llvm-project/polly/lib/Transform/ScheduleTreeTransform.cpp

1244 lines
46 KiB
C++

//===- polly/ScheduleTreeTransform.cpp --------------------------*- C++ -*-===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
//
// Make changes to isl's schedule tree data structure.
//
//===----------------------------------------------------------------------===//
#include "polly/ScheduleTreeTransform.h"
#include "polly/Support/GICHelper.h"
#include "polly/Support/ISLTools.h"
#include "polly/Support/ScopHelper.h"
#include "llvm/ADT/ArrayRef.h"
#include "llvm/ADT/Sequence.h"
#include "llvm/ADT/SmallVector.h"
#include "llvm/IR/Constants.h"
#include "llvm/IR/Metadata.h"
#include "llvm/Transforms/Utils/UnrollLoop.h"
#define DEBUG_TYPE "polly-opt-isl"
using namespace polly;
using namespace llvm;
namespace {
/// Copy the band member attributes (coincidence, loop type, isolate ast loop
/// type) from one band to another.
static isl::schedule_node_band
applyBandMemberAttributes(isl::schedule_node_band Target, int TargetIdx,
const isl::schedule_node_band &Source,
int SourceIdx) {
bool Coincident = Source.member_get_coincident(SourceIdx).release();
Target = Target.member_set_coincident(TargetIdx, Coincident);
isl_ast_loop_type LoopType =
isl_schedule_node_band_member_get_ast_loop_type(Source.get(), SourceIdx);
Target = isl::manage(isl_schedule_node_band_member_set_ast_loop_type(
Target.release(), TargetIdx, LoopType))
.as<isl::schedule_node_band>();
isl_ast_loop_type IsolateType =
isl_schedule_node_band_member_get_isolate_ast_loop_type(Source.get(),
SourceIdx);
Target = isl::manage(isl_schedule_node_band_member_set_isolate_ast_loop_type(
Target.release(), TargetIdx, IsolateType))
.as<isl::schedule_node_band>();
return Target;
}
/// Create a new band by copying members from another @p Band. @p IncludeCb
/// decides which band indices are copied to the result.
template <typename CbTy>
static isl::schedule rebuildBand(isl::schedule_node_band OldBand,
isl::schedule Body, CbTy IncludeCb) {
int NumBandDims = unsignedFromIslSize(OldBand.n_member());
bool ExcludeAny = false;
bool IncludeAny = false;
for (auto OldIdx : seq<int>(0, NumBandDims)) {
if (IncludeCb(OldIdx))
IncludeAny = true;
else
ExcludeAny = true;
}
// Instead of creating a zero-member band, don't create a band at all.
if (!IncludeAny)
return Body;
isl::multi_union_pw_aff PartialSched = OldBand.get_partial_schedule();
isl::multi_union_pw_aff NewPartialSched;
if (ExcludeAny) {
// Select the included partial scatter functions.
isl::union_pw_aff_list List = PartialSched.list();
int NewIdx = 0;
for (auto OldIdx : seq<int>(0, NumBandDims)) {
if (IncludeCb(OldIdx))
NewIdx += 1;
else
List = List.drop(NewIdx, 1);
}
isl::space ParamSpace = PartialSched.get_space().params();
isl::space NewScatterSpace = ParamSpace.add_unnamed_tuple(NewIdx);
NewPartialSched = isl::multi_union_pw_aff(NewScatterSpace, List);
} else {
// Just reuse original scatter function of copying all of them.
NewPartialSched = PartialSched;
}
// Create the new band node.
isl::schedule_node_band NewBand =
Body.insert_partial_schedule(NewPartialSched)
.get_root()
.child(0)
.as<isl::schedule_node_band>();
// If OldBand was permutable, so is the new one, even if some dimensions are
// missing.
bool IsPermutable = OldBand.permutable().release();
NewBand = NewBand.set_permutable(IsPermutable);
// Reapply member attributes.
int NewIdx = 0;
for (auto OldIdx : seq<int>(0, NumBandDims)) {
if (!IncludeCb(OldIdx))
continue;
NewBand =
applyBandMemberAttributes(std::move(NewBand), NewIdx, OldBand, OldIdx);
NewIdx += 1;
}
return NewBand.get_schedule();
}
/// Rewrite a schedule tree by reconstructing it bottom-up.
///
/// By default, the original schedule tree is reconstructed. To build a
/// different tree, redefine visitor methods in a derived class (CRTP).
///
/// Note that AST build options are not applied; Setting the isolate[] option
/// makes the schedule tree 'anchored' and cannot be modified afterwards. Hence,
/// AST build options must be set after the tree has been constructed.
template <typename Derived, typename... Args>
struct ScheduleTreeRewriter
: RecursiveScheduleTreeVisitor<Derived, isl::schedule, Args...> {
Derived &getDerived() { return *static_cast<Derived *>(this); }
const Derived &getDerived() const {
return *static_cast<const Derived *>(this);
}
isl::schedule visitDomain(isl::schedule_node_domain Node, Args... args) {
// Every schedule_tree already has a domain node, no need to add one.
return getDerived().visit(Node.first_child(), std::forward<Args>(args)...);
}
isl::schedule visitBand(isl::schedule_node_band Band, Args... args) {
isl::schedule NewChild =
getDerived().visit(Band.child(0), std::forward<Args>(args)...);
return rebuildBand(Band, NewChild, [](int) { return true; });
}
isl::schedule visitSequence(isl::schedule_node_sequence Sequence,
Args... args) {
int NumChildren = isl_schedule_node_n_children(Sequence.get());
isl::schedule Result =
getDerived().visit(Sequence.child(0), std::forward<Args>(args)...);
for (int i = 1; i < NumChildren; i += 1)
Result = Result.sequence(
getDerived().visit(Sequence.child(i), std::forward<Args>(args)...));
return Result;
}
isl::schedule visitSet(isl::schedule_node_set Set, Args... args) {
int NumChildren = isl_schedule_node_n_children(Set.get());
isl::schedule Result =
getDerived().visit(Set.child(0), std::forward<Args>(args)...);
for (int i = 1; i < NumChildren; i += 1)
Result = isl::manage(
isl_schedule_set(Result.release(),
getDerived()
.visit(Set.child(i), std::forward<Args>(args)...)
.release()));
return Result;
}
isl::schedule visitLeaf(isl::schedule_node_leaf Leaf, Args... args) {
return isl::schedule::from_domain(Leaf.get_domain());
}
isl::schedule visitMark(const isl::schedule_node &Mark, Args... args) {
isl::id TheMark = Mark.as<isl::schedule_node_mark>().get_id();
isl::schedule_node NewChild =
getDerived()
.visit(Mark.first_child(), std::forward<Args>(args)...)
.get_root()
.first_child();
return NewChild.insert_mark(TheMark).get_schedule();
}
isl::schedule visitExtension(isl::schedule_node_extension Extension,
Args... args) {
isl::union_map TheExtension =
Extension.as<isl::schedule_node_extension>().get_extension();
isl::schedule_node NewChild = getDerived()
.visit(Extension.child(0), args...)
.get_root()
.first_child();
isl::schedule_node NewExtension =
isl::schedule_node::from_extension(TheExtension);
return NewChild.graft_before(NewExtension).get_schedule();
}
isl::schedule visitFilter(isl::schedule_node_filter Filter, Args... args) {
isl::union_set FilterDomain =
Filter.as<isl::schedule_node_filter>().get_filter();
isl::schedule NewSchedule =
getDerived().visit(Filter.child(0), std::forward<Args>(args)...);
return NewSchedule.intersect_domain(FilterDomain);
}
isl::schedule visitNode(isl::schedule_node Node, Args... args) {
llvm_unreachable("Not implemented");
}
};
/// Rewrite the schedule tree without any changes. Useful to copy a subtree into
/// a new schedule, discarding everything but.
struct IdentityRewriter : ScheduleTreeRewriter<IdentityRewriter> {};
/// Rewrite a schedule tree to an equivalent one without extension nodes.
///
/// Each visit method takes two additional arguments:
///
/// * The new domain the node, which is the inherited domain plus any domains
/// added by extension nodes.
///
/// * A map of extension domains of all children is returned; it is required by
/// band nodes to schedule the additional domains at the same position as the
/// extension node would.
///
struct ExtensionNodeRewriter final
: ScheduleTreeRewriter<ExtensionNodeRewriter, const isl::union_set &,
isl::union_map &> {
using BaseTy = ScheduleTreeRewriter<ExtensionNodeRewriter,
const isl::union_set &, isl::union_map &>;
BaseTy &getBase() { return *this; }
const BaseTy &getBase() const { return *this; }
isl::schedule visitSchedule(isl::schedule Schedule) {
isl::union_map Extensions;
isl::schedule Result =
visit(Schedule.get_root(), Schedule.get_domain(), Extensions);
assert(!Extensions.is_null() && Extensions.is_empty());
return Result;
}
isl::schedule visitSequence(isl::schedule_node_sequence Sequence,
const isl::union_set &Domain,
isl::union_map &Extensions) {
int NumChildren = isl_schedule_node_n_children(Sequence.get());
isl::schedule NewNode = visit(Sequence.first_child(), Domain, Extensions);
for (int i = 1; i < NumChildren; i += 1) {
isl::schedule_node OldChild = Sequence.child(i);
isl::union_map NewChildExtensions;
isl::schedule NewChildNode = visit(OldChild, Domain, NewChildExtensions);
NewNode = NewNode.sequence(NewChildNode);
Extensions = Extensions.unite(NewChildExtensions);
}
return NewNode;
}
isl::schedule visitSet(isl::schedule_node_set Set,
const isl::union_set &Domain,
isl::union_map &Extensions) {
int NumChildren = isl_schedule_node_n_children(Set.get());
isl::schedule NewNode = visit(Set.first_child(), Domain, Extensions);
for (int i = 1; i < NumChildren; i += 1) {
isl::schedule_node OldChild = Set.child(i);
isl::union_map NewChildExtensions;
isl::schedule NewChildNode = visit(OldChild, Domain, NewChildExtensions);
NewNode = isl::manage(
isl_schedule_set(NewNode.release(), NewChildNode.release()));
Extensions = Extensions.unite(NewChildExtensions);
}
return NewNode;
}
isl::schedule visitLeaf(isl::schedule_node_leaf Leaf,
const isl::union_set &Domain,
isl::union_map &Extensions) {
Extensions = isl::union_map::empty(Leaf.ctx());
return isl::schedule::from_domain(Domain);
}
isl::schedule visitBand(isl::schedule_node_band OldNode,
const isl::union_set &Domain,
isl::union_map &OuterExtensions) {
isl::schedule_node OldChild = OldNode.first_child();
isl::multi_union_pw_aff PartialSched =
isl::manage(isl_schedule_node_band_get_partial_schedule(OldNode.get()));
isl::union_map NewChildExtensions;
isl::schedule NewChild = visit(OldChild, Domain, NewChildExtensions);
// Add the extensions to the partial schedule.
OuterExtensions = isl::union_map::empty(NewChildExtensions.ctx());
isl::union_map NewPartialSchedMap = isl::union_map::from(PartialSched);
unsigned BandDims = isl_schedule_node_band_n_member(OldNode.get());
for (isl::map Ext : NewChildExtensions.get_map_list()) {
unsigned ExtDims = unsignedFromIslSize(Ext.domain_tuple_dim());
assert(ExtDims >= BandDims);
unsigned OuterDims = ExtDims - BandDims;
isl::map BandSched =
Ext.project_out(isl::dim::in, 0, OuterDims).reverse();
NewPartialSchedMap = NewPartialSchedMap.unite(BandSched);
// There might be more outer bands that have to schedule the extensions.
if (OuterDims > 0) {
isl::map OuterSched =
Ext.project_out(isl::dim::in, OuterDims, BandDims);
OuterExtensions = OuterExtensions.unite(OuterSched);
}
}
isl::multi_union_pw_aff NewPartialSchedAsAsMultiUnionPwAff =
isl::multi_union_pw_aff::from_union_map(NewPartialSchedMap);
isl::schedule_node NewNode =
NewChild.insert_partial_schedule(NewPartialSchedAsAsMultiUnionPwAff)
.get_root()
.child(0);
// Reapply permutability and coincidence attributes.
NewNode = isl::manage(isl_schedule_node_band_set_permutable(
NewNode.release(),
isl_schedule_node_band_get_permutable(OldNode.get())));
for (unsigned i = 0; i < BandDims; i += 1)
NewNode = applyBandMemberAttributes(NewNode.as<isl::schedule_node_band>(),
i, OldNode, i);
return NewNode.get_schedule();
}
isl::schedule visitFilter(isl::schedule_node_filter Filter,
const isl::union_set &Domain,
isl::union_map &Extensions) {
isl::union_set FilterDomain =
Filter.as<isl::schedule_node_filter>().get_filter();
isl::union_set NewDomain = Domain.intersect(FilterDomain);
// A filter is added implicitly if necessary when joining schedule trees.
return visit(Filter.first_child(), NewDomain, Extensions);
}
isl::schedule visitExtension(isl::schedule_node_extension Extension,
const isl::union_set &Domain,
isl::union_map &Extensions) {
isl::union_map ExtDomain =
Extension.as<isl::schedule_node_extension>().get_extension();
isl::union_set NewDomain = Domain.unite(ExtDomain.range());
isl::union_map ChildExtensions;
isl::schedule NewChild =
visit(Extension.first_child(), NewDomain, ChildExtensions);
Extensions = ChildExtensions.unite(ExtDomain);
return NewChild;
}
};
/// Collect all AST build options in any schedule tree band.
///
/// ScheduleTreeRewriter cannot apply the schedule tree options. This class
/// collects these options to apply them later.
struct CollectASTBuildOptions final
: RecursiveScheduleTreeVisitor<CollectASTBuildOptions> {
using BaseTy = RecursiveScheduleTreeVisitor<CollectASTBuildOptions>;
BaseTy &getBase() { return *this; }
const BaseTy &getBase() const { return *this; }
llvm::SmallVector<isl::union_set, 8> ASTBuildOptions;
void visitBand(isl::schedule_node_band Band) {
ASTBuildOptions.push_back(
isl::manage(isl_schedule_node_band_get_ast_build_options(Band.get())));
return getBase().visitBand(Band);
}
};
/// Apply AST build options to the bands in a schedule tree.
///
/// This rewrites a schedule tree with the AST build options applied. We assume
/// that the band nodes are visited in the same order as they were when the
/// build options were collected, typically by CollectASTBuildOptions.
struct ApplyASTBuildOptions final : ScheduleNodeRewriter<ApplyASTBuildOptions> {
using BaseTy = ScheduleNodeRewriter<ApplyASTBuildOptions>;
BaseTy &getBase() { return *this; }
const BaseTy &getBase() const { return *this; }
size_t Pos;
llvm::ArrayRef<isl::union_set> ASTBuildOptions;
ApplyASTBuildOptions(llvm::ArrayRef<isl::union_set> ASTBuildOptions)
: ASTBuildOptions(ASTBuildOptions) {}
isl::schedule visitSchedule(isl::schedule Schedule) {
Pos = 0;
isl::schedule Result = visit(Schedule).get_schedule();
assert(Pos == ASTBuildOptions.size() &&
"AST build options must match to band nodes");
return Result;
}
isl::schedule_node visitBand(isl::schedule_node_band Band) {
isl::schedule_node_band Result =
Band.set_ast_build_options(ASTBuildOptions[Pos]);
Pos += 1;
return getBase().visitBand(Result);
}
};
/// Return whether the schedule contains an extension node.
static bool containsExtensionNode(isl::schedule Schedule) {
assert(!Schedule.is_null());
auto Callback = [](__isl_keep isl_schedule_node *Node,
void *User) -> isl_bool {
if (isl_schedule_node_get_type(Node) == isl_schedule_node_extension) {
// Stop walking the schedule tree.
return isl_bool_error;
}
// Continue searching the subtree.
return isl_bool_true;
};
isl_stat RetVal = isl_schedule_foreach_schedule_node_top_down(
Schedule.get(), Callback, nullptr);
// We assume that the traversal itself does not fail, i.e. the only reason to
// return isl_stat_error is that an extension node was found.
return RetVal == isl_stat_error;
}
/// Find a named MDNode property in a LoopID.
static MDNode *findOptionalNodeOperand(MDNode *LoopMD, StringRef Name) {
return dyn_cast_or_null<MDNode>(
findMetadataOperand(LoopMD, Name).value_or(nullptr));
}
/// Is this node of type mark?
static bool isMark(const isl::schedule_node &Node) {
return isl_schedule_node_get_type(Node.get()) == isl_schedule_node_mark;
}
/// Is this node of type band?
static bool isBand(const isl::schedule_node &Node) {
return isl_schedule_node_get_type(Node.get()) == isl_schedule_node_band;
}
#ifndef NDEBUG
/// Is this node a band of a single dimension (i.e. could represent a loop)?
static bool isBandWithSingleLoop(const isl::schedule_node &Node) {
return isBand(Node) && isl_schedule_node_band_n_member(Node.get()) == 1;
}
#endif
static bool isLeaf(const isl::schedule_node &Node) {
return isl_schedule_node_get_type(Node.get()) == isl_schedule_node_leaf;
}
/// Create an isl::id representing the output loop after a transformation.
static isl::id createGeneratedLoopAttr(isl::ctx Ctx, MDNode *FollowupLoopMD) {
// Don't need to id the followup.
// TODO: Append llvm.loop.disable_heustistics metadata unless overridden by
// user followup-MD
if (!FollowupLoopMD)
return {};
BandAttr *Attr = new BandAttr();
Attr->Metadata = FollowupLoopMD;
return getIslLoopAttr(Ctx, Attr);
}
/// A loop consists of a band and an optional marker that wraps it. Return the
/// outermost of the two.
/// That is, either the mark or, if there is not mark, the loop itself. Can
/// start with either the mark or the band.
static isl::schedule_node moveToBandMark(isl::schedule_node BandOrMark) {
if (isBandMark(BandOrMark)) {
assert(isBandWithSingleLoop(BandOrMark.child(0)));
return BandOrMark;
}
assert(isBandWithSingleLoop(BandOrMark));
isl::schedule_node Mark = BandOrMark.parent();
if (isBandMark(Mark))
return Mark;
// Band has no loop marker.
return BandOrMark;
}
static isl::schedule_node removeMark(isl::schedule_node MarkOrBand,
BandAttr *&Attr) {
MarkOrBand = moveToBandMark(MarkOrBand);
isl::schedule_node Band;
if (isMark(MarkOrBand)) {
Attr = getLoopAttr(MarkOrBand.as<isl::schedule_node_mark>().get_id());
Band = isl::manage(isl_schedule_node_delete(MarkOrBand.release()));
} else {
Attr = nullptr;
Band = MarkOrBand;
}
assert(isBandWithSingleLoop(Band));
return Band;
}
/// Remove the mark that wraps a loop. Return the band representing the loop.
static isl::schedule_node removeMark(isl::schedule_node MarkOrBand) {
BandAttr *Attr;
return removeMark(MarkOrBand, Attr);
}
static isl::schedule_node insertMark(isl::schedule_node Band, isl::id Mark) {
assert(isBand(Band));
assert(moveToBandMark(Band).is_equal(Band) &&
"Don't add a two marks for a band");
return Band.insert_mark(Mark).child(0);
}
/// Return the (one-dimensional) set of numbers that are divisible by @p Factor
/// with remainder @p Offset.
///
/// isDivisibleBySet(Ctx, 4, 0) = { [i] : floord(i,4) = 0 }
/// isDivisibleBySet(Ctx, 4, 1) = { [i] : floord(i,4) = 1 }
///
static isl::basic_set isDivisibleBySet(isl::ctx &Ctx, long Factor,
long Offset) {
isl::val ValFactor{Ctx, Factor};
isl::val ValOffset{Ctx, Offset};
isl::space Unispace{Ctx, 0, 1};
isl::local_space LUnispace{Unispace};
isl::aff AffFactor{LUnispace, ValFactor};
isl::aff AffOffset{LUnispace, ValOffset};
isl::aff Id = isl::aff::var_on_domain(LUnispace, isl::dim::out, 0);
isl::aff DivMul = Id.mod(ValFactor);
isl::basic_map Divisible = isl::basic_map::from_aff(DivMul);
isl::basic_map Modulo = Divisible.fix_val(isl::dim::out, 0, ValOffset);
return Modulo.domain();
}
/// Make the last dimension of Set to take values from 0 to VectorWidth - 1.
///
/// @param Set A set, which should be modified.
/// @param VectorWidth A parameter, which determines the constraint.
static isl::set addExtentConstraints(isl::set Set, int VectorWidth) {
unsigned Dims = unsignedFromIslSize(Set.tuple_dim());
assert(Dims >= 1);
isl::space Space = Set.get_space();
isl::local_space LocalSpace = isl::local_space(Space);
isl::constraint ExtConstr = isl::constraint::alloc_inequality(LocalSpace);
ExtConstr = ExtConstr.set_constant_si(0);
ExtConstr = ExtConstr.set_coefficient_si(isl::dim::set, Dims - 1, 1);
Set = Set.add_constraint(ExtConstr);
ExtConstr = isl::constraint::alloc_inequality(LocalSpace);
ExtConstr = ExtConstr.set_constant_si(VectorWidth - 1);
ExtConstr = ExtConstr.set_coefficient_si(isl::dim::set, Dims - 1, -1);
return Set.add_constraint(ExtConstr);
}
/// Collapse perfectly nested bands into a single band.
class BandCollapseRewriter final
: public ScheduleTreeRewriter<BandCollapseRewriter> {
private:
using BaseTy = ScheduleTreeRewriter<BandCollapseRewriter>;
BaseTy &getBase() { return *this; }
const BaseTy &getBase() const { return *this; }
public:
isl::schedule visitBand(isl::schedule_node_band RootBand) {
isl::schedule_node_band Band = RootBand;
isl::ctx Ctx = Band.ctx();
// Do not merge permutable band to avoid loosing the permutability property.
// Cannot collapse even two permutable loops, they might be permutable
// individually, but not necassarily across.
if (unsignedFromIslSize(Band.n_member()) > 1u && Band.permutable())
return getBase().visitBand(Band);
// Find collapsable bands.
SmallVector<isl::schedule_node_band> Nest;
int NumTotalLoops = 0;
isl::schedule_node Body;
while (true) {
Nest.push_back(Band);
NumTotalLoops += unsignedFromIslSize(Band.n_member());
Body = Band.first_child();
if (!Body.isa<isl::schedule_node_band>())
break;
Band = Body.as<isl::schedule_node_band>();
// Do not include next band if it is permutable to not lose its
// permutability property.
if (unsignedFromIslSize(Band.n_member()) > 1u && Band.permutable())
break;
}
// Nothing to collapse, preserve permutability.
if (Nest.size() <= 1)
return getBase().visitBand(Band);
LLVM_DEBUG({
dbgs() << "Found loops to collapse between\n";
dumpIslObj(RootBand, dbgs());
dbgs() << "and\n";
dumpIslObj(Body, dbgs());
dbgs() << "\n";
});
isl::schedule NewBody = visit(Body);
// Collect partial schedules from all members.
isl::union_pw_aff_list PartScheds{Ctx, NumTotalLoops};
for (isl::schedule_node_band Band : Nest) {
int NumLoops = unsignedFromIslSize(Band.n_member());
isl::multi_union_pw_aff BandScheds = Band.get_partial_schedule();
for (auto j : seq<int>(0, NumLoops))
PartScheds = PartScheds.add(BandScheds.at(j));
}
isl::space ScatterSpace = isl::space(Ctx, 0, NumTotalLoops);
isl::multi_union_pw_aff PartSchedsMulti{ScatterSpace, PartScheds};
isl::schedule_node_band CollapsedBand =
NewBody.insert_partial_schedule(PartSchedsMulti)
.get_root()
.first_child()
.as<isl::schedule_node_band>();
// Copy over loop attributes form original bands.
int LoopIdx = 0;
for (isl::schedule_node_band Band : Nest) {
int NumLoops = unsignedFromIslSize(Band.n_member());
for (int i : seq<int>(0, NumLoops)) {
CollapsedBand = applyBandMemberAttributes(std::move(CollapsedBand),
LoopIdx, Band, i);
LoopIdx += 1;
}
}
assert(LoopIdx == NumTotalLoops &&
"Expect the same number of loops to add up again");
return CollapsedBand.get_schedule();
}
};
static isl::schedule collapseBands(isl::schedule Sched) {
LLVM_DEBUG(dbgs() << "Collapse bands in schedule\n");
BandCollapseRewriter Rewriter;
return Rewriter.visit(Sched);
}
/// Collect sequentially executed bands (or anything else), even if nested in a
/// mark or other nodes whose child is executed just once. If we can
/// successfully fuse the bands, we allow them to be removed.
static void collectPotentiallyFusableBands(
isl::schedule_node Node,
SmallVectorImpl<std::pair<isl::schedule_node, isl::schedule_node>>
&ScheduleBands,
const isl::schedule_node &DirectChild) {
switch (isl_schedule_node_get_type(Node.get())) {
case isl_schedule_node_sequence:
case isl_schedule_node_set:
case isl_schedule_node_mark:
case isl_schedule_node_domain:
case isl_schedule_node_filter:
if (Node.has_children()) {
isl::schedule_node C = Node.first_child();
while (true) {
collectPotentiallyFusableBands(C, ScheduleBands, DirectChild);
if (!C.has_next_sibling())
break;
C = C.next_sibling();
}
}
break;
default:
// Something that does not execute suquentially (e.g. a band)
ScheduleBands.push_back({Node, DirectChild});
break;
}
}
/// Remove dependencies that are resolved by @p PartSched. That is, remove
/// everything that we already know is executed in-order.
static isl::union_map remainingDepsFromPartialSchedule(isl::union_map PartSched,
isl::union_map Deps) {
unsigned NumDims = getNumScatterDims(PartSched);
auto ParamSpace = PartSched.get_space().params();
// { Scatter[] }
isl::space ScatterSpace =
ParamSpace.set_from_params().add_dims(isl::dim::set, NumDims);
// { Scatter[] -> Domain[] }
isl::union_map PartSchedRev = PartSched.reverse();
// { Scatter[] -> Scatter[] }
isl::map MaybeBefore = isl::map::lex_le(ScatterSpace);
// { Domain[] -> Domain[] }
isl::union_map DomMaybeBefore =
MaybeBefore.apply_domain(PartSchedRev).apply_range(PartSchedRev);
// { Domain[] -> Domain[] }
isl::union_map ChildRemainingDeps = Deps.intersect(DomMaybeBefore);
return ChildRemainingDeps;
}
/// Remove dependencies that are resolved by executing them in the order
/// specified by @p Domains;
static isl::union_map remainigDepsFromSequence(ArrayRef<isl::union_set> Domains,
isl::union_map Deps) {
isl::ctx Ctx = Deps.ctx();
isl::space ParamSpace = Deps.get_space().params();
// Create a partial schedule mapping to constants that reflect the execution
// order.
isl::union_map PartialSchedules = isl::union_map::empty(Ctx);
for (auto P : enumerate(Domains)) {
isl::val ExecTime = isl::val(Ctx, P.index());
isl::union_pw_aff DomSched{P.value(), ExecTime};
PartialSchedules = PartialSchedules.unite(DomSched.as_union_map());
}
return remainingDepsFromPartialSchedule(PartialSchedules, Deps);
}
/// Determine whether the outermost loop of to bands can be fused while
/// respecting validity dependencies.
static bool canFuseOutermost(const isl::schedule_node_band &LHS,
const isl::schedule_node_band &RHS,
const isl::union_map &Deps) {
// { LHSDomain[] -> Scatter[] }
isl::union_map LHSPartSched =
LHS.get_partial_schedule().get_at(0).as_union_map();
// { Domain[] -> Scatter[] }
isl::union_map RHSPartSched =
RHS.get_partial_schedule().get_at(0).as_union_map();
// Dependencies that are already resolved because LHS executes before RHS, but
// will not be anymore after fusion. { DefDomain[] -> UseDomain[] }
isl::union_map OrderedBySequence =
Deps.intersect_domain(LHSPartSched.domain())
.intersect_range(RHSPartSched.domain());
isl::space ParamSpace = OrderedBySequence.get_space().params();
isl::space NewScatterSpace = ParamSpace.add_unnamed_tuple(1);
// { Scatter[] -> Scatter[] }
isl::map After = isl::map::lex_gt(NewScatterSpace);
// After fusion, instances with smaller (or equal, which means they will be
// executed in the same iteration, but the LHS instance is still sequenced
// before RHS) scatter value will still be executed before. This are the
// orderings where this is not necessarily the case.
// { LHSDomain[] -> RHSDomain[] }
isl::union_map MightBeAfterDoms = After.apply_domain(LHSPartSched.reverse())
.apply_range(RHSPartSched.reverse());
// Dependencies that are not resolved by the new execution order.
isl::union_map WithBefore = OrderedBySequence.intersect(MightBeAfterDoms);
return WithBefore.is_empty();
}
/// Fuse @p LHS and @p RHS if possible while preserving validity dependenvies.
static isl::schedule tryGreedyFuse(isl::schedule_node_band LHS,
isl::schedule_node_band RHS,
const isl::union_map &Deps) {
if (!canFuseOutermost(LHS, RHS, Deps))
return {};
LLVM_DEBUG({
dbgs() << "Found loops for greedy fusion:\n";
dumpIslObj(LHS, dbgs());
dbgs() << "and\n";
dumpIslObj(RHS, dbgs());
dbgs() << "\n";
});
// The partial schedule of the bands outermost loop that we need to combine
// for the fusion.
isl::union_pw_aff LHSPartOuterSched = LHS.get_partial_schedule().get_at(0);
isl::union_pw_aff RHSPartOuterSched = RHS.get_partial_schedule().get_at(0);
// Isolate band bodies as roots of their own schedule trees.
IdentityRewriter Rewriter;
isl::schedule LHSBody = Rewriter.visit(LHS.first_child());
isl::schedule RHSBody = Rewriter.visit(RHS.first_child());
// Reconstruct the non-outermost (not going to be fused) loops from both
// bands.
// TODO: Maybe it is possibly to transfer the 'permutability' property from
// LHS+RHS. At minimum we need merge multiple band members at once, otherwise
// permutability has no meaning.
isl::schedule LHSNewBody =
rebuildBand(LHS, LHSBody, [](int i) { return i > 0; });
isl::schedule RHSNewBody =
rebuildBand(RHS, RHSBody, [](int i) { return i > 0; });
// The loop body of the fused loop.
isl::schedule NewCommonBody = LHSNewBody.sequence(RHSNewBody);
// Combine the partial schedules of both loops to a new one. Instances with
// the same scatter value are put together.
isl::union_map NewCommonPartialSched =
LHSPartOuterSched.as_union_map().unite(RHSPartOuterSched.as_union_map());
isl::schedule NewCommonSchedule = NewCommonBody.insert_partial_schedule(
NewCommonPartialSched.as_multi_union_pw_aff());
return NewCommonSchedule;
}
static isl::schedule tryGreedyFuse(isl::schedule_node LHS,
isl::schedule_node RHS,
const isl::union_map &Deps) {
// TODO: Non-bands could be interpreted as a band with just as single
// iteration. However, this is only useful if both ends of a fused loop were
// originally loops themselves.
if (!LHS.isa<isl::schedule_node_band>())
return {};
if (!RHS.isa<isl::schedule_node_band>())
return {};
return tryGreedyFuse(LHS.as<isl::schedule_node_band>(),
RHS.as<isl::schedule_node_band>(), Deps);
}
/// Fuse all fusable loop top-down in a schedule tree.
///
/// The isl::union_map parameters is the set of validity dependencies that have
/// not been resolved/carried by a parent schedule node.
class GreedyFusionRewriter final
: public ScheduleTreeRewriter<GreedyFusionRewriter, isl::union_map> {
private:
using BaseTy = ScheduleTreeRewriter<GreedyFusionRewriter, isl::union_map>;
BaseTy &getBase() { return *this; }
const BaseTy &getBase() const { return *this; }
public:
/// Is set to true if anything has been fused.
bool AnyChange = false;
isl::schedule visitBand(isl::schedule_node_band Band, isl::union_map Deps) {
// { Domain[] -> Scatter[] }
isl::union_map PartSched =
isl::union_map::from(Band.get_partial_schedule());
assert(getNumScatterDims(PartSched) ==
unsignedFromIslSize(Band.n_member()));
isl::space ParamSpace = PartSched.get_space().params();
// { Scatter[] -> Domain[] }
isl::union_map PartSchedRev = PartSched.reverse();
// Possible within the same iteration. Dependencies with smaller scatter
// value are carried by this loop and therefore have been resolved by the
// in-order execution if the loop iteration. A dependency with small scatter
// value would be a dependency violation that we assume did not happen. {
// Domain[] -> Domain[] }
isl::union_map Unsequenced = PartSchedRev.apply_domain(PartSchedRev);
// Actual dependencies within the same iteration.
// { DefDomain[] -> UseDomain[] }
isl::union_map RemDeps = Deps.intersect(Unsequenced);
return getBase().visitBand(Band, RemDeps);
}
isl::schedule visitSequence(isl::schedule_node_sequence Sequence,
isl::union_map Deps) {
int NumChildren = isl_schedule_node_n_children(Sequence.get());
// List of fusion candidates. The first element is the fusion candidate, the
// second is candidate's ancestor that is the sequence's direct child. It is
// preferable to use the direct child if not if its non-direct children is
// fused to preserve its structure such as mark nodes.
SmallVector<std::pair<isl::schedule_node, isl::schedule_node>> Bands;
for (auto i : seq<int>(0, NumChildren)) {
isl::schedule_node Child = Sequence.child(i);
collectPotentiallyFusableBands(Child, Bands, Child);
}
// Direct children that had at least one of its decendants fused.
SmallDenseSet<isl_schedule_node *, 4> ChangedDirectChildren;
// Fuse neigboring bands until reaching the end of candidates.
int i = 0;
while (i + 1 < (int)Bands.size()) {
isl::schedule Fused =
tryGreedyFuse(Bands[i].first, Bands[i + 1].first, Deps);
if (Fused.is_null()) {
// Cannot merge this node with the next; look at next pair.
i += 1;
continue;
}
// Mark the direct children as (partially) fused.
if (!Bands[i].second.is_null())
ChangedDirectChildren.insert(Bands[i].second.get());
if (!Bands[i + 1].second.is_null())
ChangedDirectChildren.insert(Bands[i + 1].second.get());
// Collapse the neigbros to a single new candidate that could be fused
// with the next candidate.
Bands[i] = {Fused.get_root(), {}};
Bands.erase(Bands.begin() + i + 1);
AnyChange = true;
}
// By construction equal if done with collectPotentiallyFusableBands's
// output.
SmallVector<isl::union_set> SubDomains;
SubDomains.reserve(NumChildren);
for (int i = 0; i < NumChildren; i += 1)
SubDomains.push_back(Sequence.child(i).domain());
auto SubRemainingDeps = remainigDepsFromSequence(SubDomains, Deps);
// We may iterate over direct children multiple times, be sure to add each
// at most once.
SmallDenseSet<isl_schedule_node *, 4> AlreadyAdded;
isl::schedule Result;
for (auto &P : Bands) {
isl::schedule_node MaybeFused = P.first;
isl::schedule_node DirectChild = P.second;
// If not modified, use the direct child.
if (!DirectChild.is_null() &&
!ChangedDirectChildren.count(DirectChild.get())) {
if (AlreadyAdded.count(DirectChild.get()))
continue;
AlreadyAdded.insert(DirectChild.get());
MaybeFused = DirectChild;
} else {
assert(AnyChange &&
"Need changed flag for be consistent with actual change");
}
// Top-down recursion: If the outermost loop has been fused, their nested
// bands might be fusable now as well.
isl::schedule InnerFused = visit(MaybeFused, SubRemainingDeps);
// Reconstruct the sequence, with some of the children fused.
if (Result.is_null())
Result = InnerFused;
else
Result = Result.sequence(InnerFused);
}
return Result;
}
};
} // namespace
bool polly::isBandMark(const isl::schedule_node &Node) {
return isMark(Node) &&
isLoopAttr(Node.as<isl::schedule_node_mark>().get_id());
}
BandAttr *polly::getBandAttr(isl::schedule_node MarkOrBand) {
MarkOrBand = moveToBandMark(MarkOrBand);
if (!isMark(MarkOrBand))
return nullptr;
return getLoopAttr(MarkOrBand.as<isl::schedule_node_mark>().get_id());
}
isl::schedule polly::hoistExtensionNodes(isl::schedule Sched) {
// If there is no extension node in the first place, return the original
// schedule tree.
if (!containsExtensionNode(Sched))
return Sched;
// Build options can anchor schedule nodes, such that the schedule tree cannot
// be modified anymore. Therefore, apply build options after the tree has been
// created.
CollectASTBuildOptions Collector;
Collector.visit(Sched);
// Rewrite the schedule tree without extension nodes.
ExtensionNodeRewriter Rewriter;
isl::schedule NewSched = Rewriter.visitSchedule(Sched);
// Reapply the AST build options. The rewriter must not change the iteration
// order of bands. Any other node type is ignored.
ApplyASTBuildOptions Applicator(Collector.ASTBuildOptions);
NewSched = Applicator.visitSchedule(NewSched);
return NewSched;
}
isl::schedule polly::applyFullUnroll(isl::schedule_node BandToUnroll) {
isl::ctx Ctx = BandToUnroll.ctx();
// Remove the loop's mark, the loop will disappear anyway.
BandToUnroll = removeMark(BandToUnroll);
assert(isBandWithSingleLoop(BandToUnroll));
isl::multi_union_pw_aff PartialSched = isl::manage(
isl_schedule_node_band_get_partial_schedule(BandToUnroll.get()));
assert(unsignedFromIslSize(PartialSched.dim(isl::dim::out)) == 1u &&
"Can only unroll a single dimension");
isl::union_pw_aff PartialSchedUAff = PartialSched.at(0);
isl::union_set Domain = BandToUnroll.get_domain();
PartialSchedUAff = PartialSchedUAff.intersect_domain(Domain);
isl::union_map PartialSchedUMap =
isl::union_map::from(isl::union_pw_multi_aff(PartialSchedUAff));
// Enumerator only the scatter elements.
isl::union_set ScatterList = PartialSchedUMap.range();
// Enumerate all loop iterations.
// TODO: Diagnose if not enumerable or depends on a parameter.
SmallVector<isl::point, 16> Elts;
ScatterList.foreach_point([&Elts](isl::point P) -> isl::stat {
Elts.push_back(P);
return isl::stat::ok();
});
// Don't assume that foreach_point returns in execution order.
llvm::sort(Elts, [](isl::point P1, isl::point P2) -> bool {
isl::val C1 = P1.get_coordinate_val(isl::dim::set, 0);
isl::val C2 = P2.get_coordinate_val(isl::dim::set, 0);
return C1.lt(C2);
});
// Convert the points to a sequence of filters.
isl::union_set_list List = isl::union_set_list(Ctx, Elts.size());
for (isl::point P : Elts) {
// Determine the domains that map this scatter element.
isl::union_set DomainFilter = PartialSchedUMap.intersect_range(P).domain();
List = List.add(DomainFilter);
}
// Replace original band with unrolled sequence.
isl::schedule_node Body =
isl::manage(isl_schedule_node_delete(BandToUnroll.release()));
Body = Body.insert_sequence(List);
return Body.get_schedule();
}
isl::schedule polly::applyPartialUnroll(isl::schedule_node BandToUnroll,
int Factor) {
assert(Factor > 0 && "Positive unroll factor required");
isl::ctx Ctx = BandToUnroll.ctx();
// Remove the mark, save the attribute for later use.
BandAttr *Attr;
BandToUnroll = removeMark(BandToUnroll, Attr);
assert(isBandWithSingleLoop(BandToUnroll));
isl::multi_union_pw_aff PartialSched = isl::manage(
isl_schedule_node_band_get_partial_schedule(BandToUnroll.get()));
// { Stmt[] -> [x] }
isl::union_pw_aff PartialSchedUAff = PartialSched.at(0);
// Here we assume the schedule stride is one and starts with 0, which is not
// necessarily the case.
isl::union_pw_aff StridedPartialSchedUAff =
isl::union_pw_aff::empty(PartialSchedUAff.get_space());
isl::val ValFactor{Ctx, Factor};
PartialSchedUAff.foreach_pw_aff([&StridedPartialSchedUAff,
&ValFactor](isl::pw_aff PwAff) -> isl::stat {
isl::space Space = PwAff.get_space();
isl::set Universe = isl::set::universe(Space.domain());
isl::pw_aff AffFactor{Universe, ValFactor};
isl::pw_aff DivSchedAff = PwAff.div(AffFactor).floor().mul(AffFactor);
StridedPartialSchedUAff = StridedPartialSchedUAff.union_add(DivSchedAff);
return isl::stat::ok();
});
isl::union_set_list List = isl::union_set_list(Ctx, Factor);
for (auto i : seq<int>(0, Factor)) {
// { Stmt[] -> [x] }
isl::union_map UMap =
isl::union_map::from(isl::union_pw_multi_aff(PartialSchedUAff));
// { [x] }
isl::basic_set Divisible = isDivisibleBySet(Ctx, Factor, i);
// { Stmt[] }
isl::union_set UnrolledDomain = UMap.intersect_range(Divisible).domain();
List = List.add(UnrolledDomain);
}
isl::schedule_node Body =
isl::manage(isl_schedule_node_delete(BandToUnroll.copy()));
Body = Body.insert_sequence(List);
isl::schedule_node NewLoop =
Body.insert_partial_schedule(StridedPartialSchedUAff);
MDNode *FollowupMD = nullptr;
if (Attr && Attr->Metadata)
FollowupMD =
findOptionalNodeOperand(Attr->Metadata, LLVMLoopUnrollFollowupUnrolled);
isl::id NewBandId = createGeneratedLoopAttr(Ctx, FollowupMD);
if (!NewBandId.is_null())
NewLoop = insertMark(NewLoop, NewBandId);
return NewLoop.get_schedule();
}
isl::set polly::getPartialTilePrefixes(isl::set ScheduleRange,
int VectorWidth) {
unsigned Dims = unsignedFromIslSize(ScheduleRange.tuple_dim());
assert(Dims >= 1);
isl::set LoopPrefixes =
ScheduleRange.drop_constraints_involving_dims(isl::dim::set, Dims - 1, 1);
auto ExtentPrefixes = addExtentConstraints(LoopPrefixes, VectorWidth);
isl::set BadPrefixes = ExtentPrefixes.subtract(ScheduleRange);
BadPrefixes = BadPrefixes.project_out(isl::dim::set, Dims - 1, 1);
LoopPrefixes = LoopPrefixes.project_out(isl::dim::set, Dims - 1, 1);
return LoopPrefixes.subtract(BadPrefixes);
}
isl::union_set polly::getIsolateOptions(isl::set IsolateDomain,
unsigned OutDimsNum) {
unsigned Dims = unsignedFromIslSize(IsolateDomain.tuple_dim());
assert(OutDimsNum <= Dims &&
"The isl::set IsolateDomain is used to describe the range of schedule "
"dimensions values, which should be isolated. Consequently, the "
"number of its dimensions should be greater than or equal to the "
"number of the schedule dimensions.");
isl::map IsolateRelation = isl::map::from_domain(IsolateDomain);
IsolateRelation = IsolateRelation.move_dims(isl::dim::out, 0, isl::dim::in,
Dims - OutDimsNum, OutDimsNum);
isl::set IsolateOption = IsolateRelation.wrap();
isl::id Id = isl::id::alloc(IsolateOption.ctx(), "isolate", nullptr);
IsolateOption = IsolateOption.set_tuple_id(Id);
return isl::union_set(IsolateOption);
}
isl::union_set polly::getDimOptions(isl::ctx Ctx, const char *Option) {
isl::space Space(Ctx, 0, 1);
auto DimOption = isl::set::universe(Space);
auto Id = isl::id::alloc(Ctx, Option, nullptr);
DimOption = DimOption.set_tuple_id(Id);
return isl::union_set(DimOption);
}
isl::schedule_node polly::tileNode(isl::schedule_node Node,
const char *Identifier,
ArrayRef<int> TileSizes,
int DefaultTileSize) {
auto Space = isl::manage(isl_schedule_node_band_get_space(Node.get()));
auto Dims = Space.dim(isl::dim::set);
auto Sizes = isl::multi_val::zero(Space);
std::string IdentifierString(Identifier);
for (unsigned i : rangeIslSize(0, Dims)) {
unsigned tileSize = i < TileSizes.size() ? TileSizes[i] : DefaultTileSize;
Sizes = Sizes.set_val(i, isl::val(Node.ctx(), tileSize));
}
auto TileLoopMarkerStr = IdentifierString + " - Tiles";
auto TileLoopMarker = isl::id::alloc(Node.ctx(), TileLoopMarkerStr, nullptr);
Node = Node.insert_mark(TileLoopMarker);
Node = Node.child(0);
Node =
isl::manage(isl_schedule_node_band_tile(Node.release(), Sizes.release()));
Node = Node.child(0);
auto PointLoopMarkerStr = IdentifierString + " - Points";
auto PointLoopMarker =
isl::id::alloc(Node.ctx(), PointLoopMarkerStr, nullptr);
Node = Node.insert_mark(PointLoopMarker);
return Node.child(0);
}
isl::schedule_node polly::applyRegisterTiling(isl::schedule_node Node,
ArrayRef<int> TileSizes,
int DefaultTileSize) {
Node = tileNode(Node, "Register tiling", TileSizes, DefaultTileSize);
auto Ctx = Node.ctx();
return Node.as<isl::schedule_node_band>().set_ast_build_options(
isl::union_set(Ctx, "{unroll[x]}"));
}
/// Find statements and sub-loops in (possibly nested) sequences.
static void
collectFissionableStmts(isl::schedule_node Node,
SmallVectorImpl<isl::schedule_node> &ScheduleStmts) {
if (isBand(Node) || isLeaf(Node)) {
ScheduleStmts.push_back(Node);
return;
}
if (Node.has_children()) {
isl::schedule_node C = Node.first_child();
while (true) {
collectFissionableStmts(C, ScheduleStmts);
if (!C.has_next_sibling())
break;
C = C.next_sibling();
}
}
}
isl::schedule polly::applyMaxFission(isl::schedule_node BandToFission) {
isl::ctx Ctx = BandToFission.ctx();
BandToFission = removeMark(BandToFission);
isl::schedule_node BandBody = BandToFission.child(0);
SmallVector<isl::schedule_node> FissionableStmts;
collectFissionableStmts(BandBody, FissionableStmts);
size_t N = FissionableStmts.size();
// Collect the domain for each of the statements that will get their own loop.
isl::union_set_list DomList = isl::union_set_list(Ctx, N);
for (size_t i = 0; i < N; ++i) {
isl::schedule_node BodyPart = FissionableStmts[i];
DomList = DomList.add(BodyPart.get_domain());
}
// Apply the fission by copying the entire loop, but inserting a filter for
// the statement domains for each fissioned loop.
isl::schedule_node Fissioned = BandToFission.insert_sequence(DomList);
return Fissioned.get_schedule();
}
isl::schedule polly::applyGreedyFusion(isl::schedule Sched,
const isl::union_map &Deps) {
LLVM_DEBUG(dbgs() << "Greedy loop fusion\n");
GreedyFusionRewriter Rewriter;
isl::schedule Result = Rewriter.visit(Sched, Deps);
if (!Rewriter.AnyChange) {
LLVM_DEBUG(dbgs() << "Found nothing to fuse\n");
return Sched;
}
// GreedyFusionRewriter due to working loop-by-loop, bands with multiple loops
// may have been split into multiple bands.
return collapseBands(Result);
}