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/* The MIT License | |
Copyright (c) 2008, 2011 Attractive Chaos <attractor@live.co.uk> | |
Permission is hereby granted, free of charge, to any person obtaining | |
a copy of this software and associated documentation files (the | |
"Software"), to deal in the Software without restriction, including | |
without limitation the rights to use, copy, modify, merge, publish, | |
distribute, sublicense, and/or sell copies of the Software, and to | |
permit persons to whom the Software is furnished to do so, subject to | |
the following conditions: | |
The above copyright notice and this permission notice shall be | |
included in all copies or substantial portions of the Software. | |
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, | |
EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF | |
MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND | |
NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS | |
BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN | |
ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN | |
CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE | |
SOFTWARE. | |
*/ | |
/* | |
2011-04-10 (0.1.6): | |
* Added sample | |
2011-03 (0.1.5): | |
* Added shuffle/permutation | |
2008-11-16 (0.1.4): | |
* Fixed a bug in introsort() that happens in rare cases. | |
2008-11-05 (0.1.3): | |
* Fixed a bug in introsort() for complex comparisons. | |
* Fixed a bug in mergesort(). The previous version is not stable. | |
2008-09-15 (0.1.2): | |
* Accelerated introsort. On my Mac (not on another Linux machine), | |
my implementation is as fast as std::sort on random input. | |
* Added combsort and in introsort, switch to combsort if the | |
recursion is too deep. | |
2008-09-13 (0.1.1): | |
* Added k-small algorithm | |
2008-09-05 (0.1.0): | |
* Initial version | |
*/ | |
#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; } \ | |
} \ | |
} \ | |
} \ | |
/* This function is adapted from: http://ndevilla.free.fr/median/ */ \ | |
/* 0 <= kk < n */ \ | |
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; \ | |
} \ | |
} \ | |
void ks_sample_##name(size_t n, size_t r, type_t a[]) /* FIXME: NOT TESTED!!! */ \ | |
{ /* reference: http://code.activestate.com/recipes/272884/ */ \ | |
int i, k, pop = n; \ | |
for (i = (int)r, k = 0; i >= 0; --i) { \ | |
double z = 1., x = drand48(); \ | |
type_t tmp; \ | |
while (x < z) z -= z * i / (pop--); \ | |
if (k != n - pop - 1) tmp = a[k], a[k] = a[n-pop-1], a[n-pop-1] = tmp; \ | |
++k; \ | |
} \ | |
} | |
#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) | |
#define RS_MIN_SIZE 64 | |
#define RS_MAX_BITS 8 | |
#define KRADIX_SORT_INIT(name, rstype_t, rskey, sizeof_key) \ | |
typedef struct { \ | |
rstype_t *b, *e; \ | |
} rsbucket_##name##_t; \ | |
void rs_insertsort_##name(rstype_t *beg, rstype_t *end) \ | |
{ \ | |
rstype_t *i; \ | |
for (i = beg + 1; i < end; ++i) \ | |
if (rskey(*i) < rskey(*(i - 1))) { \ | |
rstype_t *j, tmp = *i; \ | |
for (j = i; j > beg && rskey(tmp) < rskey(*(j-1)); --j) \ | |
*j = *(j - 1); \ | |
*j = tmp; \ | |
} \ | |
} \ | |
void rs_sort_##name(rstype_t *beg, rstype_t *end, int n_bits, int s) \ | |
{ \ | |
rstype_t *i; \ | |
int size = 1<<n_bits, m = size - 1; \ | |
rsbucket_##name##_t *k, b[1<<RS_MAX_BITS], *be = b + size; \ | |
assert(n_bits <= RS_MAX_BITS); \ | |
for (k = b; k != be; ++k) k->b = k->e = beg; \ | |
for (i = beg; i != end; ++i) ++b[rskey(*i)>>s&m].e; \ | |
for (k = b + 1; k != be; ++k) \ | |
k->e += (k-1)->e - beg, k->b = (k-1)->e; \ | |
for (k = b; k != be;) { \ | |
if (k->b != k->e) { \ | |
rsbucket_##name##_t *l; \ | |
if ((l = b + (rskey(*k->b)>>s&m)) != k) { \ | |
rstype_t tmp = *k->b, swap; \ | |
do { \ | |
swap = tmp; tmp = *l->b; *l->b++ = swap; \ | |
l = b + (rskey(tmp)>>s&m); \ | |
} while (l != k); \ | |
*k->b++ = tmp; \ | |
} else ++k->b; \ | |
} else ++k; \ | |
} \ | |
for (b->b = beg, k = b + 1; k != be; ++k) k->b = (k-1)->e; \ | |
if (s) { \ | |
s = s > n_bits? s - n_bits : 0; \ | |
for (k = b; k != be; ++k) \ | |
if (k->e - k->b > RS_MIN_SIZE) rs_sort_##name(k->b, k->e, n_bits, s); \ | |
else if (k->e - k->b > 1) rs_insertsort_##name(k->b, k->e); \ | |
} \ | |
} \ | |
void radix_sort_##name(rstype_t *beg, rstype_t *end) \ | |
{ \ | |
if (end - beg <= RS_MIN_SIZE) rs_insertsort_##name(beg, end); \ | |
else rs_sort_##name(beg, end, RS_MAX_BITS, (sizeof_key - 1) * RS_MAX_BITS); \ | |
} | |
#endif |
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/* | |
Copyright (C) 2014-2020 Igor van den Hoven ivdhoven@gmail.com | |
*/ | |
/* | |
This program is free software: you can redistribute it and/or modify | |
it under the terms of the GNU General Public License as published by | |
the Free Software Foundation, either version 3 of the License, or | |
(at your option) any later version. | |
This program is distributed in the hope that it will be useful, | |
but WITHOUT ANY WARRANTY; without even the implied warranty of | |
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
GNU General Public License for more details. | |
You should have received a copy of the GNU General Public License | |
along with this program. If not, see <http://www.gnu.org/licenses/>. | |
*/ | |
/* | |
quadsort 1.1 | |
*/ | |
#include <stdlib.h> | |
#include <stdio.h> | |
#include <string.h> | |
#include <sys/time.h> | |
#include <assert.h> | |
typedef int CMPFUNC (const void *a, const void *b); | |
void tail_sort32(void *array, size_t nmemb, CMPFUNC *cmp) | |
{ | |
int *pta = array; | |
register int swap; | |
switch (nmemb) | |
{ | |
case 1: | |
return; | |
case 2: | |
if (cmp(&pta[0], &pta[1]) > 0) | |
{ | |
swap = pta[0]; | |
pta[0] = pta[1]; | |
pta[1] = swap; | |
} | |
return; | |
case 3: | |
if (cmp(&pta[0], &pta[1]) > 0) | |
{ | |
swap = pta[0]; | |
pta[0] = pta[1]; | |
pta[1] = swap; | |
} | |
if (cmp(&pta[1], &pta[2]) > 0) | |
{ | |
swap = pta[1]; | |
pta[1] = pta[2]; | |
pta[2] = swap; | |
} | |
if (cmp(&pta[0], &pta[1]) > 0) | |
{ | |
swap = pta[0]; | |
pta[0] = pta[1]; | |
pta[1] = swap; | |
} | |
return; | |
default: | |
assert(nmemb < 1 && nmemb > 3); | |
} | |
} | |
void tail_sort64(void *array, size_t nmemb, CMPFUNC *cmp) | |
{ | |
int *pta = array; | |
register long long swap; | |
switch (nmemb) | |
{ | |
case 1: | |
return; | |
case 2: | |
if (cmp(&pta[0], &pta[1]) > 0) | |
{ | |
swap = pta[0]; | |
pta[0] = pta[1]; | |
pta[1] = swap; | |
} | |
return; | |
case 3: | |
if (cmp(&pta[0], &pta[1]) > 0) | |
{ | |
swap = pta[0]; | |
pta[0] = pta[1]; | |
pta[1] = swap; | |
} | |
if (cmp(&pta[1], &pta[2]) > 0) | |
{ | |
swap = pta[1]; | |
pta[1] = pta[2]; | |
pta[2] = swap; | |
} | |
if (cmp(&pta[0], &pta[1]) > 0) | |
{ | |
swap = pta[0]; | |
pta[0] = pta[1]; | |
pta[1] = swap; | |
} | |
return; | |
default: | |
assert(nmemb < 1 && nmemb > 3); | |
} | |
} | |
void quad_swap32(void *array, void *swap, size_t nmemb, CMPFUNC *cmp) | |
{ | |
size_t offset, i; | |
register int *pts, *pta; | |
pta = array; | |
pts = swap; | |
for (offset = 0 ; offset + 4 <= nmemb ; offset += 4) | |
{ | |
if (cmp(&pta[0], &pta[1]) > 0) | |
{ | |
pts[0] = pta[1]; | |
pts[1] = pta[0]; | |
} | |
else | |
{ | |
pts[0] = pta[0]; | |
pts[1] = pta[1]; | |
} | |
if (cmp(&pta[2], &pta[3]) > 0) | |
{ | |
pts[2] = pta[3]; | |
pts[3] = pta[2]; | |
} | |
else | |
{ | |
pts[2] = pta[2]; | |
pts[3] = pta[3]; | |
} | |
if (cmp(&pts[1], &pts[2]) <= 0) | |
{ | |
pta[0] = pts[0]; | |
pta[1] = pts[1]; | |
pta[2] = pts[2]; | |
pta[3] = pts[3]; | |
} | |
else if (cmp(&pts[0], &pts[3]) > 0) | |
{ | |
pta[0] = pts[2]; | |
pta[1] = pts[3]; | |
pta[2] = pts[0]; | |
pta[3] = pts[1]; | |
} | |
else if (cmp(&pts[0], &pts[2]) > 0) | |
{ | |
pta[0] = pts[2]; | |
pta[1] = pts[0]; | |
if (cmp(&pts[1], &pts[3]) > 0) | |
{ | |
pta[2] = pts[3]; | |
pta[3] = pts[1]; | |
} | |
else | |
{ | |
pta[2] = pts[1]; | |
pta[3] = pts[3]; | |
} | |
} | |
else | |
{ | |
pta[0] = pts[0]; | |
pta[1] = pts[2]; | |
if (cmp(&pts[1], &pts[3]) > 0) | |
{ | |
pta[2] = pts[3]; | |
pta[3] = pts[1]; | |
} | |
else | |
{ | |
pta[2] = pts[1]; | |
pta[3] = pts[3]; | |
} | |
} | |
pta += 4; | |
} | |
if (offset < nmemb) | |
{ | |
tail_sort32(pta, nmemb - offset, cmp); | |
} | |
} | |
void quad_swap64(void *array, void *swap, size_t nmemb, CMPFUNC *cmp) | |
{ | |
size_t offset, i; | |
register long long *pts, *pta; | |
pta = array; | |
pts = swap; | |
for (offset = 0 ; offset + 4 <= nmemb ; offset += 4) | |
{ | |
if (cmp(&pta[0], &pta[1]) > 0) | |
{ | |
pts[0] = pta[1]; | |
pts[1] = pta[0]; | |
} | |
else | |
{ | |
pts[0] = pta[0]; | |
pts[1] = pta[1]; | |
} | |
if (cmp(&pta[2], &pta[3]) > 0) | |
{ | |
pts[2] = pta[3]; | |
pts[3] = pta[2]; | |
} | |
else | |
{ | |
pts[2] = pta[2]; | |
pts[3] = pta[3]; | |
} | |
if (cmp(&pts[1], &pts[2]) <= 0) | |
{ | |
pta[0] = pts[0]; | |
pta[1] = pts[1]; | |
pta[2] = pts[2]; | |
pta[3] = pts[3]; | |
} | |
else if (cmp(&pts[0], &pts[3]) > 0) | |
{ | |
pta[0] = pts[2]; | |
pta[1] = pts[3]; | |
pta[2] = pts[0]; | |
pta[3] = pts[1]; | |
} | |
else if (cmp(&pts[0], &pts[2]) > 0) | |
{ | |
pta[0] = pts[2]; | |
pta[1] = pts[0]; | |
if (cmp(&pts[1], &pts[3]) > 0) | |
{ | |
pta[2] = pts[3]; | |
pta[3] = pts[1]; | |
} | |
else | |
{ | |
pta[2] = pts[1]; | |
pta[3] = pts[3]; | |
} | |
} | |
else | |
{ | |
pta[0] = pts[0]; | |
pta[1] = pts[2]; | |
if (cmp(&pts[1], &pts[3]) > 0) | |
{ | |
pta[2] = pts[3]; | |
pta[3] = pts[1]; | |
} | |
else | |
{ | |
pta[2] = pts[1]; | |
pta[3] = pts[3]; | |
} | |
} | |
pta += 4; | |
} | |
if (offset < nmemb) | |
{ | |
tail_sort32(pta, nmemb - offset, cmp); | |
} | |
} | |
void quad_sort32(void *array, void *swap, size_t nmemb, CMPFUNC *cmp) | |
{ | |
size_t offset, block = 4; | |
register int *pta, *pts, *c, *c_max, *d, *d_max, *end; | |
end = (int *) array + nmemb; | |
while (block < nmemb) | |
{ | |
offset = 0; | |
while (offset + block < nmemb) | |
{ | |
pta = (int *) array + offset; | |
d_max = pta + block; | |
if (cmp(d_max - 1, d_max) <= 0) | |
{ | |
if (offset + block * 3 < nmemb) | |
{ | |
d_max = pta + block * 2; | |
if (cmp(d_max - 1, d_max) <= 0) | |
{ | |
d_max = pta + block * 3; | |
if (cmp(d_max - 1, d_max) <= 0) | |
{ | |
offset += block * 4; | |
continue; | |
} | |
} | |
} | |
else if (offset + block * 2 < nmemb) | |
{ | |
d_max = pta + block * 2; | |
if (cmp(d_max - 1, d_max) <= 0) | |
{ | |
offset += block * 4; | |
continue; | |
} | |
} | |
else | |
{ | |
offset += block * 4; | |
continue; | |
} | |
} | |
pts = (int *) swap; | |
c = pta; | |
c_max = pta + block; | |
d = c_max; | |
d_max = offset + block * 2 <= nmemb ? d + block : end; | |
if (cmp(c_max - 1, d_max - 1) <= 0) | |
{ | |
while (c < c_max) | |
{ | |
while (cmp(c, d) > 0) | |
{ | |
*pts++ = *d++; | |
} | |
*pts++ = *c++; | |
} | |
while (d < d_max) | |
*pts++ = *d++; | |
} | |
else if (cmp(c, d_max - 1) > 0) | |
{ | |
while (d < d_max) | |
*pts++ = *d++; | |
while (c < c_max) | |
*pts++ = *c++; | |
} | |
else | |
{ | |
while (d < d_max) | |
{ | |
while (cmp(c, d) <= 0) | |
{ | |
*pts++ = *c++; | |
} | |
*pts++ = *d++; | |
} | |
while (c < c_max) | |
{ | |
*pts++ = *c++; | |
} | |
} | |
if (offset + block * 2 < nmemb) | |
{ | |
c = pta + block * 2; | |
if (offset + block * 3 < nmemb) | |
{ | |
c_max = c + block; | |
d = c_max; | |
d_max = offset + block * 4 <= nmemb ? d + block : end; | |
if (cmp(c_max - 1, d_max - 1) <= 0) | |
{ | |
while (c < c_max) | |
{ | |
while (cmp(c, d) > 0) | |
{ | |
*pts++ = *d++; | |
} | |
*pts++ = *c++; | |
} | |
while (d < d_max) | |
*pts++ = *d++; | |
} | |
else if (cmp(c, d_max - 1) > 0) | |
{ | |
while (d < d_max) | |
*pts++ = *d++; | |
while (c < c_max) | |
*pts++ = *c++; | |
} | |
else | |
{ | |
while (d < d_max) | |
{ | |
while (cmp(c, d) <= 0) | |
{ | |
*pts++ = *c++; | |
} | |
*pts++ = *d++; | |
} | |
while (c < c_max) | |
*pts++ = *c++; | |
} | |
} | |
else | |
{ | |
while (c < end) | |
*pts++ = *c++; | |
} | |
} | |
pts = (int *) swap; | |
c = pts; | |
if (offset + block * 2 < nmemb) | |
{ | |
c_max = c + block * 2; | |
d = c_max; | |
d_max = offset + block * 4 <= nmemb ? d + block * 2 : pts + nmemb - offset; | |
if (cmp(c_max - 1, d_max - 1) <= 0) | |
{ | |
while (c < c_max) | |
{ | |
while (cmp(c, d) > 0) | |
{ | |
*pta++ = *d++; | |
} | |
*pta++ = *c++; | |
} | |
while (d < d_max) | |
*pta++ = *d++; | |
} | |
else if (cmp(c, d_max - 1) > 0) | |
{ | |
while (d < d_max) | |
*pta++ = *d++; | |
while (c < c_max) | |
*pta++ = *c++; | |
} | |
else | |
{ | |
while (d < d_max) | |
{ | |
while (cmp(d, c) > 0) | |
{ | |
*pta++ = *c++; | |
} | |
*pta++ = *d++; | |
} | |
while (c < c_max) | |
*pta++ = *c++; | |
} | |
} | |
else | |
{ | |
d_max = pts + nmemb - offset; | |
while (c < d_max) | |
*pta++ = *c++; | |
} | |
offset += block * 4; | |
} | |
block *= 4; | |
} | |
} | |
void quad_sort64(void *array, void *swap, size_t nmemb, CMPFUNC *cmp) | |
{ | |
size_t offset, block = 4; | |
register long long *pta, *pts, *c, *c_max, *d, *d_max, *end; | |
end = (long long *) array + nmemb; | |
while (block < nmemb) | |
{ | |
offset = 0; | |
while (offset + block < nmemb) | |
{ | |
pta = (long long *) array + offset; | |
d_max = pta + block; | |
if (cmp(d_max - 1, d_max) <= 0) | |
{ | |
if (offset + block * 3 < nmemb) | |
{ | |
d_max = pta + block * 2; | |
if (cmp(d_max - 1, d_max) <= 0) | |
{ | |
d_max = pta + block * 3; | |
if (cmp(d_max - 1, d_max) <= 0) | |
{ | |
offset += block * 4; | |
continue; | |
} | |
} | |
} | |
else if (offset + block * 2 < nmemb) | |
{ | |
d_max = pta + block * 2; | |
if (cmp(d_max - 1, d_max) <= 0) | |
{ | |
offset += block * 4; | |
continue; | |
} | |
} | |
else | |
{ | |
offset += block * 4; | |
continue; | |
} | |
} | |
pts = (long long *) swap; | |
c = pta; | |
c_max = pta + block; | |
d = c_max; | |
d_max = offset + block * 2 <= nmemb ? d + block : end; | |
if (cmp(c, d_max - 1) > 0) | |
{ | |
while (d < d_max) | |
*pts++ = *d++; | |
while (c < c_max) | |
*pts++ = *c++; | |
} | |
else | |
{ | |
if (cmp(c_max - 1, d_max - 1) <= 0) | |
{ | |
while (c < c_max) | |
{ | |
while (cmp(c, d) > 0) | |
{ | |
*pts++ = *d++; | |
} | |
*pts++ = *c++; | |
} | |
while (d < d_max) | |
*pts++ = *d++; | |
} | |
else | |
{ | |
while (d < d_max) | |
{ | |
while (cmp(c, d) <= 0) | |
{ | |
*pts++ = *c++; | |
} | |
*pts++ = *d++; | |
} | |
while (c < c_max) | |
{ | |
*pts++ = *c++; | |
} | |
} | |
} | |
if (offset + block * 2 < nmemb) | |
{ | |
c = pta + block * 2; | |
if (offset + block * 3 < nmemb) | |
{ | |
c_max = c + block; | |
d = c_max; | |
d_max = offset + block * 4 <= nmemb ? d + block : end; | |
if (cmp(c, d_max - 1) > 0) | |
{ | |
while (d < d_max) | |
*pts++ = *d++; | |
while (c < c_max) | |
*pts++ = *c++; | |
} | |
else | |
{ | |
if (cmp(c_max - 1, d_max - 1) <= 0) | |
{ | |
while (c < c_max) | |
{ | |
while (cmp(c, d) > 0) | |
{ | |
*pts++ = *d++; | |
} | |
*pts++ = *c++; | |
} | |
while (d < d_max) | |
*pts++ = *d++; | |
} | |
else | |
{ | |
while (d < d_max) | |
{ | |
while (cmp(c, d) <= 0) | |
{ | |
*pts++ = *c++; | |
} | |
*pts++ = *d++; | |
} | |
while (c < c_max) | |
*pts++ = *c++; | |
} | |
} | |
} | |
else | |
{ | |
while (c < end) | |
*pts++ = *c++; | |
} | |
} | |
pts = (long long *) swap; | |
c = pts; | |
if (offset + block * 2 < nmemb) | |
{ | |
c_max = c + block * 2; | |
d = c_max; | |
d_max = offset + block * 4 <= nmemb ? d + block * 2 : pts + nmemb - offset; | |
if (cmp(c, d_max - 1) > 0) | |
{ | |
while (d < d_max) | |
*pta++ = *d++; | |
while (c < c_max) | |
*pta++ = *c++; | |
} | |
else | |
{ | |
if (cmp(c_max - 1, d_max - 1) <= 0) | |
{ | |
while (c < c_max) | |
{ | |
while (cmp(c, d) > 0) | |
{ | |
*pta++ = *d++; | |
} | |
*pta++ = *c++; | |
} | |
while (d < d_max) | |
*pta++ = *d++; | |
} | |
else | |
{ | |
while (d < d_max) | |
{ | |
while (cmp(d, c) > 0) | |
{ | |
*pta++ = *c++; | |
} | |
*pta++ = *d++; | |
} | |
while (c < c_max) | |
*pta++ = *c++; | |
} | |
} | |
} | |
else | |
{ | |
d_max = pts + nmemb - offset; | |
while (c < d_max) | |
*pta++ = *c++; | |
} | |
offset += block * 4; | |
} | |
block *= 4; | |
} | |
} | |
void quadsort(void *array, size_t nmemb, size_t size, CMPFUNC *cmp) | |
{ | |
void *swap; | |
swap = malloc(nmemb * size); | |
if (size == sizeof(int)) | |
{ | |
quad_swap32(array, swap, nmemb, cmp); | |
quad_sort32(array, swap, nmemb, cmp); | |
} | |
else if (size == sizeof(long long)) | |
{ | |
quad_swap64(array, swap, nmemb, cmp); | |
quad_sort64(array, swap, nmemb, cmp); | |
} | |
else | |
{ | |
assert(size == 4 || size == 8); | |
} | |
free(swap); | |
} | |
int cmp_int(const void * a, const void * b) | |
{ | |
return *(int *) a - *(int *) b; | |
} | |
int cmp_str(const void * a, const void * b) | |
{ | |
return strcmp(*(const char **) a, *(const char **) b); | |
} | |
int cmp_float(const void * a, const void * b) | |
{ | |
return *(float *) a - *(float *) b; | |
} | |
// benchmarking utilities | |
#include <sys/resource.h> | |
#include <sys/time.h> | |
long long utime() | |
{ | |
/* | |
struct timeval now_time; | |
gettimeofday(&now_time, NULL); | |
return now_time.tv_sec * 1000000LL + now_time.tv_usec; | |
*/ | |
struct rusage r; | |
getrusage(RUSAGE_SELF, &r); | |
return (r.ru_utime.tv_sec + r.ru_stime.tv_sec) * 1000000LL + (r.ru_utime.tv_usec + r.ru_stime.tv_usec); | |
} | |
void test_quad(int *z_array, int *r_array, int max, int rep, char *desc) | |
{ | |
long long start, end, total, best; | |
int cnt, sam, stp; | |
best = 0; | |
for (sam = 0 ; sam < 1 ; sam++) | |
{ | |
total = 0; | |
for (stp = 0 ; stp < rep ; stp++) | |
{ | |
memcpy(z_array, r_array, max * sizeof(int)); | |
if (sam == 0 && stp == 0 && max <= 10) printf("\e[1;31m%10d %10d %10d %10d %10d %10d %10d %10d %10d %10d\n", z_array[0], z_array[1], z_array[2], z_array[3], z_array[4], z_array[5], z_array[6], z_array[7], z_array[8], z_array[9]); | |
start = utime(); | |
quadsort(z_array, max, sizeof(int), cmp_int); | |
end = utime(); | |
if (sam == 0 && stp == 0 && max <= 10) printf("\e[1;32m%10d %10d %10d %10d %10d %10d %10d %10d %10d %10d\n", z_array[0], z_array[1], z_array[2], z_array[3], z_array[4], z_array[5], z_array[6], z_array[7], z_array[8], z_array[9]); | |
total += end - start; | |
} | |
if (!best || total < best) | |
{ | |
best = total; | |
} | |
} | |
printf("\e[0m Quad Sort: sorted %d elements in %f seconds. (%s)\n", max, best / 1000000.0, desc); | |
for (cnt = 1 ; cnt < max ; cnt++) if (z_array[cnt - 1] > z_array[cnt]) | |
{ | |
printf(" Quad Sort: not properly sorted at index %d. (%d vs %d\n", cnt, z_array[cnt - 1], z_array[cnt]); | |
break; | |
} | |
} | |
void test_quick(int *z_array, int *r_array, int max, int rep, char *desc) | |
{ | |
long long start, end, total, best; | |
int cnt, sam, stp; | |
best = 0; | |
for (sam = 0 ; sam < 1 ; sam++) | |
{ | |
total = 0; | |
for (stp = 0 ; stp < rep ; stp++) | |
{ | |
memcpy(z_array, r_array, max * sizeof(int)); | |
if (sam == 0 && stp == 0 && max <= 10) printf("\e[1;31m%10d %10d %10d %10d %10d %10d %10d %10d %10d %10d\n", z_array[0], z_array[1], z_array[2], z_array[3], z_array[4], z_array[5], z_array[6], z_array[7], z_array[8], z_array[9]); | |
start = utime(); | |
qsort(z_array, max, sizeof(int), cmp_int); | |
end = utime(); | |
if (sam == 0 && stp == 0 && max <= 10) printf("\e[1;32m%10d %10d %10d %10d %10d %10d %10d %10d %10d %10d\n", z_array[0], z_array[1], z_array[2], z_array[3], z_array[4], z_array[5], z_array[6], z_array[7], z_array[8], z_array[9]); | |
total += end - start; | |
} | |
if (!best || total < best) | |
{ | |
best = total; | |
} | |
} | |
printf("\e[0m Quick Sort: sorted %d elements in %f seconds. (%s)\n", max, best / 1000000.0, desc); | |
for (cnt = 1 ; cnt < max ; cnt++) if (z_array[cnt - 1] > z_array[cnt]) | |
{ | |
printf(" Quick Sort: not properly sorted at index %d. (%d vs %d\n", cnt, z_array[cnt - 1], z_array[cnt]); | |
break; | |
} | |
} | |
#include "ksort.h" | |
KSORT_INIT_GENERIC(int) | |
#define rs_key(x) (x) | |
KRADIX_SORT_INIT(int, int, rs_key, 4) | |
void test_introsort(int *z_array, int *r_array, int max, int rep, char *desc) | |
{ | |
long long start, end, total, best; | |
int cnt, sam, stp; | |
best = 0; | |
for (sam = 0 ; sam < 1 ; sam++) | |
{ | |
total = 0; | |
for (stp = 0 ; stp < rep ; stp++) | |
{ | |
memcpy(z_array, r_array, max * sizeof(int)); | |
if (sam == 0 && stp == 0 && max <= 10) printf("\e[1;31m%10d %10d %10d %10d %10d %10d %10d %10d %10d %10d\n", z_array[0], z_array[1], z_array[2], z_array[3], z_array[4], z_array[5], z_array[6], z_array[7], z_array[8], z_array[9]); | |
start = utime(); | |
ks_introsort(int, max, z_array); | |
end = utime(); | |
if (sam == 0 && stp == 0 && max <= 10) printf("\e[1;32m%10d %10d %10d %10d %10d %10d %10d %10d %10d %10d\n", z_array[0], z_array[1], z_array[2], z_array[3], z_array[4], z_array[5], z_array[6], z_array[7], z_array[8], z_array[9]); | |
total += end - start; | |
} | |
if (!best || total < best) | |
{ | |
best = total; | |
} | |
} | |
printf("\e[0m introsort: sorted %d elements in %f seconds. (%s)\n", max, best / 1000000.0, desc); | |
for (cnt = 1 ; cnt < max ; cnt++) if (z_array[cnt - 1] > z_array[cnt]) | |
{ | |
printf(" Quick Sort: not properly sorted at index %d. (%d vs %d\n", cnt, z_array[cnt - 1], z_array[cnt]); | |
break; | |
} | |
} | |
void test_mergesort(int *z_array, int *r_array, int max, int rep, char *desc) | |
{ | |
long long start, end, total, best; | |
int cnt, sam, stp; | |
best = 0; | |
for (sam = 0 ; sam < 1 ; sam++) | |
{ | |
total = 0; | |
for (stp = 0 ; stp < rep ; stp++) | |
{ | |
memcpy(z_array, r_array, max * sizeof(int)); | |
if (sam == 0 && stp == 0 && max <= 10) printf("\e[1;31m%10d %10d %10d %10d %10d %10d %10d %10d %10d %10d\n", z_array[0], z_array[1], z_array[2], z_array[3], z_array[4], z_array[5], z_array[6], z_array[7], z_array[8], z_array[9]); | |
start = utime(); | |
ks_mergesort(int, max, z_array, 0); | |
end = utime(); | |
if (sam == 0 && stp == 0 && max <= 10) printf("\e[1;32m%10d %10d %10d %10d %10d %10d %10d %10d %10d %10d\n", z_array[0], z_array[1], z_array[2], z_array[3], z_array[4], z_array[5], z_array[6], z_array[7], z_array[8], z_array[9]); | |
total += end - start; | |
} | |
if (!best || total < best) | |
{ | |
best = total; | |
} | |
} | |
printf("\e[0m mergesort: sorted %d elements in %f seconds. (%s)\n", max, best / 1000000.0, desc); | |
for (cnt = 1 ; cnt < max ; cnt++) if (z_array[cnt - 1] > z_array[cnt]) | |
{ | |
printf(" Quick Sort: not properly sorted at index %d. (%d vs %d\n", cnt, z_array[cnt - 1], z_array[cnt]); | |
break; | |
} | |
} | |
void test_radixsort(int *z_array, int *r_array, int max, int rep, char *desc) | |
{ | |
long long start, end, total, best; | |
int cnt, sam, stp; | |
best = 0; | |
for (sam = 0 ; sam < 1 ; sam++) | |
{ | |
total = 0; | |
for (stp = 0 ; stp < rep ; stp++) | |
{ | |
memcpy(z_array, r_array, max * sizeof(int)); | |
if (sam == 0 && stp == 0 && max <= 10) printf("\e[1;31m%10d %10d %10d %10d %10d %10d %10d %10d %10d %10d\n", z_array[0], z_array[1], z_array[2], z_array[3], z_array[4], z_array[5], z_array[6], z_array[7], z_array[8], z_array[9]); | |
start = utime(); | |
radix_sort_int(z_array, z_array + max); | |
end = utime(); | |
if (sam == 0 && stp == 0 && max <= 10) printf("\e[1;32m%10d %10d %10d %10d %10d %10d %10d %10d %10d %10d\n", z_array[0], z_array[1], z_array[2], z_array[3], z_array[4], z_array[5], z_array[6], z_array[7], z_array[8], z_array[9]); | |
total += end - start; | |
} | |
if (!best || total < best) | |
{ | |
best = total; | |
} | |
} | |
printf("\e[0m radixsort: sorted %d elements in %f seconds. (%s)\n", max, best / 1000000.0, desc); | |
for (cnt = 1 ; cnt < max ; cnt++) if (z_array[cnt - 1] > z_array[cnt]) | |
{ | |
printf(" Quick Sort: not properly sorted at index %d. (%d vs %d\n", cnt, z_array[cnt - 1], z_array[cnt]); | |
break; | |
} | |
} | |
int main(int argc, char **argv) | |
{ | |
static int max = 10000000; | |
static int rep = 1; | |
int cnt, rnd; | |
int *z_array, *r_array; | |
rnd = 1; | |
srand(rnd); | |
z_array = malloc(max * sizeof(int)); | |
r_array = malloc(max * sizeof(int)); | |
srand(rnd); | |
for (cnt = 0 ; cnt < max ; cnt++) | |
{ | |
r_array[cnt] = rand(); | |
} | |
test_introsort(z_array, r_array, max, rep, "random order"); | |
test_mergesort(z_array, r_array, max, rep, "random order"); | |
test_radixsort(z_array, r_array, max, rep, "random order"); | |
test_quad(z_array, r_array, max, rep, "random order"); | |
test_quick(z_array, r_array, max, rep, "random order"); | |
// test_introsort(z_array, r_array, max, rep, "random order"); | |
printf("\n"); | |
for (cnt = 0 ; cnt < max ; cnt++) | |
{ | |
r_array[cnt] = cnt; | |
} | |
test_introsort(z_array, r_array, max, rep, "forward order"); | |
test_mergesort(z_array, r_array, max, rep, "forward order"); | |
test_radixsort(z_array, r_array, max, rep, "forward order"); | |
test_quad(z_array, r_array, max, rep, "forward order"); | |
test_quick(z_array, r_array, max, rep, "forward order"); | |
printf("\n"); | |
for (cnt = 0 ; cnt < max ; cnt++) | |
{ | |
r_array[cnt] = max - cnt; | |
} | |
test_introsort(z_array, r_array, max, rep, "reverse order"); | |
test_mergesort(z_array, r_array, max, rep, "reverse order"); | |
test_radixsort(z_array, r_array, max, rep, "reverse order"); | |
test_quad(z_array, r_array, max, rep, "reverse order"); | |
test_quick(z_array, r_array, max, rep, "reverse order"); | |
printf("\n"); | |
srand(rnd); | |
for (cnt = 0 ; cnt < max * 3 / 4 ; cnt++) | |
{ | |
r_array[cnt] = cnt; | |
} | |
for (cnt = max * 3 / 4 ; cnt < max ; cnt++) | |
{ | |
r_array[cnt] = rand(); | |
} | |
test_introsort(z_array, r_array, max, rep, "random tail"); | |
test_mergesort(z_array, r_array, max, rep, "random tail"); | |
test_radixsort(z_array, r_array, max, rep, "random tail"); | |
test_quad(z_array, r_array, max, rep, "random tail"); | |
test_quick(z_array, r_array, max, rep, "random tail"); | |
printf("\n"); | |
free(z_array); | |
free(r_array); | |
return 0; | |
} |
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