1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
|
/*-
* Copyright 1997-1999, 2001, John-Mark Gurney.
* 2008-2009, Attractive Chaos <attractor@live.co.uk>
*
* 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 AND CONTRIBUTORS ``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 OR CONTRIBUTORS 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 __AC_KBTREE_H
#define __AC_KBTREE_H
#include <stdlib.h>
#include <string.h>
#include <stdint.h>
typedef struct {
int32_t is_internal:1, n:31;
} kbnode_t;
#define __KB_KEY(type, x) ((type*)((char*)x + 4))
#define __KB_PTR(btr, x) ((kbnode_t**)((char*)x + btr->off_ptr))
#define __KB_TREE_T(name) \
typedef struct { \
kbnode_t *root; \
int off_key, off_ptr, ilen, elen; \
int n, t; \
int n_keys, n_nodes; \
} kbtree_##name##_t;
#define __KB_INIT(name, key_t) \
kbtree_##name##_t *kb_init_##name(int size) \
{ \
kbtree_##name##_t *b; \
b = (kbtree_##name##_t*)calloc(1, sizeof(kbtree_##name##_t)); \
b->t = ((size - 4 - sizeof(void*)) / (sizeof(void*) + sizeof(key_t)) + 1) >> 1; \
if (b->t < 2) { \
free(b); return 0; \
} \
b->n = 2 * b->t - 1; \
b->off_ptr = 4 + b->n * sizeof(key_t); \
b->ilen = (4 + sizeof(void*) + b->n * (sizeof(void*) + sizeof(key_t)) + 3) >> 2 << 2; \
b->elen = (b->off_ptr + 3) >> 2 << 2; \
b->root = (kbnode_t*)calloc(1, b->ilen); \
++b->n_nodes; \
return b; \
}
#define __kb_destroy(b) do { \
int i, max = 8; \
kbnode_t *x, **top, **stack = 0; \
if (b) { \
top = stack = (kbnode_t**)calloc(max, sizeof(kbnode_t*)); \
*top++ = (b)->root; \
while (top != stack) { \
x = *--top; \
if (x->is_internal == 0) { free(x); continue; } \
for (i = 0; i <= x->n; ++i) \
if (__KB_PTR(b, x)[i]) { \
if (top - stack == max) { \
max <<= 1; \
stack = (kbnode_t**)realloc(stack, max * sizeof(kbnode_t*)); \
top = stack + (max>>1); \
} \
*top++ = __KB_PTR(b, x)[i]; \
} \
free(x); \
} \
} \
free(b); free(stack); \
} while (0)
#define __kb_get_first(key_t, b, ret) do { \
kbnode_t *__x = (b)->root; \
while (__KB_PTR(b, __x)[0] != 0) \
__x = __KB_PTR(b, __x)[0]; \
(ret) = __KB_KEY(key_t, __x)[0]; \
} while (0)
#define __KB_GET_AUX0(name, key_t, __cmp) \
static inline int __kb_get_aux_##name(const kbnode_t * __restrict x, const key_t * __restrict k, int *r) \
{ \
int tr, *rr, begin, end, n = x->n >> 1; \
if (x->n == 0) return -1; \
if (__cmp(*k, __KB_KEY(key_t, x)[n]) < 0) { \
begin = 0; end = n; \
} else { begin = n; end = x->n - 1; } \
rr = r? r : &tr; \
n = end; \
while (n >= begin && (*rr = __cmp(*k, __KB_KEY(key_t, x)[n])) < 0) --n; \
return n; \
}
#define __KB_GET_AUX1(name, key_t, __cmp) \
static inline int __kb_getp_aux_##name(const kbnode_t * __restrict x, const key_t * __restrict k, int *r) \
{ \
int tr, *rr, begin = 0, end = x->n; \
if (x->n == 0) return -1; \
rr = r? r : &tr; \
while (begin < end) { \
int mid = (begin + end) >> 1; \
if (__cmp(__KB_KEY(key_t, x)[mid], *k) < 0) begin = mid + 1; \
else end = mid; \
} \
if (begin == x->n) { *rr = 1; return x->n - 1; } \
if ((*rr = __cmp(*k, __KB_KEY(key_t, x)[begin])) < 0) --begin; \
return begin; \
}
#define __KB_GET(name, key_t) \
static key_t *kb_getp_##name(kbtree_##name##_t *b, const key_t * __restrict k) \
{ \
int i, r = 0; \
kbnode_t *x = b->root; \
while (x) { \
i = __kb_getp_aux_##name(x, k, &r); \
if (i >= 0 && r == 0) return &__KB_KEY(key_t, x)[i]; \
if (x->is_internal == 0) return 0; \
x = __KB_PTR(b, x)[i + 1]; \
} \
return 0; \
} \
static inline key_t *kb_get_##name(kbtree_##name##_t *b, const key_t k) \
{ \
return kb_getp_##name(b, &k); \
}
#define __KB_INTERVAL(name, key_t) \
static void kb_intervalp_##name(kbtree_##name##_t *b, const key_t * __restrict k, key_t **lower, key_t **upper) \
{ \
int i, r = 0; \
kbnode_t *x = b->root; \
*lower = *upper = 0; \
while (x) { \
i = __kb_getp_aux_##name(x, k, &r); \
if (i >= 0 && r == 0) { \
*lower = *upper = &__KB_KEY(key_t, x)[i]; \
return; \
} \
if (i >= 0) *lower = &__KB_KEY(key_t, x)[i]; \
if (i < x->n - 1) *upper = &__KB_KEY(key_t, x)[i + 1]; \
if (x->is_internal == 0) return; \
x = __KB_PTR(b, x)[i + 1]; \
} \
} \
static inline void kb_interval_##name(kbtree_##name##_t *b, const key_t k, key_t **lower, key_t **upper) \
{ \
kb_intervalp_##name(b, &k, lower, upper); \
}
#define __KB_PUT(name, key_t, __cmp) \
/* x must be an internal node */ \
static void __kb_split_##name(kbtree_##name##_t *b, kbnode_t *x, int i, kbnode_t *y) \
{ \
kbnode_t *z; \
z = (kbnode_t*)calloc(1, y->is_internal? b->ilen : b->elen); \
++b->n_nodes; \
z->is_internal = y->is_internal; \
z->n = b->t - 1; \
memcpy(__KB_KEY(key_t, z), __KB_KEY(key_t, y) + b->t, sizeof(key_t) * (b->t - 1)); \
if (y->is_internal) memcpy(__KB_PTR(b, z), __KB_PTR(b, y) + b->t, sizeof(void*) * b->t); \
y->n = b->t - 1; \
memmove(__KB_PTR(b, x) + i + 2, __KB_PTR(b, x) + i + 1, sizeof(void*) * (x->n - i)); \
__KB_PTR(b, x)[i + 1] = z; \
memmove(__KB_KEY(key_t, x) + i + 1, __KB_KEY(key_t, x) + i, sizeof(key_t) * (x->n - i)); \
__KB_KEY(key_t, x)[i] = __KB_KEY(key_t, y)[b->t - 1]; \
++x->n; \
} \
static void __kb_putp_aux_##name(kbtree_##name##_t *b, kbnode_t *x, const key_t * __restrict k) \
{ \
int i = x->n - 1; \
if (x->is_internal == 0) { \
i = __kb_getp_aux_##name(x, k, 0); \
if (i != x->n - 1) \
memmove(__KB_KEY(key_t, x) + i + 2, __KB_KEY(key_t, x) + i + 1, (x->n - i - 1) * sizeof(key_t)); \
__KB_KEY(key_t, x)[i + 1] = *k; \
++x->n; \
} else { \
i = __kb_getp_aux_##name(x, k, 0) + 1; \
if (__KB_PTR(b, x)[i]->n == 2 * b->t - 1) { \
__kb_split_##name(b, x, i, __KB_PTR(b, x)[i]); \
if (__cmp(*k, __KB_KEY(key_t, x)[i]) > 0) ++i; \
} \
__kb_putp_aux_##name(b, __KB_PTR(b, x)[i], k); \
} \
} \
static void kb_putp_##name(kbtree_##name##_t *b, const key_t * __restrict k) \
{ \
kbnode_t *r, *s; \
++b->n_keys; \
r = b->root; \
if (r->n == 2 * b->t - 1) { \
++b->n_nodes; \
s = (kbnode_t*)calloc(1, b->ilen); \
b->root = s; s->is_internal = 1; s->n = 0; \
__KB_PTR(b, s)[0] = r; \
__kb_split_##name(b, s, 0, r); \
r = s; \
} \
__kb_putp_aux_##name(b, r, k); \
} \
static inline void kb_put_##name(kbtree_##name##_t *b, const key_t k) \
{ \
kb_putp_##name(b, &k); \
}
#define __KB_DEL(name, key_t) \
static key_t __kb_delp_aux_##name(kbtree_##name##_t *b, kbnode_t *x, const key_t * __restrict k, int s) \
{ \
int yn, zn, i, r = 0; \
kbnode_t *xp, *y, *z; \
key_t kp; \
if (x == 0) return *k; \
if (s) { /* s can only be 0, 1 or 2 */ \
r = x->is_internal == 0? 0 : s == 1? 1 : -1; \
i = s == 1? x->n - 1 : -1; \
} else i = __kb_getp_aux_##name(x, k, &r); \
if (x->is_internal == 0) { \
if (s == 2) ++i; \
kp = __KB_KEY(key_t, x)[i]; \
memmove(__KB_KEY(key_t, x) + i, __KB_KEY(key_t, x) + i + 1, (x->n - i - 1) * sizeof(key_t)); \
--x->n; \
return kp; \
} \
if (r == 0) { \
if ((yn = __KB_PTR(b, x)[i]->n) >= b->t) { \
xp = __KB_PTR(b, x)[i]; \
kp = __KB_KEY(key_t, x)[i]; \
__KB_KEY(key_t, x)[i] = __kb_delp_aux_##name(b, xp, 0, 1); \
return kp; \
} else if ((zn = __KB_PTR(b, x)[i + 1]->n) >= b->t) { \
xp = __KB_PTR(b, x)[i + 1]; \
kp = __KB_KEY(key_t, x)[i]; \
__KB_KEY(key_t, x)[i] = __kb_delp_aux_##name(b, xp, 0, 2); \
return kp; \
} else if (yn == b->t - 1 && zn == b->t - 1) { \
y = __KB_PTR(b, x)[i]; z = __KB_PTR(b, x)[i + 1]; \
__KB_KEY(key_t, y)[y->n++] = *k; \
memmove(__KB_KEY(key_t, y) + y->n, __KB_KEY(key_t, z), z->n * sizeof(key_t)); \
if (y->is_internal) memmove(__KB_PTR(b, y) + y->n, __KB_PTR(b, z), (z->n + 1) * sizeof(void*)); \
y->n += z->n; \
memmove(__KB_KEY(key_t, x) + i, __KB_KEY(key_t, x) + i + 1, (x->n - i - 1) * sizeof(key_t)); \
memmove(__KB_PTR(b, x) + i + 1, __KB_PTR(b, x) + i + 2, (x->n - i - 1) * sizeof(void*)); \
--x->n; \
free(z); \
return __kb_delp_aux_##name(b, y, k, s); \
} \
} \
++i; \
if ((xp = __KB_PTR(b, x)[i])->n == b->t - 1) { \
if (i > 0 && (y = __KB_PTR(b, x)[i - 1])->n >= b->t) { \
memmove(__KB_KEY(key_t, xp) + 1, __KB_KEY(key_t, xp), xp->n * sizeof(key_t)); \
if (xp->is_internal) memmove(__KB_PTR(b, xp) + 1, __KB_PTR(b, xp), (xp->n + 1) * sizeof(void*)); \
__KB_KEY(key_t, xp)[0] = __KB_KEY(key_t, x)[i - 1]; \
__KB_KEY(key_t, x)[i - 1] = __KB_KEY(key_t, y)[y->n - 1]; \
if (xp->is_internal) __KB_PTR(b, xp)[0] = __KB_PTR(b, y)[y->n]; \
--y->n; ++xp->n; \
} else if (i < x->n && (y = __KB_PTR(b, x)[i + 1])->n >= b->t) { \
__KB_KEY(key_t, xp)[xp->n++] = __KB_KEY(key_t, x)[i]; \
__KB_KEY(key_t, x)[i] = __KB_KEY(key_t, y)[0]; \
if (xp->is_internal) __KB_PTR(b, xp)[xp->n] = __KB_PTR(b, y)[0]; \
--y->n; \
memmove(__KB_KEY(key_t, y), __KB_KEY(key_t, y) + 1, y->n * sizeof(key_t)); \
if (y->is_internal) memmove(__KB_PTR(b, y), __KB_PTR(b, y) + 1, (y->n + 1) * sizeof(void*)); \
} else if (i > 0 && (y = __KB_PTR(b, x)[i - 1])->n == b->t - 1) { \
__KB_KEY(key_t, y)[y->n++] = __KB_KEY(key_t, x)[i - 1]; \
memmove(__KB_KEY(key_t, y) + y->n, __KB_KEY(key_t, xp), xp->n * sizeof(key_t)); \
if (y->is_internal) memmove(__KB_PTR(b, y) + y->n, __KB_PTR(b, xp), (xp->n + 1) * sizeof(void*)); \
y->n += xp->n; \
memmove(__KB_KEY(key_t, x) + i - 1, __KB_KEY(key_t, x) + i, (x->n - i) * sizeof(key_t)); \
memmove(__KB_PTR(b, x) + i, __KB_PTR(b, x) + i + 1, (x->n - i) * sizeof(void*)); \
--x->n; \
free(xp); \
xp = y; \
} else if (i < x->n && (y = __KB_PTR(b, x)[i + 1])->n == b->t - 1) { \
__KB_KEY(key_t, xp)[xp->n++] = __KB_KEY(key_t, x)[i]; \
memmove(__KB_KEY(key_t, xp) + xp->n, __KB_KEY(key_t, y), y->n * sizeof(key_t)); \
if (xp->is_internal) memmove(__KB_PTR(b, xp) + xp->n, __KB_PTR(b, y), (y->n + 1) * sizeof(void*)); \
xp->n += y->n; \
memmove(__KB_KEY(key_t, x) + i, __KB_KEY(key_t, x) + i + 1, (x->n - i - 1) * sizeof(key_t)); \
memmove(__KB_PTR(b, x) + i + 1, __KB_PTR(b, x) + i + 2, (x->n - i - 1) * sizeof(void*)); \
--x->n; \
free(y); \
} \
} \
return __kb_delp_aux_##name(b, xp, k, s); \
} \
static key_t kb_delp_##name(kbtree_##name##_t *b, const key_t * __restrict k) \
{ \
kbnode_t *x; \
key_t ret; \
ret = __kb_delp_aux_##name(b, b->root, k, 0); \
--b->n_keys; \
if (b->root->n == 0 && b->root->is_internal) { \
--b->n_nodes; \
x = b->root; \
b->root = __KB_PTR(b, x)[0]; \
free(x); \
} \
return ret; \
} \
static inline key_t kb_del_##name(kbtree_##name##_t *b, const key_t k) \
{ \
return kb_delp_##name(b, &k); \
}
typedef struct {
kbnode_t *x;
int i;
} __kbstack_t;
#define __kb_traverse(key_t, b, __func) do { \
int __kmax = 8; \
__kbstack_t *__kstack, *__kp; \
__kp = __kstack = (__kbstack_t*)calloc(__kmax, sizeof(__kbstack_t)); \
__kp->x = (b)->root; __kp->i = 0; \
for (;;) { \
while (__kp->x && __kp->i <= __kp->x->n) { \
if (__kp - __kstack == __kmax - 1) { \
__kmax <<= 1; \
__kstack = (__kbstack_t*)realloc(__kstack, __kmax * sizeof(__kbstack_t)); \
__kp = __kstack + (__kmax>>1) - 1; \
} \
(__kp+1)->i = 0; (__kp+1)->x = __kp->x->is_internal? __KB_PTR(b, __kp->x)[__kp->i] : 0; \
++__kp; \
} \
--__kp; \
if (__kp >= __kstack) { \
if (__kp->x && __kp->i < __kp->x->n) __func(&__KB_KEY(key_t, __kp->x)[__kp->i]); \
++__kp->i; \
} else break; \
} \
free(__kstack); \
} while (0)
#define KBTREE_INIT(name, key_t, __cmp) \
__KB_TREE_T(name) \
__KB_INIT(name, key_t) \
__KB_GET_AUX1(name, key_t, __cmp) \
__KB_GET(name, key_t) \
__KB_INTERVAL(name, key_t) \
__KB_PUT(name, key_t, __cmp) \
__KB_DEL(name, key_t)
#define KB_DEFAULT_SIZE 512
#define kbtree_t(name) kbtree_##name##_t
#define kb_init(name, s) kb_init_##name(s)
#define kb_destroy(name, b) __kb_destroy(b)
#define kb_get(name, b, k) kb_get_##name(b, k)
#define kb_put(name, b, k) kb_put_##name(b, k)
#define kb_del(name, b, k) kb_del_##name(b, k)
#define kb_interval(name, b, k, l, u) kb_interval_##name(b, k, l, u)
#define kb_getp(name, b, k) kb_getp_##name(b, k)
#define kb_putp(name, b, k) kb_putp_##name(b, k)
#define kb_delp(name, b, k) kb_delp_##name(b, k)
#define kb_intervalp(name, b, k, l, u) kb_intervalp_##name(b, k, l, u)
#define kb_size(b) ((b)->n_keys)
#define kb_generic_cmp(a, b) (((b) < (a)) - ((a) < (b)))
#define kb_str_cmp(a, b) strcmp(a, b)
#endif
|
