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-rw-r--r--polly/lib/CMakeLists.txt1
-rw-r--r--polly/lib/Transform/DeLICM.cpp765
-rw-r--r--polly/lib/Transform/ZoneAlgo.cpp613
3 files changed, 625 insertions, 754 deletions
diff --git a/polly/lib/CMakeLists.txt b/polly/lib/CMakeLists.txt
index 6e944079b1a..235285ff639 100644
--- a/polly/lib/CMakeLists.txt
+++ b/polly/lib/CMakeLists.txt
@@ -60,6 +60,7 @@ add_library(PollyCore OBJECT
Transform/FlattenAlgo.cpp
Transform/ForwardOpTree.cpp
Transform/DeLICM.cpp
+ Transform/ZoneAlgo.cpp
Transform/Simplify.cpp
${POLLY_HEADER_FILES}
)
diff --git a/polly/lib/Transform/DeLICM.cpp b/polly/lib/Transform/DeLICM.cpp
index fcda48cc7d3..de115cf8e77 100644
--- a/polly/lib/Transform/DeLICM.cpp
+++ b/polly/lib/Transform/DeLICM.cpp
@@ -13,144 +13,6 @@
// Namely, remove register/scalar dependencies by mapping them back to array
// elements.
//
-// The algorithms here work on the scatter space - the image space of the
-// schedule returned by Scop::getSchedule(). We call an element in that space a
-// "timepoint". Timepoints are lexicographically ordered such that we can
-// defined ranges in the scatter space. We use two flavors of such ranges:
-// Timepoint sets and zones. A timepoint set is simply a subset of the scatter
-// space and is directly stored as isl_set.
-//
-// Zones are used to describe the space between timepoints as open sets, i.e.
-// they do not contain the extrema. Using isl rational sets to express these
-// would be overkill. We also cannot store them as the integer timepoints they
-// contain; the (nonempty) zone between 1 and 2 would be empty and
-// indistinguishable from e.g. the zone between 3 and 4. Also, we cannot store
-// the integer set including the extrema; the set ]1,2[ + ]3,4[ could be
-// coalesced to ]1,3[, although we defined the range [2,3] to be not in the set.
-// Instead, we store the "half-open" integer extrema, including the lower bound,
-// but excluding the upper bound. Examples:
-//
-// * The set { [i] : 1 <= i <= 3 } represents the zone ]0,3[ (which contains the
-// integer points 1 and 2, but not 0 or 3)
-//
-// * { [1] } represents the zone ]0,1[
-//
-// * { [i] : i = 1 or i = 3 } represents the zone ]0,1[ + ]2,3[
-//
-// Therefore, an integer i in the set represents the zone ]i-1,i[, i.e. strictly
-// speaking the integer points never belong to the zone. However, depending an
-// the interpretation, one might want to include them. Part of the
-// interpretation may not be known when the zone is constructed.
-//
-// Reads are assumed to always take place before writes, hence we can think of
-// reads taking place at the beginning of a timepoint and writes at the end.
-//
-// Let's assume that the zone represents the lifetime of a variable. That is,
-// the zone begins with a write that defines the value during its lifetime and
-// ends with the last read of that value. In the following we consider whether a
-// read/write at the beginning/ending of the lifetime zone should be within the
-// zone or outside of it.
-//
-// * A read at the timepoint that starts the live-range loads the previous
-// value. Hence, exclude the timepoint starting the zone.
-//
-// * A write at the timepoint that starts the live-range is not defined whether
-// it occurs before or after the write that starts the lifetime. We do not
-// allow this situation to occur. Hence, we include the timepoint starting the
-// zone to determine whether they are conflicting.
-//
-// * A read at the timepoint that ends the live-range reads the same variable.
-// We include the timepoint at the end of the zone to include that read into
-// the live-range. Doing otherwise would mean that the two reads access
-// different values, which would mean that the value they read are both alive
-// at the same time but occupy the same variable.
-//
-// * A write at the timepoint that ends the live-range starts a new live-range.
-// It must not be included in the live-range of the previous definition.
-//
-// All combinations of reads and writes at the endpoints are possible, but most
-// of the time only the write->read (for instance, a live-range from definition
-// to last use) and read->write (for instance, an unused range from last use to
-// overwrite) and combinations are interesting (half-open ranges). write->write
-// zones might be useful as well in some context to represent
-// output-dependencies.
-//
-// @see convertZoneToTimepoints
-//
-//
-// The code makes use of maps and sets in many different spaces. To not loose
-// track in which space a set or map is expected to be in, variables holding an
-// isl reference are usually annotated in the comments. They roughly follow isl
-// syntax for spaces, but only the tuples, not the dimensions. The tuples have a
-// meaning as follows:
-//
-// * Space[] - An unspecified tuple. Used for function parameters such that the
-// function caller can use it for anything they like.
-//
-// * Domain[] - A statement instance as returned by ScopStmt::getDomain()
-// isl_id_get_name: Stmt_<NameOfBasicBlock>
-// isl_id_get_user: Pointer to ScopStmt
-//
-// * Element[] - An array element as in the range part of
-// MemoryAccess::getAccessRelation()
-// isl_id_get_name: MemRef_<NameOfArrayVariable>
-// isl_id_get_user: Pointer to ScopArrayInfo
-//
-// * Scatter[] - Scatter space or space of timepoints
-// Has no tuple id
-//
-// * Zone[] - Range between timepoints as described above
-// Has no tuple id
-//
-// * ValInst[] - An llvm::Value as defined at a specific timepoint.
-//
-// A ValInst[] itself can be structured as one of:
-//
-// * [] - An unknown value.
-// Always zero dimensions
-// Has no tuple id
-//
-// * Value[] - An llvm::Value that is read-only in the SCoP, i.e. its
-// runtime content does not depend on the timepoint.
-// Always zero dimensions
-// isl_id_get_name: Val_<NameOfValue>
-// isl_id_get_user: A pointer to an llvm::Value
-//
-// * SCEV[...] - A synthesizable llvm::SCEV Expression.
-// In contrast to a Value[] is has at least one dimension per
-// SCEVAddRecExpr in the SCEV.
-//
-// * [Domain[] -> Value[]] - An llvm::Value that may change during the
-// Scop's execution.
-// The tuple itself has no id, but it wraps a map space holding a
-// statement instance which defines the llvm::Value as the map's domain
-// and llvm::Value itself as range.
-//
-// @see makeValInst()
-//
-// An annotation "{ Domain[] -> Scatter[] }" therefore means: A map from a
-// statement instance to a timepoint, aka a schedule. There is only one scatter
-// space, but most of the time multiple statements are processed in one set.
-// This is why most of the time isl_union_map has to be used.
-//
-// The basic algorithm works as follows:
-// At first we verify that the SCoP is compatible with this technique. For
-// instance, two writes cannot write to the same location at the same statement
-// instance because we cannot determine within the polyhedral model which one
-// comes first. Once this was verified, we compute zones at which an array
-// element is unused. This computation can fail if it takes too long. Then the
-// main algorithm is executed. Because every store potentially trails an unused
-// zone, we start at stores. We search for a scalar (MemoryKind::Value or
-// MemoryKind::PHI) that we can map to the array element overwritten by the
-// store, preferably one that is used by the store or at least the ScopStmt.
-// When it does not conflict with the lifetime of the values in the array
-// element, the map is applied and the unused zone updated as it is now used. We
-// continue to try to map scalars to the array element until there are no more
-// candidates to map. The algorithm is greedy in the sense that the first scalar
-// not conflicting will be mapped. Other scalars processed later that could have
-// fit the same unused zone will be rejected. As such the result depends on the
-// processing order.
-//
//===----------------------------------------------------------------------===//
#include "polly/DeLICM.h"
@@ -159,7 +21,7 @@
#include "polly/ScopPass.h"
#include "polly/Support/ISLOStream.h"
#include "polly/Support/ISLTools.h"
-#include "polly/Support/VirtualInstruction.h"
+#include "polly/ZoneAlgo.h"
#include "llvm/ADT/Statistic.h"
#define DEBUG_TYPE "polly-delicm"
@@ -199,12 +61,6 @@ STATISTIC(MappedPHIScalars, "Number of mapped PHI scalars");
STATISTIC(TargetsMapped, "Number of stores used for at least one mapping");
STATISTIC(DeLICMScopsModified, "Number of SCoPs optimized");
-isl::union_map computeReachingDefinition(isl::union_map Schedule,
- isl::union_map Writes, bool InclDef,
- bool InclRedef) {
- return computeReachingWrite(Schedule, Writes, false, InclDef, InclRedef);
-}
-
isl::union_map computeReachingOverwrite(isl::union_map Schedule,
isl::union_map Writes,
bool InclPrevWrite,
@@ -265,90 +121,6 @@ isl::map computeScalarReachingOverwrite(isl::union_map Schedule,
return singleton(std::move(ReachOverwrite), ResultSpace);
}
-/// Compute the reaching definition of a scalar.
-///
-/// Compared to computeReachingDefinition, there is just one element which is
-/// accessed and therefore only a set if instances that accesses that element is
-/// required.
-///
-/// @param Schedule { DomainWrite[] -> Scatter[] }
-/// @param Writes { DomainWrite[] }
-/// @param InclDef Include the timepoint of the definition to the result.
-/// @param InclRedef Include the timepoint of the overwrite into the result.
-///
-/// @return { Scatter[] -> DomainWrite[] }
-isl::union_map computeScalarReachingDefinition(isl::union_map Schedule,
- isl::union_set Writes,
- bool InclDef, bool InclRedef) {
-
- // { DomainWrite[] -> Element[] }
- auto Defs = give(isl_union_map_from_domain(Writes.take()));
-
- // { [Element[] -> Scatter[]] -> DomainWrite[] }
- auto ReachDefs =
- computeReachingDefinition(Schedule, Defs, InclDef, InclRedef);
-
- // { Scatter[] -> DomainWrite[] }
- return give(isl_union_set_unwrap(
- isl_union_map_range(isl_union_map_curry(ReachDefs.take()))));
-}
-
-/// Compute the reaching definition of a scalar.
-///
-/// This overload accepts only a single writing statement as an isl_map,
-/// consequently the result also is only a single isl_map.
-///
-/// @param Schedule { DomainWrite[] -> Scatter[] }
-/// @param Writes { DomainWrite[] }
-/// @param InclDef Include the timepoint of the definition to the result.
-/// @param InclRedef Include the timepoint of the overwrite into the result.
-///
-/// @return { Scatter[] -> DomainWrite[] }
-isl::map computeScalarReachingDefinition( // { Domain[] -> Zone[] }
- isl::union_map Schedule, isl::set Writes, bool InclDef, bool InclRedef) {
- auto DomainSpace = give(isl_set_get_space(Writes.keep()));
- auto ScatterSpace = getScatterSpace(Schedule);
-
- // { Scatter[] -> DomainWrite[] }
- auto UMap = computeScalarReachingDefinition(
- Schedule, give(isl_union_set_from_set(Writes.take())), InclDef,
- InclRedef);
-
- auto ResultSpace = give(isl_space_map_from_domain_and_range(
- ScatterSpace.take(), DomainSpace.take()));
- return singleton(UMap, ResultSpace);
-}
-
-/// Create a domain-to-unknown value mapping.
-///
-/// Value instances that do not represent a specific value are represented by an
-/// unnamed tuple of 0 dimensions. Its meaning depends on the context. It can
-/// either mean a specific but unknown value which cannot be represented by
-/// other means. It conflicts with itself because those two unknown ValInsts may
-/// have different concrete values at runtime.
-///
-/// The other meaning is an arbitrary or wildcard value that can be chosen
-/// freely, like LLVM's undef. If matched with an unknown ValInst, there is no
-/// conflict.
-///
-/// @param Domain { Domain[] }
-///
-/// @return { Domain[] -> ValInst[] }
-isl::union_map makeUnknownForDomain(isl::union_set Domain) {
- return give(isl_union_map_from_domain(Domain.take()));
-}
-
-/// Create a domain-to-unknown value mapping.
-///
-/// @see makeUnknownForDomain(isl::union_set)
-///
-/// @param Domain { Domain[] }
-///
-/// @return { Domain[] -> ValInst[] }
-isl::map makeUnknownForDomain(isl::set Domain) {
- return give(isl_map_from_domain(Domain.take()));
-}
-
/// Return whether @p Map maps to an unknown value.
///
/// @param { [] -> ValInst[] }
@@ -766,530 +538,6 @@ public:
}
};
-std::string printIntruction(Instruction *Instr, bool IsForDebug = false) {
- std::string Result;
- raw_string_ostream OS(Result);
- Instr->print(OS, IsForDebug);
- OS.flush();
- size_t i = 0;
- while (i < Result.size() && Result[i] == ' ')
- i += 1;
- return Result.substr(i);
-}
-
-/// Base class for algorithms based on zones, like DeLICM.
-class ZoneAlgorithm {
-protected:
- /// Hold a reference to the isl_ctx to avoid it being freed before we released
- /// all of the isl objects.
- ///
- /// This must be declared before any other member that holds an isl object.
- /// This guarantees that the shared_ptr and its isl_ctx is destructed last,
- /// after all other members free'd the isl objects they were holding.
- std::shared_ptr<isl_ctx> IslCtx;
-
- /// Cached reaching definitions for each ScopStmt.
- ///
- /// Use getScalarReachingDefinition() to get its contents.
- DenseMap<ScopStmt *, isl::map> ScalarReachDefZone;
-
- /// The analyzed Scop.
- Scop *S;
-
- /// LoopInfo analysis used to determine whether values are synthesizable.
- LoopInfo *LI;
-
- /// Parameter space that does not need realignment.
- isl::space ParamSpace;
-
- /// Space the schedule maps to.
- isl::space ScatterSpace;
-
- /// Cached version of the schedule and domains.
- isl::union_map Schedule;
-
- /// Combined access relations of all MemoryKind::Array READ accesses.
- /// { DomainRead[] -> Element[] }
- isl::union_map AllReads;
-
- /// Combined access relations of all MemoryKind::Array, MAY_WRITE accesses.
- /// { DomainMayWrite[] -> Element[] }
- isl::union_map AllMayWrites;
-
- /// Combined access relations of all MemoryKind::Array, MUST_WRITE accesses.
- /// { DomainMustWrite[] -> Element[] }
- isl::union_map AllMustWrites;
-
- /// The value instances written to array elements of all write accesses.
- /// { [Element[] -> DomainWrite[]] -> ValInst[] }
- isl::union_map AllWriteValInst;
-
- /// All reaching definitions for MemoryKind::Array writes.
- /// { [Element[] -> Zone[]] -> DomainWrite[] }
- isl::union_map WriteReachDefZone;
-
- /// Map llvm::Values to an isl identifier.
- /// Used with -polly-use-llvm-names=false as an alternative method to get
- /// unique ids that do not depend on pointer values.
- DenseMap<Value *, isl::id> ValueIds;
-
- /// Prepare the object before computing the zones of @p S.
- ZoneAlgorithm(Scop *S, LoopInfo *LI)
- : IslCtx(S->getSharedIslCtx()), S(S), LI(LI),
- Schedule(give(S->getSchedule())) {
-
- auto Domains = give(S->getDomains());
-
- Schedule =
- give(isl_union_map_intersect_domain(Schedule.take(), Domains.take()));
- ParamSpace = give(isl_union_map_get_space(Schedule.keep()));
- ScatterSpace = getScatterSpace(Schedule);
- }
-
-private:
- /// Check whether @p Stmt can be accurately analyzed by zones.
- ///
- /// What violates our assumptions:
- /// - A load after a write of the same location; we assume that all reads
- /// occur before the writes.
- /// - Two writes to the same location; we cannot model the order in which
- /// these occur.
- ///
- /// Scalar reads implicitly always occur before other accesses therefore never
- /// violate the first condition. There is also at most one write to a scalar,
- /// satisfying the second condition.
- bool isCompatibleStmt(ScopStmt *Stmt) {
- auto Stores = makeEmptyUnionMap();
- auto Loads = makeEmptyUnionMap();
-
- // This assumes that the MemoryKind::Array MemoryAccesses are iterated in
- // order.
- for (auto *MA : *Stmt) {
- if (!MA->isLatestArrayKind())
- continue;
-
- auto AccRel =
- give(isl_union_map_from_map(getAccessRelationFor(MA).take()));
-
- if (MA->isRead()) {
- // Reject load after store to same location.
- if (!isl_union_map_is_disjoint(Stores.keep(), AccRel.keep())) {
- OptimizationRemarkMissed R(DEBUG_TYPE, "LoadAfterStore",
- MA->getAccessInstruction());
- R << "load after store of same element in same statement";
- R << " (previous stores: " << Stores;
- R << ", loading: " << AccRel << ")";
- S->getFunction().getContext().diagnose(R);
- return false;
- }
-
- Loads = give(isl_union_map_union(Loads.take(), AccRel.take()));
-
- continue;
- }
-
- if (!isa<StoreInst>(MA->getAccessInstruction())) {
- DEBUG(dbgs() << "WRITE that is not a StoreInst not supported\n");
- OptimizationRemarkMissed R(DEBUG_TYPE, "UnusualStore",
- MA->getAccessInstruction());
- R << "encountered write that is not a StoreInst: "
- << printIntruction(MA->getAccessInstruction());
- S->getFunction().getContext().diagnose(R);
- return false;
- }
-
- // In region statements the order is less clear, eg. the load and store
- // might be in a boxed loop.
- if (Stmt->isRegionStmt() &&
- !isl_union_map_is_disjoint(Loads.keep(), AccRel.keep())) {
- OptimizationRemarkMissed R(DEBUG_TYPE, "StoreInSubregion",
- MA->getAccessInstruction());
- R << "store is in a non-affine subregion";
- S->getFunction().getContext().diagnose(R);
- return false;
- }
-
- // Do not allow more than one store to the same location.
- if (!isl_union_map_is_disjoint(Stores.keep(), AccRel.keep())) {
- OptimizationRemarkMissed R(DEBUG_TYPE, "StoreAfterStore",
- MA->getAccessInstruction());
- R << "store after store of same element in same statement";
- R << " (previous stores: " << Stores;
- R << ", storing: " << AccRel << ")";
- S->getFunction().getContext().diagnose(R);
- return false;
- }
-
- Stores = give(isl_union_map_union(Stores.take(), AccRel.take()));
- }
-
- return true;
- }
-
- void addArrayReadAccess(MemoryAccess *MA) {
- assert(MA->isLatestArrayKind());
- assert(MA->isRead());
-
- // { DomainRead[] -> Element[] }
- auto AccRel = getAccessRelationFor(MA);
- AllReads = give(isl_union_map_add_map(AllReads.take(), AccRel.copy()));
- }
-
- void addArrayWriteAccess(MemoryAccess *MA) {
- assert(MA->isLatestArrayKind());
- assert(MA->isWrite());
- auto *Stmt = MA->getStatement();
-
- // { Domain[] -> Element[] }
- auto AccRel = getAccessRelationFor(MA);
-
- if (MA->isMustWrite())
- AllMustWrites =
- give(isl_union_map_add_map(AllMustWrites.take(), AccRel.copy()));
-
- if (MA->isMayWrite())
- AllMayWrites =
- give(isl_union_map_add_map(AllMayWrites.take(), AccRel.copy()));
-
- // { Domain[] -> ValInst[] }
- auto WriteValInstance =
- makeValInst(MA->getAccessValue(), Stmt,
- LI->getLoopFor(MA->getAccessInstruction()->getParent()),
- MA->isMustWrite());
-
- // { Domain[] -> [Element[] -> Domain[]] }
- auto IncludeElement =
- give(isl_map_curry(isl_map_domain_map(AccRel.copy())));
-
- // { [Element[] -> DomainWrite[]] -> ValInst[] }
- auto EltWriteValInst = give(
- isl_map_apply_domain(WriteValInstance.take(), IncludeElement.take()));
-
- AllWriteValInst = give(
- isl_union_map_add_map(AllWriteValInst.take(), EltWriteValInst.take()));
- }
-
-protected:
- isl::union_set makeEmptyUnionSet() const {
- return give(isl_union_set_empty(ParamSpace.copy()));
- }
-
- isl::union_map makeEmptyUnionMap() const {
- return give(isl_union_map_empty(ParamSpace.copy()));
- }
-
- /// Check whether @p S can be accurately analyzed by zones.
- bool isCompatibleScop() {
- for (auto &Stmt : *S) {
- if (!isCompatibleStmt(&Stmt))
- return false;
- }
- return true;
- }
-
- /// Get the schedule for @p Stmt.
- ///
- /// The domain of the result is as narrow as possible.
- isl::map getScatterFor(ScopStmt *Stmt) const {
- auto ResultSpace = give(isl_space_map_from_domain_and_range(
- Stmt->getDomainSpace(), ScatterSpace.copy()));
- return give(isl_union_map_extract_map(Schedule.keep(), ResultSpace.take()));
- }
-
- /// Get the schedule of @p MA's parent statement.
- isl::map getScatterFor(MemoryAccess *MA) const {
- return getScatterFor(MA->getStatement());
- }
-
- /// Get the schedule for the statement instances of @p Domain.
- isl::union_map getScatterFor(isl::union_set Domain) const {
- return give(isl_union_map_intersect_domain(Schedule.copy(), Domain.take()));
- }
-
- /// Get the schedule for the statement instances of @p Domain.
- isl::map getScatterFor(isl::set Domain) const {
- auto ResultSpace = give(isl_space_map_from_domain_and_range(
- isl_set_get_space(Domain.keep()), ScatterSpace.copy()));
- auto UDomain = give(isl_union_set_from_set(Domain.copy()));
- auto UResult = getScatterFor(std::move(UDomain));
- auto Result = singleton(std::move(UResult), std::move(ResultSpace));
- assert(!Result ||
- isl_set_is_equal(give(isl_map_domain(Result.copy())).keep(),
- Domain.keep()) == isl_bool_true);
- return Result;
- }
-
- /// Get the domain of @p Stmt.
- isl::set getDomainFor(ScopStmt *Stmt) const {
- return give(isl_set_remove_redundancies(Stmt->getDomain()));
- }
-
- /// Get the domain @p MA's parent statement.
- isl::set getDomainFor(MemoryAccess *MA) const {
- return getDomainFor(MA->getStatement());
- }
-
- /// Get the access relation of @p MA.
- ///
- /// The domain of the result is as narrow as possible.
- isl::map getAccessRelationFor(MemoryAccess *MA) const {
- auto Domain = getDomainFor(MA);
- auto AccRel = MA->getLatestAccessRelation();
- return give(isl_map_intersect_domain(AccRel.take(), Domain.take()));
- }
-
- /// Get the reaching definition of a scalar defined in @p Stmt.
- ///
- /// Note that this does not depend on the llvm::Instruction, only on the
- /// statement it is defined in. Therefore the same computation can be reused.
- ///
- /// @param Stmt The statement in which a scalar is defined.
- ///
- /// @return { Scatter[] -> DomainDef[] }
- isl::map getScalarReachingDefinition(ScopStmt *Stmt) {
- auto &Result = ScalarReachDefZone[Stmt];
- if (Result)
- return Result;
-
- auto Domain = getDomainFor(Stmt);
- Result = computeScalarReachingDefinition(Schedule, Domain, false, true);
- simplify(Result);
-
- return Result;
- }
-
- /// Get the reaching definition of a scalar defined in @p DefDomain.
- ///
- /// @param DomainDef { DomainDef[] }
- /// The write statements to get the reaching definition for.
- ///
- /// @return { Scatter[] -> DomainDef[] }
- isl::map getScalarReachingDefinition(isl::set DomainDef) {
- auto DomId = give(isl_set_get_tuple_id(DomainDef.keep()));
- auto *Stmt = static_cast<ScopStmt *>(isl_id_get_user(DomId.keep()));
-
- auto StmtResult = getScalarReachingDefinition(Stmt);
-
- return give(isl_map_intersect_range(StmtResult.take(), DomainDef.take()));
- }
-
- /// Create a statement-to-unknown value mapping.
- ///
- /// @param Stmt The statement whose instances are mapped to unknown.
- ///
- /// @return { Domain[] -> ValInst[] }
- isl::map makeUnknownForDomain(ScopStmt *Stmt) const {
- return ::makeUnknownForDomain(getDomainFor(Stmt));
- }
-
- /// Create an isl_id that represents @p V.
- isl::id makeValueId(Value *V) {
- if (!V)
- return nullptr;
-
- auto &Id = ValueIds[V];
- if (Id.is_null()) {
- auto Name = getIslCompatibleName("Val_", V, ValueIds.size() - 1,
- std::string(), UseInstructionNames);
- Id = give(isl_id_alloc(IslCtx.get(), Name.c_str(), V));
- }
- return Id;
- }
-
- /// Create the space for an llvm::Value that is available everywhere.
- isl::space makeValueSpace(Value *V) {
- auto Result = give(isl_space_set_from_params(ParamSpace.copy()));
- return give(isl_space_set_tuple_id(Result.take(), isl_dim_set,
- makeValueId(V).take()));
- }
-
- /// Create a set with the llvm::Value @p V which is available everywhere.
- isl::set makeValueSet(Value *V) {
- auto Space = makeValueSpace(V);
- return give(isl_set_universe(Space.take()));
- }
-
- /// Create a mapping from a statement instance to the instance of an
- /// llvm::Value that can be used in there.
- ///
- /// Although LLVM IR uses single static assignment, llvm::Values can have
- /// different contents in loops, when they get redefined in the last
- /// iteration. This function tries to get the statement instance of the
- /// previous definition, relative to a user.
- ///
- /// Example:
- /// for (int i = 0; i < N; i += 1) {
- /// DEF:
- /// int v = A[i];
- /// USE:
- /// use(v);
- /// }
- ///
- /// The value instance used by statement instance USE[i] is DEF[i]. Hence,
- /// makeValInst returns:
- ///
- /// { USE[i] -> [DEF[i] -> v[]] : 0 <= i < N }
- ///
- /// @param Val The value to get the instance of.
- /// @param UserStmt The statement that uses @p Val. Can be nullptr.
- /// @param Scope Loop the using instruction resides in.
- /// @param IsCertain Pass true if the definition of @p Val is a
- /// MUST_WRITE or false if the write is conditional.
- ///
- /// @return { DomainUse[] -> ValInst[] }
- isl::map makeValInst(Value *Val, ScopStmt *UserStmt, Loop *Scope,
- bool IsCertain = true) {
- // When known knowledge is disabled, just return the unknown value. It will
- // either get filtered out or conflict with itself.
- if (!DelicmComputeKnown)
- return makeUnknownForDomain(UserStmt);
-
- // If the definition/write is conditional, the value at the location could
- // be either the written value or the old value. Since we cannot know which
- // one, consider the value to be unknown.
- if (!IsCertain)
- return makeUnknownForDomain(UserStmt);
-
- auto DomainUse = getDomainFor(UserStmt);
- auto VUse = VirtualUse::create(S, UserStmt, Scope, Val, true);
- switch (VUse.getKind()) {
- case VirtualUse::Constant:
- case VirtualUse::Block:
- case VirtualUse::Hoisted:
- case VirtualUse::ReadOnly: {
- // The definition does not depend on the statement which uses it.
- auto ValSet = makeValueSet(Val);
- return give(
- isl_map_from_domain_and_range(DomainUse.take(), ValSet.take()));
- }
-
- case VirtualUse::Synthesizable: {
- auto *ScevExpr = VUse.getScevExpr();
- auto UseDomainSpace = give(isl_set_get_space(DomainUse.keep()));
-
- // Construct the SCEV space.
- // TODO: Add only the induction variables referenced in SCEVAddRecExpr
- // expressions, not just all of them.
- auto ScevId = give(isl_id_alloc(UseDomainSpace.get_ctx().get(), nullptr,
- const_cast<SCEV *>(ScevExpr)));
- auto ScevSpace =
- give(isl_space_drop_dims(UseDomainSpace.copy(), isl_dim_set, 0, 0));
- ScevSpace = give(
- isl_space_set_tuple_id(ScevSpace.take(), isl_dim_set, ScevId.copy()));
-
- // { DomainUse[] -> ScevExpr[] }
- auto ValInst = give(isl_map_identity(isl_space_map_from_domain_and_range(
- UseDomainSpace.copy(), ScevSpace.copy())));
- return ValInst;
- }
-
- case VirtualUse::Intra: {
- // Definition and use is in the same statement. We do not need to compute
- // a reaching definition.
-
- // { llvm::Value }
- auto ValSet = makeValueSet(Val);
-
- // { UserDomain[] -> llvm::Value }
- auto ValInstSet =
- give(isl_map_from_domain_and_range(DomainUse.take(), ValSet.take()));
-
- // { UserDomain[] -> [UserDomain[] - >llvm::Value] }
- auto Result =
- give(isl_map_reverse(isl_map_domain_map(ValInstSet.take())));
- simplify(Result);
- return Result;
- }
-
- case VirtualUse::Inter: {
- // The value is defined in a different statement.
-
- auto *Inst = cast<Instruction>(Val);
- auto *ValStmt = S->getStmtFor(Inst);
-
- // If the llvm::Value is defined in a removed Stmt, we cannot derive its
- // domain. We could use an arbitrary statement, but this could result in
- // different ValInst[] for the same llvm::Value.
- if (!ValStmt)
- return ::makeUnknownForDomain(DomainUse);
-
- // { DomainDef[] }
- auto DomainDef = getDomainFor(ValStmt);
-
- // { Scatter[] -> DomainDef[] }
- auto ReachDef = getScalarReachingDefinition(DomainDef);
-
- // { DomainUse[] -> Scatter[] }
- auto UserSched = getScatterFor(DomainUse);
-
- // { DomainUse[] -> DomainDef[] }
- auto UsedInstance =
- give(isl_map_apply_range(UserSched.take(), ReachDef.take()));
-
- // { llvm::Value }
- auto ValSet = makeValueSet(Val);
-
- // { DomainUse[] -> llvm::Value[] }
- auto ValInstSet =
- give(isl_map_from_domain_and_range(DomainUse.take(), ValSet.take()));
-
- // { DomainUse[] -> [DomainDef[] -> llvm::Value] }
- auto Result =
- give(isl_map_range_product(UsedInstance.take(), ValInstSet.take()));
-
- simplify(Result);
- return Result;
- }
- }
- llvm_unreachable("Unhandled use type");
- }
-
- /// Compute the different zones.
- void computeCommon() {
- AllReads = makeEmptyUnionMap();
- AllMayWrites = makeEmptyUnionMap();
- AllMustWrites = makeEmptyUnionMap();
- AllWriteValInst = makeEmptyUnionMap();
-
- for (auto &Stmt : *S) {
- for (auto *MA : Stmt) {
- if (!MA->isLatestArrayKind())
- continue;
-
- if (MA->isRead())
- addArrayReadAccess(MA);
-
- if (MA->isWrite())
- addArrayWriteAccess(MA);
- }
- }
-
- // { DomainWrite[] -> Element[] }
- auto AllWrites =
- give(isl_union_map_union(AllMustWrites.copy(), AllMayWrites.copy()));
-
- // { [Element[] -> Zone[]] -> DomainWrite[] }
- WriteReachDefZone =
- computeReachingDefinition(Schedule, AllWrites, false, true);
- simplify(WriteReachDefZone);
- }
-
- /// Print the current state of all MemoryAccesses to @p.
- void printAccesses(llvm::raw_ostream &OS, int Indent = 0) const {
- OS.indent(Indent) << "After accesses {\n";
- for (auto &Stmt : *S) {
- OS.indent(Indent + 4) << Stmt.getBaseName() << "\n";
- for (auto *MA : Stmt)
- MA->print(OS);
- }
- OS.indent(Indent) << "}\n";
- }
-
-public:
- /// Return the SCoP this object is analyzing.
- Scop *getScop() const { return S; }
-};
-
/// Implementation of the DeLICM/DePRE transformation.
class DeLICMImpl : public ZoneAlgorithm {
private:
@@ -1611,6 +859,15 @@ private:
NumberOfMappedValueScalars += 1;
}
+ isl::map makeValInst(Value *Val, ScopStmt *UserStmt, Loop *Scope,
+ bool IsCertain = true) {
+ // When known knowledge is disabled, just return the unknown value. It will
+ // either get filtered out or conflict with itself.
+ if (!DelicmComputeKnown)
+ return makeUnknownForDomain(UserStmt);
+ return ZoneAlgorithm::makeValInst(Val, UserStmt, Scope, IsCertain);
+ }
+
/// Express the incoming values of a PHI for each incoming statement in an
/// isl::union_map.
///
@@ -2012,7 +1269,7 @@ private:
bool isModified() const { return NumberOfTargetsMapped > 0; }
public:
- DeLICMImpl(Scop *S, LoopInfo *LI) : ZoneAlgorithm(S, LI) {}
+ DeLICMImpl(Scop *S, LoopInfo *LI) : ZoneAlgorithm("polly-delicm", S, LI) {}
/// Calculate the lifetime (definition to last use) of every array element.
///
diff --git a/polly/lib/Transform/ZoneAlgo.cpp b/polly/lib/Transform/ZoneAlgo.cpp
new file mode 100644
index 00000000000..917f55ea366
--- /dev/null
+++ b/polly/lib/Transform/ZoneAlgo.cpp
@@ -0,0 +1,613 @@
+//===------ ZoneAlgo.cpp ----------------------------------------*- C++ -*-===//
+//
+// The LLVM Compiler Infrastructure
+//
+// This file is distributed under the University of Illinois Open Source
+// License. See LICENSE.TXT for details.
+//
+//===----------------------------------------------------------------------===//
+//
+// Derive information about array elements between statements ("Zones").
+//
+// The algorithms here work on the scatter space - the image space of the
+// schedule returned by Scop::getSchedule(). We call an element in that space a
+// "timepoint". Timepoints are lexicographically ordered such that we can
+// defined ranges in the scatter space. We use two flavors of such ranges:
+// Timepoint sets and zones. A timepoint set is simply a subset of the scatter
+// space and is directly stored as isl_set.
+//
+// Zones are used to describe the space between timepoints as open sets, i.e.
+// they do not contain the extrema. Using isl rational sets to express these
+// would be overkill. We also cannot store them as the integer timepoints they
+// contain; the (nonempty) zone between 1 and 2 would be empty and
+// indistinguishable from e.g. the zone between 3 and 4. Also, we cannot store
+// the integer set including the extrema; the set ]1,2[ + ]3,4[ could be
+// coalesced to ]1,3[, although we defined the range [2,3] to be not in the set.
+// Instead, we store the "half-open" integer extrema, including the lower bound,
+// but excluding the upper bound. Examples:
+//
+// * The set { [i] : 1 <= i <= 3 } represents the zone ]0,3[ (which contains the
+// integer points 1 and 2, but not 0 or 3)
+//
+// * { [1] } represents the zone ]0,1[
+//
+// * { [i] : i = 1 or i = 3 } represents the zone ]0,1[ + ]2,3[
+//
+// Therefore, an integer i in the set represents the zone ]i-1,i[, i.e. strictly
+// speaking the integer points never belong to the zone. However, depending an
+// the interpretation, one might want to include them. Part of the
+// interpretation may not be known when the zone is constructed.
+//
+// Reads are assumed to always take place before writes, hence we can think of
+// reads taking place at the beginning of a timepoint and writes at the end.
+//
+// Let's assume that the zone represents the lifetime of a variable. That is,
+// the zone begins with a write that defines the value during its lifetime and
+// ends with the last read of that value. In the following we consider whether a
+// read/write at the beginning/ending of the lifetime zone should be within the
+// zone or outside of it.
+//
+// * A read at the timepoint that starts the live-range loads the previous
+// value. Hence, exclude the timepoint starting the zone.
+//
+// * A write at the timepoint that starts the live-range is not defined whether
+// it occurs before or after the write that starts the lifetime. We do not
+// allow this situation to occur. Hence, we include the timepoint starting the
+// zone to determine whether they are conflicting.
+//
+// * A read at the timepoint that ends the live-range reads the same variable.
+// We include the timepoint at the end of the zone to include that read into
+// the live-range. Doing otherwise would mean that the two reads access
+// different values, which would mean that the value they read are both alive
+// at the same time but occupy the same variable.
+//
+// * A write at the timepoint that ends the live-range starts a new live-range.
+// It must not be included in the live-range of the previous definition.
+//
+// All combinations of reads and writes at the endpoints are possible, but most
+// of the time only the write->read (for instance, a live-range from definition
+// to last use) and read->write (for instance, an unused range from last use to
+// overwrite) and combinations are interesting (half-open ranges). write->write
+// zones might be useful as well in some context to represent
+// output-dependencies.
+//
+// @see convertZoneToTimepoints
+//
+//
+// The code makes use of maps and sets in many different spaces. To not loose
+// track in which space a set or map is expected to be in, variables holding an
+// isl reference are usually annotated in the comments. They roughly follow isl
+// syntax for spaces, but only the tuples, not the dimensions. The tuples have a
+// meaning as follows:
+//
+// * Space[] - An unspecified tuple. Used for function parameters such that the
+// function caller can use it for anything they like.
+//
+// * Domain[] - A statement instance as returned by ScopStmt::getDomain()
+// isl_id_get_name: Stmt_<NameOfBasicBlock>
+// isl_id_get_user: Pointer to ScopStmt
+//
+// * Element[] - An array element as in the range part of
+// MemoryAccess::getAccessRelation()
+// isl_id_get_name: MemRef_<NameOfArrayVariable>
+// isl_id_get_user: Pointer to ScopArrayInfo
+//
+// * Scatter[] - Scatter space or space of timepoints
+// Has no tuple id
+//
+// * Zone[] - Range between timepoints as described above
+// Has no tuple id
+//
+// * ValInst[] - An llvm::Value as defined at a specific timepoint.
+//
+// A ValInst[] itself can be structured as one of:
+//
+// * [] - An unknown value.
+// Always zero dimensions
+// Has no tuple id
+//
+// * Value[] - An llvm::Value that is read-only in the SCoP, i.e. its
+// runtime content does not depend on the timepoint.
+// Always zero dimensions
+// isl_id_get_name: Val_<NameOfValue>
+// isl_id_get_user: A pointer to an llvm::Value
+//
+// * SCEV[...] - A synthesizable llvm::SCEV Expression.
+// In contrast to a Value[] is has at least one dimension per
+// SCEVAddRecExpr in the SCEV.
+//
+// * [Domain[] -> Value[]] - An llvm::Value that may change during the
+// Scop's execution.
+// The tuple itself has no id, but it wraps a map space holding a
+// statement instance which defines the llvm::Value as the map's domain
+// and llvm::Value itself as range.
+//
+// @see makeValInst()
+//
+// An annotation "{ Domain[] -> Scatter[] }" therefore means: A map from a
+// statement instance to a timepoint, aka a schedule. There is only one scatter
+// space, but most of the time multiple statements are processed in one set.
+// This is why most of the time isl_union_map has to be used.
+//
+// The basic algorithm works as follows:
+// At first we verify that the SCoP is compatible with this technique. For
+// instance, two writes cannot write to the same location at the same statement
+// instance because we cannot determine within the polyhedral model which one
+// comes first. Once this was verified, we compute zones at which an array
+// element is unused. This computation can fail if it takes too long. Then the
+// main algorithm is executed. Because every store potentially trails an unused
+// zone, we start at stores. We search for a scalar (MemoryKind::Value or
+// MemoryKind::PHI) that we can map to the array element overwritten by the
+// store, preferably one that is used by the store or at least the ScopStmt.
+// When it does not conflict with the lifetime of the values in the array
+// element, the map is applied and the unused zone updated as it is now used. We
+// continue to try to map scalars to the array element until there are no more
+// candidates to map. The algorithm is greedy in the sense that the first scalar
+// not conflicting will be mapped. Other scalars processed later that could have
+// fit the same unused zone will be rejected. As such the result depends on the
+// processing order.
+//
+//===----------------------------------------------------------------------===//
+
+#include "polly/ZoneAlgo.h"
+#include "polly/ScopInfo.h"
+#include "polly/Support/GICHelper.h"
+#include "polly/Support/ISLTools.h"
+#include "polly/Support/VirtualInstruction.h"
+
+#define DEBUG_TYPE "polly-zone"
+
+using namespace polly;
+using namespace llvm;
+
+static isl::union_map computeReachingDefinition(isl::union_map Schedule,
+ isl::union_map Writes,
+ bool InclDef, bool InclRedef) {
+ return computeReachingWrite(Schedule, Writes, false, InclDef, InclRedef);
+}
+
+/// Compute the reaching definition of a scalar.
+///
+/// Compared to computeReachingDefinition, there is just one element which is
+/// accessed and therefore only a set if instances that accesses that element is
+/// required.
+///
+/// @param Schedule { DomainWrite[] -> Scatter[] }
+/// @param Writes { DomainWrite[] }
+/// @param InclDef Include the timepoint of the definition to the result.
+/// @param InclRedef Include the timepoint of the overwrite into the result.
+///
+/// @return { Scatter[] -> DomainWrite[] }
+static isl::union_map computeScalarReachingDefinition(isl::union_map Schedule,
+ isl::union_set Writes,
+ bool InclDef,
+ bool InclRedef) {
+
+ // { DomainWrite[] -> Element[] }
+ auto Defs = give(isl_union_map_from_domain(Writes.take()));
+
+ // { [Element[] -> Scatter[]] -> DomainWrite[] }
+ auto ReachDefs =
+ computeReachingDefinition(Schedule, Defs, InclDef, InclRedef);
+
+ // { Scatter[] -> DomainWrite[] }
+ return give(isl_union_set_unwrap(
+ isl_union_map_range(isl_union_map_curry(ReachDefs.take()))));
+}
+
+/// Compute the reaching definition of a scalar.
+///
+/// This overload accepts only a single writing statement as an isl_map,
+/// consequently the result also is only a single isl_map.
+///
+/// @param Schedule { DomainWrite[] -> Scatter[] }
+/// @param Writes { DomainWrite[] }
+/// @param InclDef Include the timepoint of the definition to the result.
+/// @param InclRedef Include the timepoint of the overwrite into the result.
+///
+/// @return { Scatter[] -> DomainWrite[] }
+static isl::map computeScalarReachingDefinition(isl::union_map Schedule,
+ isl::set Writes, bool InclDef,
+ bool InclRedef) {
+ auto DomainSpace = give(isl_set_get_space(Writes.keep()));
+ auto ScatterSpace = getScatterSpace(Schedule);
+
+ // { Scatter[] -> DomainWrite[] }
+ auto UMap = computeScalarReachingDefinition(
+ Schedule, give(isl_union_set_from_set(Writes.take())), InclDef,
+ InclRedef);
+
+ auto ResultSpace = give(isl_space_map_from_domain_and_range(
+ ScatterSpace.take(), DomainSpace.take()));
+ return singleton(UMap, ResultSpace);
+}
+
+isl::union_map polly::makeUnknownForDomain(isl::union_set Domain) {
+ return give(isl_union_map_from_domain(Domain.take()));
+}
+
+/// Create a domain-to-unknown value mapping.
+///
+/// @see makeUnknownForDomain(isl::union_set)
+///
+/// @param Domain { Domain[] }
+///
+/// @return { Domain[] -> ValInst[] }
+static isl::map makeUnknownForDomain(isl::set Domain) {
+ return give(isl_map_from_domain(Domain.take()));
+}
+
+static std::string printInstruction(Instruction *Instr,
+ bool IsForDebug = false) {
+ std::string Result;
+ raw_string_ostream OS(Result);
+ Instr->print(OS, IsForDebug);
+ OS.flush();
+ size_t i = 0;
+ while (i < Result.size() && Result[i] == ' ')
+ i += 1;
+ return Result.substr(i);
+}
+
+ZoneAlgorithm::ZoneAlgorithm(const char *PassName, Scop *S, LoopInfo *LI)
+ : PassName(PassName), IslCtx(S->getSharedIslCtx()), S(S), LI(LI),
+ Schedule(give(S->getSchedule())) {
+ auto Domains = give(S->getDomains());
+
+ Schedule =
+ give(isl_union_map_intersect_domain(Schedule.take(), Domains.take()));
+ ParamSpace = give(isl_union_map_get_space(Schedule.keep()));
+ ScatterSpace = getScatterSpace(Schedule);
+}
+
+bool ZoneAlgorithm::isCompatibleStmt(ScopStmt *Stmt) {
+ auto Stores = makeEmptyUnionMap();
+ auto Loads = makeEmptyUnionMap();
+
+ // This assumes that the MemoryKind::Array MemoryAccesses are iterated in
+ // order.
+ for (auto *MA : *Stmt) {
+ if (!MA->isLatestArrayKind())
+ continue;
+
+ auto AccRel = give(isl_union_map_from_map(getAccessRelationFor(MA).take()));
+
+ if (MA->isRead()) {
+ // Reject load after store to same location.
+ if (!isl_union_map_is_disjoint(Stores.keep(), AccRel.keep())) {
+ OptimizationRemarkMissed R(PassName, "LoadAfterStore",
+ MA->getAccessInstruction());
+ R << "load after store of same element in same statement";
+ R << " (previous stores: " << Stores;
+ R << ", loading: " << AccRel << ")";
+ S->getFunction().getContext().diagnose(R);
+ return false;
+ }
+
+ Loads = give(isl_union_map_union(Loads.take(), AccRel.take()));
+
+ continue;
+ }
+
+ if (!isa<StoreInst>(MA->getAccessInstruction())) {
+ DEBUG(dbgs() << "WRITE that is not a StoreInst not supported\n");
+ OptimizationRemarkMissed R(PassName, "UnusualStore",
+ MA->getAccessInstruction());
+ R << "encountered write that is not a StoreInst: "
+ << printInstruction(MA->getAccessInstruction());
+ S->getFunction().getContext().diagnose(R);
+ return false;
+ }
+
+ // In region statements the order is less clear, eg. the load and store
+ // might be in a boxed loop.
+ if (Stmt->isRegionStmt() &&
+ !isl_union_map_is_disjoint(Loads.keep(), AccRel.keep())) {
+ OptimizationRemarkMissed R(PassName, "StoreInSubregion",
+ MA->getAccessInstruction());
+ R << "store is in a non-affine subregion";
+ S->getFunction().getContext().diagnose(R);
+ return false;
+ }
+
+ // Do not allow more than one store to the same location.
+ if (!isl_union_map_is_disjoint(Stores.keep(), AccRel.keep())) {
+ OptimizationRemarkMissed R(PassName, "StoreAfterStore",
+ MA->getAccessInstruction());
+ R << "store after store of same element in same statement";
+ R << " (previous stores: " << Stores;
+ R << ", storing: " << AccRel << ")";
+ S->getFunction().getContext().diagnose(R);
+ return false;
+ }
+
+ Stores = give(isl_union_map_union(Stores.take(), AccRel.take()));
+ }
+
+ return true;
+}
+
+void ZoneAlgorithm::addArrayReadAccess(MemoryAccess *MA) {
+ assert(MA->isLatestArrayKind());
+ assert(MA->isRead());
+
+ // { DomainRead[] -> Element[] }
+ auto AccRel = getAccessRelationFor(MA);
+ AllReads = give(isl_union_map_add_map(AllReads.take(), AccRel.copy()));
+}
+
+void ZoneAlgorithm::addArrayWriteAccess(MemoryAccess *MA) {
+ assert(MA->isLatestArrayKind());
+ assert(MA->isWrite());
+ auto *Stmt = MA->getStatement();
+
+ // { Domain[] -> Element[] }
+ auto AccRel = getAccessRelationFor(MA);
+
+ if (MA->isMustWrite())
+ AllMustWrites =
+ give(isl_union_map_add_map(AllMustWrites.take(), AccRel.copy()));
+
+ if (MA->isMayWrite())
+ AllMayWrites =
+ give(isl_union_map_add_map(AllMayWrites.take(), AccRel.copy()));
+
+ // { Domain[] -> ValInst[] }
+ auto WriteValInstance =
+ makeValInst(MA->getAccessValue(), Stmt,
+ LI->getLoopFor(MA->getAccessInstruction()->getParent()),
+ MA->isMustWrite());
+
+ // { Domain[] -> [Element[] -> Domain[]] }
+ auto IncludeElement = give(isl_map_curry(isl_map_domain_map(AccRel.copy())));
+
+ // { [Element[] -> DomainWrite[]] -> ValInst[] }
+ auto EltWriteValInst = give(
+ isl_map_apply_domain(WriteValInstance.take(), IncludeElement.take()));
+
+ AllWriteValInst = give(
+ isl_union_map_add_map(AllWriteValInst.take(), EltWriteValInst.take()));
+}
+
+isl::union_set ZoneAlgorithm::makeEmptyUnionSet() const {
+ return give(isl_union_set_empty(ParamSpace.copy()));
+}
+
+isl::union_map ZoneAlgorithm::makeEmptyUnionMap() const {
+ return give(isl_union_map_empty(ParamSpace.copy()));
+}
+
+bool ZoneAlgorithm::isCompatibleScop() {
+ for (auto &Stmt : *S) {
+ if (!isCompatibleStmt(&Stmt))
+ return false;
+ }
+ return true;
+}
+
+isl::map ZoneAlgorithm::getScatterFor(ScopStmt *Stmt) const {
+ auto ResultSpace = give(isl_space_map_from_domain_and_range(
+ Stmt->getDomainSpace(), ScatterSpace.copy()));
+ return give(isl_union_map_extract_map(Schedule.keep(), ResultSpace.take()));
+}
+
+isl::map ZoneAlgorithm::getScatterFor(MemoryAccess *MA) const {
+ return getScatterFor(MA->getStatement());
+}
+
+isl::union_map ZoneAlgorithm::getScatterFor(isl::union_set Domain) const {
+ return give(isl_union_map_intersect_domain(Schedule.copy(), Domain.take()));
+}
+
+isl::map ZoneAlgorithm::getScatterFor(isl::set Domain) const {
+ auto ResultSpace = give(isl_space_map_from_domain_and_range(
+ isl_set_get_space(Domain.keep()), ScatterSpace.copy()));
+ auto UDomain = give(isl_union_set_from_set(Domain.copy()));
+ auto UResult = getScatterFor(std::move(UDomain));
+ auto Result = singleton(std::move(UResult), std::move(ResultSpace));
+ assert(!Result || isl_set_is_equal(give(isl_map_domain(Result.copy())).keep(),
+ Domain.keep()) == isl_bool_true);
+ return Result;
+}
+
+isl::set ZoneAlgorithm::getDomainFor(ScopStmt *Stmt) const {
+ return give(isl_set_remove_redundancies(Stmt->getDomain()));
+}
+
+isl::set ZoneAlgorithm::getDomainFor(MemoryAccess *MA) const {
+ return getDomainFor(MA->getStatement());
+}
+
+isl::map ZoneAlgorithm::getAccessRelationFor(MemoryAccess *MA) const {
+ auto Domain = getDomainFor(MA);
+ auto AccRel = MA->getLatestAccessRelation();
+ return give(isl_map_intersect_domain(AccRel.take(), Domain.take()));
+}
+
+isl::map ZoneAlgorithm::getScalarReachingDefinition(ScopStmt *Stmt) {
+ auto &Result = ScalarReachDefZone[Stmt];
+ if (Result)
+ return Result;
+
+ auto Domain = getDomainFor(Stmt);
+ Result = computeScalarReachingDefinition(Schedule, Domain, false, true);
+ simplify(Result);
+
+ return Result;
+}
+
+isl::map ZoneAlgorithm::getScalarReachingDefinition(isl::set DomainDef) {
+ auto DomId = give(isl_set_get_tuple_id(DomainDef.keep()));
+ auto *Stmt = static_cast<ScopStmt *>(isl_id_get_user(DomId.keep()));
+
+ auto StmtResult = getScalarReachingDefinition(Stmt);
+
+ return give(isl_map_intersect_range(StmtResult.take(), DomainDef.take()));
+}
+
+isl::map ZoneAlgorithm::makeUnknownForDomain(ScopStmt *Stmt) const {
+ return ::makeUnknownForDomain(getDomainFor(Stmt));
+}
+
+isl::id ZoneAlgorithm::makeValueId(Value *V) {
+ if (!V)
+ return nullptr;
+
+ auto &Id = ValueIds[V];
+ if (Id.is_null()) {
+ auto Name = getIslCompatibleName("Val_", V, ValueIds.size() - 1,
+ std::string(), UseInstructionNames);
+ Id = give(isl_id_alloc(IslCtx.get(), Name.c_str(), V));
+ }
+ return Id;
+}
+
+isl::space ZoneAlgorithm::makeValueSpace(Value *V) {
+ auto Result = give(isl_space_set_from_params(ParamSpace.copy()));
+ return give(isl_space_set_tuple_id(Result.take(), isl_dim_set,
+ makeValueId(V).take()));
+}
+
+isl::set ZoneAlgorithm::makeValueSet(Value *V) {
+ auto Space = makeValueSpace(V);
+ return give(isl_set_universe(Space.take()));
+}
+
+isl::map ZoneAlgorithm::makeValInst(Value *Val, ScopStmt *UserStmt, Loop *Scope,
+ bool IsCertain) {
+ // If the definition/write is conditional, the value at the location could
+ // be either the written value or the old value. Since we cannot know which
+ // one, consider the value to be unknown.
+ if (!IsCertain)
+ return makeUnknownForDomain(UserStmt);
+
+ auto DomainUse = getDomainFor(UserStmt);
+ auto VUse = VirtualUse::create(S, UserStmt, Scope, Val, true);
+ switch (VUse.getKind()) {
+ case VirtualUse::Constant:
+ case VirtualUse::Block:
+ case VirtualUse::Hoisted:
+ case VirtualUse::ReadOnly: {
+ // The definition does not depend on the statement which uses it.
+ auto ValSet = makeValueSet(Val);
+ return give(isl_map_from_domain_and_range(DomainUse.take(), ValSet.take()));
+ }
+
+ case VirtualUse::Synthesizable: {
+ auto *ScevExpr = VUse.getScevExpr();
+ auto UseDomainSpace = give(isl_set_get_space(DomainUse.keep()));
+
+ // Construct the SCEV space.
+ // TODO: Add only the induction variables referenced in SCEVAddRecExpr
+ // expressions, not just all of them.
+ auto ScevId = give(isl_id_alloc(UseDomainSpace.get_ctx().get(), nullptr,
+ const_cast<SCEV *>(ScevExpr)));
+ auto ScevSpace =
+ give(isl_space_drop_dims(UseDomainSpace.copy(), isl_dim_set, 0, 0));
+ ScevSpace = give(
+ isl_space_set_tuple_id(ScevSpace.take(), isl_dim_set, ScevId.copy()));
+
+ // { DomainUse[] -> ScevExpr[] }
+ auto ValInst = give(isl_map_identity(isl_space_map_from_domain_and_range(
+ UseDomainSpace.copy(), ScevSpace.copy())));
+ return ValInst;
+ }
+
+ case VirtualUse::Intra: {
+ // Definition and use is in the same statement. We do not need to compute
+ // a reaching definition.
+
+ // { llvm::Value }
+ auto ValSet = makeValueSet(Val);
+
+ // { UserDomain[] -> llvm::Value }
+ auto ValInstSet =
+ give(isl_map_from_domain_and_range(DomainUse.take(), ValSet.take()));
+
+ // { UserDomain[] -> [UserDomain[] - >llvm::Value] }
+ auto Result = give(isl_map_reverse(isl_map_domain_map(ValInstSet.take())));
+ simplify(Result);
+ return Result;
+ }
+
+ case VirtualUse::Inter: {
+ // The value is defined in a different statement.
+
+ auto *Inst = cast<Instruction>(Val);
+ auto *ValStmt = S->getStmtFor(Inst);
+
+ // If the llvm::Value is defined in a removed Stmt, we cannot derive its
+ // domain. We could use an arbitrary statement, but this could result in
+ // different ValInst[] for the same llvm::Value.
+ if (!ValStmt)
+ return ::makeUnknownForDomain(DomainUse);
+
+ // { DomainDef[] }
+ auto DomainDef = getDomainFor(ValStmt);
+
+ // { Scatter[] -> DomainDef[] }
+ auto ReachDef = getScalarReachingDefinition(DomainDef);
+
+ // { DomainUse[] -> Scatter[] }
+ auto UserSched = getScatterFor(DomainUse);
+
+ // { DomainUse[] -> DomainDef[] }
+ auto UsedInstance =
+ give(isl_map_apply_range(UserSched.take(), ReachDef.take()));
+
+ // { llvm::Value }
+ auto ValSet = makeValueSet(Val);
+
+ // { DomainUse[] -> llvm::Value[] }
+ auto ValInstSet =
+ give(isl_map_from_domain_and_range(DomainUse.take(), ValSet.take()));
+
+ // { DomainUse[] -> [DomainDef[] -> llvm::Value] }
+ auto Result =
+ give(isl_map_range_product(UsedInstance.take(), ValInstSet.take()));
+
+ simplify(Result);
+ return Result;
+ }
+ }
+ llvm_unreachable("Unhandled use type");
+}
+
+void ZoneAlgorithm::computeCommon() {
+ AllReads = makeEmptyUnionMap();
+ AllMayWrites = makeEmptyUnionMap();
+ AllMustWrites = makeEmptyUnionMap();
+ AllWriteValInst = makeEmptyUnionMap();
+
+ for (auto &Stmt : *S) {
+ for (auto *MA : Stmt) {
+ if (!MA->isLatestArrayKind())
+ continue;
+
+ if (MA->isRead())
+ addArrayReadAccess(MA);
+
+ if (MA->isWrite())
+ addArrayWriteAccess(MA);
+ }
+ }
+
+ // { DomainWrite[] -> Element[] }
+ auto AllWrites =
+ give(isl_union_map_union(AllMustWrites.copy(), AllMayWrites.copy()));
+
+ // { [Element[] -> Zone[]] -> DomainWrite[] }
+ WriteReachDefZone =
+ computeReachingDefinition(Schedule, AllWrites, false, true);
+ simplify(WriteReachDefZone);
+}
+
+void ZoneAlgorithm::printAccesses(llvm::raw_ostream &OS, int Indent) const {
+ OS.indent(Indent) << "After accesses {\n";
+ for (auto &Stmt : *S) {
+ OS.indent(Indent + 4) << Stmt.getBaseName() << "\n";
+ for (auto *MA : Stmt)
+ MA->print(OS);
+ }
+ OS.indent(Indent) << "}\n";
+}
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