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 "VPlanAnalysis.h"
#include "VPlanCFG.h"
#include "VPlanDominatorTree.h"
#include "VPlanPatternMatch.h"
#include "llvm/ADT/PostOrderIterator.h"
#include "llvm/ADT/STLExtras.h"
#include "llvm/ADT/SetVector.h"
#include "llvm/Analysis/IVDescriptors.h"
#include "llvm/Analysis/VectorUtils.h"
#include "llvm/IR/Intrinsics.h"
#include "llvm/IR/PatternMatch.h"
 
using namespace llvm;
 
void VPlanTransforms::VPInstructionsToVPRecipes(
    VPlanPtr &Plan,
    function_ref<const InductionDescriptor *(PHINode *)>
        GetIntOrFpInductionDescriptor,
    ScalarEvolution &SE, const TargetLibraryInfo &TLI) {
 
  ReversePostOrderTraversal<VPBlockDeepTraversalWrapper<VPBlockBase *>> RPOT(
      Plan->getEntry());
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(RPOT)) {
    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();
      Instruction *Inst = cast<Instruction>(VPV->getUnderlyingValue());
 
      VPRecipeBase *NewRecipe = nullptr;
      if (auto *VPPhi = dyn_cast<VPWidenPHIRecipe>(&Ingredient)) {
        auto *Phi = cast<PHINode>(VPPhi->getUnderlyingValue());
        const auto *II = GetIntOrFpInductionDescriptor(Phi);
        if (!II)
          continue;
 
        VPValue *Start = Plan->getOrAddLiveIn(II->getStartValue());
        VPValue *Step =
            vputils::getOrCreateVPValueForSCEVExpr(*Plan, II->getStep(), SE);
        NewRecipe = new VPWidenIntOrFpInductionRecipe(Phi, Start, Step, *II);
      } else {
        assert(isa<VPInstruction>(&Ingredient) &&
               "only VPInstructions expected here");
        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*/, false /*Reverse*/,
              Ingredient.getDebugLoc());
        } else if (StoreInst *Store = dyn_cast<StoreInst>(Inst)) {
          NewRecipe = new VPWidenStoreRecipe(
              *Store, Ingredient.getOperand(1), Ingredient.getOperand(0),
              nullptr /*Mask*/, false /*Consecutive*/, false /*Reverse*/,
              Ingredient.getDebugLoc());
        } else if (GetElementPtrInst *GEP = dyn_cast<GetElementPtrInst>(Inst)) {
          NewRecipe = new VPWidenGEPRecipe(GEP, Ingredient.operands());
        } else if (CallInst *CI = dyn_cast<CallInst>(Inst)) {
          NewRecipe = new VPWidenCallRecipe(
              *CI, drop_end(Ingredient.operands()),
              getVectorIntrinsicIDForCall(CI, &TLI), CI->getDebugLoc());
        } else if (SelectInst *SI = dyn_cast<SelectInst>(Inst)) {
          NewRecipe = new VPWidenSelectRecipe(*SI, Ingredient.operands());
        } else if (auto *CI = dyn_cast<CastInst>(Inst)) {
          NewRecipe = new VPWidenCastRecipe(
              CI->getOpcode(), Ingredient.getOperand(0), CI->getType(), *CI);
        } else {
          NewRecipe = new VPWidenRecipe(*Inst, Ingredient.operands());
        }
      }
 
      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();
    }
  }
}
 
static bool sinkScalarOperands(VPlan &Plan) {
  auto Iter = vp_depth_first_deep(Plan.getEntry());
  bool Changed = false;
  // First, collect the operands of all recipes in replicate blocks as seeds for
  // sinking.
  SetVector<std::pair<VPBasicBlock *, VPSingleDefRecipe *>> WorkList;
  for (VPRegionBlock *VPR : VPBlockUtils::blocksOnly<VPRegionBlock>(Iter)) {
    VPBasicBlock *EntryVPBB = VPR->getEntryBasicBlock();
    if (!VPR->isReplicator() || EntryVPBB->getSuccessors().size() != 2)
      continue;
    VPBasicBlock *VPBB = dyn_cast<VPBasicBlock>(EntryVPBB->getSuccessors()[0]);
    if (!VPBB || VPBB->getSingleSuccessor() != VPR->getExitingBasicBlock())
      continue;
    for (auto &Recipe : *VPBB) {
      for (VPValue *Op : Recipe.operands())
        if (auto *Def =
                dyn_cast_or_null<VPSingleDefRecipe>(Op->getDefiningRecipe()))
          WorkList.insert(std::make_pair(VPBB, Def));
    }
  }
 
  bool ScalarVFOnly = Plan.hasScalarVFOnly();
  // 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];
    if (SinkCandidate->getParent() == SinkTo ||
        SinkCandidate->mayHaveSideEffects() ||
        SinkCandidate->mayReadOrWriteMemory())
      continue;
    if (auto *RepR = dyn_cast<VPReplicateRecipe>(SinkCandidate)) {
      if (!ScalarVFOnly && RepR->isUniform())
        continue;
    } else if (!isa<VPScalarIVStepsRecipe>(SinkCandidate))
      continue;
 
    bool NeedsDuplicating = false;
    // All recipe users of the sink candidate must be in the same block SinkTo
    // or all users outside of SinkTo must be uniform-after-vectorization (
    // i.e., only first lane is used) . In the latter case, we need to duplicate
    // SinkCandidate.
    auto CanSinkWithUser = [SinkTo, &NeedsDuplicating,
                            SinkCandidate](VPUser *U) {
      auto *UI = dyn_cast<VPRecipeBase>(U);
      if (!UI)
        return false;
      if (UI->getParent() == SinkTo)
        return true;
      NeedsDuplicating = UI->onlyFirstLaneUsed(SinkCandidate);
      // We only know how to duplicate VPRecipeRecipes for now.
      return NeedsDuplicating && isa<VPReplicateRecipe>(SinkCandidate);
    };
    if (!all_of(SinkCandidate->users(), CanSinkWithUser))
      continue;
 
    if (NeedsDuplicating) {
      if (ScalarVFOnly)
        continue;
      Instruction *I = SinkCandidate->getUnderlyingInstr();
      auto *Clone = new VPReplicateRecipe(I, SinkCandidate->operands(), true);
      // TODO: add ".cloned" suffix to name of Clone's VPValue.
 
      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())
      if (auto *Def =
              dyn_cast_or_null<VPSingleDefRecipe>(Op->getDefiningRecipe()))
        WorkList.insert(std::make_pair(SinkTo, Def));
    Changed = true;
  }
  return Changed;
}
 
/// If \p R is a region with a VPBranchOnMaskRecipe in the entry block, return
/// the mask.
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) {
  SetVector<VPRegionBlock *> DeletedRegions;
 
  // 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 (DeletedRegions.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) {
        auto *UI = dyn_cast<VPRecipeBase>(&U);
        return UI && UI->getParent() == Then2;
      });
 
      Phi1ToMove.moveBefore(*Merge2, Merge2->begin());
    }
 
    // 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);
    DeletedRegions.insert(Region1);
  }
 
  for (VPRegionBlock *ToDelete : DeletedRegions)
    delete ToDelete;
  return !DeletedRegions.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 *BOMRecipe = new VPBranchOnMaskRecipe(BlockInMask);
  auto *Entry = new VPBasicBlock(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(),
      make_range(PredRecipe->op_begin(), std::prev(PredRecipe->op_end())),
      PredRecipe->isUniform());
  auto *Pred = new VPBasicBlock(Twine(RegionName) + ".if", RecipeWithoutMask);
 
  VPPredInstPHIRecipe *PHIRecipe = nullptr;
  if (PredRecipe->getNumUsers() != 0) {
    PHIRecipe = new VPPredInstPHIRecipe(RecipeWithoutMask);
    PredRecipe->replaceAllUsesWith(PHIRecipe);
    PHIRecipe->setOperand(0, RecipeWithoutMask);
  }
  PredRecipe->eraseFromParent();
  auto *Exiting = new VPBasicBlock(Twine(RegionName) + ".continue", PHIRecipe);
  VPRegionBlock *Region = new VPRegionBlock(Entry, Exiting, RegionName, true);
 
  // 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.
    VPBlockBase *Region = createReplicateRegion(RepR, Plan);
    Region->setParent(CurrentBlock->getParent());
    VPBlockUtils::disconnectBlocks(CurrentBlock, SplitBlock);
    VPBlockUtils::connectBlocks(CurrentBlock, Region);
    VPBlockUtils::connectBlocks(Region, SplitBlock);
  }
}
 
/// Remove redundant VPBasicBlocks by merging them into their predecessor if
/// the predecessor has a single successor.
static bool mergeBlocksIntoPredecessors(VPlan &Plan) {
  SmallVector<VPBasicBlock *> WorkList;
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(
           vp_depth_first_deep(Plan.getEntry()))) {
    auto *PredVPBB =
        dyn_cast_or_null<VPBasicBlock>(VPBB->getSinglePredecessor());
    if (PredVPBB && PredVPBB->getNumSuccessors() == 1)
      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 = cast_or_null<VPRegionBlock>(VPBB->getParent());
    if (ParentRegion && ParentRegion->getExiting() == VPBB)
      ParentRegion->setExiting(PredVPBB);
    for (auto *Succ : to_vector(VPBB->successors())) {
      VPBlockUtils::disconnectBlocks(VPBB, Succ);
      VPBlockUtils::connectBlocks(PredVPBB, Succ);
    }
    delete VPBB;
  }
  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.
    auto &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) {
  VPCanonicalIVPHIRecipe *CanonicalIV = Plan.getCanonicalIV();
  VPWidenCanonicalIVRecipe *WidenNewIV = nullptr;
  for (VPUser *U : CanonicalIV->users()) {
    WidenNewIV = dyn_cast<VPWidenCanonicalIVRecipe>(U);
    if (WidenNewIV)
      break;
  }
 
  if (!WidenNewIV)
    return;
 
  VPBasicBlock *HeaderVPBB = Plan.getVectorLoopRegion()->getEntryBasicBlock();
  for (VPRecipeBase &Phi : HeaderVPBB->phis()) {
    auto *WidenOriginalIV = dyn_cast<VPWidenIntOrFpInductionRecipe>(&Phi);
 
    if (!WidenOriginalIV || !WidenOriginalIV->isCanonical() ||
        WidenOriginalIV->getScalarType() != WidenNewIV->getScalarType())
      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 (any_of(WidenOriginalIV->users(),
               [WidenOriginalIV](VPUser *U) {
                 return !U->usesScalars(WidenOriginalIV);
               }) ||
        vputils::onlyFirstLaneUsed(WidenNewIV)) {
      WidenNewIV->replaceAllUsesWith(WidenOriginalIV);
      WidenNewIV->eraseFromParent();
      return;
    }
  }
}
 
/// Returns true if \p R is dead and can be removed.
static bool isDeadRecipe(VPRecipeBase &R) {
  using namespace llvm::PatternMatch;
  // Do remove conditional assume instructions as their conditions may be
  // flattened.
  auto *RepR = dyn_cast<VPReplicateRecipe>(&R);
  bool IsConditionalAssume =
      RepR && RepR->isPredicated() &&
      match(RepR->getUnderlyingInstr(), 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; });
}
 
static void removeDeadRecipes(VPlan &Plan) {
  ReversePostOrderTraversal<VPBlockDeepTraversalWrapper<VPBlockBase *>> RPOT(
      Plan.getEntry());
 
  for (VPBasicBlock *VPBB : reverse(VPBlockUtils::blocksOnly<VPBasicBlock>(RPOT))) {
    // 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();
    }
  }
}
 
static VPValue *createScalarIVSteps(VPlan &Plan,
                                    InductionDescriptor::InductionKind Kind,
                                    Instruction::BinaryOps InductionOpcode,
                                    FPMathOperator *FPBinOp,
                                    ScalarEvolution &SE, Instruction *TruncI,
                                    VPValue *StartV, VPValue *Step,
                                    VPBasicBlock::iterator IP) {
  VPBasicBlock *HeaderVPBB = Plan.getVectorLoopRegion()->getEntryBasicBlock();
  VPCanonicalIVPHIRecipe *CanonicalIV = Plan.getCanonicalIV();
  VPSingleDefRecipe *BaseIV = CanonicalIV;
  if (!CanonicalIV->isCanonical(Kind, StartV, Step)) {
    BaseIV = new VPDerivedIVRecipe(Kind, FPBinOp, StartV, CanonicalIV, Step);
    HeaderVPBB->insert(BaseIV, IP);
  }
 
  // Truncate base induction if needed.
  VPTypeAnalysis TypeInfo(Plan.getCanonicalIV()->getScalarType(),
                          SE.getContext());
  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 = new VPScalarCastRecipe(Instruction::Trunc, BaseIV, TruncTy);
    HeaderVPBB->insert(BaseIV, IP);
    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");
    Step = new VPScalarCastRecipe(Instruction::Trunc, Step, ResultTy);
    auto *VecPreheader =
        cast<VPBasicBlock>(HeaderVPBB->getSingleHierarchicalPredecessor());
    VecPreheader->appendRecipe(Step->getDefiningRecipe());
  }
 
  VPScalarIVStepsRecipe *Steps = new VPScalarIVStepsRecipe(
      BaseIV, Step, InductionOpcode,
      FPBinOp ? FPBinOp->getFastMathFlags() : FastMathFlags());
  HeaderVPBB->insert(Steps, IP);
  return Steps;
}
 
/// 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). 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, ScalarEvolution &SE) {
  SmallVector<VPRecipeBase *> ToRemove;
  VPBasicBlock *HeaderVPBB = Plan.getVectorLoopRegion()->getEntryBasicBlock();
  bool HasOnlyVectorVFs = !Plan.hasVF(ElementCount::getFixed(1));
  VPBasicBlock::iterator InsertPt = HeaderVPBB->getFirstNonPhi();
  for (VPRecipeBase &Phi : HeaderVPBB->phis()) {
    // Replace wide pointer inductions which have only their scalars used by
    // PtrAdd(IndStart, ScalarIVSteps (0, Step)).
    if (auto *PtrIV = dyn_cast<VPWidenPointerInductionRecipe>(&Phi)) {
      if (!PtrIV->onlyScalarsGenerated(Plan.hasScalableVF()))
        continue;
 
      const InductionDescriptor &ID = PtrIV->getInductionDescriptor();
      VPValue *StartV =
          Plan.getOrAddLiveIn(ConstantInt::get(ID.getStep()->getType(), 0));
      VPValue *StepV = PtrIV->getOperand(1);
      VPRecipeBase *Steps =
          createScalarIVSteps(Plan, InductionDescriptor::IK_IntInduction,
                              Instruction::Add, nullptr, SE, nullptr, StartV,
                              StepV, InsertPt)
              ->getDefiningRecipe();
 
      auto *Recipe =
          new VPInstruction(VPInstruction::PtrAdd,
                            {PtrIV->getStartValue(), Steps->getVPSingleValue()},
                            PtrIV->getDebugLoc(), "next.gep");
 
      Recipe->insertAfter(Steps);
      PtrIV->replaceAllUsesWith(Recipe);
      continue;
    }
 
    // Replace widened induction with scalar steps for users that only use
    // scalars.
    auto *WideIV = dyn_cast<VPWidenIntOrFpInductionRecipe>(&Phi);
    if (!WideIV)
      continue;
    if (HasOnlyVectorVFs && none_of(WideIV->users(), [WideIV](VPUser *U) {
          return U->usesScalars(WideIV);
        }))
      continue;
 
    const InductionDescriptor &ID = WideIV->getInductionDescriptor();
    VPValue *Steps = createScalarIVSteps(
        Plan, ID.getKind(), ID.getInductionOpcode(),
        dyn_cast_or_null<FPMathOperator>(ID.getInductionBinOp()), SE,
        WideIV->getTruncInst(), WideIV->getStartValue(), WideIV->getStepValue(),
        InsertPt);
 
    // Update scalar users of IV to use Step instead.
    if (!HasOnlyVectorVFs)
      WideIV->replaceAllUsesWith(Steps);
    else
      WideIV->replaceUsesWithIf(Steps, [WideIV](VPUser &U, unsigned) {
        return U.usesScalars(WideIV);
      });
  }
}
 
/// 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;
 
    auto I = SCEV2VPV.insert({ExpR->getSCEV(), ExpR});
    if (I.second)
      continue;
    ExpR->replaceAllUsesWith(I.first->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;
    WorkList.append(R->op_begin(), R->op_end());
    R->eraseFromParent();
  }
}
 
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");
  VPBasicBlock *ExitingVPBB =
      Plan.getVectorLoopRegion()->getExitingBasicBlock();
  auto *Term = &ExitingVPBB->back();
  // Try to simplify the branch condition if TC <= VF * UF when preparing to
  // execute the plan for the main vector loop. We only do this if the
  // terminator is:
  //  1. BranchOnCount, or
  //  2. BranchOnCond where the input is Not(ActiveLaneMask).
  using namespace llvm::VPlanPatternMatch;
  if (!match(Term, m_BranchOnCount(m_VPValue(), m_VPValue())) &&
      !match(Term,
             m_BranchOnCond(m_Not(m_ActiveLaneMask(m_VPValue(), m_VPValue())))))
    return;
 
  Type *IdxTy =
      Plan.getCanonicalIV()->getStartValue()->getLiveInIRValue()->getType();
  const SCEV *TripCount = createTripCountSCEV(IdxTy, PSE);
  ScalarEvolution &SE = *PSE.getSE();
  ElementCount NumElements = BestVF.multiplyCoefficientBy(BestUF);
  const SCEV *C = SE.getElementCount(TripCount->getType(), NumElements);
  if (TripCount->isZero() ||
      !SE.isKnownPredicate(CmpInst::ICMP_ULE, TripCount, C))
    return;
 
  LLVMContext &Ctx = SE.getContext();
  auto *BOC =
      new VPInstruction(VPInstruction::BranchOnCond,
                        {Plan.getOrAddLiveIn(ConstantInt::getTrue(Ctx))});
 
  SmallVector<VPValue *> PossiblyDead(Term->operands());
  Term->eraseFromParent();
  for (VPValue *Op : PossiblyDead)
    recursivelyDeleteDeadRecipes(Op);
  ExitingVPBB->appendRecipe(BOC);
  Plan.setVF(BestVF);
  Plan.setUF(BestUF);
  // TODO: Further simplifications are possible
  //      1. Replace inductions with constants.
  //      2. Replace vector loop region with VPBasicBlock.
}
 
#ifndef NDEBUG
static VPRegionBlock *GetReplicateRegion(VPRecipeBase *R) {
  auto *Region = dyn_cast_or_null<VPRegionBlock>(R->getParent()->getParent());
  if (Region && Region->isReplicator()) {
    assert(Region->getNumSuccessors() == 1 &&
           Region->getNumPredecessors() == 1 && "Expected SESE region!");
    assert(R->getParent()->size() == 1 &&
           "A recipe in an original replicator region must be the only "
           "recipe in its block");
    return Region;
  }
  return nullptr;
}
#endif
 
static bool properlyDominates(const VPRecipeBase *A, const VPRecipeBase *B,
                              VPDominatorTree &VPDT) {
  if (A == B)
    return false;
 
  auto LocalComesBefore = [](const VPRecipeBase *A, const VPRecipeBase *B) {
    for (auto &R : *A->getParent()) {
      if (&R == A)
        return true;
      if (&R == B)
        return false;
    }
    llvm_unreachable("recipe not found");
  };
  const VPBlockBase *ParentA = A->getParent();
  const VPBlockBase *ParentB = B->getParent();
  if (ParentA == ParentB)
    return LocalComesBefore(A, B);
 
  assert(!GetReplicateRegion(const_cast<VPRecipeBase *>(A)) &&
         "No replicate regions expected at this point");
  assert(!GetReplicateRegion(const_cast<VPRecipeBase *>(B)) &&
         "No replicate regions expected at this point");
  return VPDT.properlyDominates(ParentA, ParentB);
}
 
/// 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) {
  // 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 ||
        properlyDominates(Previous, SinkCandidate, VPDT))
      return true;
 
    if (SinkCandidate->mayHaveSideEffects())
      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 (auto *R = dyn_cast<VPRecipeBase>(User))
        if (!TryToPushSinkCandidate(R))
          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 properlyDominates(A, B, VPDT);
  });
 
  for (VPRecipeBase *SinkCandidate : WorkList) {
    if (SinkCandidate == FOR)
      continue;
 
    SinkCandidate->moveAfter(Previous);
    Previous = SinkCandidate;
  }
  return true;
}
 
bool VPlanTransforms::adjustFixedOrderRecurrences(VPlan &Plan,
                                                  VPBuilder &Builder) {
  VPDominatorTree VPDT;
  VPDT.recalculate(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))
      return false;
 
    // Introduce a recipe to combine the incoming and previous values of a
    // fixed-order recurrence.
    VPBasicBlock *InsertBlock = Previous->getParent();
    if (isa<VPHeaderPHIRecipe>(Previous))
      Builder.setInsertPoint(InsertBlock, InsertBlock->getFirstNonPhi());
    else
      Builder.setInsertPoint(InsertBlock, std::next(Previous->getIterator()));
 
    auto *RecurSplice = cast<VPInstruction>(
        Builder.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);
  }
  return true;
}
 
static SmallVector<VPUser *> collectUsersRecursively(VPValue *V) {
  SetVector<VPUser *> Users(V->user_begin(), V->user_end());
  for (unsigned I = 0; I != Users.size(); ++I) {
    VPRecipeBase *Cur = dyn_cast<VPRecipeBase>(Users[I]);
    if (!Cur || isa<VPHeaderPHIRecipe>(Cur))
      continue;
    for (VPValue *V : Cur->definedValues())
      Users.insert(V->user_begin(), V->user_end());
  }
  return Users.takeVector();
}
 
void VPlanTransforms::clearReductionWrapFlags(VPlan &Plan) {
  for (VPRecipeBase &R :
       Plan.getVectorLoopRegion()->getEntryBasicBlock()->phis()) {
    auto *PhiR = dyn_cast<VPReductionPHIRecipe>(&R);
    if (!PhiR)
      continue;
    const RecurrenceDescriptor &RdxDesc = PhiR->getRecurrenceDescriptor();
    RecurKind RK = RdxDesc.getRecurrenceKind();
    if (RK != RecurKind::Add && RK != RecurKind::Mul)
      continue;
 
    for (VPUser *U : collectUsersRecursively(PhiR))
      if (auto *RecWithFlags = dyn_cast<VPRecipeWithIRFlags>(U)) {
        RecWithFlags->dropPoisonGeneratingFlags();
      }
  }
}
 
/// Try to simplify recipe \p R.
static void simplifyRecipe(VPRecipeBase &R, VPTypeAnalysis &TypeInfo) {
  using namespace llvm::VPlanPatternMatch;
  // Try to remove redundant blend recipes.
  if (auto *Blend = dyn_cast<VPBlendRecipe>(&R)) {
    VPValue *Inc0 = Blend->getIncomingValue(0);
    for (unsigned I = 1; I != Blend->getNumIncomingValues(); ++I)
      if (Inc0 != Blend->getIncomingValue(I) &&
          !match(Blend->getMask(I), m_False()))
        return;
    Blend->replaceAllUsesWith(Inc0);
    Blend->eraseFromParent();
    return;
  }
 
  VPValue *A;
  if (match(&R, m_Trunc(m_ZExtOrSExt(m_VPValue(A))))) {
    VPValue *Trunc = R.getVPSingleValue();
    Type *TruncTy = TypeInfo.inferScalarType(Trunc);
    Type *ATy = TypeInfo.inferScalarType(A);
    if (TruncTy == ATy) {
      Trunc->replaceAllUsesWith(A);
    } else {
      // Don't replace a scalarizing recipe with a widened cast.
      if (isa<VPReplicateRecipe>(&R))
        return;
      if (ATy->getScalarSizeInBits() < TruncTy->getScalarSizeInBits()) {
 
        unsigned ExtOpcode = match(R.getOperand(0), m_SExt(m_VPValue()))
                                 ? Instruction::SExt
                                 : Instruction::ZExt;
        auto *VPC =
            new VPWidenCastRecipe(Instruction::CastOps(ExtOpcode), A, TruncTy);
        VPC->insertBefore(&R);
        Trunc->replaceAllUsesWith(VPC);
      } else if (ATy->getScalarSizeInBits() > TruncTy->getScalarSizeInBits()) {
        auto *VPC = new VPWidenCastRecipe(Instruction::Trunc, A, TruncTy);
        VPC->insertBefore(&R);
        Trunc->replaceAllUsesWith(VPC);
      }
    }
#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(
        R.getParent()->getPlan()->getCanonicalIV()->getScalarType(),
        TypeInfo.getContext());
    assert(TypeInfo.inferScalarType(A) == TypeInfo2.inferScalarType(A));
    for (VPUser *U : A->users()) {
      auto *R = dyn_cast<VPRecipeBase>(U);
      if (!R)
        continue;
      for (VPValue *VPV : R->definedValues())
        assert(TypeInfo.inferScalarType(VPV) == TypeInfo2.inferScalarType(VPV));
    }
#endif
  }
 
  if (match(&R, m_CombineOr(m_Mul(m_VPValue(A), m_SpecificInt(1)),
                            m_Mul(m_SpecificInt(1), m_VPValue(A)))))
    return R.getVPSingleValue()->replaceAllUsesWith(A);
}
 
/// Try to simplify the recipes in \p Plan.
static void simplifyRecipes(VPlan &Plan, LLVMContext &Ctx) {
  ReversePostOrderTraversal<VPBlockDeepTraversalWrapper<VPBlockBase *>> RPOT(
      Plan.getEntry());
  VPTypeAnalysis TypeInfo(Plan.getCanonicalIV()->getScalarType(), Ctx);
  for (VPBasicBlock *VPBB : VPBlockUtils::blocksOnly<VPBasicBlock>(RPOT)) {
    for (VPRecipeBase &R : make_early_inc_range(*VPBB)) {
      simplifyRecipe(R, TypeInfo);
    }
  }
}
 
void VPlanTransforms::truncateToMinimalBitwidths(
    VPlan &Plan, const MapVector<Instruction *, uint64_t> &MinBWs,
    LLVMContext &Ctx) {
#ifndef NDEBUG
  // Count the processed recipes and cross check the count later with MinBWs
  // size, to make sure all entries in MinBWs have been handled.
  unsigned NumProcessedRecipes = 0;
#endif
  // 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.getCanonicalIV()->getScalarType(), Ctx);
  VPBasicBlock *PH = Plan.getEntry();
  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,
               VPWidenSelectRecipe, VPWidenLoadRecipe>(&R))
        continue;
 
      VPValue *ResultVPV = R.getVPSingleValue();
      auto *UI = cast_or_null<Instruction>(ResultVPV->getUnderlyingValue());
      unsigned NewResSizeInBits = MinBWs.lookup(UI);
      if (!NewResSizeInBits)
        continue;
 
#ifndef NDEBUG
      NumProcessedRecipes++;
#endif
      // 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)) {
#ifndef NDEBUG
        // If any of the operands is a live-in and not used by VPWidenRecipe or
        // VPWidenSelectRecipe, but in MinBWs, make sure it is counted as
        // processed as well. When MinBWs is currently constructed, there is no
        // information about whether recipes are widened or replicated and in
        // case they are reciplicated the operands are not truncated. Counting
        // them them here ensures we do not miss any recipes in MinBWs.
        // TODO: Remove once the analysis is done on VPlan.
        for (VPValue *Op : R.operands()) {
          if (!Op->isLiveIn())
            continue;
          auto *UV = dyn_cast_or_null<Instruction>(Op->getUnderlyingValue());
          if (UV && MinBWs.contains(UV) && !ProcessedTruncs.contains(Op) &&
              all_of(Op->users(), [](VPUser *U) {
                return !isa<VPWidenRecipe, VPWidenSelectRecipe>(U);
              })) {
            // Add an entry to ProcessedTruncs to avoid counting the same
            // operand multiple times.
            ProcessedTruncs[Op] = nullptr;
            NumProcessedRecipes += 1;
          }
        }
#endif
        continue;
      }
 
      Type *OldResTy = TypeInfo.inferScalarType(ResultVPV);
      unsigned OldResSizeInBits = OldResTy->getScalarSizeInBits();
      assert(OldResTy->isIntegerTy() && "only integer types supported");
      (void)OldResSizeInBits;
 
      auto *NewResTy = IntegerType::get(Ctx, 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();
 
      using namespace llvm::VPlanPatternMatch;
      if (OldResSizeInBits != NewResSizeInBits &&
          !match(&R, m_Binary<Instruction::ICmp>(m_VPValue(), m_VPValue()))) {
        // Extend result to original width.
        auto *Ext =
            new VPWidenCastRecipe(Instruction::ZExt, ResultVPV, OldResTy);
        Ext->insertAfter(&R);
        ResultVPV->replaceAllUsesWith(Ext);
        Ext->setOperand(0, ResultVPV);
        assert(OldResSizeInBits > NewResSizeInBits && "Nothing to shrink?");
      } else
        assert(
            match(&R, m_Binary<Instruction::ICmp>(m_VPValue(), m_VPValue())) &&
            "Only ICmps should not need extending the result.");
 
      assert(!isa<VPWidenStoreRecipe>(&R) && "stores cannot be narrowed");
      if (isa<VPWidenLoadRecipe>(&R))
        continue;
 
      // Shrink operands by introducing truncates as needed.
      unsigned StartIdx = isa<VPWidenSelectRecipe>(&R) ? 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.insert({Op, nullptr});
        VPWidenCastRecipe *NewOp =
            IterIsEmpty
                ? new VPWidenCastRecipe(Instruction::Trunc, Op, NewResTy)
                : ProcessedIter->second;
        R.setOperand(Idx, NewOp);
        if (!IterIsEmpty)
          continue;
        ProcessedIter->second = NewOp;
        if (!Op->isLiveIn()) {
          NewOp->insertBefore(&R);
        } else {
          PH->appendRecipe(NewOp);
#ifndef NDEBUG
          auto *OpInst = dyn_cast<Instruction>(Op->getLiveInIRValue());
          bool IsContained = MinBWs.contains(OpInst);
          NumProcessedRecipes += IsContained;
#endif
        }
      }
 
    }
  }
 
  assert(MinBWs.size() == NumProcessedRecipes &&
         "some entries in MinBWs haven't been processed");
}
 
void VPlanTransforms::optimize(VPlan &Plan, ScalarEvolution &SE) {
  removeRedundantCanonicalIVs(Plan);
  removeRedundantInductionCasts(Plan);
 
  simplifyRecipes(Plan, SE.getContext());
  legalizeAndOptimizeInductions(Plan, SE);
  removeDeadRecipes(Plan);
 
  createAndOptimizeReplicateRegions(Plan);
 
  removeRedundantExpandSCEVRecipes(Plan);
  mergeBlocksIntoPredecessors(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 uses the following definitions:
//
//  %TripCount = DataWithControlFlowWithoutRuntimeCheck ?
//    calculate-trip-count-minus-VF (original TC) : original TC
//  %IncrementValue = DataWithControlFlowWithoutRuntimeCheck ?
//     CanonicalIVPhi : CanonicalIVIncrement
//  %StartV is the canonical induction start value.
//
// The function adds the following recipes:
//
// vector.ph:
//   %TripCount = calculate-trip-count-minus-VF (original TC)
//       [if DataWithControlFlowWithoutRuntimeCheck]
//   %EntryInc = canonical-iv-increment-for-part %StartV
//   %EntryALM = active-lane-mask %EntryInc, %TripCount
//
// vector.body:
//   ...
//   %P = active-lane-mask-phi [ %EntryALM, %vector.ph ], [ %ALM, %vector.body ]
//   ...
//   %InLoopInc = canonical-iv-increment-for-part %IncrementValue
//   %ALM = active-lane-mask %InLoopInc, TripCount
//   %Negated = Not %ALM
//   branch-on-cond %Negated
//
static VPActiveLaneMaskPHIRecipe *addVPLaneMaskPhiAndUpdateExitBranch(
    VPlan &Plan, bool DataAndControlFlowWithoutRuntimeCheck) {
  VPRegionBlock *TopRegion = Plan.getVectorLoopRegion();
  VPBasicBlock *EB = TopRegion->getExitingBasicBlock();
  auto *CanonicalIVPHI = Plan.getCanonicalIV();
  VPValue *StartV = CanonicalIVPHI->getStartValue();
 
  auto *CanonicalIVIncrement =
      cast<VPInstruction>(CanonicalIVPHI->getBackedgeValue());
  // TODO: Check if dropping the flags is needed if
  // !DataAndControlFlowWithoutRuntimeCheck.
  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 = cast<VPBasicBlock>(TopRegion->getSinglePredecessor());
  VPBuilder Builder(VecPreheader);
 
  // Create the ActiveLaneMask instruction using the correct start values.
  VPValue *TC = Plan.getTripCount();
 
  VPValue *TripCount, *IncrementValue;
  if (!DataAndControlFlowWithoutRuntimeCheck) {
    // When the loop is guarded by a runtime overflow check for the loop
    // induction variable increment by VF, we can increment the value before
    // the get.active.lane mask and use the unmodified tripcount.
    IncrementValue = CanonicalIVIncrement;
    TripCount = TC;
  } else {
    // When avoiding a runtime check, the active.lane.mask inside the loop
    // uses a modified trip count and the induction variable increment is
    // done after the active.lane.mask intrinsic is called.
    IncrementValue = CanonicalIVPHI;
    TripCount = Builder.createNaryOp(VPInstruction::CalculateTripCountMinusVF,
                                     {TC}, DL);
  }
  auto *EntryIncrement = Builder.createOverflowingOp(
      VPInstruction::CanonicalIVIncrementForPart, {StartV}, {false, false}, DL,
      "index.part.next");
 
  // Create the active lane mask instruction in the VPlan preheader.
  auto *EntryALM =
      Builder.createNaryOp(VPInstruction::ActiveLaneMask, {EntryIncrement, TC},
                           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());
  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,
                                  {IncrementValue}, {false, false}, DL);
  auto *ALM = Builder.createNaryOp(VPInstruction::ActiveLaneMask,
                                   {InLoopIncrement, TripCount}, 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;
}
 
/// Collect all VPValues representing a header mask through the (ICMP_ULE,
/// WideCanonicalIV, backedge-taken-count) pattern.
/// TODO: Introduce explicit recipe for header-mask instead of searching
/// for the header-mask pattern manually.
static SmallVector<VPValue *> collectAllHeaderMasks(VPlan &Plan) {
  SmallVector<VPValue *> WideCanonicalIVs;
  auto *FoundWidenCanonicalIVUser =
      find_if(Plan.getCanonicalIV()->users(),
              [](VPUser *U) { return isa<VPWidenCanonicalIVRecipe>(U); });
  assert(count_if(Plan.getCanonicalIV()->users(),
                  [](VPUser *U) { return isa<VPWidenCanonicalIVRecipe>(U); }) <=
             1 &&
         "Must have at most one VPWideCanonicalIVRecipe");
  if (FoundWidenCanonicalIVUser != Plan.getCanonicalIV()->users().end()) {
    auto *WideCanonicalIV =
        cast<VPWidenCanonicalIVRecipe>(*FoundWidenCanonicalIVUser);
    WideCanonicalIVs.push_back(WideCanonicalIV);
  }
 
  // Also include VPWidenIntOrFpInductionRecipes that represent a widened
  // version of the canonical induction.
  VPBasicBlock *HeaderVPBB = Plan.getVectorLoopRegion()->getEntryBasicBlock();
  for (VPRecipeBase &Phi : HeaderVPBB->phis()) {
    auto *WidenOriginalIV = dyn_cast<VPWidenIntOrFpInductionRecipe>(&Phi);
    if (WidenOriginalIV && WidenOriginalIV->isCanonical())
      WideCanonicalIVs.push_back(WidenOriginalIV);
  }
 
  // Walk users of wide canonical IVs and collect to all compares of the form
  // (ICMP_ULE, WideCanonicalIV, backedge-taken-count).
  SmallVector<VPValue *> HeaderMasks;
  VPValue *BTC = Plan.getOrCreateBackedgeTakenCount();
  for (auto *Wide : WideCanonicalIVs) {
    for (VPUser *U : SmallVector<VPUser *>(Wide->users())) {
      auto *HeaderMask = dyn_cast<VPInstruction>(U);
      if (!HeaderMask || HeaderMask->getOpcode() != Instruction::ICmp ||
          HeaderMask->getPredicate() != CmpInst::ICMP_ULE ||
          HeaderMask->getOperand(1) != BTC)
        continue;
 
      assert(HeaderMask->getOperand(0) == Wide &&
             "WidenCanonicalIV must be the first operand of the compare");
      HeaderMasks.push_back(HeaderMask);
    }
  }
  return HeaderMasks;
}
 
void VPlanTransforms::addActiveLaneMask(
    VPlan &Plan, bool UseActiveLaneMaskForControlFlow,
    bool DataAndControlFlowWithoutRuntimeCheck) {
  assert((!DataAndControlFlowWithoutRuntimeCheck ||
          UseActiveLaneMaskForControlFlow) &&
         "DataAndControlFlowWithoutRuntimeCheck implies "
         "UseActiveLaneMaskForControlFlow");
 
  auto FoundWidenCanonicalIVUser =
      find_if(Plan.getCanonicalIV()->users(),
              [](VPUser *U) { return isa<VPWidenCanonicalIVRecipe>(U); });
  assert(FoundWidenCanonicalIVUser &&
         "Must have widened canonical IV when tail folding!");
  auto *WideCanonicalIV =
      cast<VPWidenCanonicalIVRecipe>(*FoundWidenCanonicalIVUser);
  VPSingleDefRecipe *LaneMask;
  if (UseActiveLaneMaskForControlFlow) {
    LaneMask = addVPLaneMaskPhiAndUpdateExitBranch(
        Plan, DataAndControlFlowWithoutRuntimeCheck);
  } else {
    VPBuilder B = VPBuilder::getToInsertAfter(WideCanonicalIV);
    LaneMask = B.createNaryOp(VPInstruction::ActiveLaneMask,
                              {WideCanonicalIV, Plan.getTripCount()}, nullptr,
                              "active.lane.mask");
  }
 
  // Walk users of WideCanonicalIV and replace all compares of the form
  // (ICMP_ULE, WideCanonicalIV, backedge-taken-count) with an
  // active-lane-mask.
  for (VPValue *HeaderMask : collectAllHeaderMasks(Plan))
    HeaderMask->replaceAllUsesWith(LaneMask);
}
 
/// Add a VPEVLBasedIVPHIRecipe and related recipes to \p Plan and
/// replaces all uses except the canonical IV increment of
/// VPCanonicalIVPHIRecipe with a VPEVLBasedIVPHIRecipe. VPCanonicalIVPHIRecipe
/// is used only for loop iterations counting after this transformation.
///
/// The function uses the following definitions:
///  %StartV is the canonical induction start value.
///
/// The function adds the following recipes:
///
/// vector.ph:
/// ...
///
/// vector.body:
/// ...
/// %EVLPhi = EXPLICIT-VECTOR-LENGTH-BASED-IV-PHI [ %StartV, %vector.ph ],
///                                               [ %NextEVLIV, %vector.body ]
/// %VPEVL = EXPLICIT-VECTOR-LENGTH %EVLPhi, original TC
/// ...
/// %NextEVLIV = add IVSize (cast i32 %VPEVVL to IVSize), %EVLPhi
/// ...
///
void VPlanTransforms::addExplicitVectorLength(VPlan &Plan) {
  VPBasicBlock *Header = Plan.getVectorLoopRegion()->getEntryBasicBlock();
  auto *CanonicalIVPHI = Plan.getCanonicalIV();
  VPValue *StartV = CanonicalIVPHI->getStartValue();
 
  // Create the ExplicitVectorLengthPhi recipe in the main loop.
  auto *EVLPhi = new VPEVLBasedIVPHIRecipe(StartV, DebugLoc());
  EVLPhi->insertAfter(CanonicalIVPHI);
  auto *VPEVL = new VPInstruction(VPInstruction::ExplicitVectorLength,
                                  {EVLPhi, Plan.getTripCount()});
  VPEVL->insertBefore(*Header, Header->getFirstNonPhi());
 
  auto *CanonicalIVIncrement =
      cast<VPInstruction>(CanonicalIVPHI->getBackedgeValue());
  VPSingleDefRecipe *OpVPEVL = VPEVL;
  if (unsigned IVSize = CanonicalIVPHI->getScalarType()->getScalarSizeInBits();
      IVSize != 32) {
    OpVPEVL = new VPScalarCastRecipe(IVSize < 32 ? Instruction::Trunc
                                                 : Instruction::ZExt,
                                     OpVPEVL, CanonicalIVPHI->getScalarType());
    OpVPEVL->insertBefore(CanonicalIVIncrement);
  }
  auto *NextEVLIV =
      new VPInstruction(Instruction::Add, {OpVPEVL, EVLPhi},
                        {CanonicalIVIncrement->hasNoUnsignedWrap(),
                         CanonicalIVIncrement->hasNoSignedWrap()},
                        CanonicalIVIncrement->getDebugLoc(), "index.evl.next");
  NextEVLIV->insertBefore(CanonicalIVIncrement);
  EVLPhi->addOperand(NextEVLIV);
 
  for (VPValue *HeaderMask : collectAllHeaderMasks(Plan)) {
    for (VPUser *U : collectUsersRecursively(HeaderMask)) {
      auto *MemR = dyn_cast<VPWidenMemoryRecipe>(U);
      if (!MemR)
        continue;
      assert(!MemR->isReverse() &&
             "Reversed memory operations not supported yet.");
      VPValue *OrigMask = MemR->getMask();
      assert(OrigMask && "Unmasked widen memory recipe when folding tail");
      VPValue *NewMask = HeaderMask == OrigMask ? nullptr : OrigMask;
      if (auto *L = dyn_cast<VPWidenLoadRecipe>(MemR)) {
        auto *N = new VPWidenLoadEVLRecipe(L, VPEVL, NewMask);
        N->insertBefore(L);
        L->replaceAllUsesWith(N);
        L->eraseFromParent();
      } else if (auto *S = dyn_cast<VPWidenStoreRecipe>(MemR)) {
        auto *N = new VPWidenStoreEVLRecipe(S, VPEVL, NewMask);
        N->insertBefore(S);
        S->eraseFromParent();
      } else {
        llvm_unreachable("unsupported recipe");
      }
    }
    recursivelyDeleteDeadRecipes(HeaderMask);
  }
  // Replace all uses of VPCanonicalIVPHIRecipe by
  // VPEVLBasedIVPHIRecipe except for the canonical IV increment.
  CanonicalIVPHI->replaceAllUsesWith(EVLPhi);
  CanonicalIVIncrement->setOperand(0, CanonicalIVPHI);
  // TODO: support unroll factor > 1.
  Plan.setUF(1);
}
 
void VPlanTransforms::dropPoisonGeneratingRecipes(
    VPlan &Plan, function_ref<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.back();
      Worklist.pop_back();
 
      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>(CurRec) || isa<VPInterleaveRecipe>(CurRec) ||
          isa<VPScalarIVStepsRecipe>(CurRec) || isa<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;
        using namespace llvm::VPlanPatternMatch;
        // 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_Or(m_VPValue(A), m_VPValue(B))) &&
            RecWithFlags->isDisjoint()) {
          VPBuilder Builder(RecWithFlags);
          VPInstruction *New = Builder.createOverflowingOp(
              Instruction::Add, {A, B}, {false, false},
              RecWithFlags->getDebugLoc());
          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);
        }
      }
    }
  }
}