#include "llvm/ADT/STLExtras.h"
#include "llvm/ADT/SmallPtrSet.h"
#include "llvm/ADT/Statistic.h"
-#include "llvm/Analysis/AssumptionTracker.h"
+#include "llvm/Analysis/AssumptionCache.h"
#include "llvm/Analysis/ConstantFolding.h"
#include "llvm/Analysis/InstructionSimplify.h"
#include "llvm/Analysis/LoopInfo.h"
#include "llvm/Analysis/ScalarEvolutionExpressions.h"
+#include "llvm/Analysis/TargetLibraryInfo.h"
#include "llvm/Analysis/ValueTracking.h"
#include "llvm/IR/ConstantRange.h"
#include "llvm/IR/Constants.h"
#include "llvm/Support/ErrorHandling.h"
#include "llvm/Support/MathExtras.h"
#include "llvm/Support/raw_ostream.h"
-#include "llvm/Target/TargetLibraryInfo.h"
#include <algorithm>
using namespace llvm;
INITIALIZE_PASS_BEGIN(ScalarEvolution, "scalar-evolution",
"Scalar Evolution Analysis", false, true)
-INITIALIZE_PASS_DEPENDENCY(AssumptionTracker)
-INITIALIZE_PASS_DEPENDENCY(LoopInfo)
+INITIALIZE_PASS_DEPENDENCY(AssumptionCacheTracker)
+INITIALIZE_PASS_DEPENDENCY(LoopInfoWrapperPass)
INITIALIZE_PASS_DEPENDENCY(DominatorTreeWrapperPass)
-INITIALIZE_PASS_DEPENDENCY(TargetLibraryInfo)
+INITIALIZE_PASS_DEPENDENCY(TargetLibraryInfoWrapperPass)
INITIALIZE_PASS_END(ScalarEvolution, "scalar-evolution",
"Scalar Evolution Analysis", false, true)
char ScalarEvolution::ID = 0;
}
}
-static const APInt srem(const SCEVConstant *C1, const SCEVConstant *C2) {
- APInt A = C1->getValue()->getValue();
- APInt B = C2->getValue()->getValue();
- uint32_t ABW = A.getBitWidth();
- uint32_t BBW = B.getBitWidth();
-
- if (ABW > BBW)
- B = B.sext(ABW);
- else if (ABW < BBW)
- A = A.sext(BBW);
-
- return APIntOps::srem(A, B);
-}
-
-static const APInt sdiv(const SCEVConstant *C1, const SCEVConstant *C2) {
- APInt A = C1->getValue()->getValue();
- APInt B = C2->getValue()->getValue();
- uint32_t ABW = A.getBitWidth();
- uint32_t BBW = B.getBitWidth();
-
- if (ABW > BBW)
- B = B.sext(ABW);
- else if (ABW < BBW)
- A = A.sext(BBW);
-
- return APIntOps::sdiv(A, B);
-}
-
namespace {
struct FindSCEVSize {
int Size;
return;
}
+ // A simple case when N/1. The quotient is N.
+ if (Denominator->isOne()) {
+ *Quotient = Numerator;
+ *Remainder = D.Zero;
+ return;
+ }
+
// Split the Denominator when it is a product.
if (const SCEVMulExpr *T = dyn_cast<const SCEVMulExpr>(Denominator)) {
const SCEV *Q, *R;
*Remainder = D.Remainder;
}
- SCEVDivision(ScalarEvolution &S, const SCEV *Numerator, const SCEV *Denominator)
- : SE(S), Denominator(Denominator) {
- Zero = SE.getConstant(Denominator->getType(), 0);
- One = SE.getConstant(Denominator->getType(), 1);
-
- // By default, we don't know how to divide Expr by Denominator.
- // Providing the default here simplifies the rest of the code.
- Quotient = Zero;
- Remainder = Numerator;
- }
-
// Except in the trivial case described above, we do not know how to divide
// Expr by Denominator for the following functions with empty implementation.
void visitTruncateExpr(const SCEVTruncateExpr *Numerator) {}
void visitConstant(const SCEVConstant *Numerator) {
if (const SCEVConstant *D = dyn_cast<SCEVConstant>(Denominator)) {
- Quotient = SE.getConstant(sdiv(Numerator, D));
- Remainder = SE.getConstant(srem(Numerator, D));
+ APInt NumeratorVal = Numerator->getValue()->getValue();
+ APInt DenominatorVal = D->getValue()->getValue();
+ uint32_t NumeratorBW = NumeratorVal.getBitWidth();
+ uint32_t DenominatorBW = DenominatorVal.getBitWidth();
+
+ if (NumeratorBW > DenominatorBW)
+ DenominatorVal = DenominatorVal.sext(NumeratorBW);
+ else if (NumeratorBW < DenominatorBW)
+ NumeratorVal = NumeratorVal.sext(DenominatorBW);
+
+ APInt QuotientVal(NumeratorVal.getBitWidth(), 0);
+ APInt RemainderVal(NumeratorVal.getBitWidth(), 0);
+ APInt::sdivrem(NumeratorVal, DenominatorVal, QuotientVal, RemainderVal);
+ Quotient = SE.getConstant(QuotientVal);
+ Remainder = SE.getConstant(RemainderVal);
return;
}
}
assert(Numerator->isAffine() && "Numerator should be affine");
divide(SE, Numerator->getStart(), Denominator, &StartQ, &StartR);
divide(SE, Numerator->getStepRecurrence(SE), Denominator, &StepQ, &StepR);
+ // Bail out if the types do not match.
+ Type *Ty = Denominator->getType();
+ if (Ty != StartQ->getType() || Ty != StartR->getType() ||
+ Ty != StepQ->getType() || Ty != StepR->getType()) {
+ Quotient = Zero;
+ Remainder = Numerator;
+ return;
+ }
Quotient = SE.getAddRecExpr(StartQ, StepQ, Numerator->getLoop(),
Numerator->getNoWrapFlags());
Remainder = SE.getAddRecExpr(StartR, StepR, Numerator->getLoop(),
}
private:
+ SCEVDivision(ScalarEvolution &S, const SCEV *Numerator,
+ const SCEV *Denominator)
+ : SE(S), Denominator(Denominator) {
+ Zero = SE.getConstant(Denominator->getType(), 0);
+ One = SE.getConstant(Denominator->getType(), 1);
+
+ // By default, we don't know how to divide Expr by Denominator.
+ // Providing the default here simplifies the rest of the code.
+ Quotient = Zero;
+ Remainder = Numerator;
+ }
+
ScalarEvolution &SE;
const SCEV *Denominator, *Quotient, *Remainder, *Zero, *One;
};
-}
-
+}
//===----------------------------------------------------------------------===//
// Simple SCEV method implementations
return getTruncateOrZeroExtend(SZ->getOperand(), Ty);
// trunc(x1+x2+...+xN) --> trunc(x1)+trunc(x2)+...+trunc(xN) if we can
- // eliminate all the truncates.
+ // eliminate all the truncates, or we replace other casts with truncates.
if (const SCEVAddExpr *SA = dyn_cast<SCEVAddExpr>(Op)) {
SmallVector<const SCEV *, 4> Operands;
bool hasTrunc = false;
for (unsigned i = 0, e = SA->getNumOperands(); i != e && !hasTrunc; ++i) {
const SCEV *S = getTruncateExpr(SA->getOperand(i), Ty);
- hasTrunc = isa<SCEVTruncateExpr>(S);
+ if (!isa<SCEVCastExpr>(SA->getOperand(i)))
+ hasTrunc = isa<SCEVTruncateExpr>(S);
Operands.push_back(S);
}
if (!hasTrunc)
}
// trunc(x1*x2*...*xN) --> trunc(x1)*trunc(x2)*...*trunc(xN) if we can
- // eliminate all the truncates.
+ // eliminate all the truncates, or we replace other casts with truncates.
if (const SCEVMulExpr *SM = dyn_cast<SCEVMulExpr>(Op)) {
SmallVector<const SCEV *, 4> Operands;
bool hasTrunc = false;
for (unsigned i = 0, e = SM->getNumOperands(); i != e && !hasTrunc; ++i) {
const SCEV *S = getTruncateExpr(SM->getOperand(i), Ty);
- hasTrunc = isa<SCEVTruncateExpr>(S);
+ if (!isa<SCEVCastExpr>(SM->getOperand(i)))
+ hasTrunc = isa<SCEVTruncateExpr>(S);
Operands.push_back(S);
}
if (!hasTrunc)
return S;
}
+// Get the limit of a recurrence such that incrementing by Step cannot cause
+// signed overflow as long as the value of the recurrence within the
+// loop does not exceed this limit before incrementing.
+static const SCEV *getSignedOverflowLimitForStep(const SCEV *Step,
+ ICmpInst::Predicate *Pred,
+ ScalarEvolution *SE) {
+ unsigned BitWidth = SE->getTypeSizeInBits(Step->getType());
+ if (SE->isKnownPositive(Step)) {
+ *Pred = ICmpInst::ICMP_SLT;
+ return SE->getConstant(APInt::getSignedMinValue(BitWidth) -
+ SE->getSignedRange(Step).getSignedMax());
+ }
+ if (SE->isKnownNegative(Step)) {
+ *Pred = ICmpInst::ICMP_SGT;
+ return SE->getConstant(APInt::getSignedMaxValue(BitWidth) -
+ SE->getSignedRange(Step).getSignedMin());
+ }
+ return nullptr;
+}
+
+// Get the limit of a recurrence such that incrementing by Step cannot cause
+// unsigned overflow as long as the value of the recurrence within the loop does
+// not exceed this limit before incrementing.
+static const SCEV *getUnsignedOverflowLimitForStep(const SCEV *Step,
+ ICmpInst::Predicate *Pred,
+ ScalarEvolution *SE) {
+ unsigned BitWidth = SE->getTypeSizeInBits(Step->getType());
+ *Pred = ICmpInst::ICMP_ULT;
+
+ return SE->getConstant(APInt::getMinValue(BitWidth) -
+ SE->getUnsignedRange(Step).getUnsignedMax());
+}
+
+namespace {
+
+struct ExtendOpTraitsBase {
+ typedef const SCEV *(ScalarEvolution::*GetExtendExprTy)(const SCEV *, Type *);
+};
+
+// Used to make code generic over signed and unsigned overflow.
+template <typename ExtendOp> struct ExtendOpTraits {
+ // Members present:
+ //
+ // static const SCEV::NoWrapFlags WrapType;
+ //
+ // static const ExtendOpTraitsBase::GetExtendExprTy GetExtendExpr;
+ //
+ // static const SCEV *getOverflowLimitForStep(const SCEV *Step,
+ // ICmpInst::Predicate *Pred,
+ // ScalarEvolution *SE);
+};
+
+template <>
+struct ExtendOpTraits<SCEVSignExtendExpr> : public ExtendOpTraitsBase {
+ static const SCEV::NoWrapFlags WrapType = SCEV::FlagNSW;
+
+ static const GetExtendExprTy GetExtendExpr;
+
+ static const SCEV *getOverflowLimitForStep(const SCEV *Step,
+ ICmpInst::Predicate *Pred,
+ ScalarEvolution *SE) {
+ return getSignedOverflowLimitForStep(Step, Pred, SE);
+ }
+};
+
+const ExtendOpTraitsBase::GetExtendExprTy ExtendOpTraits<
+ SCEVSignExtendExpr>::GetExtendExpr = &ScalarEvolution::getSignExtendExpr;
+
+template <>
+struct ExtendOpTraits<SCEVZeroExtendExpr> : public ExtendOpTraitsBase {
+ static const SCEV::NoWrapFlags WrapType = SCEV::FlagNUW;
+
+ static const GetExtendExprTy GetExtendExpr;
+
+ static const SCEV *getOverflowLimitForStep(const SCEV *Step,
+ ICmpInst::Predicate *Pred,
+ ScalarEvolution *SE) {
+ return getUnsignedOverflowLimitForStep(Step, Pred, SE);
+ }
+};
+
+const ExtendOpTraitsBase::GetExtendExprTy ExtendOpTraits<
+ SCEVZeroExtendExpr>::GetExtendExpr = &ScalarEvolution::getZeroExtendExpr;
+}
+
+// The recurrence AR has been shown to have no signed/unsigned wrap or something
+// close to it. Typically, if we can prove NSW/NUW for AR, then we can just as
+// easily prove NSW/NUW for its preincrement or postincrement sibling. This
+// allows normalizing a sign/zero extended AddRec as such: {sext/zext(Step +
+// Start),+,Step} => {(Step + sext/zext(Start),+,Step} As a result, the
+// expression "Step + sext/zext(PreIncAR)" is congruent with
+// "sext/zext(PostIncAR)"
+template <typename ExtendOpTy>
+static const SCEV *getPreStartForExtend(const SCEVAddRecExpr *AR, Type *Ty,
+ ScalarEvolution *SE) {
+ auto WrapType = ExtendOpTraits<ExtendOpTy>::WrapType;
+ auto GetExtendExpr = ExtendOpTraits<ExtendOpTy>::GetExtendExpr;
+
+ const Loop *L = AR->getLoop();
+ const SCEV *Start = AR->getStart();
+ const SCEV *Step = AR->getStepRecurrence(*SE);
+
+ // Check for a simple looking step prior to loop entry.
+ const SCEVAddExpr *SA = dyn_cast<SCEVAddExpr>(Start);
+ if (!SA)
+ return nullptr;
+
+ // Create an AddExpr for "PreStart" after subtracting Step. Full SCEV
+ // subtraction is expensive. For this purpose, perform a quick and dirty
+ // difference, by checking for Step in the operand list.
+ SmallVector<const SCEV *, 4> DiffOps;
+ for (const SCEV *Op : SA->operands())
+ if (Op != Step)
+ DiffOps.push_back(Op);
+
+ if (DiffOps.size() == SA->getNumOperands())
+ return nullptr;
+
+ // Try to prove `WrapType` (SCEV::FlagNSW or SCEV::FlagNUW) on `PreStart` +
+ // `Step`:
+
+ // 1. NSW/NUW flags on the step increment.
+ const SCEV *PreStart = SE->getAddExpr(DiffOps, SA->getNoWrapFlags());
+ const SCEVAddRecExpr *PreAR = dyn_cast<SCEVAddRecExpr>(
+ SE->getAddRecExpr(PreStart, Step, L, SCEV::FlagAnyWrap));
+
+ // "{S,+,X} is <nsw>/<nuw>" and "the backedge is taken at least once" implies
+ // "S+X does not sign/unsign-overflow".
+ //
+
+ const SCEV *BECount = SE->getBackedgeTakenCount(L);
+ if (PreAR && PreAR->getNoWrapFlags(WrapType) &&
+ !isa<SCEVCouldNotCompute>(BECount) && SE->isKnownPositive(BECount))
+ return PreStart;
+
+ // 2. Direct overflow check on the step operation's expression.
+ unsigned BitWidth = SE->getTypeSizeInBits(AR->getType());
+ Type *WideTy = IntegerType::get(SE->getContext(), BitWidth * 2);
+ const SCEV *OperandExtendedStart =
+ SE->getAddExpr((SE->*GetExtendExpr)(PreStart, WideTy),
+ (SE->*GetExtendExpr)(Step, WideTy));
+ if ((SE->*GetExtendExpr)(Start, WideTy) == OperandExtendedStart) {
+ if (PreAR && AR->getNoWrapFlags(WrapType)) {
+ // If we know `AR` == {`PreStart`+`Step`,+,`Step`} is `WrapType` (FlagNSW
+ // or FlagNUW) and that `PreStart` + `Step` is `WrapType` too, then
+ // `PreAR` == {`PreStart`,+,`Step`} is also `WrapType`. Cache this fact.
+ const_cast<SCEVAddRecExpr *>(PreAR)->setNoWrapFlags(WrapType);
+ }
+ return PreStart;
+ }
+
+ // 3. Loop precondition.
+ ICmpInst::Predicate Pred;
+ const SCEV *OverflowLimit =
+ ExtendOpTraits<ExtendOpTy>::getOverflowLimitForStep(Step, &Pred, SE);
+
+ if (OverflowLimit &&
+ SE->isLoopEntryGuardedByCond(L, Pred, PreStart, OverflowLimit)) {
+ return PreStart;
+ }
+ return nullptr;
+}
+
+// Get the normalized zero or sign extended expression for this AddRec's Start.
+template <typename ExtendOpTy>
+static const SCEV *getExtendAddRecStart(const SCEVAddRecExpr *AR, Type *Ty,
+ ScalarEvolution *SE) {
+ auto GetExtendExpr = ExtendOpTraits<ExtendOpTy>::GetExtendExpr;
+
+ const SCEV *PreStart = getPreStartForExtend<ExtendOpTy>(AR, Ty, SE);
+ if (!PreStart)
+ return (SE->*GetExtendExpr)(AR->getStart(), Ty);
+
+ return SE->getAddExpr((SE->*GetExtendExpr)(AR->getStepRecurrence(*SE), Ty),
+ (SE->*GetExtendExpr)(PreStart, Ty));
+}
+
+// Try to prove away overflow by looking at "nearby" add recurrences. A
+// motivating example for this rule: if we know `{0,+,4}` is `ult` `-1` and it
+// does not itself wrap then we can conclude that `{1,+,4}` is `nuw`.
+//
+// Formally:
+//
+// {S,+,X} == {S-T,+,X} + T
+// => Ext({S,+,X}) == Ext({S-T,+,X} + T)
+//
+// If ({S-T,+,X} + T) does not overflow ... (1)
+//
+// RHS == Ext({S-T,+,X} + T) == Ext({S-T,+,X}) + Ext(T)
+//
+// If {S-T,+,X} does not overflow ... (2)
+//
+// RHS == Ext({S-T,+,X}) + Ext(T) == {Ext(S-T),+,Ext(X)} + Ext(T)
+// == {Ext(S-T)+Ext(T),+,Ext(X)}
+//
+// If (S-T)+T does not overflow ... (3)
+//
+// RHS == {Ext(S-T)+Ext(T),+,Ext(X)} == {Ext(S-T+T),+,Ext(X)}
+// == {Ext(S),+,Ext(X)} == LHS
+//
+// Thus, if (1), (2) and (3) are true for some T, then
+// Ext({S,+,X}) == {Ext(S),+,Ext(X)}
+//
+// (3) is implied by (1) -- "(S-T)+T does not overflow" is simply "({S-T,+,X}+T)
+// does not overflow" restricted to the 0th iteration. Therefore we only need
+// to check for (1) and (2).
+//
+// In the current context, S is `Start`, X is `Step`, Ext is `ExtendOpTy` and T
+// is `Delta` (defined below).
+//
+template <typename ExtendOpTy>
+bool ScalarEvolution::proveNoWrapByVaryingStart(const SCEV *Start,
+ const SCEV *Step,
+ const Loop *L) {
+ auto WrapType = ExtendOpTraits<ExtendOpTy>::WrapType;
+
+ // We restrict `Start` to a constant to prevent SCEV from spending too much
+ // time here. It is correct (but more expensive) to continue with a
+ // non-constant `Start` and do a general SCEV subtraction to compute
+ // `PreStart` below.
+ //
+ const SCEVConstant *StartC = dyn_cast<SCEVConstant>(Start);
+ if (!StartC)
+ return false;
+
+ APInt StartAI = StartC->getValue()->getValue();
+
+ for (unsigned Delta : {-2, -1, 1, 2}) {
+ const SCEV *PreStart = getConstant(StartAI - Delta);
+
+ // Give up if we don't already have the add recurrence we need because
+ // actually constructing an add recurrence is relatively expensive.
+ const SCEVAddRecExpr *PreAR = [&]() {
+ FoldingSetNodeID ID;
+ ID.AddInteger(scAddRecExpr);
+ ID.AddPointer(PreStart);
+ ID.AddPointer(Step);
+ ID.AddPointer(L);
+ void *IP = nullptr;
+ return static_cast<SCEVAddRecExpr *>(
+ this->UniqueSCEVs.FindNodeOrInsertPos(ID, IP));
+ }();
+
+ if (PreAR && PreAR->getNoWrapFlags(WrapType)) { // proves (2)
+ const SCEV *DeltaS = getConstant(StartC->getType(), Delta);
+ ICmpInst::Predicate Pred = ICmpInst::BAD_ICMP_PREDICATE;
+ const SCEV *Limit = ExtendOpTraits<ExtendOpTy>::getOverflowLimitForStep(
+ DeltaS, &Pred, this);
+ if (Limit && isKnownPredicate(Pred, PreAR, Limit)) // proves (1)
+ return true;
+ }
+ }
+
+ return false;
+}
+
const SCEV *ScalarEvolution::getZeroExtendExpr(const SCEV *Op,
Type *Ty) {
assert(getTypeSizeInBits(Op->getType()) < getTypeSizeInBits(Ty) &&
// If we have special knowledge that this addrec won't overflow,
// we don't need to do any further analysis.
if (AR->getNoWrapFlags(SCEV::FlagNUW))
- return getAddRecExpr(getZeroExtendExpr(Start, Ty),
- getZeroExtendExpr(Step, Ty),
- L, AR->getNoWrapFlags());
+ return getAddRecExpr(
+ getExtendAddRecStart<SCEVZeroExtendExpr>(AR, Ty, this),
+ getZeroExtendExpr(Step, Ty), L, AR->getNoWrapFlags());
// Check whether the backedge-taken count is SCEVCouldNotCompute.
// Note that this serves two purposes: It filters out loops that are
// Cache knowledge of AR NUW, which is propagated to this AddRec.
const_cast<SCEVAddRecExpr *>(AR)->setNoWrapFlags(SCEV::FlagNUW);
// Return the expression with the addrec on the outside.
- return getAddRecExpr(getZeroExtendExpr(Start, Ty),
- getZeroExtendExpr(Step, Ty),
- L, AR->getNoWrapFlags());
+ return getAddRecExpr(
+ getExtendAddRecStart<SCEVZeroExtendExpr>(AR, Ty, this),
+ getZeroExtendExpr(Step, Ty), L, AR->getNoWrapFlags());
}
// Similar to above, only this time treat the step value as signed.
// This covers loops that count down.
// Negative step causes unsigned wrap, but it still can't self-wrap.
const_cast<SCEVAddRecExpr *>(AR)->setNoWrapFlags(SCEV::FlagNW);
// Return the expression with the addrec on the outside.
- return getAddRecExpr(getZeroExtendExpr(Start, Ty),
- getSignExtendExpr(Step, Ty),
- L, AR->getNoWrapFlags());
+ return getAddRecExpr(
+ getExtendAddRecStart<SCEVZeroExtendExpr>(AR, Ty, this),
+ getSignExtendExpr(Step, Ty), L, AR->getNoWrapFlags());
}
}
// Cache knowledge of AR NUW, which is propagated to this AddRec.
const_cast<SCEVAddRecExpr *>(AR)->setNoWrapFlags(SCEV::FlagNUW);
// Return the expression with the addrec on the outside.
- return getAddRecExpr(getZeroExtendExpr(Start, Ty),
- getZeroExtendExpr(Step, Ty),
- L, AR->getNoWrapFlags());
+ return getAddRecExpr(
+ getExtendAddRecStart<SCEVZeroExtendExpr>(AR, Ty, this),
+ getZeroExtendExpr(Step, Ty), L, AR->getNoWrapFlags());
}
} else if (isKnownNegative(Step)) {
const SCEV *N = getConstant(APInt::getMaxValue(BitWidth) -
// Negative step causes unsigned wrap, but it still can't self-wrap.
const_cast<SCEVAddRecExpr *>(AR)->setNoWrapFlags(SCEV::FlagNW);
// Return the expression with the addrec on the outside.
- return getAddRecExpr(getZeroExtendExpr(Start, Ty),
- getSignExtendExpr(Step, Ty),
- L, AR->getNoWrapFlags());
+ return getAddRecExpr(
+ getExtendAddRecStart<SCEVZeroExtendExpr>(AR, Ty, this),
+ getSignExtendExpr(Step, Ty), L, AR->getNoWrapFlags());
}
}
}
+
+ if (proveNoWrapByVaryingStart<SCEVZeroExtendExpr>(Start, Step, L)) {
+ const_cast<SCEVAddRecExpr *>(AR)->setNoWrapFlags(SCEV::FlagNUW);
+ return getAddRecExpr(
+ getExtendAddRecStart<SCEVZeroExtendExpr>(AR, Ty, this),
+ getZeroExtendExpr(Step, Ty), L, AR->getNoWrapFlags());
+ }
}
// The cast wasn't folded; create an explicit cast node.
return S;
}
-// Get the limit of a recurrence such that incrementing by Step cannot cause
-// signed overflow as long as the value of the recurrence within the loop does
-// not exceed this limit before incrementing.
-static const SCEV *getOverflowLimitForStep(const SCEV *Step,
- ICmpInst::Predicate *Pred,
- ScalarEvolution *SE) {
- unsigned BitWidth = SE->getTypeSizeInBits(Step->getType());
- if (SE->isKnownPositive(Step)) {
- *Pred = ICmpInst::ICMP_SLT;
- return SE->getConstant(APInt::getSignedMinValue(BitWidth) -
- SE->getSignedRange(Step).getSignedMax());
- }
- if (SE->isKnownNegative(Step)) {
- *Pred = ICmpInst::ICMP_SGT;
- return SE->getConstant(APInt::getSignedMaxValue(BitWidth) -
- SE->getSignedRange(Step).getSignedMin());
- }
- return nullptr;
-}
-
-// The recurrence AR has been shown to have no signed wrap. Typically, if we can
-// prove NSW for AR, then we can just as easily prove NSW for its preincrement
-// or postincrement sibling. This allows normalizing a sign extended AddRec as
-// such: {sext(Step + Start),+,Step} => {(Step + sext(Start),+,Step} As a
-// result, the expression "Step + sext(PreIncAR)" is congruent with
-// "sext(PostIncAR)"
-static const SCEV *getPreStartForSignExtend(const SCEVAddRecExpr *AR,
- Type *Ty,
- ScalarEvolution *SE) {
- const Loop *L = AR->getLoop();
- const SCEV *Start = AR->getStart();
- const SCEV *Step = AR->getStepRecurrence(*SE);
-
- // Check for a simple looking step prior to loop entry.
- const SCEVAddExpr *SA = dyn_cast<SCEVAddExpr>(Start);
- if (!SA)
- return nullptr;
-
- // Create an AddExpr for "PreStart" after subtracting Step. Full SCEV
- // subtraction is expensive. For this purpose, perform a quick and dirty
- // difference, by checking for Step in the operand list.
- SmallVector<const SCEV *, 4> DiffOps;
- for (const SCEV *Op : SA->operands())
- if (Op != Step)
- DiffOps.push_back(Op);
-
- if (DiffOps.size() == SA->getNumOperands())
- return nullptr;
-
- // This is a postinc AR. Check for overflow on the preinc recurrence using the
- // same three conditions that getSignExtendedExpr checks.
-
- // 1. NSW flags on the step increment.
- const SCEV *PreStart = SE->getAddExpr(DiffOps, SA->getNoWrapFlags());
- const SCEVAddRecExpr *PreAR = dyn_cast<SCEVAddRecExpr>(
- SE->getAddRecExpr(PreStart, Step, L, SCEV::FlagAnyWrap));
-
- if (PreAR && PreAR->getNoWrapFlags(SCEV::FlagNSW))
- return PreStart;
-
- // 2. Direct overflow check on the step operation's expression.
- unsigned BitWidth = SE->getTypeSizeInBits(AR->getType());
- Type *WideTy = IntegerType::get(SE->getContext(), BitWidth * 2);
- const SCEV *OperandExtendedStart =
- SE->getAddExpr(SE->getSignExtendExpr(PreStart, WideTy),
- SE->getSignExtendExpr(Step, WideTy));
- if (SE->getSignExtendExpr(Start, WideTy) == OperandExtendedStart) {
- // Cache knowledge of PreAR NSW.
- if (PreAR)
- const_cast<SCEVAddRecExpr *>(PreAR)->setNoWrapFlags(SCEV::FlagNSW);
- // FIXME: this optimization needs a unit test
- DEBUG(dbgs() << "SCEV: untested prestart overflow check\n");
- return PreStart;
- }
-
- // 3. Loop precondition.
- ICmpInst::Predicate Pred;
- const SCEV *OverflowLimit = getOverflowLimitForStep(Step, &Pred, SE);
-
- if (OverflowLimit &&
- SE->isLoopEntryGuardedByCond(L, Pred, PreStart, OverflowLimit)) {
- return PreStart;
- }
- return nullptr;
-}
-
-// Get the normalized sign-extended expression for this AddRec's Start.
-static const SCEV *getSignExtendAddRecStart(const SCEVAddRecExpr *AR,
- Type *Ty,
- ScalarEvolution *SE) {
- const SCEV *PreStart = getPreStartForSignExtend(AR, Ty, SE);
- if (!PreStart)
- return SE->getSignExtendExpr(AR->getStart(), Ty);
-
- return SE->getAddExpr(SE->getSignExtendExpr(AR->getStepRecurrence(*SE), Ty),
- SE->getSignExtendExpr(PreStart, Ty));
-}
-
const SCEV *ScalarEvolution::getSignExtendExpr(const SCEV *Op,
Type *Ty) {
assert(getTypeSizeInBits(Op->getType()) < getTypeSizeInBits(Ty) &&
// If we have special knowledge that this addrec won't overflow,
// we don't need to do any further analysis.
if (AR->getNoWrapFlags(SCEV::FlagNSW))
- return getAddRecExpr(getSignExtendAddRecStart(AR, Ty, this),
- getSignExtendExpr(Step, Ty),
- L, SCEV::FlagNSW);
+ return getAddRecExpr(
+ getExtendAddRecStart<SCEVSignExtendExpr>(AR, Ty, this),
+ getSignExtendExpr(Step, Ty), L, SCEV::FlagNSW);
// Check whether the backedge-taken count is SCEVCouldNotCompute.
// Note that this serves two purposes: It filters out loops that are
// Cache knowledge of AR NSW, which is propagated to this AddRec.
const_cast<SCEVAddRecExpr *>(AR)->setNoWrapFlags(SCEV::FlagNSW);
// Return the expression with the addrec on the outside.
- return getAddRecExpr(getSignExtendAddRecStart(AR, Ty, this),
- getSignExtendExpr(Step, Ty),
- L, AR->getNoWrapFlags());
+ return getAddRecExpr(
+ getExtendAddRecStart<SCEVSignExtendExpr>(AR, Ty, this),
+ getSignExtendExpr(Step, Ty), L, AR->getNoWrapFlags());
}
// Similar to above, only this time treat the step value as unsigned.
// This covers loops that count up with an unsigned step.
getMulExpr(WideMaxBECount,
getZeroExtendExpr(Step, WideTy)));
if (SAdd == OperandExtendedAdd) {
- // Cache knowledge of AR NSW, which is propagated to this AddRec.
- const_cast<SCEVAddRecExpr *>(AR)->setNoWrapFlags(SCEV::FlagNSW);
+ // If AR wraps around then
+ //
+ // abs(Step) * MaxBECount > unsigned-max(AR->getType())
+ // => SAdd != OperandExtendedAdd
+ //
+ // Thus (AR is not NW => SAdd != OperandExtendedAdd) <=>
+ // (SAdd == OperandExtendedAdd => AR is NW)
+
+ const_cast<SCEVAddRecExpr *>(AR)->setNoWrapFlags(SCEV::FlagNW);
+
// Return the expression with the addrec on the outside.
- return getAddRecExpr(getSignExtendAddRecStart(AR, Ty, this),
- getZeroExtendExpr(Step, Ty),
- L, AR->getNoWrapFlags());
+ return getAddRecExpr(
+ getExtendAddRecStart<SCEVSignExtendExpr>(AR, Ty, this),
+ getZeroExtendExpr(Step, Ty), L, AR->getNoWrapFlags());
}
}
// with the start value and the backedge is guarded by a comparison
// with the post-inc value, the addrec is safe.
ICmpInst::Predicate Pred;
- const SCEV *OverflowLimit = getOverflowLimitForStep(Step, &Pred, this);
+ const SCEV *OverflowLimit =
+ getSignedOverflowLimitForStep(Step, &Pred, this);
if (OverflowLimit &&
(isLoopBackedgeGuardedByCond(L, Pred, AR, OverflowLimit) ||
(isLoopEntryGuardedByCond(L, Pred, Start, OverflowLimit) &&
OverflowLimit)))) {
// Cache knowledge of AR NSW, then propagate NSW to the wide AddRec.
const_cast<SCEVAddRecExpr *>(AR)->setNoWrapFlags(SCEV::FlagNSW);
- return getAddRecExpr(getSignExtendAddRecStart(AR, Ty, this),
- getSignExtendExpr(Step, Ty),
- L, AR->getNoWrapFlags());
+ return getAddRecExpr(
+ getExtendAddRecStart<SCEVSignExtendExpr>(AR, Ty, this),
+ getSignExtendExpr(Step, Ty), L, AR->getNoWrapFlags());
}
}
// If Start and Step are constants, check if we can apply this
return getAddExpr(Start, getSignExtendExpr(NewAR, Ty));
}
}
+
+ if (proveNoWrapByVaryingStart<SCEVSignExtendExpr>(Start, Step, L)) {
+ const_cast<SCEVAddRecExpr *>(AR)->setNoWrapFlags(SCEV::FlagNSW);
+ return getAddRecExpr(
+ getExtendAddRecStart<SCEVSignExtendExpr>(AR, Ty, this),
+ getSignExtendExpr(Step, Ty), L, AR->getNoWrapFlags());
+ }
}
// The cast wasn't folded; create an explicit cast node.
};
}
+// We're trying to construct a SCEV of type `Type' with `Ops' as operands and
+// `OldFlags' as can't-wrap behavior. Infer a more aggressive set of
+// can't-overflow flags for the operation if possible.
+static SCEV::NoWrapFlags
+StrengthenNoWrapFlags(ScalarEvolution *SE, SCEVTypes Type,
+ const SmallVectorImpl<const SCEV *> &Ops,
+ SCEV::NoWrapFlags OldFlags) {
+ using namespace std::placeholders;
+
+ bool CanAnalyze =
+ Type == scAddExpr || Type == scAddRecExpr || Type == scMulExpr;
+ (void)CanAnalyze;
+ assert(CanAnalyze && "don't call from other places!");
+
+ int SignOrUnsignMask = SCEV::FlagNUW | SCEV::FlagNSW;
+ SCEV::NoWrapFlags SignOrUnsignWrap =
+ ScalarEvolution::maskFlags(OldFlags, SignOrUnsignMask);
+
+ // If FlagNSW is true and all the operands are non-negative, infer FlagNUW.
+ auto IsKnownNonNegative =
+ std::bind(std::mem_fn(&ScalarEvolution::isKnownNonNegative), SE, _1);
+
+ if (SignOrUnsignWrap == SCEV::FlagNSW &&
+ std::all_of(Ops.begin(), Ops.end(), IsKnownNonNegative))
+ return ScalarEvolution::setFlags(OldFlags,
+ (SCEV::NoWrapFlags)SignOrUnsignMask);
+
+ return OldFlags;
+}
+
/// getAddExpr - Get a canonical add expression, or something simpler if
/// possible.
const SCEV *ScalarEvolution::getAddExpr(SmallVectorImpl<const SCEV *> &Ops,
"SCEVAddExpr operand types don't match!");
#endif
- // If FlagNSW is true and all the operands are non-negative, infer FlagNUW.
- // And vice-versa.
- int SignOrUnsignMask = SCEV::FlagNUW | SCEV::FlagNSW;
- SCEV::NoWrapFlags SignOrUnsignWrap = maskFlags(Flags, SignOrUnsignMask);
- if (SignOrUnsignWrap && (SignOrUnsignWrap != SignOrUnsignMask)) {
- bool All = true;
- for (SmallVectorImpl<const SCEV *>::const_iterator I = Ops.begin(),
- E = Ops.end(); I != E; ++I)
- if (!isKnownNonNegative(*I)) {
- All = false;
- break;
- }
- if (All) Flags = setFlags(Flags, (SCEV::NoWrapFlags)SignOrUnsignMask);
- }
+ Flags = StrengthenNoWrapFlags(this, scAddExpr, Ops, Flags);
// Sort by complexity, this groups all similar expression types together.
GroupByComplexity(Ops, LI);
return r;
}
+/// Determine if any of the operands in this SCEV are a constant or if
+/// any of the add or multiply expressions in this SCEV contain a constant.
+static bool containsConstantSomewhere(const SCEV *StartExpr) {
+ SmallVector<const SCEV *, 4> Ops;
+ Ops.push_back(StartExpr);
+ while (!Ops.empty()) {
+ const SCEV *CurrentExpr = Ops.pop_back_val();
+ if (isa<SCEVConstant>(*CurrentExpr))
+ return true;
+
+ if (isa<SCEVAddExpr>(*CurrentExpr) || isa<SCEVMulExpr>(*CurrentExpr)) {
+ const auto *CurrentNAry = cast<SCEVNAryExpr>(CurrentExpr);
+ Ops.append(CurrentNAry->op_begin(), CurrentNAry->op_end());
+ }
+ }
+ return false;
+}
+
/// getMulExpr - Get a canonical multiply expression, or something simpler if
/// possible.
const SCEV *ScalarEvolution::getMulExpr(SmallVectorImpl<const SCEV *> &Ops,
"SCEVMulExpr operand types don't match!");
#endif
- // If FlagNSW is true and all the operands are non-negative, infer FlagNUW.
- // And vice-versa.
- int SignOrUnsignMask = SCEV::FlagNUW | SCEV::FlagNSW;
- SCEV::NoWrapFlags SignOrUnsignWrap = maskFlags(Flags, SignOrUnsignMask);
- if (SignOrUnsignWrap && (SignOrUnsignWrap != SignOrUnsignMask)) {
- bool All = true;
- for (SmallVectorImpl<const SCEV *>::const_iterator I = Ops.begin(),
- E = Ops.end(); I != E; ++I)
- if (!isKnownNonNegative(*I)) {
- All = false;
- break;
- }
- if (All) Flags = setFlags(Flags, (SCEV::NoWrapFlags)SignOrUnsignMask);
- }
+ Flags = StrengthenNoWrapFlags(this, scMulExpr, Ops, Flags);
// Sort by complexity, this groups all similar expression types together.
GroupByComplexity(Ops, LI);
// C1*(C2+V) -> C1*C2 + C1*V
if (Ops.size() == 2)
- if (const SCEVAddExpr *Add = dyn_cast<SCEVAddExpr>(Ops[1]))
- if (Add->getNumOperands() == 2 &&
- isa<SCEVConstant>(Add->getOperand(0)))
- return getAddExpr(getMulExpr(LHSC, Add->getOperand(0)),
- getMulExpr(LHSC, Add->getOperand(1)));
+ if (const SCEVAddExpr *Add = dyn_cast<SCEVAddExpr>(Ops[1]))
+ // If any of Add's ops are Adds or Muls with a constant,
+ // apply this transformation as well.
+ if (Add->getNumOperands() == 2)
+ if (containsConstantSomewhere(Add))
+ return getAddExpr(getMulExpr(LHSC, Add->getOperand(0)),
+ getMulExpr(LHSC, Add->getOperand(1)));
++Idx;
while (const SCEVConstant *RHSC = dyn_cast<SCEVConstant>(Ops[Idx])) {
// meaningful BE count at this point (and if we don't, we'd be stuck
// with a SCEVCouldNotCompute as the cached BE count).
- // If FlagNSW is true and all the operands are non-negative, infer FlagNUW.
- // And vice-versa.
- int SignOrUnsignMask = SCEV::FlagNUW | SCEV::FlagNSW;
- SCEV::NoWrapFlags SignOrUnsignWrap = maskFlags(Flags, SignOrUnsignMask);
- if (SignOrUnsignWrap && (SignOrUnsignWrap != SignOrUnsignMask)) {
- bool All = true;
- for (SmallVectorImpl<const SCEV *>::const_iterator I = Operands.begin(),
- E = Operands.end(); I != E; ++I)
- if (!isKnownNonNegative(*I)) {
- All = false;
- break;
- }
- if (All) Flags = setFlags(Flags, (SCEV::NoWrapFlags)SignOrUnsignMask);
- }
+ Flags = StrengthenNoWrapFlags(this, scAddRecExpr, Operands, Flags);
// Canonicalize nested AddRecs in by nesting them in order of loop depth.
if (const SCEVAddRecExpr *NestedAR = dyn_cast<SCEVAddRecExpr>(Operands[0])) {
return S;
}
+const SCEV *
+ScalarEvolution::getGEPExpr(Type *PointeeType, const SCEV *BaseExpr,
+ const SmallVectorImpl<const SCEV *> &IndexExprs,
+ bool InBounds) {
+ // getSCEV(Base)->getType() has the same address space as Base->getType()
+ // because SCEV::getType() preserves the address space.
+ Type *IntPtrTy = getEffectiveSCEVType(BaseExpr->getType());
+ // FIXME(PR23527): Don't blindly transfer the inbounds flag from the GEP
+ // instruction to its SCEV, because the Instruction may be guarded by control
+ // flow and the no-overflow bits may not be valid for the expression in any
+ // context.
+ SCEV::NoWrapFlags Wrap = InBounds ? SCEV::FlagNSW : SCEV::FlagAnyWrap;
+
+ const SCEV *TotalOffset = getConstant(IntPtrTy, 0);
+ // The address space is unimportant. The first thing we do on CurTy is getting
+ // its element type.
+ Type *CurTy = PointerType::getUnqual(PointeeType);
+ for (const SCEV *IndexExpr : IndexExprs) {
+ // Compute the (potentially symbolic) offset in bytes for this index.
+ if (StructType *STy = dyn_cast<StructType>(CurTy)) {
+ // For a struct, add the member offset.
+ ConstantInt *Index = cast<SCEVConstant>(IndexExpr)->getValue();
+ unsigned FieldNo = Index->getZExtValue();
+ const SCEV *FieldOffset = getOffsetOfExpr(IntPtrTy, STy, FieldNo);
+
+ // Add the field offset to the running total offset.
+ TotalOffset = getAddExpr(TotalOffset, FieldOffset);
+
+ // Update CurTy to the type of the field at Index.
+ CurTy = STy->getTypeAtIndex(Index);
+ } else {
+ // Update CurTy to its element type.
+ CurTy = cast<SequentialType>(CurTy)->getElementType();
+ // For an array, add the element offset, explicitly scaled.
+ const SCEV *ElementSize = getSizeOfExpr(IntPtrTy, CurTy);
+ // Getelementptr indices are signed.
+ IndexExpr = getTruncateOrSignExtend(IndexExpr, IntPtrTy);
+
+ // Multiply the index by the element size to compute the element offset.
+ const SCEV *LocalOffset = getMulExpr(IndexExpr, ElementSize, Wrap);
+
+ // Add the element offset to the running total offset.
+ TotalOffset = getAddExpr(TotalOffset, LocalOffset);
+ }
+ }
+
+ // Add the total offset from all the GEP indices to the base.
+ return getAddExpr(BaseExpr, TotalOffset, Wrap);
+}
+
const SCEV *ScalarEvolution::getSMaxExpr(const SCEV *LHS,
const SCEV *RHS) {
SmallVector<const SCEV *, 2> Ops;
}
const SCEV *ScalarEvolution::getSizeOfExpr(Type *IntTy, Type *AllocTy) {
- // If we have DataLayout, we can bypass creating a target-independent
+ // We can bypass creating a target-independent
// constant expression and then folding it back into a ConstantInt.
// This is just a compile-time optimization.
- if (DL)
- return getConstant(IntTy, DL->getTypeAllocSize(AllocTy));
-
- Constant *C = ConstantExpr::getSizeOf(AllocTy);
- if (ConstantExpr *CE = dyn_cast<ConstantExpr>(C))
- if (Constant *Folded = ConstantFoldConstantExpression(CE, DL, TLI))
- C = Folded;
- Type *Ty = getEffectiveSCEVType(PointerType::getUnqual(AllocTy));
- assert(Ty == IntTy && "Effective SCEV type doesn't match");
- return getTruncateOrZeroExtend(getSCEV(C), Ty);
+ return getConstant(IntTy,
+ F->getParent()->getDataLayout().getTypeAllocSize(AllocTy));
}
const SCEV *ScalarEvolution::getOffsetOfExpr(Type *IntTy,
StructType *STy,
unsigned FieldNo) {
- // If we have DataLayout, we can bypass creating a target-independent
+ // We can bypass creating a target-independent
// constant expression and then folding it back into a ConstantInt.
// This is just a compile-time optimization.
- if (DL) {
- return getConstant(IntTy,
- DL->getStructLayout(STy)->getElementOffset(FieldNo));
- }
-
- Constant *C = ConstantExpr::getOffsetOf(STy, FieldNo);
- if (ConstantExpr *CE = dyn_cast<ConstantExpr>(C))
- if (Constant *Folded = ConstantFoldConstantExpression(CE, DL, TLI))
- C = Folded;
-
- Type *Ty = getEffectiveSCEVType(PointerType::getUnqual(STy));
- return getTruncateOrZeroExtend(getSCEV(C), Ty);
+ return getConstant(
+ IntTy,
+ F->getParent()->getDataLayout().getStructLayout(STy)->getElementOffset(
+ FieldNo));
}
const SCEV *ScalarEvolution::getUnknown(Value *V) {
/// for which isSCEVable must return true.
uint64_t ScalarEvolution::getTypeSizeInBits(Type *Ty) const {
assert(isSCEVable(Ty) && "Type is not SCEVable!");
-
- // If we have a DataLayout, use it!
- if (DL)
- return DL->getTypeSizeInBits(Ty);
-
- // Integer types have fixed sizes.
- if (Ty->isIntegerTy())
- return Ty->getPrimitiveSizeInBits();
-
- // The only other support type is pointer. Without DataLayout, conservatively
- // assume pointers are 64-bit.
- assert(Ty->isPointerTy() && "isSCEVable permitted a non-SCEVable type!");
- return 64;
+ return F->getParent()->getDataLayout().getTypeSizeInBits(Ty);
}
/// getEffectiveSCEVType - Return a type with the same bitwidth as
// The only other support type is pointer.
assert(Ty->isPointerTy() && "Unexpected non-pointer non-integer type!");
-
- if (DL)
- return DL->getIntPtrType(Ty);
-
- // Without DataLayout, conservatively assume pointers are 64-bit.
- return Type::getInt64Ty(getContext());
+ return F->getParent()->getDataLayout().getIntPtrType(Ty);
}
const SCEV *ScalarEvolution::getCouldNotCompute() {
if (LHS == RHS)
return getConstant(LHS->getType(), 0);
- // X - Y --> X + -Y
- return getAddExpr(LHS, getNegativeSCEV(RHS), Flags);
+ // X - Y --> X + -Y.
+ // X -(nsw || nuw) Y --> X + -Y.
+ return getAddExpr(LHS, getNegativeSCEV(RHS));
}
/// getTruncateOrZeroExtend - Return a SCEV corresponding to a conversion of the
Visited.insert(PN);
while (!Worklist.empty()) {
Instruction *I = Worklist.pop_back_val();
- if (!Visited.insert(I)) continue;
+ if (!Visited.insert(I).second)
+ continue;
ValueExprMapType::iterator It =
ValueExprMap.find_as(static_cast<Value *>(I));
// If the increment doesn't overflow, then neither the addrec nor
// the post-increment will overflow.
if (const AddOperator *OBO = dyn_cast<AddOperator>(BEValueV)) {
- if (OBO->hasNoUnsignedWrap())
- Flags = setFlags(Flags, SCEV::FlagNUW);
- if (OBO->hasNoSignedWrap())
- Flags = setFlags(Flags, SCEV::FlagNSW);
+ if (OBO->getOperand(0) == PN) {
+ if (OBO->hasNoUnsignedWrap())
+ Flags = setFlags(Flags, SCEV::FlagNUW);
+ if (OBO->hasNoSignedWrap())
+ Flags = setFlags(Flags, SCEV::FlagNSW);
+ }
} else if (GEPOperator *GEP = dyn_cast<GEPOperator>(BEValueV)) {
// If the increment is an inbounds GEP, then we know the address
// space cannot be wrapped around. We cannot make any guarantee
// unsigned but we may have a negative index from the base
// pointer. We can guarantee that no unsigned wrap occurs if the
// indices form a positive value.
- if (GEP->isInBounds()) {
+ if (GEP->isInBounds() && GEP->getOperand(0) == PN) {
Flags = setFlags(Flags, SCEV::FlagNW);
const SCEV *Ptr = getSCEV(GEP->getPointerOperand());
if (isKnownPositive(getMinusSCEV(getSCEV(GEP), Ptr)))
Flags = setFlags(Flags, SCEV::FlagNUW);
}
- } else if (const SubOperator *OBO =
- dyn_cast<SubOperator>(BEValueV)) {
- if (OBO->hasNoUnsignedWrap())
- Flags = setFlags(Flags, SCEV::FlagNUW);
- if (OBO->hasNoSignedWrap())
- Flags = setFlags(Flags, SCEV::FlagNSW);
+
+ // We cannot transfer nuw and nsw flags from subtraction
+ // operations -- sub nuw X, Y is not the same as add nuw X, -Y
+ // for instance.
}
const SCEV *StartVal = getSCEV(StartValueV);
// PHI's incoming blocks are in a different loop, in which case doing so
// risks breaking LCSSA form. Instcombine would normally zap these, but
// it doesn't have DominatorTree information, so it may miss cases.
- if (Value *V = SimplifyInstruction(PN, DL, TLI, DT, AT))
+ if (Value *V =
+ SimplifyInstruction(PN, F->getParent()->getDataLayout(), TLI, DT, AC))
if (LI->replacementPreservesLCSSAForm(PN, V))
return getSCEV(V);
/// operations. This allows them to be analyzed by regular SCEV code.
///
const SCEV *ScalarEvolution::createNodeForGEP(GEPOperator *GEP) {
- Type *IntPtrTy = getEffectiveSCEVType(GEP->getType());
Value *Base = GEP->getOperand(0);
// Don't attempt to analyze GEPs over unsized objects.
if (!Base->getType()->getPointerElementType()->isSized())
return getUnknown(GEP);
- // Don't blindly transfer the inbounds flag from the GEP instruction to the
- // Add expression, because the Instruction may be guarded by control flow
- // and the no-overflow bits may not be valid for the expression in any
- // context.
- SCEV::NoWrapFlags Wrap = GEP->isInBounds() ? SCEV::FlagNSW : SCEV::FlagAnyWrap;
-
- const SCEV *TotalOffset = getConstant(IntPtrTy, 0);
- gep_type_iterator GTI = gep_type_begin(GEP);
- for (GetElementPtrInst::op_iterator I = std::next(GEP->op_begin()),
- E = GEP->op_end();
- I != E; ++I) {
- Value *Index = *I;
- // Compute the (potentially symbolic) offset in bytes for this index.
- if (StructType *STy = dyn_cast<StructType>(*GTI++)) {
- // For a struct, add the member offset.
- unsigned FieldNo = cast<ConstantInt>(Index)->getZExtValue();
- const SCEV *FieldOffset = getOffsetOfExpr(IntPtrTy, STy, FieldNo);
-
- // Add the field offset to the running total offset.
- TotalOffset = getAddExpr(TotalOffset, FieldOffset);
- } else {
- // For an array, add the element offset, explicitly scaled.
- const SCEV *ElementSize = getSizeOfExpr(IntPtrTy, *GTI);
- const SCEV *IndexS = getSCEV(Index);
- // Getelementptr indices are signed.
- IndexS = getTruncateOrSignExtend(IndexS, IntPtrTy);
-
- // Multiply the index by the element size to compute the element offset.
- const SCEV *LocalOffset = getMulExpr(IndexS, ElementSize, Wrap);
-
- // Add the element offset to the running total offset.
- TotalOffset = getAddExpr(TotalOffset, LocalOffset);
- }
- }
-
- // Get the SCEV for the GEP base.
- const SCEV *BaseS = getSCEV(Base);
-
- // Add the total offset from all the GEP indices to the base.
- return getAddExpr(BaseS, TotalOffset, Wrap);
+ SmallVector<const SCEV *, 4> IndexExprs;
+ for (auto Index = GEP->idx_begin(); Index != GEP->idx_end(); ++Index)
+ IndexExprs.push_back(getSCEV(*Index));
+ return getGEPExpr(GEP->getSourceElementType(), getSCEV(Base), IndexExprs,
+ GEP->isInBounds());
}
/// GetMinTrailingZeros - Determine the minimum number of zero bits that S is
// For a SCEVUnknown, ask ValueTracking.
unsigned BitWidth = getTypeSizeInBits(U->getType());
APInt Zeros(BitWidth, 0), Ones(BitWidth, 0);
- computeKnownBits(U->getValue(), Zeros, Ones, DL, 0, AT, nullptr, DT);
+ computeKnownBits(U->getValue(), Zeros, Ones,
+ F->getParent()->getDataLayout(), 0, AC, nullptr, DT);
return Zeros.countTrailingOnes();
}
assert(NumRanges >= 1);
for (unsigned i = 0; i < NumRanges; ++i) {
- ConstantInt *Lower = cast<ConstantInt>(MD->getOperand(2*i + 0));
- ConstantInt *Upper = cast<ConstantInt>(MD->getOperand(2*i + 1));
+ ConstantInt *Lower =
+ mdconst::extract<ConstantInt>(MD->getOperand(2 * i + 0));
+ ConstantInt *Upper =
+ mdconst::extract<ConstantInt>(MD->getOperand(2 * i + 1));
ConstantRange Range(Lower->getValue(), Upper->getValue());
TotalRange = TotalRange.unionWith(Range);
}
return None;
}
-/// getUnsignedRange - Determine the unsigned range for a particular SCEV.
+/// getRange - Determine the range for a particular SCEV. If SignHint is
+/// HINT_RANGE_UNSIGNED (resp. HINT_RANGE_SIGNED) then getRange prefers ranges
+/// with a "cleaner" unsigned (resp. signed) representation.
///
ConstantRange
-ScalarEvolution::getUnsignedRange(const SCEV *S) {
+ScalarEvolution::getRange(const SCEV *S,
+ ScalarEvolution::RangeSignHint SignHint) {
+ DenseMap<const SCEV *, ConstantRange> &Cache =
+ SignHint == ScalarEvolution::HINT_RANGE_UNSIGNED ? UnsignedRanges
+ : SignedRanges;
+
// See if we've computed this range already.
- DenseMap<const SCEV *, ConstantRange>::iterator I = UnsignedRanges.find(S);
- if (I != UnsignedRanges.end())
+ DenseMap<const SCEV *, ConstantRange>::iterator I = Cache.find(S);
+ if (I != Cache.end())
return I->second;
if (const SCEVConstant *C = dyn_cast<SCEVConstant>(S))
- return setUnsignedRange(C, ConstantRange(C->getValue()->getValue()));
+ return setRange(C, SignHint, ConstantRange(C->getValue()->getValue()));
unsigned BitWidth = getTypeSizeInBits(S->getType());
ConstantRange ConservativeResult(BitWidth, /*isFullSet=*/true);
- // If the value has known zeros, the maximum unsigned value will have those
- // known zeros as well.
+ // If the value has known zeros, the maximum value will have those known zeros
+ // as well.
uint32_t TZ = GetMinTrailingZeros(S);
- if (TZ != 0)
- ConservativeResult =
- ConstantRange(APInt::getMinValue(BitWidth),
- APInt::getMaxValue(BitWidth).lshr(TZ).shl(TZ) + 1);
+ if (TZ != 0) {
+ if (SignHint == ScalarEvolution::HINT_RANGE_UNSIGNED)
+ ConservativeResult =
+ ConstantRange(APInt::getMinValue(BitWidth),
+ APInt::getMaxValue(BitWidth).lshr(TZ).shl(TZ) + 1);
+ else
+ ConservativeResult = ConstantRange(
+ APInt::getSignedMinValue(BitWidth),
+ APInt::getSignedMaxValue(BitWidth).ashr(TZ).shl(TZ) + 1);
+ }
if (const SCEVAddExpr *Add = dyn_cast<SCEVAddExpr>(S)) {
- ConstantRange X = getUnsignedRange(Add->getOperand(0));
+ ConstantRange X = getRange(Add->getOperand(0), SignHint);
for (unsigned i = 1, e = Add->getNumOperands(); i != e; ++i)
- X = X.add(getUnsignedRange(Add->getOperand(i)));
- return setUnsignedRange(Add, ConservativeResult.intersectWith(X));
+ X = X.add(getRange(Add->getOperand(i), SignHint));
+ return setRange(Add, SignHint, ConservativeResult.intersectWith(X));
}
if (const SCEVMulExpr *Mul = dyn_cast<SCEVMulExpr>(S)) {
- ConstantRange X = getUnsignedRange(Mul->getOperand(0));
+ ConstantRange X = getRange(Mul->getOperand(0), SignHint);
for (unsigned i = 1, e = Mul->getNumOperands(); i != e; ++i)
- X = X.multiply(getUnsignedRange(Mul->getOperand(i)));
- return setUnsignedRange(Mul, ConservativeResult.intersectWith(X));
+ X = X.multiply(getRange(Mul->getOperand(i), SignHint));
+ return setRange(Mul, SignHint, ConservativeResult.intersectWith(X));
}
if (const SCEVSMaxExpr *SMax = dyn_cast<SCEVSMaxExpr>(S)) {
- ConstantRange X = getUnsignedRange(SMax->getOperand(0));
+ ConstantRange X = getRange(SMax->getOperand(0), SignHint);
for (unsigned i = 1, e = SMax->getNumOperands(); i != e; ++i)
- X = X.smax(getUnsignedRange(SMax->getOperand(i)));
- return setUnsignedRange(SMax, ConservativeResult.intersectWith(X));
+ X = X.smax(getRange(SMax->getOperand(i), SignHint));
+ return setRange(SMax, SignHint, ConservativeResult.intersectWith(X));
}
if (const SCEVUMaxExpr *UMax = dyn_cast<SCEVUMaxExpr>(S)) {
- ConstantRange X = getUnsignedRange(UMax->getOperand(0));
+ ConstantRange X = getRange(UMax->getOperand(0), SignHint);
for (unsigned i = 1, e = UMax->getNumOperands(); i != e; ++i)
- X = X.umax(getUnsignedRange(UMax->getOperand(i)));
- return setUnsignedRange(UMax, ConservativeResult.intersectWith(X));
+ X = X.umax(getRange(UMax->getOperand(i), SignHint));
+ return setRange(UMax, SignHint, ConservativeResult.intersectWith(X));
}
if (const SCEVUDivExpr *UDiv = dyn_cast<SCEVUDivExpr>(S)) {
- ConstantRange X = getUnsignedRange(UDiv->getLHS());
- ConstantRange Y = getUnsignedRange(UDiv->getRHS());
- return setUnsignedRange(UDiv, ConservativeResult.intersectWith(X.udiv(Y)));
+ ConstantRange X = getRange(UDiv->getLHS(), SignHint);
+ ConstantRange Y = getRange(UDiv->getRHS(), SignHint);
+ return setRange(UDiv, SignHint,
+ ConservativeResult.intersectWith(X.udiv(Y)));
}
if (const SCEVZeroExtendExpr *ZExt = dyn_cast<SCEVZeroExtendExpr>(S)) {
- ConstantRange X = getUnsignedRange(ZExt->getOperand());
- return setUnsignedRange(ZExt,
- ConservativeResult.intersectWith(X.zeroExtend(BitWidth)));
+ ConstantRange X = getRange(ZExt->getOperand(), SignHint);
+ return setRange(ZExt, SignHint,
+ ConservativeResult.intersectWith(X.zeroExtend(BitWidth)));
}
if (const SCEVSignExtendExpr *SExt = dyn_cast<SCEVSignExtendExpr>(S)) {
- ConstantRange X = getUnsignedRange(SExt->getOperand());
- return setUnsignedRange(SExt,
- ConservativeResult.intersectWith(X.signExtend(BitWidth)));
+ ConstantRange X = getRange(SExt->getOperand(), SignHint);
+ return setRange(SExt, SignHint,
+ ConservativeResult.intersectWith(X.signExtend(BitWidth)));
}
if (const SCEVTruncateExpr *Trunc = dyn_cast<SCEVTruncateExpr>(S)) {
- ConstantRange X = getUnsignedRange(Trunc->getOperand());
- return setUnsignedRange(Trunc,
- ConservativeResult.intersectWith(X.truncate(BitWidth)));
+ ConstantRange X = getRange(Trunc->getOperand(), SignHint);
+ return setRange(Trunc, SignHint,
+ ConservativeResult.intersectWith(X.truncate(BitWidth)));
}
if (const SCEVAddRecExpr *AddRec = dyn_cast<SCEVAddRecExpr>(S)) {
ConservativeResult.intersectWith(
ConstantRange(C->getValue()->getValue(), APInt(BitWidth, 0)));
- // TODO: non-affine addrec
- if (AddRec->isAffine()) {
- Type *Ty = AddRec->getType();
- const SCEV *MaxBECount = getMaxBackedgeTakenCount(AddRec->getLoop());
- if (!isa<SCEVCouldNotCompute>(MaxBECount) &&
- getTypeSizeInBits(MaxBECount->getType()) <= BitWidth) {
- MaxBECount = getNoopOrZeroExtend(MaxBECount, Ty);
-
- const SCEV *Start = AddRec->getStart();
- const SCEV *Step = AddRec->getStepRecurrence(*this);
-
- ConstantRange StartRange = getUnsignedRange(Start);
- ConstantRange StepRange = getSignedRange(Step);
- ConstantRange MaxBECountRange = getUnsignedRange(MaxBECount);
- ConstantRange EndRange =
- StartRange.add(MaxBECountRange.multiply(StepRange));
-
- // Check for overflow. This must be done with ConstantRange arithmetic
- // because we could be called from within the ScalarEvolution overflow
- // checking code.
- ConstantRange ExtStartRange = StartRange.zextOrTrunc(BitWidth*2+1);
- ConstantRange ExtStepRange = StepRange.sextOrTrunc(BitWidth*2+1);
- ConstantRange ExtMaxBECountRange =
- MaxBECountRange.zextOrTrunc(BitWidth*2+1);
- ConstantRange ExtEndRange = EndRange.zextOrTrunc(BitWidth*2+1);
- if (ExtStartRange.add(ExtMaxBECountRange.multiply(ExtStepRange)) !=
- ExtEndRange)
- return setUnsignedRange(AddRec, ConservativeResult);
-
- APInt Min = APIntOps::umin(StartRange.getUnsignedMin(),
- EndRange.getUnsignedMin());
- APInt Max = APIntOps::umax(StartRange.getUnsignedMax(),
- EndRange.getUnsignedMax());
- if (Min.isMinValue() && Max.isMaxValue())
- return setUnsignedRange(AddRec, ConservativeResult);
- return setUnsignedRange(AddRec,
- ConservativeResult.intersectWith(ConstantRange(Min, Max+1)));
- }
- }
-
- return setUnsignedRange(AddRec, ConservativeResult);
- }
-
- if (const SCEVUnknown *U = dyn_cast<SCEVUnknown>(S)) {
- // Check if the IR explicitly contains !range metadata.
- Optional<ConstantRange> MDRange = GetRangeFromMetadata(U->getValue());
- if (MDRange.hasValue())
- ConservativeResult = ConservativeResult.intersectWith(MDRange.getValue());
-
- // For a SCEVUnknown, ask ValueTracking.
- APInt Zeros(BitWidth, 0), Ones(BitWidth, 0);
- computeKnownBits(U->getValue(), Zeros, Ones, DL, 0, AT, nullptr, DT);
- if (Ones == ~Zeros + 1)
- return setUnsignedRange(U, ConservativeResult);
- return setUnsignedRange(U,
- ConservativeResult.intersectWith(ConstantRange(Ones, ~Zeros + 1)));
- }
-
- return setUnsignedRange(S, ConservativeResult);
-}
-
-/// getSignedRange - Determine the signed range for a particular SCEV.
-///
-ConstantRange
-ScalarEvolution::getSignedRange(const SCEV *S) {
- // See if we've computed this range already.
- DenseMap<const SCEV *, ConstantRange>::iterator I = SignedRanges.find(S);
- if (I != SignedRanges.end())
- return I->second;
-
- if (const SCEVConstant *C = dyn_cast<SCEVConstant>(S))
- return setSignedRange(C, ConstantRange(C->getValue()->getValue()));
-
- unsigned BitWidth = getTypeSizeInBits(S->getType());
- ConstantRange ConservativeResult(BitWidth, /*isFullSet=*/true);
-
- // If the value has known zeros, the maximum signed value will have those
- // known zeros as well.
- uint32_t TZ = GetMinTrailingZeros(S);
- if (TZ != 0)
- ConservativeResult =
- ConstantRange(APInt::getSignedMinValue(BitWidth),
- APInt::getSignedMaxValue(BitWidth).ashr(TZ).shl(TZ) + 1);
-
- if (const SCEVAddExpr *Add = dyn_cast<SCEVAddExpr>(S)) {
- ConstantRange X = getSignedRange(Add->getOperand(0));
- for (unsigned i = 1, e = Add->getNumOperands(); i != e; ++i)
- X = X.add(getSignedRange(Add->getOperand(i)));
- return setSignedRange(Add, ConservativeResult.intersectWith(X));
- }
-
- if (const SCEVMulExpr *Mul = dyn_cast<SCEVMulExpr>(S)) {
- ConstantRange X = getSignedRange(Mul->getOperand(0));
- for (unsigned i = 1, e = Mul->getNumOperands(); i != e; ++i)
- X = X.multiply(getSignedRange(Mul->getOperand(i)));
- return setSignedRange(Mul, ConservativeResult.intersectWith(X));
- }
-
- if (const SCEVSMaxExpr *SMax = dyn_cast<SCEVSMaxExpr>(S)) {
- ConstantRange X = getSignedRange(SMax->getOperand(0));
- for (unsigned i = 1, e = SMax->getNumOperands(); i != e; ++i)
- X = X.smax(getSignedRange(SMax->getOperand(i)));
- return setSignedRange(SMax, ConservativeResult.intersectWith(X));
- }
-
- if (const SCEVUMaxExpr *UMax = dyn_cast<SCEVUMaxExpr>(S)) {
- ConstantRange X = getSignedRange(UMax->getOperand(0));
- for (unsigned i = 1, e = UMax->getNumOperands(); i != e; ++i)
- X = X.umax(getSignedRange(UMax->getOperand(i)));
- return setSignedRange(UMax, ConservativeResult.intersectWith(X));
- }
-
- if (const SCEVUDivExpr *UDiv = dyn_cast<SCEVUDivExpr>(S)) {
- ConstantRange X = getSignedRange(UDiv->getLHS());
- ConstantRange Y = getSignedRange(UDiv->getRHS());
- return setSignedRange(UDiv, ConservativeResult.intersectWith(X.udiv(Y)));
- }
-
- if (const SCEVZeroExtendExpr *ZExt = dyn_cast<SCEVZeroExtendExpr>(S)) {
- ConstantRange X = getSignedRange(ZExt->getOperand());
- return setSignedRange(ZExt,
- ConservativeResult.intersectWith(X.zeroExtend(BitWidth)));
- }
-
- if (const SCEVSignExtendExpr *SExt = dyn_cast<SCEVSignExtendExpr>(S)) {
- ConstantRange X = getSignedRange(SExt->getOperand());
- return setSignedRange(SExt,
- ConservativeResult.intersectWith(X.signExtend(BitWidth)));
- }
-
- if (const SCEVTruncateExpr *Trunc = dyn_cast<SCEVTruncateExpr>(S)) {
- ConstantRange X = getSignedRange(Trunc->getOperand());
- return setSignedRange(Trunc,
- ConservativeResult.intersectWith(X.truncate(BitWidth)));
- }
-
- if (const SCEVAddRecExpr *AddRec = dyn_cast<SCEVAddRecExpr>(S)) {
// If there's no signed wrap, and all the operands have the same sign or
// zero, the value won't ever change sign.
if (AddRec->getNoWrapFlags(SCEV::FlagNSW)) {
const SCEV *MaxBECount = getMaxBackedgeTakenCount(AddRec->getLoop());
if (!isa<SCEVCouldNotCompute>(MaxBECount) &&
getTypeSizeInBits(MaxBECount->getType()) <= BitWidth) {
+
+ // Check for overflow. This must be done with ConstantRange arithmetic
+ // because we could be called from within the ScalarEvolution overflow
+ // checking code.
+
MaxBECount = getNoopOrZeroExtend(MaxBECount, Ty);
+ ConstantRange MaxBECountRange = getUnsignedRange(MaxBECount);
+ ConstantRange ZExtMaxBECountRange =
+ MaxBECountRange.zextOrTrunc(BitWidth * 2 + 1);
const SCEV *Start = AddRec->getStart();
const SCEV *Step = AddRec->getStepRecurrence(*this);
+ ConstantRange StepSRange = getSignedRange(Step);
+ ConstantRange SExtStepSRange = StepSRange.sextOrTrunc(BitWidth * 2 + 1);
+
+ ConstantRange StartURange = getUnsignedRange(Start);
+ ConstantRange EndURange =
+ StartURange.add(MaxBECountRange.multiply(StepSRange));
+
+ // Check for unsigned overflow.
+ ConstantRange ZExtStartURange =
+ StartURange.zextOrTrunc(BitWidth * 2 + 1);
+ ConstantRange ZExtEndURange = EndURange.zextOrTrunc(BitWidth * 2 + 1);
+ if (ZExtStartURange.add(ZExtMaxBECountRange.multiply(SExtStepSRange)) ==
+ ZExtEndURange) {
+ APInt Min = APIntOps::umin(StartURange.getUnsignedMin(),
+ EndURange.getUnsignedMin());
+ APInt Max = APIntOps::umax(StartURange.getUnsignedMax(),
+ EndURange.getUnsignedMax());
+ bool IsFullRange = Min.isMinValue() && Max.isMaxValue();
+ if (!IsFullRange)
+ ConservativeResult =
+ ConservativeResult.intersectWith(ConstantRange(Min, Max + 1));
+ }
- ConstantRange StartRange = getSignedRange(Start);
- ConstantRange StepRange = getSignedRange(Step);
- ConstantRange MaxBECountRange = getUnsignedRange(MaxBECount);
- ConstantRange EndRange =
- StartRange.add(MaxBECountRange.multiply(StepRange));
-
- // Check for overflow. This must be done with ConstantRange arithmetic
- // because we could be called from within the ScalarEvolution overflow
- // checking code.
- ConstantRange ExtStartRange = StartRange.sextOrTrunc(BitWidth*2+1);
- ConstantRange ExtStepRange = StepRange.sextOrTrunc(BitWidth*2+1);
- ConstantRange ExtMaxBECountRange =
- MaxBECountRange.zextOrTrunc(BitWidth*2+1);
- ConstantRange ExtEndRange = EndRange.sextOrTrunc(BitWidth*2+1);
- if (ExtStartRange.add(ExtMaxBECountRange.multiply(ExtStepRange)) !=
- ExtEndRange)
- return setSignedRange(AddRec, ConservativeResult);
-
- APInt Min = APIntOps::smin(StartRange.getSignedMin(),
- EndRange.getSignedMin());
- APInt Max = APIntOps::smax(StartRange.getSignedMax(),
- EndRange.getSignedMax());
- if (Min.isMinSignedValue() && Max.isMaxSignedValue())
- return setSignedRange(AddRec, ConservativeResult);
- return setSignedRange(AddRec,
- ConservativeResult.intersectWith(ConstantRange(Min, Max+1)));
+ ConstantRange StartSRange = getSignedRange(Start);
+ ConstantRange EndSRange =
+ StartSRange.add(MaxBECountRange.multiply(StepSRange));
+
+ // Check for signed overflow. This must be done with ConstantRange
+ // arithmetic because we could be called from within the ScalarEvolution
+ // overflow checking code.
+ ConstantRange SExtStartSRange =
+ StartSRange.sextOrTrunc(BitWidth * 2 + 1);
+ ConstantRange SExtEndSRange = EndSRange.sextOrTrunc(BitWidth * 2 + 1);
+ if (SExtStartSRange.add(ZExtMaxBECountRange.multiply(SExtStepSRange)) ==
+ SExtEndSRange) {
+ APInt Min = APIntOps::smin(StartSRange.getSignedMin(),
+ EndSRange.getSignedMin());
+ APInt Max = APIntOps::smax(StartSRange.getSignedMax(),
+ EndSRange.getSignedMax());
+ bool IsFullRange = Min.isMinSignedValue() && Max.isMaxSignedValue();
+ if (!IsFullRange)
+ ConservativeResult =
+ ConservativeResult.intersectWith(ConstantRange(Min, Max + 1));
+ }
}
}
- return setSignedRange(AddRec, ConservativeResult);
+ return setRange(AddRec, SignHint, ConservativeResult);
}
if (const SCEVUnknown *U = dyn_cast<SCEVUnknown>(S)) {
if (MDRange.hasValue())
ConservativeResult = ConservativeResult.intersectWith(MDRange.getValue());
- // For a SCEVUnknown, ask ValueTracking.
- if (!U->getValue()->getType()->isIntegerTy() && !DL)
- return setSignedRange(U, ConservativeResult);
- unsigned NS = ComputeNumSignBits(U->getValue(), DL, 0, AT, nullptr, DT);
- if (NS <= 1)
- return setSignedRange(U, ConservativeResult);
- return setSignedRange(U, ConservativeResult.intersectWith(
- ConstantRange(APInt::getSignedMinValue(BitWidth).ashr(NS - 1),
- APInt::getSignedMaxValue(BitWidth).ashr(NS - 1)+1)));
+ // Split here to avoid paying the compile-time cost of calling both
+ // computeKnownBits and ComputeNumSignBits. This restriction can be lifted
+ // if needed.
+ const DataLayout &DL = F->getParent()->getDataLayout();
+ if (SignHint == ScalarEvolution::HINT_RANGE_UNSIGNED) {
+ // For a SCEVUnknown, ask ValueTracking.
+ APInt Zeros(BitWidth, 0), Ones(BitWidth, 0);
+ computeKnownBits(U->getValue(), Zeros, Ones, DL, 0, AC, nullptr, DT);
+ if (Ones != ~Zeros + 1)
+ ConservativeResult =
+ ConservativeResult.intersectWith(ConstantRange(Ones, ~Zeros + 1));
+ } else {
+ assert(SignHint == ScalarEvolution::HINT_RANGE_SIGNED &&
+ "generalize as needed!");
+ unsigned NS = ComputeNumSignBits(U->getValue(), DL, 0, AC, nullptr, DT);
+ if (NS > 1)
+ ConservativeResult = ConservativeResult.intersectWith(
+ ConstantRange(APInt::getSignedMinValue(BitWidth).ashr(NS - 1),
+ APInt::getSignedMaxValue(BitWidth).ashr(NS - 1) + 1));
+ }
+
+ return setRange(U, SignHint, ConservativeResult);
}
- return setSignedRange(S, ConservativeResult);
+ return setRange(S, SignHint, ConservativeResult);
}
/// createSCEV - We know that there is no SCEV for the specified value.
unsigned TZ = A.countTrailingZeros();
unsigned BitWidth = A.getBitWidth();
APInt KnownZero(BitWidth, 0), KnownOne(BitWidth, 0);
- computeKnownBits(U->getOperand(0), KnownZero, KnownOne, DL,
- 0, AT, nullptr, DT);
+ computeKnownBits(U->getOperand(0), KnownZero, KnownOne,
+ F->getParent()->getDataLayout(), 0, AC, nullptr, DT);
APInt EffectiveMask =
APInt::getLowBitsSet(BitWidth, BitWidth - LZ - TZ).shl(TZ);
case ICmpInst::ICMP_SGE:
// a >s b ? a+x : b+x -> smax(a, b)+x
// a >s b ? b+x : a+x -> smin(a, b)+x
- if (LHS->getType() == U->getType()) {
- const SCEV *LS = getSCEV(LHS);
- const SCEV *RS = getSCEV(RHS);
+ if (getTypeSizeInBits(LHS->getType()) <=
+ getTypeSizeInBits(U->getType())) {
+ const SCEV *LS = getNoopOrSignExtend(getSCEV(LHS), U->getType());
+ const SCEV *RS = getNoopOrSignExtend(getSCEV(RHS), U->getType());
const SCEV *LA = getSCEV(U->getOperand(1));
const SCEV *RA = getSCEV(U->getOperand(2));
const SCEV *LDiff = getMinusSCEV(LA, LS);
case ICmpInst::ICMP_UGE:
// a >u b ? a+x : b+x -> umax(a, b)+x
// a >u b ? b+x : a+x -> umin(a, b)+x
- if (LHS->getType() == U->getType()) {
- const SCEV *LS = getSCEV(LHS);
- const SCEV *RS = getSCEV(RHS);
+ if (getTypeSizeInBits(LHS->getType()) <=
+ getTypeSizeInBits(U->getType())) {
+ const SCEV *LS = getNoopOrZeroExtend(getSCEV(LHS), U->getType());
+ const SCEV *RS = getNoopOrZeroExtend(getSCEV(RHS), U->getType());
const SCEV *LA = getSCEV(U->getOperand(1));
const SCEV *RA = getSCEV(U->getOperand(2));
const SCEV *LDiff = getMinusSCEV(LA, LS);
break;
case ICmpInst::ICMP_NE:
// n != 0 ? n+x : 1+x -> umax(n, 1)+x
- if (LHS->getType() == U->getType() &&
- isa<ConstantInt>(RHS) &&
- cast<ConstantInt>(RHS)->isZero()) {
- const SCEV *One = getConstant(LHS->getType(), 1);
- const SCEV *LS = getSCEV(LHS);
+ if (getTypeSizeInBits(LHS->getType()) <=
+ getTypeSizeInBits(U->getType()) &&
+ isa<ConstantInt>(RHS) && cast<ConstantInt>(RHS)->isZero()) {
+ const SCEV *One = getConstant(U->getType(), 1);
+ const SCEV *LS = getNoopOrZeroExtend(getSCEV(LHS), U->getType());
const SCEV *LA = getSCEV(U->getOperand(1));
const SCEV *RA = getSCEV(U->getOperand(2));
const SCEV *LDiff = getMinusSCEV(LA, LS);
break;
case ICmpInst::ICMP_EQ:
// n == 0 ? 1+x : n+x -> umax(n, 1)+x
- if (LHS->getType() == U->getType() &&
- isa<ConstantInt>(RHS) &&
- cast<ConstantInt>(RHS)->isZero()) {
- const SCEV *One = getConstant(LHS->getType(), 1);
- const SCEV *LS = getSCEV(LHS);
+ if (getTypeSizeInBits(LHS->getType()) <=
+ getTypeSizeInBits(U->getType()) &&
+ isa<ConstantInt>(RHS) && cast<ConstantInt>(RHS)->isZero()) {
+ const SCEV *One = getConstant(U->getType(), 1);
+ const SCEV *LS = getNoopOrZeroExtend(getSCEV(LHS), U->getType());
const SCEV *LA = getSCEV(U->getOperand(1));
const SCEV *RA = getSCEV(U->getOperand(2));
const SCEV *LDiff = getMinusSCEV(LA, One);
SmallPtrSet<Instruction *, 8> Visited;
while (!Worklist.empty()) {
Instruction *I = Worklist.pop_back_val();
- if (!Visited.insert(I)) continue;
+ if (!Visited.insert(I).second)
+ continue;
ValueExprMapType::iterator It =
ValueExprMap.find_as(static_cast<Value *>(I));
SmallPtrSet<Instruction *, 8> Visited;
while (!Worklist.empty()) {
Instruction *I = Worklist.pop_back_val();
- if (!Visited.insert(I)) continue;
+ if (!Visited.insert(I).second)
+ continue;
ValueExprMapType::iterator It =
ValueExprMap.find_as(static_cast<Value *>(I));
SmallPtrSet<Instruction *, 8> Visited;
while (!Worklist.empty()) {
I = Worklist.pop_back_val();
- if (!Visited.insert(I)) continue;
+ if (!Visited.insert(I).second)
+ continue;
ValueExprMapType::iterator It =
ValueExprMap.find_as(static_cast<Value *>(I));
if (!L->contains(I)) return false;
if (isa<PHINode>(I)) {
- if (L->getHeader() == I->getParent())
- return true;
- else
- // We don't currently keep track of the control flow needed to evaluate
- // PHIs, so we cannot handle PHIs inside of loops.
- return false;
+ // We don't currently keep track of the control flow needed to evaluate
+ // PHIs, so we cannot handle PHIs inside of loops.
+ return L->getHeader() == I->getParent();
}
// If we won't be able to constant fold this expression even if the operands
/// reason, return null.
static Constant *EvaluateExpression(Value *V, const Loop *L,
DenseMap<Instruction *, Constant *> &Vals,
- const DataLayout *DL,
+ const DataLayout &DL,
const TargetLibraryInfo *TLI) {
// Convenient constant check, but redundant for recursive calls.
if (Constant *C = dyn_cast<Constant>(V)) return C;
unsigned NumIterations = BEs.getZExtValue(); // must be in range
unsigned IterationNum = 0;
+ const DataLayout &DL = F->getParent()->getDataLayout();
for (; ; ++IterationNum) {
if (IterationNum == NumIterations)
return RetVal = CurrentIterVals[PN]; // Got exit value!
// Compute the value of the PHIs for the next iteration.
// EvaluateExpression adds non-phi values to the CurrentIterVals map.
DenseMap<Instruction *, Constant *> NextIterVals;
- Constant *NextPHI = EvaluateExpression(BEValue, L, CurrentIterVals, DL,
- TLI);
+ Constant *NextPHI =
+ EvaluateExpression(BEValue, L, CurrentIterVals, DL, TLI);
if (!NextPHI)
return nullptr; // Couldn't evaluate!
NextIterVals[PN] = NextPHI;
// Okay, we find a PHI node that defines the trip count of this loop. Execute
// the loop symbolically to determine when the condition gets a value of
// "ExitWhen".
-
unsigned MaxIterations = MaxBruteForceIterations; // Limit analysis.
+ const DataLayout &DL = F->getParent()->getDataLayout();
for (unsigned IterationNum = 0; IterationNum != MaxIterations;++IterationNum){
- ConstantInt *CondVal =
- dyn_cast_or_null<ConstantInt>(EvaluateExpression(Cond, L, CurrentIterVals,
- DL, TLI));
+ ConstantInt *CondVal = dyn_cast_or_null<ConstantInt>(
+ EvaluateExpression(Cond, L, CurrentIterVals, DL, TLI));
// Couldn't symbolically evaluate.
if (!CondVal) return getCouldNotCompute();
if (PTy->getElementType()->isStructTy())
C2 = ConstantExpr::getIntegerCast(
C2, Type::getInt32Ty(C->getContext()), true);
- C = ConstantExpr::getGetElementPtr(C, C2);
+ C = ConstantExpr::getGetElementPtr(PTy->getElementType(), C, C2);
} else
C = ConstantExpr::getAdd(C, C2);
}
// Check to see if getSCEVAtScope actually made an improvement.
if (MadeImprovement) {
Constant *C = nullptr;
+ const DataLayout &DL = F->getParent()->getDataLayout();
if (const CmpInst *CI = dyn_cast<CmpInst>(I))
- C = ConstantFoldCompareInstOperands(CI->getPredicate(),
- Operands[0], Operands[1], DL,
- TLI);
+ C = ConstantFoldCompareInstOperands(CI->getPredicate(), Operands[0],
+ Operands[1], DL, TLI);
else if (const LoadInst *LI = dyn_cast<LoadInst>(I)) {
if (!LI->isVolatile())
C = ConstantFoldLoadFromConstPtr(Operands[0], DL);
} else
- C = ConstantFoldInstOperands(I->getOpcode(), I->getType(),
- Operands, DL, TLI);
+ C = ConstantFoldInstOperands(I->getOpcode(), I->getType(), Operands,
+ DL, TLI);
if (!C) return V;
return getSCEV(C);
}
dyn_cast<ConstantInt>(ConstantExpr::getICmp(CmpInst::ICMP_ULT,
R1->getValue(),
R2->getValue()))) {
- if (CB->getZExtValue() == false)
+ if (!CB->getZExtValue())
std::swap(R1, R2); // R1 is the minimum root now.
// We can only use this value if the chrec ends up with an exact zero
return ExitLimit(Distance, MaxBECount);
}
- // If the step exactly divides the distance then unsigned divide computes the
- // backedge count.
- const SCEV *Q, *R;
- ScalarEvolution &SE = *const_cast<ScalarEvolution *>(this);
- SCEVDivision::divide(SE, Distance, Step, &Q, &R);
- if (R->isZero()) {
- const SCEV *Exact =
- getUDivExactExpr(Distance, CountDown ? getNegativeSCEV(Step) : Step);
- return ExitLimit(Exact, Exact);
+ // As a special case, handle the instance where Step is a positive power of
+ // two. In this case, determining whether Step divides Distance evenly can be
+ // done by counting and comparing the number of trailing zeros of Step and
+ // Distance.
+ if (!CountDown) {
+ const APInt &StepV = StepC->getValue()->getValue();
+ // StepV.isPowerOf2() returns true if StepV is an positive power of two. It
+ // also returns true if StepV is maximally negative (eg, INT_MIN), but that
+ // case is not handled as this code is guarded by !CountDown.
+ if (StepV.isPowerOf2() &&
+ GetMinTrailingZeros(Distance) >= StepV.countTrailingZeros())
+ return getUDivExactExpr(Distance, Step);
}
// If the condition controls loop exit (the loop exits only if the expression
return true;
// Check conditions due to any @llvm.assume intrinsics.
- for (auto &CI : AT->assumptions(F)) {
+ for (auto &AssumeVH : AC->assumptions()) {
+ if (!AssumeVH)
+ continue;
+ auto *CI = cast<CallInst>(AssumeVH);
if (!DT->dominates(CI, Latch->getTerminator()))
continue;
return true;
}
+ struct ClearWalkingBEDominatingCondsOnExit {
+ ScalarEvolution &SE;
+
+ explicit ClearWalkingBEDominatingCondsOnExit(ScalarEvolution &SE)
+ : SE(SE){};
+
+ ~ClearWalkingBEDominatingCondsOnExit() {
+ SE.WalkingBEDominatingConds = false;
+ }
+ };
+
+ // We don't want more than one activation of the following loop on the stack
+ // -- that can lead to O(n!) time complexity.
+ if (WalkingBEDominatingConds)
+ return false;
+
+ WalkingBEDominatingConds = true;
+ ClearWalkingBEDominatingCondsOnExit ClearOnExit(*this);
+
+ // If the loop is not reachable from the entry block, we risk running into an
+ // infinite loop as we walk up into the dom tree. These loops do not matter
+ // anyway, so we just return a conservative answer when we see them.
+ if (!DT->isReachableFromEntry(L->getHeader()))
+ return false;
+
+ for (DomTreeNode *DTN = (*DT)[Latch], *HeaderDTN = (*DT)[L->getHeader()];
+ DTN != HeaderDTN;
+ DTN = DTN->getIDom()) {
+
+ assert(DTN && "should reach the loop header before reaching the root!");
+
+ BasicBlock *BB = DTN->getBlock();
+ BasicBlock *PBB = BB->getSinglePredecessor();
+ if (!PBB)
+ continue;
+
+ BranchInst *ContinuePredicate = dyn_cast<BranchInst>(PBB->getTerminator());
+ if (!ContinuePredicate || !ContinuePredicate->isConditional())
+ continue;
+
+ Value *Condition = ContinuePredicate->getCondition();
+
+ // If we have an edge `E` within the loop body that dominates the only
+ // latch, the condition guarding `E` also guards the backedge. This
+ // reasoning works only for loops with a single latch.
+
+ BasicBlockEdge DominatingEdge(PBB, BB);
+ if (DominatingEdge.isSingleEdge()) {
+ // We're constructively (and conservatively) enumerating edges within the
+ // loop body that dominate the latch. The dominator tree better agree
+ // with us on this:
+ assert(DT->dominates(DominatingEdge, Latch) && "should be!");
+
+ if (isImpliedCond(Pred, LHS, RHS, Condition,
+ BB != ContinuePredicate->getSuccessor(0)))
+ return true;
+ }
+ }
+
return false;
}
}
// Check conditions due to any @llvm.assume intrinsics.
- for (auto &CI : AT->assumptions(F)) {
+ for (auto &AssumeVH : AC->assumptions()) {
+ if (!AssumeVH)
+ continue;
+ auto *CI = cast<CallInst>(AssumeVH);
if (!DT->dominates(CI, L->getHeader()))
continue;
ICmpInst *ICI = dyn_cast<ICmpInst>(FoundCondValue);
if (!ICI) return false;
- // Bail if the ICmp's operands' types are wider than the needed type
- // before attempting to call getSCEV on them. This avoids infinite
- // recursion, since the analysis of widening casts can require loop
- // exit condition information for overflow checking, which would
- // lead back here.
- if (getTypeSizeInBits(LHS->getType()) <
- getTypeSizeInBits(ICI->getOperand(0)->getType()))
- return false;
-
// Now that we found a conditional branch that dominates the loop or controls
// the loop latch. Check to see if it is the comparison we are looking for.
ICmpInst::Predicate FoundPred;
const SCEV *FoundLHS = getSCEV(ICI->getOperand(0));
const SCEV *FoundRHS = getSCEV(ICI->getOperand(1));
- // Balance the types. The case where FoundLHS' type is wider than
- // LHS' type is checked for above.
- if (getTypeSizeInBits(LHS->getType()) >
+ // Balance the types.
+ if (getTypeSizeInBits(LHS->getType()) <
+ getTypeSizeInBits(FoundLHS->getType())) {
+ if (CmpInst::isSigned(Pred)) {
+ LHS = getSignExtendExpr(LHS, FoundLHS->getType());
+ RHS = getSignExtendExpr(RHS, FoundLHS->getType());
+ } else {
+ LHS = getZeroExtendExpr(LHS, FoundLHS->getType());
+ RHS = getZeroExtendExpr(RHS, FoundLHS->getType());
+ }
+ } else if (getTypeSizeInBits(LHS->getType()) >
getTypeSizeInBits(FoundLHS->getType())) {
if (CmpInst::isSigned(FoundPred)) {
FoundLHS = getSignExtendExpr(FoundLHS, LHS->getType());
const SCEV *LHS, const SCEV *RHS,
const SCEV *FoundLHS,
const SCEV *FoundRHS) {
+ if (isImpliedCondOperandsViaRanges(Pred, LHS, RHS, FoundLHS, FoundRHS))
+ return true;
+
return isImpliedCondOperandsHelper(Pred, LHS, RHS,
FoundLHS, FoundRHS) ||
// ~x < ~y --> x > y
getNotSCEV(FoundLHS));
}
+
+/// If Expr computes ~A, return A else return nullptr
+static const SCEV *MatchNotExpr(const SCEV *Expr) {
+ const SCEVAddExpr *Add = dyn_cast<SCEVAddExpr>(Expr);
+ if (!Add || Add->getNumOperands() != 2) return nullptr;
+
+ const SCEVConstant *AddLHS = dyn_cast<SCEVConstant>(Add->getOperand(0));
+ if (!(AddLHS && AddLHS->getValue()->getValue().isAllOnesValue()))
+ return nullptr;
+
+ const SCEVMulExpr *AddRHS = dyn_cast<SCEVMulExpr>(Add->getOperand(1));
+ if (!AddRHS || AddRHS->getNumOperands() != 2) return nullptr;
+
+ const SCEVConstant *MulLHS = dyn_cast<SCEVConstant>(AddRHS->getOperand(0));
+ if (!(MulLHS && MulLHS->getValue()->getValue().isAllOnesValue()))
+ return nullptr;
+
+ return AddRHS->getOperand(1);
+}
+
+
+/// Is MaybeMaxExpr an SMax or UMax of Candidate and some other values?
+template<typename MaxExprType>
+static bool IsMaxConsistingOf(const SCEV *MaybeMaxExpr,
+ const SCEV *Candidate) {
+ const MaxExprType *MaxExpr = dyn_cast<MaxExprType>(MaybeMaxExpr);
+ if (!MaxExpr) return false;
+
+ auto It = std::find(MaxExpr->op_begin(), MaxExpr->op_end(), Candidate);
+ return It != MaxExpr->op_end();
+}
+
+
+/// Is MaybeMinExpr an SMin or UMin of Candidate and some other values?
+template<typename MaxExprType>
+static bool IsMinConsistingOf(ScalarEvolution &SE,
+ const SCEV *MaybeMinExpr,
+ const SCEV *Candidate) {
+ const SCEV *MaybeMaxExpr = MatchNotExpr(MaybeMinExpr);
+ if (!MaybeMaxExpr)
+ return false;
+
+ return IsMaxConsistingOf<MaxExprType>(MaybeMaxExpr, SE.getNotSCEV(Candidate));
+}
+
+
+/// Is LHS `Pred` RHS true on the virtue of LHS or RHS being a Min or Max
+/// expression?
+static bool IsKnownPredicateViaMinOrMax(ScalarEvolution &SE,
+ ICmpInst::Predicate Pred,
+ const SCEV *LHS, const SCEV *RHS) {
+ switch (Pred) {
+ default:
+ return false;
+
+ case ICmpInst::ICMP_SGE:
+ std::swap(LHS, RHS);
+ // fall through
+ case ICmpInst::ICMP_SLE:
+ return
+ // min(A, ...) <= A
+ IsMinConsistingOf<SCEVSMaxExpr>(SE, LHS, RHS) ||
+ // A <= max(A, ...)
+ IsMaxConsistingOf<SCEVSMaxExpr>(RHS, LHS);
+
+ case ICmpInst::ICMP_UGE:
+ std::swap(LHS, RHS);
+ // fall through
+ case ICmpInst::ICMP_ULE:
+ return
+ // min(A, ...) <= A
+ IsMinConsistingOf<SCEVUMaxExpr>(SE, LHS, RHS) ||
+ // A <= max(A, ...)
+ IsMaxConsistingOf<SCEVUMaxExpr>(RHS, LHS);
+ }
+
+ llvm_unreachable("covered switch fell through?!");
+}
+
/// isImpliedCondOperandsHelper - Test whether the condition described by
/// Pred, LHS, and RHS is true whenever the condition described by Pred,
/// FoundLHS, and FoundRHS is true.
const SCEV *LHS, const SCEV *RHS,
const SCEV *FoundLHS,
const SCEV *FoundRHS) {
+ auto IsKnownPredicateFull =
+ [this](ICmpInst::Predicate Pred, const SCEV *LHS, const SCEV *RHS) {
+ return isKnownPredicateWithRanges(Pred, LHS, RHS) ||
+ IsKnownPredicateViaMinOrMax(*this, Pred, LHS, RHS);
+ };
+
switch (Pred) {
default: llvm_unreachable("Unexpected ICmpInst::Predicate value!");
case ICmpInst::ICMP_EQ:
break;
case ICmpInst::ICMP_SLT:
case ICmpInst::ICMP_SLE:
- if (isKnownPredicateWithRanges(ICmpInst::ICMP_SLE, LHS, FoundLHS) &&
- isKnownPredicateWithRanges(ICmpInst::ICMP_SGE, RHS, FoundRHS))
+ if (IsKnownPredicateFull(ICmpInst::ICMP_SLE, LHS, FoundLHS) &&
+ IsKnownPredicateFull(ICmpInst::ICMP_SGE, RHS, FoundRHS))
return true;
break;
case ICmpInst::ICMP_SGT:
case ICmpInst::ICMP_SGE:
- if (isKnownPredicateWithRanges(ICmpInst::ICMP_SGE, LHS, FoundLHS) &&
- isKnownPredicateWithRanges(ICmpInst::ICMP_SLE, RHS, FoundRHS))
+ if (IsKnownPredicateFull(ICmpInst::ICMP_SGE, LHS, FoundLHS) &&
+ IsKnownPredicateFull(ICmpInst::ICMP_SLE, RHS, FoundRHS))
return true;
break;
case ICmpInst::ICMP_ULT:
case ICmpInst::ICMP_ULE:
- if (isKnownPredicateWithRanges(ICmpInst::ICMP_ULE, LHS, FoundLHS) &&
- isKnownPredicateWithRanges(ICmpInst::ICMP_UGE, RHS, FoundRHS))
+ if (IsKnownPredicateFull(ICmpInst::ICMP_ULE, LHS, FoundLHS) &&
+ IsKnownPredicateFull(ICmpInst::ICMP_UGE, RHS, FoundRHS))
return true;
break;
case ICmpInst::ICMP_UGT:
case ICmpInst::ICMP_UGE:
- if (isKnownPredicateWithRanges(ICmpInst::ICMP_UGE, LHS, FoundLHS) &&
- isKnownPredicateWithRanges(ICmpInst::ICMP_ULE, RHS, FoundRHS))
+ if (IsKnownPredicateFull(ICmpInst::ICMP_UGE, LHS, FoundLHS) &&
+ IsKnownPredicateFull(ICmpInst::ICMP_ULE, RHS, FoundRHS))
return true;
break;
}
return false;
}
-// Verify if an linear IV with positive stride can overflow when in a
-// less-than comparison, knowing the invariant term of the comparison, the
+/// isImpliedCondOperandsViaRanges - helper function for isImpliedCondOperands.
+/// Tries to get cases like "X `sgt` 0 => X - 1 `sgt` -1".
+bool ScalarEvolution::isImpliedCondOperandsViaRanges(ICmpInst::Predicate Pred,
+ const SCEV *LHS,
+ const SCEV *RHS,
+ const SCEV *FoundLHS,
+ const SCEV *FoundRHS) {
+ if (!isa<SCEVConstant>(RHS) || !isa<SCEVConstant>(FoundRHS))
+ // The restriction on `FoundRHS` be lifted easily -- it exists only to
+ // reduce the compile time impact of this optimization.
+ return false;
+
+ const SCEVAddExpr *AddLHS = dyn_cast<SCEVAddExpr>(LHS);
+ if (!AddLHS || AddLHS->getOperand(1) != FoundLHS ||
+ !isa<SCEVConstant>(AddLHS->getOperand(0)))
+ return false;
+
+ APInt ConstFoundRHS = cast<SCEVConstant>(FoundRHS)->getValue()->getValue();
+
+ // `FoundLHSRange` is the range we know `FoundLHS` to be in by virtue of the
+ // antecedent "`FoundLHS` `Pred` `FoundRHS`".
+ ConstantRange FoundLHSRange =
+ ConstantRange::makeAllowedICmpRegion(Pred, ConstFoundRHS);
+
+ // Since `LHS` is `FoundLHS` + `AddLHS->getOperand(0)`, we can compute a range
+ // for `LHS`:
+ APInt Addend =
+ cast<SCEVConstant>(AddLHS->getOperand(0))->getValue()->getValue();
+ ConstantRange LHSRange = FoundLHSRange.add(ConstantRange(Addend));
+
+ // We can also compute the range of values for `LHS` that satisfy the
+ // consequent, "`LHS` `Pred` `RHS`":
+ APInt ConstRHS = cast<SCEVConstant>(RHS)->getValue()->getValue();
+ ConstantRange SatisfyingLHSRange =
+ ConstantRange::makeSatisfyingICmpRegion(Pred, ConstRHS);
+
+ // The antecedent implies the consequent if every value of `LHS` that
+ // satisfies the antecedent also satisfies the consequent.
+ return SatisfyingLHSRange.contains(LHSRange);
+}
+
+// Verify if an linear IV with positive stride can overflow when in a
+// less-than comparison, knowing the invariant term of the comparison, the
// stride and the knowledge of NSW/NUW flags on the recurrence.
bool ScalarEvolution::doesIVOverflowOnLT(const SCEV *RHS, const SCEV *Stride,
bool IsSigned, bool NoWrap) {
return (MaxValue - MaxStrideMinusOne).ult(MaxRHS);
}
-// Verify if an linear IV with negative stride can overflow when in a
+// Verify if an linear IV with negative stride can overflow when in a
// greater-than comparison, knowing the invariant term of the comparison,
// the stride and the knowledge of NSW/NUW flags on the recurrence.
bool ScalarEvolution::doesIVOverflowOnGT(const SCEV *RHS, const SCEV *Stride,
// Compute the backedge taken count knowing the interval difference, the
// stride and presence of the equality in the comparison.
-const SCEV *ScalarEvolution::computeBECount(const SCEV *Delta, const SCEV *Step,
+const SCEV *ScalarEvolution::computeBECount(const SCEV *Delta, const SCEV *Step,
bool Equality) {
const SCEV *One = getConstant(Step->getType(), 1);
Delta = Equality ? getAddExpr(Delta, Step)
// Avoid proven overflow cases: this will ensure that the backedge taken count
// will not generate any unsigned overflow. Relaxed no-overflow conditions
- // exploit NoWrapFlags, allowing to optimize in presence of undefined
+ // exploit NoWrapFlags, allowing to optimize in presence of undefined
// behaviors like the case of C language.
if (!Stride->isOne() && doesIVOverflowOnLT(RHS, Stride, IsSigned, NoWrap))
return getCouldNotCompute();
// Avoid proven overflow cases: this will ensure that the backedge taken count
// will not generate any unsigned overflow. Relaxed no-overflow conditions
- // exploit NoWrapFlags, allowing to optimize in presence of undefined
+ // exploit NoWrapFlags, allowing to optimize in presence of undefined
// behaviors like the case of C language.
if (!Stride->isOne() && doesIVOverflowOnGT(RHS, Stride, IsSigned, NoWrap))
return getCouldNotCompute();
if (isa<SCEVConstant>(BECount))
MaxBECount = BECount;
else
- MaxBECount = computeBECount(getConstant(MaxStart - MinEnd),
+ MaxBECount = computeBECount(getConstant(MaxStart - MinEnd),
getConstant(MinStride), false);
if (isa<SCEVCouldNotCompute>(MaxBECount))
if (ConstantInt *CB =
dyn_cast<ConstantInt>(ConstantExpr::getICmp(ICmpInst::ICMP_ULT,
R1->getValue(), R2->getValue()))) {
- if (CB->getZExtValue() == false)
+ if (!CB->getZExtValue())
std::swap(R1, R2); // R1 is the minimum root now.
// Make sure the root is not off by one. The returned iteration should
// that until everything else is done.
if (U == Old)
continue;
- if (!Visited.insert(U))
+ if (!Visited.insert(U).second)
continue;
if (PHINode *PN = dyn_cast<PHINode>(U))
SE->ConstantEvolutionLoopExitValue.erase(PN);
//===----------------------------------------------------------------------===//
ScalarEvolution::ScalarEvolution()
- : FunctionPass(ID), ValuesAtScopes(64), LoopDispositions(64),
- BlockDispositions(64), FirstUnknown(nullptr) {
+ : FunctionPass(ID), WalkingBEDominatingConds(false), ValuesAtScopes(64),
+ LoopDispositions(64), BlockDispositions(64), FirstUnknown(nullptr) {
initializeScalarEvolutionPass(*PassRegistry::getPassRegistry());
}
bool ScalarEvolution::runOnFunction(Function &F) {
this->F = &F;
- AT = &getAnalysis<AssumptionTracker>();
- LI = &getAnalysis<LoopInfo>();
- DataLayoutPass *DLP = getAnalysisIfAvailable<DataLayoutPass>();
- DL = DLP ? &DLP->getDataLayout() : nullptr;
- TLI = &getAnalysis<TargetLibraryInfo>();
+ AC = &getAnalysis<AssumptionCacheTracker>().getAssumptionCache(F);
+ LI = &getAnalysis<LoopInfoWrapperPass>().getLoopInfo();
+ TLI = &getAnalysis<TargetLibraryInfoWrapperPass>().getTLI();
DT = &getAnalysis<DominatorTreeWrapperPass>().getDomTree();
return false;
}
}
assert(PendingLoopPredicates.empty() && "isImpliedCond garbage");
+ assert(!WalkingBEDominatingConds && "isLoopBackedgeGuardedByCond garbage!");
BackedgeTakenCounts.clear();
ConstantEvolutionLoopExitValue.clear();
void ScalarEvolution::getAnalysisUsage(AnalysisUsage &AU) const {
AU.setPreservesAll();
- AU.addRequired<AssumptionTracker>();
- AU.addRequiredTransitive<LoopInfo>();
+ AU.addRequired<AssumptionCacheTracker>();
+ AU.addRequiredTransitive<LoopInfoWrapperPass>();
AU.addRequiredTransitive<DominatorTreeWrapperPass>();
- AU.addRequired<TargetLibraryInfo>();
+ AU.addRequired<TargetLibraryInfoWrapperPass>();
}
bool ScalarEvolution::hasLoopInvariantBackedgeTakenCount(const Loop *L) {
OS << " --> ";
const SCEV *SV = SE.getSCEV(&*I);
SV->print(OS);
+ if (!isa<SCEVCouldNotCompute>(SV)) {
+ OS << " U: ";
+ SE.getUnsignedRange(SV).print(OS);
+ OS << " S: ";
+ SE.getSignedRange(SV).print(OS);
+ }
const Loop *L = LI->getLoopFor((*I).getParent());
if (AtUse != SV) {
OS << " --> ";
AtUse->print(OS);
+ if (!isa<SCEVCouldNotCompute>(AtUse)) {
+ OS << " U: ";
+ SE.getUnsignedRange(AtUse).print(OS);
+ OS << " S: ";
+ SE.getSignedRange(AtUse).print(OS);
+ }
}
if (L) {
ScalarEvolution::LoopDisposition
ScalarEvolution::getLoopDisposition(const SCEV *S, const Loop *L) {
- SmallVector<std::pair<const Loop *, LoopDisposition>, 2> &Values = LoopDispositions[S];
- for (unsigned u = 0; u < Values.size(); u++) {
- if (Values[u].first == L)
- return Values[u].second;
+ auto &Values = LoopDispositions[S];
+ for (auto &V : Values) {
+ if (V.getPointer() == L)
+ return V.getInt();
}
- Values.push_back(std::make_pair(L, LoopVariant));
+ Values.emplace_back(L, LoopVariant);
LoopDisposition D = computeLoopDisposition(S, L);
- SmallVector<std::pair<const Loop *, LoopDisposition>, 2> &Values2 = LoopDispositions[S];
- for (unsigned u = Values2.size(); u > 0; u--) {
- if (Values2[u - 1].first == L) {
- Values2[u - 1].second = D;
+ auto &Values2 = LoopDispositions[S];
+ for (auto &V : make_range(Values2.rbegin(), Values2.rend())) {
+ if (V.getPointer() == L) {
+ V.setInt(D);
break;
}
}
ScalarEvolution::BlockDisposition
ScalarEvolution::getBlockDisposition(const SCEV *S, const BasicBlock *BB) {
- SmallVector<std::pair<const BasicBlock *, BlockDisposition>, 2> &Values = BlockDispositions[S];
- for (unsigned u = 0; u < Values.size(); u++) {
- if (Values[u].first == BB)
- return Values[u].second;
+ auto &Values = BlockDispositions[S];
+ for (auto &V : Values) {
+ if (V.getPointer() == BB)
+ return V.getInt();
}
- Values.push_back(std::make_pair(BB, DoesNotDominateBlock));
+ Values.emplace_back(BB, DoesNotDominateBlock);
BlockDisposition D = computeBlockDisposition(S, BB);
- SmallVector<std::pair<const BasicBlock *, BlockDisposition>, 2> &Values2 = BlockDispositions[S];
- for (unsigned u = Values2.size(); u > 0; u--) {
- if (Values2[u - 1].first == BB) {
- Values2[u - 1].second = D;
+ auto &Values2 = BlockDispositions[S];
+ for (auto &V : make_range(Values2.rbegin(), Values2.rend())) {
+ if (V.getPointer() == BB) {
+ V.setInt(D);
break;
}
}
projects / oota-llvm.git / blobdiff