1 //===- Schedule.cpp - Calculate an optimized schedule ---------------------===// 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 the isl to calculate a schedule that is optimized for parallelism 11 // and tileablility. The algorithm used in isl is an optimized version of the 12 // algorithm described in following paper: 13 // 14 // U. Bondhugula, A. Hartono, J. Ramanujam, and P. Sadayappan. 15 // A Practical Automatic Polyhedral Parallelizer and Locality Optimizer. 16 // In Proceedings of the 2008 ACM SIGPLAN Conference On Programming Language 17 // Design and Implementation, PLDI ’08, pages 101–113. ACM, 2008. 18 //===----------------------------------------------------------------------===// 19 20 #include "polly/ScheduleOptimizer.h" 21 #include "polly/CodeGen/CodeGeneration.h" 22 #include "polly/DependenceInfo.h" 23 #include "polly/LinkAllPasses.h" 24 #include "polly/Options.h" 25 #include "polly/ScopInfo.h" 26 #include "polly/Support/GICHelper.h" 27 #include "llvm/Support/Debug.h" 28 #include "isl/aff.h" 29 #include "isl/band.h" 30 #include "isl/constraint.h" 31 #include "isl/map.h" 32 #include "isl/options.h" 33 #include "isl/schedule.h" 34 #include "isl/schedule_node.h" 35 #include "isl/space.h" 36 #include "isl/union_map.h" 37 #include "isl/union_set.h" 38 39 using namespace llvm; 40 using namespace polly; 41 42 #define DEBUG_TYPE "polly-opt-isl" 43 44 namespace polly { 45 bool DisablePollyTiling; 46 } 47 static cl::opt<bool, true> 48 DisableTiling("polly-no-tiling", 49 cl::desc("Disable tiling in the scheduler"), 50 cl::location(polly::DisablePollyTiling), cl::init(false), 51 cl::ZeroOrMore, cl::cat(PollyCategory)); 52 53 static cl::opt<std::string> 54 OptimizeDeps("polly-opt-optimize-only", 55 cl::desc("Only a certain kind of dependences (all/raw)"), 56 cl::Hidden, cl::init("all"), cl::ZeroOrMore, 57 cl::cat(PollyCategory)); 58 59 static cl::opt<std::string> 60 SimplifyDeps("polly-opt-simplify-deps", 61 cl::desc("Dependences should be simplified (yes/no)"), 62 cl::Hidden, cl::init("yes"), cl::ZeroOrMore, 63 cl::cat(PollyCategory)); 64 65 static cl::opt<int> MaxConstantTerm( 66 "polly-opt-max-constant-term", 67 cl::desc("The maximal constant term allowed (-1 is unlimited)"), cl::Hidden, 68 cl::init(20), cl::ZeroOrMore, cl::cat(PollyCategory)); 69 70 static cl::opt<int> MaxCoefficient( 71 "polly-opt-max-coefficient", 72 cl::desc("The maximal coefficient allowed (-1 is unlimited)"), cl::Hidden, 73 cl::init(20), cl::ZeroOrMore, cl::cat(PollyCategory)); 74 75 static cl::opt<std::string> FusionStrategy( 76 "polly-opt-fusion", cl::desc("The fusion strategy to choose (min/max)"), 77 cl::Hidden, cl::init("min"), cl::ZeroOrMore, cl::cat(PollyCategory)); 78 79 static cl::opt<std::string> 80 MaximizeBandDepth("polly-opt-maximize-bands", 81 cl::desc("Maximize the band depth (yes/no)"), cl::Hidden, 82 cl::init("yes"), cl::ZeroOrMore, cl::cat(PollyCategory)); 83 84 static cl::opt<int> DefaultTileSize( 85 "polly-default-tile-size", 86 cl::desc("The default tile size (if not enough were provided by" 87 " --polly-tile-sizes)"), 88 cl::Hidden, cl::init(32), cl::ZeroOrMore, cl::cat(PollyCategory)); 89 90 static cl::list<int> TileSizes("polly-tile-sizes", 91 cl::desc("A tile size" 92 " for each loop dimension, filled with" 93 " --polly-default-tile-size"), 94 cl::Hidden, cl::ZeroOrMore, cl::CommaSeparated, 95 cl::cat(PollyCategory)); 96 namespace { 97 98 class IslScheduleOptimizer : public ScopPass { 99 public: 100 static char ID; 101 explicit IslScheduleOptimizer() : ScopPass(ID) { LastSchedule = nullptr; } 102 103 ~IslScheduleOptimizer() { isl_schedule_free(LastSchedule); } 104 105 bool runOnScop(Scop &S) override; 106 void printScop(raw_ostream &OS, Scop &S) const override; 107 void getAnalysisUsage(AnalysisUsage &AU) const override; 108 109 private: 110 isl_schedule *LastSchedule; 111 112 /// @brief Decide if the @p NewSchedule is profitable for @p S. 113 /// 114 /// @param S The SCoP we optimize. 115 /// @param NewSchedule The new schedule we computed. 116 /// 117 /// @return True, if we believe @p NewSchedule is an improvement for @p S. 118 bool isProfitableSchedule(Scop &S, __isl_keep isl_union_map *NewSchedule); 119 120 /// @brief Create a map that pre-vectorizes one scheduling dimension. 121 /// 122 /// getPrevectorMap creates a map that maps each input dimension to the same 123 /// output dimension, except for the dimension DimToVectorize. 124 /// DimToVectorize is strip mined by 'VectorWidth' and the newly created 125 /// point loop of DimToVectorize is moved to the innermost level. 126 /// 127 /// Example (DimToVectorize=0, ScheduleDimensions=2, VectorWidth=4): 128 /// 129 /// | Before transformation 130 /// | 131 /// | A[i,j] -> [i,j] 132 /// | 133 /// | for (i = 0; i < 128; i++) 134 /// | for (j = 0; j < 128; j++) 135 /// | A(i,j); 136 /// 137 /// Prevector map: 138 /// [i,j] -> [it,j,ip] : it % 4 = 0 and it <= ip <= it + 3 and i = ip 139 /// 140 /// | After transformation: 141 /// | 142 /// | A[i,j] -> [it,j,ip] : it % 4 = 0 and it <= ip <= it + 3 and i = ip 143 /// | 144 /// | for (it = 0; it < 128; it+=4) 145 /// | for (j = 0; j < 128; j++) 146 /// | for (ip = max(0,it); ip < min(128, it + 3); ip++) 147 /// | A(ip,j); 148 /// 149 /// The goal of this transformation is to create a trivially vectorizable 150 /// loop. This means a parallel loop at the innermost level that has a 151 /// constant number of iterations corresponding to the target vector width. 152 /// 153 /// This transformation creates a loop at the innermost level. The loop has 154 /// a constant number of iterations, if the number of loop iterations at 155 /// DimToVectorize can be divided by VectorWidth. The default VectorWidth is 156 /// currently constant and not yet target specific. This function does not 157 /// reason about parallelism. 158 static __isl_give isl_map *getPrevectorMap(isl_ctx *ctx, int DimToVectorize, 159 int ScheduleDimensions, 160 int VectorWidth = 4); 161 162 /// @brief Apply additional optimizations on the bands in the schedule tree. 163 /// 164 /// We are looking for an innermost band node and apply the following 165 /// transformations: 166 /// 167 /// - Tile the band 168 /// - if the band is tileable 169 /// - if the band has more than one loop dimension 170 /// 171 /// - Prevectorize the point loop of the tile 172 /// - if vectorization is enabled 173 /// 174 /// @param Node The schedule node to (possibly) optimize. 175 /// @param User A pointer to forward some use information (currently unused). 176 static isl_schedule_node *optimizeBand(isl_schedule_node *Node, void *User); 177 178 static __isl_give isl_union_map * 179 getScheduleMap(__isl_keep isl_schedule *Schedule); 180 181 using llvm::Pass::doFinalization; 182 183 virtual bool doFinalization() override { 184 isl_schedule_free(LastSchedule); 185 LastSchedule = nullptr; 186 return true; 187 } 188 }; 189 } 190 191 char IslScheduleOptimizer::ID = 0; 192 193 __isl_give isl_map * 194 IslScheduleOptimizer::getPrevectorMap(isl_ctx *ctx, int DimToVectorize, 195 int ScheduleDimensions, int VectorWidth) { 196 isl_space *Space; 197 isl_local_space *LocalSpace, *LocalSpaceRange; 198 isl_set *Modulo; 199 isl_map *TilingMap; 200 isl_constraint *c; 201 isl_aff *Aff; 202 int PointDimension; /* ip */ 203 int TileDimension; /* it */ 204 isl_val *VectorWidthMP; 205 206 assert(0 <= DimToVectorize && DimToVectorize < ScheduleDimensions); 207 208 Space = isl_space_alloc(ctx, 0, ScheduleDimensions, ScheduleDimensions + 1); 209 TilingMap = isl_map_universe(isl_space_copy(Space)); 210 LocalSpace = isl_local_space_from_space(Space); 211 PointDimension = ScheduleDimensions; 212 TileDimension = DimToVectorize; 213 214 // Create an identity map for everything except DimToVectorize and map 215 // DimToVectorize to the point loop at the innermost dimension. 216 for (int i = 0; i < ScheduleDimensions; i++) { 217 c = isl_equality_alloc(isl_local_space_copy(LocalSpace)); 218 c = isl_constraint_set_coefficient_si(c, isl_dim_in, i, -1); 219 220 if (i == DimToVectorize) 221 c = isl_constraint_set_coefficient_si(c, isl_dim_out, PointDimension, 1); 222 else 223 c = isl_constraint_set_coefficient_si(c, isl_dim_out, i, 1); 224 225 TilingMap = isl_map_add_constraint(TilingMap, c); 226 } 227 228 // it % 'VectorWidth' = 0 229 LocalSpaceRange = isl_local_space_range(isl_local_space_copy(LocalSpace)); 230 Aff = isl_aff_zero_on_domain(LocalSpaceRange); 231 Aff = isl_aff_set_constant_si(Aff, VectorWidth); 232 Aff = isl_aff_set_coefficient_si(Aff, isl_dim_in, TileDimension, 1); 233 VectorWidthMP = isl_val_int_from_si(ctx, VectorWidth); 234 Aff = isl_aff_mod_val(Aff, VectorWidthMP); 235 Modulo = isl_pw_aff_zero_set(isl_pw_aff_from_aff(Aff)); 236 TilingMap = isl_map_intersect_range(TilingMap, Modulo); 237 238 // it <= ip 239 c = isl_inequality_alloc(isl_local_space_copy(LocalSpace)); 240 isl_constraint_set_coefficient_si(c, isl_dim_out, TileDimension, -1); 241 isl_constraint_set_coefficient_si(c, isl_dim_out, PointDimension, 1); 242 TilingMap = isl_map_add_constraint(TilingMap, c); 243 244 // ip <= it + ('VectorWidth' - 1) 245 c = isl_inequality_alloc(LocalSpace); 246 isl_constraint_set_coefficient_si(c, isl_dim_out, TileDimension, 1); 247 isl_constraint_set_coefficient_si(c, isl_dim_out, PointDimension, -1); 248 isl_constraint_set_constant_si(c, VectorWidth - 1); 249 TilingMap = isl_map_add_constraint(TilingMap, c); 250 251 return TilingMap; 252 } 253 254 isl_schedule_node *IslScheduleOptimizer::optimizeBand(isl_schedule_node *Node, 255 void *User) { 256 if (isl_schedule_node_get_type(Node) != isl_schedule_node_band) 257 return Node; 258 259 if (isl_schedule_node_n_children(Node) != 1) 260 return Node; 261 262 if (!isl_schedule_node_band_get_permutable(Node)) 263 return Node; 264 265 auto Space = isl_schedule_node_band_get_space(Node); 266 auto Dims = isl_space_dim(Space, isl_dim_set); 267 268 if (Dims <= 1) { 269 isl_space_free(Space); 270 return Node; 271 } 272 273 auto Child = isl_schedule_node_get_child(Node, 0); 274 auto Type = isl_schedule_node_get_type(Child); 275 isl_schedule_node_free(Child); 276 277 if (Type != isl_schedule_node_leaf) { 278 isl_space_free(Space); 279 return Node; 280 } 281 282 auto Sizes = isl_multi_val_zero(Space); 283 auto Ctx = isl_schedule_node_get_ctx(Node); 284 285 for (unsigned i = 0; i < Dims; i++) { 286 auto tileSize = TileSizes.size() > i ? TileSizes[i] : DefaultTileSize; 287 Sizes = isl_multi_val_set_val(Sizes, i, isl_val_int_from_si(Ctx, tileSize)); 288 } 289 290 isl_schedule_node *Res; 291 292 if (DisableTiling) { 293 isl_multi_val_free(Sizes); 294 Res = Node; 295 } else { 296 Res = isl_schedule_node_band_tile(Node, Sizes); 297 } 298 299 if (PollyVectorizerChoice == VECTORIZER_NONE) 300 return Res; 301 302 Child = isl_schedule_node_get_child(Res, 0); 303 auto ChildSchedule = isl_schedule_node_band_get_partial_schedule(Child); 304 305 for (int i = Dims - 1; i >= 0; i--) { 306 if (isl_schedule_node_band_member_get_coincident(Child, i)) { 307 auto TileMap = IslScheduleOptimizer::getPrevectorMap(Ctx, i, Dims); 308 auto TileUMap = isl_union_map_from_map(TileMap); 309 auto ChildSchedule2 = isl_union_map_apply_range( 310 isl_union_map_from_multi_union_pw_aff(ChildSchedule), TileUMap); 311 ChildSchedule = isl_multi_union_pw_aff_from_union_map(ChildSchedule2); 312 break; 313 } 314 } 315 316 isl_schedule_node_free(Res); 317 Res = isl_schedule_node_delete(Child); 318 Res = isl_schedule_node_insert_partial_schedule(Res, ChildSchedule); 319 return Res; 320 } 321 322 __isl_give isl_union_map * 323 IslScheduleOptimizer::getScheduleMap(__isl_keep isl_schedule *Schedule) { 324 isl_schedule_node *Root = isl_schedule_get_root(Schedule); 325 Root = isl_schedule_node_map_descendant( 326 Root, IslScheduleOptimizer::optimizeBand, NULL); 327 auto ScheduleMap = isl_schedule_node_get_subtree_schedule_union_map(Root); 328 ScheduleMap = isl_union_map_detect_equalities(ScheduleMap); 329 isl_schedule_node_free(Root); 330 return ScheduleMap; 331 } 332 333 bool IslScheduleOptimizer::isProfitableSchedule( 334 Scop &S, __isl_keep isl_union_map *NewSchedule) { 335 // To understand if the schedule has been optimized we check if the schedule 336 // has changed at all. 337 // TODO: We can improve this by tracking if any necessarily beneficial 338 // transformations have been performed. This can e.g. be tiling, loop 339 // interchange, or ...) We can track this either at the place where the 340 // transformation has been performed or, in case of automatic ILP based 341 // optimizations, by comparing (yet to be defined) performance metrics 342 // before/after the scheduling optimizer 343 // (e.g., #stride-one accesses) 344 isl_union_map *OldSchedule = S.getSchedule(); 345 bool changed = !isl_union_map_is_equal(OldSchedule, NewSchedule); 346 isl_union_map_free(OldSchedule); 347 return changed; 348 } 349 350 bool IslScheduleOptimizer::runOnScop(Scop &S) { 351 352 // Skip empty SCoPs but still allow code generation as it will delete the 353 // loops present but not needed. 354 if (S.getSize() == 0) { 355 S.markAsOptimized(); 356 return false; 357 } 358 359 const Dependences &D = getAnalysis<DependenceInfo>().getDependences(); 360 361 if (!D.hasValidDependences()) 362 return false; 363 364 isl_schedule_free(LastSchedule); 365 LastSchedule = nullptr; 366 367 // Build input data. 368 int ValidityKinds = 369 Dependences::TYPE_RAW | Dependences::TYPE_WAR | Dependences::TYPE_WAW; 370 int ProximityKinds; 371 372 if (OptimizeDeps == "all") 373 ProximityKinds = 374 Dependences::TYPE_RAW | Dependences::TYPE_WAR | Dependences::TYPE_WAW; 375 else if (OptimizeDeps == "raw") 376 ProximityKinds = Dependences::TYPE_RAW; 377 else { 378 errs() << "Do not know how to optimize for '" << OptimizeDeps << "'" 379 << " Falling back to optimizing all dependences.\n"; 380 ProximityKinds = 381 Dependences::TYPE_RAW | Dependences::TYPE_WAR | Dependences::TYPE_WAW; 382 } 383 384 isl_union_set *Domain = S.getDomains(); 385 386 if (!Domain) 387 return false; 388 389 isl_union_map *Validity = D.getDependences(ValidityKinds); 390 isl_union_map *Proximity = D.getDependences(ProximityKinds); 391 392 // Simplify the dependences by removing the constraints introduced by the 393 // domains. This can speed up the scheduling time significantly, as large 394 // constant coefficients will be removed from the dependences. The 395 // introduction of some additional dependences reduces the possible 396 // transformations, but in most cases, such transformation do not seem to be 397 // interesting anyway. In some cases this option may stop the scheduler to 398 // find any schedule. 399 if (SimplifyDeps == "yes") { 400 Validity = isl_union_map_gist_domain(Validity, isl_union_set_copy(Domain)); 401 Validity = isl_union_map_gist_range(Validity, isl_union_set_copy(Domain)); 402 Proximity = 403 isl_union_map_gist_domain(Proximity, isl_union_set_copy(Domain)); 404 Proximity = isl_union_map_gist_range(Proximity, isl_union_set_copy(Domain)); 405 } else if (SimplifyDeps != "no") { 406 errs() << "warning: Option -polly-opt-simplify-deps should either be 'yes' " 407 "or 'no'. Falling back to default: 'yes'\n"; 408 } 409 410 DEBUG(dbgs() << "\n\nCompute schedule from: "); 411 DEBUG(dbgs() << "Domain := " << stringFromIslObj(Domain) << ";\n"); 412 DEBUG(dbgs() << "Proximity := " << stringFromIslObj(Proximity) << ";\n"); 413 DEBUG(dbgs() << "Validity := " << stringFromIslObj(Validity) << ";\n"); 414 415 int IslFusionStrategy; 416 417 if (FusionStrategy == "max") { 418 IslFusionStrategy = ISL_SCHEDULE_FUSE_MAX; 419 } else if (FusionStrategy == "min") { 420 IslFusionStrategy = ISL_SCHEDULE_FUSE_MIN; 421 } else { 422 errs() << "warning: Unknown fusion strategy. Falling back to maximal " 423 "fusion.\n"; 424 IslFusionStrategy = ISL_SCHEDULE_FUSE_MAX; 425 } 426 427 int IslMaximizeBands; 428 429 if (MaximizeBandDepth == "yes") { 430 IslMaximizeBands = 1; 431 } else if (MaximizeBandDepth == "no") { 432 IslMaximizeBands = 0; 433 } else { 434 errs() << "warning: Option -polly-opt-maximize-bands should either be 'yes'" 435 " or 'no'. Falling back to default: 'yes'\n"; 436 IslMaximizeBands = 1; 437 } 438 439 isl_options_set_schedule_fuse(S.getIslCtx(), IslFusionStrategy); 440 isl_options_set_schedule_maximize_band_depth(S.getIslCtx(), IslMaximizeBands); 441 isl_options_set_schedule_max_constant_term(S.getIslCtx(), MaxConstantTerm); 442 isl_options_set_schedule_max_coefficient(S.getIslCtx(), MaxCoefficient); 443 isl_options_set_tile_scale_tile_loops(S.getIslCtx(), 0); 444 445 isl_options_set_on_error(S.getIslCtx(), ISL_ON_ERROR_CONTINUE); 446 447 isl_schedule_constraints *ScheduleConstraints; 448 ScheduleConstraints = isl_schedule_constraints_on_domain(Domain); 449 ScheduleConstraints = 450 isl_schedule_constraints_set_proximity(ScheduleConstraints, Proximity); 451 ScheduleConstraints = isl_schedule_constraints_set_validity( 452 ScheduleConstraints, isl_union_map_copy(Validity)); 453 ScheduleConstraints = 454 isl_schedule_constraints_set_coincidence(ScheduleConstraints, Validity); 455 isl_schedule *Schedule; 456 Schedule = isl_schedule_constraints_compute_schedule(ScheduleConstraints); 457 isl_options_set_on_error(S.getIslCtx(), ISL_ON_ERROR_ABORT); 458 459 // In cases the scheduler is not able to optimize the code, we just do not 460 // touch the schedule. 461 if (!Schedule) 462 return false; 463 464 DEBUG(dbgs() << "Schedule := " << stringFromIslObj(Schedule) << ";\n"); 465 466 isl_union_map *NewSchedule = getScheduleMap(Schedule); 467 468 // Check if the optimizations performed were profitable, otherwise exit early. 469 if (!isProfitableSchedule(S, NewSchedule)) { 470 isl_schedule_free(Schedule); 471 isl_union_map_free(NewSchedule); 472 return false; 473 } 474 475 S.markAsOptimized(); 476 477 for (ScopStmt *Stmt : S) { 478 isl_map *StmtSchedule; 479 isl_set *Domain = Stmt->getDomain(); 480 isl_union_map *StmtBand; 481 StmtBand = isl_union_map_intersect_domain(isl_union_map_copy(NewSchedule), 482 isl_union_set_from_set(Domain)); 483 if (isl_union_map_is_empty(StmtBand)) { 484 StmtSchedule = isl_map_from_domain(isl_set_empty(Stmt->getDomainSpace())); 485 isl_union_map_free(StmtBand); 486 } else { 487 assert(isl_union_map_n_map(StmtBand) == 1); 488 StmtSchedule = isl_map_from_union_map(StmtBand); 489 } 490 491 Stmt->setSchedule(StmtSchedule); 492 } 493 494 isl_schedule_free(Schedule); 495 isl_union_map_free(NewSchedule); 496 return false; 497 } 498 499 void IslScheduleOptimizer::printScop(raw_ostream &OS, Scop &) const { 500 isl_printer *p; 501 char *ScheduleStr; 502 503 OS << "Calculated schedule:\n"; 504 505 if (!LastSchedule) { 506 OS << "n/a\n"; 507 return; 508 } 509 510 p = isl_printer_to_str(isl_schedule_get_ctx(LastSchedule)); 511 p = isl_printer_print_schedule(p, LastSchedule); 512 ScheduleStr = isl_printer_get_str(p); 513 isl_printer_free(p); 514 515 OS << ScheduleStr << "\n"; 516 } 517 518 void IslScheduleOptimizer::getAnalysisUsage(AnalysisUsage &AU) const { 519 ScopPass::getAnalysisUsage(AU); 520 AU.addRequired<DependenceInfo>(); 521 } 522 523 Pass *polly::createIslScheduleOptimizerPass() { 524 return new IslScheduleOptimizer(); 525 } 526 527 INITIALIZE_PASS_BEGIN(IslScheduleOptimizer, "polly-opt-isl", 528 "Polly - Optimize schedule of SCoP", false, false); 529 INITIALIZE_PASS_DEPENDENCY(DependenceInfo); 530 INITIALIZE_PASS_DEPENDENCY(ScopInfo); 531 INITIALIZE_PASS_END(IslScheduleOptimizer, "polly-opt-isl", 532 "Polly - Optimize schedule of SCoP", false, false) 533