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  • Committer: Bazaar Package Importer
  • Author(s): Anibal Monsalve Salazar
  • Date: 2009-05-15 20:11:06 UTC
  • mfrom: (1.3.1 upstream) (5.2.1 sid)
  • Revision ID: james.westby@ubuntu.com-20090515201106-auauq7m2l4sej5n9
Tags: 1.4.11-stable-1
* New upstream release 
  - Fix a bug when removing a timeout from the heap
  - Remove the limit on size of HTTP headers by removing static buffers
  - Fix a nasty dangling pointer bug in epoll.c that could occur after
    epoll_recalc() 

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1
 
/*      $OpenBSD: tree.h,v 1.7 2002/10/17 21:51:54 art Exp $    */
2
 
/*
3
 
 * Copyright 2002 Niels Provos <provos@citi.umich.edu>
4
 
 * All rights reserved.
5
 
 *
6
 
 * Redistribution and use in source and binary forms, with or without
7
 
 * modification, are permitted provided that the following conditions
8
 
 * are met:
9
 
 * 1. Redistributions of source code must retain the above copyright
10
 
 *    notice, this list of conditions and the following disclaimer.
11
 
 * 2. Redistributions in binary form must reproduce the above copyright
12
 
 *    notice, this list of conditions and the following disclaimer in the
13
 
 *    documentation and/or other materials provided with the distribution.
14
 
 *
15
 
 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
16
 
 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
17
 
 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
18
 
 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
19
 
 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
20
 
 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
21
 
 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
22
 
 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
23
 
 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
24
 
 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
25
 
 */
26
 
 
27
 
#ifndef _SYS_TREE_H_
28
 
#define _SYS_TREE_H_
29
 
 
30
 
/*
31
 
 * This file defines data structures for different types of trees:
32
 
 * splay trees and red-black trees.
33
 
 *
34
 
 * A splay tree is a self-organizing data structure.  Every operation
35
 
 * on the tree causes a splay to happen.  The splay moves the requested
36
 
 * node to the root of the tree and partly rebalances it.
37
 
 *
38
 
 * This has the benefit that request locality causes faster lookups as
39
 
 * the requested nodes move to the top of the tree.  On the other hand,
40
 
 * every lookup causes memory writes.
41
 
 *
42
 
 * The Balance Theorem bounds the total access time for m operations
43
 
 * and n inserts on an initially empty tree as O((m + n)lg n).  The
44
 
 * amortized cost for a sequence of m accesses to a splay tree is O(lg n);
45
 
 *
46
 
 * A red-black tree is a binary search tree with the node color as an
47
 
 * extra attribute.  It fulfills a set of conditions:
48
 
 *      - every search path from the root to a leaf consists of the
49
 
 *        same number of black nodes,
50
 
 *      - each red node (except for the root) has a black parent,
51
 
 *      - each leaf node is black.
52
 
 *
53
 
 * Every operation on a red-black tree is bounded as O(lg n).
54
 
 * The maximum height of a red-black tree is 2lg (n+1).
55
 
 */
56
 
 
57
 
#define SPLAY_HEAD(name, type)                                          \
58
 
struct name {                                                           \
59
 
        struct type *sph_root; /* root of the tree */                   \
60
 
}
61
 
 
62
 
#define SPLAY_INITIALIZER(root)                                         \
63
 
        { NULL }
64
 
 
65
 
#define SPLAY_INIT(root) do {                                           \
66
 
        (root)->sph_root = NULL;                                        \
67
 
} while (0)
68
 
 
69
 
#define SPLAY_ENTRY(type)                                               \
70
 
struct {                                                                \
71
 
        struct type *spe_left; /* left element */                       \
72
 
        struct type *spe_right; /* right element */                     \
73
 
}
74
 
 
75
 
#define SPLAY_LEFT(elm, field)          (elm)->field.spe_left
76
 
#define SPLAY_RIGHT(elm, field)         (elm)->field.spe_right
77
 
#define SPLAY_ROOT(head)                (head)->sph_root
78
 
#define SPLAY_EMPTY(head)               (SPLAY_ROOT(head) == NULL)
79
 
 
80
 
/* SPLAY_ROTATE_{LEFT,RIGHT} expect that tmp hold SPLAY_{RIGHT,LEFT} */
81
 
#define SPLAY_ROTATE_RIGHT(head, tmp, field) do {                       \
82
 
        SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(tmp, field);  \
83
 
        SPLAY_RIGHT(tmp, field) = (head)->sph_root;                     \
84
 
        (head)->sph_root = tmp;                                         \
85
 
} while (0)
86
 
        
87
 
#define SPLAY_ROTATE_LEFT(head, tmp, field) do {                        \
88
 
        SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(tmp, field);  \
89
 
        SPLAY_LEFT(tmp, field) = (head)->sph_root;                      \
90
 
        (head)->sph_root = tmp;                                         \
91
 
} while (0)
92
 
 
93
 
#define SPLAY_LINKLEFT(head, tmp, field) do {                           \
94
 
        SPLAY_LEFT(tmp, field) = (head)->sph_root;                      \
95
 
        tmp = (head)->sph_root;                                         \
96
 
        (head)->sph_root = SPLAY_LEFT((head)->sph_root, field);         \
97
 
} while (0)
98
 
 
99
 
#define SPLAY_LINKRIGHT(head, tmp, field) do {                          \
100
 
        SPLAY_RIGHT(tmp, field) = (head)->sph_root;                     \
101
 
        tmp = (head)->sph_root;                                         \
102
 
        (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field);        \
103
 
} while (0)
104
 
 
105
 
#define SPLAY_ASSEMBLE(head, node, left, right, field) do {             \
106
 
        SPLAY_RIGHT(left, field) = SPLAY_LEFT((head)->sph_root, field); \
107
 
        SPLAY_LEFT(right, field) = SPLAY_RIGHT((head)->sph_root, field);\
108
 
        SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(node, field); \
109
 
        SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(node, field); \
110
 
} while (0)
111
 
 
112
 
/* Generates prototypes and inline functions */
113
 
 
114
 
#define SPLAY_PROTOTYPE(name, type, field, cmp)                         \
115
 
void name##_SPLAY(struct name *, struct type *);                        \
116
 
void name##_SPLAY_MINMAX(struct name *, int);                           \
117
 
struct type *name##_SPLAY_INSERT(struct name *, struct type *);         \
118
 
struct type *name##_SPLAY_REMOVE(struct name *, struct type *);         \
119
 
                                                                        \
120
 
/* Finds the node with the same key as elm */                           \
121
 
static __inline struct type *                                           \
122
 
name##_SPLAY_FIND(struct name *head, struct type *elm)                  \
123
 
{                                                                       \
124
 
        if (SPLAY_EMPTY(head))                                          \
125
 
                return(NULL);                                           \
126
 
        name##_SPLAY(head, elm);                                        \
127
 
        if ((cmp)(elm, (head)->sph_root) == 0)                          \
128
 
                return (head->sph_root);                                \
129
 
        return (NULL);                                                  \
130
 
}                                                                       \
131
 
                                                                        \
132
 
static __inline struct type *                                           \
133
 
name##_SPLAY_NEXT(struct name *head, struct type *elm)                  \
134
 
{                                                                       \
135
 
        name##_SPLAY(head, elm);                                        \
136
 
        if (SPLAY_RIGHT(elm, field) != NULL) {                          \
137
 
                elm = SPLAY_RIGHT(elm, field);                          \
138
 
                while (SPLAY_LEFT(elm, field) != NULL) {                \
139
 
                        elm = SPLAY_LEFT(elm, field);                   \
140
 
                }                                                       \
141
 
        } else                                                          \
142
 
                elm = NULL;                                             \
143
 
        return (elm);                                                   \
144
 
}                                                                       \
145
 
                                                                        \
146
 
static __inline struct type *                                           \
147
 
name##_SPLAY_MIN_MAX(struct name *head, int val)                        \
148
 
{                                                                       \
149
 
        name##_SPLAY_MINMAX(head, val);                                 \
150
 
        return (SPLAY_ROOT(head));                                      \
151
 
}
152
 
 
153
 
/* Main splay operation.
154
 
 * Moves node close to the key of elm to top
155
 
 */
156
 
#define SPLAY_GENERATE(name, type, field, cmp)                          \
157
 
struct type *                                                           \
158
 
name##_SPLAY_INSERT(struct name *head, struct type *elm)                \
159
 
{                                                                       \
160
 
    if (SPLAY_EMPTY(head)) {                                            \
161
 
            SPLAY_LEFT(elm, field) = SPLAY_RIGHT(elm, field) = NULL;    \
162
 
    } else {                                                            \
163
 
            int __comp;                                                 \
164
 
            name##_SPLAY(head, elm);                                    \
165
 
            __comp = (cmp)(elm, (head)->sph_root);                      \
166
 
            if(__comp < 0) {                                            \
167
 
                    SPLAY_LEFT(elm, field) = SPLAY_LEFT((head)->sph_root, field);\
168
 
                    SPLAY_RIGHT(elm, field) = (head)->sph_root;         \
169
 
                    SPLAY_LEFT((head)->sph_root, field) = NULL;         \
170
 
            } else if (__comp > 0) {                                    \
171
 
                    SPLAY_RIGHT(elm, field) = SPLAY_RIGHT((head)->sph_root, field);\
172
 
                    SPLAY_LEFT(elm, field) = (head)->sph_root;          \
173
 
                    SPLAY_RIGHT((head)->sph_root, field) = NULL;        \
174
 
            } else                                                      \
175
 
                    return ((head)->sph_root);                          \
176
 
    }                                                                   \
177
 
    (head)->sph_root = (elm);                                           \
178
 
    return (NULL);                                                      \
179
 
}                                                                       \
180
 
                                                                        \
181
 
struct type *                                                           \
182
 
name##_SPLAY_REMOVE(struct name *head, struct type *elm)                \
183
 
{                                                                       \
184
 
        struct type *__tmp;                                             \
185
 
        if (SPLAY_EMPTY(head))                                          \
186
 
                return (NULL);                                          \
187
 
        name##_SPLAY(head, elm);                                        \
188
 
        if ((cmp)(elm, (head)->sph_root) == 0) {                        \
189
 
                if (SPLAY_LEFT((head)->sph_root, field) == NULL) {      \
190
 
                        (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field);\
191
 
                } else {                                                \
192
 
                        __tmp = SPLAY_RIGHT((head)->sph_root, field);   \
193
 
                        (head)->sph_root = SPLAY_LEFT((head)->sph_root, field);\
194
 
                        name##_SPLAY(head, elm);                        \
195
 
                        SPLAY_RIGHT((head)->sph_root, field) = __tmp;   \
196
 
                }                                                       \
197
 
                return (elm);                                           \
198
 
        }                                                               \
199
 
        return (NULL);                                                  \
200
 
}                                                                       \
201
 
                                                                        \
202
 
void                                                                    \
203
 
name##_SPLAY(struct name *head, struct type *elm)                       \
204
 
{                                                                       \
205
 
        struct type __node, *__left, *__right, *__tmp;                  \
206
 
        int __comp;                                                     \
207
 
\
208
 
        SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\
209
 
        __left = __right = &__node;                                     \
210
 
\
211
 
        while ((__comp = (cmp)(elm, (head)->sph_root))) {               \
212
 
                if (__comp < 0) {                                       \
213
 
                        __tmp = SPLAY_LEFT((head)->sph_root, field);    \
214
 
                        if (__tmp == NULL)                              \
215
 
                                break;                                  \
216
 
                        if ((cmp)(elm, __tmp) < 0){                     \
217
 
                                SPLAY_ROTATE_RIGHT(head, __tmp, field); \
218
 
                                if (SPLAY_LEFT((head)->sph_root, field) == NULL)\
219
 
                                        break;                          \
220
 
                        }                                               \
221
 
                        SPLAY_LINKLEFT(head, __right, field);           \
222
 
                } else if (__comp > 0) {                                \
223
 
                        __tmp = SPLAY_RIGHT((head)->sph_root, field);   \
224
 
                        if (__tmp == NULL)                              \
225
 
                                break;                                  \
226
 
                        if ((cmp)(elm, __tmp) > 0){                     \
227
 
                                SPLAY_ROTATE_LEFT(head, __tmp, field);  \
228
 
                                if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\
229
 
                                        break;                          \
230
 
                        }                                               \
231
 
                        SPLAY_LINKRIGHT(head, __left, field);           \
232
 
                }                                                       \
233
 
        }                                                               \
234
 
        SPLAY_ASSEMBLE(head, &__node, __left, __right, field);          \
235
 
}                                                                       \
236
 
                                                                        \
237
 
/* Splay with either the minimum or the maximum element                 \
238
 
 * Used to find minimum or maximum element in tree.                     \
239
 
 */                                                                     \
240
 
void name##_SPLAY_MINMAX(struct name *head, int __comp) \
241
 
{                                                                       \
242
 
        struct type __node, *__left, *__right, *__tmp;                  \
243
 
\
244
 
        SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL;\
245
 
        __left = __right = &__node;                                     \
246
 
\
247
 
        while (1) {                                                     \
248
 
                if (__comp < 0) {                                       \
249
 
                        __tmp = SPLAY_LEFT((head)->sph_root, field);    \
250
 
                        if (__tmp == NULL)                              \
251
 
                                break;                                  \
252
 
                        if (__comp < 0){                                \
253
 
                                SPLAY_ROTATE_RIGHT(head, __tmp, field); \
254
 
                                if (SPLAY_LEFT((head)->sph_root, field) == NULL)\
255
 
                                        break;                          \
256
 
                        }                                               \
257
 
                        SPLAY_LINKLEFT(head, __right, field);           \
258
 
                } else if (__comp > 0) {                                \
259
 
                        __tmp = SPLAY_RIGHT((head)->sph_root, field);   \
260
 
                        if (__tmp == NULL)                              \
261
 
                                break;                                  \
262
 
                        if (__comp > 0) {                               \
263
 
                                SPLAY_ROTATE_LEFT(head, __tmp, field);  \
264
 
                                if (SPLAY_RIGHT((head)->sph_root, field) == NULL)\
265
 
                                        break;                          \
266
 
                        }                                               \
267
 
                        SPLAY_LINKRIGHT(head, __left, field);           \
268
 
                }                                                       \
269
 
        }                                                               \
270
 
        SPLAY_ASSEMBLE(head, &__node, __left, __right, field);          \
271
 
}
272
 
 
273
 
#define SPLAY_NEGINF    -1
274
 
#define SPLAY_INF       1
275
 
 
276
 
#define SPLAY_INSERT(name, x, y)        name##_SPLAY_INSERT(x, y)
277
 
#define SPLAY_REMOVE(name, x, y)        name##_SPLAY_REMOVE(x, y)
278
 
#define SPLAY_FIND(name, x, y)          name##_SPLAY_FIND(x, y)
279
 
#define SPLAY_NEXT(name, x, y)          name##_SPLAY_NEXT(x, y)
280
 
#define SPLAY_MIN(name, x)              (SPLAY_EMPTY(x) ? NULL  \
281
 
                                        : name##_SPLAY_MIN_MAX(x, SPLAY_NEGINF))
282
 
#define SPLAY_MAX(name, x)              (SPLAY_EMPTY(x) ? NULL  \
283
 
                                        : name##_SPLAY_MIN_MAX(x, SPLAY_INF))
284
 
 
285
 
#define SPLAY_FOREACH(x, name, head)                                    \
286
 
        for ((x) = SPLAY_MIN(name, head);                               \
287
 
             (x) != NULL;                                               \
288
 
             (x) = SPLAY_NEXT(name, head, x))
289
 
 
290
 
/* Macros that define a red-back tree */
291
 
#define RB_HEAD(name, type)                                             \
292
 
struct name {                                                           \
293
 
        struct type *rbh_root; /* root of the tree */                   \
294
 
}
295
 
 
296
 
#define RB_INITIALIZER(root)                                            \
297
 
        { NULL }
298
 
 
299
 
#define RB_INIT(root) do {                                              \
300
 
        (root)->rbh_root = NULL;                                        \
301
 
} while (0)
302
 
 
303
 
#define RB_BLACK        0
304
 
#define RB_RED          1
305
 
#define RB_ENTRY(type)                                                  \
306
 
struct {                                                                \
307
 
        struct type *rbe_left;          /* left element */              \
308
 
        struct type *rbe_right;         /* right element */             \
309
 
        struct type *rbe_parent;        /* parent element */            \
310
 
        int rbe_color;                  /* node color */                \
311
 
}
312
 
 
313
 
#define RB_LEFT(elm, field)             (elm)->field.rbe_left
314
 
#define RB_RIGHT(elm, field)            (elm)->field.rbe_right
315
 
#define RB_PARENT(elm, field)           (elm)->field.rbe_parent
316
 
#define RB_COLOR(elm, field)            (elm)->field.rbe_color
317
 
#define RB_ROOT(head)                   (head)->rbh_root
318
 
#define RB_EMPTY(head)                  (RB_ROOT(head) == NULL)
319
 
 
320
 
#define RB_SET(elm, parent, field) do {                                 \
321
 
        RB_PARENT(elm, field) = parent;                                 \
322
 
        RB_LEFT(elm, field) = RB_RIGHT(elm, field) = NULL;              \
323
 
        RB_COLOR(elm, field) = RB_RED;                                  \
324
 
} while (0)
325
 
 
326
 
#define RB_SET_BLACKRED(black, red, field) do {                         \
327
 
        RB_COLOR(black, field) = RB_BLACK;                              \
328
 
        RB_COLOR(red, field) = RB_RED;                                  \
329
 
} while (0)
330
 
 
331
 
#ifndef RB_AUGMENT
332
 
#define RB_AUGMENT(x)
333
 
#endif
334
 
 
335
 
#define RB_ROTATE_LEFT(head, elm, tmp, field) do {                      \
336
 
        (tmp) = RB_RIGHT(elm, field);                                   \
337
 
        if ((RB_RIGHT(elm, field) = RB_LEFT(tmp, field))) {             \
338
 
                RB_PARENT(RB_LEFT(tmp, field), field) = (elm);          \
339
 
        }                                                               \
340
 
        RB_AUGMENT(elm);                                                \
341
 
        if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) {          \
342
 
                if ((elm) == RB_LEFT(RB_PARENT(elm, field), field))     \
343
 
                        RB_LEFT(RB_PARENT(elm, field), field) = (tmp);  \
344
 
                else                                                    \
345
 
                        RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \
346
 
        } else                                                          \
347
 
                (head)->rbh_root = (tmp);                               \
348
 
        RB_LEFT(tmp, field) = (elm);                                    \
349
 
        RB_PARENT(elm, field) = (tmp);                                  \
350
 
        RB_AUGMENT(tmp);                                                \
351
 
        if ((RB_PARENT(tmp, field)))                                    \
352
 
                RB_AUGMENT(RB_PARENT(tmp, field));                      \
353
 
} while (0)
354
 
 
355
 
#define RB_ROTATE_RIGHT(head, elm, tmp, field) do {                     \
356
 
        (tmp) = RB_LEFT(elm, field);                                    \
357
 
        if ((RB_LEFT(elm, field) = RB_RIGHT(tmp, field))) {             \
358
 
                RB_PARENT(RB_RIGHT(tmp, field), field) = (elm);         \
359
 
        }                                                               \
360
 
        RB_AUGMENT(elm);                                                \
361
 
        if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field))) {          \
362
 
                if ((elm) == RB_LEFT(RB_PARENT(elm, field), field))     \
363
 
                        RB_LEFT(RB_PARENT(elm, field), field) = (tmp);  \
364
 
                else                                                    \
365
 
                        RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \
366
 
        } else                                                          \
367
 
                (head)->rbh_root = (tmp);                               \
368
 
        RB_RIGHT(tmp, field) = (elm);                                   \
369
 
        RB_PARENT(elm, field) = (tmp);                                  \
370
 
        RB_AUGMENT(tmp);                                                \
371
 
        if ((RB_PARENT(tmp, field)))                                    \
372
 
                RB_AUGMENT(RB_PARENT(tmp, field));                      \
373
 
} while (0)
374
 
 
375
 
/* Generates prototypes and inline functions */
376
 
#define RB_PROTOTYPE(name, type, field, cmp)                            \
377
 
void name##_RB_INSERT_COLOR(struct name *, struct type *);      \
378
 
void name##_RB_REMOVE_COLOR(struct name *, struct type *, struct type *);\
379
 
struct type *name##_RB_REMOVE(struct name *, struct type *);            \
380
 
struct type *name##_RB_INSERT(struct name *, struct type *);            \
381
 
struct type *name##_RB_FIND(struct name *, struct type *);              \
382
 
struct type *name##_RB_NEXT(struct type *);                             \
383
 
struct type *name##_RB_MINMAX(struct name *, int);                      \
384
 
                                                                        \
385
 
 
386
 
/* Main rb operation.
387
 
 * Moves node close to the key of elm to top
388
 
 */
389
 
#define RB_GENERATE(name, type, field, cmp)                             \
390
 
void                                                                    \
391
 
name##_RB_INSERT_COLOR(struct name *head, struct type *elm)             \
392
 
{                                                                       \
393
 
        struct type *parent, *gparent, *tmp;                            \
394
 
        while ((parent = RB_PARENT(elm, field)) &&                      \
395
 
            RB_COLOR(parent, field) == RB_RED) {                        \
396
 
                gparent = RB_PARENT(parent, field);                     \
397
 
                if (parent == RB_LEFT(gparent, field)) {                \
398
 
                        tmp = RB_RIGHT(gparent, field);                 \
399
 
                        if (tmp && RB_COLOR(tmp, field) == RB_RED) {    \
400
 
                                RB_COLOR(tmp, field) = RB_BLACK;        \
401
 
                                RB_SET_BLACKRED(parent, gparent, field);\
402
 
                                elm = gparent;                          \
403
 
                                continue;                               \
404
 
                        }                                               \
405
 
                        if (RB_RIGHT(parent, field) == elm) {           \
406
 
                                RB_ROTATE_LEFT(head, parent, tmp, field);\
407
 
                                tmp = parent;                           \
408
 
                                parent = elm;                           \
409
 
                                elm = tmp;                              \
410
 
                        }                                               \
411
 
                        RB_SET_BLACKRED(parent, gparent, field);        \
412
 
                        RB_ROTATE_RIGHT(head, gparent, tmp, field);     \
413
 
                } else {                                                \
414
 
                        tmp = RB_LEFT(gparent, field);                  \
415
 
                        if (tmp && RB_COLOR(tmp, field) == RB_RED) {    \
416
 
                                RB_COLOR(tmp, field) = RB_BLACK;        \
417
 
                                RB_SET_BLACKRED(parent, gparent, field);\
418
 
                                elm = gparent;                          \
419
 
                                continue;                               \
420
 
                        }                                               \
421
 
                        if (RB_LEFT(parent, field) == elm) {            \
422
 
                                RB_ROTATE_RIGHT(head, parent, tmp, field);\
423
 
                                tmp = parent;                           \
424
 
                                parent = elm;                           \
425
 
                                elm = tmp;                              \
426
 
                        }                                               \
427
 
                        RB_SET_BLACKRED(parent, gparent, field);        \
428
 
                        RB_ROTATE_LEFT(head, gparent, tmp, field);      \
429
 
                }                                                       \
430
 
        }                                                               \
431
 
        RB_COLOR(head->rbh_root, field) = RB_BLACK;                     \
432
 
}                                                                       \
433
 
                                                                        \
434
 
void                                                                    \
435
 
name##_RB_REMOVE_COLOR(struct name *head, struct type *parent, struct type *elm) \
436
 
{                                                                       \
437
 
        struct type *tmp;                                               \
438
 
        while ((elm == NULL || RB_COLOR(elm, field) == RB_BLACK) &&     \
439
 
            elm != RB_ROOT(head)) {                                     \
440
 
                if (RB_LEFT(parent, field) == elm) {                    \
441
 
                        tmp = RB_RIGHT(parent, field);                  \
442
 
                        if (RB_COLOR(tmp, field) == RB_RED) {           \
443
 
                                RB_SET_BLACKRED(tmp, parent, field);    \
444
 
                                RB_ROTATE_LEFT(head, parent, tmp, field);\
445
 
                                tmp = RB_RIGHT(parent, field);          \
446
 
                        }                                               \
447
 
                        if ((RB_LEFT(tmp, field) == NULL ||             \
448
 
                            RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\
449
 
                            (RB_RIGHT(tmp, field) == NULL ||            \
450
 
                            RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\
451
 
                                RB_COLOR(tmp, field) = RB_RED;          \
452
 
                                elm = parent;                           \
453
 
                                parent = RB_PARENT(elm, field);         \
454
 
                        } else {                                        \
455
 
                                if (RB_RIGHT(tmp, field) == NULL ||     \
456
 
                                    RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK) {\
457
 
                                        struct type *oleft;             \
458
 
                                        if ((oleft = RB_LEFT(tmp, field)))\
459
 
                                                RB_COLOR(oleft, field) = RB_BLACK;\
460
 
                                        RB_COLOR(tmp, field) = RB_RED;  \
461
 
                                        RB_ROTATE_RIGHT(head, tmp, oleft, field);\
462
 
                                        tmp = RB_RIGHT(parent, field);  \
463
 
                                }                                       \
464
 
                                RB_COLOR(tmp, field) = RB_COLOR(parent, field);\
465
 
                                RB_COLOR(parent, field) = RB_BLACK;     \
466
 
                                if (RB_RIGHT(tmp, field))               \
467
 
                                        RB_COLOR(RB_RIGHT(tmp, field), field) = RB_BLACK;\
468
 
                                RB_ROTATE_LEFT(head, parent, tmp, field);\
469
 
                                elm = RB_ROOT(head);                    \
470
 
                                break;                                  \
471
 
                        }                                               \
472
 
                } else {                                                \
473
 
                        tmp = RB_LEFT(parent, field);                   \
474
 
                        if (RB_COLOR(tmp, field) == RB_RED) {           \
475
 
                                RB_SET_BLACKRED(tmp, parent, field);    \
476
 
                                RB_ROTATE_RIGHT(head, parent, tmp, field);\
477
 
                                tmp = RB_LEFT(parent, field);           \
478
 
                        }                                               \
479
 
                        if ((RB_LEFT(tmp, field) == NULL ||             \
480
 
                            RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) &&\
481
 
                            (RB_RIGHT(tmp, field) == NULL ||            \
482
 
                            RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) {\
483
 
                                RB_COLOR(tmp, field) = RB_RED;          \
484
 
                                elm = parent;                           \
485
 
                                parent = RB_PARENT(elm, field);         \
486
 
                        } else {                                        \
487
 
                                if (RB_LEFT(tmp, field) == NULL ||      \
488
 
                                    RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) {\
489
 
                                        struct type *oright;            \
490
 
                                        if ((oright = RB_RIGHT(tmp, field)))\
491
 
                                                RB_COLOR(oright, field) = RB_BLACK;\
492
 
                                        RB_COLOR(tmp, field) = RB_RED;  \
493
 
                                        RB_ROTATE_LEFT(head, tmp, oright, field);\
494
 
                                        tmp = RB_LEFT(parent, field);   \
495
 
                                }                                       \
496
 
                                RB_COLOR(tmp, field) = RB_COLOR(parent, field);\
497
 
                                RB_COLOR(parent, field) = RB_BLACK;     \
498
 
                                if (RB_LEFT(tmp, field))                \
499
 
                                        RB_COLOR(RB_LEFT(tmp, field), field) = RB_BLACK;\
500
 
                                RB_ROTATE_RIGHT(head, parent, tmp, field);\
501
 
                                elm = RB_ROOT(head);                    \
502
 
                                break;                                  \
503
 
                        }                                               \
504
 
                }                                                       \
505
 
        }                                                               \
506
 
        if (elm)                                                        \
507
 
                RB_COLOR(elm, field) = RB_BLACK;                        \
508
 
}                                                                       \
509
 
                                                                        \
510
 
struct type *                                                           \
511
 
name##_RB_REMOVE(struct name *head, struct type *elm)                   \
512
 
{                                                                       \
513
 
        struct type *child, *parent, *old = elm;                        \
514
 
        int color;                                                      \
515
 
        if (RB_LEFT(elm, field) == NULL)                                \
516
 
                child = RB_RIGHT(elm, field);                           \
517
 
        else if (RB_RIGHT(elm, field) == NULL)                          \
518
 
                child = RB_LEFT(elm, field);                            \
519
 
        else {                                                          \
520
 
                struct type *left;                                      \
521
 
                elm = RB_RIGHT(elm, field);                             \
522
 
                while ((left = RB_LEFT(elm, field)))                    \
523
 
                        elm = left;                                     \
524
 
                child = RB_RIGHT(elm, field);                           \
525
 
                parent = RB_PARENT(elm, field);                         \
526
 
                color = RB_COLOR(elm, field);                           \
527
 
                if (child)                                              \
528
 
                        RB_PARENT(child, field) = parent;               \
529
 
                if (parent) {                                           \
530
 
                        if (RB_LEFT(parent, field) == elm)              \
531
 
                                RB_LEFT(parent, field) = child;         \
532
 
                        else                                            \
533
 
                                RB_RIGHT(parent, field) = child;        \
534
 
                        RB_AUGMENT(parent);                             \
535
 
                } else                                                  \
536
 
                        RB_ROOT(head) = child;                          \
537
 
                if (RB_PARENT(elm, field) == old)                       \
538
 
                        parent = elm;                                   \
539
 
                (elm)->field = (old)->field;                            \
540
 
                if (RB_PARENT(old, field)) {                            \
541
 
                        if (RB_LEFT(RB_PARENT(old, field), field) == old)\
542
 
                                RB_LEFT(RB_PARENT(old, field), field) = elm;\
543
 
                        else                                            \
544
 
                                RB_RIGHT(RB_PARENT(old, field), field) = elm;\
545
 
                        RB_AUGMENT(RB_PARENT(old, field));              \
546
 
                } else                                                  \
547
 
                        RB_ROOT(head) = elm;                            \
548
 
                RB_PARENT(RB_LEFT(old, field), field) = elm;            \
549
 
                if (RB_RIGHT(old, field))                               \
550
 
                        RB_PARENT(RB_RIGHT(old, field), field) = elm;   \
551
 
                if (parent) {                                           \
552
 
                        left = parent;                                  \
553
 
                        do {                                            \
554
 
                                RB_AUGMENT(left);                       \
555
 
                        } while ((left = RB_PARENT(left, field)));      \
556
 
                }                                                       \
557
 
                goto color;                                             \
558
 
        }                                                               \
559
 
        parent = RB_PARENT(elm, field);                                 \
560
 
        color = RB_COLOR(elm, field);                                   \
561
 
        if (child)                                                      \
562
 
                RB_PARENT(child, field) = parent;                       \
563
 
        if (parent) {                                                   \
564
 
                if (RB_LEFT(parent, field) == elm)                      \
565
 
                        RB_LEFT(parent, field) = child;                 \
566
 
                else                                                    \
567
 
                        RB_RIGHT(parent, field) = child;                \
568
 
                RB_AUGMENT(parent);                                     \
569
 
        } else                                                          \
570
 
                RB_ROOT(head) = child;                                  \
571
 
color:                                                                  \
572
 
        if (color == RB_BLACK)                                          \
573
 
                name##_RB_REMOVE_COLOR(head, parent, child);            \
574
 
        return (old);                                                   \
575
 
}                                                                       \
576
 
                                                                        \
577
 
/* Inserts a node into the RB tree */                                   \
578
 
struct type *                                                           \
579
 
name##_RB_INSERT(struct name *head, struct type *elm)                   \
580
 
{                                                                       \
581
 
        struct type *tmp;                                               \
582
 
        struct type *parent = NULL;                                     \
583
 
        int comp = 0;                                                   \
584
 
        tmp = RB_ROOT(head);                                            \
585
 
        while (tmp) {                                                   \
586
 
                parent = tmp;                                           \
587
 
                comp = (cmp)(elm, parent);                              \
588
 
                if (comp < 0)                                           \
589
 
                        tmp = RB_LEFT(tmp, field);                      \
590
 
                else if (comp > 0)                                      \
591
 
                        tmp = RB_RIGHT(tmp, field);                     \
592
 
                else                                                    \
593
 
                        return (tmp);                                   \
594
 
        }                                                               \
595
 
        RB_SET(elm, parent, field);                                     \
596
 
        if (parent != NULL) {                                           \
597
 
                if (comp < 0)                                           \
598
 
                        RB_LEFT(parent, field) = elm;                   \
599
 
                else                                                    \
600
 
                        RB_RIGHT(parent, field) = elm;                  \
601
 
                RB_AUGMENT(parent);                                     \
602
 
        } else                                                          \
603
 
                RB_ROOT(head) = elm;                                    \
604
 
        name##_RB_INSERT_COLOR(head, elm);                              \
605
 
        return (NULL);                                                  \
606
 
}                                                                       \
607
 
                                                                        \
608
 
/* Finds the node with the same key as elm */                           \
609
 
struct type *                                                           \
610
 
name##_RB_FIND(struct name *head, struct type *elm)                     \
611
 
{                                                                       \
612
 
        struct type *tmp = RB_ROOT(head);                               \
613
 
        int comp;                                                       \
614
 
        while (tmp) {                                                   \
615
 
                comp = cmp(elm, tmp);                                   \
616
 
                if (comp < 0)                                           \
617
 
                        tmp = RB_LEFT(tmp, field);                      \
618
 
                else if (comp > 0)                                      \
619
 
                        tmp = RB_RIGHT(tmp, field);                     \
620
 
                else                                                    \
621
 
                        return (tmp);                                   \
622
 
        }                                                               \
623
 
        return (NULL);                                                  \
624
 
}                                                                       \
625
 
                                                                        \
626
 
struct type *                                                           \
627
 
name##_RB_NEXT(struct type *elm)                                        \
628
 
{                                                                       \
629
 
        if (RB_RIGHT(elm, field)) {                                     \
630
 
                elm = RB_RIGHT(elm, field);                             \
631
 
                while (RB_LEFT(elm, field))                             \
632
 
                        elm = RB_LEFT(elm, field);                      \
633
 
        } else {                                                        \
634
 
                if (RB_PARENT(elm, field) &&                            \
635
 
                    (elm == RB_LEFT(RB_PARENT(elm, field), field)))     \
636
 
                        elm = RB_PARENT(elm, field);                    \
637
 
                else {                                                  \
638
 
                        while (RB_PARENT(elm, field) &&                 \
639
 
                            (elm == RB_RIGHT(RB_PARENT(elm, field), field)))\
640
 
                                elm = RB_PARENT(elm, field);            \
641
 
                        elm = RB_PARENT(elm, field);                    \
642
 
                }                                                       \
643
 
        }                                                               \
644
 
        return (elm);                                                   \
645
 
}                                                                       \
646
 
                                                                        \
647
 
struct type *                                                           \
648
 
name##_RB_MINMAX(struct name *head, int val)                            \
649
 
{                                                                       \
650
 
        struct type *tmp = RB_ROOT(head);                               \
651
 
        struct type *parent = NULL;                                     \
652
 
        while (tmp) {                                                   \
653
 
                parent = tmp;                                           \
654
 
                if (val < 0)                                            \
655
 
                        tmp = RB_LEFT(tmp, field);                      \
656
 
                else                                                    \
657
 
                        tmp = RB_RIGHT(tmp, field);                     \
658
 
        }                                                               \
659
 
        return (parent);                                                \
660
 
}
661
 
 
662
 
#define RB_NEGINF       -1
663
 
#define RB_INF  1
664
 
 
665
 
#define RB_INSERT(name, x, y)   name##_RB_INSERT(x, y)
666
 
#define RB_REMOVE(name, x, y)   name##_RB_REMOVE(x, y)
667
 
#define RB_FIND(name, x, y)     name##_RB_FIND(x, y)
668
 
#define RB_NEXT(name, x, y)     name##_RB_NEXT(y)
669
 
#define RB_MIN(name, x)         name##_RB_MINMAX(x, RB_NEGINF)
670
 
#define RB_MAX(name, x)         name##_RB_MINMAX(x, RB_INF)
671
 
 
672
 
#define RB_FOREACH(x, name, head)                                       \
673
 
        for ((x) = RB_MIN(name, head);                                  \
674
 
             (x) != NULL;                                               \
675
 
             (x) = name##_RB_NEXT(x))
676
 
 
677
 
#endif  /* _SYS_TREE_H_ */