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+//===- ScalarEvolutionExpander.cpp - Scalar Evolution Analysis ------------===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+//
+// This file contains the implementation of the scalar evolution expander,
+// which is used to generate the code corresponding to a given scalar evolution
+// expression.
+//
+//===----------------------------------------------------------------------===//
+
+#include "llvm/Transforms/Utils/ScalarEvolutionExpander.h"
+#include "llvm/ADT/STLExtras.h"
+#include "llvm/ADT/ScopeExit.h"
+#include "llvm/ADT/SmallSet.h"
+#include "llvm/Analysis/InstructionSimplify.h"
+#include "llvm/Analysis/LoopInfo.h"
+#include "llvm/Analysis/TargetTransformInfo.h"
+#include "llvm/Analysis/ValueTracking.h"
+#include "llvm/IR/DataLayout.h"
+#include "llvm/IR/Dominators.h"
+#include "llvm/IR/IntrinsicInst.h"
+#include "llvm/IR/PatternMatch.h"
+#include "llvm/Support/CommandLine.h"
+#include "llvm/Support/raw_ostream.h"
+#include "llvm/Transforms/Utils/LoopUtils.h"
+
+#ifdef LLVM_ENABLE_ABI_BREAKING_CHECKS
+#define SCEV_DEBUG_WITH_TYPE(TYPE, X) DEBUG_WITH_TYPE(TYPE, X)
+#else
+#define SCEV_DEBUG_WITH_TYPE(TYPE, X)
+#endif
+
+using namespace llvm;
+
+cl::opt<unsigned> llvm::SCEVCheapExpansionBudget(
+ "scev-cheap-expansion-budget", cl::Hidden, cl::init(4),
+ cl::desc("When performing SCEV expansion only if it is cheap to do, this "
+ "controls the budget that is considered cheap (default = 4)"));
+
+using namespace PatternMatch;
+
+/// ReuseOrCreateCast - Arrange for there to be a cast of V to Ty at IP,
+/// reusing an existing cast if a suitable one (= dominating IP) exists, or
+/// creating a new one.
+Value *SCEVExpander::ReuseOrCreateCast(Value *V, Type *Ty,
+ Instruction::CastOps Op,
+ BasicBlock::iterator IP) {
+ // This function must be called with the builder having a valid insertion
+ // point. It doesn't need to be the actual IP where the uses of the returned
+ // cast will be added, but it must dominate such IP.
+ // We use this precondition to produce a cast that will dominate all its
+ // uses. In particular, this is crucial for the case where the builder's
+ // insertion point *is* the point where we were asked to put the cast.
+ // Since we don't know the builder's insertion point is actually
+ // where the uses will be added (only that it dominates it), we are
+ // not allowed to move it.
+ BasicBlock::iterator BIP = Builder.GetInsertPoint();
+
+ Value *Ret = nullptr;
+
+ // Check to see if there is already a cast!
+ for (User *U : V->users()) {
+ if (U->getType() != Ty)
+ continue;
+ CastInst *CI = dyn_cast<CastInst>(U);
+ if (!CI || CI->getOpcode() != Op)
+ continue;
+
+ // Found a suitable cast that is at IP or comes before IP. Use it. Note that
+ // the cast must also properly dominate the Builder's insertion point.
+ if (IP->getParent() == CI->getParent() && &*BIP != CI &&
+ (&*IP == CI || CI->comesBefore(&*IP))) {
+ Ret = CI;
+ break;
+ }
+ }
+
+ // Create a new cast.
+ if (!Ret) {
+ SCEVInsertPointGuard Guard(Builder, this);
+ Builder.SetInsertPoint(&*IP);
+ Ret = Builder.CreateCast(Op, V, Ty, V->getName());
+ }
+
+ // We assert at the end of the function since IP might point to an
+ // instruction with different dominance properties than a cast
+ // (an invoke for example) and not dominate BIP (but the cast does).
+ assert(!isa<Instruction>(Ret) ||
+ SE.DT.dominates(cast<Instruction>(Ret), &*BIP));
+
+ return Ret;
+}
+
+BasicBlock::iterator
+SCEVExpander::findInsertPointAfter(Instruction *I,
+ Instruction *MustDominate) const {
+ BasicBlock::iterator IP = ++I->getIterator();
+ if (auto *II = dyn_cast<InvokeInst>(I))
+ IP = II->getNormalDest()->begin();
+
+ while (isa<PHINode>(IP))
+ ++IP;
+
+ if (isa<FuncletPadInst>(IP) || isa<LandingPadInst>(IP)) {
+ ++IP;
+ } else if (isa<CatchSwitchInst>(IP)) {
+ IP = MustDominate->getParent()->getFirstInsertionPt();
+ } else {
+ assert(!IP->isEHPad() && "unexpected eh pad!");
+ }
+
+ // Adjust insert point to be after instructions inserted by the expander, so
+ // we can re-use already inserted instructions. Avoid skipping past the
+ // original \p MustDominate, in case it is an inserted instruction.
+ while (isInsertedInstruction(&*IP) && &*IP != MustDominate)
+ ++IP;
+
+ return IP;
+}
+
+BasicBlock::iterator
+SCEVExpander::GetOptimalInsertionPointForCastOf(Value *V) const {
+ // Cast the argument at the beginning of the entry block, after
+ // any bitcasts of other arguments.
+ if (Argument *A = dyn_cast<Argument>(V)) {
+ BasicBlock::iterator IP = A->getParent()->getEntryBlock().begin();
+ while ((isa<BitCastInst>(IP) &&
+ isa<Argument>(cast<BitCastInst>(IP)->getOperand(0)) &&
+ cast<BitCastInst>(IP)->getOperand(0) != A) ||
+ isa<DbgInfoIntrinsic>(IP))
+ ++IP;
+ return IP;
+ }
+
+ // Cast the instruction immediately after the instruction.
+ if (Instruction *I = dyn_cast<Instruction>(V))
+ return findInsertPointAfter(I, &*Builder.GetInsertPoint());
+
+ // Otherwise, this must be some kind of a constant,
+ // so let's plop this cast into the function's entry block.
+ assert(isa<Constant>(V) &&
+ "Expected the cast argument to be a global/constant");
+ return Builder.GetInsertBlock()
+ ->getParent()
+ ->getEntryBlock()
+ .getFirstInsertionPt();
+}
+
+/// InsertNoopCastOfTo - Insert a cast of V to the specified type,
+/// which must be possible with a noop cast, doing what we can to share
+/// the casts.
+Value *SCEVExpander::InsertNoopCastOfTo(Value *V, Type *Ty) {
+ Instruction::CastOps Op = CastInst::getCastOpcode(V, false, Ty, false);
+ assert((Op == Instruction::BitCast ||
+ Op == Instruction::PtrToInt ||
+ Op == Instruction::IntToPtr) &&
+ "InsertNoopCastOfTo cannot perform non-noop casts!");
+ assert(SE.getTypeSizeInBits(V->getType()) == SE.getTypeSizeInBits(Ty) &&
+ "InsertNoopCastOfTo cannot change sizes!");
+
+ // inttoptr only works for integral pointers. For non-integral pointers, we
+ // can create a GEP on i8* null with the integral value as index. Note that
+ // it is safe to use GEP of null instead of inttoptr here, because only
+ // expressions already based on a GEP of null should be converted to pointers
+ // during expansion.
+ if (Op == Instruction::IntToPtr) {
+ auto *PtrTy = cast<PointerType>(Ty);
+ if (DL.isNonIntegralPointerType(PtrTy)) {
+ auto *Int8PtrTy = Builder.getInt8PtrTy(PtrTy->getAddressSpace());
+ assert(DL.getTypeAllocSize(Builder.getInt8Ty()) == 1 &&
+ "alloc size of i8 must by 1 byte for the GEP to be correct");
+ auto *GEP = Builder.CreateGEP(
+ Builder.getInt8Ty(), Constant::getNullValue(Int8PtrTy), V, "uglygep");
+ return Builder.CreateBitCast(GEP, Ty);
+ }
+ }
+ // Short-circuit unnecessary bitcasts.
+ if (Op == Instruction::BitCast) {
+ if (V->getType() == Ty)
+ return V;
+ if (CastInst *CI = dyn_cast<CastInst>(V)) {
+ if (CI->getOperand(0)->getType() == Ty)
+ return CI->getOperand(0);
+ }
+ }
+ // Short-circuit unnecessary inttoptr<->ptrtoint casts.
+ if ((Op == Instruction::PtrToInt || Op == Instruction::IntToPtr) &&
+ SE.getTypeSizeInBits(Ty) == SE.getTypeSizeInBits(V->getType())) {
+ if (CastInst *CI = dyn_cast<CastInst>(V))
+ if ((CI->getOpcode() == Instruction::PtrToInt ||
+ CI->getOpcode() == Instruction::IntToPtr) &&
+ SE.getTypeSizeInBits(CI->getType()) ==
+ SE.getTypeSizeInBits(CI->getOperand(0)->getType()))
+ return CI->getOperand(0);
+ if (ConstantExpr *CE = dyn_cast<ConstantExpr>(V))
+ if ((CE->getOpcode() == Instruction::PtrToInt ||
+ CE->getOpcode() == Instruction::IntToPtr) &&
+ SE.getTypeSizeInBits(CE->getType()) ==
+ SE.getTypeSizeInBits(CE->getOperand(0)->getType()))
+ return CE->getOperand(0);
+ }
+
+ // Fold a cast of a constant.
+ if (Constant *C = dyn_cast<Constant>(V))
+ return ConstantExpr::getCast(Op, C, Ty);
+
+ // Try to reuse existing cast, or insert one.
+ return ReuseOrCreateCast(V, Ty, Op, GetOptimalInsertionPointForCastOf(V));
+}
+
+/// InsertBinop - Insert the specified binary operator, doing a small amount
+/// of work to avoid inserting an obviously redundant operation, and hoisting
+/// to an outer loop when the opportunity is there and it is safe.
+Value *SCEVExpander::InsertBinop(Instruction::BinaryOps Opcode,
+ Value *LHS, Value *RHS,
+ SCEV::NoWrapFlags Flags, bool IsSafeToHoist) {
+ // Fold a binop with constant operands.
+ if (Constant *CLHS = dyn_cast<Constant>(LHS))
+ if (Constant *CRHS = dyn_cast<Constant>(RHS))
+ if (Constant *Res = ConstantFoldBinaryOpOperands(Opcode, CLHS, CRHS, DL))
+ return Res;
+
+ // Do a quick scan to see if we have this binop nearby. If so, reuse it.
+ unsigned ScanLimit = 6;
+ BasicBlock::iterator BlockBegin = Builder.GetInsertBlock()->begin();
+ // Scanning starts from the last instruction before the insertion point.
+ BasicBlock::iterator IP = Builder.GetInsertPoint();
+ if (IP != BlockBegin) {
+ --IP;
+ for (; ScanLimit; --IP, --ScanLimit) {
+ // Don't count dbg.value against the ScanLimit, to avoid perturbing the
+ // generated code.
+ if (isa<DbgInfoIntrinsic>(IP))
+ ScanLimit++;
+
+ auto canGenerateIncompatiblePoison = [&Flags](Instruction *I) {
+ // Ensure that no-wrap flags match.
+ if (isa<OverflowingBinaryOperator>(I)) {
+ if (I->hasNoSignedWrap() != (Flags & SCEV::FlagNSW))
+ return true;
+ if (I->hasNoUnsignedWrap() != (Flags & SCEV::FlagNUW))
+ return true;
+ }
+ // Conservatively, do not use any instruction which has any of exact
+ // flags installed.
+ if (isa<PossiblyExactOperator>(I) && I->isExact())
+ return true;
+ return false;
+ };
+ if (IP->getOpcode() == (unsigned)Opcode && IP->getOperand(0) == LHS &&
+ IP->getOperand(1) == RHS && !canGenerateIncompatiblePoison(&*IP))
+ return &*IP;
+ if (IP == BlockBegin) break;
+ }
+ }
+
+ // Save the original insertion point so we can restore it when we're done.
+ DebugLoc Loc = Builder.GetInsertPoint()->getDebugLoc();
+ SCEVInsertPointGuard Guard(Builder, this);
+
+ if (IsSafeToHoist) {
+ // Move the insertion point out of as many loops as we can.
+ while (const Loop *L = SE.LI.getLoopFor(Builder.GetInsertBlock())) {
+ if (!L->isLoopInvariant(LHS) || !L->isLoopInvariant(RHS)) break;
+ BasicBlock *Preheader = L->getLoopPreheader();
+ if (!Preheader) break;
+
+ // Ok, move up a level.
+ Builder.SetInsertPoint(Preheader->getTerminator());
+ }
+ }
+
+ // If we haven't found this binop, insert it.
+ // TODO: Use the Builder, which will make CreateBinOp below fold with
+ // InstSimplifyFolder.
+ Instruction *BO = Builder.Insert(BinaryOperator::Create(Opcode, LHS, RHS));
+ BO->setDebugLoc(Loc);
+ if (Flags & SCEV::FlagNUW)
+ BO->setHasNoUnsignedWrap();
+ if (Flags & SCEV::FlagNSW)
+ BO->setHasNoSignedWrap();
+
+ return BO;
+}
+
+/// FactorOutConstant - Test if S is divisible by Factor, using signed
+/// division. If so, update S with Factor divided out and return true.
+/// S need not be evenly divisible if a reasonable remainder can be
+/// computed.
+static bool FactorOutConstant(const SCEV *&S, const SCEV *&Remainder,
+ const SCEV *Factor, ScalarEvolution &SE,
+ const DataLayout &DL) {
+ // Everything is divisible by one.
+ if (Factor->isOne())
+ return true;
+
+ // x/x == 1.
+ if (S == Factor) {
+ S = SE.getConstant(S->getType(), 1);
+ return true;
+ }
+
+ // For a Constant, check for a multiple of the given factor.
+ if (const SCEVConstant *C = dyn_cast<SCEVConstant>(S)) {
+ // 0/x == 0.
+ if (C->isZero())
+ return true;
+ // Check for divisibility.
+ if (const SCEVConstant *FC = dyn_cast<SCEVConstant>(Factor)) {
+ ConstantInt *CI =
+ ConstantInt::get(SE.getContext(), C->getAPInt().sdiv(FC->getAPInt()));
+ // If the quotient is zero and the remainder is non-zero, reject
+ // the value at this scale. It will be considered for subsequent
+ // smaller scales.
+ if (!CI->isZero()) {
+ const SCEV *Div = SE.getConstant(CI);
+ S = Div;
+ Remainder = SE.getAddExpr(
+ Remainder, SE.getConstant(C->getAPInt().srem(FC->getAPInt())));
+ return true;
+ }
+ }
+ }
+
+ // In a Mul, check if there is a constant operand which is a multiple
+ // of the given factor.
+ if (const SCEVMulExpr *M = dyn_cast<SCEVMulExpr>(S)) {
+ // Size is known, check if there is a constant operand which is a multiple
+ // of the given factor. If so, we can factor it.
+ if (const SCEVConstant *FC = dyn_cast<SCEVConstant>(Factor))
+ if (const SCEVConstant *C = dyn_cast<SCEVConstant>(M->getOperand(0)))
+ if (!C->getAPInt().srem(FC->getAPInt())) {
+ SmallVector<const SCEV *, 4> NewMulOps(M->operands());
+ NewMulOps[0] = SE.getConstant(C->getAPInt().sdiv(FC->getAPInt()));
+ S = SE.getMulExpr(NewMulOps);
+ return true;
+ }
+ }
+
+ // In an AddRec, check if both start and step are divisible.
+ if (const SCEVAddRecExpr *A = dyn_cast<SCEVAddRecExpr>(S)) {
+ const SCEV *Step = A->getStepRecurrence(SE);
+ const SCEV *StepRem = SE.getConstant(Step->getType(), 0);
+ if (!FactorOutConstant(Step, StepRem, Factor, SE, DL))
+ return false;
+ if (!StepRem->isZero())
+ return false;
+ const SCEV *Start = A->getStart();
+ if (!FactorOutConstant(Start, Remainder, Factor, SE, DL))
+ return false;
+ S = SE.getAddRecExpr(Start, Step, A->getLoop(),
+ A->getNoWrapFlags(SCEV::FlagNW));
+ return true;
+ }
+
+ return false;
+}
+
+/// SimplifyAddOperands - Sort and simplify a list of add operands. NumAddRecs
+/// is the number of SCEVAddRecExprs present, which are kept at the end of
+/// the list.
+///
+static void SimplifyAddOperands(SmallVectorImpl<const SCEV *> &Ops,
+ Type *Ty,
+ ScalarEvolution &SE) {
+ unsigned NumAddRecs = 0;
+ for (unsigned i = Ops.size(); i > 0 && isa<SCEVAddRecExpr>(Ops[i-1]); --i)
+ ++NumAddRecs;
+ // Group Ops into non-addrecs and addrecs.
+ SmallVector<const SCEV *, 8> NoAddRecs(Ops.begin(), Ops.end() - NumAddRecs);
+ SmallVector<const SCEV *, 8> AddRecs(Ops.end() - NumAddRecs, Ops.end());
+ // Let ScalarEvolution sort and simplify the non-addrecs list.
+ const SCEV *Sum = NoAddRecs.empty() ?
+ SE.getConstant(Ty, 0) :
+ SE.getAddExpr(NoAddRecs);
+ // If it returned an add, use the operands. Otherwise it simplified
+ // the sum into a single value, so just use that.
+ Ops.clear();
+ if (const SCEVAddExpr *Add = dyn_cast<SCEVAddExpr>(Sum))
+ append_range(Ops, Add->operands());
+ else if (!Sum->isZero())
+ Ops.push_back(Sum);
+ // Then append the addrecs.
+ Ops.append(AddRecs.begin(), AddRecs.end());
+}
+
+/// SplitAddRecs - Flatten a list of add operands, moving addrec start values
+/// out to the top level. For example, convert {a + b,+,c} to a, b, {0,+,d}.
+/// This helps expose more opportunities for folding parts of the expressions
+/// into GEP indices.
+///
+static void SplitAddRecs(SmallVectorImpl<const SCEV *> &Ops,
+ Type *Ty,
+ ScalarEvolution &SE) {
+ // Find the addrecs.
+ SmallVector<const SCEV *, 8> AddRecs;
+ for (unsigned i = 0, e = Ops.size(); i != e; ++i)
+ while (const SCEVAddRecExpr *A = dyn_cast<SCEVAddRecExpr>(Ops[i])) {
+ const SCEV *Start = A->getStart();
+ if (Start->isZero()) break;
+ const SCEV *Zero = SE.getConstant(Ty, 0);
+ AddRecs.push_back(SE.getAddRecExpr(Zero,
+ A->getStepRecurrence(SE),
+ A->getLoop(),
+ A->getNoWrapFlags(SCEV::FlagNW)));
+ if (const SCEVAddExpr *Add = dyn_cast<SCEVAddExpr>(Start)) {
+ Ops[i] = Zero;
+ append_range(Ops, Add->operands());
+ e += Add->getNumOperands();
+ } else {
+ Ops[i] = Start;
+ }
+ }
+ if (!AddRecs.empty()) {
+ // Add the addrecs onto the end of the list.
+ Ops.append(AddRecs.begin(), AddRecs.end());
+ // Resort the operand list, moving any constants to the front.
+ SimplifyAddOperands(Ops, Ty, SE);
+ }
+}
+
+/// expandAddToGEP - Expand an addition expression with a pointer type into
+/// a GEP instead of using ptrtoint+arithmetic+inttoptr. This helps
+/// BasicAliasAnalysis and other passes analyze the result. See the rules
+/// for getelementptr vs. inttoptr in
+/// http://llvm.org/docs/LangRef.html#pointeraliasing
+/// for details.
+///
+/// Design note: The correctness of using getelementptr here depends on
+/// ScalarEvolution not recognizing inttoptr and ptrtoint operators, as
+/// they may introduce pointer arithmetic which may not be safely converted
+/// into getelementptr.
+///
+/// Design note: It might seem desirable for this function to be more
+/// loop-aware. If some of the indices are loop-invariant while others
+/// aren't, it might seem desirable to emit multiple GEPs, keeping the
+/// loop-invariant portions of the overall computation outside the loop.
+/// However, there are a few reasons this is not done here. Hoisting simple
+/// arithmetic is a low-level optimization that often isn't very
+/// important until late in the optimization process. In fact, passes
+/// like InstructionCombining will combine GEPs, even if it means
+/// pushing loop-invariant computation down into loops, so even if the
+/// GEPs were split here, the work would quickly be undone. The
+/// LoopStrengthReduction pass, which is usually run quite late (and
+/// after the last InstructionCombining pass), takes care of hoisting
+/// loop-invariant portions of expressions, after considering what
+/// can be folded using target addressing modes.
+///
+Value *SCEVExpander::expandAddToGEP(const SCEV *const *op_begin,
+ const SCEV *const *op_end,
+ PointerType *PTy,
+ Type *Ty,
+ Value *V) {
+ SmallVector<Value *, 4> GepIndices;
+ SmallVector<const SCEV *, 8> Ops(op_begin, op_end);
+ bool AnyNonZeroIndices = false;
+
+ // Split AddRecs up into parts as either of the parts may be usable
+ // without the other.
+ SplitAddRecs(Ops, Ty, SE);
+
+ Type *IntIdxTy = DL.getIndexType(PTy);
+
+ // For opaque pointers, always generate i8 GEP.
+ if (!PTy->isOpaque()) {
+ // Descend down the pointer's type and attempt to convert the other
+ // operands into GEP indices, at each level. The first index in a GEP
+ // indexes into the array implied by the pointer operand; the rest of
+ // the indices index into the element or field type selected by the
+ // preceding index.
+ Type *ElTy = PTy->getNonOpaquePointerElementType();
+ for (;;) {
+ // If the scale size is not 0, attempt to factor out a scale for
+ // array indexing.
+ SmallVector<const SCEV *, 8> ScaledOps;
+ if (ElTy->isSized()) {
+ const SCEV *ElSize = SE.getSizeOfExpr(IntIdxTy, ElTy);
+ if (!ElSize->isZero()) {
+ SmallVector<const SCEV *, 8> NewOps;
+ for (const SCEV *Op : Ops) {
+ const SCEV *Remainder = SE.getConstant(Ty, 0);
+ if (FactorOutConstant(Op, Remainder, ElSize, SE, DL)) {
+ // Op now has ElSize factored out.
+ ScaledOps.push_back(Op);
+ if (!Remainder->isZero())
+ NewOps.push_back(Remainder);
+ AnyNonZeroIndices = true;
+ } else {
+ // The operand was not divisible, so add it to the list of
+ // operands we'll scan next iteration.
+ NewOps.push_back(Op);
+ }
+ }
+ // If we made any changes, update Ops.
+ if (!ScaledOps.empty()) {
+ Ops = NewOps;
+ SimplifyAddOperands(Ops, Ty, SE);
+ }
+ }
+ }
+
+ // Record the scaled array index for this level of the type. If
+ // we didn't find any operands that could be factored, tentatively
+ // assume that element zero was selected (since the zero offset
+ // would obviously be folded away).
+ Value *Scaled =
+ ScaledOps.empty()
+ ? Constant::getNullValue(Ty)
+ : expandCodeForImpl(SE.getAddExpr(ScaledOps), Ty);
+ GepIndices.push_back(Scaled);
+
+ // Collect struct field index operands.
+ while (StructType *STy = dyn_cast<StructType>(ElTy)) {
+ bool FoundFieldNo = false;
+ // An empty struct has no fields.
+ if (STy->getNumElements() == 0) break;
+ // Field offsets are known. See if a constant offset falls within any of
+ // the struct fields.
+ if (Ops.empty())
+ break;
+ if (const SCEVConstant *C = dyn_cast<SCEVConstant>(Ops[0]))
+ if (SE.getTypeSizeInBits(C->getType()) <= 64) {
+ const StructLayout &SL = *DL.getStructLayout(STy);
+ uint64_t FullOffset = C->getValue()->getZExtValue();
+ if (FullOffset < SL.getSizeInBytes()) {
+ unsigned ElIdx = SL.getElementContainingOffset(FullOffset);
+ GepIndices.push_back(
+ ConstantInt::get(Type::getInt32Ty(Ty->getContext()), ElIdx));
+ ElTy = STy->getTypeAtIndex(ElIdx);
+ Ops[0] =
+ SE.getConstant(Ty, FullOffset - SL.getElementOffset(ElIdx));
+ AnyNonZeroIndices = true;
+ FoundFieldNo = true;
+ }
+ }
+ // If no struct field offsets were found, tentatively assume that
+ // field zero was selected (since the zero offset would obviously
+ // be folded away).
+ if (!FoundFieldNo) {
+ ElTy = STy->getTypeAtIndex(0u);
+ GepIndices.push_back(
+ Constant::getNullValue(Type::getInt32Ty(Ty->getContext())));
+ }
+ }
+
+ if (ArrayType *ATy = dyn_cast<ArrayType>(ElTy))
+ ElTy = ATy->getElementType();
+ else
+ // FIXME: Handle VectorType.
+ // E.g., If ElTy is scalable vector, then ElSize is not a compile-time
+ // constant, therefore can not be factored out. The generated IR is less
+ // ideal with base 'V' cast to i8* and do ugly getelementptr over that.
+ break;
+ }
+ }
+
+ // If none of the operands were convertible to proper GEP indices, cast
+ // the base to i8* and do an ugly getelementptr with that. It's still
+ // better than ptrtoint+arithmetic+inttoptr at least.
+ if (!AnyNonZeroIndices) {
+ // Cast the base to i8*.
+ if (!PTy->isOpaque())
+ V = InsertNoopCastOfTo(V,
+ Type::getInt8PtrTy(Ty->getContext(), PTy->getAddressSpace()));
+
+ assert(!isa<Instruction>(V) ||
+ SE.DT.dominates(cast<Instruction>(V), &*Builder.GetInsertPoint()));
+
+ // Expand the operands for a plain byte offset.
+ Value *Idx = expandCodeForImpl(SE.getAddExpr(Ops), Ty);
+
+ // Fold a GEP with constant operands.
+ if (Constant *CLHS = dyn_cast<Constant>(V))
+ if (Constant *CRHS = dyn_cast<Constant>(Idx))
+ return Builder.CreateGEP(Builder.getInt8Ty(), CLHS, CRHS);
+
+ // Do a quick scan to see if we have this GEP nearby. If so, reuse it.
+ unsigned ScanLimit = 6;
+ BasicBlock::iterator BlockBegin = Builder.GetInsertBlock()->begin();
+ // Scanning starts from the last instruction before the insertion point.
+ BasicBlock::iterator IP = Builder.GetInsertPoint();
+ if (IP != BlockBegin) {
+ --IP;
+ for (; ScanLimit; --IP, --ScanLimit) {
+ // Don't count dbg.value against the ScanLimit, to avoid perturbing the
+ // generated code.
+ if (isa<DbgInfoIntrinsic>(IP))
+ ScanLimit++;
+ if (IP->getOpcode() == Instruction::GetElementPtr &&
+ IP->getOperand(0) == V && IP->getOperand(1) == Idx &&
+ cast<GEPOperator>(&*IP)->getSourceElementType() ==
+ Type::getInt8Ty(Ty->getContext()))
+ return &*IP;
+ if (IP == BlockBegin) break;
+ }
+ }
+
+ // Save the original insertion point so we can restore it when we're done.
+ SCEVInsertPointGuard Guard(Builder, this);
+
+ // Move the insertion point out of as many loops as we can.
+ while (const Loop *L = SE.LI.getLoopFor(Builder.GetInsertBlock())) {
+ if (!L->isLoopInvariant(V) || !L->isLoopInvariant(Idx)) break;
+ BasicBlock *Preheader = L->getLoopPreheader();
+ if (!Preheader) break;
+
+ // Ok, move up a level.
+ Builder.SetInsertPoint(Preheader->getTerminator());
+ }
+
+ // Emit a GEP.
+ return Builder.CreateGEP(Builder.getInt8Ty(), V, Idx, "uglygep");
+ }
+
+ {
+ SCEVInsertPointGuard Guard(Builder, this);
+
+ // Move the insertion point out of as many loops as we can.
+ while (const Loop *L = SE.LI.getLoopFor(Builder.GetInsertBlock())) {
+ if (!L->isLoopInvariant(V)) break;
+
+ bool AnyIndexNotLoopInvariant = any_of(
+ GepIndices, [L](Value *Op) { return !L->isLoopInvariant(Op); });
+
+ if (AnyIndexNotLoopInvariant)
+ break;
+
+ BasicBlock *Preheader = L->getLoopPreheader();
+ if (!Preheader) break;
+
+ // Ok, move up a level.
+ Builder.SetInsertPoint(Preheader->getTerminator());
+ }
+
+ // Insert a pretty getelementptr. Note that this GEP is not marked inbounds,
+ // because ScalarEvolution may have changed the address arithmetic to
+ // compute a value which is beyond the end of the allocated object.
+ Value *Casted = V;
+ if (V->getType() != PTy)
+ Casted = InsertNoopCastOfTo(Casted, PTy);
+ Value *GEP = Builder.CreateGEP(PTy->getNonOpaquePointerElementType(),
+ Casted, GepIndices, "scevgep");
+ Ops.push_back(SE.getUnknown(GEP));
+ }
+
+ return expand(SE.getAddExpr(Ops));
+}
+
+Value *SCEVExpander::expandAddToGEP(const SCEV *Op, PointerType *PTy, Type *Ty,
+ Value *V) {
+ const SCEV *const Ops[1] = {Op};
+ return expandAddToGEP(Ops, Ops + 1, PTy, Ty, V);
+}
+
+/// PickMostRelevantLoop - Given two loops pick the one that's most relevant for
+/// SCEV expansion. If they are nested, this is the most nested. If they are
+/// neighboring, pick the later.
+static const Loop *PickMostRelevantLoop(const Loop *A, const Loop *B,
+ DominatorTree &DT) {
+ if (!A) return B;
+ if (!B) return A;
+ if (A->contains(B)) return B;
+ if (B->contains(A)) return A;
+ if (DT.dominates(A->getHeader(), B->getHeader())) return B;
+ if (DT.dominates(B->getHeader(), A->getHeader())) return A;
+ return A; // Arbitrarily break the tie.
+}
+
+/// getRelevantLoop - Get the most relevant loop associated with the given
+/// expression, according to PickMostRelevantLoop.
+const Loop *SCEVExpander::getRelevantLoop(const SCEV *S) {
+ // Test whether we've already computed the most relevant loop for this SCEV.
+ auto Pair = RelevantLoops.insert(std::make_pair(S, nullptr));
+ if (!Pair.second)
+ return Pair.first->second;
+
+ switch (S->getSCEVType()) {
+ case scConstant:
+ return nullptr; // A constant has no relevant loops.
+ case scTruncate:
+ case scZeroExtend:
+ case scSignExtend:
+ case scPtrToInt:
+ case scAddExpr:
+ case scMulExpr:
+ case scUDivExpr:
+ case scAddRecExpr:
+ case scUMaxExpr:
+ case scSMaxExpr:
+ case scUMinExpr:
+ case scSMinExpr:
+ case scSequentialUMinExpr: {
+ const Loop *L = nullptr;
+ if (const SCEVAddRecExpr *AR = dyn_cast<SCEVAddRecExpr>(S))
+ L = AR->getLoop();
+ for (const SCEV *Op : S->operands())
+ L = PickMostRelevantLoop(L, getRelevantLoop(Op), SE.DT);
+ return RelevantLoops[S] = L;
+ }
+ case scUnknown: {
+ const SCEVUnknown *U = cast<SCEVUnknown>(S);
+ if (const Instruction *I = dyn_cast<Instruction>(U->getValue()))
+ return Pair.first->second = SE.LI.getLoopFor(I->getParent());
+ // A non-instruction has no relevant loops.
+ return nullptr;
+ }
+ case scCouldNotCompute:
+ llvm_unreachable("Attempt to use a SCEVCouldNotCompute object!");
+ }
+ llvm_unreachable("Unexpected SCEV type!");
+}
+
+namespace {
+
+/// LoopCompare - Compare loops by PickMostRelevantLoop.
+class LoopCompare {
+ DominatorTree &DT;
+public:
+ explicit LoopCompare(DominatorTree &dt) : DT(dt) {}
+
+ bool operator()(std::pair<const Loop *, const SCEV *> LHS,
+ std::pair<const Loop *, const SCEV *> RHS) const {
+ // Keep pointer operands sorted at the end.
+ if (LHS.second->getType()->isPointerTy() !=
+ RHS.second->getType()->isPointerTy())
+ return LHS.second->getType()->isPointerTy();
+
+ // Compare loops with PickMostRelevantLoop.
+ if (LHS.first != RHS.first)
+ return PickMostRelevantLoop(LHS.first, RHS.first, DT) != LHS.first;
+
+ // If one operand is a non-constant negative and the other is not,
+ // put the non-constant negative on the right so that a sub can
+ // be used instead of a negate and add.
+ if (LHS.second->isNonConstantNegative()) {
+ if (!RHS.second->isNonConstantNegative())
+ return false;
+ } else if (RHS.second->isNonConstantNegative())
+ return true;
+
+ // Otherwise they are equivalent according to this comparison.
+ return false;
+ }
+};
+
+}
+
+Value *SCEVExpander::visitAddExpr(const SCEVAddExpr *S) {
+ Type *Ty = SE.getEffectiveSCEVType(S->getType());
+
+ // Collect all the add operands in a loop, along with their associated loops.
+ // Iterate in reverse so that constants are emitted last, all else equal, and
+ // so that pointer operands are inserted first, which the code below relies on
+ // to form more involved GEPs.
+ SmallVector<std::pair<const Loop *, const SCEV *>, 8> OpsAndLoops;
+ for (const SCEV *Op : reverse(S->operands()))
+ OpsAndLoops.push_back(std::make_pair(getRelevantLoop(Op), Op));
+
+ // Sort by loop. Use a stable sort so that constants follow non-constants and
+ // pointer operands precede non-pointer operands.
+ llvm::stable_sort(OpsAndLoops, LoopCompare(SE.DT));
+
+ // Emit instructions to add all the operands. Hoist as much as possible
+ // out of loops, and form meaningful getelementptrs where possible.
+ Value *Sum = nullptr;
+ for (auto I = OpsAndLoops.begin(), E = OpsAndLoops.end(); I != E;) {
+ const Loop *CurLoop = I->first;
+ const SCEV *Op = I->second;
+ if (!Sum) {
+ // This is the first operand. Just expand it.
+ Sum = expand(Op);
+ ++I;
+ continue;
+ }
+
+ assert(!Op->getType()->isPointerTy() && "Only first op can be pointer");
+ if (PointerType *PTy = dyn_cast<PointerType>(Sum->getType())) {
+ // The running sum expression is a pointer. Try to form a getelementptr
+ // at this level with that as the base.
+ SmallVector<const SCEV *, 4> NewOps;
+ for (; I != E && I->first == CurLoop; ++I) {
+ // If the operand is SCEVUnknown and not instructions, peek through
+ // it, to enable more of it to be folded into the GEP.
+ const SCEV *X = I->second;
+ if (const SCEVUnknown *U = dyn_cast<SCEVUnknown>(X))
+ if (!isa<Instruction>(U->getValue()))
+ X = SE.getSCEV(U->getValue());
+ NewOps.push_back(X);
+ }
+ Sum = expandAddToGEP(NewOps.begin(), NewOps.end(), PTy, Ty, Sum);
+ } else if (Op->isNonConstantNegative()) {
+ // Instead of doing a negate and add, just do a subtract.
+ Value *W = expandCodeForImpl(SE.getNegativeSCEV(Op), Ty);
+ Sum = InsertNoopCastOfTo(Sum, Ty);
+ Sum = InsertBinop(Instruction::Sub, Sum, W, SCEV::FlagAnyWrap,
+ /*IsSafeToHoist*/ true);
+ ++I;
+ } else {
+ // A simple add.
+ Value *W = expandCodeForImpl(Op, Ty);
+ Sum = InsertNoopCastOfTo(Sum, Ty);
+ // Canonicalize a constant to the RHS.
+ if (isa<Constant>(Sum)) std::swap(Sum, W);
+ Sum = InsertBinop(Instruction::Add, Sum, W, S->getNoWrapFlags(),
+ /*IsSafeToHoist*/ true);
+ ++I;
+ }
+ }
+
+ return Sum;
+}
+
+Value *SCEVExpander::visitMulExpr(const SCEVMulExpr *S) {
+ Type *Ty = SE.getEffectiveSCEVType(S->getType());
+
+ // Collect all the mul operands in a loop, along with their associated loops.
+ // Iterate in reverse so that constants are emitted last, all else equal.
+ SmallVector<std::pair<const Loop *, const SCEV *>, 8> OpsAndLoops;
+ for (const SCEV *Op : reverse(S->operands()))
+ OpsAndLoops.push_back(std::make_pair(getRelevantLoop(Op), Op));
+
+ // Sort by loop. Use a stable sort so that constants follow non-constants.
+ llvm::stable_sort(OpsAndLoops, LoopCompare(SE.DT));
+
+ // Emit instructions to mul all the operands. Hoist as much as possible
+ // out of loops.
+ Value *Prod = nullptr;
+ auto I = OpsAndLoops.begin();
+
+ // Expand the calculation of X pow N in the following manner:
+ // Let N = P1 + P2 + ... + PK, where all P are powers of 2. Then:
+ // X pow N = (X pow P1) * (X pow P2) * ... * (X pow PK).
+ const auto ExpandOpBinPowN = [this, &I, &OpsAndLoops, &Ty]() {
+ auto E = I;
+ // Calculate how many times the same operand from the same loop is included
+ // into this power.
+ uint64_t Exponent = 0;
+ const uint64_t MaxExponent = UINT64_MAX >> 1;
+ // No one sane will ever try to calculate such huge exponents, but if we
+ // need this, we stop on UINT64_MAX / 2 because we need to exit the loop
+ // below when the power of 2 exceeds our Exponent, and we want it to be
+ // 1u << 31 at most to not deal with unsigned overflow.
+ while (E != OpsAndLoops.end() && *I == *E && Exponent != MaxExponent) {
+ ++Exponent;
+ ++E;
+ }
+ assert(Exponent > 0 && "Trying to calculate a zeroth exponent of operand?");
+
+ // Calculate powers with exponents 1, 2, 4, 8 etc. and include those of them
+ // that are needed into the result.
+ Value *P = expandCodeForImpl(I->second, Ty);
+ Value *Result = nullptr;
+ if (Exponent & 1)
+ Result = P;
+ for (uint64_t BinExp = 2; BinExp <= Exponent; BinExp <<= 1) {
+ P = InsertBinop(Instruction::Mul, P, P, SCEV::FlagAnyWrap,
+ /*IsSafeToHoist*/ true);
+ if (Exponent & BinExp)
+ Result = Result ? InsertBinop(Instruction::Mul, Result, P,
+ SCEV::FlagAnyWrap,
+ /*IsSafeToHoist*/ true)
+ : P;
+ }
+
+ I = E;
+ assert(Result && "Nothing was expanded?");
+ return Result;
+ };
+
+ while (I != OpsAndLoops.end()) {
+ if (!Prod) {
+ // This is the first operand. Just expand it.
+ Prod = ExpandOpBinPowN();
+ } else if (I->second->isAllOnesValue()) {
+ // Instead of doing a multiply by negative one, just do a negate.
+ Prod = InsertNoopCastOfTo(Prod, Ty);
+ Prod = InsertBinop(Instruction::Sub, Constant::getNullValue(Ty), Prod,
+ SCEV::FlagAnyWrap, /*IsSafeToHoist*/ true);
+ ++I;
+ } else {
+ // A simple mul.
+ Value *W = ExpandOpBinPowN();
+ Prod = InsertNoopCastOfTo(Prod, Ty);
+ // Canonicalize a constant to the RHS.
+ if (isa<Constant>(Prod)) std::swap(Prod, W);
+ const APInt *RHS;
+ if (match(W, m_Power2(RHS))) {
+ // Canonicalize Prod*(1<<C) to Prod<<C.
+ assert(!Ty->isVectorTy() && "vector types are not SCEVable");
+ auto NWFlags = S->getNoWrapFlags();
+ // clear nsw flag if shl will produce poison value.
+ if (RHS->logBase2() == RHS->getBitWidth() - 1)
+ NWFlags = ScalarEvolution::clearFlags(NWFlags, SCEV::FlagNSW);
+ Prod = InsertBinop(Instruction::Shl, Prod,
+ ConstantInt::get(Ty, RHS->logBase2()), NWFlags,
+ /*IsSafeToHoist*/ true);
+ } else {
+ Prod = InsertBinop(Instruction::Mul, Prod, W, S->getNoWrapFlags(),
+ /*IsSafeToHoist*/ true);
+ }
+ }
+ }
+
+ return Prod;
+}
+
+Value *SCEVExpander::visitUDivExpr(const SCEVUDivExpr *S) {
+ Type *Ty = SE.getEffectiveSCEVType(S->getType());
+
+ Value *LHS = expandCodeForImpl(S->getLHS(), Ty);
+ if (const SCEVConstant *SC = dyn_cast<SCEVConstant>(S->getRHS())) {
+ const APInt &RHS = SC->getAPInt();
+ if (RHS.isPowerOf2())
+ return InsertBinop(Instruction::LShr, LHS,
+ ConstantInt::get(Ty, RHS.logBase2()),
+ SCEV::FlagAnyWrap, /*IsSafeToHoist*/ true);
+ }
+
+ Value *RHS = expandCodeForImpl(S->getRHS(), Ty);
+ return InsertBinop(Instruction::UDiv, LHS, RHS, SCEV::FlagAnyWrap,
+ /*IsSafeToHoist*/ SE.isKnownNonZero(S->getRHS()));
+}
+
+/// Determine if this is a well-behaved chain of instructions leading back to
+/// the PHI. If so, it may be reused by expanded expressions.
+bool SCEVExpander::isNormalAddRecExprPHI(PHINode *PN, Instruction *IncV,
+ const Loop *L) {
+ if (IncV->getNumOperands() == 0 || isa<PHINode>(IncV) ||
+ (isa<CastInst>(IncV) && !isa<BitCastInst>(IncV)))
+ return false;
+ // If any of the operands don't dominate the insert position, bail.
+ // Addrec operands are always loop-invariant, so this can only happen
+ // if there are instructions which haven't been hoisted.
+ if (L == IVIncInsertLoop) {
+ for (Use &Op : llvm::drop_begin(IncV->operands()))
+ if (Instruction *OInst = dyn_cast<Instruction>(Op))
+ if (!SE.DT.dominates(OInst, IVIncInsertPos))
+ return false;
+ }
+ // Advance to the next instruction.
+ IncV = dyn_cast<Instruction>(IncV->getOperand(0));
+ if (!IncV)
+ return false;
+
+ if (IncV->mayHaveSideEffects())
+ return false;
+
+ if (IncV == PN)
+ return true;
+
+ return isNormalAddRecExprPHI(PN, IncV, L);
+}
+
+/// getIVIncOperand returns an induction variable increment's induction
+/// variable operand.
+///
+/// If allowScale is set, any type of GEP is allowed as long as the nonIV
+/// operands dominate InsertPos.
+///
+/// If allowScale is not set, ensure that a GEP increment conforms to one of the
+/// simple patterns generated by getAddRecExprPHILiterally and
+/// expandAddtoGEP. If the pattern isn't recognized, return NULL.
+Instruction *SCEVExpander::getIVIncOperand(Instruction *IncV,
+ Instruction *InsertPos,
+ bool allowScale) {
+ if (IncV == InsertPos)
+ return nullptr;
+
+ switch (IncV->getOpcode()) {
+ default:
+ return nullptr;
+ // Check for a simple Add/Sub or GEP of a loop invariant step.
+ case Instruction::Add:
+ case Instruction::Sub: {
+ Instruction *OInst = dyn_cast<Instruction>(IncV->getOperand(1));
+ if (!OInst || SE.DT.dominates(OInst, InsertPos))
+ return dyn_cast<Instruction>(IncV->getOperand(0));
+ return nullptr;
+ }
+ case Instruction::BitCast:
+ return dyn_cast<Instruction>(IncV->getOperand(0));
+ case Instruction::GetElementPtr:
+ for (Use &U : llvm::drop_begin(IncV->operands())) {
+ if (isa<Constant>(U))
+ continue;
+ if (Instruction *OInst = dyn_cast<Instruction>(U)) {
+ if (!SE.DT.dominates(OInst, InsertPos))
+ return nullptr;
+ }
+ if (allowScale) {
+ // allow any kind of GEP as long as it can be hoisted.
+ continue;
+ }
+ // This must be a pointer addition of constants (pretty), which is already
+ // handled, or some number of address-size elements (ugly). Ugly geps
+ // have 2 operands. i1* is used by the expander to represent an
+ // address-size element.
+ if (IncV->getNumOperands() != 2)
+ return nullptr;
+ unsigned AS = cast<PointerType>(IncV->getType())->getAddressSpace();
+ if (IncV->getType() != Type::getInt1PtrTy(SE.getContext(), AS)
+ && IncV->getType() != Type::getInt8PtrTy(SE.getContext(), AS))
+ return nullptr;
+ break;
+ }
+ return dyn_cast<Instruction>(IncV->getOperand(0));
+ }
+}
+
+/// If the insert point of the current builder or any of the builders on the
+/// stack of saved builders has 'I' as its insert point, update it to point to
+/// the instruction after 'I'. This is intended to be used when the instruction
+/// 'I' is being moved. If this fixup is not done and 'I' is moved to a
+/// different block, the inconsistent insert point (with a mismatched
+/// Instruction and Block) can lead to an instruction being inserted in a block
+/// other than its parent.
+void SCEVExpander::fixupInsertPoints(Instruction *I) {
+ BasicBlock::iterator It(*I);
+ BasicBlock::iterator NewInsertPt = std::next(It);
+ if (Builder.GetInsertPoint() == It)
+ Builder.SetInsertPoint(&*NewInsertPt);
+ for (auto *InsertPtGuard : InsertPointGuards)
+ if (InsertPtGuard->GetInsertPoint() == It)
+ InsertPtGuard->SetInsertPoint(NewInsertPt);
+}
+
+/// hoistStep - Attempt to hoist a simple IV increment above InsertPos to make
+/// it available to other uses in this loop. Recursively hoist any operands,
+/// until we reach a value that dominates InsertPos.
+bool SCEVExpander::hoistIVInc(Instruction *IncV, Instruction *InsertPos,
+ bool RecomputePoisonFlags) {
+ auto FixupPoisonFlags = [this](Instruction *I) {
+ // Drop flags that are potentially inferred from old context and infer flags
+ // in new context.
+ I->dropPoisonGeneratingFlags();
+ if (auto *OBO = dyn_cast<OverflowingBinaryOperator>(I))
+ if (auto Flags = SE.getStrengthenedNoWrapFlagsFromBinOp(OBO)) {
+ auto *BO = cast<BinaryOperator>(I);
+ BO->setHasNoUnsignedWrap(
+ ScalarEvolution::maskFlags(*Flags, SCEV::FlagNUW) == SCEV::FlagNUW);
+ BO->setHasNoSignedWrap(
+ ScalarEvolution::maskFlags(*Flags, SCEV::FlagNSW) == SCEV::FlagNSW);
+ }
+ };
+
+ if (SE.DT.dominates(IncV, InsertPos)) {
+ if (RecomputePoisonFlags)
+ FixupPoisonFlags(IncV);
+ return true;
+ }
+
+ // InsertPos must itself dominate IncV so that IncV's new position satisfies
+ // its existing users.
+ if (isa<PHINode>(InsertPos) ||
+ !SE.DT.dominates(InsertPos->getParent(), IncV->getParent()))
+ return false;
+
+ if (!SE.LI.movementPreservesLCSSAForm(IncV, InsertPos))
+ return false;
+
+ // Check that the chain of IV operands leading back to Phi can be hoisted.
+ SmallVector<Instruction*, 4> IVIncs;
+ for(;;) {
+ Instruction *Oper = getIVIncOperand(IncV, InsertPos, /*allowScale*/true);
+ if (!Oper)
+ return false;
+ // IncV is safe to hoist.
+ IVIncs.push_back(IncV);
+ IncV = Oper;
+ if (SE.DT.dominates(IncV, InsertPos))
+ break;
+ }
+ for (Instruction *I : llvm::reverse(IVIncs)) {
+ fixupInsertPoints(I);
+ I->moveBefore(InsertPos);
+ if (RecomputePoisonFlags)
+ FixupPoisonFlags(I);
+ }
+ return true;
+}
+
+/// Determine if this cyclic phi is in a form that would have been generated by
+/// LSR. We don't care if the phi was actually expanded in this pass, as long
+/// as it is in a low-cost form, for example, no implied multiplication. This
+/// should match any patterns generated by getAddRecExprPHILiterally and
+/// expandAddtoGEP.
+bool SCEVExpander::isExpandedAddRecExprPHI(PHINode *PN, Instruction *IncV,
+ const Loop *L) {
+ for(Instruction *IVOper = IncV;
+ (IVOper = getIVIncOperand(IVOper, L->getLoopPreheader()->getTerminator(),
+ /*allowScale=*/false));) {
+ if (IVOper == PN)
+ return true;
+ }
+ return false;
+}
+
+/// expandIVInc - Expand an IV increment at Builder's current InsertPos.
+/// Typically this is the LatchBlock terminator or IVIncInsertPos, but we may
+/// need to materialize IV increments elsewhere to handle difficult situations.
+Value *SCEVExpander::expandIVInc(PHINode *PN, Value *StepV, const Loop *L,
+ Type *ExpandTy, Type *IntTy,
+ bool useSubtract) {
+ Value *IncV;
+ // If the PHI is a pointer, use a GEP, otherwise use an add or sub.
+ if (ExpandTy->isPointerTy()) {
+ PointerType *GEPPtrTy = cast<PointerType>(ExpandTy);
+ // If the step isn't constant, don't use an implicitly scaled GEP, because
+ // that would require a multiply inside the loop.
+ if (!isa<ConstantInt>(StepV))
+ GEPPtrTy = PointerType::get(Type::getInt1Ty(SE.getContext()),
+ GEPPtrTy->getAddressSpace());
+ IncV = expandAddToGEP(SE.getSCEV(StepV), GEPPtrTy, IntTy, PN);
+ if (IncV->getType() != PN->getType())
+ IncV = Builder.CreateBitCast(IncV, PN->getType());
+ } else {
+ IncV = useSubtract ?
+ Builder.CreateSub(PN, StepV, Twine(IVName) + ".iv.next") :
+ Builder.CreateAdd(PN, StepV, Twine(IVName) + ".iv.next");
+ }
+ return IncV;
+}
+
+/// Check whether we can cheaply express the requested SCEV in terms of
+/// the available PHI SCEV by truncation and/or inversion of the step.
+static bool canBeCheaplyTransformed(ScalarEvolution &SE,
+ const SCEVAddRecExpr *Phi,
+ const SCEVAddRecExpr *Requested,
+ bool &InvertStep) {
+ // We can't transform to match a pointer PHI.
+ if (Phi->getType()->isPointerTy())
+ return false;
+
+ Type *PhiTy = SE.getEffectiveSCEVType(Phi->getType());
+ Type *RequestedTy = SE.getEffectiveSCEVType(Requested->getType());
+
+ if (RequestedTy->getIntegerBitWidth() > PhiTy->getIntegerBitWidth())
+ return false;
+
+ // Try truncate it if necessary.
+ Phi = dyn_cast<SCEVAddRecExpr>(SE.getTruncateOrNoop(Phi, RequestedTy));
+ if (!Phi)
+ return false;
+
+ // Check whether truncation will help.
+ if (Phi == Requested) {
+ InvertStep = false;
+ return true;
+ }
+
+ // Check whether inverting will help: {R,+,-1} == R - {0,+,1}.
+ if (SE.getMinusSCEV(Requested->getStart(), Requested) == Phi) {
+ InvertStep = true;
+ return true;
+ }
+
+ return false;
+}
+
+static bool IsIncrementNSW(ScalarEvolution &SE, const SCEVAddRecExpr *AR) {
+ if (!isa<IntegerType>(AR->getType()))
+ return false;
+
+ unsigned BitWidth = cast<IntegerType>(AR->getType())->getBitWidth();
+ Type *WideTy = IntegerType::get(AR->getType()->getContext(), BitWidth * 2);
+ const SCEV *Step = AR->getStepRecurrence(SE);
+ const SCEV *OpAfterExtend = SE.getAddExpr(SE.getSignExtendExpr(Step, WideTy),
+ SE.getSignExtendExpr(AR, WideTy));
+ const SCEV *ExtendAfterOp =
+ SE.getSignExtendExpr(SE.getAddExpr(AR, Step), WideTy);
+ return ExtendAfterOp == OpAfterExtend;
+}
+
+static bool IsIncrementNUW(ScalarEvolution &SE, const SCEVAddRecExpr *AR) {
+ if (!isa<IntegerType>(AR->getType()))
+ return false;
+
+ unsigned BitWidth = cast<IntegerType>(AR->getType())->getBitWidth();
+ Type *WideTy = IntegerType::get(AR->getType()->getContext(), BitWidth * 2);
+ const SCEV *Step = AR->getStepRecurrence(SE);
+ const SCEV *OpAfterExtend = SE.getAddExpr(SE.getZeroExtendExpr(Step, WideTy),
+ SE.getZeroExtendExpr(AR, WideTy));
+ const SCEV *ExtendAfterOp =
+ SE.getZeroExtendExpr(SE.getAddExpr(AR, Step), WideTy);
+ return ExtendAfterOp == OpAfterExtend;
+}
+
+/// getAddRecExprPHILiterally - Helper for expandAddRecExprLiterally. Expand
+/// the base addrec, which is the addrec without any non-loop-dominating
+/// values, and return the PHI.
+PHINode *
+SCEVExpander::getAddRecExprPHILiterally(const SCEVAddRecExpr *Normalized,
+ const Loop *L,
+ Type *ExpandTy,
+ Type *IntTy,
+ Type *&TruncTy,
+ bool &InvertStep) {
+ assert((!IVIncInsertLoop||IVIncInsertPos) && "Uninitialized insert position");
+
+ // Reuse a previously-inserted PHI, if present.
+ BasicBlock *LatchBlock = L->getLoopLatch();
+ if (LatchBlock) {
+ PHINode *AddRecPhiMatch = nullptr;
+ Instruction *IncV = nullptr;
+ TruncTy = nullptr;
+ InvertStep = false;
+
+ // Only try partially matching scevs that need truncation and/or
+ // step-inversion if we know this loop is outside the current loop.
+ bool TryNonMatchingSCEV =
+ IVIncInsertLoop &&
+ SE.DT.properlyDominates(LatchBlock, IVIncInsertLoop->getHeader());
+
+ for (PHINode &PN : L->getHeader()->phis()) {
+ if (!SE.isSCEVable(PN.getType()))
+ continue;
+
+ // We should not look for a incomplete PHI. Getting SCEV for a incomplete
+ // PHI has no meaning at all.
+ if (!PN.isComplete()) {
+ SCEV_DEBUG_WITH_TYPE(
+ DebugType, dbgs() << "One incomplete PHI is found: " << PN << "\n");
+ continue;
+ }
+
+ const SCEVAddRecExpr *PhiSCEV = dyn_cast<SCEVAddRecExpr>(SE.getSCEV(&PN));
+ if (!PhiSCEV)
+ continue;
+
+ bool IsMatchingSCEV = PhiSCEV == Normalized;
+ // We only handle truncation and inversion of phi recurrences for the
+ // expanded expression if the expanded expression's loop dominates the
+ // loop we insert to. Check now, so we can bail out early.
+ if (!IsMatchingSCEV && !TryNonMatchingSCEV)
+ continue;
+
+ // TODO: this possibly can be reworked to avoid this cast at all.
+ Instruction *TempIncV =
+ dyn_cast<Instruction>(PN.getIncomingValueForBlock(LatchBlock));
+ if (!TempIncV)
+ continue;
+
+ // Check whether we can reuse this PHI node.
+ if (LSRMode) {
+ if (!isExpandedAddRecExprPHI(&PN, TempIncV, L))
+ continue;
+ } else {
+ if (!isNormalAddRecExprPHI(&PN, TempIncV, L))
+ continue;
+ }
+
+ // Stop if we have found an exact match SCEV.
+ if (IsMatchingSCEV) {
+ IncV = TempIncV;
+ TruncTy = nullptr;
+ InvertStep = false;
+ AddRecPhiMatch = &PN;
+ break;
+ }
+
+ // Try whether the phi can be translated into the requested form
+ // (truncated and/or offset by a constant).
+ if ((!TruncTy || InvertStep) &&
+ canBeCheaplyTransformed(SE, PhiSCEV, Normalized, InvertStep)) {
+ // Record the phi node. But don't stop we might find an exact match
+ // later.
+ AddRecPhiMatch = &PN;
+ IncV = TempIncV;
+ TruncTy = SE.getEffectiveSCEVType(Normalized->getType());
+ }
+ }
+
+ if (AddRecPhiMatch) {
+ // Ok, the add recurrence looks usable.
+ // Remember this PHI, even in post-inc mode.
+ InsertedValues.insert(AddRecPhiMatch);
+ // Remember the increment.
+ rememberInstruction(IncV);
+ // Those values were not actually inserted but re-used.
+ ReusedValues.insert(AddRecPhiMatch);
+ ReusedValues.insert(IncV);
+ return AddRecPhiMatch;
+ }
+ }
+
+ // Save the original insertion point so we can restore it when we're done.
+ SCEVInsertPointGuard Guard(Builder, this);
+
+ // Another AddRec may need to be recursively expanded below. For example, if
+ // this AddRec is quadratic, the StepV may itself be an AddRec in this
+ // loop. Remove this loop from the PostIncLoops set before expanding such
+ // AddRecs. Otherwise, we cannot find a valid position for the step
+ // (i.e. StepV can never dominate its loop header). Ideally, we could do
+ // SavedIncLoops.swap(PostIncLoops), but we generally have a single element,
+ // so it's not worth implementing SmallPtrSet::swap.
+ PostIncLoopSet SavedPostIncLoops = PostIncLoops;
+ PostIncLoops.clear();
+
+ // Expand code for the start value into the loop preheader.
+ assert(L->getLoopPreheader() &&
+ "Can't expand add recurrences without a loop preheader!");
+ Value *StartV =
+ expandCodeForImpl(Normalized->getStart(), ExpandTy,
+ L->getLoopPreheader()->getTerminator());
+
+ // StartV must have been be inserted into L's preheader to dominate the new
+ // phi.
+ assert(!isa<Instruction>(StartV) ||
+ SE.DT.properlyDominates(cast<Instruction>(StartV)->getParent(),
+ L->getHeader()));
+
+ // Expand code for the step value. Do this before creating the PHI so that PHI
+ // reuse code doesn't see an incomplete PHI.
+ const SCEV *Step = Normalized->getStepRecurrence(SE);
+ // If the stride is negative, insert a sub instead of an add for the increment
+ // (unless it's a constant, because subtracts of constants are canonicalized
+ // to adds).
+ bool useSubtract = !ExpandTy->isPointerTy() && Step->isNonConstantNegative();
+ if (useSubtract)
+ Step = SE.getNegativeSCEV(Step);
+ // Expand the step somewhere that dominates the loop header.
+ Value *StepV = expandCodeForImpl(
+ Step, IntTy, &*L->getHeader()->getFirstInsertionPt());
+
+ // The no-wrap behavior proved by IsIncrement(NUW|NSW) is only applicable if
+ // we actually do emit an addition. It does not apply if we emit a
+ // subtraction.
+ bool IncrementIsNUW = !useSubtract && IsIncrementNUW(SE, Normalized);
+ bool IncrementIsNSW = !useSubtract && IsIncrementNSW(SE, Normalized);
+
+ // Create the PHI.
+ BasicBlock *Header = L->getHeader();
+ Builder.SetInsertPoint(Header, Header->begin());
+ pred_iterator HPB = pred_begin(Header), HPE = pred_end(Header);
+ PHINode *PN = Builder.CreatePHI(ExpandTy, std::distance(HPB, HPE),
+ Twine(IVName) + ".iv");
+
+ // Create the step instructions and populate the PHI.
+ for (pred_iterator HPI = HPB; HPI != HPE; ++HPI) {
+ BasicBlock *Pred = *HPI;
+
+ // Add a start value.
+ if (!L->contains(Pred)) {
+ PN->addIncoming(StartV, Pred);
+ continue;
+ }
+
+ // Create a step value and add it to the PHI.
+ // If IVIncInsertLoop is non-null and equal to the addrec's loop, insert the
+ // instructions at IVIncInsertPos.
+ Instruction *InsertPos = L == IVIncInsertLoop ?
+ IVIncInsertPos : Pred->getTerminator();
+ Builder.SetInsertPoint(InsertPos);
+ Value *IncV = expandIVInc(PN, StepV, L, ExpandTy, IntTy, useSubtract);
+
+ if (isa<OverflowingBinaryOperator>(IncV)) {
+ if (IncrementIsNUW)
+ cast<BinaryOperator>(IncV)->setHasNoUnsignedWrap();
+ if (IncrementIsNSW)
+ cast<BinaryOperator>(IncV)->setHasNoSignedWrap();
+ }
+ PN->addIncoming(IncV, Pred);
+ }
+
+ // After expanding subexpressions, restore the PostIncLoops set so the caller
+ // can ensure that IVIncrement dominates the current uses.
+ PostIncLoops = SavedPostIncLoops;
+
+ // Remember this PHI, even in post-inc mode. LSR SCEV-based salvaging is most
+ // effective when we are able to use an IV inserted here, so record it.
+ InsertedValues.insert(PN);
+ InsertedIVs.push_back(PN);
+ return PN;
+}
+
+Value *SCEVExpander::expandAddRecExprLiterally(const SCEVAddRecExpr *S) {
+ Type *STy = S->getType();
+ Type *IntTy = SE.getEffectiveSCEVType(STy);
+ const Loop *L = S->getLoop();
+
+ // Determine a normalized form of this expression, which is the expression
+ // before any post-inc adjustment is made.
+ const SCEVAddRecExpr *Normalized = S;
+ if (PostIncLoops.count(L)) {
+ PostIncLoopSet Loops;
+ Loops.insert(L);
+ Normalized = cast<SCEVAddRecExpr>(normalizeForPostIncUse(S, Loops, SE));
+ }
+
+ // Strip off any non-loop-dominating component from the addrec start.
+ const SCEV *Start = Normalized->getStart();
+ const SCEV *PostLoopOffset = nullptr;
+ if (!SE.properlyDominates(Start, L->getHeader())) {
+ PostLoopOffset = Start;
+ Start = SE.getConstant(Normalized->getType(), 0);
+ Normalized = cast<SCEVAddRecExpr>(
+ SE.getAddRecExpr(Start, Normalized->getStepRecurrence(SE),
+ Normalized->getLoop(),
+ Normalized->getNoWrapFlags(SCEV::FlagNW)));
+ }
+
+ // Strip off any non-loop-dominating component from the addrec step.
+ const SCEV *Step = Normalized->getStepRecurrence(SE);
+ const SCEV *PostLoopScale = nullptr;
+ if (!SE.dominates(Step, L->getHeader())) {
+ PostLoopScale = Step;
+ Step = SE.getConstant(Normalized->getType(), 1);
+ if (!Start->isZero()) {
+ // The normalization below assumes that Start is constant zero, so if
+ // it isn't re-associate Start to PostLoopOffset.
+ assert(!PostLoopOffset && "Start not-null but PostLoopOffset set?");
+ PostLoopOffset = Start;
+ Start = SE.getConstant(Normalized->getType(), 0);
+ }
+ Normalized =
+ cast<SCEVAddRecExpr>(SE.getAddRecExpr(
+ Start, Step, Normalized->getLoop(),
+ Normalized->getNoWrapFlags(SCEV::FlagNW)));
+ }
+
+ // Expand the core addrec. If we need post-loop scaling, force it to
+ // expand to an integer type to avoid the need for additional casting.
+ Type *ExpandTy = PostLoopScale ? IntTy : STy;
+ // We can't use a pointer type for the addrec if the pointer type is
+ // non-integral.
+ Type *AddRecPHIExpandTy =
+ DL.isNonIntegralPointerType(STy) ? Normalized->getType() : ExpandTy;
+
+ // In some cases, we decide to reuse an existing phi node but need to truncate
+ // it and/or invert the step.
+ Type *TruncTy = nullptr;
+ bool InvertStep = false;
+ PHINode *PN = getAddRecExprPHILiterally(Normalized, L, AddRecPHIExpandTy,
+ IntTy, TruncTy, InvertStep);
+
+ // Accommodate post-inc mode, if necessary.
+ Value *Result;
+ if (!PostIncLoops.count(L))
+ Result = PN;
+ else {
+ // In PostInc mode, use the post-incremented value.
+ BasicBlock *LatchBlock = L->getLoopLatch();
+ assert(LatchBlock && "PostInc mode requires a unique loop latch!");
+ Result = PN->getIncomingValueForBlock(LatchBlock);
+
+ // We might be introducing a new use of the post-inc IV that is not poison
+ // safe, in which case we should drop poison generating flags. Only keep
+ // those flags for which SCEV has proven that they always hold.
+ if (isa<OverflowingBinaryOperator>(Result)) {
+ auto *I = cast<Instruction>(Result);
+ if (!S->hasNoUnsignedWrap())
+ I->setHasNoUnsignedWrap(false);
+ if (!S->hasNoSignedWrap())
+ I->setHasNoSignedWrap(false);
+ }
+
+ // For an expansion to use the postinc form, the client must call
+ // expandCodeFor with an InsertPoint that is either outside the PostIncLoop
+ // or dominated by IVIncInsertPos.
+ if (isa<Instruction>(Result) &&
+ !SE.DT.dominates(cast<Instruction>(Result),
+ &*Builder.GetInsertPoint())) {
+ // The induction variable's postinc expansion does not dominate this use.
+ // IVUsers tries to prevent this case, so it is rare. However, it can
+ // happen when an IVUser outside the loop is not dominated by the latch
+ // block. Adjusting IVIncInsertPos before expansion begins cannot handle
+ // all cases. Consider a phi outside whose operand is replaced during
+ // expansion with the value of the postinc user. Without fundamentally
+ // changing the way postinc users are tracked, the only remedy is
+ // inserting an extra IV increment. StepV might fold into PostLoopOffset,
+ // but hopefully expandCodeFor handles that.
+ bool useSubtract =
+ !ExpandTy->isPointerTy() && Step->isNonConstantNegative();
+ if (useSubtract)
+ Step = SE.getNegativeSCEV(Step);
+ Value *StepV;
+ {
+ // Expand the step somewhere that dominates the loop header.
+ SCEVInsertPointGuard Guard(Builder, this);
+ StepV = expandCodeForImpl(
+ Step, IntTy, &*L->getHeader()->getFirstInsertionPt());
+ }
+ Result = expandIVInc(PN, StepV, L, ExpandTy, IntTy, useSubtract);
+ }
+ }
+
+ // We have decided to reuse an induction variable of a dominating loop. Apply
+ // truncation and/or inversion of the step.
+ if (TruncTy) {
+ Type *ResTy = Result->getType();
+ // Normalize the result type.
+ if (ResTy != SE.getEffectiveSCEVType(ResTy))
+ Result = InsertNoopCastOfTo(Result, SE.getEffectiveSCEVType(ResTy));
+ // Truncate the result.
+ if (TruncTy != Result->getType())
+ Result = Builder.CreateTrunc(Result, TruncTy);
+
+ // Invert the result.
+ if (InvertStep)
+ Result = Builder.CreateSub(
+ expandCodeForImpl(Normalized->getStart(), TruncTy), Result);
+ }
+
+ // Re-apply any non-loop-dominating scale.
+ if (PostLoopScale) {
+ assert(S->isAffine() && "Can't linearly scale non-affine recurrences.");
+ Result = InsertNoopCastOfTo(Result, IntTy);
+ Result = Builder.CreateMul(Result,
+ expandCodeForImpl(PostLoopScale, IntTy));
+ }
+
+ // Re-apply any non-loop-dominating offset.
+ if (PostLoopOffset) {
+ if (PointerType *PTy = dyn_cast<PointerType>(ExpandTy)) {
+ if (Result->getType()->isIntegerTy()) {
+ Value *Base = expandCodeForImpl(PostLoopOffset, ExpandTy);
+ Result = expandAddToGEP(SE.getUnknown(Result), PTy, IntTy, Base);
+ } else {
+ Result = expandAddToGEP(PostLoopOffset, PTy, IntTy, Result);
+ }
+ } else {
+ Result = InsertNoopCastOfTo(Result, IntTy);
+ Result = Builder.CreateAdd(
+ Result, expandCodeForImpl(PostLoopOffset, IntTy));
+ }
+ }
+
+ return Result;
+}
+
+Value *SCEVExpander::visitAddRecExpr(const SCEVAddRecExpr *S) {
+ // In canonical mode we compute the addrec as an expression of a canonical IV
+ // using evaluateAtIteration and expand the resulting SCEV expression. This
+ // way we avoid introducing new IVs to carry on the computation of the addrec
+ // throughout the loop.
+ //
+ // For nested addrecs evaluateAtIteration might need a canonical IV of a
+ // type wider than the addrec itself. Emitting a canonical IV of the
+ // proper type might produce non-legal types, for example expanding an i64
+ // {0,+,2,+,1} addrec would need an i65 canonical IV. To avoid this just fall
+ // back to non-canonical mode for nested addrecs.
+ if (!CanonicalMode || (S->getNumOperands() > 2))
+ return expandAddRecExprLiterally(S);
+
+ Type *Ty = SE.getEffectiveSCEVType(S->getType());
+ const Loop *L = S->getLoop();
+
+ // First check for an existing canonical IV in a suitable type.
+ PHINode *CanonicalIV = nullptr;
+ if (PHINode *PN = L->getCanonicalInductionVariable())
+ if (SE.getTypeSizeInBits(PN->getType()) >= SE.getTypeSizeInBits(Ty))
+ CanonicalIV = PN;
+
+ // Rewrite an AddRec in terms of the canonical induction variable, if
+ // its type is more narrow.
+ if (CanonicalIV &&
+ SE.getTypeSizeInBits(CanonicalIV->getType()) > SE.getTypeSizeInBits(Ty) &&
+ !S->getType()->isPointerTy()) {
+ SmallVector<const SCEV *, 4> NewOps(S->getNumOperands());
+ for (unsigned i = 0, e = S->getNumOperands(); i != e; ++i)
+ NewOps[i] = SE.getAnyExtendExpr(S->getOperand(i), CanonicalIV->getType());
+ Value *V = expand(SE.getAddRecExpr(NewOps, S->getLoop(),
+ S->getNoWrapFlags(SCEV::FlagNW)));
+ BasicBlock::iterator NewInsertPt =
+ findInsertPointAfter(cast<Instruction>(V), &*Builder.GetInsertPoint());
+ V = expandCodeForImpl(SE.getTruncateExpr(SE.getUnknown(V), Ty), nullptr,
+ &*NewInsertPt);
+ return V;
+ }
+
+ // {X,+,F} --> X + {0,+,F}
+ if (!S->getStart()->isZero()) {
+ if (PointerType *PTy = dyn_cast<PointerType>(S->getType())) {
+ Value *StartV = expand(SE.getPointerBase(S));
+ assert(StartV->getType() == PTy && "Pointer type mismatch for GEP!");
+ return expandAddToGEP(SE.removePointerBase(S), PTy, Ty, StartV);
+ }
+
+ SmallVector<const SCEV *, 4> NewOps(S->operands());
+ NewOps[0] = SE.getConstant(Ty, 0);
+ const SCEV *Rest = SE.getAddRecExpr(NewOps, L,
+ S->getNoWrapFlags(SCEV::FlagNW));
+
+ // Just do a normal add. Pre-expand the operands to suppress folding.
+ //
+ // The LHS and RHS values are factored out of the expand call to make the
+ // output independent of the argument evaluation order.
+ const SCEV *AddExprLHS = SE.getUnknown(expand(S->getStart()));
+ const SCEV *AddExprRHS = SE.getUnknown(expand(Rest));
+ return expand(SE.getAddExpr(AddExprLHS, AddExprRHS));
+ }
+
+ // If we don't yet have a canonical IV, create one.
+ if (!CanonicalIV) {
+ // Create and insert the PHI node for the induction variable in the
+ // specified loop.
+ BasicBlock *Header = L->getHeader();
+ pred_iterator HPB = pred_begin(Header), HPE = pred_end(Header);
+ CanonicalIV = PHINode::Create(Ty, std::distance(HPB, HPE), "indvar",
+ &Header->front());
+ rememberInstruction(CanonicalIV);
+
+ SmallSet<BasicBlock *, 4> PredSeen;
+ Constant *One = ConstantInt::get(Ty, 1);
+ for (pred_iterator HPI = HPB; HPI != HPE; ++HPI) {
+ BasicBlock *HP = *HPI;
+ if (!PredSeen.insert(HP).second) {
+ // There must be an incoming value for each predecessor, even the
+ // duplicates!
+ CanonicalIV->addIncoming(CanonicalIV->getIncomingValueForBlock(HP), HP);
+ continue;
+ }
+
+ if (L->contains(HP)) {
+ // Insert a unit add instruction right before the terminator
+ // corresponding to the back-edge.
+ Instruction *Add = BinaryOperator::CreateAdd(CanonicalIV, One,
+ "indvar.next",
+ HP->getTerminator());
+ Add->setDebugLoc(HP->getTerminator()->getDebugLoc());
+ rememberInstruction(Add);
+ CanonicalIV->addIncoming(Add, HP);
+ } else {
+ CanonicalIV->addIncoming(Constant::getNullValue(Ty), HP);
+ }
+ }
+ }
+
+ // {0,+,1} --> Insert a canonical induction variable into the loop!
+ if (S->isAffine() && S->getOperand(1)->isOne()) {
+ assert(Ty == SE.getEffectiveSCEVType(CanonicalIV->getType()) &&
+ "IVs with types different from the canonical IV should "
+ "already have been handled!");
+ return CanonicalIV;
+ }
+
+ // {0,+,F} --> {0,+,1} * F
+
+ // If this is a simple linear addrec, emit it now as a special case.
+ if (S->isAffine()) // {0,+,F} --> i*F
+ return
+ expand(SE.getTruncateOrNoop(
+ SE.getMulExpr(SE.getUnknown(CanonicalIV),
+ SE.getNoopOrAnyExtend(S->getOperand(1),
+ CanonicalIV->getType())),
+ Ty));
+
+ // If this is a chain of recurrences, turn it into a closed form, using the
+ // folders, then expandCodeFor the closed form. This allows the folders to
+ // simplify the expression without having to build a bunch of special code
+ // into this folder.
+ const SCEV *IH = SE.getUnknown(CanonicalIV); // Get I as a "symbolic" SCEV.
+
+ // Promote S up to the canonical IV type, if the cast is foldable.
+ const SCEV *NewS = S;
+ const SCEV *Ext = SE.getNoopOrAnyExtend(S, CanonicalIV->getType());
+ if (isa<SCEVAddRecExpr>(Ext))
+ NewS = Ext;
+
+ const SCEV *V = cast<SCEVAddRecExpr>(NewS)->evaluateAtIteration(IH, SE);
+
+ // Truncate the result down to the original type, if needed.
+ const SCEV *T = SE.getTruncateOrNoop(V, Ty);
+ return expand(T);
+}
+
+Value *SCEVExpander::visitPtrToIntExpr(const SCEVPtrToIntExpr *S) {
+ Value *V =
+ expandCodeForImpl(S->getOperand(), S->getOperand()->getType());
+ return ReuseOrCreateCast(V, S->getType(), CastInst::PtrToInt,
+ GetOptimalInsertionPointForCastOf(V));
+}
+
+Value *SCEVExpander::visitTruncateExpr(const SCEVTruncateExpr *S) {
+ Type *Ty = SE.getEffectiveSCEVType(S->getType());
+ Value *V = expandCodeForImpl(
+ S->getOperand(), SE.getEffectiveSCEVType(S->getOperand()->getType())
+ );
+ return Builder.CreateTrunc(V, Ty);
+}
+
+Value *SCEVExpander::visitZeroExtendExpr(const SCEVZeroExtendExpr *S) {
+ Type *Ty = SE.getEffectiveSCEVType(S->getType());
+ Value *V = expandCodeForImpl(
+ S->getOperand(), SE.getEffectiveSCEVType(S->getOperand()->getType())
+ );
+ return Builder.CreateZExt(V, Ty);
+}
+
+Value *SCEVExpander::visitSignExtendExpr(const SCEVSignExtendExpr *S) {
+ Type *Ty = SE.getEffectiveSCEVType(S->getType());
+ Value *V = expandCodeForImpl(
+ S->getOperand(), SE.getEffectiveSCEVType(S->getOperand()->getType())
+ );
+ return Builder.CreateSExt(V, Ty);
+}
+
+Value *SCEVExpander::expandMinMaxExpr(const SCEVNAryExpr *S,
+ Intrinsic::ID IntrinID, Twine Name,
+ bool IsSequential) {
+ Value *LHS = expand(S->getOperand(S->getNumOperands() - 1));
+ Type *Ty = LHS->getType();
+ if (IsSequential)
+ LHS = Builder.CreateFreeze(LHS);
+ for (int i = S->getNumOperands() - 2; i >= 0; --i) {
+ Value *RHS = expandCodeForImpl(S->getOperand(i), Ty);
+ if (IsSequential && i != 0)
+ RHS = Builder.CreateFreeze(RHS);
+ Value *Sel;
+ if (Ty->isIntegerTy())
+ Sel = Builder.CreateIntrinsic(IntrinID, {Ty}, {LHS, RHS},
+ /*FMFSource=*/nullptr, Name);
+ else {
+ Value *ICmp =
+ Builder.CreateICmp(MinMaxIntrinsic::getPredicate(IntrinID), LHS, RHS);
+ Sel = Builder.CreateSelect(ICmp, LHS, RHS, Name);
+ }
+ LHS = Sel;
+ }
+ return LHS;
+}
+
+Value *SCEVExpander::visitSMaxExpr(const SCEVSMaxExpr *S) {
+ return expandMinMaxExpr(S, Intrinsic::smax, "smax");
+}
+
+Value *SCEVExpander::visitUMaxExpr(const SCEVUMaxExpr *S) {
+ return expandMinMaxExpr(S, Intrinsic::umax, "umax");
+}
+
+Value *SCEVExpander::visitSMinExpr(const SCEVSMinExpr *S) {
+ return expandMinMaxExpr(S, Intrinsic::smin, "smin");
+}
+
+Value *SCEVExpander::visitUMinExpr(const SCEVUMinExpr *S) {
+ return expandMinMaxExpr(S, Intrinsic::umin, "umin");
+}
+
+Value *SCEVExpander::visitSequentialUMinExpr(const SCEVSequentialUMinExpr *S) {
+ return expandMinMaxExpr(S, Intrinsic::umin, "umin", /*IsSequential*/true);
+}
+
+Value *SCEVExpander::expandCodeForImpl(const SCEV *SH, Type *Ty,
+ Instruction *IP) {
+ setInsertPoint(IP);
+ Value *V = expandCodeForImpl(SH, Ty);
+ return V;
+}
+
+Value *SCEVExpander::expandCodeForImpl(const SCEV *SH, Type *Ty) {
+ // Expand the code for this SCEV.
+ Value *V = expand(SH);
+
+ if (Ty) {
+ assert(SE.getTypeSizeInBits(Ty) == SE.getTypeSizeInBits(SH->getType()) &&
+ "non-trivial casts should be done with the SCEVs directly!");
+ V = InsertNoopCastOfTo(V, Ty);
+ }
+ return V;
+}
+
+Value *SCEVExpander::FindValueInExprValueMap(const SCEV *S,
+ const Instruction *InsertPt) {
+ // If the expansion is not in CanonicalMode, and the SCEV contains any
+ // sub scAddRecExpr type SCEV, it is required to expand the SCEV literally.
+ if (!CanonicalMode && SE.containsAddRecurrence(S))
+ return nullptr;
+
+ // If S is a constant, it may be worse to reuse an existing Value.
+ if (isa<SCEVConstant>(S))
+ return nullptr;
+
+ // Choose a Value from the set which dominates the InsertPt.
+ // InsertPt should be inside the Value's parent loop so as not to break
+ // the LCSSA form.
+ for (Value *V : SE.getSCEVValues(S)) {
+ Instruction *EntInst = dyn_cast<Instruction>(V);
+ if (!EntInst)
+ continue;
+
+ assert(EntInst->getFunction() == InsertPt->getFunction());
+ if (S->getType() == V->getType() &&
+ SE.DT.dominates(EntInst, InsertPt) &&
+ (SE.LI.getLoopFor(EntInst->getParent()) == nullptr ||
+ SE.LI.getLoopFor(EntInst->getParent())->contains(InsertPt)))
+ return V;
+ }
+ return nullptr;
+}
+
+// The expansion of SCEV will either reuse a previous Value in ExprValueMap,
+// or expand the SCEV literally. Specifically, if the expansion is in LSRMode,
+// and the SCEV contains any sub scAddRecExpr type SCEV, it will be expanded
+// literally, to prevent LSR's transformed SCEV from being reverted. Otherwise,
+// the expansion will try to reuse Value from ExprValueMap, and only when it
+// fails, expand the SCEV literally.
+Value *SCEVExpander::expand(const SCEV *S) {
+ // Compute an insertion point for this SCEV object. Hoist the instructions
+ // as far out in the loop nest as possible.
+ Instruction *InsertPt = &*Builder.GetInsertPoint();
+
+ // We can move insertion point only if there is no div or rem operations
+ // otherwise we are risky to move it over the check for zero denominator.
+ auto SafeToHoist = [](const SCEV *S) {
+ return !SCEVExprContains(S, [](const SCEV *S) {
+ if (const auto *D = dyn_cast<SCEVUDivExpr>(S)) {
+ if (const auto *SC = dyn_cast<SCEVConstant>(D->getRHS()))
+ // Division by non-zero constants can be hoisted.
+ return SC->getValue()->isZero();
+ // All other divisions should not be moved as they may be
+ // divisions by zero and should be kept within the
+ // conditions of the surrounding loops that guard their
+ // execution (see PR35406).
+ return true;
+ }
+ return false;
+ });
+ };
+ if (SafeToHoist(S)) {
+ for (Loop *L = SE.LI.getLoopFor(Builder.GetInsertBlock());;
+ L = L->getParentLoop()) {
+ if (SE.isLoopInvariant(S, L)) {
+ if (!L) break;
+ if (BasicBlock *Preheader = L->getLoopPreheader())
+ InsertPt = Preheader->getTerminator();
+ else
+ // LSR sets the insertion point for AddRec start/step values to the
+ // block start to simplify value reuse, even though it's an invalid
+ // position. SCEVExpander must correct for this in all cases.
+ InsertPt = &*L->getHeader()->getFirstInsertionPt();
+ } else {
+ // If the SCEV is computable at this level, insert it into the header
+ // after the PHIs (and after any other instructions that we've inserted
+ // there) so that it is guaranteed to dominate any user inside the loop.
+ if (L && SE.hasComputableLoopEvolution(S, L) && !PostIncLoops.count(L))
+ InsertPt = &*L->getHeader()->getFirstInsertionPt();
+
+ while (InsertPt->getIterator() != Builder.GetInsertPoint() &&
+ (isInsertedInstruction(InsertPt) ||
+ isa<DbgInfoIntrinsic>(InsertPt))) {
+ InsertPt = &*std::next(InsertPt->getIterator());
+ }
+ break;
+ }
+ }
+ }
+
+ // Check to see if we already expanded this here.
+ auto I = InsertedExpressions.find(std::make_pair(S, InsertPt));
+ if (I != InsertedExpressions.end())
+ return I->second;
+
+ SCEVInsertPointGuard Guard(Builder, this);
+ Builder.SetInsertPoint(InsertPt);
+
+ // Expand the expression into instructions.
+ Value *V = FindValueInExprValueMap(S, InsertPt);
+ if (!V) {
+ V = visit(S);
+ V = fixupLCSSAFormFor(V);
+ } else {
+ // If we're reusing an existing instruction, we are effectively CSEing two
+ // copies of the instruction (with potentially different flags). As such,
+ // we need to drop any poison generating flags unless we can prove that
+ // said flags must be valid for all new users.
+ if (auto *I = dyn_cast<Instruction>(V))
+ if (I->hasPoisonGeneratingFlags() && !programUndefinedIfPoison(I))
+ I->dropPoisonGeneratingFlags();
+ }
+ // Remember the expanded value for this SCEV at this location.
+ //
+ // This is independent of PostIncLoops. The mapped value simply materializes
+ // the expression at this insertion point. If the mapped value happened to be
+ // a postinc expansion, it could be reused by a non-postinc user, but only if
+ // its insertion point was already at the head of the loop.
+ InsertedExpressions[std::make_pair(S, InsertPt)] = V;
+ return V;
+}
+
+void SCEVExpander::rememberInstruction(Value *I) {
+ auto DoInsert = [this](Value *V) {
+ if (!PostIncLoops.empty())
+ InsertedPostIncValues.insert(V);
+ else
+ InsertedValues.insert(V);
+ };
+ DoInsert(I);
+}
+
+/// replaceCongruentIVs - Check for congruent phis in this loop header and
+/// replace them with their most canonical representative. Return the number of
+/// phis eliminated.
+///
+/// This does not depend on any SCEVExpander state but should be used in
+/// the same context that SCEVExpander is used.
+unsigned
+SCEVExpander::replaceCongruentIVs(Loop *L, const DominatorTree *DT,
+ SmallVectorImpl<WeakTrackingVH> &DeadInsts,
+ const TargetTransformInfo *TTI) {
+ // Find integer phis in order of increasing width.
+ SmallVector<PHINode*, 8> Phis;
+ for (PHINode &PN : L->getHeader()->phis())
+ Phis.push_back(&PN);
+
+ if (TTI)
+ // Use stable_sort to preserve order of equivalent PHIs, so the order
+ // of the sorted Phis is the same from run to run on the same loop.
+ llvm::stable_sort(Phis, [](Value *LHS, Value *RHS) {
+ // Put pointers at the back and make sure pointer < pointer = false.
+ if (!LHS->getType()->isIntegerTy() || !RHS->getType()->isIntegerTy())
+ return RHS->getType()->isIntegerTy() && !LHS->getType()->isIntegerTy();
+ return RHS->getType()->getPrimitiveSizeInBits().getFixedValue() <
+ LHS->getType()->getPrimitiveSizeInBits().getFixedValue();
+ });
+
+ unsigned NumElim = 0;
+ DenseMap<const SCEV *, PHINode *> ExprToIVMap;
+ // Process phis from wide to narrow. Map wide phis to their truncation
+ // so narrow phis can reuse them.
+ for (PHINode *Phi : Phis) {
+ auto SimplifyPHINode = [&](PHINode *PN) -> Value * {
+ if (Value *V = simplifyInstruction(PN, {DL, &SE.TLI, &SE.DT, &SE.AC}))
+ return V;
+ if (!SE.isSCEVable(PN->getType()))
+ return nullptr;
+ auto *Const = dyn_cast<SCEVConstant>(SE.getSCEV(PN));
+ if (!Const)
+ return nullptr;
+ return Const->getValue();
+ };
+
+ // Fold constant phis. They may be congruent to other constant phis and
+ // would confuse the logic below that expects proper IVs.
+ if (Value *V = SimplifyPHINode(Phi)) {
+ if (V->getType() != Phi->getType())
+ continue;
+ SE.forgetValue(Phi);
+ Phi->replaceAllUsesWith(V);
+ DeadInsts.emplace_back(Phi);
+ ++NumElim;
+ SCEV_DEBUG_WITH_TYPE(DebugType,
+ dbgs() << "INDVARS: Eliminated constant iv: " << *Phi
+ << '\n');
+ continue;
+ }
+
+ if (!SE.isSCEVable(Phi->getType()))
+ continue;
+
+ PHINode *&OrigPhiRef = ExprToIVMap[SE.getSCEV(Phi)];
+ if (!OrigPhiRef) {
+ OrigPhiRef = Phi;
+ if (Phi->getType()->isIntegerTy() && TTI &&
+ TTI->isTruncateFree(Phi->getType(), Phis.back()->getType())) {
+ // This phi can be freely truncated to the narrowest phi type. Map the
+ // truncated expression to it so it will be reused for narrow types.
+ const SCEV *TruncExpr =
+ SE.getTruncateExpr(SE.getSCEV(Phi), Phis.back()->getType());
+ ExprToIVMap[TruncExpr] = Phi;
+ }
+ continue;
+ }
+
+ // Replacing a pointer phi with an integer phi or vice-versa doesn't make
+ // sense.
+ if (OrigPhiRef->getType()->isPointerTy() != Phi->getType()->isPointerTy())
+ continue;
+
+ if (BasicBlock *LatchBlock = L->getLoopLatch()) {
+ Instruction *OrigInc = dyn_cast<Instruction>(
+ OrigPhiRef->getIncomingValueForBlock(LatchBlock));
+ Instruction *IsomorphicInc =
+ dyn_cast<Instruction>(Phi->getIncomingValueForBlock(LatchBlock));
+
+ if (OrigInc && IsomorphicInc) {
+ // If this phi has the same width but is more canonical, replace the
+ // original with it. As part of the "more canonical" determination,
+ // respect a prior decision to use an IV chain.
+ if (OrigPhiRef->getType() == Phi->getType() &&
+ !(ChainedPhis.count(Phi) ||
+ isExpandedAddRecExprPHI(OrigPhiRef, OrigInc, L)) &&
+ (ChainedPhis.count(Phi) ||
+ isExpandedAddRecExprPHI(Phi, IsomorphicInc, L))) {
+ std::swap(OrigPhiRef, Phi);
+ std::swap(OrigInc, IsomorphicInc);
+ }
+ // Replacing the congruent phi is sufficient because acyclic
+ // redundancy elimination, CSE/GVN, should handle the
+ // rest. However, once SCEV proves that a phi is congruent,
+ // it's often the head of an IV user cycle that is isomorphic
+ // with the original phi. It's worth eagerly cleaning up the
+ // common case of a single IV increment so that DeleteDeadPHIs
+ // can remove cycles that had postinc uses.
+ // Because we may potentially introduce a new use of OrigIV that didn't
+ // exist before at this point, its poison flags need readjustment.
+ const SCEV *TruncExpr =
+ SE.getTruncateOrNoop(SE.getSCEV(OrigInc), IsomorphicInc->getType());
+ if (OrigInc != IsomorphicInc &&
+ TruncExpr == SE.getSCEV(IsomorphicInc) &&
+ SE.LI.replacementPreservesLCSSAForm(IsomorphicInc, OrigInc) &&
+ hoistIVInc(OrigInc, IsomorphicInc, /*RecomputePoisonFlags*/ true)) {
+ SCEV_DEBUG_WITH_TYPE(
+ DebugType, dbgs() << "INDVARS: Eliminated congruent iv.inc: "
+ << *IsomorphicInc << '\n');
+ Value *NewInc = OrigInc;
+ if (OrigInc->getType() != IsomorphicInc->getType()) {
+ Instruction *IP = nullptr;
+ if (PHINode *PN = dyn_cast<PHINode>(OrigInc))
+ IP = &*PN->getParent()->getFirstInsertionPt();
+ else
+ IP = OrigInc->getNextNode();
+
+ IRBuilder<> Builder(IP);
+ Builder.SetCurrentDebugLocation(IsomorphicInc->getDebugLoc());
+ NewInc = Builder.CreateTruncOrBitCast(
+ OrigInc, IsomorphicInc->getType(), IVName);
+ }
+ IsomorphicInc->replaceAllUsesWith(NewInc);
+ DeadInsts.emplace_back(IsomorphicInc);
+ }
+ }
+ }
+ SCEV_DEBUG_WITH_TYPE(DebugType,
+ dbgs() << "INDVARS: Eliminated congruent iv: " << *Phi
+ << '\n');
+ SCEV_DEBUG_WITH_TYPE(
+ DebugType, dbgs() << "INDVARS: Original iv: " << *OrigPhiRef << '\n');
+ ++NumElim;
+ Value *NewIV = OrigPhiRef;
+ if (OrigPhiRef->getType() != Phi->getType()) {
+ IRBuilder<> Builder(&*L->getHeader()->getFirstInsertionPt());
+ Builder.SetCurrentDebugLocation(Phi->getDebugLoc());
+ NewIV = Builder.CreateTruncOrBitCast(OrigPhiRef, Phi->getType(), IVName);
+ }
+ Phi->replaceAllUsesWith(NewIV);
+ DeadInsts.emplace_back(Phi);
+ }
+ return NumElim;
+}
+
+Value *SCEVExpander::getRelatedExistingExpansion(const SCEV *S,
+ const Instruction *At,
+ Loop *L) {
+ using namespace llvm::PatternMatch;
+
+ SmallVector<BasicBlock *, 4> ExitingBlocks;
+ L->getExitingBlocks(ExitingBlocks);
+
+ // Look for suitable value in simple conditions at the loop exits.
+ for (BasicBlock *BB : ExitingBlocks) {
+ ICmpInst::Predicate Pred;
+ Instruction *LHS, *RHS;
+
+ if (!match(BB->getTerminator(),
+ m_Br(m_ICmp(Pred, m_Instruction(LHS), m_Instruction(RHS)),
+ m_BasicBlock(), m_BasicBlock())))
+ continue;
+
+ if (SE.getSCEV(LHS) == S && SE.DT.dominates(LHS, At))
+ return LHS;
+
+ if (SE.getSCEV(RHS) == S && SE.DT.dominates(RHS, At))
+ return RHS;
+ }
+
+ // Use expand's logic which is used for reusing a previous Value in
+ // ExprValueMap. Note that we don't currently model the cost of
+ // needing to drop poison generating flags on the instruction if we
+ // want to reuse it. We effectively assume that has zero cost.
+ return FindValueInExprValueMap(S, At);
+}
+
+template<typename T> static InstructionCost costAndCollectOperands(
+ const SCEVOperand &WorkItem, const TargetTransformInfo &TTI,
+ TargetTransformInfo::TargetCostKind CostKind,
+ SmallVectorImpl<SCEVOperand> &Worklist) {
+
+ const T *S = cast<T>(WorkItem.S);
+ InstructionCost Cost = 0;
+ // Object to help map SCEV operands to expanded IR instructions.
+ struct OperationIndices {
+ OperationIndices(unsigned Opc, size_t min, size_t max) :
+ Opcode(Opc), MinIdx(min), MaxIdx(max) { }
+ unsigned Opcode;
+ size_t MinIdx;
+ size_t MaxIdx;
+ };
+
+ // Collect the operations of all the instructions that will be needed to
+ // expand the SCEVExpr. This is so that when we come to cost the operands,
+ // we know what the generated user(s) will be.
+ SmallVector<OperationIndices, 2> Operations;
+
+ auto CastCost = [&](unsigned Opcode) -> InstructionCost {
+ Operations.emplace_back(Opcode, 0, 0);
+ return TTI.getCastInstrCost(Opcode, S->getType(),
+ S->getOperand(0)->getType(),
+ TTI::CastContextHint::None, CostKind);
+ };
+
+ auto ArithCost = [&](unsigned Opcode, unsigned NumRequired,
+ unsigned MinIdx = 0,
+ unsigned MaxIdx = 1) -> InstructionCost {
+ Operations.emplace_back(Opcode, MinIdx, MaxIdx);
+ return NumRequired *
+ TTI.getArithmeticInstrCost(Opcode, S->getType(), CostKind);
+ };
+
+ auto CmpSelCost = [&](unsigned Opcode, unsigned NumRequired, unsigned MinIdx,
+ unsigned MaxIdx) -> InstructionCost {
+ Operations.emplace_back(Opcode, MinIdx, MaxIdx);
+ Type *OpType = S->getType();
+ return NumRequired * TTI.getCmpSelInstrCost(
+ Opcode, OpType, CmpInst::makeCmpResultType(OpType),
+ CmpInst::BAD_ICMP_PREDICATE, CostKind);
+ };
+
+ switch (S->getSCEVType()) {
+ case scCouldNotCompute:
+ llvm_unreachable("Attempt to use a SCEVCouldNotCompute object!");
+ case scUnknown:
+ case scConstant:
+ return 0;
+ case scPtrToInt:
+ Cost = CastCost(Instruction::PtrToInt);
+ break;
+ case scTruncate:
+ Cost = CastCost(Instruction::Trunc);
+ break;
+ case scZeroExtend:
+ Cost = CastCost(Instruction::ZExt);
+ break;
+ case scSignExtend:
+ Cost = CastCost(Instruction::SExt);
+ break;
+ case scUDivExpr: {
+ unsigned Opcode = Instruction::UDiv;
+ if (auto *SC = dyn_cast<SCEVConstant>(S->getOperand(1)))
+ if (SC->getAPInt().isPowerOf2())
+ Opcode = Instruction::LShr;
+ Cost = ArithCost(Opcode, 1);
+ break;
+ }
+ case scAddExpr:
+ Cost = ArithCost(Instruction::Add, S->getNumOperands() - 1);
+ break;
+ case scMulExpr:
+ // TODO: this is a very pessimistic cost modelling for Mul,
+ // because of Bin Pow algorithm actually used by the expander,
+ // see SCEVExpander::visitMulExpr(), ExpandOpBinPowN().
+ Cost = ArithCost(Instruction::Mul, S->getNumOperands() - 1);
+ break;
+ case scSMaxExpr:
+ case scUMaxExpr:
+ case scSMinExpr:
+ case scUMinExpr:
+ case scSequentialUMinExpr: {
+ // FIXME: should this ask the cost for Intrinsic's?
+ // The reduction tree.
+ Cost += CmpSelCost(Instruction::ICmp, S->getNumOperands() - 1, 0, 1);
+ Cost += CmpSelCost(Instruction::Select, S->getNumOperands() - 1, 0, 2);
+ switch (S->getSCEVType()) {
+ case scSequentialUMinExpr: {
+ // The safety net against poison.
+ // FIXME: this is broken.
+ Cost += CmpSelCost(Instruction::ICmp, S->getNumOperands() - 1, 0, 0);
+ Cost += ArithCost(Instruction::Or,
+ S->getNumOperands() > 2 ? S->getNumOperands() - 2 : 0);
+ Cost += CmpSelCost(Instruction::Select, 1, 0, 1);
+ break;
+ }
+ default:
+ assert(!isa<SCEVSequentialMinMaxExpr>(S) &&
+ "Unhandled SCEV expression type?");
+ break;
+ }
+ break;
+ }
+ case scAddRecExpr: {
+ // In this polynominal, we may have some zero operands, and we shouldn't
+ // really charge for those. So how many non-zero coefficients are there?
+ int NumTerms = llvm::count_if(S->operands(), [](const SCEV *Op) {
+ return !Op->isZero();
+ });
+
+ assert(NumTerms >= 1 && "Polynominal should have at least one term.");
+ assert(!(*std::prev(S->operands().end()))->isZero() &&
+ "Last operand should not be zero");
+
+ // Ignoring constant term (operand 0), how many of the coefficients are u> 1?
+ int NumNonZeroDegreeNonOneTerms =
+ llvm::count_if(S->operands(), [](const SCEV *Op) {
+ auto *SConst = dyn_cast<SCEVConstant>(Op);
+ return !SConst || SConst->getAPInt().ugt(1);
+ });
+
+ // Much like with normal add expr, the polynominal will require
+ // one less addition than the number of it's terms.
+ InstructionCost AddCost = ArithCost(Instruction::Add, NumTerms - 1,
+ /*MinIdx*/ 1, /*MaxIdx*/ 1);
+ // Here, *each* one of those will require a multiplication.
+ InstructionCost MulCost =
+ ArithCost(Instruction::Mul, NumNonZeroDegreeNonOneTerms);
+ Cost = AddCost + MulCost;
+
+ // What is the degree of this polynominal?
+ int PolyDegree = S->getNumOperands() - 1;
+ assert(PolyDegree >= 1 && "Should be at least affine.");
+
+ // The final term will be:
+ // Op_{PolyDegree} * x ^ {PolyDegree}
+ // Where x ^ {PolyDegree} will again require PolyDegree-1 mul operations.
+ // Note that x ^ {PolyDegree} = x * x ^ {PolyDegree-1} so charging for
+ // x ^ {PolyDegree} will give us x ^ {2} .. x ^ {PolyDegree-1} for free.
+ // FIXME: this is conservatively correct, but might be overly pessimistic.
+ Cost += MulCost * (PolyDegree - 1);
+ break;
+ }
+ }
+
+ for (auto &CostOp : Operations) {
+ for (auto SCEVOp : enumerate(S->operands())) {
+ // Clamp the index to account for multiple IR operations being chained.
+ size_t MinIdx = std::max(SCEVOp.index(), CostOp.MinIdx);
+ size_t OpIdx = std::min(MinIdx, CostOp.MaxIdx);
+ Worklist.emplace_back(CostOp.Opcode, OpIdx, SCEVOp.value());
+ }
+ }
+ return Cost;
+}
+
+bool SCEVExpander::isHighCostExpansionHelper(
+ const SCEVOperand &WorkItem, Loop *L, const Instruction &At,
+ InstructionCost &Cost, unsigned Budget, const TargetTransformInfo &TTI,
+ SmallPtrSetImpl<const SCEV *> &Processed,
+ SmallVectorImpl<SCEVOperand> &Worklist) {
+ if (Cost > Budget)
+ return true; // Already run out of budget, give up.
+
+ const SCEV *S = WorkItem.S;
+ // Was the cost of expansion of this expression already accounted for?
+ if (!isa<SCEVConstant>(S) && !Processed.insert(S).second)
+ return false; // We have already accounted for this expression.
+
+ // If we can find an existing value for this scev available at the point "At"
+ // then consider the expression cheap.
+ if (getRelatedExistingExpansion(S, &At, L))
+ return false; // Consider the expression to be free.
+
+ TargetTransformInfo::TargetCostKind CostKind =
+ L->getHeader()->getParent()->hasMinSize()
+ ? TargetTransformInfo::TCK_CodeSize
+ : TargetTransformInfo::TCK_RecipThroughput;
+
+ switch (S->getSCEVType()) {
+ case scCouldNotCompute:
+ llvm_unreachable("Attempt to use a SCEVCouldNotCompute object!");
+ case scUnknown:
+ // Assume to be zero-cost.
+ return false;
+ case scConstant: {
+ // Only evalulate the costs of constants when optimizing for size.
+ if (CostKind != TargetTransformInfo::TCK_CodeSize)
+ return false;
+ const APInt &Imm = cast<SCEVConstant>(S)->getAPInt();
+ Type *Ty = S->getType();
+ Cost += TTI.getIntImmCostInst(
+ WorkItem.ParentOpcode, WorkItem.OperandIdx, Imm, Ty, CostKind);
+ return Cost > Budget;
+ }
+ case scTruncate:
+ case scPtrToInt:
+ case scZeroExtend:
+ case scSignExtend: {
+ Cost +=
+ costAndCollectOperands<SCEVCastExpr>(WorkItem, TTI, CostKind, Worklist);
+ return false; // Will answer upon next entry into this function.
+ }
+ case scUDivExpr: {
+ // UDivExpr is very likely a UDiv that ScalarEvolution's HowFarToZero or
+ // HowManyLessThans produced to compute a precise expression, rather than a
+ // UDiv from the user's code. If we can't find a UDiv in the code with some
+ // simple searching, we need to account for it's cost.
+
+ // At the beginning of this function we already tried to find existing
+ // value for plain 'S'. Now try to lookup 'S + 1' since it is common
+ // pattern involving division. This is just a simple search heuristic.
+ if (getRelatedExistingExpansion(
+ SE.getAddExpr(S, SE.getConstant(S->getType(), 1)), &At, L))
+ return false; // Consider it to be free.
+
+ Cost +=
+ costAndCollectOperands<SCEVUDivExpr>(WorkItem, TTI, CostKind, Worklist);
+ return false; // Will answer upon next entry into this function.
+ }
+ case scAddExpr:
+ case scMulExpr:
+ case scUMaxExpr:
+ case scSMaxExpr:
+ case scUMinExpr:
+ case scSMinExpr:
+ case scSequentialUMinExpr: {
+ assert(cast<SCEVNAryExpr>(S)->getNumOperands() > 1 &&
+ "Nary expr should have more than 1 operand.");
+ // The simple nary expr will require one less op (or pair of ops)
+ // than the number of it's terms.
+ Cost +=
+ costAndCollectOperands<SCEVNAryExpr>(WorkItem, TTI, CostKind, Worklist);
+ return Cost > Budget;
+ }
+ case scAddRecExpr: {
+ assert(cast<SCEVAddRecExpr>(S)->getNumOperands() >= 2 &&
+ "Polynomial should be at least linear");
+ Cost += costAndCollectOperands<SCEVAddRecExpr>(
+ WorkItem, TTI, CostKind, Worklist);
+ return Cost > Budget;
+ }
+ }
+ llvm_unreachable("Unknown SCEV kind!");
+}
+
+Value *SCEVExpander::expandCodeForPredicate(const SCEVPredicate *Pred,
+ Instruction *IP) {
+ assert(IP);
+ switch (Pred->getKind()) {
+ case SCEVPredicate::P_Union:
+ return expandUnionPredicate(cast<SCEVUnionPredicate>(Pred), IP);
+ case SCEVPredicate::P_Compare:
+ return expandComparePredicate(cast<SCEVComparePredicate>(Pred), IP);
+ case SCEVPredicate::P_Wrap: {
+ auto *AddRecPred = cast<SCEVWrapPredicate>(Pred);
+ return expandWrapPredicate(AddRecPred, IP);
+ }
+ }
+ llvm_unreachable("Unknown SCEV predicate type");
+}
+
+Value *SCEVExpander::expandComparePredicate(const SCEVComparePredicate *Pred,
+ Instruction *IP) {
+ Value *Expr0 =
+ expandCodeForImpl(Pred->getLHS(), Pred->getLHS()->getType(), IP);
+ Value *Expr1 =
+ expandCodeForImpl(Pred->getRHS(), Pred->getRHS()->getType(), IP);
+
+ Builder.SetInsertPoint(IP);
+ auto InvPred = ICmpInst::getInversePredicate(Pred->getPredicate());
+ auto *I = Builder.CreateICmp(InvPred, Expr0, Expr1, "ident.check");
+ return I;
+}
+
+Value *SCEVExpander::generateOverflowCheck(const SCEVAddRecExpr *AR,
+ Instruction *Loc, bool Signed) {
+ assert(AR->isAffine() && "Cannot generate RT check for "
+ "non-affine expression");
+
+ // FIXME: It is highly suspicious that we're ignoring the predicates here.
+ SmallVector<const SCEVPredicate *, 4> Pred;
+ const SCEV *ExitCount =
+ SE.getPredicatedBackedgeTakenCount(AR->getLoop(), Pred);
+
+ assert(!isa<SCEVCouldNotCompute>(ExitCount) && "Invalid loop count");
+
+ const SCEV *Step = AR->getStepRecurrence(SE);
+ const SCEV *Start = AR->getStart();
+
+ Type *ARTy = AR->getType();
+ unsigned SrcBits = SE.getTypeSizeInBits(ExitCount->getType());
+ unsigned DstBits = SE.getTypeSizeInBits(ARTy);
+
+ // The expression {Start,+,Step} has nusw/nssw if
+ // Step < 0, Start - |Step| * Backedge <= Start
+ // Step >= 0, Start + |Step| * Backedge > Start
+ // and |Step| * Backedge doesn't unsigned overflow.
+
+ IntegerType *CountTy = IntegerType::get(Loc->getContext(), SrcBits);
+ Builder.SetInsertPoint(Loc);
+ Value *TripCountVal = expandCodeForImpl(ExitCount, CountTy, Loc);
+
+ IntegerType *Ty =
+ IntegerType::get(Loc->getContext(), SE.getTypeSizeInBits(ARTy));
+
+ Value *StepValue = expandCodeForImpl(Step, Ty, Loc);
+ Value *NegStepValue =
+ expandCodeForImpl(SE.getNegativeSCEV(Step), Ty, Loc);
+ Value *StartValue = expandCodeForImpl(Start, ARTy, Loc);
+
+ ConstantInt *Zero =
+ ConstantInt::get(Loc->getContext(), APInt::getZero(DstBits));
+
+ Builder.SetInsertPoint(Loc);
+ // Compute |Step|
+ Value *StepCompare = Builder.CreateICmp(ICmpInst::ICMP_SLT, StepValue, Zero);
+ Value *AbsStep = Builder.CreateSelect(StepCompare, NegStepValue, StepValue);
+
+ // Compute |Step| * Backedge
+ // Compute:
+ // 1. Start + |Step| * Backedge < Start
+ // 2. Start - |Step| * Backedge > Start
+ //
+ // And select either 1. or 2. depending on whether step is positive or
+ // negative. If Step is known to be positive or negative, only create
+ // either 1. or 2.
+ auto ComputeEndCheck = [&]() -> Value * {
+ // Checking <u 0 is always false.
+ if (!Signed && Start->isZero() && SE.isKnownPositive(Step))
+ return ConstantInt::getFalse(Loc->getContext());
+
+ // Get the backedge taken count and truncate or extended to the AR type.
+ Value *TruncTripCount = Builder.CreateZExtOrTrunc(TripCountVal, Ty);
+
+ Value *MulV, *OfMul;
+ if (Step->isOne()) {
+ // Special-case Step of one. Potentially-costly `umul_with_overflow` isn't
+ // needed, there is never an overflow, so to avoid artificially inflating
+ // the cost of the check, directly emit the optimized IR.
+ MulV = TruncTripCount;
+ OfMul = ConstantInt::getFalse(MulV->getContext());
+ } else {
+ auto *MulF = Intrinsic::getDeclaration(Loc->getModule(),
+ Intrinsic::umul_with_overflow, Ty);
+ CallInst *Mul =
+ Builder.CreateCall(MulF, {AbsStep, TruncTripCount}, "mul");
+ MulV = Builder.CreateExtractValue(Mul, 0, "mul.result");
+ OfMul = Builder.CreateExtractValue(Mul, 1, "mul.overflow");
+ }
+
+ Value *Add = nullptr, *Sub = nullptr;
+ bool NeedPosCheck = !SE.isKnownNegative(Step);
+ bool NeedNegCheck = !SE.isKnownPositive(Step);
+
+ if (PointerType *ARPtrTy = dyn_cast<PointerType>(ARTy)) {
+ StartValue = InsertNoopCastOfTo(
+ StartValue, Builder.getInt8PtrTy(ARPtrTy->getAddressSpace()));
+ Value *NegMulV = Builder.CreateNeg(MulV);
+ if (NeedPosCheck)
+ Add = Builder.CreateGEP(Builder.getInt8Ty(), StartValue, MulV);
+ if (NeedNegCheck)
+ Sub = Builder.CreateGEP(Builder.getInt8Ty(), StartValue, NegMulV);
+ } else {
+ if (NeedPosCheck)
+ Add = Builder.CreateAdd(StartValue, MulV);
+ if (NeedNegCheck)
+ Sub = Builder.CreateSub(StartValue, MulV);
+ }
+
+ Value *EndCompareLT = nullptr;
+ Value *EndCompareGT = nullptr;
+ Value *EndCheck = nullptr;
+ if (NeedPosCheck)
+ EndCheck = EndCompareLT = Builder.CreateICmp(
+ Signed ? ICmpInst::ICMP_SLT : ICmpInst::ICMP_ULT, Add, StartValue);
+ if (NeedNegCheck)
+ EndCheck = EndCompareGT = Builder.CreateICmp(
+ Signed ? ICmpInst::ICMP_SGT : ICmpInst::ICMP_UGT, Sub, StartValue);
+ if (NeedPosCheck && NeedNegCheck) {
+ // Select the answer based on the sign of Step.
+ EndCheck = Builder.CreateSelect(StepCompare, EndCompareGT, EndCompareLT);
+ }
+ return Builder.CreateOr(EndCheck, OfMul);
+ };
+ Value *EndCheck = ComputeEndCheck();
+
+ // If the backedge taken count type is larger than the AR type,
+ // check that we don't drop any bits by truncating it. If we are
+ // dropping bits, then we have overflow (unless the step is zero).
+ if (SE.getTypeSizeInBits(CountTy) > SE.getTypeSizeInBits(Ty)) {
+ auto MaxVal = APInt::getMaxValue(DstBits).zext(SrcBits);
+ auto *BackedgeCheck =
+ Builder.CreateICmp(ICmpInst::ICMP_UGT, TripCountVal,
+ ConstantInt::get(Loc->getContext(), MaxVal));
+ BackedgeCheck = Builder.CreateAnd(
+ BackedgeCheck, Builder.CreateICmp(ICmpInst::ICMP_NE, StepValue, Zero));
+
+ EndCheck = Builder.CreateOr(EndCheck, BackedgeCheck);
+ }
+
+ return EndCheck;
+}
+
+Value *SCEVExpander::expandWrapPredicate(const SCEVWrapPredicate *Pred,
+ Instruction *IP) {
+ const auto *A = cast<SCEVAddRecExpr>(Pred->getExpr());
+ Value *NSSWCheck = nullptr, *NUSWCheck = nullptr;
+
+ // Add a check for NUSW
+ if (Pred->getFlags() & SCEVWrapPredicate::IncrementNUSW)
+ NUSWCheck = generateOverflowCheck(A, IP, false);
+
+ // Add a check for NSSW
+ if (Pred->getFlags() & SCEVWrapPredicate::IncrementNSSW)
+ NSSWCheck = generateOverflowCheck(A, IP, true);
+
+ if (NUSWCheck && NSSWCheck)
+ return Builder.CreateOr(NUSWCheck, NSSWCheck);
+
+ if (NUSWCheck)
+ return NUSWCheck;
+
+ if (NSSWCheck)
+ return NSSWCheck;
+
+ return ConstantInt::getFalse(IP->getContext());
+}
+
+Value *SCEVExpander::expandUnionPredicate(const SCEVUnionPredicate *Union,
+ Instruction *IP) {
+ // Loop over all checks in this set.
+ SmallVector<Value *> Checks;
+ for (const auto *Pred : Union->getPredicates()) {
+ Checks.push_back(expandCodeForPredicate(Pred, IP));
+ Builder.SetInsertPoint(IP);
+ }
+
+ if (Checks.empty())
+ return ConstantInt::getFalse(IP->getContext());
+ return Builder.CreateOr(Checks);
+}
+
+Value *SCEVExpander::fixupLCSSAFormFor(Value *V) {
+ auto *DefI = dyn_cast<Instruction>(V);
+ if (!PreserveLCSSA || !DefI)
+ return V;
+
+ Instruction *InsertPt = &*Builder.GetInsertPoint();
+ Loop *DefLoop = SE.LI.getLoopFor(DefI->getParent());
+ Loop *UseLoop = SE.LI.getLoopFor(InsertPt->getParent());
+ if (!DefLoop || UseLoop == DefLoop || DefLoop->contains(UseLoop))
+ return V;
+
+ // Create a temporary instruction to at the current insertion point, so we
+ // can hand it off to the helper to create LCSSA PHIs if required for the
+ // new use.
+ // FIXME: Ideally formLCSSAForInstructions (used in fixupLCSSAFormFor)
+ // would accept a insertion point and return an LCSSA phi for that
+ // insertion point, so there is no need to insert & remove the temporary
+ // instruction.
+ Type *ToTy;
+ if (DefI->getType()->isIntegerTy())
+ ToTy = DefI->getType()->getPointerTo();
+ else
+ ToTy = Type::getInt32Ty(DefI->getContext());
+ Instruction *User =
+ CastInst::CreateBitOrPointerCast(DefI, ToTy, "tmp.lcssa.user", InsertPt);
+ auto RemoveUserOnExit =
+ make_scope_exit([User]() { User->eraseFromParent(); });
+
+ SmallVector<Instruction *, 1> ToUpdate;
+ ToUpdate.push_back(DefI);
+ SmallVector<PHINode *, 16> PHIsToRemove;
+ formLCSSAForInstructions(ToUpdate, SE.DT, SE.LI, &SE, Builder, &PHIsToRemove);
+ for (PHINode *PN : PHIsToRemove) {
+ if (!PN->use_empty())
+ continue;
+ InsertedValues.erase(PN);
+ InsertedPostIncValues.erase(PN);
+ PN->eraseFromParent();
+ }
+
+ return User->getOperand(0);
+}
+
+namespace {
+// Search for a SCEV subexpression that is not safe to expand. Any expression
+// that may expand to a !isSafeToSpeculativelyExecute value is unsafe, namely
+// UDiv expressions. We don't know if the UDiv is derived from an IR divide
+// instruction, but the important thing is that we prove the denominator is
+// nonzero before expansion.
+//
+// IVUsers already checks that IV-derived expressions are safe. So this check is
+// only needed when the expression includes some subexpression that is not IV
+// derived.
+//
+// Currently, we only allow division by a value provably non-zero here.
+//
+// We cannot generally expand recurrences unless the step dominates the loop
+// header. The expander handles the special case of affine recurrences by
+// scaling the recurrence outside the loop, but this technique isn't generally
+// applicable. Expanding a nested recurrence outside a loop requires computing
+// binomial coefficients. This could be done, but the recurrence has to be in a
+// perfectly reduced form, which can't be guaranteed.
+struct SCEVFindUnsafe {
+ ScalarEvolution &SE;
+ bool CanonicalMode;
+ bool IsUnsafe = false;
+
+ SCEVFindUnsafe(ScalarEvolution &SE, bool CanonicalMode)
+ : SE(SE), CanonicalMode(CanonicalMode) {}
+
+ bool follow(const SCEV *S) {
+ if (const SCEVUDivExpr *D = dyn_cast<SCEVUDivExpr>(S)) {
+ if (!SE.isKnownNonZero(D->getRHS())) {
+ IsUnsafe = true;
+ return false;
+ }
+ }
+ if (const SCEVAddRecExpr *AR = dyn_cast<SCEVAddRecExpr>(S)) {
+ const SCEV *Step = AR->getStepRecurrence(SE);
+ if (!AR->isAffine() && !SE.dominates(Step, AR->getLoop()->getHeader())) {
+ IsUnsafe = true;
+ return false;
+ }
+
+ // For non-affine addrecs or in non-canonical mode we need a preheader
+ // to insert into.
+ if (!AR->getLoop()->getLoopPreheader() &&
+ (!CanonicalMode || !AR->isAffine())) {
+ IsUnsafe = true;
+ return false;
+ }
+ }
+ return true;
+ }
+ bool isDone() const { return IsUnsafe; }
+};
+} // namespace
+
+bool SCEVExpander::isSafeToExpand(const SCEV *S) const {
+ SCEVFindUnsafe Search(SE, CanonicalMode);
+ visitAll(S, Search);
+ return !Search.IsUnsafe;
+}
+
+bool SCEVExpander::isSafeToExpandAt(const SCEV *S,
+ const Instruction *InsertionPoint) const {
+ if (!isSafeToExpand(S))
+ return false;
+ // We have to prove that the expanded site of S dominates InsertionPoint.
+ // This is easy when not in the same block, but hard when S is an instruction
+ // to be expanded somewhere inside the same block as our insertion point.
+ // What we really need here is something analogous to an OrderedBasicBlock,
+ // but for the moment, we paper over the problem by handling two common and
+ // cheap to check cases.
+ if (SE.properlyDominates(S, InsertionPoint->getParent()))
+ return true;
+ if (SE.dominates(S, InsertionPoint->getParent())) {
+ if (InsertionPoint->getParent()->getTerminator() == InsertionPoint)
+ return true;
+ if (const SCEVUnknown *U = dyn_cast<SCEVUnknown>(S))
+ if (llvm::is_contained(InsertionPoint->operand_values(), U->getValue()))
+ return true;
+ }
+ return false;
+}
+
+void SCEVExpanderCleaner::cleanup() {
+ // Result is used, nothing to remove.
+ if (ResultUsed)
+ return;
+
+ auto InsertedInstructions = Expander.getAllInsertedInstructions();
+#ifndef NDEBUG
+ SmallPtrSet<Instruction *, 8> InsertedSet(InsertedInstructions.begin(),
+ InsertedInstructions.end());
+ (void)InsertedSet;
+#endif
+ // Remove sets with value handles.
+ Expander.clear();
+
+ // Remove all inserted instructions.
+ for (Instruction *I : reverse(InsertedInstructions)) {
+#ifndef NDEBUG
+ assert(all_of(I->users(),
+ [&InsertedSet](Value *U) {
+ return InsertedSet.contains(cast<Instruction>(U));
+ }) &&
+ "removed instruction should only be used by instructions inserted "
+ "during expansion");
+#endif
+ assert(!I->getType()->isVoidTy() &&
+ "inserted instruction should have non-void types");
+ I->replaceAllUsesWith(PoisonValue::get(I->getType()));
+ I->eraseFromParent();
+ }
+}