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 }; 115 116 } // namespace 117 118 #ifndef NDEBUG 119 /// Whether a dimension of a set is bounded (lower and upper) by a constant, 120 /// i.e. there are two constants Min and Max, such that every value x of the 121 /// chosen dimensions is Min <= x <= Max. 122 static bool isDimBoundedByConstant(isl::set Set, unsigned dim) { 123 auto ParamDims = Set.dim(isl::dim::param); 124 Set = Set.project_out(isl::dim::param, 0, ParamDims); 125 Set = Set.project_out(isl::dim::set, 0, dim); 126 auto SetDims = Set.dim(isl::dim::set); 127 Set = Set.project_out(isl::dim::set, 1, SetDims - 1); 128 return bool(Set.is_bounded()); 129 } 130 #endif 131 132 /// If @p PwAff maps to a constant, return said constant. If @p Max/@p Min, it 133 /// can also be a piecewise constant and it would return the minimum/maximum 134 /// value. Otherwise, return NaN. 135 static isl::val getConstant(isl::pw_aff PwAff, bool Max, bool Min) { 136 assert(!Max || !Min); 137 isl::val Result; 138 PwAff.foreach_piece([=, &Result](isl::set Set, isl::aff Aff) -> isl::stat { 139 if (Result && Result.is_nan()) 140 return isl::stat::ok; 141 142 // TODO: If Min/Max, we can also determine a minimum/maximum value if 143 // Set is constant-bounded. 144 if (!Aff.is_cst()) { 145 Result = isl::val::nan(Aff.get_ctx()); 146 return isl::stat::error; 147 } 148 149 auto ThisVal = Aff.get_constant_val(); 150 if (!Result) { 151 Result = ThisVal; 152 return isl::stat::ok; 153 } 154 155 if (Result.eq(ThisVal)) 156 return isl::stat::ok; 157 158 if (Max && ThisVal.gt(Result)) { 159 Result = ThisVal; 160 return isl::stat::ok; 161 } 162 163 if (Min && ThisVal.lt(Result)) { 164 Result = ThisVal; 165 return isl::stat::ok; 166 } 167 168 // Not compatible 169 Result = isl::val::nan(Aff.get_ctx()); 170 return isl::stat::error; 171 }); 172 return Result; 173 } 174 175 char MaximalStaticExpander::ID = 0; 176 177 isl::union_map MaximalStaticExpander::filterDependences( 178 Scop &S, const isl::union_map &Dependences, MemoryAccess *MA) { 179 auto SAI = MA->getLatestScopArrayInfo(); 180 181 auto AccessDomainSet = MA->getAccessRelation().domain(); 182 auto AccessDomainId = AccessDomainSet.get_tuple_id(); 183 184 isl::union_map MapDependences = isl::union_map::empty(S.getParamSpace()); 185 186 Dependences.foreach_map([&MapDependences, &AccessDomainId, 187 &SAI](isl::map Map) -> isl::stat { 188 // Filter out Statement to Statement dependences. 189 if (!Map.can_curry()) 190 return isl::stat::ok; 191 192 // Intersect with the relevant SAI. 193 auto TmpMapDomainId = 194 Map.get_space().domain().unwrap().range().get_tuple_id(isl::dim::set); 195 196 ScopArrayInfo *UserSAI = 197 static_cast<ScopArrayInfo *>(TmpMapDomainId.get_user()); 198 199 if (SAI != UserSAI) 200 return isl::stat::ok; 201 202 // Get the correct S1[] -> S2[] dependence. 203 auto NewMap = Map.factor_domain(); 204 auto NewMapDomainId = NewMap.domain().get_tuple_id(); 205 206 if (AccessDomainId.keep() != NewMapDomainId.keep()) 207 return isl::stat::ok; 208 209 // Add the corresponding map to MapDependences. 210 MapDependences = MapDependences.add_map(NewMap); 211 212 return isl::stat::ok; 213 }); 214 215 return MapDependences; 216 } 217 218 bool MaximalStaticExpander::isExpandable( 219 const ScopArrayInfo *SAI, SmallPtrSetImpl<MemoryAccess *> &Writes, 220 SmallPtrSetImpl<MemoryAccess *> &Reads, Scop &S, 221 const isl::union_map &Dependences) { 222 if (SAI->isValueKind()) { 223 Writes.insert(S.getValueDef(SAI)); 224 for (auto MA : S.getValueUses(SAI)) 225 Reads.insert(MA); 226 return true; 227 } else if (SAI->isPHIKind()) { 228 auto Read = S.getPHIRead(SAI); 229 230 auto StmtDomain = isl::union_set(Read->getStatement()->getDomain()); 231 232 auto Writes = S.getPHIIncomings(SAI); 233 234 // Get the domain where all the writes are writing to. 235 auto WriteDomain = isl::union_set::empty(S.getParamSpace()); 236 237 for (auto Write : Writes) { 238 auto MapDeps = filterDependences(S, Dependences, Write); 239 MapDeps.foreach_map([&WriteDomain](isl::map Map) -> isl::stat { 240 WriteDomain = WriteDomain.add_set(Map.range()); 241 return isl::stat::ok; 242 }); 243 } 244 245 // For now, read from original scalar is not possible. 246 if (!StmtDomain.is_equal(WriteDomain)) { 247 emitRemark(SAI->getName() + " read from its original value.", 248 Read->getAccessInstruction()); 249 return false; 250 } 251 252 return true; 253 } else if (SAI->isExitPHIKind()) { 254 // For now, we are not able to expand ExitPhi. 255 emitRemark(SAI->getName() + " is a ExitPhi node.", 256 S.getEnteringBlock()->getFirstNonPHI()); 257 return false; 258 } 259 260 int NumberWrites = 0; 261 for (ScopStmt &Stmt : S) { 262 auto StmtReads = isl::union_map::empty(S.getParamSpace()); 263 auto StmtWrites = isl::union_map::empty(S.getParamSpace()); 264 265 for (MemoryAccess *MA : Stmt) { 266 // Check if the current MemoryAccess involved the current SAI. 267 if (SAI != MA->getLatestScopArrayInfo()) 268 continue; 269 270 // For now, we are not able to expand array where read come after write 271 // (to the same location) in a same statement. 272 auto AccRel = isl::union_map(MA->getAccessRelation()); 273 if (MA->isRead()) { 274 // Reject load after store to same location. 275 if (!StmtWrites.is_disjoint(AccRel)) { 276 emitRemark(SAI->getName() + " has read after write to the same " 277 "element in same statement. The " 278 "dependences found during analysis may " 279 "be wrong because Polly is not able to " 280 "handle such case for now.", 281 MA->getAccessInstruction()); 282 return false; 283 } 284 285 StmtReads = give(isl_union_map_union(StmtReads.take(), AccRel.take())); 286 } else { 287 StmtWrites = 288 give(isl_union_map_union(StmtWrites.take(), AccRel.take())); 289 } 290 291 // For now, we are not able to expand MayWrite. 292 if (MA->isMayWrite()) { 293 emitRemark(SAI->getName() + " has a maywrite access.", 294 MA->getAccessInstruction()); 295 return false; 296 } 297 298 // For now, we are not able to expand SAI with more than one write. 299 if (MA->isMustWrite()) { 300 Writes.insert(MA); 301 NumberWrites++; 302 if (NumberWrites > 1) { 303 emitRemark(SAI->getName() + " has more than 1 write access.", 304 MA->getAccessInstruction()); 305 return false; 306 } 307 } 308 309 // Check if it is possible to expand this read. 310 if (MA->isRead()) { 311 // Get the domain of the current ScopStmt. 312 auto StmtDomain = Stmt.getDomain(); 313 314 // Get the domain of the future Read access. 315 auto ReadDomainSet = MA->getAccessRelation().domain(); 316 auto ReadDomain = isl::union_set(ReadDomainSet); 317 318 // Get the dependences relevant for this MA 319 auto MapDependences = filterDependences(S, Dependences.reverse(), MA); 320 unsigned NumberElementMap = isl_union_map_n_map(MapDependences.get()); 321 322 if (NumberElementMap == 0) { 323 emitRemark("The expansion of " + SAI->getName() + 324 " would lead to a read from the original array.", 325 MA->getAccessInstruction()); 326 return false; 327 } 328 329 auto DepsDomain = MapDependences.domain(); 330 331 // If there are multiple maps in the Deps, we cannot handle this case 332 // for now. 333 if (NumberElementMap != 1) { 334 emitRemark(SAI->getName() + 335 " has too many dependences to be handle for now.", 336 MA->getAccessInstruction()); 337 return false; 338 } 339 340 auto DepsDomainSet = isl::set(DepsDomain); 341 342 // For now, read from the original array is not possible. 343 if (!StmtDomain.is_subset(DepsDomainSet)) { 344 emitRemark("The expansion of " + SAI->getName() + 345 " would lead to a read from the original array.", 346 MA->getAccessInstruction()); 347 return false; 348 } 349 350 Reads.insert(MA); 351 } 352 } 353 } 354 355 // No need to expand SAI with no write. 356 if (NumberWrites == 0) { 357 emitRemark(SAI->getName() + " has 0 write access.", 358 S.getEnteringBlock()->getFirstNonPHI()); 359 return false; 360 } 361 362 return true; 363 } 364 365 void MaximalStaticExpander::mapAccess(Scop &S, 366 SmallPtrSetImpl<MemoryAccess *> &Accesses, 367 const isl::union_map &Dependences, 368 ScopArrayInfo *ExpandedSAI, 369 bool Reverse) { 370 for (auto MA : Accesses) { 371 // Get the current AM. 372 auto CurrentAccessMap = MA->getAccessRelation(); 373 374 // Get RAW dependences for the current WA. 375 auto DomainSet = MA->getAccessRelation().domain(); 376 auto Domain = isl::union_set(DomainSet); 377 378 // Get the dependences relevant for this MA. 379 isl::union_map MapDependences = 380 filterDependences(S, Reverse ? Dependences.reverse() : Dependences, MA); 381 382 // If no dependences, no need to modify anything. 383 if (MapDependences.is_empty()) 384 return; 385 386 assert(isl_union_map_n_map(MapDependences.get()) == 1 && 387 "There are more than one RAW dependencies in the union map."); 388 auto NewAccessMap = isl::map::from_union_map(MapDependences); 389 390 auto Id = ExpandedSAI->getBasePtrId(); 391 392 // Replace the out tuple id with the one of the access array. 393 NewAccessMap = NewAccessMap.set_tuple_id(isl::dim::out, Id); 394 395 // Set the new access relation. 396 MA->setNewAccessRelation(NewAccessMap); 397 } 398 } 399 400 ScopArrayInfo *MaximalStaticExpander::expandAccess(Scop &S, MemoryAccess *MA) { 401 // Get the current AM. 402 auto CurrentAccessMap = MA->getAccessRelation(); 403 404 unsigned in_dimensions = CurrentAccessMap.dim(isl::dim::in); 405 406 // Get domain from the current AM. 407 auto Domain = CurrentAccessMap.domain(); 408 409 // Create a new AM from the domain. 410 auto NewAccessMap = isl::map::from_domain(Domain); 411 412 // Add dimensions to the new AM according to the current in_dim. 413 NewAccessMap = NewAccessMap.add_dims(isl::dim::out, in_dimensions); 414 415 // Create the string representing the name of the new SAI. 416 // One new SAI for each statement so that each write go to a different memory 417 // cell. 418 auto CurrentStmtDomain = MA->getStatement()->getDomain(); 419 auto CurrentStmtName = CurrentStmtDomain.get_tuple_name(); 420 auto CurrentOutId = CurrentAccessMap.get_tuple_id(isl::dim::out); 421 std::string CurrentOutIdString = 422 MA->getScopArrayInfo()->getName() + "_" + CurrentStmtName + "_expanded"; 423 424 // Set the tuple id for the out dimension. 425 NewAccessMap = NewAccessMap.set_tuple_id(isl::dim::out, CurrentOutId); 426 427 // Create the size vector. 428 std::vector<unsigned> Sizes; 429 for (unsigned i = 0; i < in_dimensions; i++) { 430 assert(isDimBoundedByConstant(CurrentStmtDomain, i) && 431 "Domain boundary are not constant."); 432 auto UpperBound = getConstant(CurrentStmtDomain.dim_max(i), true, false); 433 assert(!UpperBound.is_null() && UpperBound.is_pos() && 434 !UpperBound.is_nan() && 435 "The upper bound is not a positive integer."); 436 assert(UpperBound.le(isl::val(CurrentAccessMap.get_ctx(), 437 std::numeric_limits<int>::max() - 1)) && 438 "The upper bound overflow a int."); 439 Sizes.push_back(UpperBound.get_num_si() + 1); 440 } 441 442 // Get the ElementType of the current SAI. 443 auto ElementType = MA->getLatestScopArrayInfo()->getElementType(); 444 445 // Create (or get if already existing) the new expanded SAI. 446 auto ExpandedSAI = 447 S.createScopArrayInfo(ElementType, CurrentOutIdString, Sizes); 448 ExpandedSAI->setIsOnHeap(true); 449 450 // Get the out Id of the expanded Array. 451 auto NewOutId = ExpandedSAI->getBasePtrId(); 452 453 // Set the out id of the new AM to the new SAI id. 454 NewAccessMap = NewAccessMap.set_tuple_id(isl::dim::out, NewOutId); 455 456 // Add constraints to linked output with input id. 457 auto SpaceMap = NewAccessMap.get_space(); 458 auto ConstraintBasicMap = 459 isl::basic_map::equal(SpaceMap, SpaceMap.dim(isl::dim::in)); 460 NewAccessMap = isl::map(ConstraintBasicMap); 461 462 // Set the new access relation map. 463 MA->setNewAccessRelation(NewAccessMap); 464 465 return ExpandedSAI; 466 } 467 468 void MaximalStaticExpander::expandPhi(Scop &S, const ScopArrayInfo *SAI, 469 const isl::union_map &Dependences) { 470 SmallPtrSet<MemoryAccess *, 4> Writes; 471 for (auto MA : S.getPHIIncomings(SAI)) 472 Writes.insert(MA); 473 auto Read = S.getPHIRead(SAI); 474 auto ExpandedSAI = expandAccess(S, Read); 475 476 mapAccess(S, Writes, Dependences, ExpandedSAI, false); 477 } 478 479 void MaximalStaticExpander::emitRemark(StringRef Msg, Instruction *Inst) { 480 ORE->emit(OptimizationRemarkAnalysis(DEBUG_TYPE, "ExpansionRejection", Inst) 481 << Msg); 482 } 483 484 bool MaximalStaticExpander::runOnScop(Scop &S) { 485 // Get the ORE from OptimizationRemarkEmitterWrapperPass. 486 ORE = &(getAnalysis<OptimizationRemarkEmitterWrapperPass>().getORE()); 487 488 // Get the RAW Dependences. 489 auto &DI = getAnalysis<DependenceInfo>(); 490 auto &D = DI.getDependences(Dependences::AL_Reference); 491 auto Dependences = isl::give(D.getDependences(Dependences::TYPE_RAW)); 492 493 SmallVector<ScopArrayInfo *, 4> CurrentSAI(S.arrays().begin(), 494 S.arrays().end()); 495 496 for (auto SAI : CurrentSAI) { 497 SmallPtrSet<MemoryAccess *, 4> AllWrites; 498 SmallPtrSet<MemoryAccess *, 4> AllReads; 499 if (!isExpandable(SAI, AllWrites, AllReads, S, Dependences)) 500 continue; 501 502 if (SAI->isValueKind() || SAI->isArrayKind()) { 503 assert(AllWrites.size() == 1 || SAI->isValueKind()); 504 505 auto TheWrite = *(AllWrites.begin()); 506 ScopArrayInfo *ExpandedArray = expandAccess(S, TheWrite); 507 508 mapAccess(S, AllReads, Dependences, ExpandedArray, true); 509 } else if (SAI->isPHIKind()) { 510 expandPhi(S, SAI, Dependences); 511 } 512 } 513 514 return false; 515 } 516 517 void MaximalStaticExpander::printScop(raw_ostream &OS, Scop &S) const { 518 S.print(OS, false); 519 } 520 521 void MaximalStaticExpander::getAnalysisUsage(AnalysisUsage &AU) const { 522 ScopPass::getAnalysisUsage(AU); 523 AU.addRequired<DependenceInfo>(); 524 AU.addRequired<OptimizationRemarkEmitterWrapperPass>(); 525 } 526 527 Pass *polly::createMaximalStaticExpansionPass() { 528 return new MaximalStaticExpander(); 529 } 530 531 INITIALIZE_PASS_BEGIN(MaximalStaticExpander, "polly-mse", 532 "Polly - Maximal static expansion of SCoP", false, false); 533 INITIALIZE_PASS_DEPENDENCY(DependenceInfo); 534 INITIALIZE_PASS_DEPENDENCY(OptimizationRemarkEmitterWrapperPass); 535 INITIALIZE_PASS_END(MaximalStaticExpander, "polly-mse", 536 "Polly - Maximal static expansion of SCoP", false, false) 537