for (unsigned i = 1, e = AR->getNumOperands(); i != e; ++i)
OS << ",+," << *AR->getOperand(i);
OS << "}<";
+ if (AR->hasNoUnsignedWrap())
+ OS << "nuw><";
+ if (AR->hasNoSignedWrap())
+ OS << "nsw><";
WriteAsOperand(OS, AR->getLoop()->getHeader(), /*PrintType=*/false);
OS << ">";
return;
if (const SCEVZeroExtendExpr *SZ = dyn_cast<SCEVZeroExtendExpr>(Op))
return getTruncateOrZeroExtend(SZ->getOperand(), Ty);
+ // trunc(x1+x2+...+xN) --> trunc(x1)+trunc(x2)+...+trunc(xN) if we can
+ // eliminate all the 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);
+ Operands.push_back(S);
+ }
+ if (!hasTrunc)
+ return getAddExpr(Operands, false, false);
+ UniqueSCEVs.FindNodeOrInsertPos(ID, IP); // Mutates IP, returns NULL.
+ }
+
+ // trunc(x1*x2*...*xN) --> trunc(x1)*trunc(x2)*...*trunc(xN) if we can
+ // eliminate all the 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);
+ Operands.push_back(S);
+ }
+ if (!hasTrunc)
+ return getMulExpr(Operands, false, false);
+ UniqueSCEVs.FindNodeOrInsertPos(ID, IP); // Mutates IP, returns NULL.
+ }
+
// If the input value is a chrec scev, truncate the chrec's operands.
if (const SCEVAddRecExpr *AddRec = dyn_cast<SCEVAddRecExpr>(Op)) {
SmallVector<const SCEV *, 4> Operands;
void *IP = 0;
if (const SCEV *S = UniqueSCEVs.FindNodeOrInsertPos(ID, IP)) return S;
+ // zext(trunc(x)) --> zext(x) or x or trunc(x)
+ if (const SCEVTruncateExpr *ST = dyn_cast<SCEVTruncateExpr>(Op)) {
+ // It's possible the bits taken off by the truncate were all zero bits. If
+ // so, we should be able to simplify this further.
+ const SCEV *X = ST->getOperand();
+ ConstantRange CR = getUnsignedRange(X);
+ unsigned TruncBits = getTypeSizeInBits(ST->getType());
+ unsigned NewBits = getTypeSizeInBits(Ty);
+ if (CR.truncate(TruncBits).zeroExtend(NewBits).contains(
+ CR.zextOrTrunc(NewBits)))
+ return getTruncateOrZeroExtend(X, Ty);
+ }
+
// If the input value is a chrec scev, and we can prove that the value
// did not overflow the old, smaller, value, we can zero extend all of the
// operands (often constants). This allows analysis of something like
if (const SCEVSignExtendExpr *SS = dyn_cast<SCEVSignExtendExpr>(Op))
return getSignExtendExpr(SS->getOperand(), Ty);
+ // sext(zext(x)) --> zext(x)
+ if (const SCEVZeroExtendExpr *SZ = dyn_cast<SCEVZeroExtendExpr>(Op))
+ return getZeroExtendExpr(SZ->getOperand(), Ty);
+
// Before doing any expensive analysis, check to see if we've already
// computed a SCEV for this Op and Ty.
FoldingSetNodeID ID;
void *IP = 0;
if (const SCEV *S = UniqueSCEVs.FindNodeOrInsertPos(ID, IP)) return S;
+ // If the input value is provably positive, build a zext instead.
+ if (isKnownNonNegative(Op))
+ return getZeroExtendExpr(Op, Ty);
+
+ // sext(trunc(x)) --> sext(x) or x or trunc(x)
+ if (const SCEVTruncateExpr *ST = dyn_cast<SCEVTruncateExpr>(Op)) {
+ // It's possible the bits taken off by the truncate were all sign bits. If
+ // so, we should be able to simplify this further.
+ const SCEV *X = ST->getOperand();
+ ConstantRange CR = getSignedRange(X);
+ unsigned TruncBits = getTypeSizeInBits(ST->getType());
+ unsigned NewBits = getTypeSizeInBits(Ty);
+ if (CR.truncate(TruncBits).signExtend(NewBits).contains(
+ CR.sextOrTrunc(NewBits)))
+ return getTruncateOrSignExtend(X, Ty);
+ }
+
// If the input value is a chrec scev, and we can prove that the value
// did not overflow the old, smaller, value, we can sign extend all of the
// operands (often constants). This allows analysis of something like
return getMinusSCEV(AllOnes, V);
}
-/// getMinusSCEV - Return a SCEV corresponding to LHS - RHS.
-///
-const SCEV *ScalarEvolution::getMinusSCEV(const SCEV *LHS,
- const SCEV *RHS) {
+/// getMinusSCEV - Return LHS-RHS. Minus is represented in SCEV as A+B*-1,
+/// and thus the HasNUW and HasNSW bits apply to the resultant add, not
+/// whether the sub would have overflowed.
+const SCEV *ScalarEvolution::getMinusSCEV(const SCEV *LHS, const SCEV *RHS,
+ bool HasNUW, bool HasNSW) {
// Fast path: X - X --> 0.
if (LHS == RHS)
return getConstant(LHS->getType(), 0);
// X - Y --> X + -Y
- return getAddExpr(LHS, getNegativeSCEV(RHS));
+ return getAddExpr(LHS, getNegativeSCEV(RHS), HasNUW, HasNSW);
}
/// getTruncateOrZeroExtend - Return a SCEV corresponding to a conversion of the
/// input value to the specified type. If the type must be extended, it is zero
/// extended.
const SCEV *
-ScalarEvolution::getTruncateOrZeroExtend(const SCEV *V,
- const Type *Ty) {
+ScalarEvolution::getTruncateOrZeroExtend(const SCEV *V, const Type *Ty) {
const Type *SrcTy = V->getType();
assert((SrcTy->isIntegerTy() || SrcTy->isPointerTy()) &&
(Ty->isIntegerTy() || Ty->isPointerTy()) &&
HasNUW = true;
if (OBO->hasNoSignedWrap())
HasNSW = true;
+ } else if (const GEPOperator *GEP =
+ dyn_cast<GEPOperator>(BEValueV)) {
+ // If the increment is a GEP, then we know it won't perform a
+ // signed overflow, because the address space cannot be
+ // wrapped around.
+ //
+ // NOTE: This isn't strictly true, because you could have an
+ // object straddling the 2G address boundary in a 32-bit address
+ // space (for example). We really want to model this as a "has
+ // no signed/unsigned wrap" where the base pointer is treated as
+ // unsigned and the increment is known to not have signed
+ // wrapping.
+ //
+ // This is a highly theoretical concern though, and this is good
+ // enough for all cases we know of at this point. :)
+ //
+ HasNSW |= GEP->isInBounds();
}
const SCEV *StartVal = getSCEV(StartValueV);
// 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.
+ bool isInBounds = GEP->isInBounds();
const Type *IntPtrTy = getEffectiveSCEVType(GEP->getType());
Value *Base = GEP->getOperand(0);
IndexS = getTruncateOrSignExtend(IndexS, IntPtrTy);
// Multiply the index by the element size to compute the element offset.
- const SCEV *LocalOffset = getMulExpr(IndexS, ElementSize);
+ const SCEV *LocalOffset = getMulExpr(IndexS, ElementSize, /*NUW*/ false,
+ /*NSW*/ isInBounds);
// Add the element offset to the running total offset.
TotalOffset = getAddExpr(TotalOffset, LocalOffset);
const SCEV *BaseS = getSCEV(Base);
// Add the total offset from all the GEP indices to the base.
- return getAddExpr(BaseS, TotalOffset);
+ return getAddExpr(BaseS, TotalOffset, /*NUW*/ false,
+ /*NSW*/ isInBounds);
}
/// GetMinTrailingZeros - Determine the minimum number of zero bits that S is
///
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 C is a single bit, it may be in the sign-bit position
// before the zero-extend. In this case, represent the xor
// using an add, which is equivalent, and re-apply the zext.
- APInt Trunc = APInt(CI->getValue()).trunc(Z0TySize);
- if (APInt(Trunc).zext(getTypeSizeInBits(UTy)) == CI->getValue() &&
+ APInt Trunc = CI->getValue().trunc(Z0TySize);
+ if (Trunc.zext(getTypeSizeInBits(UTy)) == CI->getValue() &&
Trunc.isSignBit())
return getZeroExtendExpr(getAddExpr(Z0, getConstant(Trunc)),
UTy);
// backedge-taken count, which could result in infinite recursion.
std::pair<std::map<const Loop *, BackedgeTakenInfo>::iterator, bool> Pair =
BackedgeTakenCounts.insert(std::make_pair(L, getCouldNotCompute()));
- if (Pair.second) {
- BackedgeTakenInfo BECount = ComputeBackedgeTakenCount(L);
- if (BECount.Exact != getCouldNotCompute()) {
- assert(isLoopInvariant(BECount.Exact, L) &&
- isLoopInvariant(BECount.Max, L) &&
- "Computed backedge-taken count isn't loop invariant for loop!");
- ++NumTripCountsComputed;
+ if (!Pair.second)
+ return Pair.first->second;
+
+ BackedgeTakenInfo BECount = ComputeBackedgeTakenCount(L);
+ if (BECount.Exact != getCouldNotCompute()) {
+ assert(isLoopInvariant(BECount.Exact, L) &&
+ isLoopInvariant(BECount.Max, L) &&
+ "Computed backedge-taken count isn't loop invariant for loop!");
+ ++NumTripCountsComputed;
+ // Update the value in the map.
+ Pair.first->second = BECount;
+ } else {
+ if (BECount.Max != getCouldNotCompute())
// Update the value in the map.
Pair.first->second = BECount;
- } else {
- if (BECount.Max != getCouldNotCompute())
- // Update the value in the map.
- Pair.first->second = BECount;
- if (isa<PHINode>(L->getHeader()->begin()))
- // Only count loops that have phi nodes as not being computable.
- ++NumTripCountsNotComputed;
- }
-
- // Now that we know more about the trip count for this loop, forget any
- // existing SCEV values for PHI nodes in this loop since they are only
- // conservative estimates made without the benefit of trip count
- // information. This is similar to the code in forgetLoop, except that
- // it handles SCEVUnknown PHI nodes specially.
- if (BECount.hasAnyInfo()) {
- SmallVector<Instruction *, 16> Worklist;
- PushLoopPHIs(L, Worklist);
-
- SmallPtrSet<Instruction *, 8> Visited;
- while (!Worklist.empty()) {
- Instruction *I = Worklist.pop_back_val();
- if (!Visited.insert(I)) continue;
-
- ValueExprMapType::iterator It =
- ValueExprMap.find(static_cast<Value *>(I));
- if (It != ValueExprMap.end()) {
- const SCEV *Old = It->second;
-
- // SCEVUnknown for a PHI either means that it has an unrecognized
- // structure, or it's a PHI that's in the progress of being computed
- // by createNodeForPHI. In the former case, additional loop trip
- // count information isn't going to change anything. In the later
- // case, createNodeForPHI will perform the necessary updates on its
- // own when it gets to that point.
- if (!isa<PHINode>(I) || !isa<SCEVUnknown>(Old)) {
- forgetMemoizedResults(Old);
- ValueExprMap.erase(It);
- }
- if (PHINode *PN = dyn_cast<PHINode>(I))
- ConstantEvolutionLoopExitValue.erase(PN);
+ if (isa<PHINode>(L->getHeader()->begin()))
+ // Only count loops that have phi nodes as not being computable.
+ ++NumTripCountsNotComputed;
+ }
+
+ // Now that we know more about the trip count for this loop, forget any
+ // existing SCEV values for PHI nodes in this loop since they are only
+ // conservative estimates made without the benefit of trip count
+ // information. This is similar to the code in forgetLoop, except that
+ // it handles SCEVUnknown PHI nodes specially.
+ if (BECount.hasAnyInfo()) {
+ SmallVector<Instruction *, 16> Worklist;
+ PushLoopPHIs(L, Worklist);
+
+ SmallPtrSet<Instruction *, 8> Visited;
+ while (!Worklist.empty()) {
+ Instruction *I = Worklist.pop_back_val();
+ if (!Visited.insert(I)) continue;
+
+ ValueExprMapType::iterator It =
+ ValueExprMap.find(static_cast<Value *>(I));
+ if (It != ValueExprMap.end()) {
+ const SCEV *Old = It->second;
+
+ // SCEVUnknown for a PHI either means that it has an unrecognized
+ // structure, or it's a PHI that's in the progress of being computed
+ // by createNodeForPHI. In the former case, additional loop trip
+ // count information isn't going to change anything. In the later
+ // case, createNodeForPHI will perform the necessary updates on its
+ // own when it gets to that point.
+ if (!isa<PHINode>(I) || !isa<SCEVUnknown>(Old)) {
+ forgetMemoizedResults(Old);
+ ValueExprMap.erase(It);
}
-
- PushDefUseChildren(I, Worklist);
+ if (PHINode *PN = dyn_cast<PHINode>(I))
+ ConstantEvolutionLoopExitValue.erase(PN);
}
+
+ PushDefUseChildren(I, Worklist);
}
}
return Pair.first->second;
return ComputeBackedgeTakenCountExhaustively(L, ExitCond, !L->contains(TBB));
}
+static const SCEVAddRecExpr *
+isSimpleUnwrappingAddRec(const SCEV *S, const Loop *L) {
+ const SCEVAddRecExpr *SA = dyn_cast<SCEVAddRecExpr>(S);
+
+ // The SCEV must be an addrec of this loop.
+ if (!SA || SA->getLoop() != L || !SA->isAffine())
+ return 0;
+
+ // The SCEV must be known to not wrap in some way to be interesting.
+ if (!SA->hasNoUnsignedWrap() && !SA->hasNoSignedWrap())
+ return 0;
+
+ // The stride must be a constant so that we know if it is striding up or down.
+ if (!isa<SCEVConstant>(SA->getOperand(1)))
+ return 0;
+ return SA;
+}
+
+/// getMinusSCEVForExitTest - When considering an exit test for a loop with a
+/// "x != y" exit test, we turn this into a computation that evaluates x-y != 0,
+/// and this function returns the expression to use for x-y. We know and take
+/// advantage of the fact that this subtraction is only being used in a
+/// comparison by zero context.
+///
+static const SCEV *getMinusSCEVForExitTest(const SCEV *LHS, const SCEV *RHS,
+ const Loop *L, ScalarEvolution &SE) {
+ // If either LHS or RHS is an AddRec SCEV (of this loop) that is known to not
+ // wrap (either NSW or NUW), then we know that the value will either become
+ // the other one (and thus the loop terminates), that the loop will terminate
+ // through some other exit condition first, or that the loop has undefined
+ // behavior. This information is useful when the addrec has a stride that is
+ // != 1 or -1, because it means we can't "miss" the exit value.
+ //
+ // In any of these three cases, it is safe to turn the exit condition into a
+ // "counting down" AddRec (to zero) by subtracting the two inputs as normal,
+ // but since we know that the "end cannot be missed" we can force the
+ // resulting AddRec to be a NUW addrec. Since it is counting down, this means
+ // that the AddRec *cannot* pass zero.
+
+ // See if LHS and RHS are addrec's we can handle.
+ const SCEVAddRecExpr *LHSA = isSimpleUnwrappingAddRec(LHS, L);
+ const SCEVAddRecExpr *RHSA = isSimpleUnwrappingAddRec(RHS, L);
+
+ // If neither addrec is interesting, just return a minus.
+ if (RHSA == 0 && LHSA == 0)
+ return SE.getMinusSCEV(LHS, RHS);
+
+ // If only one of LHS and RHS are an AddRec of this loop, make sure it is LHS.
+ if (RHSA && LHSA == 0) {
+ // Safe because a-b === b-a for comparisons against zero.
+ std::swap(LHS, RHS);
+ std::swap(LHSA, RHSA);
+ }
+
+ // Handle the case when only one is advancing in a non-overflowing way.
+ if (RHSA == 0) {
+ // If RHS is loop varying, then we can't predict when LHS will cross it.
+ if (!SE.isLoopInvariant(RHS, L))
+ return SE.getMinusSCEV(LHS, RHS);
+
+ // If LHS has a positive stride, then we compute RHS-LHS, because the loop
+ // is counting up until it crosses RHS (which must be larger than LHS). If
+ // it is negative, we compute LHS-RHS because we're counting down to RHS.
+ const ConstantInt *Stride =
+ cast<SCEVConstant>(LHSA->getOperand(1))->getValue();
+ if (Stride->getValue().isNegative())
+ std::swap(LHS, RHS);
+
+ return SE.getMinusSCEV(RHS, LHS, true /*HasNUW*/);
+ }
+
+ // If both LHS and RHS are interesting, we have something like:
+ // a+i*4 != b+i*8.
+ const ConstantInt *LHSStride =
+ cast<SCEVConstant>(LHSA->getOperand(1))->getValue();
+ const ConstantInt *RHSStride =
+ cast<SCEVConstant>(RHSA->getOperand(1))->getValue();
+
+ // If the strides are equal, then this is just a (complex) loop invariant
+ // comparison of a and b.
+ if (LHSStride == RHSStride)
+ return SE.getMinusSCEV(LHSA->getStart(), RHSA->getStart());
+
+ // If the signs of the strides differ, then the negative stride is counting
+ // down to the positive stride.
+ if (LHSStride->getValue().isNegative() != RHSStride->getValue().isNegative()){
+ if (RHSStride->getValue().isNegative())
+ std::swap(LHS, RHS);
+ } else {
+ // If LHS's stride is smaller than RHS's stride, then "b" must be less than
+ // "a" and "b" is RHS is counting up (catching up) to LHS. This is true
+ // whether the strides are positive or negative.
+ if (RHSStride->getValue().slt(LHSStride->getValue()))
+ std::swap(LHS, RHS);
+ }
+
+ return SE.getMinusSCEV(LHS, RHS, true /*HasNUW*/);
+}
+
/// ComputeBackedgeTakenCountFromExitCondICmp - Compute the number of times the
/// backedge of the specified loop will execute if its exit condition
/// were a conditional branch of the ICmpInst ExitCond, TBB, and FBB.
switch (Cond) {
case ICmpInst::ICMP_NE: { // while (X != Y)
// Convert to: while (X-Y != 0)
- BackedgeTakenInfo BTI = HowFarToZero(getMinusSCEV(LHS, RHS), L);
+ BackedgeTakenInfo BTI = HowFarToZero(getMinusSCEVForExitTest(LHS, RHS, L,
+ *this), L);
if (BTI.hasAnyInfo()) return BTI;
break;
}
// bit width during computations.
APInt AD = A.lshr(Mult2).zext(BW + 1); // AD = A / D
APInt Mod(BW + 1, 0);
- Mod.set(BW - Mult2); // Mod = N / D
+ Mod.setBit(BW - Mult2); // Mod = N / D
APInt I = AD.multiplicativeInverse(Mod);
// 4. Compute the minimum unsigned root of the equation:
if (!AddRec || AddRec->getLoop() != L)
return getCouldNotCompute();
- if (AddRec->isAffine()) {
- // If this is an affine expression, the execution count of this branch is
- // the minimum unsigned root of the following equation:
- //
- // Start + Step*N = 0 (mod 2^BW)
- //
- // equivalent to:
- //
- // Step*N = -Start (mod 2^BW)
- //
- // where BW is the common bit width of Start and Step.
-
- // Get the initial value for the loop.
- const SCEV *Start = getSCEVAtScope(AddRec->getStart(),
- L->getParentLoop());
- const SCEV *Step = getSCEVAtScope(AddRec->getOperand(1),
- L->getParentLoop());
-
- if (const SCEVConstant *StepC = dyn_cast<SCEVConstant>(Step)) {
- // For now we handle only constant steps.
-
- // First, handle unitary steps.
- if (StepC->getValue()->equalsInt(1)) // 1*N = -Start (mod 2^BW), so:
- return getNegativeSCEV(Start); // N = -Start (as unsigned)
- if (StepC->getValue()->isAllOnesValue()) // -1*N = -Start (mod 2^BW), so:
- return Start; // N = Start (as unsigned)
-
- // Then, try to solve the above equation provided that Start is constant.
- if (const SCEVConstant *StartC = dyn_cast<SCEVConstant>(Start))
- return SolveLinEquationWithOverflow(StepC->getValue()->getValue(),
- -StartC->getValue()->getValue(),
- *this);
- }
- } else if (AddRec->isQuadratic() && AddRec->getType()->isIntegerTy()) {
- // If this is a quadratic (3-term) AddRec {L,+,M,+,N}, find the roots of
- // the quadratic equation to solve it.
- std::pair<const SCEV *,const SCEV *> Roots = SolveQuadraticEquation(AddRec,
- *this);
+ // If this is a quadratic (3-term) AddRec {L,+,M,+,N}, find the roots of
+ // the quadratic equation to solve it.
+ if (AddRec->isQuadratic() && AddRec->getType()->isIntegerTy()) {
+ std::pair<const SCEV *,const SCEV *> Roots =
+ SolveQuadraticEquation(AddRec, *this);
const SCEVConstant *R1 = dyn_cast<SCEVConstant>(Roots.first);
const SCEVConstant *R2 = dyn_cast<SCEVConstant>(Roots.second);
- if (R1) {
+ if (R1 && R2) {
#if 0
dbgs() << "HFTZ: " << *V << " - sol#1: " << *R1
<< " sol#2: " << *R2 << "\n";
#endif
// Pick the smallest positive root value.
if (ConstantInt *CB =
- dyn_cast<ConstantInt>(ConstantExpr::getICmp(ICmpInst::ICMP_ULT,
- R1->getValue(), R2->getValue()))) {
+ dyn_cast<ConstantInt>(ConstantExpr::getICmp(CmpInst::ICMP_ULT,
+ R1->getValue(),
+ R2->getValue()))) {
if (CB->getZExtValue() == false)
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
// value at this index. When solving for "X*X != 5", for example, we
// should not accept a root of 2.
return R1; // We found a quadratic root!
}
}
+ return getCouldNotCompute();
}
+ // Otherwise we can only handle this if it is affine.
+ if (!AddRec->isAffine())
+ return getCouldNotCompute();
+
+ // If this is an affine expression, the execution count of this branch is
+ // the minimum unsigned root of the following equation:
+ //
+ // Start + Step*N = 0 (mod 2^BW)
+ //
+ // equivalent to:
+ //
+ // Step*N = -Start (mod 2^BW)
+ //
+ // where BW is the common bit width of Start and Step.
+
+ // Get the initial value for the loop.
+ const SCEV *Start = getSCEVAtScope(AddRec->getStart(), L->getParentLoop());
+ const SCEV *Step = getSCEVAtScope(AddRec->getOperand(1), L->getParentLoop());
+
+ // If the AddRec is NUW, then (in an unsigned sense) it cannot be counting up
+ // to wrap to 0, it must be counting down to equal 0. Also, while counting
+ // down, it cannot "miss" 0 (which would cause it to wrap), regardless of what
+ // the stride is. As such, NUW addrec's will always become zero in
+ // "start / -stride" steps, and we know that the division is exact.
+ if (AddRec->hasNoUnsignedWrap())
+ // FIXME: We really want an "isexact" bit for udiv.
+ return getUDivExpr(Start, getNegativeSCEV(Step));
+
+ // For now we handle only constant steps.
+ const SCEVConstant *StepC = dyn_cast<SCEVConstant>(Step);
+ if (StepC == 0)
+ return getCouldNotCompute();
+
+ // First, handle unitary steps.
+ if (StepC->getValue()->equalsInt(1)) // 1*N = -Start (mod 2^BW), so:
+ return getNegativeSCEV(Start); // N = -Start (as unsigned)
+
+ if (StepC->getValue()->isAllOnesValue()) // -1*N = -Start (mod 2^BW), so:
+ return Start; // N = Start (as unsigned)
+
+ // Then, try to solve the above equation provided that Start is constant.
+ if (const SCEVConstant *StartC = dyn_cast<SCEVConstant>(Start))
+ return SolveLinEquationWithOverflow(StepC->getValue()->getValue(),
+ -StartC->getValue()->getValue(),
+ *this);
return getCouldNotCompute();
}