-
Notifications
You must be signed in to change notification settings - Fork 23
/
ksort.h
309 lines (278 loc) · 10.4 KB
/
ksort.h
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
/* The MIT License
Copyright (c) 2008, 2011 Attractive Chaos <[email protected]>
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_heapdown_##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_heapup_##name(size_t n, type_t l[]) \
{ \
size_t i, k = n - 1; \
type_t tmp = l[k]; \
while (k) { \
i = (k - 1) >> 1; \
if (__sort_lt(tmp, l[i])) break; \
l[k] = l[i]; k = i; \
} \
l[k] = 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_heapdown_##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_heapdown_##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)
#endif