libstdc++

random_shuffle.h
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1 // -*- C++ -*-
2
3 // Copyright (C) 2007-2013 Free Software Foundation, Inc.
4 //
5 // This file is part of the GNU ISO C++ Library. This library is free
6 // software; you can redistribute it and/or modify it under the terms
7 // of the GNU General Public License as published by the Free Software
8 // Foundation; either version 3, or (at your option) any later
9 // version.
10
11 // This library is distributed in the hope that it will be useful, but
12 // WITHOUT ANY WARRANTY; without even the implied warranty of
13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 // General Public License for more details.
15
16 // Under Section 7 of GPL version 3, you are granted additional
17 // permissions described in the GCC Runtime Library Exception, version
18 // 3.1, as published by the Free Software Foundation.
19
20 // You should have received a copy of the GNU General Public License and
21 // a copy of the GCC Runtime Library Exception along with this program;
22 // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
23 // <http://www.gnu.org/licenses/>.
24
25 /** @file parallel/random_shuffle.h
26 * @brief Parallel implementation of std::random_shuffle().
27 * This file is a GNU parallel extension to the Standard C++ Library.
28 */
29
30 // Written by Johannes Singler.
31
32 #ifndef _GLIBCXX_PARALLEL_RANDOM_SHUFFLE_H
33 #define _GLIBCXX_PARALLEL_RANDOM_SHUFFLE_H 1
34
35 #include <limits>
36 #include <bits/stl_numeric.h>
37 #include <parallel/parallel.h>
38 #include <parallel/random_number.h>
39
40 namespace __gnu_parallel
41 {
42 /** @brief Type to hold the index of a bin.
43 *
44 * Since many variables of this type are allocated, it should be
45 * chosen as small as possible.
46 */
47 typedef unsigned short _BinIndex;
48
49 /** @brief Data known to every thread participating in
50 __gnu_parallel::__parallel_random_shuffle(). */
51 template<typename _RAIter>
52 struct _DRandomShufflingGlobalData
53 {
54 typedef std::iterator_traits<_RAIter> _TraitsType;
55 typedef typename _TraitsType::value_type _ValueType;
56 typedef typename _TraitsType::difference_type _DifferenceType;
57
58 /** @brief Begin iterator of the __source. */
59 _RAIter& _M_source;
60
61 /** @brief Temporary arrays for each thread. */
62 _ValueType** _M_temporaries;
63
64 /** @brief Two-dimensional array to hold the thread-bin distribution.
65 *
66 * Dimensions (_M_num_threads + 1) __x (_M_num_bins + 1). */
67 _DifferenceType** _M_dist;
68
69 /** @brief Start indexes of the threads' __chunks. */
70 _DifferenceType* _M_starts;
71
72 /** @brief Number of the thread that will further process the
73 corresponding bin. */
74 _ThreadIndex* _M_bin_proc;
75
76 /** @brief Number of bins to distribute to. */
77 int _M_num_bins;
78
79 /** @brief Number of bits needed to address the bins. */
80 int _M_num_bits;
81
82 /** @brief Constructor. */
83 _DRandomShufflingGlobalData(_RAIter& __source)
84 : _M_source(__source) { }
85 };
86
87 /** @brief Local data for a thread participating in
88 __gnu_parallel::__parallel_random_shuffle().
89 */
90 template<typename _RAIter, typename _RandomNumberGenerator>
91 struct _DRSSorterPU
92 {
93 /** @brief Number of threads participating in total. */
94 int _M_num_threads;
95
96 /** @brief Begin index for bins taken care of by this thread. */
97 _BinIndex _M_bins_begin;
98
99 /** @brief End index for bins taken care of by this thread. */
100 _BinIndex __bins_end;
101
102 /** @brief Random _M_seed for this thread. */
103 uint32_t _M_seed;
104
105 /** @brief Pointer to global data. */
106 _DRandomShufflingGlobalData<_RAIter>* _M_sd;
107 };
108
109 /** @brief Generate a random number in @c [0,2^__logp).
110 * @param __logp Logarithm (basis 2) of the upper range __bound.
111 * @param __rng Random number generator to use.
112 */
113 template<typename _RandomNumberGenerator>
114 inline int
115 __random_number_pow2(int __logp, _RandomNumberGenerator& __rng)
116 { return __rng.__genrand_bits(__logp); }
117
118 /** @brief Random shuffle code executed by each thread.
119 * @param __pus Array of thread-local data records. */
120 template<typename _RAIter, typename _RandomNumberGenerator>
121 void
122 __parallel_random_shuffle_drs_pu(_DRSSorterPU<_RAIter,
123 _RandomNumberGenerator>* __pus)
124 {
125 typedef std::iterator_traits<_RAIter> _TraitsType;
126 typedef typename _TraitsType::value_type _ValueType;
127 typedef typename _TraitsType::difference_type _DifferenceType;
128
129 _ThreadIndex __iam = omp_get_thread_num();
130 _DRSSorterPU<_RAIter, _RandomNumberGenerator>* __d = &__pus[__iam];
131 _DRandomShufflingGlobalData<_RAIter>* __sd = __d->_M_sd;
132
133 // Indexing: _M_dist[bin][processor]
134 _DifferenceType __length = (__sd->_M_starts[__iam + 1]
135 - __sd->_M_starts[__iam]);
136 _BinIndex* __oracles = new _BinIndex[__length];
137 _DifferenceType* __dist = new _DifferenceType[__sd->_M_num_bins + 1];
138 _BinIndex* __bin_proc = new _BinIndex[__sd->_M_num_bins];
139 _ValueType** __temporaries = new _ValueType*[__d->_M_num_threads];
140
141 // Compute oracles and count appearances.
142 for (_BinIndex __b = 0; __b < __sd->_M_num_bins + 1; ++__b)
143 __dist[__b] = 0;
144 int __num_bits = __sd->_M_num_bits;
145
146 _RandomNumber __rng(__d->_M_seed);
147
148 // First main loop.
149 for (_DifferenceType __i = 0; __i < __length; ++__i)
150 {
151 _BinIndex __oracle = __random_number_pow2(__num_bits, __rng);
152 __oracles[__i] = __oracle;
153
154 // To allow prefix (partial) sum.
155 ++(__dist[__oracle + 1]);
156 }
157
158 for (_BinIndex __b = 0; __b < __sd->_M_num_bins + 1; ++__b)
159 __sd->_M_dist[__b][__iam + 1] = __dist[__b];
160
161 # pragma omp barrier
162
163 # pragma omp single
164 {
165 // Sum up bins, __sd->_M_dist[__s + 1][__d->_M_num_threads] now
166 // contains the total number of items in bin __s
167 for (_BinIndex __s = 0; __s < __sd->_M_num_bins; ++__s)
168 __gnu_sequential::partial_sum(__sd->_M_dist[__s + 1],
169 __sd->_M_dist[__s + 1]
170 + __d->_M_num_threads + 1,
171 __sd->_M_dist[__s + 1]);
172 }
173
174 # pragma omp barrier
175
176 _SequenceIndex __offset = 0, __global_offset = 0;
177 for (_BinIndex __s = 0; __s < __d->_M_bins_begin; ++__s)
178 __global_offset += __sd->_M_dist[__s + 1][__d->_M_num_threads];
179
180 # pragma omp barrier
181
182 for (_BinIndex __s = __d->_M_bins_begin; __s < __d->__bins_end; ++__s)
183 {
184 for (int __t = 0; __t < __d->_M_num_threads + 1; ++__t)
185 __sd->_M_dist[__s + 1][__t] += __offset;
186 __offset = __sd->_M_dist[__s + 1][__d->_M_num_threads];
187 }
188
189 __sd->_M_temporaries[__iam] = static_cast<_ValueType*>
190 (::operator new(sizeof(_ValueType) * __offset));
191
192 # pragma omp barrier
193
194 // Draw local copies to avoid false sharing.
195 for (_BinIndex __b = 0; __b < __sd->_M_num_bins + 1; ++__b)
196 __dist[__b] = __sd->_M_dist[__b][__iam];
197 for (_BinIndex __b = 0; __b < __sd->_M_num_bins; ++__b)
198 __bin_proc[__b] = __sd->_M_bin_proc[__b];
199 for (_ThreadIndex __t = 0; __t < __d->_M_num_threads; ++__t)
200 __temporaries[__t] = __sd->_M_temporaries[__t];
201
202 _RAIter __source = __sd->_M_source;
203 _DifferenceType __start = __sd->_M_starts[__iam];
204
205 // Distribute according to oracles, second main loop.
206 for (_DifferenceType __i = 0; __i < __length; ++__i)
207 {
208 _BinIndex __target_bin = __oracles[__i];
209 _ThreadIndex __target_p = __bin_proc[__target_bin];
210
211 // Last column [__d->_M_num_threads] stays unchanged.
212 ::new(&(__temporaries[__target_p][__dist[__target_bin + 1]++]))
213 _ValueType(*(__source + __i + __start));
214 }
215
216 delete[] __oracles;
217 delete[] __dist;
218 delete[] __bin_proc;
219 delete[] __temporaries;
220
221 # pragma omp barrier
222
223 // Shuffle bins internally.
224 for (_BinIndex __b = __d->_M_bins_begin; __b < __d->__bins_end; ++__b)
225 {
226 _ValueType* __begin =
227 (__sd->_M_temporaries[__iam]
228 + (__b == __d->_M_bins_begin
229 ? 0 : __sd->_M_dist[__b][__d->_M_num_threads])),
230 *__end = (__sd->_M_temporaries[__iam]
231 + __sd->_M_dist[__b + 1][__d->_M_num_threads]);
232
233 __sequential_random_shuffle(__begin, __end, __rng);
234 std::copy(__begin, __end, __sd->_M_source + __global_offset
235 + (__b == __d->_M_bins_begin
236 ? 0 : __sd->_M_dist[__b][__d->_M_num_threads]));
237 }
238
239 for (_SequenceIndex __i = 0; __i < __offset; ++__i)
240 __sd->_M_temporaries[__iam][__i].~_ValueType();
241 ::operator delete(__sd->_M_temporaries[__iam]);
242 }
243
244 /** @brief Round up to the next greater power of 2.
245 * @param __x _Integer to round up */
246 template<typename _Tp>
247 _Tp
248 __round_up_to_pow2(_Tp __x)
249 {
250 if (__x <= 1)
251 return 1;
252 else
253 return (_Tp)1 << (__rd_log2(__x - 1) + 1);
254 }
255
256 /** @brief Main parallel random shuffle step.
257 * @param __begin Begin iterator of sequence.
258 * @param __end End iterator of sequence.
259 * @param __n Length of sequence.
260 * @param __num_threads Number of threads to use.
261 * @param __rng Random number generator to use.
262 */
263 template<typename _RAIter, typename _RandomNumberGenerator>
264 void
265 __parallel_random_shuffle_drs(_RAIter __begin, _RAIter __end,
266 typename std::iterator_traits
267 <_RAIter>::difference_type __n,
268 _ThreadIndex __num_threads,
269 _RandomNumberGenerator& __rng)
270 {
271 typedef std::iterator_traits<_RAIter> _TraitsType;
272 typedef typename _TraitsType::value_type _ValueType;
273 typedef typename _TraitsType::difference_type _DifferenceType;
274
275 _GLIBCXX_CALL(__n)
276
277 const _Settings& __s = _Settings::get();
278
279 if (__num_threads > __n)
280 __num_threads = static_cast<_ThreadIndex>(__n);
281
282 _BinIndex __num_bins, __num_bins_cache;
283
284 #if _GLIBCXX_RANDOM_SHUFFLE_CONSIDER_L1
285 // Try the L1 cache first.
286
287 // Must fit into L1.
288 __num_bins_cache =
289 std::max<_DifferenceType>(1, __n / (__s.L1_cache_size_lb
290 / sizeof(_ValueType)));
291 __num_bins_cache = __round_up_to_pow2(__num_bins_cache);
292
293 // No more buckets than TLB entries, power of 2
294 // Power of 2 and at least one element per bin, at most the TLB size.
295 __num_bins = std::min<_DifferenceType>(__n, __num_bins_cache);
296
297 #if _GLIBCXX_RANDOM_SHUFFLE_CONSIDER_TLB
298 // 2 TLB entries needed per bin.
299 __num_bins = std::min<_DifferenceType>(__s.TLB_size / 2, __num_bins);
300 #endif
301 __num_bins = __round_up_to_pow2(__num_bins);
302
303 if (__num_bins < __num_bins_cache)
304 {
305 #endif
306 // Now try the L2 cache
307 // Must fit into L2
308 __num_bins_cache = static_cast<_BinIndex>
309 (std::max<_DifferenceType>(1, __n / (__s.L2_cache_size
310 / sizeof(_ValueType))));
311 __num_bins_cache = __round_up_to_pow2(__num_bins_cache);
312
313 // No more buckets than TLB entries, power of 2.
314 __num_bins = static_cast<_BinIndex>
315 (std::min(__n, static_cast<_DifferenceType>(__num_bins_cache)));
316 // Power of 2 and at least one element per bin, at most the TLB size.
317 #if _GLIBCXX_RANDOM_SHUFFLE_CONSIDER_TLB
318 // 2 TLB entries needed per bin.
319 __num_bins = std::min(static_cast<_DifferenceType>(__s.TLB_size / 2),
320 __num_bins);
321 #endif
322 __num_bins = __round_up_to_pow2(__num_bins);
323 #if _GLIBCXX_RANDOM_SHUFFLE_CONSIDER_L1
324 }
325 #endif
326
327 __num_bins = __round_up_to_pow2(
328 std::max<_BinIndex>(__num_threads, __num_bins));
329
330 if (__num_threads <= 1)
331 {
332 _RandomNumber __derived_rng(
333 __rng(std::numeric_limits<uint32_t>::max()));
334 __sequential_random_shuffle(__begin, __end, __derived_rng);
335 return;
336 }
337
338 _DRandomShufflingGlobalData<_RAIter> __sd(__begin);
339 _DRSSorterPU<_RAIter, _RandomNumber >* __pus;
340 _DifferenceType* __starts;
341
342 # pragma omp parallel num_threads(__num_threads)
343 {
344 _ThreadIndex __num_threads = omp_get_num_threads();
345 # pragma omp single
346 {
347 __pus = new _DRSSorterPU<_RAIter, _RandomNumber>[__num_threads];
348
349 __sd._M_temporaries = new _ValueType*[__num_threads];
350 __sd._M_dist = new _DifferenceType*[__num_bins + 1];
351 __sd._M_bin_proc = new _ThreadIndex[__num_bins];
352 for (_BinIndex __b = 0; __b < __num_bins + 1; ++__b)
353 __sd._M_dist[__b] = new _DifferenceType[__num_threads + 1];
354 for (_BinIndex __b = 0; __b < (__num_bins + 1); ++__b)
355 {
356 __sd._M_dist[0][0] = 0;
357 __sd._M_dist[__b][0] = 0;
358 }
359 __starts = __sd._M_starts = new _DifferenceType[__num_threads + 1];
360 int __bin_cursor = 0;
361 __sd._M_num_bins = __num_bins;
362 __sd._M_num_bits = __rd_log2(__num_bins);
363
364 _DifferenceType __chunk_length = __n / __num_threads,
365 __split = __n % __num_threads,
366 __start = 0;
367 _DifferenceType __bin_chunk_length = __num_bins / __num_threads,
368 __bin_split = __num_bins % __num_threads;
369 for (_ThreadIndex __i = 0; __i < __num_threads; ++__i)
370 {
371 __starts[__i] = __start;
372 __start += (__i < __split
373 ? (__chunk_length + 1) : __chunk_length);
374 int __j = __pus[__i]._M_bins_begin = __bin_cursor;
375
376 // Range of bins for this processor.
377 __bin_cursor += (__i < __bin_split
378 ? (__bin_chunk_length + 1)
379 : __bin_chunk_length);
380 __pus[__i].__bins_end = __bin_cursor;
381 for (; __j < __bin_cursor; ++__j)
382 __sd._M_bin_proc[__j] = __i;
383 __pus[__i]._M_num_threads = __num_threads;
384 __pus[__i]._M_seed = __rng(std::numeric_limits<uint32_t>::max());
385 __pus[__i]._M_sd = &__sd;
386 }
387 __starts[__num_threads] = __start;
388 } //single
389 // Now shuffle in parallel.
390 __parallel_random_shuffle_drs_pu(__pus);
391 } // parallel
392
393 delete[] __starts;
394 delete[] __sd._M_bin_proc;
395 for (int __s = 0; __s < (__num_bins + 1); ++__s)
396 delete[] __sd._M_dist[__s];
397 delete[] __sd._M_dist;
398 delete[] __sd._M_temporaries;
399
400 delete[] __pus;
401 }
402
403 /** @brief Sequential cache-efficient random shuffle.
404 * @param __begin Begin iterator of sequence.
405 * @param __end End iterator of sequence.
406 * @param __rng Random number generator to use.
407 */
408 template<typename _RAIter, typename _RandomNumberGenerator>
409 void
410 __sequential_random_shuffle(_RAIter __begin, _RAIter __end,
411 _RandomNumberGenerator& __rng)
412 {
413 typedef std::iterator_traits<_RAIter> _TraitsType;
414 typedef typename _TraitsType::value_type _ValueType;
415 typedef typename _TraitsType::difference_type _DifferenceType;
416
417 _DifferenceType __n = __end - __begin;
418 const _Settings& __s = _Settings::get();
419
420 _BinIndex __num_bins, __num_bins_cache;
421
422 #if _GLIBCXX_RANDOM_SHUFFLE_CONSIDER_L1
423 // Try the L1 cache first, must fit into L1.
424 __num_bins_cache = std::max<_DifferenceType>
425 (1, __n / (__s.L1_cache_size_lb / sizeof(_ValueType)));
426 __num_bins_cache = __round_up_to_pow2(__num_bins_cache);
427
428 // No more buckets than TLB entries, power of 2
429 // Power of 2 and at least one element per bin, at most the TLB size
430 __num_bins = std::min(__n, (_DifferenceType)__num_bins_cache);
431 #if _GLIBCXX_RANDOM_SHUFFLE_CONSIDER_TLB
432 // 2 TLB entries needed per bin
433 __num_bins = std::min((_DifferenceType)__s.TLB_size / 2, __num_bins);
434 #endif
435 __num_bins = __round_up_to_pow2(__num_bins);
436
437 if (__num_bins < __num_bins_cache)
438 {
439 #endif
440 // Now try the L2 cache, must fit into L2.
441 __num_bins_cache = static_cast<_BinIndex>
442 (std::max<_DifferenceType>(1, __n / (__s.L2_cache_size
443 / sizeof(_ValueType))));
444 __num_bins_cache = __round_up_to_pow2(__num_bins_cache);
445
446 // No more buckets than TLB entries, power of 2
447 // Power of 2 and at least one element per bin, at most the TLB size.
448 __num_bins = static_cast<_BinIndex>
449 (std::min(__n, static_cast<_DifferenceType>(__num_bins_cache)));
450
451 #if _GLIBCXX_RANDOM_SHUFFLE_CONSIDER_TLB
452 // 2 TLB entries needed per bin
453 __num_bins = std::min<_DifferenceType>(__s.TLB_size / 2, __num_bins);
454 #endif
455 __num_bins = __round_up_to_pow2(__num_bins);
456 #if _GLIBCXX_RANDOM_SHUFFLE_CONSIDER_L1
457 }
458 #endif
459
460 int __num_bits = __rd_log2(__num_bins);
461
462 if (__num_bins > 1)
463 {
464 _ValueType* __target =
465 static_cast<_ValueType*>(::operator new(sizeof(_ValueType) * __n));
466 _BinIndex* __oracles = new _BinIndex[__n];
467 _DifferenceType* __dist0 = new _DifferenceType[__num_bins + 1],
468 * __dist1 = new _DifferenceType[__num_bins + 1];
469
470 for (int __b = 0; __b < __num_bins + 1; ++__b)
471 __dist0[__b] = 0;
472
473 _RandomNumber __bitrng(__rng(0xFFFFFFFF));
474
475 for (_DifferenceType __i = 0; __i < __n; ++__i)
476 {
477 _BinIndex __oracle = __random_number_pow2(__num_bits, __bitrng);
478 __oracles[__i] = __oracle;
479
480 // To allow prefix (partial) sum.
481 ++(__dist0[__oracle + 1]);
482 }
483
484 // Sum up bins.
485 __gnu_sequential::partial_sum(__dist0, __dist0 + __num_bins + 1,
486 __dist0);
487
488 for (int __b = 0; __b < __num_bins + 1; ++__b)
489 __dist1[__b] = __dist0[__b];
490
491 // Distribute according to oracles.
492 for (_DifferenceType __i = 0; __i < __n; ++__i)
493 ::new(&(__target[(__dist0[__oracles[__i]])++]))
494 _ValueType(*(__begin + __i));
495
496 for (int __b = 0; __b < __num_bins; ++__b)
497 __sequential_random_shuffle(__target + __dist1[__b],
498 __target + __dist1[__b + 1], __rng);
499
500 // Copy elements back.
501 std::copy(__target, __target + __n, __begin);
502
503 delete[] __dist0;
504 delete[] __dist1;
505 delete[] __oracles;
506
507 for (_DifferenceType __i = 0; __i < __n; ++__i)
508 __target[__i].~_ValueType();
509 ::operator delete(__target);
510 }
511 else
512 __gnu_sequential::random_shuffle(__begin, __end, __rng);
513 }
514
515 /** @brief Parallel random public call.
516 * @param __begin Begin iterator of sequence.
517 * @param __end End iterator of sequence.
518 * @param __rng Random number generator to use.
519 */
520 template<typename _RAIter, typename _RandomNumberGenerator>
521 inline void
522 __parallel_random_shuffle(_RAIter __begin, _RAIter __end,
523 _RandomNumberGenerator __rng = _RandomNumber())
524 {
525 typedef std::iterator_traits<_RAIter> _TraitsType;
526 typedef typename _TraitsType::difference_type _DifferenceType;
527 _DifferenceType __n = __end - __begin;
528 __parallel_random_shuffle_drs(__begin, __end, __n,
529 __get_max_threads(), __rng);
530 }
531 }
532
533 #endif /* _GLIBCXX_PARALLEL_RANDOM_SHUFFLE_H */