1 //===- MaximalStaticExpansion.cpp -----------------------------------------===// 2 // 3 // The LLVM Compiler Infrastructure 4 // 5 // This file is distributed under the University of Illinois Open Source 6 // License. See LICENSE.TXT for details. 7 // 8 //===----------------------------------------------------------------------===// 9 // 10 // This pass fully expand the memory accesses of a Scop to get rid of 11 // dependencies. 12 // 13 //===----------------------------------------------------------------------===// 14 15 #include "polly/DependenceInfo.h" 16 #include "polly/LinkAllPasses.h" 17 #include "polly/ScopInfo.h" 18 #include "polly/ScopPass.h" 19 #include "polly/Support/GICHelper.h" 20 #include "llvm/ADT/SmallPtrSet.h" 21 #include "llvm/ADT/StringRef.h" 22 #include "llvm/Analysis/OptimizationRemarkEmitter.h" 23 #include "llvm/Pass.h" 24 #include "isl/isl-noexceptions.h" 25 #include "isl/union_map.h" 26 #include <cassert> 27 #include <limits> 28 #include <string> 29 #include <vector> 30 31 using namespace llvm; 32 using namespace polly; 33 34 #define DEBUG_TYPE "polly-mse" 35 36 namespace { 37 38 class MaximalStaticExpander : public ScopPass { 39 public: 40 static char ID; 41 42 explicit MaximalStaticExpander() : ScopPass(ID) {} 43 44 ~MaximalStaticExpander() override = default; 45 46 /// Expand the accesses of the SCoP. 47 /// 48 /// @param S The SCoP that must be expanded. 49 bool runOnScop(Scop &S) override; 50 51 /// Print the SCoP. 52 /// 53 /// @param OS The stream where to print. 54 /// @param S The SCop that must be printed. 55 void printScop(raw_ostream &OS, Scop &S) const override; 56 57 /// Register all analyses and transformations required. 58 void getAnalysisUsage(AnalysisUsage &AU) const override; 59 60 private: 61 /// OptimizationRemarkEmitter object for displaying diagnostic remarks. 62 OptimizationRemarkEmitter *ORE; 63 64 /// Emit remark 65 void emitRemark(StringRef Msg, Instruction *Inst); 66 67 /// Return true if the SAI in parameter is expandable. 68 /// 69 /// @param SAI the SAI that need to be checked. 70 /// @param Writes A set that will contains all the write accesses. 71 /// @param Reads A set that will contains all the read accesses. 72 /// @param S The SCop in which the SAI is in. 73 /// @param Dependences The RAW dependences of the SCop. 74 bool isExpandable(const ScopArrayInfo *SAI, 75 SmallPtrSetImpl<MemoryAccess *> &Writes, 76 SmallPtrSetImpl<MemoryAccess *> &Reads, Scop &S, 77 const isl::union_map &Dependences); 78 79 /// Expand the MemoryAccess according to its domain. 80 /// 81 /// @param S The SCop in which the memory access appears in. 82 /// @param MA The memory access that need to be expanded. 83 ScopArrayInfo *expandAccess(Scop &S, MemoryAccess *MA); 84 85 /// Filter the dependences to have only one related to current memory access. 86 /// 87 /// @param S The SCop in which the memory access appears in. 88 /// @param MapDependences The dependences to filter. 89 /// @param MA The memory access that need to be expanded. 90 isl::union_map filterDependences(Scop &S, 91 const isl::union_map &MapDependences, 92 MemoryAccess *MA); 93 94 /// Expand the MemoryAccess according to Dependences and already expanded 95 /// MemoryAccesses. 96 /// 97 /// @param The SCop in which the memory access appears in. 98 /// @param The memory access that need to be expanded. 99 /// @param Dependences The RAW dependences of the SCop. 100 /// @param ExpandedSAI The expanded SAI created during write expansion. 101 /// @param Reverse if true, the Dependences union_map is reversed before 102 /// intersection. 103 void mapAccess(Scop &S, SmallPtrSetImpl<MemoryAccess *> &Accesses, 104 const isl::union_map &Dependences, ScopArrayInfo *ExpandedSAI, 105 bool Reverse); 106 107 /// Expand PHI memory accesses. 108 /// 109 /// @param The SCop in which the memory access appears in. 110 /// @param The ScopArrayInfo representing the PHI accesses to expand. 111 /// @param Dependences The RAW dependences of the SCop. 112 void expandPhi(Scop &S, const ScopArrayInfo *SAI, 113 const isl::union_map &Dependences); 114 }; 115 } // namespace 116 117 #ifndef NDEBUG 118 /// Whether a dimension of a set is bounded (lower and upper) by a constant, 119 /// i.e. there are two constants Min and Max, such that every value x of the 120 /// chosen dimensions is Min <= x <= Max. 121 static bool isDimBoundedByConstant(isl::set Set, unsigned dim) { 122 auto ParamDims = Set.dim(isl::dim::param); 123 Set = Set.project_out(isl::dim::param, 0, ParamDims); 124 Set = Set.project_out(isl::dim::set, 0, dim); 125 auto SetDims = Set.dim(isl::dim::set); 126 Set = Set.project_out(isl::dim::set, 1, SetDims - 1); 127 return bool(Set.is_bounded()); 128 } 129 #endif 130 131 /// If @p PwAff maps to a constant, return said constant. If @p Max/@p Min, it 132 /// can also be a piecewise constant and it would return the minimum/maximum 133 /// value. Otherwise, return NaN. 134 static isl::val getConstant(isl::pw_aff PwAff, bool Max, bool Min) { 135 assert(!Max || !Min); 136 isl::val Result; 137 PwAff.foreach_piece([=, &Result](isl::set Set, isl::aff Aff) -> isl::stat { 138 if (Result && Result.is_nan()) 139 return isl::stat::ok; 140 141 // TODO: If Min/Max, we can also determine a minimum/maximum value if 142 // Set is constant-bounded. 143 if (!Aff.is_cst()) { 144 Result = isl::val::nan(Aff.get_ctx()); 145 return isl::stat::error; 146 } 147 148 auto ThisVal = Aff.get_constant_val(); 149 if (!Result) { 150 Result = ThisVal; 151 return isl::stat::ok; 152 } 153 154 if (Result.eq(ThisVal)) 155 return isl::stat::ok; 156 157 if (Max && ThisVal.gt(Result)) { 158 Result = ThisVal; 159 return isl::stat::ok; 160 } 161 162 if (Min && ThisVal.lt(Result)) { 163 Result = ThisVal; 164 return isl::stat::ok; 165 } 166 167 // Not compatible 168 Result = isl::val::nan(Aff.get_ctx()); 169 return isl::stat::error; 170 }); 171 return Result; 172 } 173 174 char MaximalStaticExpander::ID = 0; 175 176 isl::union_map MaximalStaticExpander::filterDependences( 177 Scop &S, const isl::union_map &Dependences, MemoryAccess *MA) { 178 auto SAI = MA->getLatestScopArrayInfo(); 179 180 auto AccessDomainSet = MA->getAccessRelation().domain(); 181 auto AccessDomainId = AccessDomainSet.get_tuple_id(); 182 183 isl::union_map MapDependences = isl::union_map::empty(S.getParamSpace()); 184 185 Dependences.foreach_map([&MapDependences, &AccessDomainId, 186 &SAI](isl::map Map) -> isl::stat { 187 // Filter out Statement to Statement dependences. 188 if (!Map.can_curry()) 189 return isl::stat::ok; 190 191 // Intersect with the relevant SAI. 192 auto TmpMapDomainId = 193 Map.get_space().domain().unwrap().range().get_tuple_id(isl::dim::set); 194 195 ScopArrayInfo *UserSAI = 196 static_cast<ScopArrayInfo *>(TmpMapDomainId.get_user()); 197 198 if (SAI != UserSAI) 199 return isl::stat::ok; 200 201 // Get the correct S1[] -> S2[] dependence. 202 auto NewMap = Map.factor_domain(); 203 auto NewMapDomainId = NewMap.domain().get_tuple_id(); 204 205 if (AccessDomainId.keep() != NewMapDomainId.keep()) 206 return isl::stat::ok; 207 208 // Add the corresponding map to MapDependences. 209 MapDependences = MapDependences.add_map(NewMap); 210 211 return isl::stat::ok; 212 }); 213 214 return MapDependences; 215 } 216 217 bool MaximalStaticExpander::isExpandable( 218 const ScopArrayInfo *SAI, SmallPtrSetImpl<MemoryAccess *> &Writes, 219 SmallPtrSetImpl<MemoryAccess *> &Reads, Scop &S, 220 const isl::union_map &Dependences) { 221 if (SAI->isValueKind()) { 222 Writes.insert(S.getValueDef(SAI)); 223 for (auto MA : S.getValueUses(SAI)) 224 Reads.insert(MA); 225 return true; 226 } else if (SAI->isPHIKind()) { 227 auto Read = S.getPHIRead(SAI); 228 229 auto StmtDomain = isl::union_set(Read->getStatement()->getDomain()); 230 231 auto Writes = S.getPHIIncomings(SAI); 232 233 // Get the domain where all the writes are writing to. 234 auto WriteDomain = isl::union_set::empty(S.getParamSpace()); 235 236 for (auto Write : Writes) { 237 auto MapDeps = filterDependences(S, Dependences, Write); 238 MapDeps.foreach_map([&WriteDomain](isl::map Map) -> isl::stat { 239 WriteDomain = WriteDomain.add_set(Map.range()); 240 return isl::stat::ok; 241 }); 242 } 243 244 // For now, read from original scalar is not possible. 245 if (!StmtDomain.is_equal(WriteDomain)) { 246 emitRemark(SAI->getName() + " read from its original value.", 247 Read->getAccessInstruction()); 248 return false; 249 } 250 251 return true; 252 } else if (SAI->isExitPHIKind()) { 253 // For now, we are not able to expand ExitPhi. 254 emitRemark(SAI->getName() + " is a ExitPhi node.", 255 S.getEnteringBlock()->getFirstNonPHI()); 256 return false; 257 } 258 259 int NumberWrites = 0; 260 for (ScopStmt &Stmt : S) { 261 auto StmtReads = isl::union_map::empty(S.getParamSpace()); 262 auto StmtWrites = isl::union_map::empty(S.getParamSpace()); 263 264 for (MemoryAccess *MA : Stmt) { 265 // Check if the current MemoryAccess involved the current SAI. 266 if (SAI != MA->getLatestScopArrayInfo()) 267 continue; 268 269 // For now, we are not able to expand array where read come after write 270 // (to the same location) in a same statement. 271 auto AccRel = isl::union_map(MA->getAccessRelation()); 272 if (MA->isRead()) { 273 // Reject load after store to same location. 274 if (!StmtWrites.is_disjoint(AccRel)) { 275 emitRemark(SAI->getName() + " has read after write to the same " 276 "element in same statement. The " 277 "dependences found during analysis may " 278 "be wrong because Polly is not able to " 279 "handle such case for now.", 280 MA->getAccessInstruction()); 281 return false; 282 } 283 284 StmtReads = give(isl_union_map_union(StmtReads.take(), AccRel.take())); 285 } else { 286 StmtWrites = 287 give(isl_union_map_union(StmtWrites.take(), AccRel.take())); 288 } 289 290 // For now, we are not able to expand MayWrite. 291 if (MA->isMayWrite()) { 292 emitRemark(SAI->getName() + " has a maywrite access.", 293 MA->getAccessInstruction()); 294 return false; 295 } 296 297 // For now, we are not able to expand SAI with more than one write. 298 if (MA->isMustWrite()) { 299 Writes.insert(MA); 300 NumberWrites++; 301 if (NumberWrites > 1) { 302 emitRemark(SAI->getName() + " has more than 1 write access.", 303 MA->getAccessInstruction()); 304 return false; 305 } 306 } 307 308 // Check if it is possible to expand this read. 309 if (MA->isRead()) { 310 // Get the domain of the current ScopStmt. 311 auto StmtDomain = Stmt.getDomain(); 312 313 // Get the domain of the future Read access. 314 auto ReadDomainSet = MA->getAccessRelation().domain(); 315 auto ReadDomain = isl::union_set(ReadDomainSet); 316 317 // Get the dependences relevant for this MA 318 auto MapDependences = filterDependences(S, Dependences.reverse(), MA); 319 unsigned NumberElementMap = isl_union_map_n_map(MapDependences.get()); 320 321 if (NumberElementMap == 0) { 322 emitRemark("The expansion of " + SAI->getName() + 323 " would lead to a read from the original array.", 324 MA->getAccessInstruction()); 325 return false; 326 } 327 328 auto DepsDomain = MapDependences.domain(); 329 330 // If there are multiple maps in the Deps, we cannot handle this case 331 // for now. 332 if (NumberElementMap != 1) { 333 emitRemark(SAI->getName() + 334 " has too many dependences to be handle for now.", 335 MA->getAccessInstruction()); 336 return false; 337 } 338 339 auto DepsDomainSet = isl::set(DepsDomain); 340 341 // For now, read from the original array is not possible. 342 if (!StmtDomain.is_subset(DepsDomainSet)) { 343 emitRemark("The expansion of " + SAI->getName() + 344 " would lead to a read from the original array.", 345 MA->getAccessInstruction()); 346 return false; 347 } 348 349 Reads.insert(MA); 350 } 351 } 352 } 353 354 // No need to expand SAI with no write. 355 if (NumberWrites == 0) { 356 emitRemark(SAI->getName() + " has 0 write access.", 357 S.getEnteringBlock()->getFirstNonPHI()); 358 return false; 359 } 360 361 return true; 362 } 363 364 void MaximalStaticExpander::mapAccess(Scop &S, 365 SmallPtrSetImpl<MemoryAccess *> &Accesses, 366 const isl::union_map &Dependences, 367 ScopArrayInfo *ExpandedSAI, 368 bool Reverse) { 369 for (auto MA : Accesses) { 370 // Get the current AM. 371 auto CurrentAccessMap = MA->getAccessRelation(); 372 373 // Get RAW dependences for the current WA. 374 auto DomainSet = MA->getAccessRelation().domain(); 375 auto Domain = isl::union_set(DomainSet); 376 377 // Get the dependences relevant for this MA. 378 isl::union_map MapDependences = 379 filterDependences(S, Reverse ? Dependences.reverse() : Dependences, MA); 380 381 // If no dependences, no need to modify anything. 382 if (MapDependences.is_empty()) 383 return; 384 385 assert(isl_union_map_n_map(MapDependences.get()) == 1 && 386 "There are more than one RAW dependencies in the union map."); 387 auto NewAccessMap = isl::map::from_union_map(MapDependences); 388 389 auto Id = ExpandedSAI->getBasePtrId(); 390 391 // Replace the out tuple id with the one of the access array. 392 NewAccessMap = NewAccessMap.set_tuple_id(isl::dim::out, Id); 393 394 // Set the new access relation. 395 MA->setNewAccessRelation(NewAccessMap); 396 } 397 } 398 399 ScopArrayInfo *MaximalStaticExpander::expandAccess(Scop &S, MemoryAccess *MA) { 400 // Get the current AM. 401 auto CurrentAccessMap = MA->getAccessRelation(); 402 403 unsigned in_dimensions = CurrentAccessMap.dim(isl::dim::in); 404 405 // Get domain from the current AM. 406 auto Domain = CurrentAccessMap.domain(); 407 408 // Create a new AM from the domain. 409 auto NewAccessMap = isl::map::from_domain(Domain); 410 411 // Add dimensions to the new AM according to the current in_dim. 412 NewAccessMap = NewAccessMap.add_dims(isl::dim::out, in_dimensions); 413 414 // Create the string representing the name of the new SAI. 415 // One new SAI for each statement so that each write go to a different memory 416 // cell. 417 auto CurrentStmtDomain = MA->getStatement()->getDomain(); 418 auto CurrentStmtName = CurrentStmtDomain.get_tuple_name(); 419 auto CurrentOutId = CurrentAccessMap.get_tuple_id(isl::dim::out); 420 std::string CurrentOutIdString = 421 MA->getScopArrayInfo()->getName() + "_" + CurrentStmtName + "_expanded"; 422 423 // Set the tuple id for the out dimension. 424 NewAccessMap = NewAccessMap.set_tuple_id(isl::dim::out, CurrentOutId); 425 426 // Create the size vector. 427 std::vector<unsigned> Sizes; 428 for (unsigned i = 0; i < in_dimensions; i++) { 429 assert(isDimBoundedByConstant(CurrentStmtDomain, i) && 430 "Domain boundary are not constant."); 431 auto UpperBound = getConstant(CurrentStmtDomain.dim_max(i), true, false); 432 assert(!UpperBound.is_null() && UpperBound.is_pos() && 433 !UpperBound.is_nan() && 434 "The upper bound is not a positive integer."); 435 assert(UpperBound.le(isl::val(CurrentAccessMap.get_ctx(), 436 std::numeric_limits<int>::max() - 1)) && 437 "The upper bound overflow a int."); 438 Sizes.push_back(UpperBound.get_num_si() + 1); 439 } 440 441 // Get the ElementType of the current SAI. 442 auto ElementType = MA->getLatestScopArrayInfo()->getElementType(); 443 444 // Create (or get if already existing) the new expanded SAI. 445 auto ExpandedSAI = 446 S.createScopArrayInfo(ElementType, CurrentOutIdString, Sizes); 447 ExpandedSAI->setIsOnHeap(true); 448 449 // Get the out Id of the expanded Array. 450 auto NewOutId = ExpandedSAI->getBasePtrId(); 451 452 // Set the out id of the new AM to the new SAI id. 453 NewAccessMap = NewAccessMap.set_tuple_id(isl::dim::out, NewOutId); 454 455 // Add constraints to linked output with input id. 456 auto SpaceMap = NewAccessMap.get_space(); 457 auto ConstraintBasicMap = 458 isl::basic_map::equal(SpaceMap, SpaceMap.dim(isl::dim::in)); 459 NewAccessMap = isl::map(ConstraintBasicMap); 460 461 // Set the new access relation map. 462 MA->setNewAccessRelation(NewAccessMap); 463 464 return ExpandedSAI; 465 } 466 467 void MaximalStaticExpander::expandPhi(Scop &S, const ScopArrayInfo *SAI, 468 const isl::union_map &Dependences) { 469 SmallPtrSet<MemoryAccess *, 4> Writes; 470 for (auto MA : S.getPHIIncomings(SAI)) 471 Writes.insert(MA); 472 auto Read = S.getPHIRead(SAI); 473 auto ExpandedSAI = expandAccess(S, Read); 474 475 mapAccess(S, Writes, Dependences, ExpandedSAI, false); 476 } 477 478 void MaximalStaticExpander::emitRemark(StringRef Msg, Instruction *Inst) { 479 ORE->emit(OptimizationRemarkAnalysis(DEBUG_TYPE, "ExpansionRejection", Inst) 480 << Msg); 481 } 482 483 bool MaximalStaticExpander::runOnScop(Scop &S) { 484 // Get the ORE from OptimizationRemarkEmitterWrapperPass. 485 ORE = &(getAnalysis<OptimizationRemarkEmitterWrapperPass>().getORE()); 486 487 // Get the RAW Dependences. 488 auto &DI = getAnalysis<DependenceInfo>(); 489 auto &D = DI.getDependences(Dependences::AL_Reference); 490 auto Dependences = isl::give(D.getDependences(Dependences::TYPE_RAW)); 491 492 SmallVector<ScopArrayInfo *, 4> CurrentSAI(S.arrays().begin(), 493 S.arrays().end()); 494 495 for (auto SAI : CurrentSAI) { 496 SmallPtrSet<MemoryAccess *, 4> AllWrites; 497 SmallPtrSet<MemoryAccess *, 4> AllReads; 498 if (!isExpandable(SAI, AllWrites, AllReads, S, Dependences)) 499 continue; 500 501 if (SAI->isValueKind() || SAI->isArrayKind()) { 502 assert(AllWrites.size() == 1 || SAI->isValueKind()); 503 504 auto TheWrite = *(AllWrites.begin()); 505 ScopArrayInfo *ExpandedArray = expandAccess(S, TheWrite); 506 507 mapAccess(S, AllReads, Dependences, ExpandedArray, true); 508 } else if (SAI->isPHIKind()) { 509 expandPhi(S, SAI, Dependences); 510 } 511 } 512 513 return false; 514 } 515 516 void MaximalStaticExpander::printScop(raw_ostream &OS, Scop &S) const { 517 S.print(OS, false); 518 } 519 520 void MaximalStaticExpander::getAnalysisUsage(AnalysisUsage &AU) const { 521 ScopPass::getAnalysisUsage(AU); 522 AU.addRequired<DependenceInfo>(); 523 AU.addRequired<OptimizationRemarkEmitterWrapperPass>(); 524 } 525 526 Pass *polly::createMaximalStaticExpansionPass() { 527 return new MaximalStaticExpander(); 528 } 529 530 INITIALIZE_PASS_BEGIN(MaximalStaticExpander, "polly-mse", 531 "Polly - Maximal static expansion of SCoP", false, false); 532 INITIALIZE_PASS_DEPENDENCY(DependenceInfo); 533 INITIALIZE_PASS_DEPENDENCY(OptimizationRemarkEmitterWrapperPass); 534 INITIALIZE_PASS_END(MaximalStaticExpander, "polly-mse", 535 "Polly - Maximal static expansion of SCoP", false, false) 536