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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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 | /* * Copyright (c) 2023 Apple Inc. All rights reserved. * * @APPLE_LICENSE_HEADER_START@ * * This file contains Original Code and/or Modifications of Original Code * as defined in and that are subject to the Apple Public Source License * Version 2.0 (the 'License'). You may not use this file except in * compliance with the License. Please obtain a copy of the License at * http://www.opensource.apple.com/apsl/ and read it before using this * file. * * The Original Code and all software distributed under the License are * distributed on an 'AS IS' basis, WITHOUT WARRANTY OF ANY KIND, EITHER * EXPRESS OR IMPLIED, AND APPLE HEREBY DISCLAIMS ALL SUCH WARRANTIES, * INCLUDING WITHOUT LIMITATION, ANY WARRANTIES OF MERCHANTABILITY, * FITNESS FOR A PARTICULAR PURPOSE, QUIET ENJOYMENT OR NON-INFRINGEMENT. * Please see the License for the specific language governing rights and * limitations under the License. * * @APPLE_LICENSE_HEADER_END@ */ #ifndef Algorithm_h #define Algorithm_h #include <atomic> #include <algorithm> #include <optional> #include <span> #include <dispatch/dispatch.h> #include "Array.h" // A global switch to force all uses of `dispatchApply` to run sequentially instead of in parallel. // This is useful for debugging parallel algorithms. extern bool gSerializeDispatchApply; template<typename T, typename Fn> void dispatchApply(T&& container, Fn fn); constexpr uint64_t defaultMapChunkSize = 0x2000; // mapReduce() is a generalized way to process the entire set of elements in parallel. // It uses a map-reduce style algorithm where the entire set of elements is broken up into // subranges (by default 8192 elements per subrange). In parallel, the subranges are passed // to the 'map' callback along with a T object. The map callback should process the range // of elements and update the results in the T object. Once all elements have been processed, // the 'reduce' callback is called with the full set of T objects. It should then combine // all the information from the Ts. // // Note: since many map callbacks are in flight at the same time, each should only store any // state information in the T object, and not in captured variables. // template<typename ElementTy, typename ChunkTy> inline void mapReduce(std::span<ElementTy> elements, size_t elementsPerChunk, void (^map)(size_t, ChunkTy&, std::span<ElementTy>), void (^reduce)(std::span<ChunkTy>)=nullptr) { if ( elements.empty() ) return; // map: // divvy up all elements into chunks // construct a T object for each chunk // call map(elements range) on each MAP object for a subrange of elements const size_t chunkCount = (elements.size() + (elementsPerChunk - 1)) / elementsPerChunk; const size_t lastChunkIndex = chunkCount - 1; // rdar://130080127 (Inputs with lots of potential duplicate functions may exhaust available stack space) std::unique_ptr<ChunkTy[]> chunksHeapStorage; ChunkTy* chunks = nullptr; constexpr size_t MaxStackAllocaSize = 1 << 17; // limit at 128kb if ( (sizeof(ChunkTy) * chunkCount) <= MaxStackAllocaSize ) { void* space = alloca(sizeof(ChunkTy) * chunkCount); chunks = new (space) ChunkTy[chunkCount]; } else { chunksHeapStorage = std::make_unique<ChunkTy[]>(chunkCount); chunks = chunksHeapStorage.get(); } dispatchApply(std::span(chunks, chunkCount), ^(size_t i, ChunkTy& chunk) { if ( i == lastChunkIndex ) map(i, chunk, elements.subspan(i * elementsPerChunk)); // Run the last chunk with whatever is left over else map(i, chunk, elements.subspan(i * elementsPerChunk, elementsPerChunk)); }); // reduce: if ( reduce ) reduce(std::span<ChunkTy>(chunks, chunkCount)); } template<typename ElementTy, typename Fn> inline void dispatchForEach(std::span<ElementTy> elements, size_t elementsPerChunk, Fn fn) { if ( elements.empty() ) return; // divvy up all elements into chunks // call fn on each subrange of elements const size_t chunkCount = (elements.size() + (elementsPerChunk - 1)) / elementsPerChunk; const size_t lastChunkIndex = chunkCount - 1; dispatchApply(chunkCount, [elements, elementsPerChunk, lastChunkIndex, fn](size_t chunkIndex) { std::span<ElementTy> chunkElements; if ( chunkIndex == lastChunkIndex ) chunkElements = elements.subspan(chunkIndex * elementsPerChunk); // Run the last chunk with whatever is left over else chunkElements = elements.subspan(chunkIndex * elementsPerChunk, elementsPerChunk); size_t chunkStart = chunkIndex * elementsPerChunk; for ( size_t i = 0; i < chunkElements.size(); ++i ) { fn(chunkStart + i, chunkElements[i]); } }); } template<typename ElementTy, typename Fn> inline void dispatchForEach(std::span<ElementTy> elements, Fn fn) { dispatchForEach(elements, defaultMapChunkSize, fn); } template<typename ElementTy, typename ChunkTy> inline void mapReduce(std::span<ElementTy> elements, void (^map)(size_t, ChunkTy&, std::span<ElementTy>), void (^reduce)(std::span<ChunkTy>)=nullptr) { mapReduce(elements, defaultMapChunkSize, map, reduce); } #if 0 // Unused. Leaving it here in case we want to use it for something in future. template<typename ElementTy, typename ChunkTy> inline void mapImmediateReduce(std::span<ElementTy> elements, size_t elementsPerChunk, void (^map)(size_t, ChunkTy&, std::span<ElementTy>), void (^reduce)(ChunkTy&)) { if ( elements.empty() ) return; // map: // divvy up all elements into chunks // construct a T object for each chunk // call map(elements range) on each MAP object for a subrange of elements const size_t chunkCount = (elements.size() + (elementsPerChunk - 1)) / elementsPerChunk; const size_t lastChunkIndex = chunkCount - 1; ChunkTy chunksStorage[chunkCount]; ChunkTy* chunks = chunksStorage; // work around clang bug // Chunks are applied (reduced) immediately when they are the next chunk in order // We'll have a state per chunk and use atomics to compare them // When a chunk is ready, it will be atomically swapped to the ready state std::atomic_bool chunksStateStorage[chunkCount]; std::atomic_bool* chunksState = chunksStateStorage; // work around clang bug for ( uint32_t i = 0; i != chunkCount; ++i ) chunksStateStorage[i].store(false, std::memory_order_relaxed); // Chunk[0] is the next chunk we should apply chunksStateStorage[0].store(true, std::memory_order_relaxed); dispatchApply(std::span(chunks, chunkCount), ^(size_t i, ChunkTy& chunk) { if ( i == lastChunkIndex ) map(i, chunk, elements.subspan(i * elementsPerChunk)); // Run the last chunk with whatever is left over else map(i, chunk, elements.subspan(i * elementsPerChunk, elementsPerChunk)); // Our chunk now has data. So we want to transition to the ready to be reduced state // If we have already been marked as the next chunk to be reduced, then we can immediately reduce now // If we are in the unset state, then just move to the ready state, and some other thread will do the reduce bool expected = false; if ( chunksState[i].compare_exchange_strong(expected, true) ) { // Our chunk wasn't next to be reduced, but we've at least marked it as ready // Some other thread will run reduce on it. } else { // This chunk is the next chunk, so we are going to reduce it size_t chunkIndex = i; while ( true ) { reduce(chunks[chunkIndex]); // Stop if we are out of chunks if ( ++chunkIndex == chunkCount ) break; // Try set the next chunk as being next to be reduced, from the false state // In that succeeds, then we are done here, and some other thread // will see the nextChunk state and handle it expected = false; if ( chunksState[chunkIndex].compare_exchange_strong(expected, true) ) { break; } } } }); } #endif template<typename T, typename Fn> inline void dispatchApply(T&& container, Fn fn) { if constexpr ( std::is_convertible_v<T, size_t> ) { size_t count = container; if ( (count <= 1) || gSerializeDispatchApply ) { for ( size_t i = 0; i < count; ++i ) fn(i); } else { dispatch_apply(count, DISPATCH_APPLY_AUTO, ^(size_t i) { fn(i); }); } } else { if ( (container.size() <= 1) || gSerializeDispatchApply ) { for ( size_t i = 0; i < container.size(); ++i ) fn(i, container[i]); } else { dispatch_apply(container.size(), DISPATCH_APPLY_AUTO, ^(size_t i) { fn(i, container[i]); }); } } } template<typename ValTy> inline void mergeVectorChunks(std::vector<ValTy>& outVec, std::span<std::vector<ValTy>> chunks) { size_t totalSize = 0; for ( auto& chunk : chunks ) { totalSize += chunk.size(); } if ( totalSize == 0 ) return; outVec.reserve(outVec.size() + totalSize); for ( auto& chunk : chunks ) { if ( !chunk.empty() ) outVec.insert(outVec.end(), chunk.begin(), chunk.end()); } } template<typename ValTy> inline void mergeVectorChunks(std::vector<ValTy>& outVec, std::vector<ValTy>* chunks, size_t numChunks, size_t stride) { size_t totalSize = 0; for ( size_t i = 0; i < numChunks; ++i ) { std::vector<ValTy>* chunk = (std::vector<ValTy>*)((uint8_t*)chunks + i * stride); totalSize += chunk->size(); } if ( totalSize == 0 ) return; outVec.reserve(outVec.size() + totalSize); for ( size_t i = 0; i < numChunks; ++i ) { std::vector<ValTy>& chunk = *(std::vector<ValTy>*)((uint8_t*)chunks + i * stride); if ( !chunk.empty() ) outVec.insert(outVec.end(), chunk.begin(), chunk.end()); } } namespace details { // Rturns a pair of iterators of the sorted range or std::nullopt if there are less than two // elements. Result iterators and input iterators form two sub-arrays at // [begin, result.first] and [result.second, end] that need to be sorted by calling // `quicksortPartTasks` recursively or with other algorithm. template <typename It, typename Comp> inline std::optional<std::pair<It, It>> quicksortPartTasks(It begin, It end, Comp comp) { size_t size = std::distance(begin, end); if ( size < 2 ) return std::nullopt; const auto pivot = *(begin + size / 2); auto low = begin - 1; auto high = end; while (true) { do { ++low; } while (comp(*low, pivot)); do { --high; } while (comp(pivot, *high)); if (low >= high) { return std::make_pair(low, high + 1); } std::swap(*low, *high); } } constexpr size_t serialThreshold = 4096; } inline bool shouldUseParallelSort(size_t size) { return size > details::serialThreshold; } // NOTE: This implementation is suitable only for large ranges and when the comparison // is expensive, e.g. strings, so that it can be done in parallel. When sorting a simple // vector of integers the overhead of concurrency and simple quicksort implementation // will be slower than std::sort. // // Parallel sort algorithm based on divide-and-conquer and quicksort algorithm. // Regular quicksort algorithm could be written recursively as: // quicksort(It begin, It end) // if ( distance(begin, end) < 2 ) return // auto pivot = partition(begin, end) // quicksort(begin, pivot) // quicksort(pivot + 1, end) // // This parallel implementation works in the same principle, but instead of // serial recursive execution the subranges created by pivot partition // are gathered into a worklist and processed in parallel. e.g.: // 1. [begin, end] range is partitioned (sequentially) to create // two sub ranges [begin, pivot], [pivot + 1, end] // 2. the 2 subranges are added to the worklist array // and then both will be partitioned concurrently to create // 4 subranges // 3. then the 4 subranges will create 8 new subranges etc. // 4. this will be repeated until the number of elements in a subrange // exceed the details::serialThreshold limit, once the subrange // is smaller than the threshold it will be sorted with std::sort // and that will finish the recursion template <typename It, typename Comp> void parallelSort(It begin, It end, Comp comp) { { size_t size = std::distance(begin, end); if ( size < 2 ) return; if ( !shouldUseParallelSort(size) ) { std::sort(begin, end, comp); return; } } auto startPair = details::quicksortPartTasks(begin, end, comp); if ( !startPair ) return; using TaskTy = std::pair<It, It>; STACK_ALLOC_OVERFLOW_SAFE_ARRAY(TaskTy, nextTasks, 1024); STACK_ALLOC_OVERFLOW_SAFE_ARRAY(TaskTy, currentTasks, 1024); auto* nextTasksPtr = &nextTasks; currentTasks.push_back(std::make_pair(begin, startPair->first)); currentTasks.push_back(std::make_pair(startPair->second, end)); do { nextTasks.resize(currentTasks.count() * 2); std::atomic_size_t nextTasksCount = 0; auto* nextTasksCountPtr = &nextTasksCount; auto doTask = ^(size_t i) { auto curTask = currentTasks[i]; auto pair = details::quicksortPartTasks(curTask.first, curTask.second, comp); if ( pair ) { auto firstSize = std::distance(curTask.first, pair->first); auto secondSize = std::distance(pair->second, curTask.second); bool serialFirst = !shouldUseParallelSort(firstSize); bool serialSecond = !shouldUseParallelSort(secondSize); if ( serialFirst || serialSecond ) { if ( serialFirst ) { std::sort(curTask.first, pair->first, comp); } else { auto idx = nextTasksCountPtr->fetch_add(1, std::memory_order::relaxed); (*nextTasksPtr)[idx] = std::make_pair(curTask.first, pair->first); } if ( serialSecond ) { std::sort(pair->second, curTask.second, comp); } else { auto idx = nextTasksCountPtr->fetch_add(1, std::memory_order::relaxed); (*nextTasksPtr)[idx] = std::make_pair(pair->second, curTask.second); } } else { auto idx = nextTasksCountPtr->fetch_add(2, std::memory_order::relaxed); (*nextTasksPtr)[idx] = std::make_pair(curTask.first, pair->first); (*nextTasksPtr)[idx + 1] = std::make_pair(pair->second, curTask.second); } } }; if ( currentTasks.count() == 1 ) { doTask(0); } else { dispatch_apply(currentTasks.count(), DISPATCH_APPLY_AUTO, ^(size_t i) { doTask(i); }); } nextTasks.resize(nextTasksCount); { currentTasks.clear(); auto tmp = std::move(currentTasks); currentTasks = std::move(nextTasks); nextTasks = std::move(tmp); } } while ( !currentTasks.empty() ); } template <typename It> void parallelSort(It begin, It end) { parallelSort(begin, end, std::less<std::remove_reference_t<decltype(*begin)>>{}); } template <typename Container, typename Comp> void parallelSort(Container& c, Comp comp) { parallelSort(c.begin(), c.end(), comp); } template <typename Container> void parallelSort(Container& c) { parallelSort(c, std::less<std::remove_reference_t<decltype(*c.begin())>>{}); } #endif /* Algorithm_h */ |