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kbtree.h
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/*-
* Copyright 1997-1999, 2001, John-Mark Gurney.
* 2008-2009, Heng Li <[email protected]>
*
* 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 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) / 2; \
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) / 4 * 4; \
b->elen = (b->off_ptr + 3) / 4 * 4; \
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 / 2; \
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) / 2; \
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