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 generates an entirey new schedule tree from the data dependences
11 // and iteration domains. The new schedule tree is computed in two steps:
12 //
13 // 1) The isl scheduling optimizer is run
14 //
15 // The isl scheduling optimizer creates a new schedule tree that maximizes
16 // parallelism and tileability and minimizes data-dependence distances. The
17 // algorithm used is a modified version of the ``Pluto'' algorithm:
18 //
19 //   U. Bondhugula, A. Hartono, J. Ramanujam, and P. Sadayappan.
20 //   A Practical Automatic Polyhedral Parallelizer and Locality Optimizer.
21 //   In Proceedings of the 2008 ACM SIGPLAN Conference On Programming Language
22 //   Design and Implementation, PLDI ’08, pages 101–113. ACM, 2008.
23 //
24 // 2) A set of post-scheduling transformations is applied on the schedule tree.
25 //
26 // These optimizations include:
27 //
28 //  - Tiling of the innermost tilable bands
29 //  - Prevectorization - The coice of a possible outer loop that is strip-mined
30 //                       to the innermost level to enable inner-loop
31 //                       vectorization.
32 //  - Some optimizations for spatial locality are also planned.
33 //
34 // For a detailed description of the schedule tree itself please see section 6
35 // of:
36 //
37 // Polyhedral AST generation is more than scanning polyhedra
38 // Tobias Grosser, Sven Verdoolaege, Albert Cohen
39 // ACM Transations on Programming Languages and Systems (TOPLAS),
40 // 37(4), July 2015
41 // http://www.grosser.es/#pub-polyhedral-AST-generation
42 //
43 // This publication also contains a detailed discussion of the different options
44 // for polyhedral loop unrolling, full/partial tile separation and other uses
45 // of the schedule tree.
46 //
47 //===----------------------------------------------------------------------===//
48 
49 #include "polly/ScheduleOptimizer.h"
50 #include "polly/CodeGen/CodeGeneration.h"
51 #include "polly/DependenceInfo.h"
52 #include "polly/LinkAllPasses.h"
53 #include "polly/Options.h"
54 #include "polly/ScopInfo.h"
55 #include "polly/Support/GICHelper.h"
56 #include "llvm/Support/Debug.h"
57 #include "isl/aff.h"
58 #include "isl/band.h"
59 #include "isl/constraint.h"
60 #include "isl/map.h"
61 #include "isl/options.h"
62 #include "isl/printer.h"
63 #include "isl/schedule.h"
64 #include "isl/schedule_node.h"
65 #include "isl/space.h"
66 #include "isl/union_map.h"
67 #include "isl/union_set.h"
68 
69 using namespace llvm;
70 using namespace polly;
71 
72 #define DEBUG_TYPE "polly-opt-isl"
73 
74 static cl::opt<std::string>
75     OptimizeDeps("polly-opt-optimize-only",
76                  cl::desc("Only a certain kind of dependences (all/raw)"),
77                  cl::Hidden, cl::init("all"), cl::ZeroOrMore,
78                  cl::cat(PollyCategory));
79 
80 static cl::opt<std::string>
81     SimplifyDeps("polly-opt-simplify-deps",
82                  cl::desc("Dependences should be simplified (yes/no)"),
83                  cl::Hidden, cl::init("yes"), cl::ZeroOrMore,
84                  cl::cat(PollyCategory));
85 
86 static cl::opt<int> MaxConstantTerm(
87     "polly-opt-max-constant-term",
88     cl::desc("The maximal constant term allowed (-1 is unlimited)"), cl::Hidden,
89     cl::init(20), cl::ZeroOrMore, cl::cat(PollyCategory));
90 
91 static cl::opt<int> MaxCoefficient(
92     "polly-opt-max-coefficient",
93     cl::desc("The maximal coefficient allowed (-1 is unlimited)"), cl::Hidden,
94     cl::init(20), cl::ZeroOrMore, cl::cat(PollyCategory));
95 
96 static cl::opt<std::string> FusionStrategy(
97     "polly-opt-fusion", cl::desc("The fusion strategy to choose (min/max)"),
98     cl::Hidden, cl::init("min"), cl::ZeroOrMore, cl::cat(PollyCategory));
99 
100 static cl::opt<std::string>
101     MaximizeBandDepth("polly-opt-maximize-bands",
102                       cl::desc("Maximize the band depth (yes/no)"), cl::Hidden,
103                       cl::init("yes"), cl::ZeroOrMore, cl::cat(PollyCategory));
104 
105 static cl::opt<int> PrevectorWidth(
106     "polly-prevect-width",
107     cl::desc(
108         "The number of loop iterations to strip-mine for pre-vectorization"),
109     cl::Hidden, cl::init(4), cl::ZeroOrMore, cl::cat(PollyCategory));
110 
111 static cl::opt<bool> FirstLevelTiling("polly-tiling",
112                                       cl::desc("Enable loop tiling"),
113                                       cl::init(true), cl::ZeroOrMore,
114                                       cl::cat(PollyCategory));
115 
116 static cl::opt<int> FirstLevelDefaultTileSize(
117     "polly-default-tile-size",
118     cl::desc("The default tile size (if not enough were provided by"
119              " --polly-tile-sizes)"),
120     cl::Hidden, cl::init(32), cl::ZeroOrMore, cl::cat(PollyCategory));
121 
122 static cl::list<int> FirstLevelTileSizes(
123     "polly-tile-sizes", cl::desc("A tile size for each loop dimension, filled "
124                                  "with --polly-default-tile-size"),
125     cl::Hidden, cl::ZeroOrMore, cl::CommaSeparated, cl::cat(PollyCategory));
126 
127 static cl::opt<bool>
128     SecondLevelTiling("polly-2nd-level-tiling",
129                       cl::desc("Enable a 2nd level loop of loop tiling"),
130                       cl::init(false), cl::ZeroOrMore, cl::cat(PollyCategory));
131 
132 static cl::opt<int> SecondLevelDefaultTileSize(
133     "polly-2nd-level-default-tile-size",
134     cl::desc("The default 2nd-level tile size (if not enough were provided by"
135              " --polly-2nd-level-tile-sizes)"),
136     cl::Hidden, cl::init(16), cl::ZeroOrMore, cl::cat(PollyCategory));
137 
138 static cl::list<int>
139     SecondLevelTileSizes("polly-2nd-level-tile-sizes",
140                          cl::desc("A tile size for each loop dimension, filled "
141                                   "with --polly-default-tile-size"),
142                          cl::Hidden, cl::ZeroOrMore, cl::CommaSeparated,
143                          cl::cat(PollyCategory));
144 
145 static cl::opt<bool> RegisterTiling("polly-register-tiling",
146                                     cl::desc("Enable register tiling"),
147                                     cl::init(false), cl::ZeroOrMore,
148                                     cl::cat(PollyCategory));
149 
150 static cl::opt<int> RegisterDefaultTileSize(
151     "polly-register-tiling-default-tile-size",
152     cl::desc("The default register tile size (if not enough were provided by"
153              " --polly-register-tile-sizes)"),
154     cl::Hidden, cl::init(2), cl::ZeroOrMore, cl::cat(PollyCategory));
155 
156 static cl::list<int>
157     RegisterTileSizes("polly-register-tile-sizes",
158                       cl::desc("A tile size for each loop dimension, filled "
159                                "with --polly-register-tile-size"),
160                       cl::Hidden, cl::ZeroOrMore, cl::CommaSeparated,
161                       cl::cat(PollyCategory));
162 
163 /// @brief Create an isl_union_set, which describes the isolate option based
164 ///        on IsoalteDomain.
165 ///
166 /// @param IsolateDomain An isl_set whose last dimension is the only one that
167 ///                      should belong to the current band node.
168 static __isl_give isl_union_set *
169 getIsolateOptions(__isl_take isl_set *IsolateDomain) {
170   auto Dims = isl_set_dim(IsolateDomain, isl_dim_set);
171   auto *IsolateRelation = isl_map_from_domain(IsolateDomain);
172   IsolateRelation = isl_map_move_dims(IsolateRelation, isl_dim_out, 0,
173                                       isl_dim_in, Dims - 1, 1);
174   auto *IsolateOption = isl_map_wrap(IsolateRelation);
175   auto *Id = isl_id_alloc(isl_set_get_ctx(IsolateOption), "isolate", NULL);
176   return isl_union_set_from_set(isl_set_set_tuple_id(IsolateOption, Id));
177 }
178 
179 /// @brief Create an isl_union_set, which describes the atomic option for the
180 ///        dimension of the current node.
181 ///
182 /// It may help to reduce the size of generated code.
183 ///
184 /// @param Ctx An isl_ctx, which is used to create the isl_union_set.
185 static __isl_give isl_union_set *getAtomicOptions(__isl_take isl_ctx *Ctx) {
186   auto *Space = isl_space_set_alloc(Ctx, 0, 1);
187   auto *AtomicOption = isl_set_universe(Space);
188   auto *Id = isl_id_alloc(Ctx, "atomic", NULL);
189   return isl_union_set_from_set(isl_set_set_tuple_id(AtomicOption, Id));
190 }
191 
192 /// @brief Make the last dimension of Set to take values
193 ///        from 0 to VectorWidth - 1.
194 ///
195 /// @param Set         A set, which should be modified.
196 /// @param VectorWidth A parameter, which determines the constraint.
197 static __isl_give isl_set *addExtentConstraints(__isl_take isl_set *Set,
198                                                 int VectorWidth) {
199   auto Dims = isl_set_dim(Set, isl_dim_set);
200   auto Space = isl_set_get_space(Set);
201   auto *LocalSpace = isl_local_space_from_space(Space);
202   auto *ExtConstr =
203       isl_constraint_alloc_inequality(isl_local_space_copy(LocalSpace));
204   ExtConstr = isl_constraint_set_constant_si(ExtConstr, 0);
205   ExtConstr =
206       isl_constraint_set_coefficient_si(ExtConstr, isl_dim_set, Dims - 1, 1);
207   Set = isl_set_add_constraint(Set, ExtConstr);
208   ExtConstr = isl_constraint_alloc_inequality(LocalSpace);
209   ExtConstr = isl_constraint_set_constant_si(ExtConstr, VectorWidth - 1);
210   ExtConstr =
211       isl_constraint_set_coefficient_si(ExtConstr, isl_dim_set, Dims - 1, -1);
212   return isl_set_add_constraint(Set, ExtConstr);
213 }
214 
215 /// @brief Build the desired set of partial tile prefixes.
216 ///
217 /// We build a set of partial tile prefixes, which are prefixes of the vector
218 /// loop that have exactly VectorWidth iterations.
219 ///
220 /// 1. Get all prefixes of the vector loop.
221 /// 2. Extend it to a set, which has exactly VectorWidth iterations for
222 ///    any prefix from the set that was built on the previous step.
223 /// 3. Subtract loop domain from it, project out the vector loop dimension and
224 ///    get a set of prefixes, which don’t have exactly VectorWidth iterations.
225 /// 4. Subtract it from all prefixes of the vector loop and get the desired
226 ///    set.
227 ///
228 /// @param ScheduleRange A range of a map, which describes a prefix schedule
229 ///                      relation.
230 static __isl_give isl_set *
231 getPartialTilePrefixes(__isl_take isl_set *ScheduleRange, int VectorWidth) {
232   auto Dims = isl_set_dim(ScheduleRange, isl_dim_set);
233   auto *LoopPrefixes = isl_set_project_out(isl_set_copy(ScheduleRange),
234                                            isl_dim_set, Dims - 1, 1);
235   auto *ExtentPrefixes =
236       isl_set_add_dims(isl_set_copy(LoopPrefixes), isl_dim_set, 1);
237   ExtentPrefixes = addExtentConstraints(ExtentPrefixes, VectorWidth);
238   auto *BadPrefixes = isl_set_subtract(ExtentPrefixes, ScheduleRange);
239   BadPrefixes = isl_set_project_out(BadPrefixes, isl_dim_set, Dims - 1, 1);
240   return isl_set_subtract(LoopPrefixes, BadPrefixes);
241 }
242 
243 __isl_give isl_schedule_node *ScheduleTreeOptimizer::isolateFullPartialTiles(
244     __isl_take isl_schedule_node *Node, int VectorWidth) {
245   assert(isl_schedule_node_get_type(Node) == isl_schedule_node_band);
246   Node = isl_schedule_node_child(Node, 0);
247   Node = isl_schedule_node_child(Node, 0);
248   auto *SchedRelUMap = isl_schedule_node_get_prefix_schedule_relation(Node);
249   auto *ScheduleRelation = isl_map_from_union_map(SchedRelUMap);
250   auto *ScheduleRange = isl_map_range(ScheduleRelation);
251   auto *IsolateDomain = getPartialTilePrefixes(ScheduleRange, VectorWidth);
252   auto *AtomicOption = getAtomicOptions(isl_set_get_ctx(IsolateDomain));
253   auto *IsolateOption = getIsolateOptions(IsolateDomain);
254   Node = isl_schedule_node_parent(Node);
255   Node = isl_schedule_node_parent(Node);
256   auto *Options = isl_union_set_union(IsolateOption, AtomicOption);
257   Node = isl_schedule_node_band_set_ast_build_options(Node, Options);
258   return Node;
259 }
260 
261 __isl_give isl_schedule_node *
262 ScheduleTreeOptimizer::prevectSchedBand(__isl_take isl_schedule_node *Node,
263                                         unsigned DimToVectorize,
264                                         int VectorWidth) {
265   assert(isl_schedule_node_get_type(Node) == isl_schedule_node_band);
266 
267   auto Space = isl_schedule_node_band_get_space(Node);
268   auto ScheduleDimensions = isl_space_dim(Space, isl_dim_set);
269   isl_space_free(Space);
270   assert(DimToVectorize < ScheduleDimensions);
271 
272   if (DimToVectorize > 0) {
273     Node = isl_schedule_node_band_split(Node, DimToVectorize);
274     Node = isl_schedule_node_child(Node, 0);
275   }
276   if (DimToVectorize < ScheduleDimensions - 1)
277     Node = isl_schedule_node_band_split(Node, 1);
278   Space = isl_schedule_node_band_get_space(Node);
279   auto Sizes = isl_multi_val_zero(Space);
280   auto Ctx = isl_schedule_node_get_ctx(Node);
281   Sizes =
282       isl_multi_val_set_val(Sizes, 0, isl_val_int_from_si(Ctx, VectorWidth));
283   Node = isl_schedule_node_band_tile(Node, Sizes);
284   Node = isolateFullPartialTiles(Node, VectorWidth);
285   Node = isl_schedule_node_child(Node, 0);
286   // Make sure the "trivially vectorizable loop" is not unrolled. Otherwise,
287   // we will have troubles to match it in the backend.
288   Node = isl_schedule_node_band_set_ast_build_options(
289       Node, isl_union_set_read_from_str(Ctx, "{ unroll[x]: 1 = 0 }"));
290   Node = isl_schedule_node_band_sink(Node);
291   Node = isl_schedule_node_child(Node, 0);
292   return Node;
293 }
294 
295 __isl_give isl_schedule_node *
296 ScheduleTreeOptimizer::tileNode(__isl_take isl_schedule_node *Node,
297                                 const char *Identifier, ArrayRef<int> TileSizes,
298                                 int DefaultTileSize) {
299   auto Ctx = isl_schedule_node_get_ctx(Node);
300   auto Space = isl_schedule_node_band_get_space(Node);
301   auto Dims = isl_space_dim(Space, isl_dim_set);
302   auto Sizes = isl_multi_val_zero(Space);
303   std::string IdentifierString(Identifier);
304   for (unsigned i = 0; i < Dims; i++) {
305     auto tileSize = i < TileSizes.size() ? TileSizes[i] : DefaultTileSize;
306     Sizes = isl_multi_val_set_val(Sizes, i, isl_val_int_from_si(Ctx, tileSize));
307   }
308   auto TileLoopMarkerStr = IdentifierString + " - Tiles";
309   isl_id *TileLoopMarker =
310       isl_id_alloc(Ctx, TileLoopMarkerStr.c_str(), nullptr);
311   Node = isl_schedule_node_insert_mark(Node, TileLoopMarker);
312   Node = isl_schedule_node_child(Node, 0);
313   Node = isl_schedule_node_band_tile(Node, Sizes);
314   Node = isl_schedule_node_child(Node, 0);
315   auto PointLoopMarkerStr = IdentifierString + " - Points";
316   isl_id *PointLoopMarker =
317       isl_id_alloc(Ctx, PointLoopMarkerStr.c_str(), nullptr);
318   Node = isl_schedule_node_insert_mark(Node, PointLoopMarker);
319   Node = isl_schedule_node_child(Node, 0);
320   return Node;
321 }
322 
323 bool ScheduleTreeOptimizer::isTileableBandNode(
324     __isl_keep isl_schedule_node *Node) {
325   if (isl_schedule_node_get_type(Node) != isl_schedule_node_band)
326     return false;
327 
328   if (isl_schedule_node_n_children(Node) != 1)
329     return false;
330 
331   if (!isl_schedule_node_band_get_permutable(Node))
332     return false;
333 
334   auto Space = isl_schedule_node_band_get_space(Node);
335   auto Dims = isl_space_dim(Space, isl_dim_set);
336   isl_space_free(Space);
337 
338   if (Dims <= 1)
339     return false;
340 
341   auto Child = isl_schedule_node_get_child(Node, 0);
342   auto Type = isl_schedule_node_get_type(Child);
343   isl_schedule_node_free(Child);
344 
345   if (Type != isl_schedule_node_leaf)
346     return false;
347 
348   return true;
349 }
350 
351 __isl_give isl_schedule_node *
352 ScheduleTreeOptimizer::optimizeBand(__isl_take isl_schedule_node *Node,
353                                     void *User) {
354   if (!isTileableBandNode(Node))
355     return Node;
356 
357   if (FirstLevelTiling)
358     Node = tileNode(Node, "1st level tiling", FirstLevelTileSizes,
359                     FirstLevelDefaultTileSize);
360 
361   if (SecondLevelTiling)
362     Node = tileNode(Node, "2nd level tiling", SecondLevelTileSizes,
363                     SecondLevelDefaultTileSize);
364 
365   if (RegisterTiling) {
366     auto *Ctx = isl_schedule_node_get_ctx(Node);
367     Node = tileNode(Node, "Register tiling", RegisterTileSizes,
368                     RegisterDefaultTileSize);
369     Node = isl_schedule_node_band_set_ast_build_options(
370         Node, isl_union_set_read_from_str(Ctx, "{unroll[x]}"));
371   }
372 
373   if (PollyVectorizerChoice == VECTORIZER_NONE)
374     return Node;
375 
376   auto Space = isl_schedule_node_band_get_space(Node);
377   auto Dims = isl_space_dim(Space, isl_dim_set);
378   isl_space_free(Space);
379 
380   for (int i = Dims - 1; i >= 0; i--)
381     if (isl_schedule_node_band_member_get_coincident(Node, i)) {
382       Node = prevectSchedBand(Node, i, PrevectorWidth);
383       break;
384     }
385 
386   return Node;
387 }
388 
389 __isl_give isl_schedule *
390 ScheduleTreeOptimizer::optimizeSchedule(__isl_take isl_schedule *Schedule) {
391   isl_schedule_node *Root = isl_schedule_get_root(Schedule);
392   Root = optimizeScheduleNode(Root);
393   isl_schedule_free(Schedule);
394   auto S = isl_schedule_node_get_schedule(Root);
395   isl_schedule_node_free(Root);
396   return S;
397 }
398 
399 __isl_give isl_schedule_node *ScheduleTreeOptimizer::optimizeScheduleNode(
400     __isl_take isl_schedule_node *Node) {
401   Node = isl_schedule_node_map_descendant_bottom_up(Node, optimizeBand, NULL);
402   return Node;
403 }
404 
405 bool ScheduleTreeOptimizer::isProfitableSchedule(
406     Scop &S, __isl_keep isl_union_map *NewSchedule) {
407   // To understand if the schedule has been optimized we check if the schedule
408   // has changed at all.
409   // TODO: We can improve this by tracking if any necessarily beneficial
410   // transformations have been performed. This can e.g. be tiling, loop
411   // interchange, or ...) We can track this either at the place where the
412   // transformation has been performed or, in case of automatic ILP based
413   // optimizations, by comparing (yet to be defined) performance metrics
414   // before/after the scheduling optimizer
415   // (e.g., #stride-one accesses)
416   isl_union_map *OldSchedule = S.getSchedule();
417   bool changed = !isl_union_map_is_equal(OldSchedule, NewSchedule);
418   isl_union_map_free(OldSchedule);
419   return changed;
420 }
421 
422 namespace {
423 class IslScheduleOptimizer : public ScopPass {
424 public:
425   static char ID;
426   explicit IslScheduleOptimizer() : ScopPass(ID) { LastSchedule = nullptr; }
427 
428   ~IslScheduleOptimizer() { isl_schedule_free(LastSchedule); }
429 
430   /// @brief Optimize the schedule of the SCoP @p S.
431   bool runOnScop(Scop &S) override;
432 
433   /// @brief Print the new schedule for the SCoP @p S.
434   void printScop(raw_ostream &OS, Scop &S) const override;
435 
436   /// @brief Register all analyses and transformation required.
437   void getAnalysisUsage(AnalysisUsage &AU) const override;
438 
439   /// @brief Release the internal memory.
440   void releaseMemory() override {
441     isl_schedule_free(LastSchedule);
442     LastSchedule = nullptr;
443   }
444 
445 private:
446   isl_schedule *LastSchedule;
447 };
448 }
449 
450 char IslScheduleOptimizer::ID = 0;
451 
452 bool IslScheduleOptimizer::runOnScop(Scop &S) {
453 
454   // Skip empty SCoPs but still allow code generation as it will delete the
455   // loops present but not needed.
456   if (S.getSize() == 0) {
457     S.markAsOptimized();
458     return false;
459   }
460 
461   const Dependences &D = getAnalysis<DependenceInfo>().getDependences();
462 
463   if (!D.hasValidDependences())
464     return false;
465 
466   isl_schedule_free(LastSchedule);
467   LastSchedule = nullptr;
468 
469   // Build input data.
470   int ValidityKinds =
471       Dependences::TYPE_RAW | Dependences::TYPE_WAR | Dependences::TYPE_WAW;
472   int ProximityKinds;
473 
474   if (OptimizeDeps == "all")
475     ProximityKinds =
476         Dependences::TYPE_RAW | Dependences::TYPE_WAR | Dependences::TYPE_WAW;
477   else if (OptimizeDeps == "raw")
478     ProximityKinds = Dependences::TYPE_RAW;
479   else {
480     errs() << "Do not know how to optimize for '" << OptimizeDeps << "'"
481            << " Falling back to optimizing all dependences.\n";
482     ProximityKinds =
483         Dependences::TYPE_RAW | Dependences::TYPE_WAR | Dependences::TYPE_WAW;
484   }
485 
486   isl_union_set *Domain = S.getDomains();
487 
488   if (!Domain)
489     return false;
490 
491   isl_union_map *Validity = D.getDependences(ValidityKinds);
492   isl_union_map *Proximity = D.getDependences(ProximityKinds);
493 
494   // Simplify the dependences by removing the constraints introduced by the
495   // domains. This can speed up the scheduling time significantly, as large
496   // constant coefficients will be removed from the dependences. The
497   // introduction of some additional dependences reduces the possible
498   // transformations, but in most cases, such transformation do not seem to be
499   // interesting anyway. In some cases this option may stop the scheduler to
500   // find any schedule.
501   if (SimplifyDeps == "yes") {
502     Validity = isl_union_map_gist_domain(Validity, isl_union_set_copy(Domain));
503     Validity = isl_union_map_gist_range(Validity, isl_union_set_copy(Domain));
504     Proximity =
505         isl_union_map_gist_domain(Proximity, isl_union_set_copy(Domain));
506     Proximity = isl_union_map_gist_range(Proximity, isl_union_set_copy(Domain));
507   } else if (SimplifyDeps != "no") {
508     errs() << "warning: Option -polly-opt-simplify-deps should either be 'yes' "
509               "or 'no'. Falling back to default: 'yes'\n";
510   }
511 
512   DEBUG(dbgs() << "\n\nCompute schedule from: ");
513   DEBUG(dbgs() << "Domain := " << stringFromIslObj(Domain) << ";\n");
514   DEBUG(dbgs() << "Proximity := " << stringFromIslObj(Proximity) << ";\n");
515   DEBUG(dbgs() << "Validity := " << stringFromIslObj(Validity) << ";\n");
516 
517   unsigned IslSerializeSCCs;
518 
519   if (FusionStrategy == "max") {
520     IslSerializeSCCs = 0;
521   } else if (FusionStrategy == "min") {
522     IslSerializeSCCs = 1;
523   } else {
524     errs() << "warning: Unknown fusion strategy. Falling back to maximal "
525               "fusion.\n";
526     IslSerializeSCCs = 0;
527   }
528 
529   int IslMaximizeBands;
530 
531   if (MaximizeBandDepth == "yes") {
532     IslMaximizeBands = 1;
533   } else if (MaximizeBandDepth == "no") {
534     IslMaximizeBands = 0;
535   } else {
536     errs() << "warning: Option -polly-opt-maximize-bands should either be 'yes'"
537               " or 'no'. Falling back to default: 'yes'\n";
538     IslMaximizeBands = 1;
539   }
540 
541   isl_options_set_schedule_serialize_sccs(S.getIslCtx(), IslSerializeSCCs);
542   isl_options_set_schedule_maximize_band_depth(S.getIslCtx(), IslMaximizeBands);
543   isl_options_set_schedule_max_constant_term(S.getIslCtx(), MaxConstantTerm);
544   isl_options_set_schedule_max_coefficient(S.getIslCtx(), MaxCoefficient);
545   isl_options_set_tile_scale_tile_loops(S.getIslCtx(), 0);
546 
547   isl_options_set_on_error(S.getIslCtx(), ISL_ON_ERROR_CONTINUE);
548 
549   isl_schedule_constraints *ScheduleConstraints;
550   ScheduleConstraints = isl_schedule_constraints_on_domain(Domain);
551   ScheduleConstraints =
552       isl_schedule_constraints_set_proximity(ScheduleConstraints, Proximity);
553   ScheduleConstraints = isl_schedule_constraints_set_validity(
554       ScheduleConstraints, isl_union_map_copy(Validity));
555   ScheduleConstraints =
556       isl_schedule_constraints_set_coincidence(ScheduleConstraints, Validity);
557   isl_schedule *Schedule;
558   Schedule = isl_schedule_constraints_compute_schedule(ScheduleConstraints);
559   isl_options_set_on_error(S.getIslCtx(), ISL_ON_ERROR_ABORT);
560 
561   // In cases the scheduler is not able to optimize the code, we just do not
562   // touch the schedule.
563   if (!Schedule)
564     return false;
565 
566   DEBUG({
567     auto *P = isl_printer_to_str(S.getIslCtx());
568     P = isl_printer_set_yaml_style(P, ISL_YAML_STYLE_BLOCK);
569     P = isl_printer_print_schedule(P, Schedule);
570     dbgs() << "NewScheduleTree: \n" << isl_printer_get_str(P) << "\n";
571     isl_printer_free(P);
572   });
573 
574   isl_schedule *NewSchedule = ScheduleTreeOptimizer::optimizeSchedule(Schedule);
575   isl_union_map *NewScheduleMap = isl_schedule_get_map(NewSchedule);
576 
577   if (!ScheduleTreeOptimizer::isProfitableSchedule(S, NewScheduleMap)) {
578     isl_union_map_free(NewScheduleMap);
579     isl_schedule_free(NewSchedule);
580     return false;
581   }
582 
583   S.setScheduleTree(NewSchedule);
584   S.markAsOptimized();
585 
586   isl_union_map_free(NewScheduleMap);
587   return false;
588 }
589 
590 void IslScheduleOptimizer::printScop(raw_ostream &OS, Scop &) const {
591   isl_printer *p;
592   char *ScheduleStr;
593 
594   OS << "Calculated schedule:\n";
595 
596   if (!LastSchedule) {
597     OS << "n/a\n";
598     return;
599   }
600 
601   p = isl_printer_to_str(isl_schedule_get_ctx(LastSchedule));
602   p = isl_printer_print_schedule(p, LastSchedule);
603   ScheduleStr = isl_printer_get_str(p);
604   isl_printer_free(p);
605 
606   OS << ScheduleStr << "\n";
607 }
608 
609 void IslScheduleOptimizer::getAnalysisUsage(AnalysisUsage &AU) const {
610   ScopPass::getAnalysisUsage(AU);
611   AU.addRequired<DependenceInfo>();
612 }
613 
614 Pass *polly::createIslScheduleOptimizerPass() {
615   return new IslScheduleOptimizer();
616 }
617 
618 INITIALIZE_PASS_BEGIN(IslScheduleOptimizer, "polly-opt-isl",
619                       "Polly - Optimize schedule of SCoP", false, false);
620 INITIALIZE_PASS_DEPENDENCY(DependenceInfo);
621 INITIALIZE_PASS_DEPENDENCY(ScopInfo);
622 INITIALIZE_PASS_END(IslScheduleOptimizer, "polly-opt-isl",
623                     "Polly - Optimize schedule of SCoP", false, false)
624