VPlanTransforms.cpp

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//===-- VPlanTransforms.cpp - Utility VPlan to VPlan transforms -----------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
///
/// \file
/// This file implements a set of utility VPlan to VPlan transformations.
///
//===----------------------------------------------------------------------===//
 
#include "VPlanTransforms.h"
#include "VPRecipeBuilder.h"
#include "VPlan.h"
#include "VPlanAnalysis.h"
#include "VPlanCFG.h"
#include "VPlanDominatorTree.h"
#include "VPlanHelpers.h"
#include "VPlanPatternMatch.h"
#include "VPlanUtils.h"
#include "VPlanVerifier.h"
#include "llvm/ADT/APInt.h"
#include "llvm/ADT/PostOrderIterator.h"
#include "llvm/ADT/STLExtras.h"
#include "llvm/ADT/SetOperations.h"
#include "llvm/ADT/SetVector.h"
#include "llvm/ADT/SmallPtrSet.h"
#include "llvm/ADT/TypeSwitch.h"
#include "llvm/Analysis/IVDescriptors.h"
#include "llvm/Analysis/InstSimplifyFolder.h"
#include "llvm/Analysis/LoopInfo.h"
#include "llvm/Analysis/MemoryLocation.h"
#include "llvm/Analysis/ScalarEvolutionPatternMatch.h"
#include "llvm/Analysis/ScopedNoAliasAA.h"
#include "llvm/Analysis/VectorUtils.h"
#include "llvm/IR/Intrinsics.h"
#include "llvm/IR/MDBuilder.h"
#include "llvm/IR/Metadata.h"
#include "llvm/Support/Casting.h"
#include "llvm/Support/TypeSize.h"
#include "llvm/Transforms/Utils/LoopUtils.h"
#include "llvm/Transforms/Utils/ScalarEvolutionExpander.h"
 
using namespace llvm;
using namespace VPlanPatternMatch;
using namespace SCEVPatternMatch;
 
bool VPlanTransforms::tryToConvertVPInstructionsToVPRecipes(
    VPlan &Plan, const TargetLibraryInfo &TLI) {
 
  ReversePostOrderTraversal<VPBlockDeepTraversalWrapper<VPBlockBase *>> RPOT(
      Plan.getVectorLoopRegion());
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(RPOT)) {
    // Skip blocks outside region
    if (!VPBB->getParent())
      break;
    VPRecipeBase *Term = VPBB->getTerminator();
    auto EndIter = Term ? Term->getIterator() : VPBB->end();
    // Introduce each ingredient into VPlan.
    for (VPRecipeBase &Ingredient :
         make_early_inc_range(make_range(VPBB->begin(), EndIter))) {
 
      VPValue *VPV = Ingredient.getVPSingleValue();
      if (!VPV->getUnderlyingValue())
        continue;
 
      Instruction *Inst = cast<Instruction>(VPV->getUnderlyingValue());
 
      VPRecipeBase *NewRecipe = nullptr;
      if (auto *PhiR = dyn_cast<VPPhi>(&Ingredient)) {
        auto *Phi = cast<PHINode>(PhiR->getUnderlyingValue());
        NewRecipe = new VPWidenPHIRecipe(Phi, nullptr, PhiR->getDebugLoc());
        for (VPValue *Op : PhiR->operands())
          NewRecipe->addOperand(Op);
      } else if (auto *VPI = dyn_cast<VPInstruction>(&Ingredient)) {
        assert(!isa<PHINode>(Inst) && "phis should be handled above");
        // Create VPWidenMemoryRecipe for loads and stores.
        if (LoadInst *Load = dyn_cast<LoadInst>(Inst)) {
          NewRecipe = new VPWidenLoadRecipe(
              *Load, Ingredient.getOperand(0), nullptr /*Mask*/,
              false /*Consecutive*/, *VPI, Ingredient.getDebugLoc());
        } else if (StoreInst *Store = dyn_cast<StoreInst>(Inst)) {
          NewRecipe = new VPWidenStoreRecipe(
              *Store, Ingredient.getOperand(1), Ingredient.getOperand(0),
              nullptr /*Mask*/, false /*Consecutive*/, *VPI,
              Ingredient.getDebugLoc());
        } else if (GetElementPtrInst *GEP = dyn_cast<GetElementPtrInst>(Inst)) {
          NewRecipe = new VPWidenGEPRecipe(GEP, Ingredient.operands(), *VPI,
                                           Ingredient.getDebugLoc());
        } else if (CallInst *CI = dyn_cast<CallInst>(Inst)) {
          Intrinsic::ID VectorID = getVectorIntrinsicIDForCall(CI, &TLI);
          if (VectorID == Intrinsic::not_intrinsic)
            return false;
 
          // The noalias.scope.decl intrinsic declares a noalias scope that
          // is valid for a single iteration. Emitting it as a single-scalar
          // replicate would incorrectly extend the scope across multiple
          // original iterations packed into one vector iteration.
          // FIXME: If we want to vectorize this loop, then we have to drop
          // all the associated !alias.scope and !noalias.
          if (VectorID == Intrinsic::experimental_noalias_scope_decl)
            return false;
 
          // These intrinsics are recognized by getVectorIntrinsicIDForCall
          // but are not widenable. Emit them as replicate instead of widening.
          if (VectorID == Intrinsic::assume ||
              VectorID == Intrinsic::lifetime_end ||
              VectorID == Intrinsic::lifetime_start ||
              VectorID == Intrinsic::sideeffect ||
              VectorID == Intrinsic::pseudoprobe) {
            // If the operand of llvm.assume holds before vectorization, it will
            // also hold per lane.
            // llvm.pseudoprobe requires to be duplicated per lane for accurate
            // sample count.
            const bool IsSingleScalar = VectorID != Intrinsic::assume &&
                                        VectorID != Intrinsic::pseudoprobe;
            NewRecipe = new VPReplicateRecipe(CI, Ingredient.operands(),
                                              /*IsSingleScalar=*/IsSingleScalar,
                                              /*Mask=*/nullptr, *VPI, *VPI,
                                              Ingredient.getDebugLoc());
          } else {
            NewRecipe = new VPWidenIntrinsicRecipe(
                *CI, VectorID, drop_end(Ingredient.operands()), CI->getType(),
                VPIRFlags(*CI), *VPI, CI->getDebugLoc());
          }
        } else if (auto *CI = dyn_cast<CastInst>(Inst)) {
          NewRecipe = new VPWidenCastRecipe(
              CI->getOpcode(), Ingredient.getOperand(0), CI->getType(), CI,
              VPIRFlags(*CI), VPIRMetadata(*CI));
        } else {
          NewRecipe = new VPWidenRecipe(*Inst, Ingredient.operands(), *VPI,
                                        *VPI, Ingredient.getDebugLoc());
        }
      } else {
        assert(isa<VPWidenIntOrFpInductionRecipe>(&Ingredient) &&
               "inductions must be created earlier");
        continue;
      }
 
      NewRecipe->insertBefore(&Ingredient);
      if (NewRecipe->getNumDefinedValues() == 1)
        VPV->replaceAllUsesWith(NewRecipe->getVPSingleValue());
      else
        assert(NewRecipe->getNumDefinedValues() == 0 &&
               "Only recpies with zero or one defined values expected");
      Ingredient.eraseFromParent();
    }
  }
  return true;
}
 
/// Helper for extra no-alias checks via known-safe recipe and SCEV.
class SinkStoreInfo {
  const SmallPtrSetImpl<VPRecipeBase *> &ExcludeRecipes;
  VPReplicateRecipe &GroupLeader;
  PredicatedScalarEvolution &PSE;
  const Loop &L;
  VPTypeAnalysis &TypeInfo;
 
  // Return true if \p A and \p B are known to not alias for all VFs in the
  // plan, checked via the distance between the accesses
  bool isNoAliasViaDistance(VPReplicateRecipe *A, VPReplicateRecipe *B) const {
    if (A->getOpcode() != Instruction::Store ||
        B->getOpcode() != Instruction::Store)
      return false;
 
    VPValue *AddrA = A->getOperand(1);
    const SCEV *SCEVA = vputils::getSCEVExprForVPValue(AddrA, PSE, &L);
    VPValue *AddrB = B->getOperand(1);
    const SCEV *SCEVB = vputils::getSCEVExprForVPValue(AddrB, PSE, &L);
    if (isa<SCEVCouldNotCompute>(SCEVA) || isa<SCEVCouldNotCompute>(SCEVB))
      return false;
 
    const APInt *Distance;
    ScalarEvolution &SE = *PSE.getSE();
    if (!match(SE.getMinusSCEV(SCEVA, SCEVB), m_scev_APInt(Distance)))
      return false;
 
    const DataLayout &DL = SE.getDataLayout();
    Type *TyA = TypeInfo.inferScalarType(A->getOperand(0));
    uint64_t SizeA = DL.getTypeStoreSize(TyA);
    Type *TyB = TypeInfo.inferScalarType(B->getOperand(0));
    uint64_t SizeB = DL.getTypeStoreSize(TyB);
 
    // Use the maximum store size to ensure no overlap from either direction.
    // Currently only handles fixed sizes, as it is only used for
    // replicating VPReplicateRecipes.
    uint64_t MaxStoreSize = std::max(SizeA, SizeB);
 
    auto VFs = B->getParent()->getPlan()->vectorFactors();
    ElementCount MaxVF = *max_element(VFs, ElementCount::isKnownLT);
    if (MaxVF.isScalable())
      return false;
    return Distance->abs().uge(
        MaxVF.multiplyCoefficientBy(MaxStoreSize).getFixedValue());
  }
 
public:
  SinkStoreInfo(const SmallPtrSetImpl<VPRecipeBase *> &ExcludeRecipes,
                VPReplicateRecipe &GroupLeader, PredicatedScalarEvolution &PSE,
                const Loop &L, VPTypeAnalysis &TypeInfo)
      : ExcludeRecipes(ExcludeRecipes), GroupLeader(GroupLeader), PSE(PSE),
        L(L), TypeInfo(TypeInfo) {}
 
  /// Return true if \p R should be skipped during alias checking, either
  /// because it's in the exclude set or because no-alias can be proven via
  /// SCEV.
  bool shouldSkip(VPRecipeBase &R) const {
    auto *Store = dyn_cast<VPReplicateRecipe>(&R);
    return ExcludeRecipes.contains(&R) ||
           (Store && isNoAliasViaDistance(Store, &GroupLeader));
  }
};
 
/// Check if a memory operation doesn't alias with memory operations using
/// scoped noalias metadata, in blocks in the single-successor chain between \p
/// FirstBB and \p LastBB. If \p SinkInfo is std::nullopt, only recipes that may
/// write to memory are checked (for load hoisting). Otherwise recipes that both
/// read and write memory are checked, and SCEV is used to prove no-alias
/// between the group leader and other replicate recipes (for store sinking).
static bool
canHoistOrSinkWithNoAliasCheck(const MemoryLocation &MemLoc,
                               VPBasicBlock *FirstBB, VPBasicBlock *LastBB,
                               std::optional<SinkStoreInfo> SinkInfo = {}) {
  bool CheckReads = SinkInfo.has_value();
  if (!MemLoc.AATags.Scope)
    return false;
 
  for (VPBasicBlock *VPBB :
       VPBlockUtils::blocksInSingleSuccessorChainBetween(FirstBB, LastBB)) {
    for (VPRecipeBase &R : *VPBB) {
      if (SinkInfo && SinkInfo->shouldSkip(R))
        continue;
 
      // Skip recipes that don't need checking.
      if (!R.mayWriteToMemory() && !(CheckReads && R.mayReadFromMemory()))
        continue;
 
      auto Loc = vputils::getMemoryLocation(R);
      if (!Loc)
        // Conservatively assume aliasing for memory operations without
        // location.
        return false;
 
      if (ScopedNoAliasAAResult::alias(*Loc, MemLoc) != AliasResult::NoAlias)
        return false;
    }
  }
  return true;
}
 
/// Collect either replicated Loads or Stores grouped by their address SCEV, in
/// a deep-traversal of the vector loop region in \p Plan.
template <unsigned Opcode>
static SmallVector<SmallVector<VPReplicateRecipe *, 4>>
collectGroupedReplicateMemOps(
    VPlan &Plan, PredicatedScalarEvolution &PSE, const Loop *L,
    function_ref<bool(VPReplicateRecipe *)> FilterFn) {
  static_assert(Opcode == Instruction::Load || Opcode == Instruction::Store,
                "Only Load and Store opcodes supported");
  constexpr bool IsLoad = (Opcode == Instruction::Load);
  SmallDenseMap<const SCEV *, SmallVector<VPReplicateRecipe *, 4>>
      RecipesByAddress;
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(
           vp_depth_first_deep(Plan.getVectorLoopRegion()->getEntry()))) {
    for (VPRecipeBase &R : *VPBB) {
      auto *RepR = dyn_cast<VPReplicateRecipe>(&R);
      if (!RepR || RepR->getOpcode() != Opcode || !FilterFn(RepR))
        continue;
 
      // For loads, operand 0 is address; for stores, operand 1 is address.
      VPValue *Addr = RepR->getOperand(IsLoad ? 0 : 1);
      const SCEV *AddrSCEV = vputils::getSCEVExprForVPValue(Addr, PSE, L);
      if (!isa<SCEVCouldNotCompute>(AddrSCEV))
        RecipesByAddress[AddrSCEV].push_back(RepR);
    }
  }
  auto Groups = to_vector(RecipesByAddress.values());
  VPDominatorTree VPDT(Plan);
  for (auto &Group : Groups) {
    // Sort mem ops by dominance order, with earliest (most dominating) first.
    stable_sort(Group, [&VPDT](VPReplicateRecipe *A, VPReplicateRecipe *B) {
      return VPDT.properlyDominates(A, B);
    });
  }
  return Groups;
}
 
/// Return true if we do not know how to (mechanically) hoist or sink \p R out
/// of a loop region.
static bool cannotHoistOrSinkRecipe(const VPRecipeBase &R) {
  // Assumes don't alias anything or throw; as long as they're guaranteed to
  // execute, they're safe to hoist.
  if (match(&R, m_Intrinsic<Intrinsic::assume>()))
    return false;
 
  // TODO: Relax checks in the future, e.g. we could also hoist reads, if their
  // memory location is not modified in the vector loop.
  if (R.mayHaveSideEffects() || R.mayReadFromMemory() || R.isPhi())
    return true;
 
  // Allocas cannot be hoisted.
  auto *RepR = dyn_cast<VPReplicateRecipe>(&R);
  return RepR && RepR->getOpcode() == Instruction::Alloca;
}
 
static bool sinkScalarOperands(VPlan &Plan) {
  auto Iter = vp_depth_first_deep(Plan.getEntry());
  bool ScalarVFOnly = Plan.hasScalarVFOnly();
  bool Changed = false;
 
  SetVector<std::pair<VPBasicBlock *, VPSingleDefRecipe *>> WorkList;
  auto InsertIfValidSinkCandidate = [ScalarVFOnly, &WorkList](
                                        VPBasicBlock *SinkTo, VPValue *Op) {
    auto *Candidate =
        dyn_cast_or_null<VPSingleDefRecipe>(Op->getDefiningRecipe());
    if (!Candidate)
      return;
 
    // We only know how to sink VPReplicateRecipes and VPScalarIVStepsRecipes
    // for now.
    if (!isa<VPReplicateRecipe, VPScalarIVStepsRecipe>(Candidate))
      return;
 
    if (Candidate->getParent() == SinkTo || cannotHoistOrSinkRecipe(*Candidate))
      return;
 
    if (auto *RepR = dyn_cast<VPReplicateRecipe>(Candidate))
      if (!ScalarVFOnly && RepR->isSingleScalar())
        return;
 
    WorkList.insert({SinkTo, Candidate});
  };
 
  // First, collect the operands of all recipes in replicate blocks as seeds for
  // sinking.
  for (VPRegionBlock *VPR : VPBlockUtils::blocksOnly<VPRegionBlock>(Iter)) {
    VPBasicBlock *EntryVPBB = VPR->getEntryBasicBlock();
    if (!VPR->isReplicator() || EntryVPBB->getSuccessors().size() != 2)
      continue;
    VPBasicBlock *VPBB = cast<VPBasicBlock>(EntryVPBB->getSuccessors().front());
    if (VPBB->getSingleSuccessor() != VPR->getExitingBasicBlock())
      continue;
    for (auto &Recipe : *VPBB)
      for (VPValue *Op : Recipe.operands())
        InsertIfValidSinkCandidate(VPBB, Op);
  }
 
  // Try to sink each replicate or scalar IV steps recipe in the worklist.
  for (unsigned I = 0; I != WorkList.size(); ++I) {
    VPBasicBlock *SinkTo;
    VPSingleDefRecipe *SinkCandidate;
    std::tie(SinkTo, SinkCandidate) = WorkList[I];
 
    // All recipe users of SinkCandidate must be in the same block SinkTo or all
    // users outside of SinkTo must only use the first lane of SinkCandidate. In
    // the latter case, we need to duplicate SinkCandidate.
    auto UsersOutsideSinkTo =
        make_filter_range(SinkCandidate->users(), [SinkTo](VPUser *U) {
          return cast<VPRecipeBase>(U)->getParent() != SinkTo;
        });
    if (any_of(UsersOutsideSinkTo, [SinkCandidate](VPUser *U) {
          return !U->usesFirstLaneOnly(SinkCandidate);
        }))
      continue;
    bool NeedsDuplicating = !UsersOutsideSinkTo.empty();
 
    if (NeedsDuplicating) {
      if (ScalarVFOnly)
        continue;
      VPSingleDefRecipe *Clone;
      if (auto *SinkCandidateRepR =
              dyn_cast<VPReplicateRecipe>(SinkCandidate)) {
        // TODO: Handle converting to uniform recipes as separate transform,
        // then cloning should be sufficient here.
        Instruction *I = SinkCandidate->getUnderlyingInstr();
        Clone = new VPReplicateRecipe(I, SinkCandidate->operands(), true,
                                      nullptr /*Mask*/, *SinkCandidateRepR,
                                      *SinkCandidateRepR);
        // TODO: add ".cloned" suffix to name of Clone's VPValue.
      } else {
        Clone = SinkCandidate->clone();
      }
 
      Clone->insertBefore(SinkCandidate);
      SinkCandidate->replaceUsesWithIf(Clone, [SinkTo](VPUser &U, unsigned) {
        return cast<VPRecipeBase>(&U)->getParent() != SinkTo;
      });
    }
    SinkCandidate->moveBefore(*SinkTo, SinkTo->getFirstNonPhi());
    for (VPValue *Op : SinkCandidate->operands())
      InsertIfValidSinkCandidate(SinkTo, Op);
    Changed = true;
  }
  return Changed;
}
 
/// If \p R is a region with a VPBranchOnMaskRecipe in the entry block, return
/// the mask.
static VPValue *getPredicatedMask(VPRegionBlock *R) {
  auto *EntryBB = dyn_cast<VPBasicBlock>(R->getEntry());
  if (!EntryBB || EntryBB->size() != 1 ||
      !isa<VPBranchOnMaskRecipe>(EntryBB->begin()))
    return nullptr;
 
  return cast<VPBranchOnMaskRecipe>(&*EntryBB->begin())->getOperand(0);
}
 
/// If \p R is a triangle region, return the 'then' block of the triangle.
static VPBasicBlock *getPredicatedThenBlock(VPRegionBlock *R) {
  auto *EntryBB = cast<VPBasicBlock>(R->getEntry());
  if (EntryBB->getNumSuccessors() != 2)
    return nullptr;
 
  auto *Succ0 = dyn_cast<VPBasicBlock>(EntryBB->getSuccessors()[0]);
  auto *Succ1 = dyn_cast<VPBasicBlock>(EntryBB->getSuccessors()[1]);
  if (!Succ0 || !Succ1)
    return nullptr;
 
  if (Succ0->getNumSuccessors() + Succ1->getNumSuccessors() != 1)
    return nullptr;
  if (Succ0->getSingleSuccessor() == Succ1)
    return Succ0;
  if (Succ1->getSingleSuccessor() == Succ0)
    return Succ1;
  return nullptr;
}
 
// Merge replicate regions in their successor region, if a replicate region
// is connected to a successor replicate region with the same predicate by a
// single, empty VPBasicBlock.
static bool mergeReplicateRegionsIntoSuccessors(VPlan &Plan) {
  SmallPtrSet<VPRegionBlock *, 4> TransformedRegions;
 
  // Collect replicate regions followed by an empty block, followed by another
  // replicate region with matching masks to process front. This is to avoid
  // iterator invalidation issues while merging regions.
  SmallVector<VPRegionBlock *, 8> WorkList;
  for (VPRegionBlock *Region1 : VPBlockUtils::blocksOnly<VPRegionBlock>(
           vp_depth_first_deep(Plan.getEntry()))) {
    if (!Region1->isReplicator())
      continue;
    auto *MiddleBasicBlock =
        dyn_cast_or_null<VPBasicBlock>(Region1->getSingleSuccessor());
    if (!MiddleBasicBlock || !MiddleBasicBlock->empty())
      continue;
 
    auto *Region2 =
        dyn_cast_or_null<VPRegionBlock>(MiddleBasicBlock->getSingleSuccessor());
    if (!Region2 || !Region2->isReplicator())
      continue;
 
    VPValue *Mask1 = getPredicatedMask(Region1);
    VPValue *Mask2 = getPredicatedMask(Region2);
    if (!Mask1 || Mask1 != Mask2)
      continue;
 
    assert(Mask1 && Mask2 && "both region must have conditions");
    WorkList.push_back(Region1);
  }
 
  // Move recipes from Region1 to its successor region, if both are triangles.
  for (VPRegionBlock *Region1 : WorkList) {
    if (TransformedRegions.contains(Region1))
      continue;
    auto *MiddleBasicBlock = cast<VPBasicBlock>(Region1->getSingleSuccessor());
    auto *Region2 = cast<VPRegionBlock>(MiddleBasicBlock->getSingleSuccessor());
 
    VPBasicBlock *Then1 = getPredicatedThenBlock(Region1);
    VPBasicBlock *Then2 = getPredicatedThenBlock(Region2);
    if (!Then1 || !Then2)
      continue;
 
    // Note: No fusion-preventing memory dependencies are expected in either
    // region. Such dependencies should be rejected during earlier dependence
    // checks, which guarantee accesses can be re-ordered for vectorization.
    //
    // Move recipes to the successor region.
    for (VPRecipeBase &ToMove : make_early_inc_range(reverse(*Then1)))
      ToMove.moveBefore(*Then2, Then2->getFirstNonPhi());
 
    auto *Merge1 = cast<VPBasicBlock>(Then1->getSingleSuccessor());
    auto *Merge2 = cast<VPBasicBlock>(Then2->getSingleSuccessor());
 
    // Move VPPredInstPHIRecipes from the merge block to the successor region's
    // merge block. Update all users inside the successor region to use the
    // original values.
    for (VPRecipeBase &Phi1ToMove : make_early_inc_range(reverse(*Merge1))) {
      VPValue *PredInst1 =
          cast<VPPredInstPHIRecipe>(&Phi1ToMove)->getOperand(0);
      VPValue *Phi1ToMoveV = Phi1ToMove.getVPSingleValue();
      Phi1ToMoveV->replaceUsesWithIf(PredInst1, [Then2](VPUser &U, unsigned) {
        return cast<VPRecipeBase>(&U)->getParent() == Then2;
      });
 
      // Remove phi recipes that are unused after merging the regions.
      if (Phi1ToMove.getVPSingleValue()->getNumUsers() == 0) {
        Phi1ToMove.eraseFromParent();
        continue;
      }
      Phi1ToMove.moveBefore(*Merge2, Merge2->begin());
    }
 
    // Remove the dead recipes in Region1's entry block.
    for (VPRecipeBase &R :
         make_early_inc_range(reverse(*Region1->getEntryBasicBlock())))
      R.eraseFromParent();
 
    // Finally, remove the first region.
    for (VPBlockBase *Pred : make_early_inc_range(Region1->getPredecessors())) {
      VPBlockUtils::disconnectBlocks(Pred, Region1);
      VPBlockUtils::connectBlocks(Pred, MiddleBasicBlock);
    }
    VPBlockUtils::disconnectBlocks(Region1, MiddleBasicBlock);
    TransformedRegions.insert(Region1);
  }
 
  return !TransformedRegions.empty();
}
 
static VPRegionBlock *createReplicateRegion(VPReplicateRecipe *PredRecipe,
                                            VPlan &Plan) {
  Instruction *Instr = PredRecipe->getUnderlyingInstr();
  // Build the triangular if-then region.
  std::string RegionName = (Twine("pred.") + Instr->getOpcodeName()).str();
  assert(Instr->getParent() && "Predicated instruction not in any basic block");
  auto *BlockInMask = PredRecipe->getMask();
  auto *MaskDef = BlockInMask->getDefiningRecipe();
  auto *BOMRecipe = new VPBranchOnMaskRecipe(
      BlockInMask, MaskDef ? MaskDef->getDebugLoc() : DebugLoc::getUnknown());
  auto *Entry =
      Plan.createVPBasicBlock(Twine(RegionName) + ".entry", BOMRecipe);
 
  // Replace predicated replicate recipe with a replicate recipe without a
  // mask but in the replicate region.
  auto *RecipeWithoutMask = new VPReplicateRecipe(
      PredRecipe->getUnderlyingInstr(), drop_end(PredRecipe->operands()),
      PredRecipe->isSingleScalar(), nullptr /*Mask*/, *PredRecipe, *PredRecipe,
      PredRecipe->getDebugLoc());
  auto *Pred =
      Plan.createVPBasicBlock(Twine(RegionName) + ".if", RecipeWithoutMask);
 
  VPPredInstPHIRecipe *PHIRecipe = nullptr;
  if (PredRecipe->getNumUsers() != 0) {
    PHIRecipe = new VPPredInstPHIRecipe(RecipeWithoutMask,
                                        RecipeWithoutMask->getDebugLoc());
    PredRecipe->replaceAllUsesWith(PHIRecipe);
    PHIRecipe->setOperand(0, RecipeWithoutMask);
  }
  PredRecipe->eraseFromParent();
  auto *Exiting =
      Plan.createVPBasicBlock(Twine(RegionName) + ".continue", PHIRecipe);
  VPRegionBlock *Region =
      Plan.createReplicateRegion(Entry, Exiting, RegionName);
 
  // Note: first set Entry as region entry and then connect successors starting
  // from it in order, to propagate the "parent" of each VPBasicBlock.
  VPBlockUtils::insertTwoBlocksAfter(Pred, Exiting, Entry);
  VPBlockUtils::connectBlocks(Pred, Exiting);
 
  return Region;
}
 
static void addReplicateRegions(VPlan &Plan) {
  SmallVector<VPReplicateRecipe *> WorkList;
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(
           vp_depth_first_deep(Plan.getEntry()))) {
    for (VPRecipeBase &R : *VPBB)
      if (auto *RepR = dyn_cast<VPReplicateRecipe>(&R)) {
        if (RepR->isPredicated())
          WorkList.push_back(RepR);
      }
  }
 
  unsigned BBNum = 0;
  for (VPReplicateRecipe *RepR : WorkList) {
    VPBasicBlock *CurrentBlock = RepR->getParent();
    VPBasicBlock *SplitBlock = CurrentBlock->splitAt(RepR->getIterator());
 
    BasicBlock *OrigBB = RepR->getUnderlyingInstr()->getParent();
    SplitBlock->setName(
        OrigBB->hasName() ? OrigBB->getName() + "." + Twine(BBNum++) : "");
    // Record predicated instructions for above packing optimizations.
    VPRegionBlock *Region = createReplicateRegion(RepR, Plan);
    Region->setParent(CurrentBlock->getParent());
    VPBlockUtils::insertOnEdge(CurrentBlock, SplitBlock, Region);
 
    VPRegionBlock *ParentRegion = Region->getParent();
    if (ParentRegion && ParentRegion->getExiting() == CurrentBlock)
      ParentRegion->setExiting(SplitBlock);
  }
}
 
bool VPlanTransforms::mergeBlocksIntoPredecessors(VPlan &Plan) {
  SmallVector<VPBasicBlock *> WorkList;
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(
           vp_depth_first_deep(Plan.getEntry()))) {
    // Don't fold the blocks in the skeleton of the Plan into their single
    // predecessors for now.
    // TODO: Remove restriction once more of the skeleton is modeled in VPlan.
    if (!VPBB->getParent())
      continue;
    auto *PredVPBB =
        dyn_cast_or_null<VPBasicBlock>(VPBB->getSinglePredecessor());
    if (!PredVPBB || PredVPBB->getNumSuccessors() != 1 ||
        isa<VPIRBasicBlock>(PredVPBB))
      continue;
    WorkList.push_back(VPBB);
  }
 
  for (VPBasicBlock *VPBB : WorkList) {
    VPBasicBlock *PredVPBB = cast<VPBasicBlock>(VPBB->getSinglePredecessor());
    for (VPRecipeBase &R : make_early_inc_range(*VPBB))
      R.moveBefore(*PredVPBB, PredVPBB->end());
    VPBlockUtils::disconnectBlocks(PredVPBB, VPBB);
    auto *ParentRegion = VPBB->getParent();
    if (ParentRegion && ParentRegion->getExiting() == VPBB)
      ParentRegion->setExiting(PredVPBB);
    VPBlockUtils::transferSuccessors(VPBB, PredVPBB);
    // VPBB is now dead and will be cleaned up when the plan gets destroyed.
  }
  return !WorkList.empty();
}
 
void VPlanTransforms::createAndOptimizeReplicateRegions(VPlan &Plan) {
  // Convert masked VPReplicateRecipes to if-then region blocks.
  addReplicateRegions(Plan);
 
  bool ShouldSimplify = true;
  while (ShouldSimplify) {
    ShouldSimplify = sinkScalarOperands(Plan);
    ShouldSimplify |= mergeReplicateRegionsIntoSuccessors(Plan);
    ShouldSimplify |= mergeBlocksIntoPredecessors(Plan);
  }
}
 
/// Remove redundant casts of inductions.
///
/// Such redundant casts are casts of induction variables that can be ignored,
/// because we already proved that the casted phi is equal to the uncasted phi
/// in the vectorized loop. There is no need to vectorize the cast - the same
/// value can be used for both the phi and casts in the vector loop.
static void removeRedundantInductionCasts(VPlan &Plan) {
  for (auto &Phi : Plan.getVectorLoopRegion()->getEntryBasicBlock()->phis()) {
    auto *IV = dyn_cast<VPWidenIntOrFpInductionRecipe>(&Phi);
    if (!IV || IV->getTruncInst())
      continue;
 
    // A sequence of IR Casts has potentially been recorded for IV, which
    // *must be bypassed* when the IV is vectorized, because the vectorized IV
    // will produce the desired casted value. This sequence forms a def-use
    // chain and is provided in reverse order, ending with the cast that uses
    // the IV phi. Search for the recipe of the last cast in the chain and
    // replace it with the original IV. Note that only the final cast is
    // expected to have users outside the cast-chain and the dead casts left
    // over will be cleaned up later.
    ArrayRef<Instruction *> Casts = IV->getInductionDescriptor().getCastInsts();
    VPValue *FindMyCast = IV;
    for (Instruction *IRCast : reverse(Casts)) {
      VPSingleDefRecipe *FoundUserCast = nullptr;
      for (auto *U : FindMyCast->users()) {
        auto *UserCast = dyn_cast<VPSingleDefRecipe>(U);
        if (UserCast && UserCast->getUnderlyingValue() == IRCast) {
          FoundUserCast = UserCast;
          break;
        }
      }
      FindMyCast = FoundUserCast;
    }
    FindMyCast->replaceAllUsesWith(IV);
  }
}
 
/// Try to replace VPWidenCanonicalIVRecipes with a widened canonical IV
/// recipe, if it exists.
static void removeRedundantCanonicalIVs(VPlan &Plan) {
  VPRegionBlock *LoopRegion = Plan.getVectorLoopRegion();
  VPCanonicalIVPHIRecipe *CanonicalIV = LoopRegion->getCanonicalIV();
  VPWidenCanonicalIVRecipe *WidenNewIV = nullptr;
  for (VPUser *U : CanonicalIV->users()) {
    WidenNewIV = dyn_cast<VPWidenCanonicalIVRecipe>(U);
    if (WidenNewIV)
      break;
  }
 
  if (!WidenNewIV)
    return;
 
  VPBasicBlock *HeaderVPBB = LoopRegion->getEntryBasicBlock();
  for (VPRecipeBase &Phi : HeaderVPBB->phis()) {
    auto *WidenOriginalIV = dyn_cast<VPWidenIntOrFpInductionRecipe>(&Phi);
 
    if (!WidenOriginalIV || !WidenOriginalIV->isCanonical())
      continue;
 
    // Replace WidenNewIV with WidenOriginalIV if WidenOriginalIV provides
    // everything WidenNewIV's users need. That is, WidenOriginalIV will
    // generate a vector phi or all users of WidenNewIV demand the first lane
    // only.
    if (Plan.hasScalarVFOnly() ||
        !vputils::onlyScalarValuesUsed(WidenOriginalIV) ||
        vputils::onlyFirstLaneUsed(WidenNewIV)) {
      // We are replacing a wide canonical iv with a suitable wide induction.
      // This is used to compute header mask, hence all lanes will be used and
      // we need to drop wrap flags only applying to lanes guranteed to execute
      // in the original scalar loop.
      WidenOriginalIV->dropPoisonGeneratingFlags();
      WidenNewIV->replaceAllUsesWith(WidenOriginalIV);
      WidenNewIV->eraseFromParent();
      return;
    }
  }
}
 
/// Returns true if \p R is dead and can be removed.
static bool isDeadRecipe(VPRecipeBase &R) {
  // Do remove conditional assume instructions as their conditions may be
  // flattened.
  auto *RepR = dyn_cast<VPReplicateRecipe>(&R);
  bool IsConditionalAssume = RepR && RepR->isPredicated() &&
                             match(RepR, m_Intrinsic<Intrinsic::assume>());
  if (IsConditionalAssume)
    return true;
 
  if (R.mayHaveSideEffects())
    return false;
 
  // Recipe is dead if no user keeps the recipe alive.
  return all_of(R.definedValues(),
                [](VPValue *V) { return V->getNumUsers() == 0; });
}
 
void VPlanTransforms::removeDeadRecipes(VPlan &Plan) {
  PostOrderTraversal<VPBlockDeepTraversalWrapper<VPBlockBase *>> POT(
      Plan.getEntry());
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(POT)) {
    // The recipes in the block are processed in reverse order, to catch chains
    // of dead recipes.
    for (VPRecipeBase &R : make_early_inc_range(reverse(*VPBB))) {
      if (isDeadRecipe(R)) {
        R.eraseFromParent();
        continue;
      }
 
      // Check if R is a dead VPPhi <-> update cycle and remove it.
      VPValue *Start, *Incoming;
      if (!match(&R, m_VPPhi(m_VPValue(Start), m_VPValue(Incoming))))
        continue;
      auto *PhiR = cast<VPPhi>(&R);
      VPUser *PhiUser = PhiR->getSingleUser();
      if (!PhiUser)
        continue;
      if (PhiUser != Incoming->getDefiningRecipe() ||
          Incoming->getNumUsers() != 1)
        continue;
      PhiR->replaceAllUsesWith(Start);
      PhiR->eraseFromParent();
      Incoming->getDefiningRecipe()->eraseFromParent();
    }
  }
}
 
static VPScalarIVStepsRecipe *
createScalarIVSteps(VPlan &Plan, InductionDescriptor::InductionKind Kind,
                    Instruction::BinaryOps InductionOpcode,
                    FPMathOperator *FPBinOp, Instruction *TruncI,
                    VPIRValue *StartV, VPValue *Step, DebugLoc DL,
                    VPBuilder &Builder) {
  VPRegionBlock *LoopRegion = Plan.getVectorLoopRegion();
  VPBasicBlock *HeaderVPBB = LoopRegion->getEntryBasicBlock();
  VPCanonicalIVPHIRecipe *CanonicalIV = LoopRegion->getCanonicalIV();
  VPSingleDefRecipe *BaseIV = Builder.createDerivedIV(
      Kind, FPBinOp, StartV, CanonicalIV, Step, "offset.idx");
 
  // Truncate base induction if needed.
  VPTypeAnalysis TypeInfo(Plan);
  Type *ResultTy = TypeInfo.inferScalarType(BaseIV);
  if (TruncI) {
    Type *TruncTy = TruncI->getType();
    assert(ResultTy->getScalarSizeInBits() > TruncTy->getScalarSizeInBits() &&
           "Not truncating.");
    assert(ResultTy->isIntegerTy() && "Truncation requires an integer type");
    BaseIV = Builder.createScalarCast(Instruction::Trunc, BaseIV, TruncTy, DL);
    ResultTy = TruncTy;
  }
 
  // Truncate step if needed.
  Type *StepTy = TypeInfo.inferScalarType(Step);
  if (ResultTy != StepTy) {
    assert(StepTy->getScalarSizeInBits() > ResultTy->getScalarSizeInBits() &&
           "Not truncating.");
    assert(StepTy->isIntegerTy() && "Truncation requires an integer type");
    auto *VecPreheader =
        cast<VPBasicBlock>(HeaderVPBB->getSingleHierarchicalPredecessor());
    VPBuilder::InsertPointGuard Guard(Builder);
    Builder.setInsertPoint(VecPreheader);
    Step = Builder.createScalarCast(Instruction::Trunc, Step, ResultTy, DL);
  }
  return Builder.createScalarIVSteps(InductionOpcode, FPBinOp, BaseIV, Step,
                                     &Plan.getVF(), DL);
}
 
static SmallVector<VPUser *> collectUsersRecursively(VPValue *V) {
  SetVector<VPUser *> Users(llvm::from_range, V->users());
  for (unsigned I = 0; I != Users.size(); ++I) {
    VPRecipeBase *Cur = cast<VPRecipeBase>(Users[I]);
    if (isa<VPHeaderPHIRecipe>(Cur))
      continue;
    for (VPValue *V : Cur->definedValues())
      Users.insert_range(V->users());
  }
  return Users.takeVector();
}
 
/// Scalarize a VPWidenPointerInductionRecipe by replacing it with a PtrAdd
/// (IndStart, ScalarIVSteps (0, Step)). This is used when the recipe only
/// generates scalar values.
static VPValue *
scalarizeVPWidenPointerInduction(VPWidenPointerInductionRecipe *PtrIV,
                                 VPlan &Plan, VPBuilder &Builder) {
  const InductionDescriptor &ID = PtrIV->getInductionDescriptor();
  VPIRValue *StartV = Plan.getZero(ID.getStep()->getType());
  VPValue *StepV = PtrIV->getOperand(1);
  VPScalarIVStepsRecipe *Steps = createScalarIVSteps(
      Plan, InductionDescriptor::IK_IntInduction, Instruction::Add, nullptr,
      nullptr, StartV, StepV, PtrIV->getDebugLoc(), Builder);
 
  return Builder.createPtrAdd(PtrIV->getStartValue(), Steps,
                              PtrIV->getDebugLoc(), "next.gep");
}
 
/// Legalize VPWidenPointerInductionRecipe, by replacing it with a PtrAdd
/// (IndStart, ScalarIVSteps (0, Step)) if only its scalar values are used, as
/// VPWidenPointerInductionRecipe will generate vectors only. If some users
/// require vectors while other require scalars, the scalar uses need to extract
/// the scalars from the generated vectors (Note that this is different to how
/// int/fp inductions are handled). Legalize extract-from-ends using uniform
/// VPReplicateRecipe of wide inductions to use regular VPReplicateRecipe, so
/// the correct end value is available. Also optimize
/// VPWidenIntOrFpInductionRecipe, if any of its users needs scalar values, by
/// providing them scalar steps built on the canonical scalar IV and update the
/// original IV's users. This is an optional optimization to reduce the needs of
/// vector extracts.
static void legalizeAndOptimizeInductions(VPlan &Plan) {
  VPBasicBlock *HeaderVPBB = Plan.getVectorLoopRegion()->getEntryBasicBlock();
  bool HasOnlyVectorVFs = !Plan.hasScalarVFOnly();
  VPBuilder Builder(HeaderVPBB, HeaderVPBB->getFirstNonPhi());
  for (VPRecipeBase &Phi : HeaderVPBB->phis()) {
    auto *PhiR = dyn_cast<VPWidenInductionRecipe>(&Phi);
    if (!PhiR)
      continue;
 
    // Try to narrow wide and replicating recipes to uniform recipes, based on
    // VPlan analysis.
    // TODO: Apply to all recipes in the future, to replace legacy uniformity
    // analysis.
    auto Users = collectUsersRecursively(PhiR);
    for (VPUser *U : reverse(Users)) {
      auto *Def = dyn_cast<VPRecipeWithIRFlags>(U);
      auto *RepR = dyn_cast<VPReplicateRecipe>(U);
      // Skip recipes that shouldn't be narrowed.
      if (!Def || !isa<VPReplicateRecipe, VPWidenRecipe>(Def) ||
          Def->getNumUsers() == 0 || !Def->getUnderlyingValue() ||
          (RepR && (RepR->isSingleScalar() || RepR->isPredicated())))
        continue;
 
      // Skip recipes that may have other lanes than their first used.
      if (!vputils::isSingleScalar(Def) && !vputils::onlyFirstLaneUsed(Def))
        continue;
 
      auto *Clone = new VPReplicateRecipe(Def->getUnderlyingInstr(),
                                          Def->operands(), /*IsUniform*/ true,
                                          /*Mask*/ nullptr, /*Flags*/ *Def);
      Clone->insertAfter(Def);
      Def->replaceAllUsesWith(Clone);
    }
 
    // Replace wide pointer inductions which have only their scalars used by
    // PtrAdd(IndStart, ScalarIVSteps (0, Step)).
    if (auto *PtrIV = dyn_cast<VPWidenPointerInductionRecipe>(&Phi)) {
      if (!Plan.hasScalarVFOnly() &&
          !PtrIV->onlyScalarsGenerated(Plan.hasScalableVF()))
        continue;
 
      VPValue *PtrAdd = scalarizeVPWidenPointerInduction(PtrIV, Plan, Builder);
      PtrIV->replaceAllUsesWith(PtrAdd);
      continue;
    }
 
    // Replace widened induction with scalar steps for users that only use
    // scalars.
    auto *WideIV = cast<VPWidenIntOrFpInductionRecipe>(&Phi);
    if (HasOnlyVectorVFs && none_of(WideIV->users(), [WideIV](VPUser *U) {
          return U->usesScalars(WideIV);
        }))
      continue;
 
    const InductionDescriptor &ID = WideIV->getInductionDescriptor();
    VPScalarIVStepsRecipe *Steps = createScalarIVSteps(
        Plan, ID.getKind(), ID.getInductionOpcode(),
        dyn_cast_or_null<FPMathOperator>(ID.getInductionBinOp()),
        WideIV->getTruncInst(), WideIV->getStartValue(), WideIV->getStepValue(),
        WideIV->getDebugLoc(), Builder);
 
    // Update scalar users of IV to use Step instead.
    if (!HasOnlyVectorVFs) {
      assert(!Plan.hasScalableVF() &&
             "plans containing a scalar VF cannot also include scalable VFs");
      WideIV->replaceAllUsesWith(Steps);
    } else {
      bool HasScalableVF = Plan.hasScalableVF();
      WideIV->replaceUsesWithIf(Steps,
                                [WideIV, HasScalableVF](VPUser &U, unsigned) {
                                  if (HasScalableVF)
                                    return U.usesFirstLaneOnly(WideIV);
                                  return U.usesScalars(WideIV);
                                });
    }
  }
}
 
/// Check if \p VPV is an untruncated wide induction, either before or after the
/// increment. If so return the header IV (before the increment), otherwise
/// return null.
static VPWidenInductionRecipe *
getOptimizableIVOf(VPValue *VPV, PredicatedScalarEvolution &PSE) {
  auto *WideIV = dyn_cast<VPWidenInductionRecipe>(VPV);
  if (WideIV) {
    // VPV itself is a wide induction, separately compute the end value for exit
    // users if it is not a truncated IV.
    auto *IntOrFpIV = dyn_cast<VPWidenIntOrFpInductionRecipe>(WideIV);
    return (IntOrFpIV && IntOrFpIV->getTruncInst()) ? nullptr : WideIV;
  }
 
  // Check if VPV is an optimizable induction increment.
  VPRecipeBase *Def = VPV->getDefiningRecipe();
  if (!Def || Def->getNumOperands() != 2)
    return nullptr;
  WideIV = dyn_cast<VPWidenInductionRecipe>(Def->getOperand(0));
  if (!WideIV)
    WideIV = dyn_cast<VPWidenInductionRecipe>(Def->getOperand(1));
  if (!WideIV)
    return nullptr;
 
  auto IsWideIVInc = [&]() {
    auto &ID = WideIV->getInductionDescriptor();
 
    // Check if VPV increments the induction by the induction step.
    VPValue *IVStep = WideIV->getStepValue();
    switch (ID.getInductionOpcode()) {
    case Instruction::Add:
      return match(VPV, m_c_Add(m_Specific(WideIV), m_Specific(IVStep)));
    case Instruction::FAdd:
      return match(VPV, m_c_FAdd(m_Specific(WideIV), m_Specific(IVStep)));
    case Instruction::FSub:
      return match(VPV, m_Binary<Instruction::FSub>(m_Specific(WideIV),
                                                    m_Specific(IVStep)));
    case Instruction::Sub: {
      // IVStep will be the negated step of the subtraction. Check if Step == -1
      // * IVStep.
      VPValue *Step;
      if (!match(VPV, m_Sub(m_VPValue(), m_VPValue(Step))))
        return false;
      const SCEV *IVStepSCEV = vputils::getSCEVExprForVPValue(IVStep, PSE);
      const SCEV *StepSCEV = vputils::getSCEVExprForVPValue(Step, PSE);
      ScalarEvolution &SE = *PSE.getSE();
      return !isa<SCEVCouldNotCompute>(IVStepSCEV) &&
             !isa<SCEVCouldNotCompute>(StepSCEV) &&
             IVStepSCEV == SE.getNegativeSCEV(StepSCEV);
    }
    default:
      return ID.getKind() == InductionDescriptor::IK_PtrInduction &&
             match(VPV, m_GetElementPtr(m_Specific(WideIV),
                                        m_Specific(WideIV->getStepValue())));
    }
    llvm_unreachable("should have been covered by switch above");
  };
  return IsWideIVInc() ? WideIV : nullptr;
}
 
/// Attempts to optimize the induction variable exit values for users in the
/// early exit block.
static VPValue *optimizeEarlyExitInductionUser(VPlan &Plan,
                                               VPTypeAnalysis &TypeInfo,
                                               VPBlockBase *PredVPBB,
                                               VPValue *Op,
                                               PredicatedScalarEvolution &PSE) {
  VPValue *Incoming, *Mask;
  if (!match(Op, m_ExtractLane(m_FirstActiveLane(m_VPValue(Mask)),
                               m_VPValue(Incoming))))
    return nullptr;
 
  auto *WideIV = getOptimizableIVOf(Incoming, PSE);
  if (!WideIV)
    return nullptr;
 
  auto *WideIntOrFp = dyn_cast<VPWidenIntOrFpInductionRecipe>(WideIV);
  if (WideIntOrFp && WideIntOrFp->getTruncInst())
    return nullptr;
 
  // Calculate the final index.
  VPRegionBlock *LoopRegion = Plan.getVectorLoopRegion();
  auto *CanonicalIV = LoopRegion->getCanonicalIV();
  Type *CanonicalIVType = LoopRegion->getCanonicalIVType();
  VPBuilder B(cast<VPBasicBlock>(PredVPBB));
 
  DebugLoc DL = cast<VPInstruction>(Op)->getDebugLoc();
  VPValue *FirstActiveLane =
      B.createNaryOp(VPInstruction::FirstActiveLane, Mask, DL);
  Type *FirstActiveLaneType = TypeInfo.inferScalarType(FirstActiveLane);
  FirstActiveLane = B.createScalarZExtOrTrunc(FirstActiveLane, CanonicalIVType,
                                              FirstActiveLaneType, DL);
  VPValue *EndValue = B.createAdd(CanonicalIV, FirstActiveLane, DL);
 
  // `getOptimizableIVOf()` always returns the pre-incremented IV, so if it
  // changed it means the exit is using the incremented value, so we need to
  // add the step.
  if (Incoming != WideIV) {
    VPValue *One = Plan.getConstantInt(CanonicalIVType, 1);
    EndValue = B.createAdd(EndValue, One, DL);
  }
 
  if (!WideIntOrFp || !WideIntOrFp->isCanonical()) {
    const InductionDescriptor &ID = WideIV->getInductionDescriptor();
    VPIRValue *Start = WideIV->getStartValue();
    VPValue *Step = WideIV->getStepValue();
    EndValue = B.createDerivedIV(
        ID.getKind(), dyn_cast_or_null<FPMathOperator>(ID.getInductionBinOp()),
        Start, EndValue, Step);
  }
 
  return EndValue;
}
 
/// Compute the end value for \p WideIV, unless it is truncated. Creates a
/// VPDerivedIVRecipe for non-canonical inductions.
static VPValue *tryToComputeEndValueForInduction(VPWidenInductionRecipe *WideIV,
                                                 VPBuilder &VectorPHBuilder,
                                                 VPTypeAnalysis &TypeInfo,
                                                 VPValue *VectorTC) {
  auto *WideIntOrFp = dyn_cast<VPWidenIntOrFpInductionRecipe>(WideIV);
  // Truncated wide inductions resume from the last lane of their vector value
  // in the last vector iteration which is handled elsewhere.
  if (WideIntOrFp && WideIntOrFp->getTruncInst())
    return nullptr;
 
  VPIRValue *Start = WideIV->getStartValue();
  VPValue *Step = WideIV->getStepValue();
  const InductionDescriptor &ID = WideIV->getInductionDescriptor();
  VPValue *EndValue = VectorTC;
  if (!WideIntOrFp || !WideIntOrFp->isCanonical()) {
    EndValue = VectorPHBuilder.createDerivedIV(
        ID.getKind(), dyn_cast_or_null<FPMathOperator>(ID.getInductionBinOp()),
        Start, VectorTC, Step);
  }
 
  // EndValue is derived from the vector trip count (which has the same type as
  // the widest induction) and thus may be wider than the induction here.
  Type *ScalarTypeOfWideIV = TypeInfo.inferScalarType(WideIV);
  if (ScalarTypeOfWideIV != TypeInfo.inferScalarType(EndValue)) {
    EndValue = VectorPHBuilder.createScalarCast(Instruction::Trunc, EndValue,
                                                ScalarTypeOfWideIV,
                                                WideIV->getDebugLoc());
  }
 
  return EndValue;
}
 
/// Attempts to optimize the induction variable exit values for users in the
/// exit block coming from the latch in the original scalar loop.
static VPValue *optimizeLatchExitInductionUser(
    VPlan &Plan, VPTypeAnalysis &TypeInfo, VPBlockBase *PredVPBB, VPValue *Op,
    DenseMap<VPValue *, VPValue *> &EndValues, PredicatedScalarEvolution &PSE) {
  VPValue *Incoming;
  VPWidenInductionRecipe *WideIV = nullptr;
  if (match(Op, m_ExtractLastLaneOfLastPart(m_VPValue(Incoming))))
    WideIV = getOptimizableIVOf(Incoming, PSE);
 
  if (!WideIV)
    return nullptr;
 
  VPValue *EndValue = EndValues.lookup(WideIV);
  assert(EndValue && "Must have computed the end value up front");
 
  // `getOptimizableIVOf()` always returns the pre-incremented IV, so if it
  // changed it means the exit is using the incremented value, so we don't
  // need to subtract the step.
  if (Incoming != WideIV)
    return EndValue;
 
  // Otherwise, subtract the step from the EndValue.
  VPBuilder B(cast<VPBasicBlock>(PredVPBB)->getTerminator());
  VPValue *Step = WideIV->getStepValue();
  Type *ScalarTy = TypeInfo.inferScalarType(WideIV);
  if (ScalarTy->isIntegerTy())
    return B.createSub(EndValue, Step, DebugLoc::getUnknown(), "ind.escape");
  if (ScalarTy->isPointerTy()) {
    Type *StepTy = TypeInfo.inferScalarType(Step);
    auto *Zero = Plan.getZero(StepTy);
    return B.createPtrAdd(EndValue, B.createSub(Zero, Step),
                          DebugLoc::getUnknown(), "ind.escape");
  }
  if (ScalarTy->isFloatingPointTy()) {
    const auto &ID = WideIV->getInductionDescriptor();
    return B.createNaryOp(
        ID.getInductionBinOp()->getOpcode() == Instruction::FAdd
            ? Instruction::FSub
            : Instruction::FAdd,
        {EndValue, Step}, {ID.getInductionBinOp()->getFastMathFlags()});
  }
  llvm_unreachable("all possible induction types must be handled");
  return nullptr;
}
 
void VPlanTransforms::optimizeInductionLiveOutUsers(
    VPlan &Plan, PredicatedScalarEvolution &PSE, bool FoldTail) {
  // Compute end values for all inductions.
  VPTypeAnalysis TypeInfo(Plan);
  VPRegionBlock *VectorRegion = Plan.getVectorLoopRegion();
  auto *VectorPH = cast<VPBasicBlock>(VectorRegion->getSinglePredecessor());
  VPBuilder VectorPHBuilder(VectorPH, VectorPH->begin());
  DenseMap<VPValue *, VPValue *> EndValues;
  VPValue *ResumeTC =
      FoldTail ? Plan.getTripCount() : &Plan.getVectorTripCount();
  for (auto &Phi : VectorRegion->getEntryBasicBlock()->phis()) {
    auto *WideIV = dyn_cast<VPWidenInductionRecipe>(&Phi);
    if (!WideIV)
      continue;
    if (VPValue *EndValue = tryToComputeEndValueForInduction(
            WideIV, VectorPHBuilder, TypeInfo, ResumeTC))
      EndValues[WideIV] = EndValue;
  }
 
  VPBasicBlock *MiddleVPBB = Plan.getMiddleBlock();
  for (VPRecipeBase &R : make_early_inc_range(*MiddleVPBB)) {
    VPValue *Op;
    if (!match(&R, m_ExitingIVValue(m_VPValue(Op))))
      continue;
    auto *WideIV = cast<VPWidenInductionRecipe>(Op);
    if (VPValue *EndValue = EndValues.lookup(WideIV)) {
      R.getVPSingleValue()->replaceAllUsesWith(EndValue);
      R.eraseFromParent();
    }
  }
 
  // Then, optimize exit block users.
  for (VPIRBasicBlock *ExitVPBB : Plan.getExitBlocks()) {
    for (VPRecipeBase &R : ExitVPBB->phis()) {
      auto *ExitIRI = cast<VPIRPhi>(&R);
 
      for (auto [Idx, PredVPBB] : enumerate(ExitVPBB->getPredecessors())) {
        VPValue *Escape = nullptr;
        if (PredVPBB == MiddleVPBB)
          Escape = optimizeLatchExitInductionUser(Plan, TypeInfo, PredVPBB,
                                                  ExitIRI->getOperand(Idx),
                                                  EndValues, PSE);
        else
          Escape = optimizeEarlyExitInductionUser(
              Plan, TypeInfo, PredVPBB, ExitIRI->getOperand(Idx), PSE);
        if (Escape)
          ExitIRI->setOperand(Idx, Escape);
      }
    }
  }
}
 
/// Remove redundant EpxandSCEVRecipes in \p Plan's entry block by replacing
/// them with already existing recipes expanding the same SCEV expression.
static void removeRedundantExpandSCEVRecipes(VPlan &Plan) {
  DenseMap<const SCEV *, VPValue *> SCEV2VPV;
 
  for (VPRecipeBase &R :
       make_early_inc_range(*Plan.getEntry()->getEntryBasicBlock())) {
    auto *ExpR = dyn_cast<VPExpandSCEVRecipe>(&R);
    if (!ExpR)
      continue;
 
    const auto &[V, Inserted] = SCEV2VPV.try_emplace(ExpR->getSCEV(), ExpR);
    if (Inserted)
      continue;
    ExpR->replaceAllUsesWith(V->second);
    ExpR->eraseFromParent();
  }
}
 
static void recursivelyDeleteDeadRecipes(VPValue *V) {
  SmallVector<VPValue *> WorkList;
  SmallPtrSet<VPValue *, 8> Seen;
  WorkList.push_back(V);
 
  while (!WorkList.empty()) {
    VPValue *Cur = WorkList.pop_back_val();
    if (!Seen.insert(Cur).second)
      continue;
    VPRecipeBase *R = Cur->getDefiningRecipe();
    if (!R)
      continue;
    if (!isDeadRecipe(*R))
      continue;
    append_range(WorkList, R->operands());
    R->eraseFromParent();
  }
}
 
/// Get any instruction opcode or intrinsic ID data embedded in recipe \p R.
/// Returns an optional pair, where the first element indicates whether it is
/// an intrinsic ID.
static std::optional<std::pair<bool, unsigned>>
getOpcodeOrIntrinsicID(const VPSingleDefRecipe *R) {
  return TypeSwitch<const VPSingleDefRecipe *,
                    std::optional<std::pair<bool, unsigned>>>(R)
      .Case<VPInstruction, VPWidenRecipe, VPWidenCastRecipe, VPWidenGEPRecipe,
            VPReplicateRecipe>(
          [](auto *I) { return std::make_pair(false, I->getOpcode()); })
      .Case([](const VPWidenIntrinsicRecipe *I) {
        return std::make_pair(true, I->getVectorIntrinsicID());
      })
      .Case<VPVectorPointerRecipe, VPPredInstPHIRecipe>([](auto *I) {
        // For recipes that do not directly map to LLVM IR instructions,
        // assign opcodes after the last VPInstruction opcode (which is also
        // after the last IR Instruction opcode), based on the VPRecipeID.
        return std::make_pair(false,
                              VPInstruction::OpsEnd + 1 + I->getVPRecipeID());
      })
      .Default([](auto *) { return std::nullopt; });
}
 
/// Try to fold \p R using InstSimplifyFolder. Will succeed and return a
/// non-nullptr VPValue for a handled opcode or intrinsic ID if corresponding \p
/// Operands are foldable live-ins.
static VPIRValue *tryToFoldLiveIns(VPSingleDefRecipe &R,
                                   ArrayRef<VPValue *> Operands,
                                   const DataLayout &DL,
                                   VPTypeAnalysis &TypeInfo) {
  auto OpcodeOrIID = getOpcodeOrIntrinsicID(&R);
  if (!OpcodeOrIID)
    return nullptr;
 
  SmallVector<Value *, 4> Ops;
  for (VPValue *Op : Operands) {
    if (!match(Op, m_LiveIn()))
      return nullptr;
    Value *V = Op->getUnderlyingValue();
    if (!V)
      return nullptr;
    Ops.push_back(V);
  }
 
  auto FoldToIRValue = [&]() -> Value * {
    InstSimplifyFolder Folder(DL);
    if (OpcodeOrIID->first) {
      if (R.getNumOperands() != 2)
        return nullptr;
      unsigned ID = OpcodeOrIID->second;
      return Folder.FoldBinaryIntrinsic(ID, Ops[0], Ops[1],
                                        TypeInfo.inferScalarType(&R));
    }
    unsigned Opcode = OpcodeOrIID->second;
    if (Instruction::isBinaryOp(Opcode))
      return Folder.FoldBinOp(static_cast<Instruction::BinaryOps>(Opcode),
                              Ops[0], Ops[1]);
    if (Instruction::isCast(Opcode))
      return Folder.FoldCast(static_cast<Instruction::CastOps>(Opcode), Ops[0],
                             TypeInfo.inferScalarType(R.getVPSingleValue()));
    switch (Opcode) {
    case VPInstruction::LogicalAnd:
      return Folder.FoldSelect(Ops[0], Ops[1],
                               ConstantInt::getNullValue(Ops[1]->getType()));
    case VPInstruction::Not:
      return Folder.FoldBinOp(Instruction::BinaryOps::Xor, Ops[0],
                              Constant::getAllOnesValue(Ops[0]->getType()));
    case Instruction::Select:
      return Folder.FoldSelect(Ops[0], Ops[1], Ops[2]);
    case Instruction::ICmp:
    case Instruction::FCmp:
      return Folder.FoldCmp(cast<VPRecipeWithIRFlags>(R).getPredicate(), Ops[0],
                            Ops[1]);
    case Instruction::GetElementPtr: {
      auto &RFlags = cast<VPRecipeWithIRFlags>(R);
      auto *GEP = cast<GetElementPtrInst>(RFlags.getUnderlyingInstr());
      return Folder.FoldGEP(GEP->getSourceElementType(), Ops[0],
                            drop_begin(Ops), RFlags.getGEPNoWrapFlags());
    }
    case VPInstruction::PtrAdd:
    case VPInstruction::WidePtrAdd:
      return Folder.FoldGEP(IntegerType::getInt8Ty(TypeInfo.getContext()),
                            Ops[0], Ops[1],
                            cast<VPRecipeWithIRFlags>(R).getGEPNoWrapFlags());
    // An extract of a live-in is an extract of a broadcast, so return the
    // broadcasted element.
    case Instruction::ExtractElement:
      assert(!Ops[0]->getType()->isVectorTy() && "Live-ins should be scalar");
      return Ops[0];
    }
    return nullptr;
  };
 
  if (Value *V = FoldToIRValue())
    return R.getParent()->getPlan()->getOrAddLiveIn(V);
  return nullptr;
}
 
/// Try to simplify VPSingleDefRecipe \p Def.
static void simplifyRecipe(VPSingleDefRecipe *Def, VPTypeAnalysis &TypeInfo) {
  VPlan *Plan = Def->getParent()->getPlan();
 
  // Simplification of live-in IR values for SingleDef recipes using
  // InstSimplifyFolder.
  const DataLayout &DL = Plan->getDataLayout();
  if (VPValue *V = tryToFoldLiveIns(*Def, Def->operands(), DL, TypeInfo))
    return Def->replaceAllUsesWith(V);
 
  // Fold PredPHI LiveIn -> LiveIn.
  if (auto *PredPHI = dyn_cast<VPPredInstPHIRecipe>(Def)) {
    VPValue *Op = PredPHI->getOperand(0);
    if (isa<VPIRValue>(Op))
      PredPHI->replaceAllUsesWith(Op);
  }
 
  VPBuilder Builder(Def);
 
  // Avoid replacing VPInstructions with underlying values with new
  // VPInstructions, as we would fail to create widen/replicate recpes from the
  // new VPInstructions without an underlying value, and miss out on some
  // transformations that only apply to widened/replicated recipes later, by
  // doing so.
  // TODO: We should also not replace non-VPInstructions like VPWidenRecipe with
  // VPInstructions without underlying values, as those will get skipped during
  // cost computation.
  bool CanCreateNewRecipe =
      !isa<VPInstruction>(Def) || !Def->getUnderlyingValue();
 
  VPValue *A;
  if (match(Def, m_Trunc(m_ZExtOrSExt(m_VPValue(A))))) {
    Type *TruncTy = TypeInfo.inferScalarType(Def);
    Type *ATy = TypeInfo.inferScalarType(A);
    if (TruncTy == ATy) {
      Def->replaceAllUsesWith(A);
    } else {
      // Don't replace a non-widened cast recipe with a widened cast.
      if (!isa<VPWidenCastRecipe>(Def))
        return;
      if (ATy->getScalarSizeInBits() < TruncTy->getScalarSizeInBits()) {
 
        unsigned ExtOpcode = match(Def->getOperand(0), m_SExt(m_VPValue()))
                                 ? Instruction::SExt
                                 : Instruction::ZExt;
        auto *Ext = Builder.createWidenCast(Instruction::CastOps(ExtOpcode), A,
                                            TruncTy);
        if (auto *UnderlyingExt = Def->getOperand(0)->getUnderlyingValue()) {
          // UnderlyingExt has distinct return type, used to retain legacy cost.
          Ext->setUnderlyingValue(UnderlyingExt);
        }
        Def->replaceAllUsesWith(Ext);
      } else if (ATy->getScalarSizeInBits() > TruncTy->getScalarSizeInBits()) {
        auto *Trunc = Builder.createWidenCast(Instruction::Trunc, A, TruncTy);
        Def->replaceAllUsesWith(Trunc);
      }
    }
#ifndef NDEBUG
    // Verify that the cached type info is for both A and its users is still
    // accurate by comparing it to freshly computed types.
    VPTypeAnalysis TypeInfo2(*Plan);
    assert(TypeInfo.inferScalarType(A) == TypeInfo2.inferScalarType(A));
    for (VPUser *U : A->users()) {
      auto *R = cast<VPRecipeBase>(U);
      for (VPValue *VPV : R->definedValues())
        assert(TypeInfo.inferScalarType(VPV) == TypeInfo2.inferScalarType(VPV));
    }
#endif
  }
 
  // Simplify (X && Y) | (X && !Y) -> X.
  // TODO: Split up into simpler, modular combines: (X && Y) | (X && Z) into X
  // && (Y | Z) and (X | !X) into true. This requires queuing newly created
  // recipes to be visited during simplification.
  VPValue *X, *Y, *Z;
  if (match(Def,
            m_c_BinaryOr(m_LogicalAnd(m_VPValue(X), m_VPValue(Y)),
                         m_LogicalAnd(m_Deferred(X), m_Not(m_Deferred(Y)))))) {
    Def->replaceAllUsesWith(X);
    Def->eraseFromParent();
    return;
  }
 
  // x | AllOnes -> AllOnes
  if (match(Def, m_c_BinaryOr(m_VPValue(X), m_AllOnes())))
    return Def->replaceAllUsesWith(
        Plan->getAllOnesValue(TypeInfo.inferScalarType(Def)));
 
  // x | 0 -> x
  if (match(Def, m_c_BinaryOr(m_VPValue(X), m_ZeroInt())))
    return Def->replaceAllUsesWith(X);
 
  // x | !x -> AllOnes
  if (match(Def, m_c_BinaryOr(m_VPValue(X), m_Not(m_Deferred(X)))))
    return Def->replaceAllUsesWith(
        Plan->getAllOnesValue(TypeInfo.inferScalarType(Def)));
 
  // x & 0 -> 0
  if (match(Def, m_c_BinaryAnd(m_VPValue(X), m_ZeroInt())))
    return Def->replaceAllUsesWith(
        Plan->getZero(TypeInfo.inferScalarType(Def)));
 
  // x & AllOnes -> x
  if (match(Def, m_c_BinaryAnd(m_VPValue(X), m_AllOnes())))
    return Def->replaceAllUsesWith(X);
 
  // x && false -> false
  if (match(Def, m_c_LogicalAnd(m_VPValue(X), m_False())))
    return Def->replaceAllUsesWith(Plan->getFalse());
 
  // x && true -> x
  if (match(Def, m_c_LogicalAnd(m_VPValue(X), m_True())))
    return Def->replaceAllUsesWith(X);
 
  // (x && y) | (x && z) -> x && (y | z)
  if (CanCreateNewRecipe &&
      match(Def, m_c_BinaryOr(m_LogicalAnd(m_VPValue(X), m_VPValue(Y)),
                              m_LogicalAnd(m_Deferred(X), m_VPValue(Z)))) &&
      // Simplify only if one of the operands has one use to avoid creating an
      // extra recipe.
      (!Def->getOperand(0)->hasMoreThanOneUniqueUser() ||
       !Def->getOperand(1)->hasMoreThanOneUniqueUser()))
    return Def->replaceAllUsesWith(
        Builder.createLogicalAnd(X, Builder.createOr(Y, Z)));
 
  // x && (x && y) -> x && y
  if (match(Def, m_LogicalAnd(m_VPValue(X),
                              m_LogicalAnd(m_Deferred(X), m_VPValue()))))
    return Def->replaceAllUsesWith(Def->getOperand(1));
 
  // x && (y && x) -> x && y
  if (match(Def, m_LogicalAnd(m_VPValue(X),
                              m_LogicalAnd(m_VPValue(Y), m_Deferred(X)))))
    return Def->replaceAllUsesWith(Builder.createLogicalAnd(X, Y));
 
  // x && !x -> 0
  if (match(Def, m_LogicalAnd(m_VPValue(X), m_Not(m_Deferred(X)))))
    return Def->replaceAllUsesWith(Plan->getFalse());
 
  if (match(Def, m_Select(m_VPValue(), m_VPValue(X), m_Deferred(X))))
    return Def->replaceAllUsesWith(X);
 
  // select c, false, true -> not c
  VPValue *C;
  if (CanCreateNewRecipe &&
      match(Def, m_Select(m_VPValue(C), m_False(), m_True())))
    return Def->replaceAllUsesWith(Builder.createNot(C));
 
  // select !c, x, y -> select c, y, x
  if (match(Def, m_Select(m_Not(m_VPValue(C)), m_VPValue(X), m_VPValue(Y)))) {
    Def->setOperand(0, C);
    Def->setOperand(1, Y);
    Def->setOperand(2, X);
    return;
  }
 
  if (match(Def, m_c_Add(m_VPValue(A), m_ZeroInt())))
    return Def->replaceAllUsesWith(A);
 
  if (match(Def, m_c_Mul(m_VPValue(A), m_One())))
    return Def->replaceAllUsesWith(A);
 
  if (match(Def, m_c_Mul(m_VPValue(A), m_ZeroInt())))
    return Def->replaceAllUsesWith(
        Plan->getZero(TypeInfo.inferScalarType(Def)));
 
  if (CanCreateNewRecipe && match(Def, m_c_Mul(m_VPValue(A), m_AllOnes()))) {
    // Preserve nsw from the Mul on the new Sub.
    VPIRFlags::WrapFlagsTy NW = {
        false, cast<VPRecipeWithIRFlags>(Def)->hasNoSignedWrap()};
    return Def->replaceAllUsesWith(
        Builder.createSub(Plan->getZero(TypeInfo.inferScalarType(A)), A,
                          Def->getDebugLoc(), "", NW));
  }
 
  const APInt *APC;
  if (CanCreateNewRecipe && match(Def, m_c_Mul(m_VPValue(A), m_APInt(APC))) &&
      APC->isPowerOf2())
    return Def->replaceAllUsesWith(Builder.createNaryOp(
        Instruction::Shl,
        {A, Plan->getConstantInt(APC->getBitWidth(), APC->exactLogBase2())},
        *cast<VPRecipeWithIRFlags>(Def), Def->getDebugLoc()));
 
  if (CanCreateNewRecipe && match(Def, m_UDiv(m_VPValue(A), m_APInt(APC))) &&
      APC->isPowerOf2())
    return Def->replaceAllUsesWith(Builder.createNaryOp(
        Instruction::LShr,
        {A, Plan->getConstantInt(APC->getBitWidth(), APC->exactLogBase2())},
        *cast<VPRecipeWithIRFlags>(Def), Def->getDebugLoc()));
 
  if (match(Def, m_Not(m_VPValue(A)))) {
    if (match(A, m_Not(m_VPValue(A))))
      return Def->replaceAllUsesWith(A);
 
    // Try to fold Not into compares by adjusting the predicate in-place.
    CmpPredicate Pred;
    if (match(A, m_Cmp(Pred, m_VPValue(), m_VPValue()))) {
      auto *Cmp = cast<VPRecipeWithIRFlags>(A);
      if (all_of(Cmp->users(),
                 match_fn(m_CombineOr(
                     m_Not(m_Specific(Cmp)),
                     m_Select(m_Specific(Cmp), m_VPValue(), m_VPValue()))))) {
        Cmp->setPredicate(CmpInst::getInversePredicate(Pred));
        for (VPUser *U : to_vector(Cmp->users())) {
          auto *R = cast<VPSingleDefRecipe>(U);
          if (match(R, m_Select(m_Specific(Cmp), m_VPValue(X), m_VPValue(Y)))) {
            // select (cmp pred), x, y -> select (cmp inv_pred), y, x
            R->setOperand(1, Y);
            R->setOperand(2, X);
          } else {
            // not (cmp pred) -> cmp inv_pred
            assert(match(R, m_Not(m_Specific(Cmp))) && "Unexpected user");
            R->replaceAllUsesWith(Cmp);
          }
        }
        // If Cmp doesn't have a debug location, use the one from the negation,
        // to preserve the location.
        if (!Cmp->getDebugLoc() && Def->getDebugLoc())
          Cmp->setDebugLoc(Def->getDebugLoc());
      }
    }
  }
 
  // Fold any-of (fcmp uno %A, %A), (fcmp uno %B, %B), ... ->
  //      any-of (fcmp uno %A, %B), ...
  if (match(Def, m_AnyOf())) {
    SmallVector<VPValue *, 4> NewOps;
    VPRecipeBase *UnpairedCmp = nullptr;
    for (VPValue *Op : Def->operands()) {
      VPValue *X;
      if (Op->getNumUsers() > 1 ||
          !match(Op, m_SpecificCmp(CmpInst::FCMP_UNO, m_VPValue(X),
                                   m_Deferred(X)))) {
        NewOps.push_back(Op);
      } else if (!UnpairedCmp) {
        UnpairedCmp = Op->getDefiningRecipe();
      } else {
        NewOps.push_back(Builder.createFCmp(CmpInst::FCMP_UNO,
                                            UnpairedCmp->getOperand(0), X));
        UnpairedCmp = nullptr;
      }
    }
 
    if (UnpairedCmp)
      NewOps.push_back(UnpairedCmp->getVPSingleValue());
 
    if (NewOps.size() < Def->getNumOperands()) {
      VPValue *NewAnyOf = Builder.createNaryOp(VPInstruction::AnyOf, NewOps);
      return Def->replaceAllUsesWith(NewAnyOf);
    }
  }
 
  // Fold (fcmp uno %X, %X) or (fcmp uno %Y, %Y) -> fcmp uno %X, %Y
  // This is useful for fmax/fmin without fast-math flags, where we need to
  // check if any operand is NaN.
  if (CanCreateNewRecipe &&
      match(Def, m_BinaryOr(m_SpecificCmp(CmpInst::FCMP_UNO, m_VPValue(X),
                                          m_Deferred(X)),
                            m_SpecificCmp(CmpInst::FCMP_UNO, m_VPValue(Y),
                                          m_Deferred(Y))))) {
    VPValue *NewCmp = Builder.createFCmp(CmpInst::FCMP_UNO, X, Y);
    return Def->replaceAllUsesWith(NewCmp);
  }
 
  // Remove redundant DerviedIVs, that is 0 + A * 1 -> A and 0 + 0 * x -> 0.
  if ((match(Def, m_DerivedIV(m_ZeroInt(), m_VPValue(A), m_One())) ||
       match(Def, m_DerivedIV(m_ZeroInt(), m_ZeroInt(), m_VPValue()))) &&
      TypeInfo.inferScalarType(Def->getOperand(1)) ==
          TypeInfo.inferScalarType(Def))
    return Def->replaceAllUsesWith(Def->getOperand(1));
 
  if (match(Def, m_VPInstruction<VPInstruction::WideIVStep>(m_VPValue(X),
                                                            m_One()))) {
    Type *WideStepTy = TypeInfo.inferScalarType(Def);
    if (TypeInfo.inferScalarType(X) != WideStepTy)
      X = Builder.createWidenCast(Instruction::Trunc, X, WideStepTy);
    Def->replaceAllUsesWith(X);
    return;
  }
 
  // For i1 vp.merges produced by AnyOf reductions:
  // vp.merge true, (or x, y), x, evl -> vp.merge y, true, x, evl
  if (match(Def, m_Intrinsic<Intrinsic::vp_merge>(m_True(), m_VPValue(A),
                                                  m_VPValue(X), m_VPValue())) &&
      match(A, m_c_BinaryOr(m_Specific(X), m_VPValue(Y))) &&
      TypeInfo.inferScalarType(Def)->isIntegerTy(1)) {
    Def->setOperand(1, Def->getOperand(0));
    Def->setOperand(0, Y);
    return;
  }
 
  // Simplify MaskedCond with no block mask to its single operand.
  if (match(Def, m_VPInstruction<VPInstruction::MaskedCond>()) &&
      !cast<VPInstruction>(Def)->isMasked())
    return Def->replaceAllUsesWith(Def->getOperand(0));
 
  // Look through ExtractLastLane.
  if (match(Def, m_ExtractLastLane(m_VPValue(A)))) {
    if (match(A, m_BuildVector())) {
      auto *BuildVector = cast<VPInstruction>(A);
      Def->replaceAllUsesWith(
          BuildVector->getOperand(BuildVector->getNumOperands() - 1));
      return;
    }
    if (Plan->hasScalarVFOnly())
      return Def->replaceAllUsesWith(A);
  }
 
  // Look through ExtractPenultimateElement (BuildVector ....).
  if (match(Def, m_ExtractPenultimateElement(m_BuildVector()))) {
    auto *BuildVector = cast<VPInstruction>(Def->getOperand(0));
    Def->replaceAllUsesWith(
        BuildVector->getOperand(BuildVector->getNumOperands() - 2));
    return;
  }
 
  uint64_t Idx;
  if (match(Def, m_ExtractElement(m_BuildVector(), m_ConstantInt(Idx)))) {
    auto *BuildVector = cast<VPInstruction>(Def->getOperand(0));
    Def->replaceAllUsesWith(BuildVector->getOperand(Idx));
    return;
  }
 
  if (match(Def, m_BuildVector()) && all_equal(Def->operands())) {
    Def->replaceAllUsesWith(
        Builder.createNaryOp(VPInstruction::Broadcast, Def->getOperand(0)));
    return;
  }
 
  // Look through broadcast of single-scalar when used as select conditions; in
  // that case the scalar condition can be used directly.
  if (match(Def,
            m_Select(m_Broadcast(m_VPValue(C)), m_VPValue(), m_VPValue()))) {
    assert(vputils::isSingleScalar(C) &&
           "broadcast operand must be single-scalar");
    Def->setOperand(0, C);
    return;
  }
 
  if (isa<VPPhi, VPWidenPHIRecipe, VPHeaderPHIRecipe>(Def)) {
    if (Def->getNumOperands() == 1) {
      Def->replaceAllUsesWith(Def->getOperand(0));
      return;
    }
    if (auto *Phi = dyn_cast<VPFirstOrderRecurrencePHIRecipe>(Def)) {
      if (all_equal(Phi->incoming_values()))
        Phi->replaceAllUsesWith(Phi->getOperand(0));
    }
    return;
  }
 
  VPIRValue *IRV;
  if (Def->getNumOperands() == 1 &&
      match(Def, m_ComputeReductionResult(m_VPIRValue(IRV))))
    return Def->replaceAllUsesWith(IRV);
 
  // Some simplifications can only be applied after unrolling. Perform them
  // below.
  if (!Plan->isUnrolled())
    return;
 
  // After unrolling, extract-lane may be used to extract values from multiple
  // scalar sources. Only simplify when extracting from a single scalar source.
  VPValue *LaneToExtract;
  if (match(Def, m_ExtractLane(m_VPValue(LaneToExtract), m_VPValue(A)))) {
    // Simplify extract-lane(%lane_num, %scalar_val) -> %scalar_val.
    if (vputils::isSingleScalar(A))
      return Def->replaceAllUsesWith(A);
 
    // Simplify extract-lane with single source to extract-element.
    Def->replaceAllUsesWith(Builder.createNaryOp(
        Instruction::ExtractElement, {A, LaneToExtract}, Def->getDebugLoc()));
    return;
  }
 
  // Look for cycles where Def is of the form:
  //  X = phi(0, IVInc)  ; used only by IVInc, or by IVInc and Inc = X + Y
  //  IVInc = X + Step   ; used by X and Def
  //  Def = IVInc + Y
  // Fold the increment Y into the phi's start value, replace Def with IVInc,
  // and if Inc exists, replace it with X.
  if (match(Def, m_Add(m_Add(m_VPValue(X), m_VPValue()), m_VPValue(Y))) &&
      isa<VPIRValue>(Y) &&
      match(X, m_VPPhi(m_ZeroInt(), m_Specific(Def->getOperand(0))))) {
    auto *Phi = cast<VPPhi>(X);
    auto *IVInc = Def->getOperand(0);
    if (IVInc->getNumUsers() == 2) {
      // If Phi has a second user (besides IVInc's defining recipe), it must
      // be Inc = Phi + Y for the fold to apply.
      auto *Inc = dyn_cast_or_null<VPSingleDefRecipe>(
          vputils::findUserOf(Phi, m_Add(m_Specific(Phi), m_Specific(Y))));
      if (Phi->getNumUsers() == 1 || (Phi->getNumUsers() == 2 && Inc)) {
        Def->replaceAllUsesWith(IVInc);
        if (Inc)
          Inc->replaceAllUsesWith(Phi);
        Phi->setOperand(0, Y);
        return;
      }
    }
  }
 
  // Simplify unrolled VectorPointer without offset, or with zero offset, to
  // just the pointer operand.
  if (auto *VPR = dyn_cast<VPVectorPointerRecipe>(Def))
    if (!VPR->getOffset() || match(VPR->getOffset(), m_ZeroInt()))
      return VPR->replaceAllUsesWith(VPR->getOperand(0));
 
  // VPScalarIVSteps after unrolling can be replaced by their start value, if
  // the start index is zero and only the first lane 0 is demanded.
  if (auto *Steps = dyn_cast<VPScalarIVStepsRecipe>(Def)) {
    if (!Steps->getStartIndex() && vputils::onlyFirstLaneUsed(Steps)) {
      Steps->replaceAllUsesWith(Steps->getOperand(0));
      return;
    }
  }
  // Simplify redundant ReductionStartVector recipes after unrolling.
  VPValue *StartV;
  if (match(Def, m_VPInstruction<VPInstruction::ReductionStartVector>(
                     m_VPValue(StartV), m_VPValue(), m_VPValue()))) {
    Def->replaceUsesWithIf(StartV, [](const VPUser &U, unsigned Idx) {
      auto *PhiR = dyn_cast<VPReductionPHIRecipe>(&U);
      return PhiR && PhiR->isInLoop();
    });
    return;
  }
 
  if (match(Def, m_ExtractLastLane(m_Broadcast(m_VPValue(A))))) {
    Def->replaceAllUsesWith(A);
    return;
  }
 
  if (match(Def, m_ExtractLastLane(m_VPValue(A))) &&
      ((isa<VPInstruction>(A) && vputils::isSingleScalar(A)) ||
       (isa<VPReplicateRecipe>(A) &&
        cast<VPReplicateRecipe>(A)->isSingleScalar())) &&
      all_of(A->users(),
             [Def, A](VPUser *U) { return U->usesScalars(A) || Def == U; })) {
    return Def->replaceAllUsesWith(A);
  }
 
  if (Plan->getConcreteUF() == 1 && match(Def, m_ExtractLastPart(m_VPValue(A))))
    return Def->replaceAllUsesWith(A);
}
 
void VPlanTransforms::simplifyRecipes(VPlan &Plan) {
  ReversePostOrderTraversal<VPBlockDeepTraversalWrapper<VPBlockBase *>> RPOT(
      Plan.getEntry());
  VPTypeAnalysis TypeInfo(Plan);
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(RPOT)) {
    for (VPRecipeBase &R : make_early_inc_range(*VPBB))
      if (auto *Def = dyn_cast<VPSingleDefRecipe>(&R))
        simplifyRecipe(Def, TypeInfo);
  }
}
 
/// Reassociate (headermask && x) && y -> headermask && (x && y) to allow the
/// header mask to be simplified further when tail folding, e.g. in
/// optimizeEVLMasks.
static void reassociateHeaderMask(VPlan &Plan) {
  VPValue *HeaderMask = vputils::findHeaderMask(Plan);
  if (!HeaderMask)
    return;
 
  SmallVector<VPUser *> Worklist;
  for (VPUser *U : HeaderMask->users())
    if (match(U, m_LogicalAnd(m_Specific(HeaderMask), m_VPValue())))
      append_range(Worklist, cast<VPSingleDefRecipe>(U)->users());
 
  while (!Worklist.empty()) {
    auto *R = dyn_cast<VPSingleDefRecipe>(Worklist.pop_back_val());
    VPValue *X, *Y;
    if (!R || !match(R, m_LogicalAnd(
                            m_LogicalAnd(m_Specific(HeaderMask), m_VPValue(X)),
                            m_VPValue(Y))))
      continue;
    append_range(Worklist, R->users());
    VPBuilder Builder(R);
    R->replaceAllUsesWith(
        Builder.createLogicalAnd(HeaderMask, Builder.createLogicalAnd(X, Y)));
  }
}
 
static void narrowToSingleScalarRecipes(VPlan &Plan) {
  if (Plan.hasScalarVFOnly())
    return;
 
  // Try to narrow wide and replicating recipes to single scalar recipes,
  // based on VPlan analysis. Only process blocks in the loop region for now,
  // without traversing into nested regions, as recipes in replicate regions
  // cannot be converted yet.
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(
           vp_depth_first_shallow(Plan.getVectorLoopRegion()->getEntry()))) {
    for (VPRecipeBase &R : make_early_inc_range(reverse(*VPBB))) {
      if (!isa<VPWidenRecipe, VPWidenGEPRecipe, VPReplicateRecipe,
               VPWidenStoreRecipe>(&R))
        continue;
      auto *RepR = dyn_cast<VPReplicateRecipe>(&R);
      if (RepR && (RepR->isSingleScalar() || RepR->isPredicated()))
        continue;
 
      // Convert an unmasked scatter with an uniform address into
      // extract-last-lane + scalar store.
      // TODO: Add a profitability check comparing the cost of a scatter vs.
      // extract + scalar store.
      auto *WidenStoreR = dyn_cast<VPWidenStoreRecipe>(&R);
      if (WidenStoreR && vputils::isSingleScalar(WidenStoreR->getAddr()) &&
          !WidenStoreR->isConsecutive()) {
        VPValue *Mask = WidenStoreR->getMask();
 
        // Only convert the scatter to a scalar store if it is unmasked.
        // TODO: Support converting scatter masked by the header mask to scalar
        // store.
        if (Mask)
          continue;
 
        auto *Extract = new VPInstruction(VPInstruction::ExtractLastLane,
                                          {WidenStoreR->getOperand(1)});
        Extract->insertBefore(WidenStoreR);
 
        // TODO: Sink the scalar store recipe to middle block if possible.
        auto *ScalarStore = new VPReplicateRecipe(
            &WidenStoreR->getIngredient(), {Extract, WidenStoreR->getAddr()},
            true /*IsSingleScalar*/, nullptr /*Mask*/, {},
            *WidenStoreR /*Metadata*/);
        ScalarStore->insertBefore(WidenStoreR);
        WidenStoreR->eraseFromParent();
        continue;
      }
 
      auto *RepOrWidenR = dyn_cast<VPRecipeWithIRFlags>(&R);
      if (RepR && isa<StoreInst>(RepR->getUnderlyingInstr()) &&
          vputils::isSingleScalar(RepR->getOperand(1))) {
        auto *Clone = new VPReplicateRecipe(
            RepOrWidenR->getUnderlyingInstr(), RepOrWidenR->operands(),
            true /*IsSingleScalar*/, nullptr /*Mask*/, *RepR /*Flags*/,
            *RepR /*Metadata*/, RepR->getDebugLoc());
        Clone->insertBefore(RepOrWidenR);
        VPBuilder Builder(Clone);
        VPValue *ExtractOp = Clone->getOperand(0);
        if (vputils::isUniformAcrossVFsAndUFs(RepR->getOperand(1)))
          ExtractOp =
              Builder.createNaryOp(VPInstruction::ExtractLastPart, ExtractOp);
        ExtractOp =
            Builder.createNaryOp(VPInstruction::ExtractLastLane, ExtractOp);
        Clone->setOperand(0, ExtractOp);
        RepR->eraseFromParent();
        continue;
      }
 
      // Skip recipes that aren't single scalars.
      if (!RepOrWidenR || !vputils::isSingleScalar(RepOrWidenR))
        continue;
 
      // Predicate to check if a user of Op introduces extra broadcasts.
      auto IntroducesBCastOf = [](const VPValue *Op) {
        return [Op](const VPUser *U) {
          if (auto *VPI = dyn_cast<VPInstruction>(U)) {
            if (is_contained({VPInstruction::ExtractLastLane,
                              VPInstruction::ExtractLastPart,
                              VPInstruction::ExtractPenultimateElement},
                             VPI->getOpcode()))
              return false;
          }
          return !U->usesScalars(Op);
        };
      };
 
      if (any_of(RepOrWidenR->users(), IntroducesBCastOf(RepOrWidenR)) &&
          none_of(RepOrWidenR->operands(), [&](VPValue *Op) {
            if (any_of(
                    make_filter_range(Op->users(), not_equal_to(RepOrWidenR)),
                    IntroducesBCastOf(Op)))
              return false;
            // Non-constant live-ins require broadcasts, while constants do not
            // need explicit broadcasts.
            auto *IRV = dyn_cast<VPIRValue>(Op);
            bool LiveInNeedsBroadcast = IRV && !isa<Constant>(IRV->getValue());
            auto *OpR = dyn_cast<VPReplicateRecipe>(Op);
            return LiveInNeedsBroadcast || (OpR && OpR->isSingleScalar());
          }))
        continue;
 
      auto *Clone = new VPReplicateRecipe(
          RepOrWidenR->getUnderlyingInstr(), RepOrWidenR->operands(),
          true /*IsSingleScalar*/, nullptr, *RepOrWidenR);
      Clone->insertBefore(RepOrWidenR);
      RepOrWidenR->replaceAllUsesWith(Clone);
      if (isDeadRecipe(*RepOrWidenR))
        RepOrWidenR->eraseFromParent();
    }
  }
}
 
/// Try to see if all of \p Blend's masks share a common value logically and'ed
/// and remove it from the masks.
static void removeCommonBlendMask(VPBlendRecipe *Blend) {
  if (Blend->isNormalized())
    return;
  VPValue *CommonEdgeMask;
  if (!match(Blend->getMask(0),
             m_LogicalAnd(m_VPValue(CommonEdgeMask), m_VPValue())))
    return;
  for (unsigned I = 0; I < Blend->getNumIncomingValues(); I++)
    if (!match(Blend->getMask(I),
               m_LogicalAnd(m_Specific(CommonEdgeMask), m_VPValue())))
      return;
  for (unsigned I = 0; I < Blend->getNumIncomingValues(); I++)
    Blend->setMask(I, Blend->getMask(I)->getDefiningRecipe()->getOperand(1));
}
 
/// Normalize and simplify VPBlendRecipes. Should be run after simplifyRecipes
/// to make sure the masks are simplified.
static void simplifyBlends(VPlan &Plan) {
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(
           vp_depth_first_shallow(Plan.getVectorLoopRegion()->getEntry()))) {
    for (VPRecipeBase &R : make_early_inc_range(*VPBB)) {
      auto *Blend = dyn_cast<VPBlendRecipe>(&R);
      if (!Blend)
        continue;
 
      removeCommonBlendMask(Blend);
 
      // Try to remove redundant blend recipes.
      SmallPtrSet<VPValue *, 4> UniqueValues;
      if (Blend->isNormalized() || !match(Blend->getMask(0), m_False()))
        UniqueValues.insert(Blend->getIncomingValue(0));
      for (unsigned I = 1; I != Blend->getNumIncomingValues(); ++I)
        if (!match(Blend->getMask(I), m_False()))
          UniqueValues.insert(Blend->getIncomingValue(I));
 
      if (UniqueValues.size() == 1) {
        Blend->replaceAllUsesWith(*UniqueValues.begin());
        Blend->eraseFromParent();
        continue;
      }
 
      if (Blend->isNormalized())
        continue;
 
      // Normalize the blend so its first incoming value is used as the initial
      // value with the others blended into it.
 
      unsigned StartIndex = 0;
      for (unsigned I = 0; I != Blend->getNumIncomingValues(); ++I) {
        // If a value's mask is used only by the blend then is can be deadcoded.
        // TODO: Find the most expensive mask that can be deadcoded, or a mask
        // that's used by multiple blends where it can be removed from them all.
        VPValue *Mask = Blend->getMask(I);
        if (Mask->getNumUsers() == 1 && !match(Mask, m_False())) {
          StartIndex = I;
          break;
        }
      }
 
      SmallVector<VPValue *, 4> OperandsWithMask;
      OperandsWithMask.push_back(Blend->getIncomingValue(StartIndex));
 
      for (unsigned I = 0; I != Blend->getNumIncomingValues(); ++I) {
        if (I == StartIndex)
          continue;
        OperandsWithMask.push_back(Blend->getIncomingValue(I));
        OperandsWithMask.push_back(Blend->getMask(I));
      }
 
      auto *NewBlend =
          new VPBlendRecipe(cast_or_null<PHINode>(Blend->getUnderlyingValue()),
                            OperandsWithMask, *Blend, Blend->getDebugLoc());
      NewBlend->insertBefore(&R);
 
      VPValue *DeadMask = Blend->getMask(StartIndex);
      Blend->replaceAllUsesWith(NewBlend);
      Blend->eraseFromParent();
      recursivelyDeleteDeadRecipes(DeadMask);
 
      /// Simplify BLEND %a, %b, Not(%mask) -> BLEND %b, %a, %mask.
      VPValue *NewMask;
      if (NewBlend->getNumOperands() == 3 &&
          match(NewBlend->getMask(1), m_Not(m_VPValue(NewMask)))) {
        VPValue *Inc0 = NewBlend->getOperand(0);
        VPValue *Inc1 = NewBlend->getOperand(1);
        VPValue *OldMask = NewBlend->getOperand(2);
        NewBlend->setOperand(0, Inc1);
        NewBlend->setOperand(1, Inc0);
        NewBlend->setOperand(2, NewMask);
        if (OldMask->getNumUsers() == 0)
          cast<VPInstruction>(OldMask)->eraseFromParent();
      }
    }
  }
}
 
/// Optimize the width of vector induction variables in \p Plan based on a known
/// constant Trip Count, \p BestVF and \p BestUF.
static bool optimizeVectorInductionWidthForTCAndVFUF(VPlan &Plan,
                                                     ElementCount BestVF,
                                                     unsigned BestUF) {
  // Only proceed if we have not completely removed the vector region.
  if (!Plan.getVectorLoopRegion())
    return false;
 
  const APInt *TC;
  if (!BestVF.isFixed() || !match(Plan.getTripCount(), m_APInt(TC)))
    return false;
 
  // Calculate the minimum power-of-2 bit width that can fit the known TC, VF
  // and UF. Returns at least 8.
  auto ComputeBitWidth = [](APInt TC, uint64_t Align) {
    APInt AlignedTC =
        Align * APIntOps::RoundingUDiv(TC, APInt(TC.getBitWidth(), Align),
                                       APInt::Rounding::UP);
    APInt MaxVal = AlignedTC - 1;
    return std::max<unsigned>(PowerOf2Ceil(MaxVal.getActiveBits()), 8);
  };
  unsigned NewBitWidth =
      ComputeBitWidth(*TC, BestVF.getKnownMinValue() * BestUF);
 
  LLVMContext &Ctx = Plan.getContext();
  auto *NewIVTy = IntegerType::get(Ctx, NewBitWidth);
 
  bool MadeChange = false;
 
  VPBasicBlock *HeaderVPBB = Plan.getVectorLoopRegion()->getEntryBasicBlock();
  for (VPRecipeBase &Phi : HeaderVPBB->phis()) {
    auto *WideIV = dyn_cast<VPWidenIntOrFpInductionRecipe>(&Phi);
 
    // Currently only handle canonical IVs as it is trivial to replace the start
    // and stop values, and we currently only perform the optimization when the
    // IV has a single use.
    if (!WideIV || !WideIV->isCanonical() ||
        WideIV->hasMoreThanOneUniqueUser() ||
        NewIVTy == WideIV->getScalarType())
      continue;
 
    // Currently only handle cases where the single user is a header-mask
    // comparison with the backedge-taken-count.
    VPUser *SingleUser = WideIV->getSingleUser();
    if (!SingleUser ||
        !match(SingleUser,
               m_ICmp(m_Specific(WideIV),
                      m_Broadcast(m_Specific(Plan.getBackedgeTakenCount())))))
      continue;
 
    // Update IV operands and comparison bound to use new narrower type.
    auto *NewStart = Plan.getZero(NewIVTy);
    WideIV->setStartValue(NewStart);
    auto *NewStep = Plan.getConstantInt(NewIVTy, 1);
    WideIV->setStepValue(NewStep);
 
    auto *NewBTC = new VPWidenCastRecipe(
        Instruction::Trunc, Plan.getOrCreateBackedgeTakenCount(), NewIVTy,
        nullptr, VPIRFlags::getDefaultFlags(Instruction::Trunc));
    Plan.getVectorPreheader()->appendRecipe(NewBTC);
    auto *Cmp = cast<VPInstruction>(WideIV->getSingleUser());
    Cmp->setOperand(1, NewBTC);
 
    MadeChange = true;
  }
 
  return MadeChange;
}
 
/// Return true if \p Cond is known to be true for given \p BestVF and \p
/// BestUF.
static bool isConditionTrueViaVFAndUF(VPValue *Cond, VPlan &Plan,
                                      ElementCount BestVF, unsigned BestUF,
                                      PredicatedScalarEvolution &PSE) {
  if (match(Cond, m_BinaryOr(m_VPValue(), m_VPValue())))
    return any_of(Cond->getDefiningRecipe()->operands(), [&Plan, BestVF, BestUF,
                                                          &PSE](VPValue *C) {
      return isConditionTrueViaVFAndUF(C, Plan, BestVF, BestUF, PSE);
    });
 
  auto *CanIV = Plan.getVectorLoopRegion()->getCanonicalIV();
  if (!match(Cond, m_SpecificICmp(CmpInst::ICMP_EQ,
                                  m_Specific(CanIV->getBackedgeValue()),
                                  m_Specific(&Plan.getVectorTripCount()))))
    return false;
 
  // The compare checks CanIV + VFxUF == vector trip count. The vector trip
  // count is not conveniently available as SCEV so far, so we compare directly
  // against the original trip count. This is stricter than necessary, as we
  // will only return true if the trip count == vector trip count.
  const SCEV *VectorTripCount =
      vputils::getSCEVExprForVPValue(&Plan.getVectorTripCount(), PSE);
  if (isa<SCEVCouldNotCompute>(VectorTripCount))
    VectorTripCount = vputils::getSCEVExprForVPValue(Plan.getTripCount(), PSE);
  assert(!isa<SCEVCouldNotCompute>(VectorTripCount) &&
         "Trip count SCEV must be computable");
  ScalarEvolution &SE = *PSE.getSE();
  ElementCount NumElements = BestVF.multiplyCoefficientBy(BestUF);
  const SCEV *C = SE.getElementCount(VectorTripCount->getType(), NumElements);
  return SE.isKnownPredicate(CmpInst::ICMP_EQ, VectorTripCount, C);
}
 
/// Try to replace multiple active lane masks used for control flow with
/// a single, wide active lane mask instruction followed by multiple
/// extract subvector intrinsics. This applies to the active lane mask
/// instructions both in the loop and in the preheader.
/// Incoming values of all ActiveLaneMaskPHIs are updated to use the
/// new extracts from the first active lane mask, which has it's last
/// operand (multiplier) set to UF.
static bool tryToReplaceALMWithWideALM(VPlan &Plan, ElementCount VF,
                                       unsigned UF) {
  if (!EnableWideActiveLaneMask || !VF.isVector() || UF == 1)
    return false;
 
  VPRegionBlock *VectorRegion = Plan.getVectorLoopRegion();
  VPBasicBlock *ExitingVPBB = VectorRegion->getExitingBasicBlock();
  auto *Term = &ExitingVPBB->back();
 
  using namespace llvm::VPlanPatternMatch;
  if (!match(Term, m_BranchOnCond(m_Not(m_ActiveLaneMask(
                       m_VPValue(), m_VPValue(), m_VPValue())))))
    return false;
 
  auto *Header = cast<VPBasicBlock>(VectorRegion->getEntry());
  LLVMContext &Ctx = Plan.getContext();
 
  auto ExtractFromALM = [&](VPInstruction *ALM,
                            SmallVectorImpl<VPValue *> &Extracts) {
    DebugLoc DL = ALM->getDebugLoc();
    for (unsigned Part = 0; Part < UF; ++Part) {
      SmallVector<VPValue *> Ops;
      Ops.append({ALM, Plan.getConstantInt(64, VF.getKnownMinValue() * Part)});
      auto *Ext =
          new VPWidenIntrinsicRecipe(Intrinsic::vector_extract, Ops,
                                     IntegerType::getInt1Ty(Ctx), {}, {}, DL);
      Extracts[Part] = Ext;
      Ext->insertAfter(ALM);
    }
  };
 
  // Create a list of each active lane mask phi, ordered by unroll part.
  SmallVector<VPActiveLaneMaskPHIRecipe *> Phis(UF, nullptr);
  for (VPRecipeBase &R : Header->phis()) {
    auto *Phi = dyn_cast<VPActiveLaneMaskPHIRecipe>(&R);
    if (!Phi)
      continue;
    VPValue *Index = nullptr;
    match(Phi->getBackedgeValue(),
          m_ActiveLaneMask(m_VPValue(Index), m_VPValue(), m_VPValue()));
    assert(Index && "Expected index from ActiveLaneMask instruction");
 
    uint64_t Part;
    if (match(Index,
              m_VPInstruction<VPInstruction::CanonicalIVIncrementForPart>(
                  m_VPValue(), m_Mul(m_VPValue(), m_ConstantInt(Part)))))
      Phis[Part] = Phi;
    else {
      // Anything other than a CanonicalIVIncrementForPart is part 0
      assert(!match(
          Index,
          m_VPInstruction<VPInstruction::CanonicalIVIncrementForPart>()));
      Phis[0] = Phi;
    }
  }
 
  assert(all_of(Phis, not_equal_to(nullptr)) &&
         "Expected one VPActiveLaneMaskPHIRecipe for each unroll part");
 
  auto *EntryALM = cast<VPInstruction>(Phis[0]->getStartValue());
  auto *LoopALM = cast<VPInstruction>(Phis[0]->getBackedgeValue());
 
  assert((EntryALM->getOpcode() == VPInstruction::ActiveLaneMask &&
          LoopALM->getOpcode() == VPInstruction::ActiveLaneMask) &&
         "Expected incoming values of Phi to be ActiveLaneMasks");
 
  // When using wide lane masks, the return type of the get.active.lane.mask
  // intrinsic is VF x UF (last operand).
  VPValue *ALMMultiplier = Plan.getConstantInt(64, UF);
  EntryALM->setOperand(2, ALMMultiplier);
  LoopALM->setOperand(2, ALMMultiplier);
 
  // Create UF x extract vectors and insert into preheader.
  SmallVector<VPValue *> EntryExtracts(UF);
  ExtractFromALM(EntryALM, EntryExtracts);
 
  // Create UF x extract vectors and insert before the loop compare & branch,
  // updating the compare to use the first extract.
  SmallVector<VPValue *> LoopExtracts(UF);
  ExtractFromALM(LoopALM, LoopExtracts);
  VPInstruction *Not = cast<VPInstruction>(Term->getOperand(0));
  Not->setOperand(0, LoopExtracts[0]);
 
  // Update the incoming values of active lane mask phis.
  for (unsigned Part = 0; Part < UF; ++Part) {
    Phis[Part]->setStartValue(EntryExtracts[Part]);
    Phis[Part]->setBackedgeValue(LoopExtracts[Part]);
  }
 
  return true;
}
 
/// Try to simplify the branch condition of \p Plan. This may restrict the
/// resulting plan to \p BestVF and \p BestUF.
static bool simplifyBranchConditionForVFAndUF(VPlan &Plan, ElementCount BestVF,
                                              unsigned BestUF,
                                              PredicatedScalarEvolution &PSE) {
  VPRegionBlock *VectorRegion = Plan.getVectorLoopRegion();
  VPBasicBlock *ExitingVPBB = VectorRegion->getExitingBasicBlock();
  auto *Term = &ExitingVPBB->back();
  VPValue *Cond;
  auto m_CanIVInc = m_Add(m_VPValue(), m_Specific(&Plan.getVFxUF()));
  // Check if the branch condition compares the canonical IV increment (for main
  // loop), or the canonical IV increment plus an offset (for epilog loop).
  if (match(Term, m_BranchOnCount(
                      m_CombineOr(m_CanIVInc, m_c_Add(m_CanIVInc, m_LiveIn())),
                      m_VPValue())) ||
      match(Term, m_BranchOnCond(m_Not(m_ActiveLaneMask(
                      m_VPValue(), m_VPValue(), m_VPValue()))))) {
    // Try to simplify the branch condition if VectorTC <= VF * UF when the
    // latch terminator is BranchOnCount or BranchOnCond(Not(ActiveLaneMask)).
    const SCEV *VectorTripCount =
        vputils::getSCEVExprForVPValue(&Plan.getVectorTripCount(), PSE);
    if (isa<SCEVCouldNotCompute>(VectorTripCount))
      VectorTripCount =
          vputils::getSCEVExprForVPValue(Plan.getTripCount(), PSE);
    assert(!isa<SCEVCouldNotCompute>(VectorTripCount) &&
           "Trip count SCEV must be computable");
    ScalarEvolution &SE = *PSE.getSE();
    ElementCount NumElements = BestVF.multiplyCoefficientBy(BestUF);
    const SCEV *C = SE.getElementCount(VectorTripCount->getType(), NumElements);
    if (!SE.isKnownPredicate(CmpInst::ICMP_ULE, VectorTripCount, C))
      return false;
  } else if (match(Term, m_BranchOnCond(m_VPValue(Cond))) ||
             match(Term, m_BranchOnTwoConds(m_VPValue(), m_VPValue(Cond)))) {
    // For BranchOnCond, check if we can prove the condition to be true using VF
    // and UF.
    if (!isConditionTrueViaVFAndUF(Cond, Plan, BestVF, BestUF, PSE))
      return false;
  } else {
    return false;
  }
 
  // The vector loop region only executes once. Convert terminator of the
  // exiting block to exit in the first iteration.
  if (match(Term, m_BranchOnTwoConds())) {
    Term->setOperand(1, Plan.getTrue());
    return true;
  }
 
  auto *BOC = new VPInstruction(VPInstruction::BranchOnCond, Plan.getTrue(), {},
                                {}, Term->getDebugLoc());
  ExitingVPBB->appendRecipe(BOC);
  Term->eraseFromParent();
 
  return true;
}
 
/// From the definition of llvm.experimental.get.vector.length,
/// VPInstruction::ExplicitVectorLength(%AVL) = %AVL when %AVL <= VF.
bool VPlanTransforms::simplifyKnownEVL(VPlan &Plan, ElementCount VF,
                                       PredicatedScalarEvolution &PSE) {
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(
           vp_depth_first_deep(Plan.getEntry()))) {
    for (VPRecipeBase &R : *VPBB) {
      VPValue *AVL;
      if (!match(&R, m_EVL(m_VPValue(AVL))))
        continue;
 
      const SCEV *AVLSCEV = vputils::getSCEVExprForVPValue(AVL, PSE);
      if (isa<SCEVCouldNotCompute>(AVLSCEV))
        continue;
      ScalarEvolution &SE = *PSE.getSE();
      const SCEV *VFSCEV = SE.getElementCount(AVLSCEV->getType(), VF);
      if (!SE.isKnownPredicate(CmpInst::ICMP_ULE, AVLSCEV, VFSCEV))
        continue;
 
      VPValue *Trunc = VPBuilder(&R).createScalarZExtOrTrunc(
          AVL, Type::getInt32Ty(Plan.getContext()), AVLSCEV->getType(),
          R.getDebugLoc());
      if (Trunc != AVL) {
        auto *TruncR = cast<VPSingleDefRecipe>(Trunc);
        const DataLayout &DL = Plan.getDataLayout();
        VPTypeAnalysis TypeInfo(Plan);
        if (VPValue *Folded =
                tryToFoldLiveIns(*TruncR, TruncR->operands(), DL, TypeInfo))
          Trunc = Folded;
      }
      R.getVPSingleValue()->replaceAllUsesWith(Trunc);
      return true;
    }
  }
  return false;
}
 
void VPlanTransforms::optimizeForVFAndUF(VPlan &Plan, ElementCount BestVF,
                                         unsigned BestUF,
                                         PredicatedScalarEvolution &PSE) {
  assert(Plan.hasVF(BestVF) && "BestVF is not available in Plan");
  assert(Plan.hasUF(BestUF) && "BestUF is not available in Plan");
 
  bool MadeChange = tryToReplaceALMWithWideALM(Plan, BestVF, BestUF);
  MadeChange |= simplifyBranchConditionForVFAndUF(Plan, BestVF, BestUF, PSE);
  MadeChange |= optimizeVectorInductionWidthForTCAndVFUF(Plan, BestVF, BestUF);
 
  if (MadeChange) {
    Plan.setVF(BestVF);
    assert(Plan.getConcreteUF() == BestUF && "BestUF must match the Plan's UF");
  }
}
 
/// Sink users of \p FOR after the recipe defining the previous value \p
/// Previous of the recurrence. \returns true if all users of \p FOR could be
/// re-arranged as needed or false if it is not possible.
static bool
sinkRecurrenceUsersAfterPrevious(VPFirstOrderRecurrencePHIRecipe *FOR,
                                 VPRecipeBase *Previous,
                                 VPDominatorTree &VPDT) {
  // If Previous is a live-in (no defining recipe), it naturally dominates all
  // recipes in the loop, so no sinking is needed.
  if (!Previous)
    return true;
 
  // Collect recipes that need sinking.
  SmallVector<VPRecipeBase *> WorkList;
  SmallPtrSet<VPRecipeBase *, 8> Seen;
  Seen.insert(Previous);
  auto TryToPushSinkCandidate = [&](VPRecipeBase *SinkCandidate) {
    // The previous value must not depend on the users of the recurrence phi. In
    // that case, FOR is not a fixed order recurrence.
    if (SinkCandidate == Previous)
      return false;
 
    if (isa<VPHeaderPHIRecipe>(SinkCandidate) ||
        !Seen.insert(SinkCandidate).second ||
        VPDT.properlyDominates(Previous, SinkCandidate))
      return true;
 
    if (cannotHoistOrSinkRecipe(*SinkCandidate))
      return false;
 
    WorkList.push_back(SinkCandidate);
    return true;
  };
 
  // Recursively sink users of FOR after Previous.
  WorkList.push_back(FOR);
  for (unsigned I = 0; I != WorkList.size(); ++I) {
    VPRecipeBase *Current = WorkList[I];
    assert(Current->getNumDefinedValues() == 1 &&
           "only recipes with a single defined value expected");
 
    for (VPUser *User : Current->getVPSingleValue()->users()) {
      if (!TryToPushSinkCandidate(cast<VPRecipeBase>(User)))
        return false;
    }
  }
 
  // Keep recipes to sink ordered by dominance so earlier instructions are
  // processed first.
  sort(WorkList, [&VPDT](const VPRecipeBase *A, const VPRecipeBase *B) {
    return VPDT.properlyDominates(A, B);
  });
 
  for (VPRecipeBase *SinkCandidate : WorkList) {
    if (SinkCandidate == FOR)
      continue;
 
    SinkCandidate->moveAfter(Previous);
    Previous = SinkCandidate;
  }
  return true;
}
 
/// Try to hoist \p Previous and its operands before all users of \p FOR.
static bool hoistPreviousBeforeFORUsers(VPFirstOrderRecurrencePHIRecipe *FOR,
                                        VPRecipeBase *Previous,
                                        VPDominatorTree &VPDT) {
  if (cannotHoistOrSinkRecipe(*Previous))
    return false;
 
  // Collect recipes that need hoisting.
  SmallVector<VPRecipeBase *> HoistCandidates;
  SmallPtrSet<VPRecipeBase *, 8> Visited;
  VPRecipeBase *HoistPoint = nullptr;
  // Find the closest hoist point by looking at all users of FOR and selecting
  // the recipe dominating all other users.
  for (VPUser *U : FOR->users()) {
    auto *R = cast<VPRecipeBase>(U);
    if (!HoistPoint || VPDT.properlyDominates(R, HoistPoint))
      HoistPoint = R;
  }
  assert(all_of(FOR->users(),
                [&VPDT, HoistPoint](VPUser *U) {
                  auto *R = cast<VPRecipeBase>(U);
                  return HoistPoint == R ||
                         VPDT.properlyDominates(HoistPoint, R);
                }) &&
         "HoistPoint must dominate all users of FOR");
 
  auto NeedsHoisting = [HoistPoint, &VPDT,
                        &Visited](VPValue *HoistCandidateV) -> VPRecipeBase * {
    VPRecipeBase *HoistCandidate = HoistCandidateV->getDefiningRecipe();
    if (!HoistCandidate)
      return nullptr;
    VPRegionBlock *EnclosingLoopRegion =
        HoistCandidate->getParent()->getEnclosingLoopRegion();
    assert((!HoistCandidate->getRegion() ||
            HoistCandidate->getRegion() == EnclosingLoopRegion) &&
           "CFG in VPlan should still be flat, without replicate regions");
    // Hoist candidate was already visited, no need to hoist.
    if (!Visited.insert(HoistCandidate).second)
      return nullptr;
 
    // Candidate is outside loop region or a header phi, dominates FOR users w/o
    // hoisting.
    if (!EnclosingLoopRegion || isa<VPHeaderPHIRecipe>(HoistCandidate))
      return nullptr;
 
    // If we reached a recipe that dominates HoistPoint, we don't need to
    // hoist the recipe.
    if (VPDT.properlyDominates(HoistCandidate, HoistPoint))
      return nullptr;
    return HoistCandidate;
  };
 
  if (!NeedsHoisting(Previous->getVPSingleValue()))
    return true;
 
  // Recursively try to hoist Previous and its operands before all users of FOR.
  HoistCandidates.push_back(Previous);
 
  for (unsigned I = 0; I != HoistCandidates.size(); ++I) {
    VPRecipeBase *Current = HoistCandidates[I];
    assert(Current->getNumDefinedValues() == 1 &&
           "only recipes with a single defined value expected");
    if (cannotHoistOrSinkRecipe(*Current))
      return false;
 
    for (VPValue *Op : Current->operands()) {
      // If we reach FOR, it means the original Previous depends on some other
      // recurrence that in turn depends on FOR. If that is the case, we would
      // also need to hoist recipes involving the other FOR, which may break
      // dependencies.
      if (Op == FOR)
        return false;
 
      if (auto *R = NeedsHoisting(Op)) {
        // Bail out if the recipe defines multiple values.
        // TODO: Hoisting such recipes requires additional handling.
        if (R->getNumDefinedValues() != 1)
          return false;
        HoistCandidates.push_back(R);
      }
    }
  }
 
  // Order recipes to hoist by dominance so earlier instructions are processed
  // first.
  sort(HoistCandidates, [&VPDT](const VPRecipeBase *A, const VPRecipeBase *B) {
    return VPDT.properlyDominates(A, B);
  });
 
  for (VPRecipeBase *HoistCandidate : HoistCandidates) {
    HoistCandidate->moveBefore(*HoistPoint->getParent(),
                               HoistPoint->getIterator());
  }
 
  return true;
}
 
bool VPlanTransforms::adjustFixedOrderRecurrences(VPlan &Plan,
                                                  VPBuilder &LoopBuilder) {
  VPDominatorTree VPDT(Plan);
  VPTypeAnalysis TypeInfo(Plan);
 
  SmallVector<VPFirstOrderRecurrencePHIRecipe *> RecurrencePhis;
  for (VPRecipeBase &R :
       Plan.getVectorLoopRegion()->getEntry()->getEntryBasicBlock()->phis())
    if (auto *FOR = dyn_cast<VPFirstOrderRecurrencePHIRecipe>(&R))
      RecurrencePhis.push_back(FOR);
 
  for (VPFirstOrderRecurrencePHIRecipe *FOR : RecurrencePhis) {
    SmallPtrSet<VPFirstOrderRecurrencePHIRecipe *, 4> SeenPhis;
    VPRecipeBase *Previous = FOR->getBackedgeValue()->getDefiningRecipe();
    // Fixed-order recurrences do not contain cycles, so this loop is guaranteed
    // to terminate.
    while (auto *PrevPhi =
               dyn_cast_or_null<VPFirstOrderRecurrencePHIRecipe>(Previous)) {
      assert(PrevPhi->getParent() == FOR->getParent());
      assert(SeenPhis.insert(PrevPhi).second);
      Previous = PrevPhi->getBackedgeValue()->getDefiningRecipe();
    }
 
    if (!sinkRecurrenceUsersAfterPrevious(FOR, Previous, VPDT) &&
        !hoistPreviousBeforeFORUsers(FOR, Previous, VPDT))
      return false;
 
    // Introduce a recipe to combine the incoming and previous values of a
    // fixed-order recurrence.
    VPBasicBlock *InsertBlock =
        Previous ? Previous->getParent() : FOR->getParent();
    if (!Previous || isa<VPHeaderPHIRecipe>(Previous))
      LoopBuilder.setInsertPoint(InsertBlock, InsertBlock->getFirstNonPhi());
    else
      LoopBuilder.setInsertPoint(InsertBlock,
                                 std::next(Previous->getIterator()));
 
    auto *RecurSplice =
        LoopBuilder.createNaryOp(VPInstruction::FirstOrderRecurrenceSplice,
                                 {FOR, FOR->getBackedgeValue()});
 
    FOR->replaceAllUsesWith(RecurSplice);
    // Set the first operand of RecurSplice to FOR again, after replacing
    // all users.
    RecurSplice->setOperand(0, FOR);
 
    // Check for users extracting at the penultimate active lane of the FOR.
    // If only a single lane is active in the current iteration, we need to
    // select the last element from the previous iteration (from the FOR phi
    // directly).
    for (VPUser *U : RecurSplice->users()) {
      if (!match(U, m_ExtractLane(m_LastActiveLane(m_VPValue()),
                                  m_Specific(RecurSplice))))
        continue;
 
      VPBuilder B(cast<VPInstruction>(U));
      VPValue *LastActiveLane = cast<VPInstruction>(U)->getOperand(0);
      Type *Ty = TypeInfo.inferScalarType(LastActiveLane);
      VPValue *Zero = Plan.getConstantInt(Ty, 0);
      VPValue *One = Plan.getConstantInt(Ty, 1);
      VPValue *PenultimateIndex = B.createSub(LastActiveLane, One);
      VPValue *PenultimateLastIter =
          B.createNaryOp(VPInstruction::ExtractLane,
                         {PenultimateIndex, FOR->getBackedgeValue()});
      VPValue *LastPrevIter =
          B.createNaryOp(VPInstruction::ExtractLastLane, FOR);
 
      VPValue *Cmp = B.createICmp(CmpInst::ICMP_EQ, LastActiveLane, Zero);
      VPValue *Sel = B.createSelect(Cmp, LastPrevIter, PenultimateLastIter);
      cast<VPInstruction>(U)->replaceAllUsesWith(Sel);
    }
  }
  return true;
}
 
void VPlanTransforms::clearReductionWrapFlags(VPlan &Plan) {
  for (VPRecipeBase &R :
       Plan.getVectorLoopRegion()->getEntryBasicBlock()->phis()) {
    auto *PhiR = dyn_cast<VPReductionPHIRecipe>(&R);
    if (!PhiR)
      continue;
    RecurKind RK = PhiR->getRecurrenceKind();
    if (RK != RecurKind::Add && RK != RecurKind::Mul && RK != RecurKind::Sub &&
        RK != RecurKind::AddChainWithSubs)
      continue;
 
    for (VPUser *U : collectUsersRecursively(PhiR))
      if (auto *RecWithFlags = dyn_cast<VPRecipeWithIRFlags>(U)) {
        RecWithFlags->dropPoisonGeneratingFlags();
      }
  }
}
 
namespace {
struct VPCSEDenseMapInfo : public DenseMapInfo<VPSingleDefRecipe *> {
  static bool isSentinel(const VPSingleDefRecipe *Def) {
    return Def == getEmptyKey() || Def == getTombstoneKey();
  }
 
  /// If recipe \p R will lower to a GEP with a non-i8 source element type,
  /// return that source element type.
  static Type *getGEPSourceElementType(const VPSingleDefRecipe *R) {
    // All VPInstructions that lower to GEPs must have the i8 source element
    // type (as they are PtrAdds), so we omit it.
    return TypeSwitch<const VPSingleDefRecipe *, Type *>(R)
        .Case([](const VPReplicateRecipe *I) -> Type * {
          if (auto *GEP = dyn_cast<GetElementPtrInst>(I->getUnderlyingValue()))
            return GEP->getSourceElementType();
          return nullptr;
        })
        .Case<VPVectorPointerRecipe, VPWidenGEPRecipe>(
            [](auto *I) { return I->getSourceElementType(); })
        .Default([](auto *) { return nullptr; });
  }
 
  /// Returns true if recipe \p Def can be safely handed for CSE.
  static bool canHandle(const VPSingleDefRecipe *Def) {
    // We can extend the list of handled recipes in the future,
    // provided we account for the data embedded in them while checking for
    // equality or hashing.
    auto C = getOpcodeOrIntrinsicID(Def);
 
    // The issue with (Insert|Extract)Value is that the index of the
    // insert/extract is not a proper operand in LLVM IR, and hence also not in
    // VPlan.
    if (!C || (!C->first && (C->second == Instruction::InsertValue ||
                             C->second == Instruction::ExtractValue)))
      return false;
 
    // During CSE, we can only handle recipes that don't read from memory: if
    // they read from memory, there could be an intervening write to memory
    // before the next instance is CSE'd, leading to an incorrect result.
    return !Def->mayReadFromMemory();
  }
 
  /// Hash the underlying data of \p Def.
  static unsigned getHashValue(const VPSingleDefRecipe *Def) {
    const VPlan *Plan = Def->getParent()->getPlan();
    VPTypeAnalysis TypeInfo(*Plan);
    hash_code Result = hash_combine(
        Def->getVPRecipeID(), getOpcodeOrIntrinsicID(Def),
        getGEPSourceElementType(Def), TypeInfo.inferScalarType(Def),
        vputils::isSingleScalar(Def), hash_combine_range(Def->operands()));
    if (auto *RFlags = dyn_cast<VPRecipeWithIRFlags>(Def))
      if (RFlags->hasPredicate())
        return hash_combine(Result, RFlags->getPredicate());
    return Result;
  }
 
  /// Check equality of underlying data of \p L and \p R.
  static bool isEqual(const VPSingleDefRecipe *L, const VPSingleDefRecipe *R) {
    if (isSentinel(L) || isSentinel(R))
      return L == R;
    if (L->getVPRecipeID() != R->getVPRecipeID() ||
        getOpcodeOrIntrinsicID(L) != getOpcodeOrIntrinsicID(R) ||
        getGEPSourceElementType(L) != getGEPSourceElementType(R) ||
        vputils::isSingleScalar(L) != vputils::isSingleScalar(R) ||
        !equal(L->operands(), R->operands()))
      return false;
    assert(getOpcodeOrIntrinsicID(L) && getOpcodeOrIntrinsicID(R) &&
           "must have valid opcode info for both recipes");
    if (auto *LFlags = dyn_cast<VPRecipeWithIRFlags>(L))
      if (LFlags->hasPredicate() &&
          LFlags->getPredicate() !=
              cast<VPRecipeWithIRFlags>(R)->getPredicate())
        return false;
    // Recipes in replicate regions implicitly depend on predicate. If either
    // recipe is in a replicate region, only consider them equal if both have
    // the same parent.
    const VPRegionBlock *RegionL = L->getRegion();
    const VPRegionBlock *RegionR = R->getRegion();
    if (((RegionL && RegionL->isReplicator()) ||
         (RegionR && RegionR->isReplicator())) &&
        L->getParent() != R->getParent())
      return false;
    const VPlan *Plan = L->getParent()->getPlan();
    VPTypeAnalysis TypeInfo(*Plan);
    return TypeInfo.inferScalarType(L) == TypeInfo.inferScalarType(R);
  }
};
} // end anonymous namespace
 
/// Perform a common-subexpression-elimination of VPSingleDefRecipes on the \p
/// Plan.
void VPlanTransforms::cse(VPlan &Plan) {
  VPDominatorTree VPDT(Plan);
  DenseMap<VPSingleDefRecipe *, VPSingleDefRecipe *, VPCSEDenseMapInfo> CSEMap;
 
  ReversePostOrderTraversal<VPBlockDeepTraversalWrapper<VPBlockBase *>> RPOT(
      Plan.getEntry());
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(RPOT)) {
    for (VPRecipeBase &R : *VPBB) {
      auto *Def = dyn_cast<VPSingleDefRecipe>(&R);
      if (!Def || !VPCSEDenseMapInfo::canHandle(Def))
        continue;
      if (VPSingleDefRecipe *V = CSEMap.lookup(Def)) {
        // V must dominate Def for a valid replacement.
        if (!VPDT.dominates(V->getParent(), VPBB))
          continue;
        // Only keep flags present on both V and Def.
        if (auto *RFlags = dyn_cast<VPRecipeWithIRFlags>(V))
          RFlags->intersectFlags(*cast<VPRecipeWithIRFlags>(Def));
        Def->replaceAllUsesWith(V);
        continue;
      }
      CSEMap[Def] = Def;
    }
  }
}
 
/// Move loop-invariant recipes out of the vector loop region in \p Plan.
static void licm(VPlan &Plan) {
  VPBasicBlock *Preheader = Plan.getVectorPreheader();
 
  // Hoist any loop invariant recipes from the vector loop region to the
  // preheader. Preform a shallow traversal of the vector loop region, to
  // exclude recipes in replicate regions. Since the top-level blocks in the
  // vector loop region are guaranteed to execute if the vector pre-header is,
  // we don't need to check speculation safety.
  VPRegionBlock *LoopRegion = Plan.getVectorLoopRegion();
  assert(Preheader->getSingleSuccessor() == LoopRegion &&
         "Expected vector prehader's successor to be the vector loop region");
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(
           vp_depth_first_shallow(LoopRegion->getEntry()))) {
    for (VPRecipeBase &R : make_early_inc_range(*VPBB)) {
      if (cannotHoistOrSinkRecipe(R))
        continue;
      if (any_of(R.operands(), [](VPValue *Op) {
            return !Op->isDefinedOutsideLoopRegions();
          }))
        continue;
      R.moveBefore(*Preheader, Preheader->end());
    }
  }
 
#ifndef NDEBUG
  VPDominatorTree VPDT(Plan);
#endif
  // Sink recipes with no users inside the vector loop region if all users are
  // in the same exit block of the region.
  // TODO: Extend to sink recipes from inner loops.
  PostOrderTraversal<VPBlockShallowTraversalWrapper<VPBlockBase *>> POT(
      LoopRegion->getEntry());
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(POT)) {
    for (VPRecipeBase &R : make_early_inc_range(reverse(*VPBB))) {
      if (cannotHoistOrSinkRecipe(R))
        continue;
 
      if (auto *RepR = dyn_cast<VPReplicateRecipe>(&R)) {
        assert(!RepR->isPredicated() &&
               "Expected prior transformation of predicated replicates to "
               "replicate regions");
        // narrowToSingleScalarRecipes should have already maximally narrowed
        // replicates to single-scalar replicates.
        // TODO: When unrolling, replicateByVF doesn't handle sunk
        // non-single-scalar replicates correctly.
        if (!RepR->isSingleScalar())
          continue;
      }
 
      // TODO: Use R.definedValues() instead of casting to VPSingleDefRecipe to
      // support recipes with multiple defined values (e.g., interleaved loads).
      auto *Def = cast<VPSingleDefRecipe>(&R);
      // Skip recipes without users as we cannot determine a sink block.
      // TODO: Clone sinkable recipes without users to all exit blocks to reduce
      // their execution frequency.
      if (Def->getNumUsers() == 0)
        continue;
 
      VPBasicBlock *SinkBB = nullptr;
      // Cannot sink the recipe if any user
      //  * is defined in any loop region, or
      //  * is a phi, or
      //  * multiple users in different blocks.
      if (any_of(Def->users(), [&SinkBB](VPUser *U) {
            auto *UserR = cast<VPRecipeBase>(U);
            VPBasicBlock *Parent = UserR->getParent();
            // TODO: If the user is a PHI node, we should check the block of
            // incoming value. Support PHI node users if needed.
            if (UserR->isPhi() || Parent->getEnclosingLoopRegion())
              return true;
            // TODO: Support sinking when users are in multiple blocks.
            if (SinkBB && SinkBB != Parent)
              return true;
            SinkBB = Parent;
            return false;
          }))
        continue;
 
      // Only sink to dedicated exit blocks of the loop region.
      if (SinkBB->getSinglePredecessor() != LoopRegion)
        continue;
 
      // TODO: This will need to be a check instead of a assert after
      // conditional branches in vectorized loops are supported.
      assert(VPDT.properlyDominates(VPBB, SinkBB) &&
             "Defining block must dominate sink block");
      // TODO: Clone the recipe if users are on multiple exit paths, instead of
      // just moving.
      Def->moveBefore(*SinkBB, SinkBB->getFirstNonPhi());
    }
  }
}
 
void VPlanTransforms::truncateToMinimalBitwidths(
    VPlan &Plan, const MapVector<Instruction *, uint64_t> &MinBWs) {
  if (Plan.hasScalarVFOnly())
    return;
  // Keep track of created truncates, so they can be re-used. Note that we
  // cannot use RAUW after creating a new truncate, as this would could make
  // other uses have different types for their operands, making them invalidly
  // typed.
  DenseMap<VPValue *, VPWidenCastRecipe *> ProcessedTruncs;
  VPTypeAnalysis TypeInfo(Plan);
  VPBasicBlock *PH = Plan.getVectorPreheader();
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(
           vp_depth_first_deep(Plan.getVectorLoopRegion()))) {
    for (VPRecipeBase &R : make_early_inc_range(*VPBB)) {
      if (!isa<VPWidenRecipe, VPWidenCastRecipe, VPReplicateRecipe,
               VPWidenLoadRecipe, VPWidenIntrinsicRecipe>(&R))
        continue;
 
      VPValue *ResultVPV = R.getVPSingleValue();
      auto *UI = cast_or_null<Instruction>(ResultVPV->getUnderlyingValue());
      unsigned NewResSizeInBits = MinBWs.lookup(UI);
      if (!NewResSizeInBits)
        continue;
 
      // If the value wasn't vectorized, we must maintain the original scalar
      // type. Skip those here, after incrementing NumProcessedRecipes. Also
      // skip casts which do not need to be handled explicitly here, as
      // redundant casts will be removed during recipe simplification.
      if (isa<VPReplicateRecipe, VPWidenCastRecipe>(&R))
        continue;
 
      Type *OldResTy = TypeInfo.inferScalarType(ResultVPV);
      unsigned OldResSizeInBits = OldResTy->getScalarSizeInBits();
      assert(OldResTy->isIntegerTy() && "only integer types supported");
      (void)OldResSizeInBits;
 
      auto *NewResTy = IntegerType::get(Plan.getContext(), NewResSizeInBits);
 
      // Any wrapping introduced by shrinking this operation shouldn't be
      // considered undefined behavior. So, we can't unconditionally copy
      // arithmetic wrapping flags to VPW.
      if (auto *VPW = dyn_cast<VPRecipeWithIRFlags>(&R))
        VPW->dropPoisonGeneratingFlags();
 
      if (OldResSizeInBits != NewResSizeInBits &&
          !match(&R, m_ICmp(m_VPValue(), m_VPValue()))) {
        // Extend result to original width.
        auto *Ext = new VPWidenCastRecipe(
            Instruction::ZExt, ResultVPV, OldResTy, nullptr,
            VPIRFlags::getDefaultFlags(Instruction::ZExt));
        Ext->insertAfter(&R);
        ResultVPV->replaceAllUsesWith(Ext);
        Ext->setOperand(0, ResultVPV);
        assert(OldResSizeInBits > NewResSizeInBits && "Nothing to shrink?");
      } else {
        assert(match(&R, m_ICmp(m_VPValue(), m_VPValue())) &&
               "Only ICmps should not need extending the result.");
      }
 
      assert(!isa<VPWidenStoreRecipe>(&R) && "stores cannot be narrowed");
      if (isa<VPWidenLoadRecipe, VPWidenIntrinsicRecipe>(&R))
        continue;
 
      // Shrink operands by introducing truncates as needed.
      unsigned StartIdx =
          match(&R, m_Select(m_VPValue(), m_VPValue(), m_VPValue())) ? 1 : 0;
      for (unsigned Idx = StartIdx; Idx != R.getNumOperands(); ++Idx) {
        auto *Op = R.getOperand(Idx);
        unsigned OpSizeInBits =
            TypeInfo.inferScalarType(Op)->getScalarSizeInBits();
        if (OpSizeInBits == NewResSizeInBits)
          continue;
        assert(OpSizeInBits > NewResSizeInBits && "nothing to truncate");
        auto [ProcessedIter, IterIsEmpty] = ProcessedTruncs.try_emplace(Op);
        if (!IterIsEmpty) {
          R.setOperand(Idx, ProcessedIter->second);
          continue;
        }
 
        VPBuilder Builder;
        if (isa<VPIRValue>(Op))
          Builder.setInsertPoint(PH);
        else
          Builder.setInsertPoint(&R);
        VPWidenCastRecipe *NewOp =
            Builder.createWidenCast(Instruction::Trunc, Op, NewResTy);
        ProcessedIter->second = NewOp;
        R.setOperand(Idx, NewOp);
      }
 
    }
  }
}
 
void VPlanTransforms::removeBranchOnConst(VPlan &Plan, bool OnlyLatches) {
  std::optional<VPDominatorTree> VPDT;
  if (OnlyLatches)
    VPDT.emplace(Plan);
 
  // Collect all blocks before modifying the CFG so we can identify unreachable
  // ones after constant branch removal.
  SmallVector<VPBlockBase *> AllBlocks(vp_depth_first_shallow(Plan.getEntry()));
 
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(AllBlocks)) {
    VPValue *Cond;
    // Skip blocks that are not terminated by BranchOnCond.
    if (VPBB->empty() || !match(&VPBB->back(), m_BranchOnCond(m_VPValue(Cond))))
      continue;
 
    if (OnlyLatches && !VPBlockUtils::isLatch(VPBB, *VPDT))
      continue;
 
    assert(VPBB->getNumSuccessors() == 2 &&
           "Two successors expected for BranchOnCond");
    unsigned RemovedIdx;
    if (match(Cond, m_True()))
      RemovedIdx = 1;
    else if (match(Cond, m_False()))
      RemovedIdx = 0;
    else
      continue;
 
    VPBasicBlock *RemovedSucc =
        cast<VPBasicBlock>(VPBB->getSuccessors()[RemovedIdx]);
    assert(count(RemovedSucc->getPredecessors(), VPBB) == 1 &&
           "There must be a single edge between VPBB and its successor");
    // Values coming from VPBB into phi recipes of RemovedSucc are removed from
    // these recipes.
    for (VPRecipeBase &R : RemovedSucc->phis())
      cast<VPPhiAccessors>(&R)->removeIncomingValueFor(VPBB);
 
    // Disconnect blocks and remove the terminator.
    VPBlockUtils::disconnectBlocks(VPBB, RemovedSucc);
    VPBB->back().eraseFromParent();
  }
 
  // Compute which blocks are still reachable from the entry after constant
  // branch removal.
  SmallPtrSet<VPBlockBase *, 16> Reachable(
      llvm::from_range, vp_depth_first_shallow(Plan.getEntry()));
 
  // Detach all unreachable blocks from their successors, removing their recipes
  // and incoming values from phi recipes.
  VPSymbolicValue Tmp;
  for (VPBlockBase *B : AllBlocks) {
    if (Reachable.contains(B))
      continue;
    for (VPBlockBase *Succ : to_vector(B->successors())) {
      if (auto *SuccBB = dyn_cast<VPBasicBlock>(Succ))
        for (VPRecipeBase &R : SuccBB->phis())
          cast<VPPhiAccessors>(&R)->removeIncomingValueFor(B);
      VPBlockUtils::disconnectBlocks(B, Succ);
    }
    for (VPBasicBlock *DeadBB :
         VPBlockUtils::blocksOnly<VPBasicBlock>(vp_depth_first_deep(B))) {
      for (VPRecipeBase &R : make_early_inc_range(*DeadBB)) {
        for (VPValue *Def : R.definedValues())
          Def->replaceAllUsesWith(&Tmp);
        R.eraseFromParent();
      }
    }
  }
}
 
void VPlanTransforms::optimize(VPlan &Plan) {
  RUN_VPLAN_PASS(removeRedundantCanonicalIVs, Plan);
  RUN_VPLAN_PASS(removeRedundantInductionCasts, Plan);
 
  RUN_VPLAN_PASS(reassociateHeaderMask, Plan);
  RUN_VPLAN_PASS(simplifyRecipes, Plan);
  RUN_VPLAN_PASS(removeDeadRecipes, Plan);
  RUN_VPLAN_PASS(simplifyBlends, Plan);
  RUN_VPLAN_PASS(legalizeAndOptimizeInductions, Plan);
  RUN_VPLAN_PASS(narrowToSingleScalarRecipes, Plan);
  RUN_VPLAN_PASS(removeRedundantExpandSCEVRecipes, Plan);
  RUN_VPLAN_PASS(reassociateHeaderMask, Plan);
  RUN_VPLAN_PASS(simplifyRecipes, Plan);
  RUN_VPLAN_PASS(removeBranchOnConst, Plan, /*OnlyLatches=*/false);
  RUN_VPLAN_PASS(removeDeadRecipes, Plan);
 
  RUN_VPLAN_PASS(createAndOptimizeReplicateRegions, Plan);
  RUN_VPLAN_PASS(hoistInvariantLoads, Plan);
  RUN_VPLAN_PASS(mergeBlocksIntoPredecessors, Plan);
  RUN_VPLAN_PASS(licm, Plan);
}
 
// Add a VPActiveLaneMaskPHIRecipe and related recipes to \p Plan and replace
// the loop terminator with a branch-on-cond recipe with the negated
// active-lane-mask as operand. Note that this turns the loop into an
// uncountable one. Only the existing terminator is replaced, all other existing
// recipes/users remain unchanged, except for poison-generating flags being
// dropped from the canonical IV increment. Return the created
// VPActiveLaneMaskPHIRecipe.
//
// The function adds the following recipes:
//
// vector.ph:
//   %EntryInc = canonical-iv-increment-for-part CanonicalIVStart
//   %EntryALM = active-lane-mask %EntryInc, TC
//
// vector.body:
//   ...
//   %P = active-lane-mask-phi [ %EntryALM, %vector.ph ], [ %ALM, %vector.body ]
//   ...
//   %InLoopInc = canonical-iv-increment-for-part CanonicalIVIncrement
//   %ALM = active-lane-mask %InLoopInc, TC
//   %Negated = Not %ALM
//   branch-on-cond %Negated
//
static VPActiveLaneMaskPHIRecipe *
addVPLaneMaskPhiAndUpdateExitBranch(VPlan &Plan) {
  VPRegionBlock *TopRegion = Plan.getVectorLoopRegion();
  VPBasicBlock *EB = TopRegion->getExitingBasicBlock();
  auto *CanonicalIVPHI = TopRegion->getCanonicalIV();
  VPValue *StartV = CanonicalIVPHI->getStartValue();
 
  auto *CanonicalIVIncrement =
      cast<VPInstruction>(CanonicalIVPHI->getBackedgeValue());
  // TODO: Check if dropping the flags is needed.
  CanonicalIVIncrement->dropPoisonGeneratingFlags();
  DebugLoc DL = CanonicalIVIncrement->getDebugLoc();
  // We can't use StartV directly in the ActiveLaneMask VPInstruction, since
  // we have to take unrolling into account. Each part needs to start at
  //   Part * VF
  auto *VecPreheader = Plan.getVectorPreheader();
  VPBuilder Builder(VecPreheader);
 
  // Create the ActiveLaneMask instruction using the correct start values.
  VPValue *TC = Plan.getTripCount();
  VPValue *VF = &Plan.getVF();
 
  auto *EntryIncrement = Builder.createOverflowingOp(
      VPInstruction::CanonicalIVIncrementForPart, {StartV, VF}, {false, false},
      DL, "index.part.next");
 
  // Create the active lane mask instruction in the VPlan preheader.
  VPValue *ALMMultiplier =
      Plan.getConstantInt(TopRegion->getCanonicalIVType(), 1);
  auto *EntryALM = Builder.createNaryOp(VPInstruction::ActiveLaneMask,
                                        {EntryIncrement, TC, ALMMultiplier}, DL,
                                        "active.lane.mask.entry");
 
  // Now create the ActiveLaneMaskPhi recipe in the main loop using the
  // preheader ActiveLaneMask instruction.
  auto *LaneMaskPhi =
      new VPActiveLaneMaskPHIRecipe(EntryALM, DebugLoc::getUnknown());
  LaneMaskPhi->insertAfter(CanonicalIVPHI);
 
  // Create the active lane mask for the next iteration of the loop before the
  // original terminator.
  VPRecipeBase *OriginalTerminator = EB->getTerminator();
  Builder.setInsertPoint(OriginalTerminator);
  auto *InLoopIncrement = Builder.createOverflowingOp(
      VPInstruction::CanonicalIVIncrementForPart,
      {CanonicalIVIncrement, &Plan.getVF()}, {false, false}, DL);
  auto *ALM = Builder.createNaryOp(VPInstruction::ActiveLaneMask,
                                   {InLoopIncrement, TC, ALMMultiplier}, DL,
                                   "active.lane.mask.next");
  LaneMaskPhi->addOperand(ALM);
 
  // Replace the original terminator with BranchOnCond. We have to invert the
  // mask here because a true condition means jumping to the exit block.
  auto *NotMask = Builder.createNot(ALM, DL);
  Builder.createNaryOp(VPInstruction::BranchOnCond, {NotMask}, DL);
  OriginalTerminator->eraseFromParent();
  return LaneMaskPhi;
}
 
void VPlanTransforms::addActiveLaneMask(VPlan &Plan,
                                        bool UseActiveLaneMaskForControlFlow) {
  VPRegionBlock *LoopRegion = Plan.getVectorLoopRegion();
  auto *FoundWidenCanonicalIVUser = find_if(
      LoopRegion->getCanonicalIV()->users(), IsaPred<VPWidenCanonicalIVRecipe>);
  assert(FoundWidenCanonicalIVUser &&
         "Must have widened canonical IV when tail folding!");
  VPSingleDefRecipe *HeaderMask = vputils::findHeaderMask(Plan);
  auto *WideCanonicalIV =
      cast<VPWidenCanonicalIVRecipe>(*FoundWidenCanonicalIVUser);
  VPSingleDefRecipe *LaneMask;
  if (UseActiveLaneMaskForControlFlow) {
    LaneMask = addVPLaneMaskPhiAndUpdateExitBranch(Plan);
  } else {
    VPBuilder B = VPBuilder::getToInsertAfter(WideCanonicalIV);
    VPValue *ALMMultiplier =
        Plan.getConstantInt(LoopRegion->getCanonicalIVType(), 1);
    LaneMask =
        B.createNaryOp(VPInstruction::ActiveLaneMask,
                       {WideCanonicalIV, Plan.getTripCount(), ALMMultiplier},
                       nullptr, "active.lane.mask");
  }
 
  // Walk users of WideCanonicalIV and replace the header mask of the form
  // (ICMP_ULE, WideCanonicalIV, backedge-taken-count) with an active-lane-mask,
  // removing the old one to ensure there is always only a single header mask.
  HeaderMask->replaceAllUsesWith(LaneMask);
  HeaderMask->eraseFromParent();
}
 
template <typename Op0_t, typename Op1_t> struct RemoveMask_match {
  Op0_t In;
  Op1_t &Out;
 
  RemoveMask_match(const Op0_t &In, Op1_t &Out) : In(In), Out(Out) {}
 
  template <typename OpTy> bool match(OpTy *V) const {
    if (m_Specific(In).match(V)) {
      Out = nullptr;
      return true;
    }
    return m_LogicalAnd(m_Specific(In), m_VPValue(Out)).match(V);
  }
};
 
/// Match a specific mask \p In, or a combination of it (logical-and In, Out).
/// Returns the remaining part \p Out if so, or nullptr otherwise.
template <typename Op0_t, typename Op1_t>
static inline RemoveMask_match<Op0_t, Op1_t> m_RemoveMask(const Op0_t &In,
                                                          Op1_t &Out) {
  return RemoveMask_match<Op0_t, Op1_t>(In, Out);
}
 
/// Try to optimize a \p CurRecipe masked by \p HeaderMask to a corresponding
/// EVL-based recipe without the header mask. Returns nullptr if no EVL-based
/// recipe could be created.
/// \p HeaderMask  Header Mask.
/// \p CurRecipe   Recipe to be transform.
/// \p TypeInfo    VPlan-based type analysis.
/// \p EVL         The explicit vector length parameter of vector-predication
/// intrinsics.
static VPRecipeBase *optimizeMaskToEVL(VPValue *HeaderMask,
                                       VPRecipeBase &CurRecipe,
                                       VPTypeAnalysis &TypeInfo, VPValue &EVL) {
  VPlan *Plan = CurRecipe.getParent()->getPlan();
  DebugLoc DL = CurRecipe.getDebugLoc();
  VPValue *Addr, *Mask, *EndPtr;
 
  /// Adjust any end pointers so that they point to the end of EVL lanes not VF.
  auto AdjustEndPtr = [&CurRecipe, &EVL](VPValue *EndPtr) {
    auto *EVLEndPtr = cast<VPVectorEndPointerRecipe>(EndPtr)->clone();
    EVLEndPtr->insertBefore(&CurRecipe);
    EVLEndPtr->setOperand(1, &EVL);
    return EVLEndPtr;
  };
 
  auto GetVPReverse = [&CurRecipe, &EVL, &TypeInfo, Plan,
                       DL](VPValue *V) -> VPWidenIntrinsicRecipe * {
    if (!V)
      return nullptr;
    auto *Reverse = new VPWidenIntrinsicRecipe(
        Intrinsic::experimental_vp_reverse, {V, Plan->getTrue(), &EVL},
        TypeInfo.inferScalarType(V), {}, {}, DL);
    Reverse->insertBefore(&CurRecipe);
    return Reverse;
  };
 
  if (match(&CurRecipe,
            m_MaskedLoad(m_VPValue(Addr), m_RemoveMask(HeaderMask, Mask))))
    return new VPWidenLoadEVLRecipe(cast<VPWidenLoadRecipe>(CurRecipe), Addr,
                                    EVL, Mask);
 
  VPValue *ReversedVal;
  if (match(&CurRecipe, m_Reverse(m_VPValue(ReversedVal))) &&
      match(ReversedVal,
            m_MaskedLoad(m_VPValue(EndPtr),
                         m_Reverse(m_RemoveMask(HeaderMask, Mask)))) &&
      match(EndPtr, m_VecEndPtr(m_VPValue(), m_Specific(&Plan->getVF())))) {
    Mask = GetVPReverse(Mask);
    Addr = AdjustEndPtr(EndPtr);
    auto *LoadR = new VPWidenLoadEVLRecipe(
        *cast<VPWidenLoadRecipe>(ReversedVal), Addr, EVL, Mask);
    LoadR->insertBefore(&CurRecipe);
    return new VPWidenIntrinsicRecipe(
        Intrinsic::experimental_vp_reverse, {LoadR, Plan->getTrue(), &EVL},
        TypeInfo.inferScalarType(LoadR), {}, {}, DL);
  }
 
  VPValue *StoredVal;
  if (match(&CurRecipe, m_MaskedStore(m_VPValue(Addr), m_VPValue(StoredVal),
                                      m_RemoveMask(HeaderMask, Mask))))
    return new VPWidenStoreEVLRecipe(cast<VPWidenStoreRecipe>(CurRecipe), Addr,
                                     StoredVal, EVL, Mask);
 
  if (match(&CurRecipe,
            m_MaskedStore(m_VPValue(EndPtr), m_Reverse(m_VPValue(ReversedVal)),
                          m_Reverse(m_RemoveMask(HeaderMask, Mask)))) &&
      match(EndPtr, m_VecEndPtr(m_VPValue(), m_Specific(&Plan->getVF())))) {
    Mask = GetVPReverse(Mask);
    Addr = AdjustEndPtr(EndPtr);
    StoredVal = GetVPReverse(ReversedVal);
    return new VPWidenStoreEVLRecipe(cast<VPWidenStoreRecipe>(CurRecipe), Addr,
                                     StoredVal, EVL, Mask);
  }
 
  if (auto *Rdx = dyn_cast<VPReductionRecipe>(&CurRecipe))
    if (Rdx->isConditional() &&
        match(Rdx->getCondOp(), m_RemoveMask(HeaderMask, Mask)))
      return new VPReductionEVLRecipe(*Rdx, EVL, Mask);
 
  if (auto *Interleave = dyn_cast<VPInterleaveRecipe>(&CurRecipe))
    if (Interleave->getMask() &&
        match(Interleave->getMask(), m_RemoveMask(HeaderMask, Mask)))
      return new VPInterleaveEVLRecipe(*Interleave, EVL, Mask);
 
  VPValue *LHS, *RHS;
  if (match(&CurRecipe,
            m_Select(m_Specific(HeaderMask), m_VPValue(LHS), m_VPValue(RHS))))
    return new VPWidenIntrinsicRecipe(
        Intrinsic::vp_merge, {Plan->getTrue(), LHS, RHS, &EVL},
        TypeInfo.inferScalarType(LHS), {}, {}, DL);
 
  if (match(&CurRecipe, m_Select(m_RemoveMask(HeaderMask, Mask), m_VPValue(LHS),
                                 m_VPValue(RHS))))
    return new VPWidenIntrinsicRecipe(
        Intrinsic::vp_merge, {Mask, LHS, RHS, &EVL},
        TypeInfo.inferScalarType(LHS), {}, {}, DL);
 
  if (match(&CurRecipe, m_LastActiveLane(m_Specific(HeaderMask)))) {
    Type *Ty = TypeInfo.inferScalarType(CurRecipe.getVPSingleValue());
    VPValue *ZExt = VPBuilder(&CurRecipe)
                        .createScalarZExtOrTrunc(
                            &EVL, Ty, TypeInfo.inferScalarType(&EVL), DL);
    return new VPInstruction(
        Instruction::Sub, {ZExt, Plan->getConstantInt(Ty, 1)},
        VPIRFlags::getDefaultFlags(Instruction::Sub), {}, DL);
  }
 
  return nullptr;
}
 
/// Optimize away any EVL-based header masks to VP intrinsic based recipes.
/// The transforms here need to preserve the original semantics.
void VPlanTransforms::optimizeEVLMasks(VPlan &Plan) {
  // Find the EVL-based header mask if it exists: icmp ult step-vector, EVL
  VPValue *HeaderMask = nullptr, *EVL = nullptr;
  for (VPRecipeBase &R : *Plan.getVectorLoopRegion()->getEntryBasicBlock()) {
    if (match(&R, m_SpecificICmp(CmpInst::ICMP_ULT, m_StepVector(),
                                 m_VPValue(EVL))) &&
        match(EVL, m_EVL(m_VPValue()))) {
      HeaderMask = R.getVPSingleValue();
      break;
    }
  }
  if (!HeaderMask)
    return;
 
  VPTypeAnalysis TypeInfo(Plan);
  SmallVector<VPRecipeBase *> OldRecipes;
  for (VPUser *U : collectUsersRecursively(HeaderMask)) {
    VPRecipeBase *R = cast<VPRecipeBase>(U);
    if (auto *NewR = optimizeMaskToEVL(HeaderMask, *R, TypeInfo, *EVL)) {
      NewR->insertBefore(R);
      for (auto [Old, New] :
           zip_equal(R->definedValues(), NewR->definedValues()))
        Old->replaceAllUsesWith(New);
      OldRecipes.push_back(R);
    }
  }
 
  // Replace remaining (HeaderMask && Mask) with vp.merge (True, Mask,
  // False, EVL)
  for (VPUser *U : collectUsersRecursively(HeaderMask)) {
    VPValue *Mask;
    if (match(U, m_LogicalAnd(m_Specific(HeaderMask), m_VPValue(Mask)))) {
      auto *LogicalAnd = cast<VPInstruction>(U);
      auto *Merge = new VPWidenIntrinsicRecipe(
          Intrinsic::vp_merge, {Plan.getTrue(), Mask, Plan.getFalse(), EVL},
          TypeInfo.inferScalarType(Mask), {}, {}, LogicalAnd->getDebugLoc());
      Merge->insertBefore(LogicalAnd);
      LogicalAnd->replaceAllUsesWith(Merge);
      OldRecipes.push_back(LogicalAnd);
    }
  }
 
  // Erase old recipes at the end so we don't invalidate TypeInfo.
  for (VPRecipeBase *R : reverse(OldRecipes)) {
    SmallVector<VPValue *> PossiblyDead(R->operands());
    R->eraseFromParent();
    for (VPValue *Op : PossiblyDead)
      recursivelyDeleteDeadRecipes(Op);
  }
}
 
/// After replacing the canonical IV with a EVL-based IV, fixup recipes that use
/// VF to use the EVL instead to avoid incorrect updates on the penultimate
/// iteration.
static void fixupVFUsersForEVL(VPlan &Plan, VPValue &EVL) {
  VPTypeAnalysis TypeInfo(Plan);
  VPRegionBlock *LoopRegion = Plan.getVectorLoopRegion();
  VPBasicBlock *Header = LoopRegion->getEntryBasicBlock();
 
  assert(all_of(Plan.getVF().users(),
                IsaPred<VPVectorEndPointerRecipe, VPScalarIVStepsRecipe,
                        VPWidenIntOrFpInductionRecipe>) &&
         "User of VF that we can't transform to EVL.");
  Plan.getVF().replaceUsesWithIf(&EVL, [](VPUser &U, unsigned Idx) {
    return isa<VPWidenIntOrFpInductionRecipe, VPScalarIVStepsRecipe>(U);
  });
 
  assert(all_of(Plan.getVFxUF().users(),
                match_fn(m_CombineOr(
                    m_c_Add(m_Specific(LoopRegion->getCanonicalIV()),
                            m_Specific(&Plan.getVFxUF())),
                    m_Isa<VPWidenPointerInductionRecipe>()))) &&
         "Only users of VFxUF should be VPWidenPointerInductionRecipe and the "
         "increment of the canonical induction.");
  Plan.getVFxUF().replaceUsesWithIf(&EVL, [](VPUser &U, unsigned Idx) {
    // Only replace uses in VPWidenPointerInductionRecipe; The increment of the
    // canonical induction must not be updated.
    return isa<VPWidenPointerInductionRecipe>(U);
  });
 
  // Create a scalar phi to track the previous EVL if fixed-order recurrence is
  // contained.
  bool ContainsFORs =
      any_of(Header->phis(), IsaPred<VPFirstOrderRecurrencePHIRecipe>);
  if (ContainsFORs) {
    // TODO: Use VPInstruction::ExplicitVectorLength to get maximum EVL.
    VPValue *MaxEVL = &Plan.getVF();
    // Emit VPScalarCastRecipe in preheader if VF is not a 32 bits integer.
    VPBuilder Builder(LoopRegion->getPreheaderVPBB());
    MaxEVL = Builder.createScalarZExtOrTrunc(
        MaxEVL, Type::getInt32Ty(Plan.getContext()),
        TypeInfo.inferScalarType(MaxEVL), DebugLoc::getUnknown());
 
    Builder.setInsertPoint(Header, Header->getFirstNonPhi());
    VPValue *PrevEVL = Builder.createScalarPhi(
        {MaxEVL, &EVL}, DebugLoc::getUnknown(), "prev.evl");
 
    for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(
             vp_depth_first_deep(Plan.getVectorLoopRegion()->getEntry()))) {
      for (VPRecipeBase &R : *VPBB) {
        VPValue *V1, *V2;
        if (!match(&R,
                   m_VPInstruction<VPInstruction::FirstOrderRecurrenceSplice>(
                       m_VPValue(V1), m_VPValue(V2))))
          continue;
        VPValue *Imm = Plan.getOrAddLiveIn(
            ConstantInt::getSigned(Type::getInt32Ty(Plan.getContext()), -1));
        VPWidenIntrinsicRecipe *VPSplice = new VPWidenIntrinsicRecipe(
            Intrinsic::experimental_vp_splice,
            {V1, V2, Imm, Plan.getTrue(), PrevEVL, &EVL},
            TypeInfo.inferScalarType(R.getVPSingleValue()), {}, {},
            R.getDebugLoc());
        VPSplice->insertBefore(&R);
        R.getVPSingleValue()->replaceAllUsesWith(VPSplice);
      }
    }
  }
 
  VPValue *HeaderMask = vputils::findHeaderMask(Plan);
  if (!HeaderMask)
    return;
 
  // Ensure that any reduction that uses a select to mask off tail lanes does so
  // in the vector loop, not the middle block, since EVL tail folding can have
  // tail elements in the penultimate iteration.
  assert(all_of(*Plan.getMiddleBlock(), [&Plan, HeaderMask](VPRecipeBase &R) {
    if (match(&R, m_ComputeReductionResult(m_Select(m_Specific(HeaderMask),
                                                    m_VPValue(), m_VPValue()))))
      return R.getOperand(0)->getDefiningRecipe()->getRegion() ==
             Plan.getVectorLoopRegion();
    return true;
  }));
 
  // Replace header masks with a mask equivalent to predicating by EVL:
  //
  // icmp ule widen-canonical-iv backedge-taken-count
  // ->
  // icmp ult step-vector, EVL
  VPRecipeBase *EVLR = EVL.getDefiningRecipe();
  VPBuilder Builder(EVLR->getParent(), std::next(EVLR->getIterator()));
  Type *EVLType = TypeInfo.inferScalarType(&EVL);
  VPValue *EVLMask = Builder.createICmp(
      CmpInst::ICMP_ULT,
      Builder.createNaryOp(VPInstruction::StepVector, {}, EVLType), &EVL);
  HeaderMask->replaceAllUsesWith(EVLMask);
}
 
/// Converts a tail folded vector loop region to step by
/// VPInstruction::ExplicitVectorLength elements instead of VF elements each
/// iteration.
///
/// - Add a VPCurrentIterationPHIRecipe and related recipes to \p Plan and
///   replaces all uses except the canonical IV increment of
///   VPCanonicalIVPHIRecipe with a VPCurrentIterationPHIRecipe.
///   VPCanonicalIVPHIRecipe is used only for loop iterations counting after
///   this transformation.
///
/// - The header mask is replaced with a header mask based on the EVL.
///
/// - Plans with FORs have a new phi added to keep track of the EVL of the
///   previous iteration, and VPFirstOrderRecurrencePHIRecipes are replaced with
///   @llvm.vp.splice.
///
/// The function uses the following definitions:
///  %StartV is the canonical induction start value.
///
/// The function adds the following recipes:
///
/// vector.ph:
/// ...
///
/// vector.body:
/// ...
/// %CurrentIter = CURRENT-ITERATION-PHI [ %StartV, %vector.ph ],
///                                      [ %NextIter, %vector.body ]
/// %AVL = phi [ trip-count, %vector.ph ], [ %NextAVL, %vector.body ]
/// %VPEVL = EXPLICIT-VECTOR-LENGTH %AVL
/// ...
/// %OpEVL = cast i32 %VPEVL to IVSize
/// %NextIter = add IVSize %OpEVL, %CurrentIter
/// %NextAVL = sub IVSize nuw %AVL, %OpEVL
/// ...
///
/// If MaxSafeElements is provided, the function adds the following recipes:
/// vector.ph:
/// ...
///
/// vector.body:
/// ...
/// %CurrentIter = CURRENT-ITERATION-PHI [ %StartV, %vector.ph ],
///                                      [ %NextIter, %vector.body ]
/// %AVL = phi [ trip-count, %vector.ph ], [ %NextAVL, %vector.body ]
/// %cmp = cmp ult %AVL, MaxSafeElements
/// %SAFE_AVL = select %cmp, %AVL, MaxSafeElements
/// %VPEVL = EXPLICIT-VECTOR-LENGTH %SAFE_AVL
/// ...
/// %OpEVL = cast i32 %VPEVL to IVSize
/// %NextIter = add IVSize %OpEVL, %CurrentIter
/// %NextAVL = sub IVSize nuw %AVL, %OpEVL
/// ...
///
void VPlanTransforms::addExplicitVectorLength(
    VPlan &Plan, const std::optional<unsigned> &MaxSafeElements) {
  if (Plan.hasScalarVFOnly())
    return;
  VPRegionBlock *LoopRegion = Plan.getVectorLoopRegion();
  VPBasicBlock *Header = LoopRegion->getEntryBasicBlock();
 
  auto *CanonicalIVPHI = LoopRegion->getCanonicalIV();
  auto *CanIVTy = LoopRegion->getCanonicalIVType();
  VPValue *StartV = CanonicalIVPHI->getStartValue();
 
  // Create the CurrentIteration recipe in the vector loop.
  auto *CurrentIteration =
      new VPCurrentIterationPHIRecipe(StartV, DebugLoc::getUnknown());
  CurrentIteration->insertAfter(CanonicalIVPHI);
  VPBuilder Builder(Header, Header->getFirstNonPhi());
  // Create the AVL (application vector length), starting from TC -> 0 in steps
  // of EVL.
  VPPhi *AVLPhi = Builder.createScalarPhi(
      {Plan.getTripCount()}, DebugLoc::getCompilerGenerated(), "avl");
  VPValue *AVL = AVLPhi;
 
  if (MaxSafeElements) {
    // Support for MaxSafeDist for correct loop emission.
    VPValue *AVLSafe = Plan.getConstantInt(CanIVTy, *MaxSafeElements);
    VPValue *Cmp = Builder.createICmp(ICmpInst::ICMP_ULT, AVL, AVLSafe);
    AVL = Builder.createSelect(Cmp, AVL, AVLSafe, DebugLoc::getUnknown(),
                               "safe_avl");
  }
  auto *VPEVL = Builder.createNaryOp(VPInstruction::ExplicitVectorLength, AVL,
                                     DebugLoc::getUnknown(), "evl");
 
  auto *CanonicalIVIncrement =
      cast<VPInstruction>(CanonicalIVPHI->getBackedgeValue());
  Builder.setInsertPoint(CanonicalIVIncrement);
  VPValue *OpVPEVL = VPEVL;
 
  auto *I32Ty = Type::getInt32Ty(Plan.getContext());
  OpVPEVL = Builder.createScalarZExtOrTrunc(
      OpVPEVL, CanIVTy, I32Ty, CanonicalIVIncrement->getDebugLoc());
 
  auto *NextIter = Builder.createAdd(
      OpVPEVL, CurrentIteration, CanonicalIVIncrement->getDebugLoc(),
      "current.iteration.next", CanonicalIVIncrement->getNoWrapFlags());
  CurrentIteration->addOperand(NextIter);
 
  VPValue *NextAVL =
      Builder.createSub(AVLPhi, OpVPEVL, DebugLoc::getCompilerGenerated(),
                        "avl.next", {/*NUW=*/true, /*NSW=*/false});
  AVLPhi->addOperand(NextAVL);
 
  fixupVFUsersForEVL(Plan, *VPEVL);
  removeDeadRecipes(Plan);
 
  // Replace all uses of VPCanonicalIVPHIRecipe by
  // VPCurrentIterationPHIRecipe except for the canonical IV increment.
  CanonicalIVPHI->replaceAllUsesWith(CurrentIteration);
  CanonicalIVIncrement->setOperand(0, CanonicalIVPHI);
  // TODO: support unroll factor > 1.
  Plan.setUF(1);
}
 
void VPlanTransforms::convertToVariableLengthStep(VPlan &Plan) {
  // Find the vector loop entry by locating VPCurrentIterationPHIRecipe.
  // There should be only one VPCurrentIteration in the entire plan.
  VPCurrentIterationPHIRecipe *CurrentIteration = nullptr;
 
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(
           vp_depth_first_shallow(Plan.getEntry())))
    for (VPRecipeBase &R : VPBB->phis())
      if (auto *PhiR = dyn_cast<VPCurrentIterationPHIRecipe>(&R)) {
        assert(!CurrentIteration &&
               "Found multiple CurrentIteration. Only one expected");
        CurrentIteration = PhiR;
      }
 
  // Early return if it is not variable-length stepping.
  if (!CurrentIteration)
    return;
 
  VPBasicBlock *HeaderVPBB = CurrentIteration->getParent();
  VPValue *CurrentIterationIncr = CurrentIteration->getBackedgeValue();
 
  // Convert CurrentIteration to concrete recipe.
  auto *ScalarR =
      VPBuilder(CurrentIteration)
          .createScalarPhi(
              {CurrentIteration->getStartValue(), CurrentIterationIncr},
              CurrentIteration->getDebugLoc(), "current.iteration.iv");
  CurrentIteration->replaceAllUsesWith(ScalarR);
  CurrentIteration->eraseFromParent();
 
  // Replace CanonicalIVInc with CurrentIteration increment.
  auto *CanonicalIV = cast<VPPhi>(&*HeaderVPBB->begin());
  VPValue *Backedge = CanonicalIV->getIncomingValue(1);
  assert(match(Backedge, m_c_Add(m_Specific(CanonicalIV),
                                 m_Specific(&Plan.getVFxUF()))) &&
         "Unexpected canonical iv");
  Backedge->replaceAllUsesWith(CurrentIterationIncr);
 
  // Remove unused phi and increment.
  VPRecipeBase *CanonicalIVIncrement = Backedge->getDefiningRecipe();
  CanonicalIVIncrement->eraseFromParent();
  CanonicalIV->eraseFromParent();
}
 
void VPlanTransforms::convertEVLExitCond(VPlan &Plan) {
  VPRegionBlock *LoopRegion = Plan.getVectorLoopRegion();
  // The canonical IV may not exist at this stage.
  if (!LoopRegion ||
      !isa<VPCanonicalIVPHIRecipe>(LoopRegion->getEntryBasicBlock()->front()))
    return;
  VPCanonicalIVPHIRecipe *CanIV = LoopRegion->getCanonicalIV();
  if (std::next(CanIV->getIterator()) == CanIV->getParent()->end())
    return;
  // The EVL IV is always immediately after the canonical IV.
  auto *EVLPhi = dyn_cast_or_null<VPCurrentIterationPHIRecipe>(
      std::next(CanIV->getIterator()));
  if (!EVLPhi)
    return;
 
  // Bail if not an EVL tail folded loop.
  VPValue *AVL;
  if (!match(EVLPhi->getBackedgeValue(),
             m_c_Add(m_ZExtOrSelf(m_EVL(m_VPValue(AVL))), m_Specific(EVLPhi))))
    return;
 
  // The AVL may be capped to a safe distance.
  VPValue *SafeAVL, *UnsafeAVL;
  if (match(AVL,
            m_Select(m_SpecificICmp(CmpInst::ICMP_ULT, m_VPValue(UnsafeAVL),
                                    m_VPValue(SafeAVL)),
                     m_Deferred(UnsafeAVL), m_Deferred(SafeAVL))))
    AVL = UnsafeAVL;
 
  VPValue *AVLNext;
  [[maybe_unused]] bool FoundAVLNext =
      match(AVL, m_VPInstruction<Instruction::PHI>(
                     m_Specific(Plan.getTripCount()), m_VPValue(AVLNext)));
  assert(FoundAVLNext && "Didn't find AVL backedge?");
 
  VPBasicBlock *Latch = LoopRegion->getExitingBasicBlock();
  auto *LatchBr = cast<VPInstruction>(Latch->getTerminator());
  if (match(LatchBr, m_BranchOnCond(m_True())))
    return;
 
  assert(
      match(LatchBr,
            m_BranchOnCond(m_SpecificCmp(
                CmpInst::ICMP_EQ, m_Specific(CanIV->getIncomingValue(1)),
                m_Specific(&Plan.getVectorTripCount())))) &&
      "Expected BranchOnCond with ICmp comparing CanIV increment with vector "
      "trip count");
 
  Type *AVLTy = VPTypeAnalysis(Plan).inferScalarType(AVLNext);
  VPBuilder Builder(LatchBr);
  LatchBr->setOperand(
      0, Builder.createICmp(CmpInst::ICMP_EQ, AVLNext, Plan.getZero(AVLTy)));
}
 
void VPlanTransforms::replaceSymbolicStrides(
    VPlan &Plan, PredicatedScalarEvolution &PSE,
    const DenseMap<Value *, const SCEV *> &StridesMap) {
  // Replace VPValues for known constant strides guaranteed by predicate scalar
  // evolution.
  auto CanUseVersionedStride = [&Plan](VPUser &U, unsigned) {
    auto *R = cast<VPRecipeBase>(&U);
    return R->getRegion() ||
           R->getParent() == Plan.getVectorLoopRegion()->getSinglePredecessor();
  };
  ValueToSCEVMapTy RewriteMap;
  for (const SCEV *Stride : StridesMap.values()) {
    using namespace SCEVPatternMatch;
    auto *StrideV = cast<SCEVUnknown>(Stride)->getValue();
    const APInt *StrideConst;
    if (!match(PSE.getSCEV(StrideV), m_scev_APInt(StrideConst)))
      // Only handle constant strides for now.
      continue;
 
    auto *CI = Plan.getConstantInt(*StrideConst);
    if (VPValue *StrideVPV = Plan.getLiveIn(StrideV))
      StrideVPV->replaceUsesWithIf(CI, CanUseVersionedStride);
 
    // The versioned value may not be used in the loop directly but through a
    // sext/zext. Add new live-ins in those cases.
    for (Value *U : StrideV->users()) {
      if (!isa<SExtInst, ZExtInst>(U))
        continue;
      VPValue *StrideVPV = Plan.getLiveIn(U);
      if (!StrideVPV)
        continue;
      unsigned BW = U->getType()->getScalarSizeInBits();
      APInt C =
          isa<SExtInst>(U) ? StrideConst->sext(BW) : StrideConst->zext(BW);
      VPValue *CI = Plan.getConstantInt(C);
      StrideVPV->replaceUsesWithIf(CI, CanUseVersionedStride);
    }
    RewriteMap[StrideV] = PSE.getSCEV(StrideV);
  }
 
  for (VPRecipeBase &R : *Plan.getEntry()) {
    auto *ExpSCEV = dyn_cast<VPExpandSCEVRecipe>(&R);
    if (!ExpSCEV)
      continue;
    const SCEV *ScevExpr = ExpSCEV->getSCEV();
    auto *NewSCEV =
        SCEVParameterRewriter::rewrite(ScevExpr, *PSE.getSE(), RewriteMap);
    if (NewSCEV != ScevExpr) {
      VPValue *NewExp = vputils::getOrCreateVPValueForSCEVExpr(Plan, NewSCEV);
      ExpSCEV->replaceAllUsesWith(NewExp);
      if (Plan.getTripCount() == ExpSCEV)
        Plan.resetTripCount(NewExp);
    }
  }
}
 
void VPlanTransforms::dropPoisonGeneratingRecipes(
    VPlan &Plan,
    const std::function<bool(BasicBlock *)> &BlockNeedsPredication) {
  // Collect recipes in the backward slice of `Root` that may generate a poison
  // value that is used after vectorization.
  SmallPtrSet<VPRecipeBase *, 16> Visited;
  auto CollectPoisonGeneratingInstrsInBackwardSlice([&](VPRecipeBase *Root) {
    SmallVector<VPRecipeBase *, 16> Worklist;
    Worklist.push_back(Root);
 
    // Traverse the backward slice of Root through its use-def chain.
    while (!Worklist.empty()) {
      VPRecipeBase *CurRec = Worklist.pop_back_val();
 
      if (!Visited.insert(CurRec).second)
        continue;
 
      // Prune search if we find another recipe generating a widen memory
      // instruction. Widen memory instructions involved in address computation
      // will lead to gather/scatter instructions, which don't need to be
      // handled.
      if (isa<VPWidenMemoryRecipe, VPInterleaveRecipe, VPScalarIVStepsRecipe,
              VPHeaderPHIRecipe>(CurRec))
        continue;
 
      // This recipe contributes to the address computation of a widen
      // load/store. If the underlying instruction has poison-generating flags,
      // drop them directly.
      if (auto *RecWithFlags = dyn_cast<VPRecipeWithIRFlags>(CurRec)) {
        VPValue *A, *B;
        // Dropping disjoint from an OR may yield incorrect results, as some
        // analysis may have converted it to an Add implicitly (e.g. SCEV used
        // for dependence analysis). Instead, replace it with an equivalent Add.
        // This is possible as all users of the disjoint OR only access lanes
        // where the operands are disjoint or poison otherwise.
        if (match(RecWithFlags, m_BinaryOr(m_VPValue(A), m_VPValue(B))) &&
            RecWithFlags->isDisjoint()) {
          VPBuilder Builder(RecWithFlags);
          VPInstruction *New =
              Builder.createAdd(A, B, RecWithFlags->getDebugLoc());
          New->setUnderlyingValue(RecWithFlags->getUnderlyingValue());
          RecWithFlags->replaceAllUsesWith(New);
          RecWithFlags->eraseFromParent();
          CurRec = New;
        } else
          RecWithFlags->dropPoisonGeneratingFlags();
      } else {
        Instruction *Instr = dyn_cast_or_null<Instruction>(
            CurRec->getVPSingleValue()->getUnderlyingValue());
        (void)Instr;
        assert((!Instr || !Instr->hasPoisonGeneratingFlags()) &&
               "found instruction with poison generating flags not covered by "
               "VPRecipeWithIRFlags");
      }
 
      // Add new definitions to the worklist.
      for (VPValue *Operand : CurRec->operands())
        if (VPRecipeBase *OpDef = Operand->getDefiningRecipe())
          Worklist.push_back(OpDef);
    }
  });
 
  // Traverse all the recipes in the VPlan and collect the poison-generating
  // recipes in the backward slice starting at the address of a VPWidenRecipe or
  // VPInterleaveRecipe.
  auto Iter = vp_depth_first_deep(Plan.getEntry());
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(Iter)) {
    for (VPRecipeBase &Recipe : *VPBB) {
      if (auto *WidenRec = dyn_cast<VPWidenMemoryRecipe>(&Recipe)) {
        Instruction &UnderlyingInstr = WidenRec->getIngredient();
        VPRecipeBase *AddrDef = WidenRec->getAddr()->getDefiningRecipe();
        if (AddrDef && WidenRec->isConsecutive() &&
            BlockNeedsPredication(UnderlyingInstr.getParent()))
          CollectPoisonGeneratingInstrsInBackwardSlice(AddrDef);
      } else if (auto *InterleaveRec = dyn_cast<VPInterleaveRecipe>(&Recipe)) {
        VPRecipeBase *AddrDef = InterleaveRec->getAddr()->getDefiningRecipe();
        if (AddrDef) {
          // Check if any member of the interleave group needs predication.
          const InterleaveGroup<Instruction> *InterGroup =
              InterleaveRec->getInterleaveGroup();
          bool NeedPredication = false;
          for (int I = 0, NumMembers = InterGroup->getNumMembers();
               I < NumMembers; ++I) {
            Instruction *Member = InterGroup->getMember(I);
            if (Member)
              NeedPredication |= BlockNeedsPredication(Member->getParent());
          }
 
          if (NeedPredication)
            CollectPoisonGeneratingInstrsInBackwardSlice(AddrDef);
        }
      }
    }
  }
}
 
void VPlanTransforms::createInterleaveGroups(
    VPlan &Plan,
    const SmallPtrSetImpl<const InterleaveGroup<Instruction> *>
        &InterleaveGroups,
    VPRecipeBuilder &RecipeBuilder, const bool &EpilogueAllowed) {
  if (InterleaveGroups.empty())
    return;
 
  // Interleave memory: for each Interleave Group we marked earlier as relevant
  // for this VPlan, replace the Recipes widening its memory instructions with a
  // single VPInterleaveRecipe at its insertion point.
  VPDominatorTree VPDT(Plan);
  for (const auto *IG : InterleaveGroups) {
    auto *Start =
        cast<VPWidenMemoryRecipe>(RecipeBuilder.getRecipe(IG->getMember(0)));
    VPIRMetadata InterleaveMD(*Start);
    SmallVector<VPValue *, 4> StoredValues;
    if (auto *StoreR = dyn_cast<VPWidenStoreRecipe>(Start))
      StoredValues.push_back(StoreR->getStoredValue());
    for (unsigned I = 1; I < IG->getFactor(); ++I) {
      Instruction *MemberI = IG->getMember(I);
      if (!MemberI)
        continue;
      VPWidenMemoryRecipe *MemoryR =
          cast<VPWidenMemoryRecipe>(RecipeBuilder.getRecipe(MemberI));
      if (auto *StoreR = dyn_cast<VPWidenStoreRecipe>(MemoryR))
        StoredValues.push_back(StoreR->getStoredValue());
      InterleaveMD.intersect(*MemoryR);
    }
 
    bool NeedsMaskForGaps =
        (IG->requiresScalarEpilogue() && !EpilogueAllowed) ||
        (!StoredValues.empty() && !IG->isFull());
 
    Instruction *IRInsertPos = IG->getInsertPos();
    auto *InsertPos =
        cast<VPWidenMemoryRecipe>(RecipeBuilder.getRecipe(IRInsertPos));
 
    GEPNoWrapFlags NW = GEPNoWrapFlags::none();
    if (auto *Gep = dyn_cast<GetElementPtrInst>(
            getLoadStorePointerOperand(IRInsertPos)->stripPointerCasts()))
      NW = Gep->getNoWrapFlags().withoutNoUnsignedWrap();
 
    // Get or create the start address for the interleave group.
    VPValue *Addr = Start->getAddr();
    VPRecipeBase *AddrDef = Addr->getDefiningRecipe();
    if (AddrDef && !VPDT.properlyDominates(AddrDef, InsertPos)) {
      // We cannot re-use the address of member zero because it does not
      // dominate the insert position. Instead, use the address of the insert
      // position and create a PtrAdd adjusting it to the address of member
      // zero.
      // TODO: Hoist Addr's defining recipe (and any operands as needed) to
      // InsertPos or sink loads above zero members to join it.
      assert(IG->getIndex(IRInsertPos) != 0 &&
             "index of insert position shouldn't be zero");
      auto &DL = IRInsertPos->getDataLayout();
      APInt Offset(32,
                   DL.getTypeAllocSize(getLoadStoreType(IRInsertPos)) *
                       IG->getIndex(IRInsertPos),
                   /*IsSigned=*/true);
      VPValue *OffsetVPV = Plan.getConstantInt(-Offset);
      VPBuilder B(InsertPos);
      Addr = B.createNoWrapPtrAdd(InsertPos->getAddr(), OffsetVPV, NW);
    }
    // If the group is reverse, adjust the index to refer to the last vector
    // lane instead of the first. We adjust the index from the first vector
    // lane, rather than directly getting the pointer for lane VF - 1, because
    // the pointer operand of the interleaved access is supposed to be uniform.
    if (IG->isReverse()) {
      auto *ReversePtr = new VPVectorEndPointerRecipe(
          Addr, &Plan.getVF(), getLoadStoreType(IRInsertPos),
          -(int64_t)IG->getFactor(), NW, InsertPos->getDebugLoc());
      ReversePtr->insertBefore(InsertPos);
      Addr = ReversePtr;
    }
    auto *VPIG = new VPInterleaveRecipe(IG, Addr, StoredValues,
                                        InsertPos->getMask(), NeedsMaskForGaps,
                                        InterleaveMD, InsertPos->getDebugLoc());
    VPIG->insertBefore(InsertPos);
 
    unsigned J = 0;
    for (unsigned i = 0; i < IG->getFactor(); ++i)
      if (Instruction *Member = IG->getMember(i)) {
        VPRecipeBase *MemberR = RecipeBuilder.getRecipe(Member);
        if (!Member->getType()->isVoidTy()) {
          VPValue *OriginalV = MemberR->getVPSingleValue();
          OriginalV->replaceAllUsesWith(VPIG->getVPValue(J));
          J++;
        }
        MemberR->eraseFromParent();
      }
  }
}
 
/// Expand a VPWidenIntOrFpInduction into executable recipes, for the initial
/// value, phi and backedge value. In the following example:
///
///  vector.ph:
///  Successor(s): vector loop
///
///  <x1> vector loop: {
///    vector.body:
///      WIDEN-INDUCTION %i = phi %start, %step, %vf
///      ...
///      EMIT branch-on-count ...
///    No successors
///  }
///
/// WIDEN-INDUCTION will get expanded to:
///
///  vector.ph:
///    ...
///    vp<%induction.start> = ...
///    vp<%induction.increment> = ...
///
///  Successor(s): vector loop
///
///  <x1> vector loop: {
///    vector.body:
///      ir<%i> = WIDEN-PHI vp<%induction.start>, vp<%vec.ind.next>
///      ...
///      vp<%vec.ind.next> = add ir<%i>, vp<%induction.increment>
///      EMIT branch-on-count ...
///    No successors
///  }
static void
expandVPWidenIntOrFpInduction(VPWidenIntOrFpInductionRecipe *WidenIVR,
                              VPTypeAnalysis &TypeInfo) {
  VPlan *Plan = WidenIVR->getParent()->getPlan();
  VPValue *Start = WidenIVR->getStartValue();
  VPValue *Step = WidenIVR->getStepValue();
  VPValue *VF = WidenIVR->getVFValue();
  DebugLoc DL = WidenIVR->getDebugLoc();
 
  // The value from the original loop to which we are mapping the new induction
  // variable.
  Type *Ty = TypeInfo.inferScalarType(WidenIVR);
 
  const InductionDescriptor &ID = WidenIVR->getInductionDescriptor();
  Instruction::BinaryOps AddOp;
  Instruction::BinaryOps MulOp;
  VPIRFlags Flags = *WidenIVR;
  if (ID.getKind() == InductionDescriptor::IK_IntInduction) {
    AddOp = Instruction::Add;
    MulOp = Instruction::Mul;
  } else {
    AddOp = ID.getInductionOpcode();
    MulOp = Instruction::FMul;
  }
 
  // If the phi is truncated, truncate the start and step values.
  VPBuilder Builder(Plan->getVectorPreheader());
  Type *StepTy = TypeInfo.inferScalarType(Step);
  if (Ty->getScalarSizeInBits() < StepTy->getScalarSizeInBits()) {
    assert(StepTy->isIntegerTy() && "Truncation requires an integer type");
    Step = Builder.createScalarCast(Instruction::Trunc, Step, Ty, DL);
    Start = Builder.createScalarCast(Instruction::Trunc, Start, Ty, DL);
    StepTy = Ty;
  }
 
  // Construct the initial value of the vector IV in the vector loop preheader.
  Type *IVIntTy =
      IntegerType::get(Plan->getContext(), StepTy->getScalarSizeInBits());
  VPValue *Init = Builder.createNaryOp(VPInstruction::StepVector, {}, IVIntTy);
  if (StepTy->isFloatingPointTy())
    Init = Builder.createWidenCast(Instruction::UIToFP, Init, StepTy);
 
  VPValue *SplatStart = Builder.createNaryOp(VPInstruction::Broadcast, Start);
  VPValue *SplatStep = Builder.createNaryOp(VPInstruction::Broadcast, Step);
 
  Init = Builder.createNaryOp(MulOp, {Init, SplatStep}, Flags);
  Init = Builder.createNaryOp(AddOp, {SplatStart, Init}, Flags,
                              DebugLoc::getUnknown(), "induction");
 
  // Create the widened phi of the vector IV.
  auto *WidePHI = new VPWidenPHIRecipe(WidenIVR->getPHINode(), Init,
                                       WidenIVR->getDebugLoc(), "vec.ind");
  WidePHI->insertBefore(WidenIVR);
 
  // Create the backedge value for the vector IV.
  VPValue *Inc;
  VPValue *Prev;
  // If unrolled, use the increment and prev value from the operands.
  if (auto *SplatVF = WidenIVR->getSplatVFValue()) {
    Inc = SplatVF;
    Prev = WidenIVR->getLastUnrolledPartOperand();
  } else {
    if (VPRecipeBase *R = VF->getDefiningRecipe())
      Builder.setInsertPoint(R->getParent(), std::next(R->getIterator()));
    // Multiply the vectorization factor by the step using integer or
    // floating-point arithmetic as appropriate.
    if (StepTy->isFloatingPointTy())
      VF = Builder.createScalarCast(Instruction::CastOps::UIToFP, VF, StepTy,
                                    DL);
    else
      VF = Builder.createScalarZExtOrTrunc(VF, StepTy,
                                           TypeInfo.inferScalarType(VF), DL);
 
    Inc = Builder.createNaryOp(MulOp, {Step, VF}, Flags);
    Inc = Builder.createNaryOp(VPInstruction::Broadcast, Inc);
    Prev = WidePHI;
  }
 
  VPBasicBlock *ExitingBB = Plan->getVectorLoopRegion()->getExitingBasicBlock();
  Builder.setInsertPoint(ExitingBB, ExitingBB->getTerminator()->getIterator());
  auto *Next = Builder.createNaryOp(AddOp, {Prev, Inc}, Flags,
                                    WidenIVR->getDebugLoc(), "vec.ind.next");
 
  WidePHI->addOperand(Next);
 
  WidenIVR->replaceAllUsesWith(WidePHI);
}
 
/// Expand a VPWidenPointerInductionRecipe into executable recipes, for the
/// initial value, phi and backedge value. In the following example:
///
///  <x1> vector loop: {
///    vector.body:
///      EMIT ir<%ptr.iv> = WIDEN-POINTER-INDUCTION %start, %step, %vf
///      ...
///      EMIT branch-on-count ...
///  }
///
/// WIDEN-POINTER-INDUCTION will get expanded to:
///
///  <x1> vector loop: {
///    vector.body:
///      EMIT-SCALAR %pointer.phi = phi %start, %ptr.ind
///      EMIT %mul = mul %stepvector, %step
///      EMIT %vector.gep = wide-ptradd %pointer.phi, %mul
///      ...
///      EMIT %ptr.ind = ptradd %pointer.phi, %vf
///      EMIT branch-on-count ...
///  }
static void expandVPWidenPointerInduction(VPWidenPointerInductionRecipe *R,
                                          VPTypeAnalysis &TypeInfo) {
  VPlan *Plan = R->getParent()->getPlan();
  VPValue *Start = R->getStartValue();
  VPValue *Step = R->getStepValue();
  VPValue *VF = R->getVFValue();
 
  assert(R->getInductionDescriptor().getKind() ==
             InductionDescriptor::IK_PtrInduction &&
         "Not a pointer induction according to InductionDescriptor!");
  assert(TypeInfo.inferScalarType(R)->isPointerTy() && "Unexpected type.");
  assert(!R->onlyScalarsGenerated(Plan->hasScalableVF()) &&
         "Recipe should have been replaced");
 
  VPBuilder Builder(R);
  DebugLoc DL = R->getDebugLoc();
 
  // Build a scalar pointer phi.
  VPPhi *ScalarPtrPhi = Builder.createScalarPhi(Start, DL, "pointer.phi");
 
  // Create actual address geps that use the pointer phi as base and a
  // vectorized version of the step value (<step*0, ..., step*N>) as offset.
  Builder.setInsertPoint(R->getParent(), R->getParent()->getFirstNonPhi());
  Type *StepTy = TypeInfo.inferScalarType(Step);
  VPValue *Offset = Builder.createNaryOp(VPInstruction::StepVector, {}, StepTy);
  Offset = Builder.createOverflowingOp(Instruction::Mul, {Offset, Step});
  VPValue *PtrAdd =
      Builder.createWidePtrAdd(ScalarPtrPhi, Offset, DL, "vector.gep");
  R->replaceAllUsesWith(PtrAdd);
 
  // Create the backedge value for the scalar pointer phi.
  VPBasicBlock *ExitingBB = Plan->getVectorLoopRegion()->getExitingBasicBlock();
  Builder.setInsertPoint(ExitingBB, ExitingBB->getTerminator()->getIterator());
  VF = Builder.createScalarZExtOrTrunc(VF, StepTy, TypeInfo.inferScalarType(VF),
                                       DL);
  VPValue *Inc = Builder.createOverflowingOp(Instruction::Mul, {Step, VF});
 
  VPValue *InductionGEP =
      Builder.createPtrAdd(ScalarPtrPhi, Inc, DL, "ptr.ind");
  ScalarPtrPhi->addOperand(InductionGEP);
}
 
void VPlanTransforms::dissolveLoopRegions(VPlan &Plan) {
  // Replace loop regions with explicity CFG.
  SmallVector<VPRegionBlock *> LoopRegions;
  for (VPRegionBlock *R : VPBlockUtils::blocksOnly<VPRegionBlock>(
           vp_depth_first_deep(Plan.getEntry()))) {
    if (!R->isReplicator())
      LoopRegions.push_back(R);
  }
  for (VPRegionBlock *R : LoopRegions)
    R->dissolveToCFGLoop();
}
 
void VPlanTransforms::expandBranchOnTwoConds(VPlan &Plan) {
  SmallVector<VPInstruction *> WorkList;
  // The transform runs after dissolving loop regions, so all VPBasicBlocks
  // terminated with BranchOnTwoConds are reached via a shallow traversal.
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(
           vp_depth_first_shallow(Plan.getEntry()))) {
    if (!VPBB->empty() && match(&VPBB->back(), m_BranchOnTwoConds()))
      WorkList.push_back(cast<VPInstruction>(&VPBB->back()));
  }
 
  // Expand BranchOnTwoConds instructions into explicit CFG with two new
  // single-condition branches:
  // 1. A branch that replaces BranchOnTwoConds, jumps to the first successor if
  //    the first condition is true, and otherwise jumps to a new interim block.
  // 2. A branch that ends the interim block, jumps to the second successor if
  //    the second condition is true, and otherwise jumps to the third
  //    successor.
  for (VPInstruction *Br : WorkList) {
    assert(Br->getNumOperands() == 2 &&
           "BranchOnTwoConds must have exactly 2 conditions");
    DebugLoc DL = Br->getDebugLoc();
    VPBasicBlock *BrOnTwoCondsBB = Br->getParent();
    const auto Successors = to_vector(BrOnTwoCondsBB->getSuccessors());
    assert(Successors.size() == 3 &&
           "BranchOnTwoConds must have exactly 3 successors");
 
    for (VPBlockBase *Succ : Successors)
      VPBlockUtils::disconnectBlocks(BrOnTwoCondsBB, Succ);
 
    VPValue *Cond0 = Br->getOperand(0);
    VPValue *Cond1 = Br->getOperand(1);
    VPBlockBase *Succ0 = Successors[0];
    VPBlockBase *Succ1 = Successors[1];
    VPBlockBase *Succ2 = Successors[2];
    assert(!Succ0->getParent() && !Succ1->getParent() && !Succ2->getParent() &&
           !BrOnTwoCondsBB->getParent() && "regions must already be dissolved");
 
    VPBasicBlock *InterimBB =
        Plan.createVPBasicBlock(BrOnTwoCondsBB->getName() + ".interim");
 
    VPBuilder(BrOnTwoCondsBB)
        .createNaryOp(VPInstruction::BranchOnCond, {Cond0}, DL);
    VPBlockUtils::connectBlocks(BrOnTwoCondsBB, Succ0);
    VPBlockUtils::connectBlocks(BrOnTwoCondsBB, InterimBB);
 
    VPBuilder(InterimBB).createNaryOp(VPInstruction::BranchOnCond, {Cond1}, DL);
    VPBlockUtils::connectBlocks(InterimBB, Succ1);
    VPBlockUtils::connectBlocks(InterimBB, Succ2);
    Br->eraseFromParent();
  }
}
 
void VPlanTransforms::convertToConcreteRecipes(VPlan &Plan) {
  VPTypeAnalysis TypeInfo(Plan);
  SmallVector<VPRecipeBase *> ToRemove;
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(
           vp_depth_first_deep(Plan.getEntry()))) {
    for (VPRecipeBase &R : make_early_inc_range(*VPBB)) {
      if (auto *WidenIVR = dyn_cast<VPWidenIntOrFpInductionRecipe>(&R)) {
        expandVPWidenIntOrFpInduction(WidenIVR, TypeInfo);
        ToRemove.push_back(WidenIVR);
        continue;
      }
 
      if (auto *WidenIVR = dyn_cast<VPWidenPointerInductionRecipe>(&R)) {
        // If the recipe only generates scalars, scalarize it instead of
        // expanding it.
        if (WidenIVR->onlyScalarsGenerated(Plan.hasScalableVF())) {
          VPBuilder Builder(WidenIVR);
          VPValue *PtrAdd =
              scalarizeVPWidenPointerInduction(WidenIVR, Plan, Builder);
          WidenIVR->replaceAllUsesWith(PtrAdd);
          ToRemove.push_back(WidenIVR);
          continue;
        }
        expandVPWidenPointerInduction(WidenIVR, TypeInfo);
        ToRemove.push_back(WidenIVR);
        continue;
      }
 
      // Expand VPBlendRecipe into VPInstruction::Select.
      VPBuilder Builder(&R);
      if (auto *Blend = dyn_cast<VPBlendRecipe>(&R)) {
        VPValue *Select = Blend->getIncomingValue(0);
        for (unsigned I = 1; I != Blend->getNumIncomingValues(); ++I)
          Select = Builder.createSelect(Blend->getMask(I),
                                        Blend->getIncomingValue(I), Select,
                                        R.getDebugLoc(), "predphi", *Blend);
        Blend->replaceAllUsesWith(Select);
        ToRemove.push_back(Blend);
      }
 
      if (auto *VEPR = dyn_cast<VPVectorEndPointerRecipe>(&R)) {
        if (!VEPR->getOffset()) {
          assert(Plan.getConcreteUF() == 1 &&
                 "Expected unroller to have materialized offset for UF != 1");
          VEPR->materializeOffset();
        }
      }
 
      if (auto *Expr = dyn_cast<VPExpressionRecipe>(&R)) {
        Expr->decompose();
        ToRemove.push_back(Expr);
      }
 
      // Expand LastActiveLane into Not + FirstActiveLane + Sub.
      auto *LastActiveL = dyn_cast<VPInstruction>(&R);
      if (LastActiveL &&
          LastActiveL->getOpcode() == VPInstruction::LastActiveLane) {
        // Create Not(Mask) for all operands.
        SmallVector<VPValue *, 2> NotMasks;
        for (VPValue *Op : LastActiveL->operands()) {
          VPValue *NotMask = Builder.createNot(Op, LastActiveL->getDebugLoc());
          NotMasks.push_back(NotMask);
        }
 
        // Create FirstActiveLane on the inverted masks.
        VPValue *FirstInactiveLane = Builder.createNaryOp(
            VPInstruction::FirstActiveLane, NotMasks,
            LastActiveL->getDebugLoc(), "first.inactive.lane");
 
        // Subtract 1 to get the last active lane.
        VPValue *One =
            Plan.getConstantInt(TypeInfo.inferScalarType(FirstInactiveLane), 1);
        VPValue *LastLane =
            Builder.createSub(FirstInactiveLane, One,
                              LastActiveL->getDebugLoc(), "last.active.lane");
 
        LastActiveL->replaceAllUsesWith(LastLane);
        ToRemove.push_back(LastActiveL);
        continue;
      }
 
      // Lower MaskedCond with block mask to LogicalAnd.
      if (match(&R, m_VPInstruction<VPInstruction::MaskedCond>())) {
        auto *VPI = cast<VPInstruction>(&R);
        assert(VPI->isMasked() &&
               "Unmasked MaskedCond should be simplified earlier");
        VPI->replaceAllUsesWith(Builder.createNaryOp(
            VPInstruction::LogicalAnd, {VPI->getMask(), VPI->getOperand(0)}));
        ToRemove.push_back(VPI);
        continue;
      }
 
      // Lower CanonicalIVIncrementForPart to plain Add.
      if (match(
              &R,
              m_VPInstruction<VPInstruction::CanonicalIVIncrementForPart>())) {
        auto *VPI = cast<VPInstruction>(&R);
        VPValue *Add = Builder.createOverflowingOp(
            Instruction::Add, VPI->operands(), VPI->getNoWrapFlags(),
            VPI->getDebugLoc());
        VPI->replaceAllUsesWith(Add);
        ToRemove.push_back(VPI);
        continue;
      }
 
      // Lower BranchOnCount to ICmp + BranchOnCond.
      VPValue *IV, *TC;
      if (match(&R, m_BranchOnCount(m_VPValue(IV), m_VPValue(TC)))) {
        auto *BranchOnCountInst = cast<VPInstruction>(&R);
        DebugLoc DL = BranchOnCountInst->getDebugLoc();
        VPValue *Cond = Builder.createICmp(CmpInst::ICMP_EQ, IV, TC, DL);
        Builder.createNaryOp(VPInstruction::BranchOnCond, Cond, DL);
        ToRemove.push_back(BranchOnCountInst);
        continue;
      }
 
      VPValue *VectorStep;
      VPValue *ScalarStep;
      if (!match(&R, m_VPInstruction<VPInstruction::WideIVStep>(
                         m_VPValue(VectorStep), m_VPValue(ScalarStep))))
        continue;
 
      // Expand WideIVStep.
      auto *VPI = cast<VPInstruction>(&R);
      Type *IVTy = TypeInfo.inferScalarType(VPI);
      if (TypeInfo.inferScalarType(VectorStep) != IVTy) {
        Instruction::CastOps CastOp = IVTy->isFloatingPointTy()
                                          ? Instruction::UIToFP
                                          : Instruction::Trunc;
        VectorStep = Builder.createWidenCast(CastOp, VectorStep, IVTy);
      }
 
      assert(!match(ScalarStep, m_One()) && "Expected non-unit scalar-step");
      if (TypeInfo.inferScalarType(ScalarStep) != IVTy) {
        ScalarStep =
            Builder.createWidenCast(Instruction::Trunc, ScalarStep, IVTy);
      }
 
      VPIRFlags Flags;
      unsigned MulOpc;
      if (IVTy->isFloatingPointTy()) {
        MulOpc = Instruction::FMul;
        Flags = VPI->getFastMathFlags();
      } else {
        MulOpc = Instruction::Mul;
        Flags = VPIRFlags::getDefaultFlags(MulOpc);
      }
 
      VPInstruction *Mul = Builder.createNaryOp(
          MulOpc, {VectorStep, ScalarStep}, Flags, R.getDebugLoc());
      VectorStep = Mul;
      VPI->replaceAllUsesWith(VectorStep);
      ToRemove.push_back(VPI);
    }
  }
 
  for (VPRecipeBase *R : ToRemove)
    R->eraseFromParent();
}
 
void VPlanTransforms::handleUncountableEarlyExits(VPlan &Plan,
                                                  VPBasicBlock *HeaderVPBB,
                                                  VPBasicBlock *LatchVPBB,
                                                  VPBasicBlock *MiddleVPBB,
                                                  UncountableExitStyle Style) {
  struct EarlyExitInfo {
    VPBasicBlock *EarlyExitingVPBB;
    VPIRBasicBlock *EarlyExitVPBB;
    VPValue *CondToExit;
  };
 
  VPDominatorTree VPDT(Plan);
  VPBuilder Builder(LatchVPBB->getTerminator());
  SmallVector<EarlyExitInfo> Exits;
  for (VPIRBasicBlock *ExitBlock : Plan.getExitBlocks()) {
    for (VPBlockBase *Pred : to_vector(ExitBlock->getPredecessors())) {
      if (Pred == MiddleVPBB)
        continue;
      // Collect condition for this early exit.
      auto *EarlyExitingVPBB = cast<VPBasicBlock>(Pred);
      VPBlockBase *TrueSucc = EarlyExitingVPBB->getSuccessors()[0];
      VPValue *CondOfEarlyExitingVPBB;
      [[maybe_unused]] bool Matched =
          match(EarlyExitingVPBB->getTerminator(),
                m_BranchOnCond(m_VPValue(CondOfEarlyExitingVPBB)));
      assert(Matched && "Terminator must be BranchOnCond");
 
      // Insert the MaskedCond in the EarlyExitingVPBB so the predicator adds
      // the correct block mask.
      VPBuilder EarlyExitingBuilder(EarlyExitingVPBB->getTerminator());
      auto *CondToEarlyExit = EarlyExitingBuilder.createNaryOp(
          VPInstruction::MaskedCond,
          TrueSucc == ExitBlock
              ? CondOfEarlyExitingVPBB
              : EarlyExitingBuilder.createNot(CondOfEarlyExitingVPBB));
      assert((isa<VPIRValue>(CondOfEarlyExitingVPBB) ||
              !VPDT.properlyDominates(EarlyExitingVPBB, LatchVPBB) ||
              VPDT.properlyDominates(
                  CondOfEarlyExitingVPBB->getDefiningRecipe()->getParent(),
                  LatchVPBB)) &&
             "exit condition must dominate the latch");
      Exits.push_back({
          EarlyExitingVPBB,
          ExitBlock,
          CondToEarlyExit,
      });
    }
  }
 
  assert(!Exits.empty() && "must have at least one early exit");
  // Sort exits by RPO order to get correct program order. RPO gives a
  // topological ordering of the CFG, ensuring upstream exits are checked
  // before downstream exits in the dispatch chain.
  ReversePostOrderTraversal<VPBlockShallowTraversalWrapper<VPBlockBase *>> RPOT(
      HeaderVPBB);
  DenseMap<VPBlockBase *, unsigned> RPOIdx;
  for (const auto &[Num, VPB] : enumerate(RPOT))
    RPOIdx[VPB] = Num;
  llvm::sort(Exits, [&RPOIdx](const EarlyExitInfo &A, const EarlyExitInfo &B) {
    return RPOIdx[A.EarlyExitingVPBB] < RPOIdx[B.EarlyExitingVPBB];
  });
#ifndef NDEBUG
  // After RPO sorting, verify that for any pair where one exit dominates
  // another, the dominating exit comes first. This is guaranteed by RPO
  // (topological order) and is required for the dispatch chain correctness.
  for (unsigned I = 0; I + 1 < Exits.size(); ++I)
    for (unsigned J = I + 1; J < Exits.size(); ++J)
      assert(!VPDT.properlyDominates(Exits[J].EarlyExitingVPBB,
                                     Exits[I].EarlyExitingVPBB) &&
             "RPO sort must place dominating exits before dominated ones");
#endif
 
  // Build the AnyOf condition for the latch terminator using logical OR
  // to avoid poison propagation from later exit conditions when an earlier
  // exit is taken.
  VPValue *Combined = Exits[0].CondToExit;
  for (const EarlyExitInfo &Info : drop_begin(Exits))
    Combined = Builder.createLogicalOr(Combined, Info.CondToExit);
 
  VPValue *IsAnyExitTaken =
      Builder.createNaryOp(VPInstruction::AnyOf, {Combined});
 
  assert(Style == UncountableExitStyle::ReadOnly &&
         "Early exit store masking not implemented");
 
  // Create the vector.early.exit blocks.
  SmallVector<VPBasicBlock *> VectorEarlyExitVPBBs(Exits.size());
  for (unsigned Idx = 0; Idx != Exits.size(); ++Idx) {
    Twine BlockSuffix = Exits.size() == 1 ? "" : Twine(".") + Twine(Idx);
    VPBasicBlock *VectorEarlyExitVPBB =
        Plan.createVPBasicBlock("vector.early.exit" + BlockSuffix);
    VectorEarlyExitVPBBs[Idx] = VectorEarlyExitVPBB;
  }
 
  // Create the dispatch block (or reuse the single exit block if only one
  // exit). The dispatch block computes the first active lane of the combined
  // condition and, for multiple exits, chains through conditions to determine
  // which exit to take.
  VPBasicBlock *DispatchVPBB =
      Exits.size() == 1 ? VectorEarlyExitVPBBs[0]
                        : Plan.createVPBasicBlock("vector.early.exit.check");
  VPBuilder DispatchBuilder(DispatchVPBB, DispatchVPBB->begin());
  VPValue *FirstActiveLane =
      DispatchBuilder.createNaryOp(VPInstruction::FirstActiveLane, {Combined},
                                   DebugLoc::getUnknown(), "first.active.lane");
 
  // For each early exit, disconnect the original exiting block
  // (early.exiting.I) from the exit block (ir-bb<exit.I>) and route through a
  // new vector.early.exit block. Update ir-bb<exit.I>'s phis to extract their
  // values at the first active lane:
  //
  // Input:
  //  early.exiting.I:
  //     ...
  //    EMIT branch-on-cond vp<%cond.I>
  //  Successor(s): in.loop.succ, ir-bb<exit.I>
  //
  //  ir-bb<exit.I>:
  //    IR %phi = phi [ vp<%incoming.I>, early.exiting.I ], ...
  //
  // Output:
  //  early.exiting.I:
  //    ...
  //  Successor(s): in.loop.succ
  //
  //  vector.early.exit.I:
  //    EMIT vp<%exit.val> = extract-lane vp<%first.lane>, vp<%incoming.I>
  //  Successor(s): ir-bb<exit.I>
  //
  //  ir-bb<exit.I>:
  //    IR %phi = phi ... (extra operand: vp<%exit.val> from
  //                                      vector.early.exit.I)
  //
  for (auto [Exit, VectorEarlyExitVPBB] :
       zip_equal(Exits, VectorEarlyExitVPBBs)) {
    auto &[EarlyExitingVPBB, EarlyExitVPBB, _] = Exit;
    // Adjust the phi nodes in EarlyExitVPBB.
    //   1. remove incoming values from EarlyExitingVPBB,
    //   2. extract the incoming value at FirstActiveLane
    //   3. add back the extracts as last operands for the phis
    // Then adjust the CFG, removing the edge between EarlyExitingVPBB and
    // EarlyExitVPBB and adding a new edge between VectorEarlyExitVPBB and
    // EarlyExitVPBB. The extracts at FirstActiveLane are now the incoming
    // values from VectorEarlyExitVPBB.
    for (VPRecipeBase &R : EarlyExitVPBB->phis()) {
      auto *ExitIRI = cast<VPIRPhi>(&R);
      VPValue *IncomingVal =
          ExitIRI->getIncomingValueForBlock(EarlyExitingVPBB);
      VPValue *NewIncoming = IncomingVal;
      if (!isa<VPIRValue>(IncomingVal)) {
        VPBuilder EarlyExitBuilder(VectorEarlyExitVPBB);
        NewIncoming = EarlyExitBuilder.createNaryOp(
            VPInstruction::ExtractLane, {FirstActiveLane, IncomingVal},
            DebugLoc::getUnknown(), "early.exit.value");
      }
      ExitIRI->removeIncomingValueFor(EarlyExitingVPBB);
      ExitIRI->addOperand(NewIncoming);
    }
 
    EarlyExitingVPBB->getTerminator()->eraseFromParent();
    VPBlockUtils::disconnectBlocks(EarlyExitingVPBB, EarlyExitVPBB);
    VPBlockUtils::connectBlocks(VectorEarlyExitVPBB, EarlyExitVPBB);
  }
 
  // Chain through exits: for each exit, check if its condition is true at
  // the first active lane. If so, take that exit; otherwise, try the next.
  // The last exit needs no check since it must be taken if all others fail.
  //
  // For 3 exits (cond.0, cond.1, cond.2), this creates:
  //
  // latch:
  //   ...
  //   EMIT vp<%combined> = logical-or vp<%cond.0>, vp<%cond.1>, vp<%cond.2>
  //   ...
  //
  // vector.early.exit.check:
  //   EMIT vp<%first.lane> = first-active-lane vp<%combined>
  //   EMIT vp<%at.cond.0> = extract-lane vp<%first.lane>, vp<%cond.0>
  //   EMIT branch-on-cond vp<%at.cond.0>
  // Successor(s): vector.early.exit.0, vector.early.exit.check.0
  //
  // vector.early.exit.check.0:
  //   EMIT vp<%at.cond.1> = extract-lane vp<%first.lane>, vp<%cond.1>
  //   EMIT branch-on-cond vp<%at.cond.1>
  // Successor(s): vector.early.exit.1, vector.early.exit.2
  VPBasicBlock *CurrentBB = DispatchVPBB;
  for (auto [I, Exit] : enumerate(ArrayRef(Exits).drop_back())) {
    VPValue *LaneVal = DispatchBuilder.createNaryOp(
        VPInstruction::ExtractLane, {FirstActiveLane, Exit.CondToExit},
        DebugLoc::getUnknown(), "exit.cond.at.lane");
 
    // For the last dispatch, branch directly to the last exit on false;
    // otherwise, create a new check block.
    bool IsLastDispatch = (I + 2 == Exits.size());
    VPBasicBlock *FalseBB =
        IsLastDispatch ? VectorEarlyExitVPBBs.back()
                       : Plan.createVPBasicBlock(
                             Twine("vector.early.exit.check.") + Twine(I));
 
    DispatchBuilder.createNaryOp(VPInstruction::BranchOnCond, {LaneVal});
    CurrentBB->setSuccessors({VectorEarlyExitVPBBs[I], FalseBB});
    VectorEarlyExitVPBBs[I]->setPredecessors({CurrentBB});
    FalseBB->setPredecessors({CurrentBB});
 
    CurrentBB = FalseBB;
    DispatchBuilder.setInsertPoint(CurrentBB);
  }
 
  // Replace the latch terminator with the new branching logic.
  auto *LatchExitingBranch = cast<VPInstruction>(LatchVPBB->getTerminator());
  assert(LatchExitingBranch->getOpcode() == VPInstruction::BranchOnCount &&
         "Unexpected terminator");
  auto *IsLatchExitTaken =
      Builder.createICmp(CmpInst::ICMP_EQ, LatchExitingBranch->getOperand(0),
                         LatchExitingBranch->getOperand(1));
 
  DebugLoc LatchDL = LatchExitingBranch->getDebugLoc();
  LatchExitingBranch->eraseFromParent();
  Builder.setInsertPoint(LatchVPBB);
  Builder.createNaryOp(VPInstruction::BranchOnTwoConds,
                       {IsAnyExitTaken, IsLatchExitTaken}, LatchDL);
  LatchVPBB->clearSuccessors();
  LatchVPBB->setSuccessors({DispatchVPBB, MiddleVPBB, HeaderVPBB});
  DispatchVPBB->setPredecessors({LatchVPBB});
}
 
/// This function tries convert extended in-loop reductions to
/// VPExpressionRecipe and clamp the \p Range if it is beneficial and
/// valid. The created recipe must be decomposed to its constituent
/// recipes before execution.
static VPExpressionRecipe *
tryToMatchAndCreateExtendedReduction(VPReductionRecipe *Red, VPCostContext &Ctx,
                                     VFRange &Range) {
  Type *RedTy = Ctx.Types.inferScalarType(Red);
  VPValue *VecOp = Red->getVecOp();
 
  // For partial reductions, the decision has already been made at the point of
  // transforming reductions -> partial reductions for a given plan, based on
  // the cost-model.
  if (Red->isPartialReduction())
    return new VPExpressionRecipe(cast<VPWidenCastRecipe>(VecOp), Red);
 
  // Clamp the range if using extended-reduction is profitable.
  auto IsExtendedRedValidAndClampRange =
      [&](unsigned Opcode, Instruction::CastOps ExtOpc, Type *SrcTy) -> bool {
    return LoopVectorizationPlanner::getDecisionAndClampRange(
        [&](ElementCount VF) {
          auto *SrcVecTy = cast<VectorType>(toVectorTy(SrcTy, VF));
          TTI::TargetCostKind CostKind = TTI::TCK_RecipThroughput;
 
          InstructionCost ExtRedCost = InstructionCost::getInvalid();
          InstructionCost ExtCost =
              cast<VPWidenCastRecipe>(VecOp)->computeCost(VF, Ctx);
          InstructionCost RedCost = Red->computeCost(VF, Ctx);
 
          // TTI::getExtendedReductionCost for in-loop reductions
          // only supports integer types.
          if (RedTy->isFloatingPointTy())
            return false;
          ExtRedCost = Ctx.TTI.getExtendedReductionCost(
              Opcode, ExtOpc == Instruction::CastOps::ZExt, RedTy, SrcVecTy,
              Red->getFastMathFlags(), CostKind);
          return ExtRedCost.isValid() && ExtRedCost < ExtCost + RedCost;
        },
        Range);
  };
 
  VPValue *A;
  // Match reduce(ext)).
  if (match(VecOp, m_Isa<VPWidenCastRecipe>(m_CombineOr(
                       m_ZExtOrSExt(m_VPValue(A)), m_FPExt(m_VPValue(A))))) &&
      IsExtendedRedValidAndClampRange(
          RecurrenceDescriptor::getOpcode(Red->getRecurrenceKind()),
          cast<VPWidenCastRecipe>(VecOp)->getOpcode(),
          Ctx.Types.inferScalarType(A)))
    return new VPExpressionRecipe(cast<VPWidenCastRecipe>(VecOp), Red);
 
  return nullptr;
}
 
/// This function tries convert extended in-loop reductions to
/// VPExpressionRecipe and clamp the \p Range if it is beneficial
/// and valid. The created VPExpressionRecipe must be decomposed to its
/// constituent recipes before execution. Patterns of the
/// VPExpressionRecipe:
///   reduce.add(mul(...)),
///   reduce.add(mul(ext(A), ext(B))),
///   reduce.add(ext(mul(ext(A), ext(B)))).
///   reduce.fadd(fmul(ext(A), ext(B)))
static VPExpressionRecipe *
tryToMatchAndCreateMulAccumulateReduction(VPReductionRecipe *Red,
                                          VPCostContext &Ctx, VFRange &Range) {
  unsigned Opcode = RecurrenceDescriptor::getOpcode(Red->getRecurrenceKind());
  if (Opcode != Instruction::Add && Opcode != Instruction::Sub &&
      Opcode != Instruction::FAdd)
    return nullptr;
 
  Type *RedTy = Ctx.Types.inferScalarType(Red);
 
  // Clamp the range if using multiply-accumulate-reduction is profitable.
  auto IsMulAccValidAndClampRange =
      [&](VPWidenRecipe *Mul, VPWidenCastRecipe *Ext0, VPWidenCastRecipe *Ext1,
          VPWidenCastRecipe *OuterExt) -> bool {
    return LoopVectorizationPlanner::getDecisionAndClampRange(
        [&](ElementCount VF) {
          // For partial reductions, the decision has already been made at the
          // point of transforming reductions -> partial reductions for a given
          // plan, based on the cost-model.
          if (Red->isPartialReduction())
            return true;
 
          TTI::TargetCostKind CostKind = TTI::TCK_RecipThroughput;
          Type *SrcTy =
              Ext0 ? Ctx.Types.inferScalarType(Ext0->getOperand(0)) : RedTy;
          InstructionCost MulAccCost;
 
          // Only partial reductions support mixed or floating-point extends at
          // the moment.
          if (Ext0 && Ext1 &&
              (Ext0->getOpcode() != Ext1->getOpcode() ||
               Ext0->getOpcode() == Instruction::CastOps::FPExt))
            return false;
 
          bool IsZExt =
              !Ext0 || Ext0->getOpcode() == Instruction::CastOps::ZExt;
          auto *SrcVecTy = cast<VectorType>(toVectorTy(SrcTy, VF));
          MulAccCost = Ctx.TTI.getMulAccReductionCost(IsZExt, Opcode, RedTy,
                                                      SrcVecTy, CostKind);
 
          InstructionCost MulCost = Mul->computeCost(VF, Ctx);
          InstructionCost RedCost = Red->computeCost(VF, Ctx);
          InstructionCost ExtCost = 0;
          if (Ext0)
            ExtCost += Ext0->computeCost(VF, Ctx);
          if (Ext1)
            ExtCost += Ext1->computeCost(VF, Ctx);
          if (OuterExt)
            ExtCost += OuterExt->computeCost(VF, Ctx);
 
          return MulAccCost.isValid() &&
                 MulAccCost < ExtCost + MulCost + RedCost;
        },
        Range);
  };
 
  VPValue *VecOp = Red->getVecOp();
  VPRecipeBase *Sub = nullptr;
  VPValue *A, *B;
  VPValue *Tmp = nullptr;
 
  // Try to match reduce.fadd(fmul(fpext(...), fpext(...))).
  if (match(VecOp, m_FMul(m_FPExt(m_VPValue()), m_FPExt(m_VPValue())))) {
    assert(Opcode == Instruction::FAdd &&
           "MulAccumulateReduction from an FMul must accumulate into an FAdd "
           "instruction");
    auto *FMul = dyn_cast<VPWidenRecipe>(VecOp);
    if (!FMul)
      return nullptr;
 
    auto *RecipeA = dyn_cast<VPWidenCastRecipe>(FMul->getOperand(0));
    auto *RecipeB = dyn_cast<VPWidenCastRecipe>(FMul->getOperand(1));
 
    if (RecipeA && RecipeB &&
        IsMulAccValidAndClampRange(FMul, RecipeA, RecipeB, nullptr)) {
      return new VPExpressionRecipe(RecipeA, RecipeB, FMul, Red);
    }
  }
  if (RedTy->isFloatingPointTy())
    return nullptr;
 
  // Sub reductions could have a sub between the add reduction and vec op.
  if (match(VecOp, m_Sub(m_ZeroInt(), m_VPValue(Tmp)))) {
    Sub = VecOp->getDefiningRecipe();
    VecOp = Tmp;
  }
 
  // If ValB is a constant and can be safely extended, truncate it to the same
  // type as ExtA's operand, then extend it to the same type as ExtA. This
  // creates two uniform extends that can more easily be matched by the rest of
  // the bundling code. The ExtB reference, ValB and operand 1 of Mul are all
  // replaced with the new extend of the constant.
  auto ExtendAndReplaceConstantOp = [&Ctx, &Red](VPWidenCastRecipe *ExtA,
                                                 VPWidenCastRecipe *&ExtB,
                                                 VPValue *&ValB,
                                                 VPWidenRecipe *Mul) {
    if (!ExtA || ExtB || !isa<VPIRValue>(ValB) || Red->isPartialReduction())
      return;
    Type *NarrowTy = Ctx.Types.inferScalarType(ExtA->getOperand(0));
    Instruction::CastOps ExtOpc = ExtA->getOpcode();
    const APInt *Const;
    if (!match(ValB, m_APInt(Const)) ||
        !llvm::canConstantBeExtended(
            Const, NarrowTy, TTI::getPartialReductionExtendKind(ExtOpc)))
      return;
    // The truncate ensures that the type of each extended operand is the
    // same, and it's been proven that the constant can be extended from
    // NarrowTy safely. Necessary since ExtA's extended operand would be
    // e.g. an i8, while the const will likely be an i32. This will be
    // elided by later optimisations.
    VPBuilder Builder(Mul);
    auto *Trunc =
        Builder.createWidenCast(Instruction::CastOps::Trunc, ValB, NarrowTy);
    Type *WideTy = Ctx.Types.inferScalarType(ExtA);
    ValB = ExtB = Builder.createWidenCast(ExtOpc, Trunc, WideTy);
    Mul->setOperand(1, ExtB);
  };
 
  // Try to match reduce.add(mul(...)).
  if (match(VecOp, m_Mul(m_VPValue(A), m_VPValue(B)))) {
    auto *RecipeA = dyn_cast_if_present<VPWidenCastRecipe>(A);
    auto *RecipeB = dyn_cast_if_present<VPWidenCastRecipe>(B);
    auto *Mul = cast<VPWidenRecipe>(VecOp);
 
    // Convert reduce.add(mul(ext, const)) to reduce.add(mul(ext, ext(const)))
    ExtendAndReplaceConstantOp(RecipeA, RecipeB, B, Mul);
 
    // Match reduce.add/sub(mul(ext, ext)).
    if (RecipeA && RecipeB && match(RecipeA, m_ZExtOrSExt(m_VPValue())) &&
        match(RecipeB, m_ZExtOrSExt(m_VPValue())) &&
        IsMulAccValidAndClampRange(Mul, RecipeA, RecipeB, nullptr)) {
      if (Sub)
        return new VPExpressionRecipe(RecipeA, RecipeB, Mul,
                                      cast<VPWidenRecipe>(Sub), Red);
      return new VPExpressionRecipe(RecipeA, RecipeB, Mul, Red);
    }
    // TODO: Add an expression type for this variant with a negated mul
    if (!Sub && IsMulAccValidAndClampRange(Mul, nullptr, nullptr, nullptr))
      return new VPExpressionRecipe(Mul, Red);
  }
  // TODO: Add an expression type for negated versions of other expression
  // variants.
  if (Sub)
    return nullptr;
 
  // Match reduce.add(ext(mul(A, B))).
  if (!Red->isPartialReduction() &&
      match(VecOp, m_ZExtOrSExt(m_Mul(m_VPValue(A), m_VPValue(B))))) {
    auto *Ext = cast<VPWidenCastRecipe>(VecOp);
    auto *Mul = cast<VPWidenRecipe>(Ext->getOperand(0));
    auto *Ext0 = dyn_cast_if_present<VPWidenCastRecipe>(A);
    auto *Ext1 = dyn_cast_if_present<VPWidenCastRecipe>(B);
 
    // reduce.add(ext(mul(ext, const)))
    // -> reduce.add(ext(mul(ext, ext(const))))
    ExtendAndReplaceConstantOp(Ext0, Ext1, B, Mul);
 
    // reduce.add(ext(mul(ext(A), ext(B))))
    // -> reduce.add(mul(wider_ext(A), wider_ext(B)))
    // The inner extends must either have the same opcode as the outer extend or
    // be the same, in which case the multiply can never result in a negative
    // value and the outer extend can be folded away by doing wider
    // extends for the operands of the mul.
    if (Ext0 && Ext1 &&
        (Ext->getOpcode() == Ext0->getOpcode() || Ext0 == Ext1) &&
        Ext0->getOpcode() == Ext1->getOpcode() &&
        IsMulAccValidAndClampRange(Mul, Ext0, Ext1, Ext) && Mul->hasOneUse()) {
      auto *NewExt0 = new VPWidenCastRecipe(
          Ext0->getOpcode(), Ext0->getOperand(0), Ext->getResultType(), nullptr,
          *Ext0, *Ext0, Ext0->getDebugLoc());
      NewExt0->insertBefore(Ext0);
 
      VPWidenCastRecipe *NewExt1 = NewExt0;
      if (Ext0 != Ext1) {
        NewExt1 = new VPWidenCastRecipe(Ext1->getOpcode(), Ext1->getOperand(0),
                                        Ext->getResultType(), nullptr, *Ext1,
                                        *Ext1, Ext1->getDebugLoc());
        NewExt1->insertBefore(Ext1);
      }
      Mul->setOperand(0, NewExt0);
      Mul->setOperand(1, NewExt1);
      Red->setOperand(1, Mul);
      return new VPExpressionRecipe(NewExt0, NewExt1, Mul, Red);
    }
  }
  return nullptr;
}
 
/// This function tries to create abstract recipes from the reduction recipe for
/// following optimizations and cost estimation.
static void tryToCreateAbstractReductionRecipe(VPReductionRecipe *Red,
                                               VPCostContext &Ctx,
                                               VFRange &Range) {
  VPExpressionRecipe *AbstractR = nullptr;
  auto IP = std::next(Red->getIterator());
  auto *VPBB = Red->getParent();
  if (auto *MulAcc = tryToMatchAndCreateMulAccumulateReduction(Red, Ctx, Range))
    AbstractR = MulAcc;
  else if (auto *ExtRed = tryToMatchAndCreateExtendedReduction(Red, Ctx, Range))
    AbstractR = ExtRed;
  // Cannot create abstract inloop reduction recipes.
  if (!AbstractR)
    return;
 
  AbstractR->insertBefore(*VPBB, IP);
  Red->replaceAllUsesWith(AbstractR);
}
 
void VPlanTransforms::convertToAbstractRecipes(VPlan &Plan, VPCostContext &Ctx,
                                               VFRange &Range) {
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(
           vp_depth_first_deep(Plan.getVectorLoopRegion()))) {
    for (VPRecipeBase &R : make_early_inc_range(*VPBB)) {
      if (auto *Red = dyn_cast<VPReductionRecipe>(&R))
        tryToCreateAbstractReductionRecipe(Red, Ctx, Range);
    }
  }
}
 
void VPlanTransforms::materializeBroadcasts(VPlan &Plan) {
  if (Plan.hasScalarVFOnly())
    return;
 
#ifndef NDEBUG
  VPDominatorTree VPDT(Plan);
#endif
 
  SmallVector<VPValue *> VPValues;
  if (VPValue *BTC = Plan.getBackedgeTakenCount())
    VPValues.push_back(BTC);
  append_range(VPValues, Plan.getLiveIns());
  for (VPRecipeBase &R : *Plan.getEntry())
    append_range(VPValues, R.definedValues());
 
  auto *VectorPreheader = Plan.getVectorPreheader();
  for (VPValue *VPV : VPValues) {
    if (vputils::onlyScalarValuesUsed(VPV) ||
        (isa<VPIRValue>(VPV) && isa<Constant>(VPV->getLiveInIRValue())))
      continue;
 
    // Add explicit broadcast at the insert point that dominates all users.
    VPBasicBlock *HoistBlock = VectorPreheader;
    VPBasicBlock::iterator HoistPoint = VectorPreheader->end();
    for (VPUser *User : VPV->users()) {
      if (User->usesScalars(VPV))
        continue;
      if (cast<VPRecipeBase>(User)->getParent() == VectorPreheader)
        HoistPoint = HoistBlock->begin();
      else
        assert(VPDT.dominates(VectorPreheader,
                              cast<VPRecipeBase>(User)->getParent()) &&
               "All users must be in the vector preheader or dominated by it");
    }
 
    VPBuilder Builder(cast<VPBasicBlock>(HoistBlock), HoistPoint);
    auto *Broadcast = Builder.createNaryOp(VPInstruction::Broadcast, {VPV});
    VPV->replaceUsesWithIf(Broadcast,
                           [VPV, Broadcast](VPUser &U, unsigned Idx) {
                             return Broadcast != &U && !U.usesScalars(VPV);
                           });
  }
}
 
void VPlanTransforms::hoistInvariantLoads(VPlan &Plan) {
  VPRegionBlock *LoopRegion = Plan.getVectorLoopRegion();
 
  // Collect candidate loads with invariant addresses and noalias scopes
  // metadata and memory-writing recipes with noalias metadata.
  SmallVector<std::pair<VPRecipeBase *, MemoryLocation>> CandidateLoads;
  SmallVector<MemoryLocation> Stores;
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(
           vp_depth_first_shallow(LoopRegion->getEntry()))) {
    for (VPRecipeBase &R : *VPBB) {
      // Only handle single-scalar replicated loads with invariant addresses.
      if (auto *RepR = dyn_cast<VPReplicateRecipe>(&R)) {
        if (RepR->isPredicated() || !RepR->isSingleScalar() ||
            RepR->getOpcode() != Instruction::Load)
          continue;
 
        VPValue *Addr = RepR->getOperand(0);
        if (Addr->isDefinedOutsideLoopRegions()) {
          MemoryLocation Loc = *vputils::getMemoryLocation(*RepR);
          if (!Loc.AATags.Scope)
            continue;
          CandidateLoads.push_back({RepR, Loc});
        }
      }
      if (R.mayWriteToMemory()) {
        auto Loc = vputils::getMemoryLocation(R);
        if (!Loc || !Loc->AATags.Scope || !Loc->AATags.NoAlias)
          return;
        Stores.push_back(*Loc);
      }
    }
  }
 
  VPBasicBlock *Preheader = Plan.getVectorPreheader();
  for (auto &[LoadRecipe, LoadLoc] : CandidateLoads) {
    // Hoist the load to the preheader if it doesn't alias with any stores
    // according to the noalias metadata. Other loads should have been hoisted
    // by other passes
    const AAMDNodes &LoadAA = LoadLoc.AATags;
    if (all_of(Stores, [&](const MemoryLocation &StoreLoc) {
          return !ScopedNoAliasAAResult::mayAliasInScopes(
              LoadAA.Scope, StoreLoc.AATags.NoAlias);
        })) {
      LoadRecipe->moveBefore(*Preheader, Preheader->getFirstNonPhi());
    }
  }
}
 
// Collect common metadata from a group of replicate recipes by intersecting
// metadata from all recipes in the group.
static VPIRMetadata getCommonMetadata(ArrayRef<VPReplicateRecipe *> Recipes) {
  VPIRMetadata CommonMetadata = *Recipes.front();
  for (VPReplicateRecipe *Recipe : drop_begin(Recipes))
    CommonMetadata.intersect(*Recipe);
  return CommonMetadata;
}
 
template <unsigned Opcode>
static SmallVector<SmallVector<VPReplicateRecipe *, 4>>
collectComplementaryPredicatedMemOps(VPlan &Plan,
                                     PredicatedScalarEvolution &PSE,
                                     const Loop *L) {
  static_assert(Opcode == Instruction::Load || Opcode == Instruction::Store,
                "Only Load and Store opcodes supported");
  constexpr bool IsLoad = (Opcode == Instruction::Load);
  VPTypeAnalysis TypeInfo(Plan);
 
  // For each address, collect operations with the same or complementary masks.
  SmallVector<SmallVector<VPReplicateRecipe *, 4>> AllGroups;
  auto GetLoadStoreValueType = [&](VPReplicateRecipe *Recipe) {
    return TypeInfo.inferScalarType(IsLoad ? Recipe : Recipe->getOperand(0));
  };
  auto Groups = collectGroupedReplicateMemOps<Opcode>(
      Plan, PSE, L,
      [](VPReplicateRecipe *RepR) { return RepR->isPredicated(); });
  for (auto Recipes : Groups) {
    if (Recipes.size() < 2)
      continue;
 
    // Collect groups with the same or complementary masks.
    for (VPReplicateRecipe *&RecipeI : Recipes) {
      if (!RecipeI)
        continue;
 
      VPValue *MaskI = RecipeI->getMask();
      Type *TypeI = GetLoadStoreValueType(RecipeI);
      SmallVector<VPReplicateRecipe *, 4> Group;
      Group.push_back(RecipeI);
      RecipeI = nullptr;
 
      // Find all operations with the same or complementary masks.
      bool HasComplementaryMask = false;
      for (VPReplicateRecipe *&RecipeJ : Recipes) {
        if (!RecipeJ)
          continue;
 
        VPValue *MaskJ = RecipeJ->getMask();
        Type *TypeJ = GetLoadStoreValueType(RecipeJ);
        if (TypeI == TypeJ) {
          // Check if any operation in the group has a complementary mask with
          // another, that is M1 == NOT(M2) or M2 == NOT(M1).
          HasComplementaryMask |= match(MaskI, m_Not(m_Specific(MaskJ))) ||
                                  match(MaskJ, m_Not(m_Specific(MaskI)));
          Group.push_back(RecipeJ);
          RecipeJ = nullptr;
        }
      }
 
      if (HasComplementaryMask) {
        assert(Group.size() >= 2 && "must have at least 2 entries");
        AllGroups.push_back(std::move(Group));
      }
    }
  }
 
  return AllGroups;
}
 
// Find the recipe with minimum alignment in the group.
template <typename InstType>
static VPReplicateRecipe *
findRecipeWithMinAlign(ArrayRef<VPReplicateRecipe *> Group) {
  return *min_element(Group, [](VPReplicateRecipe *A, VPReplicateRecipe *B) {
    return cast<InstType>(A->getUnderlyingInstr())->getAlign() <
           cast<InstType>(B->getUnderlyingInstr())->getAlign();
  });
}
 
void VPlanTransforms::hoistPredicatedLoads(VPlan &Plan,
                                           PredicatedScalarEvolution &PSE,
                                           const Loop *L) {
  auto Groups =
      collectComplementaryPredicatedMemOps<Instruction::Load>(Plan, PSE, L);
  if (Groups.empty())
    return;
 
  // Process each group of loads.
  for (auto &Group : Groups) {
    // Try to use the earliest (most dominating) load to replace all others.
    VPReplicateRecipe *EarliestLoad = Group[0];
    VPBasicBlock *FirstBB = EarliestLoad->getParent();
    VPBasicBlock *LastBB = Group.back()->getParent();
 
    // Check that the load doesn't alias with stores between first and last.
    auto LoadLoc = vputils::getMemoryLocation(*EarliestLoad);
    if (!LoadLoc || !canHoistOrSinkWithNoAliasCheck(*LoadLoc, FirstBB, LastBB))
      continue;
 
    // Collect common metadata from all loads in the group.
    VPIRMetadata CommonMetadata = getCommonMetadata(Group);
 
    // Find the load with minimum alignment to use.
    auto *LoadWithMinAlign = findRecipeWithMinAlign<LoadInst>(Group);
 
    bool IsSingleScalar = EarliestLoad->isSingleScalar();
    assert(all_of(Group,
                  [IsSingleScalar](VPReplicateRecipe *R) {
                    return R->isSingleScalar() == IsSingleScalar;
                  }) &&
           "all members in group must agree on IsSingleScalar");
 
    // Create an unpredicated version of the earliest load with common
    // metadata.
    auto *UnpredicatedLoad = new VPReplicateRecipe(
        LoadWithMinAlign->getUnderlyingInstr(), {EarliestLoad->getOperand(0)},
        IsSingleScalar, /*Mask=*/nullptr, *EarliestLoad, CommonMetadata);
 
    UnpredicatedLoad->insertBefore(EarliestLoad);
 
    // Replace all loads in the group with the unpredicated load.
    for (VPReplicateRecipe *Load : Group) {
      Load->replaceAllUsesWith(UnpredicatedLoad);
      Load->eraseFromParent();
    }
  }
}
 
static bool
canSinkStoreWithNoAliasCheck(ArrayRef<VPReplicateRecipe *> StoresToSink,
                             PredicatedScalarEvolution &PSE, const Loop &L,
                             VPTypeAnalysis &TypeInfo) {
  auto StoreLoc = vputils::getMemoryLocation(*StoresToSink.front());
  if (!StoreLoc || !StoreLoc->AATags.Scope)
    return false;
 
  // When sinking a group of stores, all members of the group alias each other.
  // Skip them during the alias checks.
  SmallPtrSet<VPRecipeBase *, 4> StoresToSinkSet(StoresToSink.begin(),
                                                 StoresToSink.end());
 
  VPBasicBlock *FirstBB = StoresToSink.front()->getParent();
  VPBasicBlock *LastBB = StoresToSink.back()->getParent();
  SinkStoreInfo SinkInfo(StoresToSinkSet, *StoresToSink[0], PSE, L, TypeInfo);
  return canHoistOrSinkWithNoAliasCheck(*StoreLoc, FirstBB, LastBB, SinkInfo);
}
 
void VPlanTransforms::sinkPredicatedStores(VPlan &Plan,
                                           PredicatedScalarEvolution &PSE,
                                           const Loop *L) {
  auto Groups =
      collectComplementaryPredicatedMemOps<Instruction::Store>(Plan, PSE, L);
  if (Groups.empty())
    return;
 
  VPTypeAnalysis TypeInfo(Plan);
 
  for (auto &Group : Groups) {
    if (!canSinkStoreWithNoAliasCheck(Group, PSE, *L, TypeInfo))
      continue;
 
    // Use the last (most dominated) store's location for the unconditional
    // store.
    VPReplicateRecipe *LastStore = Group.back();
    VPBasicBlock *InsertBB = LastStore->getParent();
 
    // Collect common alias metadata from all stores in the group.
    VPIRMetadata CommonMetadata = getCommonMetadata(Group);
 
    // Build select chain for stored values.
    VPValue *SelectedValue = Group[0]->getOperand(0);
    VPBuilder Builder(InsertBB, LastStore->getIterator());
 
    bool IsSingleScalar = Group[0]->isSingleScalar();
    for (unsigned I = 1; I < Group.size(); ++I) {
      assert(IsSingleScalar == Group[I]->isSingleScalar() &&
             "all members in group must agree on IsSingleScalar");
      VPValue *Mask = Group[I]->getMask();
      VPValue *Value = Group[I]->getOperand(0);
      SelectedValue = Builder.createSelect(Mask, Value, SelectedValue,
                                           Group[I]->getDebugLoc());
    }
 
    // Find the store with minimum alignment to use.
    auto *StoreWithMinAlign = findRecipeWithMinAlign<StoreInst>(Group);
 
    // Create unconditional store with selected value and common metadata.
    auto *UnpredicatedStore = new VPReplicateRecipe(
        StoreWithMinAlign->getUnderlyingInstr(),
        {SelectedValue, LastStore->getOperand(1)}, IsSingleScalar,
        /*Mask=*/nullptr, *LastStore, CommonMetadata);
    UnpredicatedStore->insertBefore(*InsertBB, LastStore->getIterator());
 
    // Remove all predicated stores from the group.
    for (VPReplicateRecipe *Store : Group)
      Store->eraseFromParent();
  }
}
 
void VPlanTransforms::materializeConstantVectorTripCount(
    VPlan &Plan, ElementCount BestVF, unsigned BestUF,
    PredicatedScalarEvolution &PSE) {
  assert(Plan.hasVF(BestVF) && "BestVF is not available in Plan");
  assert(Plan.hasUF(BestUF) && "BestUF is not available in Plan");
 
  VPValue *TC = Plan.getTripCount();
  if (TC->getNumUsers() == 0)
    return;
 
  // Skip cases for which the trip count may be non-trivial to materialize.
  // I.e., when a scalar tail is absent - due to tail folding, or when a scalar
  // tail is required.
  if (!Plan.hasScalarTail() ||
      Plan.getMiddleBlock()->getSingleSuccessor() ==
          Plan.getScalarPreheader() ||
      !isa<VPIRValue>(TC))
    return;
 
  // Materialize vector trip counts for constants early if it can simply
  // be computed as (Original TC / VF * UF) * VF * UF.
  // TODO: Compute vector trip counts for loops requiring a scalar epilogue and
  // tail-folded loops.
  ScalarEvolution &SE = *PSE.getSE();
  auto *TCScev = SE.getSCEV(TC->getLiveInIRValue());
  if (!isa<SCEVConstant>(TCScev))
    return;
  const SCEV *VFxUF = SE.getElementCount(TCScev->getType(), BestVF * BestUF);
  auto VecTCScev = SE.getMulExpr(SE.getUDivExpr(TCScev, VFxUF), VFxUF);
  if (auto *ConstVecTC = dyn_cast<SCEVConstant>(VecTCScev))
    Plan.getVectorTripCount().setUnderlyingValue(ConstVecTC->getValue());
}
 
void VPlanTransforms::materializeBackedgeTakenCount(VPlan &Plan,
                                                    VPBasicBlock *VectorPH) {
  VPValue *BTC = Plan.getOrCreateBackedgeTakenCount();
  if (BTC->getNumUsers() == 0)
    return;
 
  VPBuilder Builder(VectorPH, VectorPH->begin());
  auto *TCTy = VPTypeAnalysis(Plan).inferScalarType(Plan.getTripCount());
  auto *TCMO =
      Builder.createSub(Plan.getTripCount(), Plan.getConstantInt(TCTy, 1),
                        DebugLoc::getCompilerGenerated(), "trip.count.minus.1");
  BTC->replaceAllUsesWith(TCMO);
}
 
void VPlanTransforms::materializePacksAndUnpacks(VPlan &Plan) {
  if (Plan.hasScalarVFOnly())
    return;
 
  VPTypeAnalysis TypeInfo(Plan);
  VPRegionBlock *LoopRegion = Plan.getVectorLoopRegion();
  auto VPBBsOutsideLoopRegion = VPBlockUtils::blocksOnly<VPBasicBlock>(
      vp_depth_first_shallow(Plan.getEntry()));
  auto VPBBsInsideLoopRegion = VPBlockUtils::blocksOnly<VPBasicBlock>(
      vp_depth_first_shallow(LoopRegion->getEntry()));
  // Materialize Build(Struct)Vector for all replicating VPReplicateRecipes,
  // VPScalarIVStepsRecipe and VPInstructions, excluding ones in replicate
  // regions. Those are not materialized explicitly yet. Those vector users are
  // still handled in VPReplicateRegion::execute(), via shouldPack().
  // TODO: materialize build vectors for replicating recipes in replicating
  // regions.
  for (VPBasicBlock *VPBB :
       concat<VPBasicBlock *>(VPBBsOutsideLoopRegion, VPBBsInsideLoopRegion)) {
    for (VPRecipeBase &R : make_early_inc_range(*VPBB)) {
      if (!isa<VPScalarIVStepsRecipe, VPReplicateRecipe, VPInstruction>(&R))
        continue;
      auto *DefR = cast<VPSingleDefRecipe>(&R);
      auto UsesVectorOrInsideReplicateRegion = [DefR, LoopRegion](VPUser *U) {
        VPRegionBlock *ParentRegion = cast<VPRecipeBase>(U)->getRegion();
        return !U->usesScalars(DefR) || ParentRegion != LoopRegion;
      };
      if ((isa<VPReplicateRecipe>(DefR) &&
           cast<VPReplicateRecipe>(DefR)->isSingleScalar()) ||
          (isa<VPInstruction>(DefR) &&
           (vputils::onlyFirstLaneUsed(DefR) ||
            !cast<VPInstruction>(DefR)->doesGeneratePerAllLanes())) ||
          none_of(DefR->users(), UsesVectorOrInsideReplicateRegion))
        continue;
 
      Type *ScalarTy = TypeInfo.inferScalarType(DefR);
      unsigned Opcode = ScalarTy->isStructTy()
                            ? VPInstruction::BuildStructVector
                            : VPInstruction::BuildVector;
      auto *BuildVector = new VPInstruction(Opcode, {DefR});
      BuildVector->insertAfter(DefR);
 
      DefR->replaceUsesWithIf(
          BuildVector, [BuildVector, &UsesVectorOrInsideReplicateRegion](
                           VPUser &U, unsigned) {
            return &U != BuildVector && UsesVectorOrInsideReplicateRegion(&U);
          });
    }
  }
 
  // Create explicit VPInstructions to convert vectors to scalars. The current
  // implementation is conservative - it may miss some cases that may or may not
  // be vector values. TODO: introduce Unpacks speculatively - remove them later
  // if they are known to operate on scalar values.
  for (VPBasicBlock *VPBB : VPBBsInsideLoopRegion) {
    for (VPRecipeBase &R : make_early_inc_range(*VPBB)) {
      if (isa<VPReplicateRecipe, VPInstruction, VPScalarIVStepsRecipe,
              VPDerivedIVRecipe, VPCanonicalIVPHIRecipe>(&R))
        continue;
      for (VPValue *Def : R.definedValues()) {
        // Skip recipes that are single-scalar or only have their first lane
        // used.
        // TODO: The Defs skipped here may or may not be vector values.
        // Introduce Unpacks, and remove them later, if they are guaranteed to
        // produce scalar values.
        if (vputils::isSingleScalar(Def) || vputils::onlyFirstLaneUsed(Def))
          continue;
 
        // At the moment, we create unpacks only for scalar users outside
        // replicate regions. Recipes inside replicate regions still extract the
        // required lanes implicitly.
        // TODO: Remove once replicate regions are unrolled completely.
        auto IsCandidateUnpackUser = [Def](VPUser *U) {
          VPRegionBlock *ParentRegion = cast<VPRecipeBase>(U)->getRegion();
          return U->usesScalars(Def) &&
                 (!ParentRegion || !ParentRegion->isReplicator());
        };
        if (none_of(Def->users(), IsCandidateUnpackUser))
          continue;
 
        auto *Unpack = new VPInstruction(VPInstruction::Unpack, {Def});
        if (R.isPhi())
          Unpack->insertBefore(*VPBB, VPBB->getFirstNonPhi());
        else
          Unpack->insertAfter(&R);
        Def->replaceUsesWithIf(Unpack,
                               [&IsCandidateUnpackUser](VPUser &U, unsigned) {
                                 return IsCandidateUnpackUser(&U);
                               });
      }
    }
  }
}
 
void VPlanTransforms::materializeVectorTripCount(VPlan &Plan,
                                                 VPBasicBlock *VectorPHVPBB,
                                                 bool TailByMasking,
                                                 bool RequiresScalarEpilogue,
                                                 VPValue *Step) {
  VPSymbolicValue &VectorTC = Plan.getVectorTripCount();
  // There's nothing to do if there are no users of the vector trip count or its
  // IR value has already been set.
  if (VectorTC.getNumUsers() == 0 || VectorTC.getUnderlyingValue())
    return;
 
  VPValue *TC = Plan.getTripCount();
  Type *TCTy = VPTypeAnalysis(Plan).inferScalarType(TC);
  VPBasicBlock::iterator InsertPt = VectorPHVPBB->begin();
  if (auto *StepR = Step->getDefiningRecipe()) {
    assert(StepR->getParent() == VectorPHVPBB &&
           "Step must be defined in VectorPHVPBB");
    // Insert after Step's definition to maintain valid def-use ordering.
    InsertPt = std::next(StepR->getIterator());
  }
  VPBuilder Builder(VectorPHVPBB, InsertPt);
 
  // If the tail is to be folded by masking, round the number of iterations N
  // up to a multiple of Step instead of rounding down. This is done by first
  // adding Step-1 and then rounding down. Note that it's ok if this addition
  // overflows: the vector induction variable will eventually wrap to zero given
  // that it starts at zero and its Step is a power of two; the loop will then
  // exit, with the last early-exit vector comparison also producing all-true.
  if (TailByMasking) {
    TC = Builder.createAdd(
        TC, Builder.createSub(Step, Plan.getConstantInt(TCTy, 1)),
        DebugLoc::getCompilerGenerated(), "n.rnd.up");
  }
 
  // Now we need to generate the expression for the part of the loop that the
  // vectorized body will execute. This is equal to N - (N % Step) if scalar
  // iterations are not required for correctness, or N - Step, otherwise. Step
  // is equal to the vectorization factor (number of SIMD elements) times the
  // unroll factor (number of SIMD instructions).
  VPValue *R =
      Builder.createNaryOp(Instruction::URem, {TC, Step},
                           DebugLoc::getCompilerGenerated(), "n.mod.vf");
 
  // There are cases where we *must* run at least one iteration in the remainder
  // loop.  See the cost model for when this can happen.  If the step evenly
  // divides the trip count, we set the remainder to be equal to the step. If
  // the step does not evenly divide the trip count, no adjustment is necessary
  // since there will already be scalar iterations. Note that the minimum
  // iterations check ensures that N >= Step.
  if (RequiresScalarEpilogue) {
    assert(!TailByMasking &&
           "requiring scalar epilogue is not supported with fail folding");
    VPValue *IsZero =
        Builder.createICmp(CmpInst::ICMP_EQ, R, Plan.getZero(TCTy));
    R = Builder.createSelect(IsZero, Step, R);
  }
 
  VPValue *Res =
      Builder.createSub(TC, R, DebugLoc::getCompilerGenerated(), "n.vec");
  VectorTC.replaceAllUsesWith(Res);
}
 
void VPlanTransforms::materializeFactors(VPlan &Plan, VPBasicBlock *VectorPH,
                                         ElementCount VFEC) {
  // If VF and VFxUF have already been materialized (no remaining users),
  // there's nothing more to do.
  if (Plan.getVF().isMaterialized()) {
    assert(Plan.getVFxUF().isMaterialized() &&
           "VF and VFxUF must be materialized together");
    return;
  }
 
  VPBuilder Builder(VectorPH, VectorPH->begin());
  Type *TCTy = VPTypeAnalysis(Plan).inferScalarType(Plan.getTripCount());
  VPValue &VF = Plan.getVF();
  VPValue &VFxUF = Plan.getVFxUF();
  // If there are no users of the runtime VF, compute VFxUF by constant folding
  // the multiplication of VF and UF.
  if (VF.getNumUsers() == 0) {
    VPValue *RuntimeVFxUF =
        Builder.createElementCount(TCTy, VFEC * Plan.getConcreteUF());
    VFxUF.replaceAllUsesWith(RuntimeVFxUF);
    return;
  }
 
  // For users of the runtime VF, compute it as VF * vscale, and VFxUF as (VF *
  // vscale) * UF.
  VPValue *RuntimeVF = Builder.createElementCount(TCTy, VFEC);
  if (!vputils::onlyScalarValuesUsed(&VF)) {
    VPValue *BC = Builder.createNaryOp(VPInstruction::Broadcast, RuntimeVF);
    VF.replaceUsesWithIf(
        BC, [&VF](VPUser &U, unsigned) { return !U.usesScalars(&VF); });
  }
  VF.replaceAllUsesWith(RuntimeVF);
 
  VPValue *MulByUF = Builder.createOverflowingOp(
      Instruction::Mul,
      {RuntimeVF, Plan.getConstantInt(TCTy, Plan.getConcreteUF())},
      {true, false});
  VFxUF.replaceAllUsesWith(MulByUF);
}
 
DenseMap<const SCEV *, Value *>
VPlanTransforms::expandSCEVs(VPlan &Plan, ScalarEvolution &SE) {
  SCEVExpander Expander(SE, "induction", /*PreserveLCSSA=*/false);
 
  auto *Entry = cast<VPIRBasicBlock>(Plan.getEntry());
  BasicBlock *EntryBB = Entry->getIRBasicBlock();
  DenseMap<const SCEV *, Value *> ExpandedSCEVs;
  for (VPRecipeBase &R : make_early_inc_range(*Entry)) {
    if (isa<VPIRInstruction, VPIRPhi>(&R))
      continue;
    auto *ExpSCEV = dyn_cast<VPExpandSCEVRecipe>(&R);
    if (!ExpSCEV)
      break;
    const SCEV *Expr = ExpSCEV->getSCEV();
    Value *Res =
        Expander.expandCodeFor(Expr, Expr->getType(), EntryBB->getTerminator());
    ExpandedSCEVs[ExpSCEV->getSCEV()] = Res;
    VPValue *Exp = Plan.getOrAddLiveIn(Res);
    ExpSCEV->replaceAllUsesWith(Exp);
    if (Plan.getTripCount() == ExpSCEV)
      Plan.resetTripCount(Exp);
    ExpSCEV->eraseFromParent();
  }
  assert(none_of(*Entry, IsaPred<VPExpandSCEVRecipe>) &&
         "VPExpandSCEVRecipes must be at the beginning of the entry block, "
         "before any VPIRInstructions");
  // Add IR instructions in the entry basic block but not in the VPIRBasicBlock
  // to the VPIRBasicBlock.
  auto EI = Entry->begin();
  for (Instruction &I : drop_end(*EntryBB)) {
    if (EI != Entry->end() && isa<VPIRInstruction>(*EI) &&
        &cast<VPIRInstruction>(&*EI)->getInstruction() == &I) {
      EI++;
      continue;
    }
    VPIRInstruction::create(I)->insertBefore(*Entry, EI);
  }
 
  return ExpandedSCEVs;
}
 
/// Returns true if \p V is VPWidenLoadRecipe or VPInterleaveRecipe that can be
/// converted to a narrower recipe. \p V is used by a wide recipe that feeds a
/// store interleave group at index \p Idx, \p WideMember0 is the recipe feeding
/// the same interleave group at index 0. A VPWidenLoadRecipe can be narrowed to
/// an index-independent load if it feeds all wide ops at all indices (\p OpV
/// must be the operand at index \p OpIdx for both the recipe at lane 0, \p
/// WideMember0). A VPInterleaveRecipe can be narrowed to a wide load, if \p V
/// is defined at \p Idx of a load interleave group.
static bool canNarrowLoad(VPSingleDefRecipe *WideMember0, unsigned OpIdx,
                          VPValue *OpV, unsigned Idx, bool IsScalable) {
  VPValue *Member0Op = WideMember0->getOperand(OpIdx);
  VPRecipeBase *Member0OpR = Member0Op->getDefiningRecipe();
  if (!Member0OpR)
    return Member0Op == OpV;
  if (auto *W = dyn_cast<VPWidenLoadRecipe>(Member0OpR))
    // For scalable VFs, the narrowed plan processes vscale iterations at once,
    // so a shared wide load cannot be narrowed to a uniform scalar; bail out.
    return !IsScalable && !W->getMask() && W->isConsecutive() &&
           Member0Op == OpV;
  if (auto *IR = dyn_cast<VPInterleaveRecipe>(Member0OpR))
    return IR->getInterleaveGroup()->isFull() && IR->getVPValue(Idx) == OpV;
  return false;
}
 
static bool canNarrowOps(ArrayRef<VPValue *> Ops, bool IsScalable) {
  SmallVector<VPValue *> Ops0;
  auto *WideMember0 = dyn_cast<VPSingleDefRecipe>(Ops[0]);
  if (!WideMember0)
    return false;
  for (VPValue *V : Ops) {
    if (!isa<VPWidenRecipe, VPWidenCastRecipe>(V))
      return false;
    auto *R = cast<VPSingleDefRecipe>(V);
    if (getOpcodeOrIntrinsicID(R) != getOpcodeOrIntrinsicID(WideMember0))
      return false;
  }
 
  for (unsigned Idx = 0; Idx != WideMember0->getNumOperands(); ++Idx) {
    SmallVector<VPValue *> OpsI;
    for (VPValue *Op : Ops)
      OpsI.push_back(Op->getDefiningRecipe()->getOperand(Idx));
 
    if (canNarrowOps(OpsI, IsScalable))
      continue;
 
    if (any_of(enumerate(OpsI), [WideMember0, Idx, IsScalable](const auto &P) {
          const auto &[OpIdx, OpV] = P;
          return !canNarrowLoad(WideMember0, Idx, OpV, OpIdx, IsScalable);
        }))
      return false;
  }
 
  return true;
}
 
/// Returns VF from \p VFs if \p IR is a full interleave group with factor and
/// number of members both equal to VF. The interleave group must also access
/// the full vector width.
static std::optional<ElementCount> isConsecutiveInterleaveGroup(
    VPInterleaveRecipe *InterleaveR, ArrayRef<ElementCount> VFs,
    VPTypeAnalysis &TypeInfo, const TargetTransformInfo &TTI) {
  if (!InterleaveR || InterleaveR->getMask())
    return std::nullopt;
 
  Type *GroupElementTy = nullptr;
  if (InterleaveR->getStoredValues().empty()) {
    GroupElementTy = TypeInfo.inferScalarType(InterleaveR->getVPValue(0));
    if (!all_of(InterleaveR->definedValues(),
                [&TypeInfo, GroupElementTy](VPValue *Op) {
                  return TypeInfo.inferScalarType(Op) == GroupElementTy;
                }))
      return std::nullopt;
  } else {
    GroupElementTy =
        TypeInfo.inferScalarType(InterleaveR->getStoredValues()[0]);
    if (!all_of(InterleaveR->getStoredValues(),
                [&TypeInfo, GroupElementTy](VPValue *Op) {
                  return TypeInfo.inferScalarType(Op) == GroupElementTy;
                }))
      return std::nullopt;
  }
 
  auto IG = InterleaveR->getInterleaveGroup();
  if (IG->getFactor() != IG->getNumMembers())
    return std::nullopt;
 
  auto GetVectorBitWidthForVF = [&TTI](ElementCount VF) {
    TypeSize Size = TTI.getRegisterBitWidth(
        VF.isFixed() ? TargetTransformInfo::RGK_FixedWidthVector
                     : TargetTransformInfo::RGK_ScalableVector);
    assert(Size.isScalable() == VF.isScalable() &&
           "if Size is scalable, VF must be scalable and vice versa");
    return Size.getKnownMinValue();
  };
 
  for (ElementCount VF : VFs) {
    unsigned MinVal = VF.getKnownMinValue();
    unsigned GroupSize = GroupElementTy->getScalarSizeInBits() * MinVal;
    if (IG->getFactor() == MinVal && GroupSize == GetVectorBitWidthForVF(VF))
      return {VF};
  }
  return std::nullopt;
}
 
/// Returns true if \p VPValue is a narrow VPValue.
static bool isAlreadyNarrow(VPValue *VPV) {
  if (isa<VPIRValue>(VPV))
    return true;
  auto *RepR = dyn_cast<VPReplicateRecipe>(VPV);
  return RepR && RepR->isSingleScalar();
}
 
// Convert a wide recipe defining a VPValue \p V feeding an interleave group to
// a narrow variant.
static VPValue *
narrowInterleaveGroupOp(VPValue *V, SmallPtrSetImpl<VPValue *> &NarrowedOps) {
  auto *R = V->getDefiningRecipe();
  if (!R || NarrowedOps.contains(V))
    return V;
 
  if (isAlreadyNarrow(V))
    return V;
 
  if (isa<VPWidenRecipe, VPWidenCastRecipe>(R)) {
    auto *WideMember0 = cast<VPSingleDefRecipe>(R);
    for (unsigned Idx = 0, E = WideMember0->getNumOperands(); Idx != E; ++Idx)
      WideMember0->setOperand(
          Idx,
          narrowInterleaveGroupOp(WideMember0->getOperand(Idx), NarrowedOps));
    return V;
  }
 
  if (auto *LoadGroup = dyn_cast<VPInterleaveRecipe>(R)) {
    // Narrow interleave group to wide load, as transformed VPlan will only
    // process one original iteration.
    auto *LI = cast<LoadInst>(LoadGroup->getInterleaveGroup()->getInsertPos());
    auto *L = new VPWidenLoadRecipe(*LI, LoadGroup->getAddr(),
                                    LoadGroup->getMask(), /*Consecutive=*/true,
                                    {}, LoadGroup->getDebugLoc());
    L->insertBefore(LoadGroup);
    NarrowedOps.insert(L);
    return L;
  }
 
  if (auto *RepR = dyn_cast<VPReplicateRecipe>(R)) {
    assert(RepR->isSingleScalar() &&
           isa<LoadInst>(RepR->getUnderlyingInstr()) &&
           "must be a single scalar load");
    NarrowedOps.insert(RepR);
    return RepR;
  }
 
  auto *WideLoad = cast<VPWidenLoadRecipe>(R);
  VPValue *PtrOp = WideLoad->getAddr();
  if (auto *VecPtr = dyn_cast<VPVectorPointerRecipe>(PtrOp))
    PtrOp = VecPtr->getOperand(0);
  // Narrow wide load to uniform scalar load, as transformed VPlan will only
  // process one original iteration.
  auto *N = new VPReplicateRecipe(&WideLoad->getIngredient(), {PtrOp},
                                  /*IsUniform*/ true,
                                  /*Mask*/ nullptr, {}, *WideLoad);
  N->insertBefore(WideLoad);
  NarrowedOps.insert(N);
  return N;
}
 
std::unique_ptr<VPlan>
VPlanTransforms::narrowInterleaveGroups(VPlan &Plan,
                                        const TargetTransformInfo &TTI) {
  VPRegionBlock *VectorLoop = Plan.getVectorLoopRegion();
 
  if (!VectorLoop)
    return nullptr;
 
  // Only handle single-block loops for now.
  if (VectorLoop->getEntryBasicBlock() != VectorLoop->getExitingBasicBlock())
    return nullptr;
 
  // Skip plans when we may not be able to properly narrow.
  VPBasicBlock *Exiting = VectorLoop->getExitingBasicBlock();
  if (!match(&Exiting->back(), m_BranchOnCount()))
    return nullptr;
 
  assert(match(&Exiting->back(),
               m_BranchOnCount(m_Add(m_VPValue(), m_Specific(&Plan.getVFxUF())),
                               m_Specific(&Plan.getVectorTripCount()))) &&
         "unexpected branch-on-count");
 
  VPTypeAnalysis TypeInfo(Plan);
  SmallVector<VPInterleaveRecipe *> StoreGroups;
  std::optional<ElementCount> VFToOptimize;
  for (auto &R : *VectorLoop->getEntryBasicBlock()) {
    if (isa<VPCanonicalIVPHIRecipe>(&R))
      continue;
 
    if (isa<VPDerivedIVRecipe, VPScalarIVStepsRecipe>(&R) &&
        vputils::onlyFirstLaneUsed(cast<VPSingleDefRecipe>(&R)))
      continue;
 
    // Bail out on recipes not supported at the moment:
    //  * phi recipes other than the canonical induction
    //  * recipes writing to memory except interleave groups
    // Only support plans with a canonical induction phi.
    if (R.isPhi())
      return nullptr;
 
    auto *InterleaveR = dyn_cast<VPInterleaveRecipe>(&R);
    if (R.mayWriteToMemory() && !InterleaveR)
      return nullptr;
 
    // All other ops are allowed, but we reject uses that cannot be converted
    // when checking all allowed consumers (store interleave groups) below.
    if (!InterleaveR)
      continue;
 
    // Try to find a single VF, where all interleave groups are consecutive and
    // saturate the full vector width. If we already have a candidate VF, check
    // if it is applicable for the current InterleaveR, otherwise look for a
    // suitable VF across the Plan's VFs.
    SmallVector<ElementCount> VFs =
        VFToOptimize ? SmallVector<ElementCount>({*VFToOptimize})
                     : to_vector(Plan.vectorFactors());
    std::optional<ElementCount> NarrowedVF =
        isConsecutiveInterleaveGroup(InterleaveR, VFs, TypeInfo, TTI);
    if (!NarrowedVF || (VFToOptimize && NarrowedVF != VFToOptimize))
      return nullptr;
    VFToOptimize = NarrowedVF;
 
    // Skip read interleave groups.
    if (InterleaveR->getStoredValues().empty())
      continue;
 
    // Narrow interleave groups, if all operands are already matching narrow
    // ops.
    auto *Member0 = InterleaveR->getStoredValues()[0];
    if (isAlreadyNarrow(Member0) &&
        all_of(InterleaveR->getStoredValues(), equal_to(Member0))) {
      StoreGroups.push_back(InterleaveR);
      continue;
    }
 
    // For now, we only support full interleave groups storing load interleave
    // groups.
    if (all_of(enumerate(InterleaveR->getStoredValues()), [](auto Op) {
          VPRecipeBase *DefR = Op.value()->getDefiningRecipe();
          if (!DefR)
            return false;
          auto *IR = dyn_cast<VPInterleaveRecipe>(DefR);
          return IR && IR->getInterleaveGroup()->isFull() &&
                 IR->getVPValue(Op.index()) == Op.value();
        })) {
      StoreGroups.push_back(InterleaveR);
      continue;
    }
 
    // Check if all values feeding InterleaveR are matching wide recipes, which
    // operands that can be narrowed.
    if (!canNarrowOps(InterleaveR->getStoredValues(),
                      VFToOptimize->isScalable()))
      return nullptr;
    StoreGroups.push_back(InterleaveR);
  }
 
  if (StoreGroups.empty())
    return nullptr;
 
  VPBasicBlock *MiddleVPBB = Plan.getMiddleBlock();
  bool RequiresScalarEpilogue =
      MiddleVPBB->getNumSuccessors() == 1 &&
      MiddleVPBB->getSingleSuccessor() == Plan.getScalarPreheader();
  // Bail out for tail-folding (middle block with a single successor to exit).
  if (MiddleVPBB->getNumSuccessors() != 2 && !RequiresScalarEpilogue)
    return nullptr;
 
  // All interleave groups in Plan can be narrowed for VFToOptimize. Split the
  // original Plan into 2: a) a new clone which contains all VFs of Plan, except
  // VFToOptimize, and b) the original Plan with VFToOptimize as single VF.
  // TODO: Handle cases where only some interleave groups can be narrowed.
  std::unique_ptr<VPlan> NewPlan;
  if (size(Plan.vectorFactors()) != 1) {
    NewPlan = std::unique_ptr<VPlan>(Plan.duplicate());
    Plan.setVF(*VFToOptimize);
    NewPlan->removeVF(*VFToOptimize);
  }
 
  // Convert InterleaveGroup \p R to a single VPWidenLoadRecipe.
  SmallPtrSet<VPValue *, 4> NarrowedOps;
  // Narrow operation tree rooted at store groups.
  for (auto *StoreGroup : StoreGroups) {
    VPValue *Res =
        narrowInterleaveGroupOp(StoreGroup->getStoredValues()[0], NarrowedOps);
    auto *SI =
        cast<StoreInst>(StoreGroup->getInterleaveGroup()->getInsertPos());
    auto *S = new VPWidenStoreRecipe(*SI, StoreGroup->getAddr(), Res, nullptr,
                                     /*Consecutive=*/true, {},
                                     StoreGroup->getDebugLoc());
    S->insertBefore(StoreGroup);
    StoreGroup->eraseFromParent();
  }
 
  // Adjust induction to reflect that the transformed plan only processes one
  // original iteration.
  auto *CanIV = VectorLoop->getCanonicalIV();
  auto *Inc = cast<VPInstruction>(CanIV->getBackedgeValue());
  VPBasicBlock *VectorPH = Plan.getVectorPreheader();
  VPBuilder PHBuilder(VectorPH, VectorPH->begin());
 
  VPValue *UF = &Plan.getUF();
  VPValue *Step;
  if (VFToOptimize->isScalable()) {
    VPValue *VScale = PHBuilder.createElementCount(
        VectorLoop->getCanonicalIVType(), ElementCount::getScalable(1));
    Step = PHBuilder.createOverflowingOp(Instruction::Mul, {VScale, UF},
                                         {true, false});
    Plan.getVF().replaceAllUsesWith(VScale);
  } else {
    Step = UF;
    Plan.getVF().replaceAllUsesWith(
        Plan.getConstantInt(CanIV->getScalarType(), 1));
  }
  // Materialize vector trip count with the narrowed step.
  materializeVectorTripCount(Plan, VectorPH, /*TailByMasking=*/false,
                             RequiresScalarEpilogue, Step);
 
  Inc->setOperand(1, Step);
  Plan.getVFxUF().replaceAllUsesWith(Step);
 
  removeDeadRecipes(Plan);
  assert(none_of(*VectorLoop->getEntryBasicBlock(),
                 IsaPred<VPVectorPointerRecipe>) &&
         "All VPVectorPointerRecipes should have been removed");
  return NewPlan;
}
 
/// Add branch weight metadata, if the \p Plan's middle block is terminated by a
/// BranchOnCond recipe.
void VPlanTransforms::addBranchWeightToMiddleTerminator(
    VPlan &Plan, ElementCount VF, std::optional<unsigned> VScaleForTuning) {
  VPBasicBlock *MiddleVPBB = Plan.getMiddleBlock();
  auto *MiddleTerm =
      dyn_cast_or_null<VPInstruction>(MiddleVPBB->getTerminator());
  // Only add branch metadata if there is a (conditional) terminator.
  if (!MiddleTerm)
    return;
 
  assert(MiddleTerm->getOpcode() == VPInstruction::BranchOnCond &&
         "must have a BranchOnCond");
  // Assume that `TripCount % VectorStep ` is equally distributed.
  unsigned VectorStep = Plan.getConcreteUF() * VF.getKnownMinValue();
  if (VF.isScalable() && VScaleForTuning.has_value())
    VectorStep *= *VScaleForTuning;
  assert(VectorStep > 0 && "trip count should not be zero");
  MDBuilder MDB(Plan.getContext());
  MDNode *BranchWeights =
      MDB.createBranchWeights({1, VectorStep - 1}, /*IsExpected=*/false);
  MiddleTerm->setMetadata(LLVMContext::MD_prof, BranchWeights);
}
 
void VPlanTransforms::addExitUsersForFirstOrderRecurrences(VPlan &Plan,
                                                           VFRange &Range) {
  VPRegionBlock *VectorRegion = Plan.getVectorLoopRegion();
  auto *MiddleVPBB = Plan.getMiddleBlock();
  VPBuilder MiddleBuilder(MiddleVPBB, MiddleVPBB->getFirstNonPhi());
 
  auto IsScalableOne = [](ElementCount VF) -> bool {
    return VF == ElementCount::getScalable(1);
  };
 
  for (auto &HeaderPhi : VectorRegion->getEntryBasicBlock()->phis()) {
    auto *FOR = dyn_cast<VPFirstOrderRecurrencePHIRecipe>(&HeaderPhi);
    if (!FOR)
      continue;
 
    assert(VectorRegion->getSingleSuccessor() == Plan.getMiddleBlock() &&
           "Cannot handle loops with uncountable early exits");
 
    // This is the second phase of vectorizing first-order recurrences, creating
    // extract for users outside the loop. An overview of the transformation is
    // described below. Suppose we have the following loop with some use after
    // the loop of the last a[i-1],
    //
    //   for (int i = 0; i < n; ++i) {
    //     t = a[i - 1];
    //     b[i] = a[i] - t;
    //   }
    //   use t;
    //
    // There is a first-order recurrence on "a". For this loop, the shorthand
    // scalar IR looks like:
    //
    //   scalar.ph:
    //     s.init = a[-1]
    //     br scalar.body
    //
    //   scalar.body:
    //     i = phi [0, scalar.ph], [i+1, scalar.body]
    //     s1 = phi [s.init, scalar.ph], [s2, scalar.body]
    //     s2 = a[i]
    //     b[i] = s2 - s1
    //     br cond, scalar.body, exit.block
    //
    //   exit.block:
    //     use = lcssa.phi [s1, scalar.body]
    //
    // In this example, s1 is a recurrence because it's value depends on the
    // previous iteration. In the first phase of vectorization, we created a
    // VPFirstOrderRecurrencePHIRecipe v1 for s1. Now we create the extracts
    // for users in the scalar preheader and exit block.
    //
    //   vector.ph:
    //     v_init = vector(..., ..., ..., a[-1])
    //     br vector.body
    //
    //   vector.body
    //     i = phi [0, vector.ph], [i+4, vector.body]
    //     v1 = phi [v_init, vector.ph], [v2, vector.body]
    //     v2 = a[i, i+1, i+2, i+3]
    //     b[i] = v2 - v1
    //     // Next, third phase will introduce v1' = splice(v1(3), v2(0, 1, 2))
    //     b[i, i+1, i+2, i+3] = v2 - v1
    //     br cond, vector.body, middle.block
    //
    //   middle.block:
    //     vector.recur.extract.for.phi = v2(2)
    //     vector.recur.extract = v2(3)
    //     br cond, scalar.ph, exit.block
    //
    //   scalar.ph:
    //     scalar.recur.init = phi [vector.recur.extract, middle.block],
    //                             [s.init, otherwise]
    //     br scalar.body
    //
    //   scalar.body:
    //     i = phi [0, scalar.ph], [i+1, scalar.body]
    //     s1 = phi [scalar.recur.init, scalar.ph], [s2, scalar.body]
    //     s2 = a[i]
    //     b[i] = s2 - s1
    //     br cond, scalar.body, exit.block
    //
    //   exit.block:
    //     lo = lcssa.phi [s1, scalar.body],
    //                    [vector.recur.extract.for.phi, middle.block]
    //
    // Now update VPIRInstructions modeling LCSSA phis in the exit block.
    // Extract the penultimate value of the recurrence and use it as operand for
    // the VPIRInstruction modeling the phi.
    for (VPRecipeBase &R : make_early_inc_range(
             make_range(MiddleVPBB->getFirstNonPhi(), MiddleVPBB->end()))) {
      if (!match(&R, m_ExtractLastLaneOfLastPart(m_Specific(FOR))))
        continue;
 
      // For VF vscale x 1, if vscale = 1, we are unable to extract the
      // penultimate value of the recurrence. Instead we rely on the existing
      // extract of the last element from the result of
      // VPInstruction::FirstOrderRecurrenceSplice.
      // TODO: Consider vscale_range info and UF.
      if (LoopVectorizationPlanner::getDecisionAndClampRange(IsScalableOne,
                                                             Range))
        return;
      VPValue *PenultimateElement = MiddleBuilder.createNaryOp(
          VPInstruction::ExtractPenultimateElement, FOR->getBackedgeValue(), {},
          "vector.recur.extract.for.phi");
      for (VPUser *U : to_vector(cast<VPInstruction>(&R)->users())) {
        auto *ExitPhi = dyn_cast<VPIRPhi>(U);
        if (!ExitPhi)
          continue;
        ExitPhi->replaceUsesOfWith(cast<VPInstruction>(&R), PenultimateElement);
      }
    }
  }
}
 
/// Check if \p V is a binary expression of a widened IV and a loop-invariant
/// value. Returns the widened IV if found, nullptr otherwise.
static VPWidenIntOrFpInductionRecipe *getExpressionIV(VPValue *V) {
  auto *BinOp = dyn_cast<VPWidenRecipe>(V);
  if (!BinOp || !Instruction::isBinaryOp(BinOp->getOpcode()) ||
      Instruction::isIntDivRem(BinOp->getOpcode()))
    return nullptr;
 
  VPValue *WidenIVCandidate = BinOp->getOperand(0);
  VPValue *InvariantCandidate = BinOp->getOperand(1);
  if (!isa<VPWidenIntOrFpInductionRecipe>(WidenIVCandidate))
    std::swap(WidenIVCandidate, InvariantCandidate);
 
  if (!InvariantCandidate->isDefinedOutsideLoopRegions())
    return nullptr;
 
  return dyn_cast<VPWidenIntOrFpInductionRecipe>(WidenIVCandidate);
}
 
/// Create a scalar version of \p BinOp, with its \p WidenIV operand replaced
/// by \p ScalarIV, and place it after \p ScalarIV's defining recipe.
static VPValue *cloneBinOpForScalarIV(VPWidenRecipe *BinOp, VPValue *ScalarIV,
                                      VPWidenIntOrFpInductionRecipe *WidenIV) {
  assert(Instruction::isBinaryOp(BinOp->getOpcode()) &&
         BinOp->getNumOperands() == 2 && "BinOp must have 2 operands");
  auto *ClonedOp = BinOp->clone();
  if (ClonedOp->getOperand(0) == WidenIV) {
    ClonedOp->setOperand(0, ScalarIV);
  } else {
    assert(ClonedOp->getOperand(1) == WidenIV && "one operand must be WideIV");
    ClonedOp->setOperand(1, ScalarIV);
  }
  ClonedOp->insertAfter(ScalarIV->getDefiningRecipe());
  return ClonedOp;
}
 
void VPlanTransforms::optimizeFindIVReductions(VPlan &Plan,
                                               PredicatedScalarEvolution &PSE,
                                               Loop &L) {
  ScalarEvolution &SE = *PSE.getSE();
  VPRegionBlock *VectorLoopRegion = Plan.getVectorLoopRegion();
 
  // Helper lambda to check if the IV range excludes the sentinel value. Try
  // signed first, then unsigned. Return an excluded sentinel if found,
  // otherwise return std::nullopt.
  auto CheckSentinel = [&SE](const SCEV *IVSCEV,
                             bool UseMax) -> std::optional<APSInt> {
    unsigned BW = IVSCEV->getType()->getScalarSizeInBits();
    for (bool Signed : {true, false}) {
      APSInt Sentinel = UseMax ? APSInt::getMinValue(BW, /*Unsigned=*/!Signed)
                               : APSInt::getMaxValue(BW, /*Unsigned=*/!Signed);
 
      ConstantRange IVRange =
          Signed ? SE.getSignedRange(IVSCEV) : SE.getUnsignedRange(IVSCEV);
      if (!IVRange.contains(Sentinel))
        return Sentinel;
    }
    return std::nullopt;
  };
 
  VPValue *HeaderMask = vputils::findHeaderMask(Plan);
  for (VPRecipeBase &Phi :
       make_early_inc_range(VectorLoopRegion->getEntryBasicBlock()->phis())) {
    auto *PhiR = dyn_cast<VPReductionPHIRecipe>(&Phi);
    if (!PhiR || !RecurrenceDescriptor::isFindLastRecurrenceKind(
                     PhiR->getRecurrenceKind()))
      continue;
 
    Type *PhiTy = VPTypeAnalysis(Plan).inferScalarType(PhiR);
    if (PhiTy->isPointerTy() || PhiTy->isFloatingPointTy())
      continue;
 
    // If there's a header mask, the backedge select will not be the find-last
    // select.
    VPValue *BackedgeVal = PhiR->getBackedgeValue();
    auto *FindLastSelect = cast<VPSingleDefRecipe>(BackedgeVal);
    if (HeaderMask &&
        !match(BackedgeVal,
               m_Select(m_Specific(HeaderMask),
                        m_VPSingleDefRecipe(FindLastSelect), m_Specific(PhiR))))
      llvm_unreachable("expected header mask select");
 
    // Get the find-last expression from the find-last select of the reduction
    // phi. The find-last select should be a select between the phi and the
    // find-last expression.
    VPValue *Cond, *FindLastExpression;
    if (!match(FindLastSelect, m_Select(m_VPValue(Cond), m_Specific(PhiR),
                                        m_VPValue(FindLastExpression))) &&
        !match(FindLastSelect,
               m_Select(m_VPValue(Cond), m_VPValue(FindLastExpression),
                        m_Specific(PhiR))))
      continue;
 
    // Check if FindLastExpression is a simple expression of a widened IV. If
    // so, we can track the underlying IV instead and sink the expression.
    auto *IVOfExpressionToSink = getExpressionIV(FindLastExpression);
    const SCEV *IVSCEV = vputils::getSCEVExprForVPValue(
        IVOfExpressionToSink ? IVOfExpressionToSink : FindLastExpression, PSE,
        &L);
    const SCEV *Step;
    if (!match(IVSCEV, m_scev_AffineAddRec(m_SCEV(), m_SCEV(Step)))) {
      assert(!match(vputils::getSCEVExprForVPValue(FindLastExpression, PSE, &L),
                    m_scev_AffineAddRec(m_SCEV(), m_SCEV())) &&
             "IVOfExpressionToSink not being an AddRec must imply "
             "FindLastExpression not being an AddRec.");
      continue;
    }
 
    // Determine direction from SCEV step.
    if (!SE.isKnownNonZero(Step))
      continue;
 
    // Positive step means we need UMax/SMax to find the last IV value, and
    // UMin/SMin otherwise.
    bool UseMax = SE.isKnownPositive(Step);
    std::optional<APSInt> SentinelVal = CheckSentinel(IVSCEV, UseMax);
    bool UseSigned = SentinelVal && SentinelVal->isSigned();
 
    // Sinking an expression will disable epilogue vectorization. Only use it,
    // if FindLastExpression cannot be vectorized via a sentinel. Sinking may
    // also prevent vectorizing using a sentinel (e.g., if the expression is a
    // multiply or divide by large constant, respectively), which also makes
    // sinking undesirable.
    if (IVOfExpressionToSink) {
      const SCEV *FindLastExpressionSCEV =
          vputils::getSCEVExprForVPValue(FindLastExpression, PSE, &L);
      if (match(FindLastExpressionSCEV,
                m_scev_AffineAddRec(m_SCEV(), m_SCEV(Step)))) {
        bool NewUseMax = SE.isKnownPositive(Step);
        if (auto NewSentinel =
                CheckSentinel(FindLastExpressionSCEV, NewUseMax)) {
          // The original expression already has a sentinel, so prefer not
          // sinking to keep epilogue vectorization possible.
          SentinelVal = *NewSentinel;
          UseSigned = NewSentinel->isSigned();
          UseMax = NewUseMax;
          IVSCEV = FindLastExpressionSCEV;
          IVOfExpressionToSink = nullptr;
        }
      }
    }
 
    // If no sentinel was found, fall back to a boolean AnyOf reduction to track
    // if the condition was ever true. Requires the IV to not wrap, otherwise we
    // cannot use min/max.
    if (!SentinelVal) {
      auto *AR = cast<SCEVAddRecExpr>(IVSCEV);
      if (AR->hasNoSignedWrap())
        UseSigned = true;
      else if (AR->hasNoUnsignedWrap())
        UseSigned = false;
      else
        continue;
    }
 
    VPInstruction *RdxResult = cast<VPInstruction>(vputils::findRecipe(
        BackedgeVal,
        match_fn(m_VPInstruction<VPInstruction::ComputeReductionResult>())));
 
    VPValue *NewFindLastSelect = BackedgeVal;
    VPValue *SelectCond = Cond;
    if (!SentinelVal || IVOfExpressionToSink) {
      // When we need to create a new select, normalize the condition so that
      // PhiR is the last operand and include the header mask if needed.
      DebugLoc DL = FindLastSelect->getDefiningRecipe()->getDebugLoc();
      VPBuilder LoopBuilder(FindLastSelect->getDefiningRecipe());
      if (FindLastSelect->getDefiningRecipe()->getOperand(1) == PhiR)
        SelectCond = LoopBuilder.createNot(SelectCond);
 
      // When tail folding, mask the condition with the header mask to prevent
      // propagating poison from inactive lanes in the last vector iteration.
      if (HeaderMask)
        SelectCond = LoopBuilder.createLogicalAnd(HeaderMask, SelectCond);
 
      if (SelectCond != Cond || IVOfExpressionToSink) {
        NewFindLastSelect = LoopBuilder.createSelect(
            SelectCond,
            IVOfExpressionToSink ? IVOfExpressionToSink : FindLastExpression,
            PhiR, DL);
      }
    }
 
    // Create the reduction result in the middle block using sentinel directly.
    RecurKind MinMaxKind =
        UseMax ? (UseSigned ? RecurKind::SMax : RecurKind::UMax)
               : (UseSigned ? RecurKind::SMin : RecurKind::UMin);
    VPIRFlags Flags(MinMaxKind, /*IsOrdered=*/false, /*IsInLoop=*/false,
                    FastMathFlags());
    DebugLoc ExitDL = RdxResult->getDebugLoc();
    VPBuilder MiddleBuilder(RdxResult);
    VPValue *ReducedIV =
        MiddleBuilder.createNaryOp(VPInstruction::ComputeReductionResult,
                                   NewFindLastSelect, Flags, ExitDL);
 
    // If IVOfExpressionToSink is an expression to sink, sink it now.
    VPValue *VectorRegionExitingVal = ReducedIV;
    if (IVOfExpressionToSink)
      VectorRegionExitingVal =
          cloneBinOpForScalarIV(cast<VPWidenRecipe>(FindLastExpression),
                                ReducedIV, IVOfExpressionToSink);
 
    VPValue *NewRdxResult;
    VPValue *StartVPV = PhiR->getStartValue();
    if (SentinelVal) {
      // Sentinel-based approach: reduce IVs with min/max, compare against
      // sentinel to detect if condition was ever true, select accordingly.
      VPValue *Sentinel = Plan.getConstantInt(*SentinelVal);
      auto *Cmp = MiddleBuilder.createICmp(CmpInst::ICMP_NE, ReducedIV,
                                           Sentinel, ExitDL);
      NewRdxResult = MiddleBuilder.createSelect(Cmp, VectorRegionExitingVal,
                                                StartVPV, ExitDL);
      StartVPV = Sentinel;
    } else {
      // Introduce a boolean AnyOf reduction to track if the condition was ever
      // true in the loop. Use it to select the initial start value, if it was
      // never true.
      auto *AnyOfPhi = new VPReductionPHIRecipe(
          /*Phi=*/nullptr, RecurKind::Or, *Plan.getFalse(), *Plan.getFalse(),
          RdxUnordered{1}, {}, /*HasUsesOutsideReductionChain=*/false);
      AnyOfPhi->insertAfter(PhiR);
 
      VPBuilder LoopBuilder(BackedgeVal->getDefiningRecipe());
      VPValue *OrVal = LoopBuilder.createOr(AnyOfPhi, SelectCond);
      AnyOfPhi->setOperand(1, OrVal);
 
      NewRdxResult = MiddleBuilder.createAnyOfReduction(
          OrVal, VectorRegionExitingVal, StartVPV, ExitDL);
 
      // Initialize the IV reduction phi with the neutral element, not the
      // original start value, to ensure correct min/max reduction results.
      StartVPV = Plan.getOrAddLiveIn(
          getRecurrenceIdentity(MinMaxKind, IVSCEV->getType(), {}));
    }
    RdxResult->replaceAllUsesWith(NewRdxResult);
    RdxResult->eraseFromParent();
 
    auto *NewPhiR = new VPReductionPHIRecipe(
        cast<PHINode>(PhiR->getUnderlyingInstr()), RecurKind::FindIV, *StartVPV,
        *NewFindLastSelect, RdxUnordered{1}, {},
        PhiR->hasUsesOutsideReductionChain());
    NewPhiR->insertBefore(PhiR);
    PhiR->replaceAllUsesWith(NewPhiR);
    PhiR->eraseFromParent();
  }
}
 
namespace {
 
using ExtendKind = TTI::PartialReductionExtendKind;
struct ReductionExtend {
  Type *SrcType = nullptr;
  ExtendKind Kind = ExtendKind::PR_None;
};
 
/// Describes the extends used to compute the extended reduction operand.
/// ExtendB is optional. If ExtendB is present, ExtendsUser is a binary
/// operation.
struct ExtendedReductionOperand {
  /// The recipe that consumes the extends.
  VPWidenRecipe *ExtendsUser = nullptr;
  /// Extend descriptions (inputs to getPartialReductionCost).
  ReductionExtend ExtendA, ExtendB;
};
 
/// A chain of recipes that form a partial reduction. Matches either
///   reduction_bin_op (extended op, accumulator), or
///   reduction_bin_op (accumulator, extended op).
/// The possible forms of the "extended op" are listed in
/// matchExtendedReductionOperand.
struct VPPartialReductionChain {
  /// The top-level binary operation that forms the reduction to a scalar
  /// after the loop body.
  VPWidenRecipe *ReductionBinOp = nullptr;
  /// The user of the extends that is then reduced.
  ExtendedReductionOperand ExtendedOp;
  /// The recurrence kind for the entire partial reduction chain.
  /// This allows distinguishing between Sub and AddWithSub recurrences,
  /// when the ReductionBinOp is a Instruction::Sub.
  RecurKind RK;
  /// The index of the accumulator operand of ReductionBinOp. The extended op
  /// is `1 - AccumulatorOpIdx`.
  unsigned AccumulatorOpIdx;
  unsigned ScaleFactor;
};
 
static VPSingleDefRecipe *
optimizeExtendsForPartialReduction(VPSingleDefRecipe *Op,
                                   VPTypeAnalysis &TypeInfo) {
  // reduce.add(mul(ext(A), C))
  // -> reduce.add(mul(ext(A), ext(trunc(C))))
  const APInt *Const;
  if (match(Op, m_Mul(m_ZExtOrSExt(m_VPValue()), m_APInt(Const)))) {
    auto *ExtA = cast<VPWidenCastRecipe>(Op->getOperand(0));
    Instruction::CastOps ExtOpc = ExtA->getOpcode();
    Type *NarrowTy = TypeInfo.inferScalarType(ExtA->getOperand(0));
    if (!Op->hasOneUse() ||
        !llvm::canConstantBeExtended(
            Const, NarrowTy, TTI::getPartialReductionExtendKind(ExtOpc)))
      return Op;
 
    VPBuilder Builder(Op);
    auto *Trunc = Builder.createWidenCast(Instruction::CastOps::Trunc,
                                          Op->getOperand(1), NarrowTy);
    Type *WideTy = TypeInfo.inferScalarType(ExtA);
    Op->setOperand(1, Builder.createWidenCast(ExtOpc, Trunc, WideTy));
    return Op;
  }
 
  // reduce.add(abs(sub(ext(A), ext(B))))
  // -> reduce.add(ext(absolute-difference(A, B)))
  VPValue *X, *Y;
  if (match(Op, m_WidenIntrinsic<Intrinsic::abs>(m_Sub(
                    m_ZExtOrSExt(m_VPValue(X)), m_ZExtOrSExt(m_VPValue(Y)))))) {
    auto *Sub = Op->getOperand(0)->getDefiningRecipe();
    auto *Ext = cast<VPWidenCastRecipe>(Sub->getOperand(0));
    assert(Ext->getOpcode() ==
               cast<VPWidenCastRecipe>(Sub->getOperand(1))->getOpcode() &&
           "Expected both the LHS and RHS extends to be the same");
    bool IsSigned = Ext->getOpcode() == Instruction::SExt;
    VPBuilder Builder(Op);
    Type *SrcTy = TypeInfo.inferScalarType(X);
    auto *FreezeX = Builder.insert(new VPWidenRecipe(Instruction::Freeze, {X}));
    auto *FreezeY = Builder.insert(new VPWidenRecipe(Instruction::Freeze, {Y}));
    auto *Max = Builder.insert(
        new VPWidenIntrinsicRecipe(IsSigned ? Intrinsic::smax : Intrinsic::umax,
                                   {FreezeX, FreezeY}, SrcTy));
    auto *Min = Builder.insert(
        new VPWidenIntrinsicRecipe(IsSigned ? Intrinsic::smin : Intrinsic::umin,
                                   {FreezeX, FreezeY}, SrcTy));
    auto *AbsDiff =
        Builder.insert(new VPWidenRecipe(Instruction::Sub, {Max, Min}));
    return Builder.createWidenCast(Instruction::CastOps::ZExt, AbsDiff,
                                   TypeInfo.inferScalarType(Op));
  }
 
  // reduce.add(ext(mul(ext(A), ext(B))))
  // -> reduce.add(mul(wider_ext(A), wider_ext(B)))
  // TODO: Support this optimization for float types.
  if (match(Op, m_ZExtOrSExt(m_Mul(m_ZExtOrSExt(m_VPValue()),
                                   m_ZExtOrSExt(m_VPValue()))))) {
    auto *Ext = cast<VPWidenCastRecipe>(Op);
    auto *Mul = cast<VPWidenRecipe>(Ext->getOperand(0));
    auto *MulLHS = cast<VPWidenCastRecipe>(Mul->getOperand(0));
    auto *MulRHS = cast<VPWidenCastRecipe>(Mul->getOperand(1));
    if (!Mul->hasOneUse() ||
        (Ext->getOpcode() != MulLHS->getOpcode() && MulLHS != MulRHS) ||
        MulLHS->getOpcode() != MulRHS->getOpcode())
      return Op;
    VPBuilder Builder(Mul);
    Mul->setOperand(0, Builder.createWidenCast(MulLHS->getOpcode(),
                                               MulLHS->getOperand(0),
                                               Ext->getResultType()));
    Mul->setOperand(1, MulLHS == MulRHS
                           ? Mul->getOperand(0)
                           : Builder.createWidenCast(MulRHS->getOpcode(),
                                                     MulRHS->getOperand(0),
                                                     Ext->getResultType()));
    return Mul;
  }
 
  return Op;
}
 
// Helper to transform a partial reduction chain into a partial reduction
// recipe. Assumes profitability has been checked.
static void transformToPartialReduction(const VPPartialReductionChain &Chain,
                                        VPTypeAnalysis &TypeInfo, VPlan &Plan,
                                        VPReductionPHIRecipe *RdxPhi) {
  VPWidenRecipe *WidenRecipe = Chain.ReductionBinOp;
  assert(WidenRecipe->getNumOperands() == 2 && "Expected binary operation");
 
  VPValue *Accumulator = WidenRecipe->getOperand(Chain.AccumulatorOpIdx);
  auto *ExtendedOp = cast<VPSingleDefRecipe>(
      WidenRecipe->getOperand(1 - Chain.AccumulatorOpIdx));
 
  // Sub-reductions can be implemented in two ways:
  // (1) negate the operand in the vector loop (the default way).
  // (2) subtract the reduced value from the init value in the middle block.
  // Both ways keep the reduction itself as an 'add' reduction.
  //
  // The ISD nodes for partial reductions don't support folding the
  // sub/negation into its operands because the following is not a valid
  // transformation:
  //      sub(0, mul(ext(a), ext(b)))
  //   -> mul(ext(a), ext(sub(0, b)))
  //
  // It's therefore better to choose option (2) such that the partial
  // reduction is always positive (starting at '0') and to do a final
  // subtract in the middle block.
  if (WidenRecipe->getOpcode() == Instruction::Sub &&
      Chain.RK != RecurKind::Sub) {
    VPBuilder Builder(WidenRecipe);
    Type *ElemTy = TypeInfo.inferScalarType(ExtendedOp);
    auto *Zero = Plan.getZero(ElemTy);
    auto *NegRecipe =
        new VPWidenRecipe(Instruction::Sub, {Zero, ExtendedOp}, VPIRFlags(),
                          VPIRMetadata(), DebugLoc::getUnknown());
    Builder.insert(NegRecipe);
    ExtendedOp = NegRecipe;
  }
 
  // FIXME: Do these transforms before invoking the cost-model.
  ExtendedOp = optimizeExtendsForPartialReduction(ExtendedOp, TypeInfo);
 
  // Check if WidenRecipe is the final result of the reduction. If so look
  // through selects for predicated reductions.
  VPValue *Cond = nullptr;
  VPValue *ExitValue = cast_or_null<VPInstruction>(vputils::findUserOf(
      WidenRecipe,
      m_Select(m_VPValue(Cond), m_Specific(WidenRecipe), m_Specific(RdxPhi))));
  bool IsLastInChain = RdxPhi->getBackedgeValue() == WidenRecipe ||
                       RdxPhi->getBackedgeValue() == ExitValue;
  assert((!ExitValue || IsLastInChain) &&
         "if we found ExitValue, it must match RdxPhi's backedge value");
 
  Type *PhiType = TypeInfo.inferScalarType(RdxPhi);
  RecurKind RdxKind =
      PhiType->isFloatingPointTy() ? RecurKind::FAdd : RecurKind::Add;
  auto *PartialRed = new VPReductionRecipe(
      RdxKind,
      RdxKind == RecurKind::FAdd ? WidenRecipe->getFastMathFlags()
                                 : FastMathFlags(),
      WidenRecipe->getUnderlyingInstr(), Accumulator, ExtendedOp, Cond,
      RdxUnordered{/*VFScaleFactor=*/Chain.ScaleFactor});
  PartialRed->insertBefore(WidenRecipe);
 
  if (Cond)
    ExitValue->replaceAllUsesWith(PartialRed);
  WidenRecipe->replaceAllUsesWith(PartialRed);
 
  // We only need to update the PHI node once, which is when we find the
  // last reduction in the chain.
  if (!IsLastInChain)
    return;
 
  // Scale the PHI and ReductionStartVector by the VFScaleFactor
  assert(RdxPhi->getVFScaleFactor() == 1 && "scale factor must not be set");
  RdxPhi->setVFScaleFactor(Chain.ScaleFactor);
 
  auto *StartInst = cast<VPInstruction>(RdxPhi->getStartValue());
  assert(StartInst->getOpcode() == VPInstruction::ReductionStartVector);
  auto *NewScaleFactor = Plan.getConstantInt(32, Chain.ScaleFactor);
  StartInst->setOperand(2, NewScaleFactor);
 
  // If this is the last value in a sub-reduction chain, then update the PHI
  // node to start at `0` and update the reduction-result to subtract from
  // the PHI's start value.
  if (Chain.RK != RecurKind::Sub)
    return;
 
  VPValue *OldStartValue = StartInst->getOperand(0);
  StartInst->setOperand(0, StartInst->getOperand(1));
 
  // Replace reduction_result by 'sub (startval, reductionresult)'.
  VPInstruction *RdxResult = vputils::findComputeReductionResult(RdxPhi);
  assert(RdxResult && "Could not find reduction result");
 
  VPBuilder Builder = VPBuilder::getToInsertAfter(RdxResult);
  constexpr unsigned SubOpc = Instruction::BinaryOps::Sub;
  VPInstruction *NewResult = Builder.createNaryOp(
      SubOpc, {OldStartValue, RdxResult}, VPIRFlags::getDefaultFlags(SubOpc),
      RdxPhi->getDebugLoc());
  RdxResult->replaceUsesWithIf(
      NewResult,
      [&NewResult](VPUser &U, unsigned Idx) { return &U != NewResult; });
}
 
/// Returns the cost of a link in a partial-reduction chain for a given VF.
static InstructionCost
getPartialReductionLinkCost(VPCostContext &CostCtx,
                            const VPPartialReductionChain &Link,
                            ElementCount VF) {
  Type *RdxType = CostCtx.Types.inferScalarType(Link.ReductionBinOp);
  const ExtendedReductionOperand &ExtendedOp = Link.ExtendedOp;
  std::optional<unsigned> BinOpc = std::nullopt;
  // If ExtendB is not none, then the "ExtendsUser" is the binary operation.
  if (ExtendedOp.ExtendB.Kind != ExtendKind::PR_None)
    BinOpc = ExtendedOp.ExtendsUser->getOpcode();
 
  std::optional<llvm::FastMathFlags> Flags;
  if (RdxType->isFloatingPointTy())
    Flags = Link.ReductionBinOp->getFastMathFlags();
 
  unsigned Opcode = Link.RK == RecurKind::Sub
                        ? (unsigned)Instruction::Add
                        : Link.ReductionBinOp->getOpcode();
  return CostCtx.TTI.getPartialReductionCost(
      Opcode, ExtendedOp.ExtendA.SrcType, ExtendedOp.ExtendB.SrcType, RdxType,
      VF, ExtendedOp.ExtendA.Kind, ExtendedOp.ExtendB.Kind, BinOpc,
      CostCtx.CostKind, Flags);
}
 
static ExtendKind getPartialReductionExtendKind(VPWidenCastRecipe *Cast) {
  return TTI::getPartialReductionExtendKind(Cast->getOpcode());
}
 
/// Checks if \p Op (which is an operand of \p UpdateR) is an extended reduction
/// operand. This is an operand where the source of the value (e.g. a load) has
/// been extended (sext, zext, or fpext) before it is used in the reduction.
///
/// Possible forms matched by this function:
///  - UpdateR(PrevValue, ext(...))
///  - UpdateR(PrevValue, BinOp(ext(...), ext(...)))
///  - UpdateR(PrevValue, BinOp(ext(...), Constant))
///  - UpdateR(PrevValue, neg(BinOp(ext(...), ext(...))))
///  - UpdateR(PrevValue, neg(BinOp(ext(...), Constant)))
///  - UpdateR(PrevValue, ext(mul(ext(...), ext(...))))
///  - UpdateR(PrevValue, ext(mul(ext(...), Constant)))
///  - UpdateR(PrevValue, abs(sub(ext(...), ext(...)))
///
/// Note: The second operand of UpdateR corresponds to \p Op in the examples.
static std::optional<ExtendedReductionOperand>
matchExtendedReductionOperand(VPWidenRecipe *UpdateR, VPValue *Op,
                              VPTypeAnalysis &TypeInfo) {
  assert(is_contained(UpdateR->operands(), Op) &&
         "Op should be operand of UpdateR");
 
  // Try matching an absolute difference operand of the form
  // `abs(sub(ext(A), ext(B)))`. This will be later transformed into
  // `ext(absolute-difference(A, B))`. This allows us to perform the absolute
  // difference on a wider type and get the extend for "free" from the partial
  // reduction.
  VPValue *X, *Y;
  if (Op->hasOneUse() &&
      match(Op, m_WidenIntrinsic<Intrinsic::abs>(
                    m_OneUse(m_Sub(m_WidenAnyExtend(m_VPValue(X)),
                                   m_WidenAnyExtend(m_VPValue(Y))))))) {
    auto *Abs = cast<VPWidenIntrinsicRecipe>(Op);
    auto *Sub = cast<VPWidenRecipe>(Abs->getOperand(0));
    auto *LHSExt = cast<VPWidenCastRecipe>(Sub->getOperand(0));
    auto *RHSExt = cast<VPWidenCastRecipe>(Sub->getOperand(1));
    Type *LHSInputType = TypeInfo.inferScalarType(X);
    Type *RHSInputType = TypeInfo.inferScalarType(Y);
    if (LHSInputType != RHSInputType ||
        LHSExt->getOpcode() != RHSExt->getOpcode())
      return std::nullopt;
    // Note: This is essentially the same as matching ext(...) as we will
    // rewrite this operand to ext(absolute-difference(A, B)).
    return ExtendedReductionOperand{
        Sub,
        /*ExtendA=*/{LHSInputType, getPartialReductionExtendKind(LHSExt)},
        /*ExtendB=*/{}};
  }
 
  std::optional<TTI::PartialReductionExtendKind> OuterExtKind;
  if (match(Op, m_WidenAnyExtend(m_VPValue()))) {
    auto *CastRecipe = cast<VPWidenCastRecipe>(Op);
    VPValue *CastSource = CastRecipe->getOperand(0);
    OuterExtKind = getPartialReductionExtendKind(CastRecipe);
    if (match(CastSource, m_Mul(m_VPValue(), m_VPValue())) ||
        match(CastSource, m_FMul(m_VPValue(), m_VPValue()))) {
      // Match: ext(mul(...))
      // Record the outer extend kind and set `Op` to the mul. We can then match
      // this as a binary operation. Note: We can optimize out the outer extend
      // by widening the inner extends to match it. See
      // optimizeExtendsForPartialReduction.
      Op = CastSource;
    } else if (UpdateR->getOpcode() == Instruction::Add ||
               UpdateR->getOpcode() == Instruction::FAdd) {
      // Match: UpdateR(PrevValue, ext(...))
      // TODO: Remove the add/fadd restriction (we should be able to handle this
      // case for sub reductions too).
      return ExtendedReductionOperand{
          UpdateR,
          /*ExtendA=*/{TypeInfo.inferScalarType(CastSource), *OuterExtKind},
          /*ExtendB=*/{}};
    }
  }
 
  if (!Op->hasOneUse())
    return std::nullopt;
 
  // Handle neg(...) pattern (aka sub(0, ...)).
  VPValue *NegatedOp = nullptr;
  if (match(Op, m_Sub(m_ZeroInt(), m_VPValue(NegatedOp))))
    Op = NegatedOp;
 
  VPWidenRecipe *BinOp = dyn_cast<VPWidenRecipe>(Op);
  if (!BinOp || !Instruction::isBinaryOp(BinOp->getOpcode()))
    return std::nullopt;
 
  // The rest of the matching assumes `Op` is a (possibly extended/negated)
  // binary operation.
 
  VPValue *LHS = BinOp->getOperand(0);
  VPValue *RHS = BinOp->getOperand(1);
 
  // The LHS of the operation must always be an extend.
  if (!match(LHS, m_WidenAnyExtend(m_VPValue())))
    return std::nullopt;
 
  auto *LHSCast = cast<VPWidenCastRecipe>(LHS);
  Type *LHSInputType = TypeInfo.inferScalarType(LHSCast->getOperand(0));
  ExtendKind LHSExtendKind = getPartialReductionExtendKind(LHSCast);
 
  // The RHS of the operation can be an extend or a constant integer.
  const APInt *RHSConst = nullptr;
  VPWidenCastRecipe *RHSCast = nullptr;
  if (match(RHS, m_WidenAnyExtend(m_VPValue())))
    RHSCast = cast<VPWidenCastRecipe>(RHS);
  else if (!match(RHS, m_APInt(RHSConst)) ||
           !canConstantBeExtended(RHSConst, LHSInputType, LHSExtendKind))
    return std::nullopt;
 
  // The outer extend kind must match the inner extends for folding.
  for (VPWidenCastRecipe *Cast : {LHSCast, RHSCast})
    if (Cast && OuterExtKind &&
        getPartialReductionExtendKind(Cast) != OuterExtKind)
      return std::nullopt;
 
  Type *RHSInputType = LHSInputType;
  ExtendKind RHSExtendKind = LHSExtendKind;
  if (RHSCast) {
    RHSInputType = TypeInfo.inferScalarType(RHSCast->getOperand(0));
    RHSExtendKind = getPartialReductionExtendKind(RHSCast);
  }
 
  return ExtendedReductionOperand{
      BinOp, {LHSInputType, LHSExtendKind}, {RHSInputType, RHSExtendKind}};
}
 
/// Examines each operation in the reduction chain corresponding to \p RedPhiR,
/// and determines if the target can use a cheaper operation with a wider
/// per-iteration input VF and narrower PHI VF. If successful, returns the chain
/// of operations in the reduction.
static std::optional<SmallVector<VPPartialReductionChain>>
getScaledReductions(VPReductionPHIRecipe *RedPhiR, VPCostContext &CostCtx,
                    VFRange &Range) {
  // Get the backedge value from the reduction PHI and find the
  // ComputeReductionResult that uses it (directly or through a select for
  // predicated reductions).
  auto *RdxResult = vputils::findComputeReductionResult(RedPhiR);
  if (!RdxResult)
    return std::nullopt;
  VPValue *ExitValue = RdxResult->getOperand(0);
  match(ExitValue, m_Select(m_VPValue(), m_VPValue(ExitValue), m_VPValue()));
 
  VPTypeAnalysis &TypeInfo = CostCtx.Types;
  SmallVector<VPPartialReductionChain> Chain;
  RecurKind RK = RedPhiR->getRecurrenceKind();
  Type *PhiType = TypeInfo.inferScalarType(RedPhiR);
  TypeSize PHISize = PhiType->getPrimitiveSizeInBits();
 
  // Work backwards from the ExitValue examining each reduction operation.
  VPValue *CurrentValue = ExitValue;
  while (CurrentValue != RedPhiR) {
    auto *UpdateR = dyn_cast<VPWidenRecipe>(CurrentValue);
    if (!UpdateR || !Instruction::isBinaryOp(UpdateR->getOpcode()))
      return std::nullopt;
 
    VPValue *Op = UpdateR->getOperand(1);
    VPValue *PrevValue = UpdateR->getOperand(0);
 
    // Find the extended operand. The other operand (PrevValue) is the next link
    // in the reduction chain.
    std::optional<ExtendedReductionOperand> ExtendedOp =
        matchExtendedReductionOperand(UpdateR, Op, TypeInfo);
    if (!ExtendedOp) {
      ExtendedOp = matchExtendedReductionOperand(UpdateR, PrevValue, TypeInfo);
      if (!ExtendedOp)
        return std::nullopt;
      std::swap(Op, PrevValue);
    }
 
    Type *ExtSrcType = ExtendedOp->ExtendA.SrcType;
    TypeSize ExtSrcSize = ExtSrcType->getPrimitiveSizeInBits();
    if (!PHISize.hasKnownScalarFactor(ExtSrcSize))
      return std::nullopt;
 
    // Check if a partial reduction chain is supported by the target (i.e. does
    // not have an invalid cost) for the given VF range. Clamps the range and
    // returns true if feasible for any VF.
    VPPartialReductionChain Link(
        {UpdateR, *ExtendedOp, RK,
         PrevValue == UpdateR->getOperand(0) ? 0U : 1U,
         static_cast<unsigned>(PHISize.getKnownScalarFactor(ExtSrcSize))});
    Chain.push_back(Link);
    CurrentValue = PrevValue;
  }
 
  // The chain links were collected by traversing backwards from the exit value.
  // Reverse the chains so they are in program order.
  std::reverse(Chain.begin(), Chain.end());
  return Chain;
}
} // namespace
 
void VPlanTransforms::createPartialReductions(VPlan &Plan,
                                              VPCostContext &CostCtx,
                                              VFRange &Range) {
  // Find all possible valid partial reductions, grouping chains by their PHI.
  // This grouping allows invalidating the whole chain, if any link is not a
  // valid partial reduction.
  MapVector<VPReductionPHIRecipe *, SmallVector<VPPartialReductionChain>>
      ChainsByPhi;
  VPBasicBlock *HeaderVPBB = Plan.getVectorLoopRegion()->getEntryBasicBlock();
  for (VPRecipeBase &R : HeaderVPBB->phis()) {
    auto *RedPhiR = dyn_cast<VPReductionPHIRecipe>(&R);
    if (!RedPhiR)
      continue;
 
    if (auto Chains = getScaledReductions(RedPhiR, CostCtx, Range))
      ChainsByPhi.try_emplace(RedPhiR, std::move(*Chains));
  }
 
  if (ChainsByPhi.empty())
    return;
 
  // Build set of partial reduction operations for extend user validation and
  // a map of reduction bin ops to their scale factors for scale validation.
  SmallPtrSet<VPRecipeBase *, 4> PartialReductionOps;
  DenseMap<VPSingleDefRecipe *, unsigned> ScaledReductionMap;
  for (const auto &[_, Chains] : ChainsByPhi)
    for (const VPPartialReductionChain &Chain : Chains) {
      PartialReductionOps.insert(Chain.ExtendedOp.ExtendsUser);
      ScaledReductionMap[Chain.ReductionBinOp] = Chain.ScaleFactor;
    }
 
  // A partial reduction is invalid if any of its extends are used by
  // something that isn't another partial reduction. This is because the
  // extends are intended to be lowered along with the reduction itself.
  auto ExtendUsersValid = [&](VPValue *Ext) {
    return !isa<VPWidenCastRecipe>(Ext) || all_of(Ext->users(), [&](VPUser *U) {
      return PartialReductionOps.contains(cast<VPRecipeBase>(U));
    });
  };
 
  auto IsProfitablePartialReductionChainForVF =
      [&](ArrayRef<VPPartialReductionChain> Chain, ElementCount VF) -> bool {
    InstructionCost PartialCost = 0, RegularCost = 0;
 
    // The chain is a profitable partial reduction chain if the cost of handling
    // the entire chain is cheaper when using partial reductions than when
    // handling the entire chain using regular reductions.
    for (const VPPartialReductionChain &Link : Chain) {
      const ExtendedReductionOperand &ExtendedOp = Link.ExtendedOp;
      InstructionCost LinkCost = getPartialReductionLinkCost(CostCtx, Link, VF);
      if (!LinkCost.isValid())
        return false;
 
      PartialCost += LinkCost;
      RegularCost += Link.ReductionBinOp->computeCost(VF, CostCtx);
      // If ExtendB is not none, then the "ExtendsUser" is the binary operation.
      if (ExtendedOp.ExtendB.Kind != ExtendKind::PR_None)
        RegularCost += ExtendedOp.ExtendsUser->computeCost(VF, CostCtx);
      for (VPValue *Op : ExtendedOp.ExtendsUser->operands())
        if (auto *Extend = dyn_cast<VPWidenCastRecipe>(Op))
          RegularCost += Extend->computeCost(VF, CostCtx);
    }
    return PartialCost.isValid() && PartialCost <= RegularCost;
  };
 
  // Validate chains: check that extends are only used by partial reductions,
  // and that reduction bin ops are only used by other partial reductions with
  // matching scale factors, are outside the loop region or the select
  // introduced by tail-folding. Otherwise we would create users of scaled
  // reductions where the types of the other operands don't match.
  for (auto &[RedPhiR, Chains] : ChainsByPhi) {
    for (const VPPartialReductionChain &Chain : Chains) {
      if (!all_of(Chain.ExtendedOp.ExtendsUser->operands(), ExtendUsersValid)) {
        Chains.clear();
        break;
      }
      auto UseIsValid = [&, RedPhiR = RedPhiR](VPUser *U) {
        if (auto *PhiR = dyn_cast<VPReductionPHIRecipe>(U))
          return PhiR == RedPhiR;
        auto *R = cast<VPSingleDefRecipe>(U);
        return Chain.ScaleFactor == ScaledReductionMap.lookup_or(R, 0) ||
               match(R, m_ComputeReductionResult(
                            m_Specific(Chain.ReductionBinOp))) ||
               match(R, m_Select(m_VPValue(), m_Specific(Chain.ReductionBinOp),
                                 m_Specific(RedPhiR)));
      };
      if (!all_of(Chain.ReductionBinOp->users(), UseIsValid)) {
        Chains.clear();
        break;
      }
 
      // Check if the compute-reduction-result is used by a sunk store.
      // TODO: Also form partial reductions in those cases.
      if (auto *RdxResult = vputils::findComputeReductionResult(RedPhiR)) {
        if (any_of(RdxResult->users(), [](VPUser *U) {
              auto *RepR = dyn_cast<VPReplicateRecipe>(U);
              return RepR && isa<StoreInst>(RepR->getUnderlyingInstr());
            })) {
          Chains.clear();
          break;
        }
      }
    }
 
    // Clear the chain if it is not profitable.
    if (!LoopVectorizationPlanner::getDecisionAndClampRange(
            [&, &Chains = Chains](ElementCount VF) {
              return IsProfitablePartialReductionChainForVF(Chains, VF);
            },
            Range))
      Chains.clear();
  }
 
  for (auto &[Phi, Chains] : ChainsByPhi)
    for (const VPPartialReductionChain &Chain : Chains)
      transformToPartialReduction(Chain, CostCtx.Types, Plan, Phi);
}
 
void VPlanTransforms::makeMemOpWideningDecisions(
    VPlan &Plan, VFRange &Range, VPRecipeBuilder &RecipeBuilder) {
  // Collect all loads/stores first. We will start with ones having simpler
  // decisions followed by more complex ones that are potentially
  // guided/dependent on the simpler ones.
  SmallVector<VPInstruction *> MemOps;
  for (VPBasicBlock *VPBB :
       VPBlockUtils::blocksOnly<VPBasicBlock>(vp_depth_first_shallow(
           Plan.getVectorLoopRegion()->getEntryBasicBlock()))) {
    for (VPRecipeBase &R : *VPBB) {
      auto *VPI = dyn_cast<VPInstruction>(&R);
      if (VPI && VPI->getUnderlyingValue() &&
          is_contained({Instruction::Load, Instruction::Store},
                       VPI->getOpcode()))
        MemOps.push_back(VPI);
    }
  }
 
  VPBasicBlock *MiddleVPBB = Plan.getMiddleBlock();
  VPBuilder FinalRedStoresBuilder(MiddleVPBB, MiddleVPBB->getFirstNonPhi());
 
  for (VPInstruction *VPI : MemOps) {
    auto ReplaceWith = [&](VPRecipeBase *New) {
      RecipeBuilder.setRecipe(cast<Instruction>(VPI->getUnderlyingValue()),
                              New);
      New->insertBefore(VPI);
      if (VPI->getOpcode() == Instruction::Load)
        VPI->replaceAllUsesWith(New->getVPSingleValue());
      VPI->eraseFromParent();
    };
 
    // Note: we must do that for scalar VPlan as well.
    if (RecipeBuilder.replaceWithFinalIfReductionStore(VPI,
                                                       FinalRedStoresBuilder))
      continue;
 
    // Filter out scalar VPlan for the remaining memory operations.
    if (LoopVectorizationPlanner::getDecisionAndClampRange(
            [](ElementCount VF) { return VF.isScalar(); }, Range))
      continue;
 
    if (VPHistogramRecipe *Histogram = RecipeBuilder.widenIfHistogram(VPI)) {
      ReplaceWith(Histogram);
      continue;
    }
 
    VPRecipeBase *Recipe = RecipeBuilder.tryToWidenMemory(VPI, Range);
    if (!Recipe)
      Recipe = RecipeBuilder.handleReplication(VPI, Range);
 
    ReplaceWith(Recipe);
  }
}