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1 | /****************************************************************************/ |
2 | /*- | |
3 | * Copyright (c) 1992, 1993 | |
4 | * The Regents of the University of California. All rights reserved. | |
5 | * | |
6 | * Redistribution and use in source and binary forms, with or without | |
7 | * modification, are permitted provided that the following conditions | |
8 | * are met: | |
9 | * 1. Redistributions of source code must retain the above copyright | |
10 | * notice, this list of conditions and the following disclaimer. | |
11 | * 2. Redistributions in binary form must reproduce the above copyright | |
12 | * notice, this list of conditions and the following disclaimer in the | |
13 | * documentation and/or other materials provided with the distribution. | |
14 | * 4. Neither the name of the University nor the names of its contributors | |
15 | * may be used to endorse or promote products derived from this software | |
16 | * without specific prior written permission. | |
17 | * | |
18 | * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND | |
19 | * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | |
20 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | |
21 | * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE | |
22 | * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL | |
23 | * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS | |
24 | * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | |
25 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | |
26 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY | |
27 | * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF | |
28 | * SUCH DAMAGE. | |
29 | */ | |
30 | ||
31 | #if defined(LIBC_SCCS) && !defined(lint) | |
32 | static char sccsid[] = "@(#)qsort.c 8.1 (Berkeley) 6/4/93"; | |
33 | #endif /* LIBC_SCCS and not lint */ | |
34 | #include <sys/cdefs.h> | |
35 | __FBSDID("$FreeBSD: src/lib/libc/stdlib/qsort.c,v 1.15 2008/01/14 09:21:34 das Exp $"); | |
36 | ||
37 | #include <stdlib.h> | |
38 | #include <pthread.h> | |
39 | #include <dispatch/dispatch.h> | |
40 | #include <stddef.h> | |
41 | #include <string.h> | |
42 | #include <libkern/OSAtomic.h> | |
43 | #include <sys/mman.h> | |
44 | #include <errno.h> | |
45 | #define __APPLE_API_PRIVATE | |
46 | #include <machine/cpu_capabilities.h> | |
47 | ||
48 | #ifdef I_AM_PSORT_R | |
49 | typedef int cmp_t(void *, const void *, const void *); | |
50 | #else | |
51 | typedef int cmp_t(const void *, const void *); | |
52 | #endif | |
53 | #ifdef I_AM_PSORT_B | |
54 | static inline char *med3(char *, char *, char *, cmp_t ^, void *) __attribute__((always_inline)); | |
55 | #else | |
56 | static inline char *med3(char *, char *, char *, cmp_t *, void *) __attribute__((always_inline)); | |
57 | #endif | |
58 | static inline void swapfunc(char *, char *, int, int) __attribute__((always_inline)); | |
59 | ||
60 | #define min(a, b) (a) < (b) ? a : b | |
61 | ||
62 | #define NARGS ((PAGESIZE - offsetof(struct page, args)) / sizeof(union args)) | |
63 | #define PAGESIZE 4096 | |
64 | #define PARALLEL_MIN_SIZE 2000 /* determine heuristically */ | |
65 | ||
66 | struct shared; /* forward reference */ | |
67 | union args { | |
68 | union args *next; | |
69 | struct { | |
70 | struct shared *shared; | |
71 | void *a; | |
72 | size_t n; | |
73 | int depth_limit; | |
74 | } /* anonymous */; | |
75 | }; | |
76 | ||
77 | struct page { | |
78 | struct page *next; | |
79 | union args args[0]; | |
80 | }; | |
81 | ||
82 | struct shared { | |
83 | char *who; | |
84 | union args *freelist; | |
85 | struct page *pagelist; | |
86 | #ifdef I_AM_PSORT_R | |
87 | void *thunk; | |
88 | #endif | |
89 | #ifdef I_AM_PSORT_B | |
90 | cmp_t ^cmp; | |
91 | #else | |
92 | cmp_t *cmp; | |
93 | #endif | |
94 | size_t es; | |
95 | size_t turnoff; | |
96 | dispatch_queue_t queue; | |
97 | dispatch_group_t group; | |
98 | OSSpinLock sharedlock; | |
99 | }; | |
100 | ||
101 | static union args * | |
102 | getargs(struct shared *shared) | |
103 | { | |
104 | union args *args; | |
105 | ||
106 | OSSpinLockLock(&shared->sharedlock); | |
107 | if(!shared->freelist) { | |
108 | struct page *page; | |
109 | union args *prev; | |
110 | int i; | |
111 | if((page = (struct page *)mmap(NULL, PAGESIZE, PROT_READ|PROT_WRITE, MAP_ANON|MAP_PRIVATE, -1, 0)) == NULL) | |
112 | return NULL; | |
113 | page->next = shared->pagelist; | |
114 | shared->pagelist = page; | |
115 | prev = NULL; | |
116 | for(args = page->args, i = NARGS; i > 0; args++, i--) { | |
117 | args->next = prev; | |
118 | prev = args; | |
119 | } | |
120 | shared->freelist = prev; | |
121 | } | |
122 | args = shared->freelist; | |
123 | shared->freelist = args->next; | |
124 | OSSpinLockUnlock(&shared->sharedlock); | |
125 | return args; | |
126 | } | |
127 | ||
128 | static void | |
129 | returnargs(struct shared *shared, union args *args) | |
130 | { | |
131 | OSSpinLockLock(&shared->sharedlock); | |
132 | args->next = shared->freelist; | |
133 | shared->freelist = args; | |
134 | OSSpinLockUnlock(&shared->sharedlock); | |
135 | } | |
136 | ||
137 | /* | |
138 | * Qsort routine from Bentley & McIlroy's "Engineering a Sort Function". | |
139 | */ | |
140 | #define swapcode(TYPE, parmi, parmj, n) { \ | |
141 | long i = (n) / sizeof (TYPE); \ | |
142 | TYPE *pi = (TYPE *) (parmi); \ | |
143 | TYPE *pj = (TYPE *) (parmj); \ | |
144 | do { \ | |
145 | TYPE t = *pi; \ | |
146 | *pi++ = *pj; \ | |
147 | *pj++ = t; \ | |
148 | } while (--i > 0); \ | |
149 | } | |
150 | ||
151 | #define SWAPINIT(a, es) swaptype = ((char *)a - (char *)0) % sizeof(long) || \ | |
152 | es % sizeof(long) ? 2 : es == sizeof(long)? 0 : 1; | |
153 | ||
154 | static inline void | |
155 | swapfunc(a, b, n, swaptype) | |
156 | char *a, *b; | |
157 | int n, swaptype; | |
158 | { | |
159 | if(swaptype <= 1) | |
160 | swapcode(long, a, b, n) | |
161 | else | |
162 | swapcode(char, a, b, n) | |
163 | } | |
164 | ||
165 | #define swap(a, b) \ | |
166 | if (swaptype == 0) { \ | |
167 | long t = *(long *)(a); \ | |
168 | *(long *)(a) = *(long *)(b); \ | |
169 | *(long *)(b) = t; \ | |
170 | } else \ | |
171 | swapfunc(a, b, es, swaptype) | |
172 | ||
173 | #define vecswap(a, b, n) if ((n) > 0) swapfunc(a, b, n, swaptype) | |
174 | ||
175 | #ifdef I_AM_PSORT_R | |
176 | #define CMP(t, x, y) (cmp((t), (x), (y))) | |
177 | #else | |
178 | #define CMP(t, x, y) (cmp((x), (y))) | |
179 | #endif | |
180 | ||
181 | static inline char * | |
182 | med3(char *a, char *b, char *c, | |
183 | #ifdef I_AM_PSORT_B | |
184 | cmp_t ^cmp, | |
185 | #else | |
186 | cmp_t *cmp, | |
187 | #endif | |
188 | void *thunk | |
189 | #ifndef I_AM_PSORT_R | |
190 | __unused | |
191 | #endif | |
192 | ) | |
193 | { | |
194 | return CMP(thunk, a, b) < 0 ? | |
195 | (CMP(thunk, b, c) < 0 ? b : (CMP(thunk, a, c) < 0 ? c : a )) | |
196 | :(CMP(thunk, b, c) > 0 ? b : (CMP(thunk, a, c) < 0 ? a : c )); | |
197 | } | |
198 | ||
199 | #ifdef __LP64__ | |
200 | #define DEPTH(x) (2 * (flsl((long)(x)) - 1)) | |
201 | #else /* !__LP64__ */ | |
202 | #define DEPTH(x) (2 * (fls((int)(x)) - 1)) | |
203 | #endif /* __LP64__ */ | |
204 | ||
205 | #ifdef I_AM_PSORT_R | |
206 | int __heapsort_r(void *, size_t, size_t, void *, int (*)(void *, const void *, const void *)); | |
207 | #endif | |
208 | ||
209 | static void _psort_parallel(void *x); | |
210 | ||
211 | static void | |
212 | _psort(void *a, size_t n, size_t es, | |
213 | #ifdef I_AM_PSORT_R | |
214 | void *thunk, | |
215 | #else | |
216 | #define thunk NULL | |
217 | #endif | |
218 | #ifdef I_AM_PSORT_B | |
219 | cmp_t ^cmp, | |
220 | #else | |
221 | cmp_t *cmp, | |
222 | #endif | |
223 | int depth_limit, struct shared *shared) | |
224 | { | |
225 | char *pa, *pb, *pc, *pd, *pl, *pm, *pn; | |
226 | size_t d, r; | |
227 | int cmp_result; | |
228 | int swaptype, swap_cnt; | |
229 | ||
230 | loop: | |
231 | if (depth_limit-- <= 0) { | |
232 | #ifdef I_AM_PSORT_B | |
233 | heapsort_b(a, n, es, cmp); | |
234 | #elif defined(I_AM_PSORT_R) | |
235 | __heapsort_r(a, n, es, thunk, cmp); | |
236 | #else | |
237 | heapsort(a, n, es, cmp); | |
238 | #endif | |
239 | return; | |
240 | } | |
241 | SWAPINIT(a, es); | |
242 | swap_cnt = 0; | |
243 | if (n < 7) { | |
244 | for (pm = (char *)a + es; pm < (char *)a + n * es; pm += es) | |
245 | for (pl = pm; | |
246 | pl > (char *)a && CMP(thunk, pl - es, pl) > 0; | |
247 | pl -= es) | |
248 | swap(pl, pl - es); | |
249 | return; | |
250 | } | |
251 | pm = (char *)a + (n / 2) * es; | |
252 | if (n > 7) { | |
253 | pl = a; | |
254 | pn = (char *)a + (n - 1) * es; | |
255 | if (n > 40) { | |
256 | d = (n / 8) * es; | |
257 | pl = med3(pl, pl + d, pl + 2 * d, cmp, thunk); | |
258 | pm = med3(pm - d, pm, pm + d, cmp, thunk); | |
259 | pn = med3(pn - 2 * d, pn - d, pn, cmp, thunk); | |
260 | } | |
261 | pm = med3(pl, pm, pn, cmp, thunk); | |
262 | } | |
263 | swap(a, pm); | |
264 | pa = pb = (char *)a + es; | |
265 | ||
266 | pc = pd = (char *)a + (n - 1) * es; | |
267 | for (;;) { | |
268 | while (pb <= pc && (cmp_result = CMP(thunk, pb, a)) <= 0) { | |
269 | if (cmp_result == 0) { | |
270 | swap_cnt = 1; | |
271 | swap(pa, pb); | |
272 | pa += es; | |
273 | } | |
274 | pb += es; | |
275 | } | |
276 | while (pb <= pc && (cmp_result = CMP(thunk, pc, a)) >= 0) { | |
277 | if (cmp_result == 0) { | |
278 | swap_cnt = 1; | |
279 | swap(pc, pd); | |
280 | pd -= es; | |
281 | } | |
282 | pc -= es; | |
283 | } | |
284 | if (pb > pc) | |
285 | break; | |
286 | swap(pb, pc); | |
287 | swap_cnt = 1; | |
288 | pb += es; | |
289 | pc -= es; | |
290 | } | |
291 | ||
292 | pn = (char *)a + n * es; | |
293 | r = min(pa - (char *)a, pb - pa); | |
294 | vecswap(a, pb - r, r); | |
295 | r = min(pd - pc, pn - pd - es); | |
296 | vecswap(pb, pn - r, r); | |
297 | ||
298 | if (swap_cnt == 0) { /* Switch to insertion sort */ | |
299 | r = 1 + n / 4; /* n >= 7, so r >= 2 */ | |
300 | for (pm = (char *)a + es; pm < (char *)a + n * es; pm += es) | |
301 | for (pl = pm; | |
302 | pl > (char *)a && CMP(thunk, pl - es, pl) > 0; | |
303 | pl -= es) { | |
304 | swap(pl, pl - es); | |
305 | if (++swap_cnt > r) goto nevermind; | |
306 | } | |
307 | return; | |
308 | } | |
309 | ||
310 | nevermind: | |
311 | if ((r = pb - pa) > es) { | |
312 | r /= es; | |
313 | if (shared && r > shared->turnoff) { | |
314 | union args *args = getargs(shared); | |
315 | ||
316 | if (args == NULL) | |
317 | LIBC_ABORT("%s: getargs: %s", shared->who, strerror(errno)); | |
318 | args->shared = shared; | |
319 | args->a = a; | |
320 | args->n = r; | |
321 | args->depth_limit = depth_limit; | |
322 | dispatch_group_async_f(shared->group, shared->queue, args, | |
323 | _psort_parallel); | |
324 | } else { | |
325 | #ifdef I_AM_PSORT_R | |
326 | _psort(a, r, es, thunk, cmp, depth_limit, NULL); | |
327 | #else | |
328 | _psort(a, r, es, cmp, depth_limit, NULL); | |
329 | #endif | |
330 | } | |
331 | } | |
332 | if ((r = pd - pc) > es) { | |
333 | /* Iterate rather than recurse to save stack space */ | |
334 | a = pn - r; | |
335 | n = r / es; | |
336 | goto loop; | |
337 | } | |
338 | /* psort(pn - r, r / es, es, cmp);*/ | |
339 | } | |
340 | ||
341 | static void | |
342 | _psort_parallel(void *x) | |
343 | { | |
344 | union args *args = (union args *)x; | |
345 | struct shared *shared = args->shared; | |
346 | ||
347 | _psort(args->a, args->n, shared->es, | |
348 | #ifdef I_AM_PSORT_R | |
349 | shared->thunk, | |
350 | #endif | |
351 | shared->cmp, args->depth_limit, shared); | |
352 | returnargs(shared, args); | |
353 | } | |
354 | ||
355 | /* fast, approximate integer square root */ | |
356 | static size_t | |
357 | isqrt(size_t x) | |
358 | { | |
359 | size_t s = 1L << (flsl(x) / 2); | |
360 | return (s + x / s) / 2; | |
361 | } | |
362 | ||
363 | void | |
364 | #ifdef I_AM_PSORT_R | |
365 | psort_r(void *a, size_t n, size_t es, void *thunk, cmp_t *cmp) | |
366 | #elif defined(I_AM_PSORT_B) | |
367 | psort_b(void *a, size_t n, size_t es, cmp_t ^cmp) | |
368 | #else | |
369 | psort(void *a, size_t n, size_t es, cmp_t *cmp) | |
370 | #endif | |
371 | { | |
372 | if (n >= PARALLEL_MIN_SIZE && _NumCPUs() > 1) { | |
373 | struct shared shared; | |
374 | union args *args; | |
375 | ||
376 | bzero(&shared, sizeof(shared)); | |
377 | shared.sharedlock = OS_SPINLOCK_INIT; | |
378 | if ((args = getargs(&shared)) != NULL) { | |
379 | struct page *p, *pp; | |
380 | #ifdef I_AM_PSORT_R | |
381 | shared.who = "psort_r"; | |
382 | shared.thunk = thunk; | |
383 | #elif defined(I_AM_PSORT_B) | |
384 | shared.who = "psort_b"; | |
385 | #else | |
386 | shared.who = "psort"; | |
387 | #endif | |
388 | shared.cmp = cmp; | |
389 | shared.es = es; | |
390 | shared.queue = dispatch_get_global_queue(DISPATCH_QUEUE_PRIORITY_DEFAULT, 0); | |
391 | shared.group = dispatch_group_create(); | |
392 | args->a = a; | |
393 | args->n = n; | |
394 | args->depth_limit = DEPTH(n); | |
395 | args->shared = &shared; | |
396 | /* | |
397 | * The turnoff value is the size of a partition that, | |
398 | * below which, we stop doing in parallel, and just do | |
399 | * in the current thread. The value of sqrt(n) was | |
400 | * determined heuristically. There is a smaller | |
401 | * dependence on the slowness of the comparison | |
402 | * function, and there might be a dependence on the | |
403 | * number of processors, but the algorithm has not been | |
404 | * determined. Because the sensitivity to the turnoff | |
405 | * value is relatively low, we use a fast, approximate | |
406 | * integer square root routine that is good enough for | |
407 | * this purpose. | |
408 | */ | |
409 | shared.turnoff = isqrt(n); | |
410 | _psort_parallel(args); | |
411 | ||
412 | /* wait for queue to drain */ | |
413 | dispatch_group_wait(shared.group, DISPATCH_TIME_FOREVER); | |
414 | dispatch_release(shared.group); | |
415 | for(p = shared.pagelist; p; p = pp) { | |
416 | pp = p->next; | |
417 | munmap(p, PAGESIZE); | |
418 | } | |
419 | return; | |
420 | } | |
421 | } | |
422 | /* Just call qsort */ | |
423 | #ifdef I_AM_PSORT_R | |
424 | qsort_r(a, n, es, thunk, cmp); | |
425 | #elif defined(I_AM_PSORT_B) | |
426 | qsort_b(a, n, es, cmp); | |
427 | #else | |
428 | qsort(a, n, es, cmp); | |
429 | #endif | |
430 | } |