#ifndef AC_KSORT_H
#define AC_KSORT_H
#include <stdlib.h>
#include <string.h>
typedef struct {
void *left, *right;
int depth;
} ks_isort_stack_t;
#define KSORT_SWAP(type_t, a, b) { register type_t t=(a); (a)=(b); (b)=t; }
#define KSORT_INIT(name, type_t, __sort_lt) \
void ks_mergesort_##name(size_t n, type_t array[], type_t temp[]) \
{ \
type_t *a2[2], *a, *b; \
int curr, shift; \
\
a2[0] = array; \
a2[1] = temp? temp : (type_t*)malloc(sizeof(type_t) * n); \
for (curr = 0, shift = 0; (1ul<<shift) < n; ++shift) { \
a = a2[curr]; b = a2[1-curr]; \
if (shift == 0) { \
type_t *p = b, *i, *eb = a + n; \
for (i = a; i < eb; i += 2) { \
if (i == eb - 1) *p++ = *i; \
else { \
if (__sort_lt(*(i+1), *i)) { \
*p++ = *(i+1); *p++ = *i; \
} else { \
*p++ = *i; *p++ = *(i+1); \
} \
} \
} \
} else { \
size_t i, step = 1ul<<shift; \
for (i = 0; i < n; i += step<<1) { \
type_t *p, *j, *k, *ea, *eb; \
if (n < i + step) { \
ea = a + n; eb = a; \
} else { \
ea = a + i + step; \
eb = a + (n < i + (step<<1)? n : i + (step<<1)); \
} \
j = a + i; k = a + i + step; p = b + i; \
while (j < ea && k < eb) { \
if (__sort_lt(*k, *j)) *p++ = *k++; \
else *p++ = *j++; \
} \
while (j < ea) *p++ = *j++; \
while (k < eb) *p++ = *k++; \
} \
} \
curr = 1 - curr; \
} \
if (curr == 1) { \
type_t *p = a2[0], *i = a2[1], *eb = array + n; \
for (; p < eb; ++i) *p++ = *i; \
} \
if (temp == 0) free(a2[1]); \
} \
void ks_heapadjust_##name(size_t i, size_t n, type_t l[]) \
{ \
size_t k = i; \
type_t tmp = l[i]; \
while ((k = (k << 1) + 1) < n) { \
if (k != n - 1 && __sort_lt(l[k], l[k+1])) ++k; \
if (__sort_lt(l[k], tmp)) break; \
l[i] = l[k]; i = k; \
} \
l[i] = tmp; \
} \
void ks_heapmake_##name(size_t lsize, type_t l[]) \
{ \
size_t i; \
for (i = (lsize >> 1) - 1; i != (size_t)(-1); --i) \
ks_heapadjust_##name(i, lsize, l); \
} \
void ks_heapsort_##name(size_t lsize, type_t l[]) \
{ \
size_t i; \
for (i = lsize - 1; i > 0; --i) { \
type_t tmp; \
tmp = *l; *l = l[i]; l[i] = tmp; ks_heapadjust_##name(0, i, l); \
} \
} \
static inline void __ks_insertsort_##name(type_t *s, type_t *t) \
{ \
type_t *i, *j, swap_tmp; \
for (i = s + 1; i < t; ++i) \
for (j = i; j > s && __sort_lt(*j, *(j-1)); --j) { \
swap_tmp = *j; *j = *(j-1); *(j-1) = swap_tmp; \
} \
} \
void ks_combsort_##name(size_t n, type_t a[]) \
{ \
const double shrink_factor = 1.2473309501039786540366528676643; \
int do_swap; \
size_t gap = n; \
type_t tmp, *i, *j; \
do { \
if (gap > 2) { \
gap = (size_t)(gap / shrink_factor); \
if (gap == 9 || gap == 10) gap = 11; \
} \
do_swap = 0; \
for (i = a; i < a + n - gap; ++i) { \
j = i + gap; \
if (__sort_lt(*j, *i)) { \
tmp = *i; *i = *j; *j = tmp; \
do_swap = 1; \
} \
} \
} while (do_swap || gap > 2); \
if (gap != 1) __ks_insertsort_##name(a, a + n); \
} \
void ks_introsort_##name(size_t n, type_t a[]) \
{ \
int d; \
ks_isort_stack_t *top, *stack; \
type_t rp, swap_tmp; \
type_t *s, *t, *i, *j, *k; \
\
if (n < 1) return; \
else if (n == 2) { \
if (__sort_lt(a[1], a[0])) { swap_tmp = a[0]; a[0] = a[1]; a[1] = swap_tmp; } \
return; \
} \
for (d = 2; 1ul<<d < n; ++d); \
stack = (ks_isort_stack_t*)malloc(sizeof(ks_isort_stack_t) * ((sizeof(size_t)*d)+2)); \
top = stack; s = a; t = a + (n-1); d <<= 1; \
while (1) { \
if (s < t) { \
if (--d == 0) { \
ks_combsort_##name(t - s + 1, s); \
t = s; \
continue; \
} \
i = s; j = t; k = i + ((j-i)>>1) + 1; \
if (__sort_lt(*k, *i)) { \
if (__sort_lt(*k, *j)) k = j; \
} else k = __sort_lt(*j, *i)? i : j; \
rp = *k; \
if (k != t) { swap_tmp = *k; *k = *t; *t = swap_tmp; } \
for (;;) { \
do ++i; while (__sort_lt(*i, rp)); \
do --j; while (i <= j && __sort_lt(rp, *j)); \
if (j <= i) break; \
swap_tmp = *i; *i = *j; *j = swap_tmp; \
} \
swap_tmp = *i; *i = *t; *t = swap_tmp; \
if (i-s > t-i) { \
if (i-s > 16) { top->left = s; top->right = i-1; top->depth = d; ++top; } \
s = t-i > 16? i+1 : t; \
} else { \
if (t-i > 16) { top->left = i+1; top->right = t; top->depth = d; ++top; } \
t = i-s > 16? i-1 : s; \
} \
} else { \
if (top == stack) { \
free(stack); \
__ks_insertsort_##name(a, a+n); \
return; \
} else { --top; s = (type_t*)top->left; t = (type_t*)top->right; d = top->depth; } \
} \
} \
} \
\
\
type_t ks_ksmall_##name(size_t n, type_t arr[], size_t kk) \
{ \
type_t *low, *high, *k, *ll, *hh, *mid; \
low = arr; high = arr + n - 1; k = arr + kk; \
for (;;) { \
if (high <= low) return *k; \
if (high == low + 1) { \
if (__sort_lt(*high, *low)) KSORT_SWAP(type_t, *low, *high); \
return *k; \
} \
mid = low + (high - low) / 2; \
if (__sort_lt(*high, *mid)) KSORT_SWAP(type_t, *mid, *high); \
if (__sort_lt(*high, *low)) KSORT_SWAP(type_t, *low, *high); \
if (__sort_lt(*low, *mid)) KSORT_SWAP(type_t, *mid, *low); \
KSORT_SWAP(type_t, *mid, *(low+1)); \
ll = low + 1; hh = high; \
for (;;) { \
do ++ll; while (__sort_lt(*ll, *low)); \
do --hh; while (__sort_lt(*low, *hh)); \
if (hh < ll) break; \
KSORT_SWAP(type_t, *ll, *hh); \
} \
KSORT_SWAP(type_t, *low, *hh); \
if (hh <= k) low = ll; \
if (hh >= k) high = hh - 1; \
} \
} \
void ks_shuffle_##name(size_t n, type_t a[]) \
{ \
int i, j; \
for (i = n; i > 1; --i) { \
type_t tmp; \
j = (int)(drand48() * i); \
tmp = a[j]; a[j] = a[i-1]; a[i-1] = tmp; \
} \
}
#define ks_mergesort(name, n, a, t) ks_mergesort_##name(n, a, t)
#define ks_introsort(name, n, a) ks_introsort_##name(n, a)
#define ks_combsort(name, n, a) ks_combsort_##name(n, a)
#define ks_heapsort(name, n, a) ks_heapsort_##name(n, a)
#define ks_heapmake(name, n, a) ks_heapmake_##name(n, a)
#define ks_heapadjust(name, i, n, a) ks_heapadjust_##name(i, n, a)
#define ks_ksmall(name, n, a, k) ks_ksmall_##name(n, a, k)
#define ks_shuffle(name, n, a) ks_shuffle_##name(n, a)
#define ks_lt_generic(a, b) ((a) < (b))
#define ks_lt_str(a, b) (strcmp((a), (b)) < 0)
typedef const char *ksstr_t;
#define KSORT_INIT_GENERIC(type_t) KSORT_INIT(type_t, type_t, ks_lt_generic)
#define KSORT_INIT_STR KSORT_INIT(str, ksstr_t, ks_lt_str)
#endif