) |
+#define RB_GENERATE_STATIC(name, type, field, cmp) \ |
+ RB_GENERATE_INTERNAL(name, type, field, cmp, __attribute__((__unused__)) static) |
+#define RB_GENERATE_INTERNAL(name, type, field, cmp, attr) \ |
+attr void \ |
+name##_RB_INSERT_COLOR(struct name *head, struct type *elm) \ |
+{ \ |
+ struct type *parent, *gparent, *tmp; \ |
+ while ((parent = RB_PARENT(elm, field)) && \ |
+ RB_COLOR(parent, field) == RB_RED) { \ |
+ gparent = RB_PARENT(parent, field); \ |
+ if (parent == RB_LEFT(gparent, field)) { \ |
+ tmp = RB_RIGHT(gparent, field); \ |
+ if (tmp && RB_COLOR(tmp, field) == RB_RED) { \ |
+ RB_COLOR(tmp, field) = RB_BLACK; \ |
+ RB_SET_BLACKRED(parent, gparent, field);\ |
+ elm = gparent; \ |
+ continue; \ |
+ } \ |
+ if (RB_RIGHT(parent, field) == elm) { \ |
+ RB_ROTATE_LEFT(head, parent, tmp, field);\ |
+ tmp = parent; \ |
+ parent = elm; \ |
+ elm = tmp; \ |
+ } \ |
+ RB_SET_BLACKRED(parent, gparent, field); \ |
+ RB_ROTATE_RIGHT(head, gparent, tmp, field); \ |
+ } else { \ |
+ tmp = RB_LEFT(gparent, field); \ |
+ if (tmp && RB_COLOR(tmp, field) == RB_RED) { \ |
+ RB_COLOR(tmp, field) = RB_BLACK; \ |
+ RB_SET_BLACKRED(parent, gparent, field);\ |
+ elm = gparent; \ |
+ continue; \ |
+ } \ |
+ if (RB_LEFT(parent, field) == elm) { \ |
+ RB_ROTATE_RIGHT(head, parent, tmp, field);\ |
+ tmp = parent; \ |
+ parent = elm; \ |
+ elm = tmp; \ |
+ } \ |
+ RB_SET_BLACKRED(parent, gparent, field); \ |
+ RB_ROTATE_LEFT(head, gparent, tmp, field); \ |
+ } \ |
+ } \ |
+ RB_COLOR(head->rbh_root, field) = RB_BLACK; \ |
+} \ |
+ \ |
+attr void \ |
+name##_RB_REMOVE_COLOR(struct name *head, struct type *parent, struct type *elm) \ |
+{ \ |
+ struct type *tmp; \ |
+ while ((elm == NULL || RB_COLOR(elm, field) == RB_BLACK) && \ |
+ elm != RB_ROOT(head)) { \ |
+ if (RB_LEFT(parent, field) == elm) { \ |
+ tmp = RB_RIGHT(parent, field); \ |
+ if (RB_COLOR(tmp, field) == RB_RED) { \ |
+ RB_SET_BLACKRED(tmp, parent, field); \ |
+ RB_ROTATE_LEFT(head, parent, tmp, field);\ |
+ tmp = RB_RIGHT(parent, field); \ |
+ } \ |
+ if ((RB_LEFT(tmp, field) == NULL || \ |
+ RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\ |
+ (RB_RIGHT(tmp, field) == NULL || \ |
+ RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\ |
+ RB_COLOR(tmp, field) = RB_RED; \ |
+ elm = parent; \ |
+ parent = RB_PARENT(elm, field); \ |
+ } else { \ |
+ if (RB_RIGHT(tmp, field) == NULL || \ |
+ RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK) {\ |
+ struct type *oleft; \ |
+ if ((oleft = RB_LEFT(tmp, field)))\ |
+ RB_COLOR(oleft, field) = RB_BLACK;\ |
+ RB_COLOR(tmp, field) = RB_RED; \ |
+ RB_ROTATE_RIGHT(head, tmp, oleft, field);\ |
+ tmp = RB_RIGHT(parent, field); \ |
+ } \ |
+ RB_COLOR(tmp, field) = RB_COLOR(parent, field);\ |
+ RB_COLOR(parent, field) = RB_BLACK; \ |
+ if (RB_RIGHT(tmp, field)) \ |
+ RB_COLOR(RB_RIGHT(tmp, field), field) = RB_BLACK;\ |
+ RB_ROTATE_LEFT(head, parent, tmp, field);\ |
+ elm = RB_ROOT(head); \ |
+ break; \ |
+ } \ |
+ } else { \ |
+ tmp = RB_LEFT(parent, field); \ |
+ if (RB_COLOR(tmp, field) == RB_RED) { \ |
+ RB_SET_BLACKRED(tmp, parent, field); \ |
+ RB_ROTATE_RIGHT(head, parent, tmp, field);\ |
+ tmp = RB_LEFT(parent, field); \ |
+ } \ |
+ if ((RB_LEFT(tmp, field) == NULL || \ |
+ RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\ |
+ (RB_RIGHT(tmp, field) == NULL || \ |
+ RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\ |
+ RB_COLOR(tmp, field) = RB_RED; \ |
+ elm = parent; \ |
+ parent = RB_PARENT(elm, field); \ |
+ } else { \ |
+ if (RB_LEFT(tmp, field) == NULL || \ |
+ RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) {\ |
+ struct type *oright; \ |
+ if ((oright = RB_RIGHT(tmp, field)))\ |
+ RB_COLOR(oright, field) = RB_BLACK;\ |
+ RB_COLOR(tmp, field) = RB_RED; \ |
+ RB_ROTATE_LEFT(head, tmp, oright, field);\ |
+ tmp = RB_LEFT(parent, field); \ |
+ } \ |
+ RB_COLOR(tmp, field) = RB_COLOR(parent, field);\ |
+ RB_COLOR(parent, field) = RB_BLACK; \ |
+ if (RB_LEFT(tmp, field)) \ |
+ RB_COLOR(RB_LEFT(tmp, field), field) = RB_BLACK;\ |
+ RB_ROTATE_RIGHT(head, parent, tmp, field);\ |
+ elm = RB_ROOT(head); \ |
+ break; \ |
+ } \ |
+ } \ |
+ } \ |
+ if (elm) \ |
+ RB_COLOR(elm, field) = RB_BLACK; \ |
+} \ |
+ \ |
+attr struct type * \ |
+name##_RB_REMOVE(struct name *head, struct type *elm) \ |
+{ \ |
+ struct type *child, *parent, *old = elm; \ |
+ int color; \ |
+ if (RB_LEFT(elm, field) == NULL) \ |
+ child = RB_RIGHT(elm, field); \ |
+ else if (RB_RIGHT(elm, field) == NULL) \ |
+ child = RB_LEFT(elm, field); \ |
+ else { \ |
+ struct type *left; \ |
+ elm = RB_RIGHT(elm, field); \ |
+ while ((left = RB_LEFT(elm, field))) \ |
+ elm = left; \ |
+ child = RB_RIGHT(elm, field); \ |
+ parent = RB_PARENT(elm, field); \ |
+ color = RB_COLOR(elm, field); \ |
+ if (child) \ |
+ RB_PARENT(child, field) = parent; \ |
+ if (parent) { \ |
+ if (RB_LEFT(parent, field) == elm) \ |
+ RB_LEFT(parent, field) = child; \ |
+ else \ |
+ RB_RIGHT(parent, field) = child; \ |
+ RB_AUGMENT(parent); \ |
+ } else \ |
+ RB_ROOT(head) = child; \ |
+ if (RB_PARENT(elm, field) == old) \ |
+ parent = elm; \ |
+ (elm)->field = (old)->field; \ |
+ if (RB_PARENT(old, field)) { \ |
+ if (RB_LEFT(RB_PARENT(old, field), field) == old)\ |
+ RB_LEFT(RB_PARENT(old, field), field) = elm;\ |
+ else \ |
+ RB_RIGHT(RB_PARENT(old, field), field) = elm;\ |
+ RB_AUGMENT(RB_PARENT(old, field)); \ |
+ } else \ |
+ RB_ROOT(head) = elm; \ |
+ RB_PARENT(RB_LEFT(old, field), field) = elm; \ |
+ if (RB_RIGHT(old, field)) \ |
+ RB_PARENT(RB_RIGHT(old, field), field) = elm; \ |
+ if (parent) { \ |
+ left = parent; \ |
+ do { \ |
+ RB_AUGMENT(left); \ |
+ } while ((left = RB_PARENT(left, field))); \ |
+ } \ |
+ goto color; \ |
+ } \ |
+ parent = RB_PARENT(elm, field); \ |
+ color = RB_COLOR(elm, field); \ |
+ if (child) \ |
+ RB_PARENT(child, field) = parent; \ |
+ if (parent) { \ |
+ if (RB_LEFT(parent, field) == elm) \ |
+ RB_LEFT(parent, field) = child; \ |
+ else \ |
+ RB_RIGHT(parent, field) = child; \ |
+ RB_AUGMENT(parent); \ |
+ } else \ |
+ RB_ROOT(head) = child; \ |
+color: \ |
+ if (color == RB_BLACK) \ |
+ name##_RB_REMOVE_COLOR(head, parent, child); \ |
+ return (old); \ |
+} \ |
+ \ |
+/* Inserts a node into the RB tree */ \ |
+attr struct type * \ |
+name##_RB_INSERT(struct name *head, struct type *elm) \ |
+{ \ |
+ struct type *tmp; \ |
+ struct type *parent = NULL; \ |
+ int comp = 0; \ |
+ tmp = RB_ROOT(head); \ |
+ while (tmp) { \ |
+ parent = tmp; \ |
+ comp = (cmp)(elm, parent); \ |
+ if (comp < 0) \ |
+ tmp = RB_LEFT(tmp, field); \ |
+ else if (comp > 0) \ |
+ tmp = RB_RIGHT(tmp, field); \ |
+ else \ |
+ return (tmp); \ |
+ } \ |
+ RB_SET(elm, parent, field); \ |
+ if (parent != NULL) { \ |
+ if (comp < 0) \ |
+ RB_LEFT(parent, field) = elm; \ |
+ else \ |
+ RB_RIGHT(parent, field) = elm; \ |
+ RB_AUGMENT(parent); \ |
+ } else \ |
+ RB_ROOT(head) = elm; \ |
+ name##_RB_INSERT_COLOR(head, elm); \ |
+ return (NULL); \ |
+} \ |
+ \ |
+/* Finds the node with the same key as elm */ \ |
+attr struct type * \ |
+name##_RB_FIND(struct name *head, struct type *elm) \ |
+{ \ |
+ struct type *tmp = RB_ROOT(head); \ |
+ int comp; \ |
+ while (tmp) { \ |
+ comp = cmp(elm, tmp); \ |
+ if (comp < 0) \ |
+ tmp = RB_LEFT(tmp, field); \ |
+ else if (comp > 0) \ |
+ tmp = RB_RIGHT(tmp, field); \ |
+ else \ |
+ return (tmp); \ |
+ } \ |
+ return (NULL); \ |
+} \ |
+ \ |
+/* Finds the first node greater than or equal to the search key */ \ |
+attr struct type * \ |
+name##_RB_NFIND(struct name *head, struct type *elm) \ |
+{ \ |
+ struct type *tmp = RB_ROOT(head); \ |
+ struct type *res = NULL; \ |
+ int comp; \ |
+ while (tmp) { \ |
+ comp = cmp(elm, tmp); \ |
+ if (comp < 0) { \ |
+ res = tmp; \ |
+ tmp = RB_LEFT(tmp, field); \ |
+ } \ |
+ else if (comp > 0) \ |
+ tmp = RB_RIGHT(tmp, field); \ |
+ else \ |
+ return (tmp); \ |
+ } \ |
+ return (res); \ |
+} \ |
+ \ |
+/* ARGSUSED */ \ |
+attr struct type * \ |
+name##_RB_NEXT(struct type *elm) \ |
+{ \ |
+ if (RB_RIGHT(elm, field)) { \ |
+ elm = RB_RIGHT(elm, field); \ |
+ while (RB_LEFT(elm, field)) \ |
+ elm = RB_LEFT(elm, field); \ |
+ } else { \ |
+ if (RB_PARENT(elm, field) && \ |
+ (elm == RB_LEFT(RB_PARENT(elm, field), field))) \ |
+ elm = RB_PARENT(elm, field); \ |
+ else { \ |
+ while (RB_PARENT(elm, field) && \ |
+ (elm == RB_RIGHT(RB_PARENT(elm, field), field)))\ |
+ elm = RB_PARENT(elm, field); \ |
+ elm = RB_PARENT(elm, field); \ |
+ } \ |
+ } \ |
+ return (elm); \ |
+} \ |
+ \ |
+/* ARGSUSED */ \ |
+attr struct type * \ |
+name##_RB_PREV(struct type *elm) \ |
+{ \ |
+ if (RB_LEFT(elm, field)) { \ |
+ elm = RB_LEFT(elm, field); \ |
+ while (RB_RIGHT(elm, field)) \ |
+ elm = RB_RIGHT(elm, field); \ |
+ } else { \ |
+ if (RB_PARENT(elm, field) && \ |
+ (elm == RB_RIGHT(RB_PARENT(elm, field), field))) \ |
+ elm = RB_PARENT(elm, field); \ |
+ else { \ |
+ while (RB_PARENT(elm, field) && \ |
+ (elm == RB_LEFT(RB_PARENT(elm, field), field)))\ |
+ elm = RB_PARENT(elm, field); \ |
+ elm = RB_PARENT(elm, field); \ |
+ } \ |
+ } \ |
+ return (elm); \ |
+} \ |
+ \ |
+attr struct type * \ |
+name##_RB_MINMAX(struct name *head, int val) \ |
+{ \ |
+ struct type *tmp = RB_ROOT(head); \ |
+ struct type *parent = NULL; \ |
+ while (tmp) { \ |
+ parent = tmp; \ |
+ if (val < 0) \ |
+ tmp = RB_LEFT(tmp, field); \ |
+ else \ |
+ tmp = RB_RIGHT(tmp, field); \ |
+ } \ |
+ return (parent); \ |
+} |
+ |
+#define RB_NEGINF -1 |
+#define RB_INF 1 |
+ |
+#define RB_INSERT(name, x, y) name##_RB_INSERT(x, y) |
+#define RB_REMOVE(name, x, y) name##_RB_REMOVE(x, y) |
+#define RB_FIND(name, x, y) name##_RB_FIND(x, y) |
+#define RB_NFIND(name, x, y) name##_RB_NFIND(x, y) |
+#define RB_NEXT(name, x, y) name##_RB_NEXT(y) |
+#define RB_PREV(name, x, y) name##_RB_PREV(y) |
+#define RB_MIN(name, x) name##_RB_MINMAX(x, RB_NEGINF) |
+#define RB_MAX(name, x) name##_RB_MINMAX(x, RB_INF) |
+ |
+#define RB_FOREACH(x, name, head) \ |
+ for ((x) = RB_MIN(name, head); \ |
+ (x) != NULL; \ |
+ (x) = name##_RB_NEXT(x)) |
+ |
+#define RB_FOREACH_SAFE(x, name, head, y) \ |
+ for ((x) = RB_MIN(name, head); \ |
+ ((x) != NULL) && ((y) = name##_RB_NEXT(x), 1); \ |
+ (x) = (y)) |
+ |
+#define RB_FOREACH_REVERSE(x, name, head) \ |
+ for ((x) = RB_MAX(name, head); \ |
+ (x) != NULL; \ |
+ (x) = name##_RB_PREV(x)) |
+ |
+#define RB_FOREACH_REVERSE_SAFE(x, name, head, y) \ |
+ for ((x) = RB_MAX(name, head); \ |
+ ((x) != NULL) && ((y) = name##_RB_PREV(x), 1); \ |
+ (x) = (y)) |
+ |
+#endif /* _SYS_TREE_H_ */ |