[SCEV][LAA] Support multiplication overflow computation

Add support for identifying multiplication overflow in SCEV.
This is needed in LoopAccessAnalysis and that limitation was worked around
by 484417a.
This allows early-exit vectorization to work as expected in
vect.stats.ll test without needing the workaround.

Author: annamthomas

llvm/lib/Analysis/Loads.cpp

@@ -26,6 +26,10 @@
 
 using namespace llvm;
 
+static cl::opt<bool>
+    UseSymbolicMaxBTCForDerefInLoop("use-symbolic-maxbtc-deref-loop",
+                                    cl::init(false));
+
 static bool isAligned(const Value *Base, Align Alignment,
                       const DataLayout &DL) {
   return Base->getPointerAlignment(DL) >= Alignment;
@@ -332,14 +336,15 @@ bool llvm::isDereferenceableAndAlignedInLoop(
   if (isa<SCEVCouldNotCompute>(MaxBECount))
     return false;
 
-  if (isa<SCEVCouldNotCompute>(BECount)) {
+  if (isa<SCEVCouldNotCompute>(BECount) && !UseSymbolicMaxBTCForDerefInLoop) {
     // TODO: Support symbolic max backedge taken counts for loops without
     // computable backedge taken counts.
     MaxBECount =
         Predicates
             ? SE.getPredicatedConstantMaxBackedgeTakenCount(L, *Predicates)
             : SE.getConstantMaxBackedgeTakenCount(L);
   }
+
   const auto &[AccessStart, AccessEnd] = getStartAndEndForAccess(
       L, PtrScev, LI->getType(), BECount, MaxBECount, &SE, nullptr, &DT, AC);
   if (isa<SCEVCouldNotCompute>(AccessStart) ||

llvm/lib/Analysis/LoopAccessAnalysis.cpp

@@ -193,17 +193,19 @@ RuntimeCheckingPtrGroup::RuntimeCheckingPtrGroup(
 /// Returns \p A + \p B, if it is guaranteed not to unsigned wrap. Otherwise
 /// return nullptr. \p A and \p B must have the same type.
 static const SCEV *addSCEVNoOverflow(const SCEV *A, const SCEV *B,
-                                     ScalarEvolution &SE) {
-  if (!SE.willNotOverflow(Instruction::Add, /*IsSigned=*/false, A, B))
+                                     ScalarEvolution &SE,
+                                     const Instruction *CtxI) {
+  if (!SE.willNotOverflow(Instruction::Add, /*IsSigned=*/false, A, B, CtxI))
     return nullptr;
   return SE.getAddExpr(A, B);
 }
 
 /// Returns \p A * \p B, if it is guaranteed not to unsigned wrap. Otherwise
 /// return nullptr. \p A and \p B must have the same type.
 static const SCEV *mulSCEVOverflow(const SCEV *A, const SCEV *B,
-                                   ScalarEvolution &SE) {
-  if (!SE.willNotOverflow(Instruction::Mul, /*IsSigned=*/false, A, B))
+                                   ScalarEvolution &SE,
+                                   const Instruction *CtxI) {
+  if (!SE.willNotOverflow(Instruction::Mul, /*IsSigned=*/false, A, B, CtxI))
     return nullptr;
   return SE.getMulExpr(A, B);
 }
@@ -232,11 +234,12 @@ evaluatePtrAddRecAtMaxBTCWillNotWrap(const SCEVAddRecExpr *AR,
   Type *WiderTy = SE.getWiderType(MaxBTC->getType(), Step->getType());
   const SCEV *DerefBytesSCEV = SE.getConstant(WiderTy, DerefBytes);
 
+  // Context which dominates the entire loop.
+  auto *CtxI = L->getLoopPredecessor()->getTerminator();
   // Check if we have a suitable dereferencable assumption we can use.
   if (!StartPtrV->canBeFreed()) {
     RetainedKnowledge DerefRK = getKnowledgeValidInContext(
-        StartPtrV, {Attribute::Dereferenceable}, *AC,
-        L->getLoopPredecessor()->getTerminator(), DT);
+        StartPtrV, {Attribute::Dereferenceable}, *AC, CtxI, DT);
     if (DerefRK) {
       DerefBytesSCEV = SE.getUMaxExpr(
           DerefBytesSCEV, SE.getConstant(WiderTy, DerefRK.ArgValue));
@@ -260,20 +263,21 @@ evaluatePtrAddRecAtMaxBTCWillNotWrap(const SCEVAddRecExpr *AR,
       SE.getMinusSCEV(AR->getStart(), StartPtr), WiderTy);
 
   const SCEV *OffsetAtLastIter =
-      mulSCEVOverflow(MaxBTC, SE.getAbsExpr(Step, /*IsNSW=*/false), SE);
+      mulSCEVOverflow(MaxBTC, SE.getAbsExpr(Step, /*IsNSW=*/false), SE, CtxI);
   if (!OffsetAtLastIter)
     return false;
 
   const SCEV *OffsetEndBytes = addSCEVNoOverflow(
-      OffsetAtLastIter, SE.getNoopOrZeroExtend(EltSize, WiderTy), SE);
+      OffsetAtLastIter, SE.getNoopOrZeroExtend(EltSize, WiderTy), SE, CtxI);
   if (!OffsetEndBytes)
     return false;
 
   if (IsKnownNonNegative) {
     // For positive steps, check if
     //  (AR->getStart() - StartPtr) + (MaxBTC  * Step) + EltSize <= DerefBytes,
     // while making sure none of the computations unsigned wrap themselves.
-    const SCEV *EndBytes = addSCEVNoOverflow(StartOffset, OffsetEndBytes, SE);
+    const SCEV *EndBytes =
+        addSCEVNoOverflow(StartOffset, OffsetEndBytes, SE, CtxI);
     if (!EndBytes)
       return false;
     return SE.isKnownPredicate(CmpInst::ICMP_ULE, EndBytes, DerefBytesSCEV);

llvm/lib/Analysis/ScalarEvolution.cpp

@@ -2337,15 +2337,23 @@ bool ScalarEvolution::willNotOverflow(Instruction::BinaryOps BinOp, bool Signed,
   // Can we use context to prove the fact we need?
   if (!CtxI)
     return false;
-  // TODO: Support mul.
-  if (BinOp == Instruction::Mul)
-    return false;
   auto *RHSC = dyn_cast<SCEVConstant>(RHS);
   // TODO: Lift this limitation.
   if (!RHSC)
     return false;
   APInt C = RHSC->getAPInt();
   unsigned NumBits = C.getBitWidth();
+  if (BinOp == Instruction::Mul) {
+    // Multiplying by 0 or 1 never overflows
+    if (C.isZero() || C.isOne())
+      return true;
+    if (Signed)
+      return false;
+    APInt Limit = APInt::getMaxValue(NumBits).udiv(C);
+    // To avoid overflow, we need to make sure that LHS <= MAX / C.
+    return isKnownPredicateAt(ICmpInst::ICMP_ULE, LHS, getConstant(Limit),
+                              CtxI);
+  }
   bool IsSub = (BinOp == Instruction::Sub);
   bool IsNegativeConst = (Signed && C.isNegative());
   // Compute the direction and magnitude by which we need to check overflow.

llvm/test/Transforms/LoopVectorize/vect.stats.ll

@@ -1,4 +1,4 @@
-; RUN: opt < %s -passes=loop-vectorize -force-vector-interleave=4 -force-vector-width=4 -debug-only=loop-vectorize -enable-early-exit-vectorization --disable-output -stats -S 2>&1 | FileCheck %s
+; RUN: opt < %s -passes=loop-vectorize -force-vector-interleave=4 -force-vector-width=4 -debug-only=loop-vectorize -enable-early-exit-vectorization -use-symbolic-maxbtc-deref-loop --disable-output -stats -S 2>&1 | FileCheck %s
 ; REQUIRES: asserts
 
 ; We have 3 loops, two of them are vectorizable (with one being early-exit