TailRecursionElimination.cpp

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//===- TailRecursionElimination.cpp - Eliminate Tail Calls ----------------===//
//
// 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
//
//===----------------------------------------------------------------------===//
//
// This file transforms calls of the current function (self recursion) followed
// by a return instruction with a branch to the entry of the function, creating
// a loop.  This pass also implements the following extensions to the basic
// algorithm:
//
//  1. Trivial instructions between the call and return do not prevent the
//     transformation from taking place, though currently the analysis cannot
//     support moving any really useful instructions (only dead ones).
//  2. This pass transforms functions that are prevented from being tail
//     recursive by an associative and commutative expression to use an
//     accumulator variable, thus compiling the typical naive factorial or
//     'fib' implementation into efficient code.
//  3. TRE is performed if the function returns void, if the return
//     returns the result returned by the call, or if the function returns a
//     run-time constant on all exits from the function.  It is possible, though
//     unlikely, that the return returns something else (like constant 0), and
//     can still be TRE'd.  It can be TRE'd if ALL OTHER return instructions in
//     the function return the exact same value.
//  4. If it can prove that callees do not access their caller stack frame,
//     they are marked as eligible for tail call elimination (by the code
//     generator).
//
// There are several improvements that could be made:
//
//  1. If the function has any alloca instructions, these instructions will be
//     moved out of the entry block of the function, causing them to be
//     evaluated each time through the tail recursion.  Safely keeping allocas
//     in the entry block requires analysis to proves that the tail-called
//     function does not read or write the stack object.
//  2. Tail recursion is only performed if the call immediately precedes the
//     return instruction.  It's possible that there could be a jump between
//     the call and the return.
//  3. There can be intervening operations between the call and the return that
//     prevent the TRE from occurring.  For example, there could be GEP's and
//     stores to memory that will not be read or written by the call.  This
//     requires some substantial analysis (such as with DSA) to prove safe to
//     move ahead of the call, but doing so could allow many more TREs to be
//     performed, for example in TreeAdd/TreeAlloc from the treeadd benchmark.
//  4. The algorithm we use to detect if callees access their caller stack
//     frames is very primitive.
//
//===----------------------------------------------------------------------===//
 
#include "llvm/Transforms/Scalar/TailRecursionElimination.h"
#include "ScalarOptions.h"
#include "llvm/ADT/STLExtras.h"
#include "llvm/ADT/SmallPtrSet.h"
#include "llvm/ADT/Statistic.h"
#include "llvm/Analysis/BlockFrequencyInfo.h"
#include "llvm/Analysis/BlockFrequencyInfoImpl.h"
#include "llvm/Analysis/DomTreeUpdater.h"
#include "llvm/Analysis/GlobalsModRef.h"
#include "llvm/Analysis/InstructionSimplify.h"
#include "llvm/Analysis/Loads.h"
#include "llvm/Analysis/OptimizationRemarkEmitter.h"
#include "llvm/Analysis/PostDominators.h"
#include "llvm/Analysis/ProfileSummaryInfo.h"
#include "llvm/Analysis/TargetTransformInfo.h"
#include "llvm/Analysis/ValueTracking.h"
#include "llvm/IR/CFG.h"
#include "llvm/IR/Constants.h"
#include "llvm/IR/DataLayout.h"
#include "llvm/IR/DerivedTypes.h"
#include "llvm/IR/DiagnosticInfo.h"
#include "llvm/IR/Dominators.h"
#include "llvm/IR/Function.h"
#include "llvm/IR/IRBuilder.h"
#include "llvm/IR/InstIterator.h"
#include "llvm/IR/Instructions.h"
#include "llvm/IR/IntrinsicInst.h"
#include "llvm/IR/MDBuilder.h"
#include "llvm/IR/Module.h"
#include "llvm/IR/ProfDataUtils.h"
#include "llvm/InitializePasses.h"
#include "llvm/Pass.h"
#include "llvm/Support/BlockFrequency.h"
#include "llvm/Support/Debug.h"
#include "llvm/Support/raw_ostream.h"
#include "llvm/Transforms/Scalar.h"
#include "llvm/Transforms/Utils/BasicBlockUtils.h"
#include <cmath>
using namespace llvm;
 
#define DEBUG_TYPE "tailcallelim"
 
STATISTIC(NumEliminated, "Number of tail calls removed");
STATISTIC(NumRetDuped,   "Number of return duplicated");
STATISTIC(NumAccumAdded, "Number of accumulators introduced");
STATISTIC(NumTREPreventedCold,
          "Number of tail calls/recursion eliminations prevented due to cold "
          "calling convention or attribute");
 
static bool shouldDisableTailCallsForCold(const ScalarOptions &Opts,
                                          const CallBase *CB,
                                          const Function *Caller,
                                          const ProfileSummaryInfo *PSI,
                                          BlockFrequencyInfo *BFI) {
  if (!Opts.disable_tail_call_elim_for_cold_calls)
    return false;
 
  if (CB && CB->isMustTailCall())
    return false;
 
  if (Caller && (Caller->hasFnAttribute(Attribute::Cold) ||
                 Caller->getCallingConv() == CallingConv::Cold))
    return true;
 
  if (!PSI || !PSI->hasProfileSummary())
    return false;
 
  // We require both the function entry and the call site/block/callee to be
  // cold.
  // 1. Checking that the function entry is cold ensures we don't disable tail
  //    call elimination in hot functions (with calls on cold conditional
  //    paths), which would force stack frame setup and teardown on hot paths.
  // 2. Checking that the call site/block/callee is also cold ensures that if a
  //    function has a cold entry count but contains a hot loop, we don't
  //    disable tail call elimination for calls within that hot loop.
  if (Caller && PSI->isFunctionEntryCold(Caller) && CB) {
    if (CB->hasFnAttr(Attribute::Cold) ||
        CB->getCallingConv() == CallingConv::Cold)
      return true;
    if (BFI && (PSI->isColdCallSite(*CB, BFI) ||
                PSI->isColdBlock(CB->getParent(), BFI)))
      return true;
  }
 
  return false;
}
 
/// Scan the specified function for alloca instructions.
/// If it contains any dynamic allocas, returns false.
static bool canTRE(Function &F) {
  // TODO: We don't do TRE if dynamic allocas are used.
  // Dynamic allocas allocate stack space which should be
  // deallocated before new iteration started. That is
  // currently not implemented.
  return llvm::all_of(instructions(F), [](Instruction &I) {
    auto *AI = dyn_cast<AllocaInst>(&I);
    return !AI || AI->isStaticAlloca();
  });
}
 
namespace {
struct LocalStackValueTracker {
  // Start at a root value and walk its use-def chain to mark calls that use the
  // value or a derived value in LocalStackUsers, and places where it may
  // escape in EscapePoints.
  void walk(Value *Root) {
    SmallVector<Use *, 32> Worklist;
    SmallPtrSet<Use *, 32> Visited;
 
    auto AddUsesToWorklist = [&](Value *V) {
      for (auto &U : V->uses()) {
        if (!Visited.insert(&U).second)
          continue;
        Worklist.push_back(&U);
      }
    };
 
    AddUsesToWorklist(Root);
 
    while (!Worklist.empty()) {
      Use *U = Worklist.pop_back_val();
      Instruction *I = cast<Instruction>(U->getUser());
 
      switch (I->getOpcode()) {
      case Instruction::Call:
      case Instruction::Invoke: {
        auto &CB = cast<CallBase>(*I);
        // llvm.stackrestore does not capture its argument, but it is not marked
        // nocapture because of its unusual memory semantics. Treating it as an
        // escape would block tail calls after every VLA scope.
        if (auto *II = dyn_cast<IntrinsicInst>(I);
            II && II->getIntrinsicID() == Intrinsic::stackrestore)
          continue;
        // If the alloca-derived argument is passed byval it is not an escape
        // point, or a use of an alloca. Calling with byval copies the contents
        // of the alloca into argument registers or stack slots, which exist
        // beyond the lifetime of the current frame.
        if (CB.isArgOperand(U) && CB.isByValArgument(CB.getArgOperandNo(U)))
          continue;
        bool IsNocapture =
            CB.isDataOperand(U) && CB.doesNotCapture(CB.getDataOperandNo(U));
        callUsesLocalStack(CB, IsNocapture);
        if (IsNocapture) {
          // If the alloca-derived argument is passed in as nocapture, then it
          // can't propagate to the call's return. That would be capturing.
          continue;
        }
        break;
      }
      case Instruction::Load: {
        // The result of a load is not alloca-derived (unless an alloca has
        // otherwise escaped, but this is a local analysis).
        continue;
      }
      case Instruction::Store: {
        if (U->getOperandNo() == 0)
          EscapePoints.insert(I);
        continue;  // Stores have no users to analyze.
      }
      case Instruction::BitCast:
      case Instruction::GetElementPtr:
      case Instruction::PHI:
      case Instruction::Select:
      case Instruction::AddrSpaceCast:
        break;
      default:
        EscapePoints.insert(I);
        break;
      }
 
      AddUsesToWorklist(I);
    }
  }
 
  void callUsesLocalStack(CallBase &CB, bool IsNocapture) {
    // Add it to the list of calls that use the local stack.
    LocalStackUsers.insert(&CB);
 
    // If it's nocapture then it can't capture this alloca.
    if (IsNocapture)
      return;
 
    // If it can write to memory, it can leak the alloca value.
    if (!CB.onlyReadsMemory())
      EscapePoints.insert(&CB);
  }
 
  SmallPtrSet<Instruction *, 32> LocalStackUsers;
  SmallPtrSet<Instruction *, 32> EscapePoints;
};
} // namespace
 
/// Returns true if \p II returns an address in the current function's frame.
static bool returnsCurrentFrameAddress(const IntrinsicInst *II) {
  if (!II)
    return false;
  switch (II->getIntrinsicID()) {
  case Intrinsic::frameaddress:
    // A non-zero level refers to a caller's frame, which outlives a tail call.
    return cast<ConstantInt>(II->getArgOperand(0))->isZero();
  case Intrinsic::addressofreturnaddress:
  case Intrinsic::eh_dwarf_cfa:
  case Intrinsic::localaddress:
  case Intrinsic::sponentry:
  case Intrinsic::stackaddress:
  case Intrinsic::stacksave:
  case Intrinsic::swift_async_context_addr:
    return true;
  default:
    return false;
  }
}
 
static bool markTails(const ScalarOptions &Opts, Function &F,
                      OptimizationRemarkEmitter *ORE, ProfileSummaryInfo *PSI,
                      BlockFrequencyInfo *BFI) {
  if (F.callsFunctionThatReturnsTwice())
    return false;
 
  // The local stack holds allocas and byval arguments, and frame-address
  // intrinsics point into it.
  LocalStackValueTracker Tracker;
  for (Argument &Arg : F.args()) {
    if (Arg.hasByValAttr())
      Tracker.walk(&Arg);
  }
  for (Instruction &I : instructions(F)) {
    if (isa<AllocaInst>(&I) ||
        returnsCurrentFrameAddress(dyn_cast<IntrinsicInst>(&I)))
      Tracker.walk(&I);
  }
 
  bool Modified = false;
 
  // Track whether a block is reachable after an alloca has escaped. Blocks that
  // contain the escaping instruction will be marked as being visited without an
  // escaped alloca, since that is how the block began.
  enum VisitType {
    UNVISITED,
    UNESCAPED,
    ESCAPED
  };
  DenseMap<BasicBlock *, VisitType> Visited;
 
  // We propagate the fact that an alloca has escaped from block to successor.
  // Visit the blocks that are propagating the escapedness first. To do this, we
  // maintain two worklists.
  SmallVector<BasicBlock *, 32> WorklistUnescaped, WorklistEscaped;
 
  // We may enter a block and visit it thinking that no alloca has escaped yet,
  // then see an escape point and go back around a loop edge and come back to
  // the same block twice. Because of this, we defer setting tail on calls when
  // we first encounter them in a block. Every entry in this list does not
  // statically use an alloca via use-def chain analysis, but may find an alloca
  // through other means if the block turns out to be reachable after an escape
  // point.
  SmallVector<CallInst *, 32> DeferredTails;
 
  BasicBlock *BB = &F.getEntryBlock();
  VisitType Escaped = UNESCAPED;
  do {
    for (auto &I : *BB) {
      if (Tracker.EscapePoints.count(&I))
        Escaped = ESCAPED;
 
      CallInst *CI = dyn_cast<CallInst>(&I);
      // A PseudoProbeInst has the IntrInaccessibleMemOnly tag hence it is
      // considered accessing memory and will be marked as a tail call if we
      // don't bail out here.
      if (!CI || CI->isTailCall() || isa<PseudoProbeInst>(&I))
        continue;
 
      // Bail out for intrinsic stackrestore call because it can modify
      // unescaped allocas.
      if (auto *II = dyn_cast<IntrinsicInst>(CI))
        if (II->getIntrinsicID() == Intrinsic::stackrestore)
          continue;
 
      // Special-case operand bundles "clang.arc.attachedcall", "ptrauth", and
      // "kcfi".
      bool DisableForCold =
          shouldDisableTailCallsForCold(Opts, CI, &F, PSI, BFI);
      bool IsNoTail = CI->isNoTailCall() || DisableForCold ||
                      CI->hasOperandBundlesOtherThan(
                          {LLVMContext::OB_clang_arc_attachedcall,
                           LLVMContext::OB_ptrauth, LLVMContext::OB_kcfi});
      if (!CI->isNoTailCall() && DisableForCold)
        ++NumTREPreventedCold;
 
      if (!IsNoTail && CI->doesNotAccessMemory()) {
        // A call to a readnone function whose arguments are all things computed
        // outside this function can be marked tail. Even if you stored the
        // alloca address into a global, a readnone function can't load the
        // global anyhow.
        //
        // Note that this runs whether we know an alloca has escaped or not. If
        // it has, then we can't trust Tracker.LocalStackUsers to be accurate.
        bool SafeToTail = true;
        for (auto &Arg : CI->args()) {
          if (isa<Constant>(Arg.getUser()))
            continue;
          if (Argument *A = dyn_cast<Argument>(Arg.getUser()))
            if (!A->hasByValAttr())
              continue;
          SafeToTail = false;
          break;
        }
        if (SafeToTail) {
          using namespace ore;
          ORE->emit([&]() {
            return OptimizationRemark(DEBUG_TYPE, "tailcall-readnone", CI)
                   << "marked as tail call candidate (readnone)";
          });
          CI->setTailCall();
          Modified = true;
          continue;
        }
      }
 
      if (!IsNoTail && Escaped == UNESCAPED &&
          !Tracker.LocalStackUsers.count(CI))
        DeferredTails.push_back(CI);
    }
 
    for (auto *SuccBB : successors(BB)) {
      auto &State = Visited[SuccBB];
      if (State < Escaped) {
        State = Escaped;
        if (State == ESCAPED)
          WorklistEscaped.push_back(SuccBB);
        else
          WorklistUnescaped.push_back(SuccBB);
      }
    }
 
    if (!WorklistEscaped.empty()) {
      BB = WorklistEscaped.pop_back_val();
      Escaped = ESCAPED;
    } else {
      BB = nullptr;
      while (!WorklistUnescaped.empty()) {
        auto *NextBB = WorklistUnescaped.pop_back_val();
        if (Visited[NextBB] == UNESCAPED) {
          BB = NextBB;
          Escaped = UNESCAPED;
          break;
        }
      }
    }
  } while (BB);
 
  for (CallInst *CI : DeferredTails) {
    if (Visited[CI->getParent()] != ESCAPED) {
      // If the escape point was part way through the block, calls after the
      // escape point wouldn't have been put into DeferredTails.
      LLVM_DEBUG(dbgs() << "Marked as tail call candidate: " << *CI << "\n");
      CI->setTailCall();
      Modified = true;
    }
  }
 
  return Modified;
}
 
/// Return true if it is safe to move the specified
/// instruction from after the call to before the call, assuming that all
/// instructions between the call and this instruction are movable.
///
static bool canMoveAboveCall(Instruction *I, CallInst *CI, AliasAnalysis *AA) {
  if (const IntrinsicInst *II = dyn_cast<IntrinsicInst>(I))
    if (II->getIntrinsicID() == Intrinsic::lifetime_end)
      return true;
 
  // FIXME: We can move load/store/call/free instructions above the call if the
  // call does not mod/ref the memory location being processed.
  if (I->mayHaveSideEffects())  // This also handles volatile loads.
    return false;
 
  if (LoadInst *L = dyn_cast<LoadInst>(I)) {
    // Loads may always be moved above calls without side effects.
    if (CI->mayHaveSideEffects()) {
      // Non-volatile loads may be moved above a call with side effects if it
      // does not write to memory and the load provably won't trap.
      // Writes to memory only matter if they may alias the pointer
      // being loaded from.
      const DataLayout &DL = L->getDataLayout();
      if (isModSet(AA->getModRefInfo(CI, MemoryLocation::get(L))) ||
          !isSafeToLoadUnconditionally(L->getPointerOperand(), L->getType(),
                                       L->getAlign(), SimplifyQuery(DL, L)))
        return false;
    }
  }
 
  // Otherwise, if this is a side-effect free instruction, check to make sure
  // that it does not use the return value of the call.  If it doesn't use the
  // return value of the call, it must only use things that are defined before
  // the call, or movable instructions between the call and the instruction
  // itself.
  return !is_contained(I->operands(), CI);
}
 
// Return true if I is a unary accumulator recurrence: a chain of
// applications of a unary function `g` composed with itself,
// `g(g(...g(Base)...))`, which is equivalent to a single application of the
// N-times-composed function when `g` is pure. Neither associative nor
// commutative, this differs from the ordinary accumulator recurrence handled
// below, which requires I to be associative and commutative.
//
// TODO: Generalize this beyond shifts by a constant amount to arbitrary pure
// unary functions (e.g., `f(x) = x == 0 ? Base : g(f(x - 1))` for any pure
// unary `g`).
static bool isUnaryAccumulatorRecurrence(Instruction *I) {
  if (!I->isShift())
    return false;
 
  // A chain of shifts by a constant amount C is equivalent to a single shift
  // by the sum of the amounts:
  //     ... (Base << C) << C) ... << C == Base << (C * Iterations)
  // This relation applies to left shifts as well as arithmetic/logical right
  // shifts when the shift amount is a constant.
  return isa<ConstantInt>(I->getOperand(1));
}
 
namespace {
class TailRecursionEliminator {
  const ScalarOptions &Opts;
  Function &F;
  const TargetTransformInfo *TTI;
  AliasAnalysis *AA;
  OptimizationRemarkEmitter *ORE;
  DomTreeUpdater &DTU;
  BlockFrequencyInfo *const BFI;
  ProfileSummaryInfo *const PSI;
  const bool UpdateFunctionEntryCount;
  const uint64_t OrigEntryBBFreq;
  const uint64_t OrigEntryCount;
 
  // The below are shared state we want to have available when eliminating any
  // calls in the function. There values should be populated by
  // createTailRecurseLoopHeader the first time we find a call we can eliminate.
  BasicBlock *HeaderBB = nullptr;
  SmallVector<PHINode *, 8> ArgumentPHIs;
 
  // PHI node to store our return value.
  PHINode *RetPN = nullptr;
 
  // i1 PHI node to track if we have a valid return value stored in RetPN.
  PHINode *RetKnownPN = nullptr;
 
  // Vector of select instructions we insereted. These selects use RetKnownPN
  // to either propagate RetPN or select a new return value.
  SmallVector<SelectInst *, 8> RetSelects;
 
  // Keep track of the sum of frequencies of blocks that have calls eliminated
  // so we can synthesize branch weights later that require information on
  // recursion frequency.
  uint64_t EliminateBlocksFrequencySum = 0;
 
  // The below are shared state needed when performing accumulator recursion.
  // There values should be populated by insertAccumulator the first time we
  // find an elimination that requires an accumulator.
 
  // PHI node to store our current accumulated value.
  PHINode *AccPN = nullptr;
 
  // The instruction doing the accumulating.
  Instruction *AccumulatorRecursionInstr = nullptr;
 
  Constant *AccumulatorInitialValue = nullptr;
 
  TailRecursionEliminator(const ScalarOptions &Opts, Function &F,
                          const TargetTransformInfo *TTI, AliasAnalysis *AA,
                          OptimizationRemarkEmitter *ORE, DomTreeUpdater &DTU,
                          BlockFrequencyInfo *BFI, ProfileSummaryInfo *PSI,
                          bool UpdateFunctionEntryCount)
      : Opts(Opts), F(F), TTI(TTI), AA(AA), ORE(ORE), DTU(DTU), BFI(BFI),
        PSI(PSI), UpdateFunctionEntryCount(UpdateFunctionEntryCount),
        OrigEntryBBFreq(
            BFI ? BFI->getBlockFreq(&F.getEntryBlock()).getFrequency() : 0U),
        OrigEntryCount(F.getEntryCount() ? *F.getEntryCount() : 0) {
    if (BFI) {
      // The assert is meant as API documentation for the caller.
      assert(OrigEntryBBFreq != 0 &&
             "If a BFI was provided, the function should have an entry "
             "basic block with a non-zero frequency.");
    }
  }
 
  Constant *findBaseCaseRetConstant(Instruction *AccRecInstr);
 
  Constant *canTransformAccumulatorRecursion(Instruction *I, CallInst *CI);
 
  CallInst *findTRECandidate(BasicBlock *BB);
 
  void createTailRecurseLoopHeader(CallInst *CI);
 
  void insertAccumulator(Instruction *AccRecInstr);
 
  bool eliminateCall(CallInst *CI);
 
  void cleanupAndFinalize();
 
  bool processBlock(BasicBlock &BB);
 
  void copyByValueOperandIntoLocalTemp(CallInst *CI, int OpndIdx);
 
  void copyLocalTempOfByValueOperandIntoArguments(CallInst *CI, int OpndIdx);
 
public:
  static bool eliminate(Function &F, const TargetTransformInfo *TTI,
                        AliasAnalysis *AA, OptimizationRemarkEmitter *ORE,
                        DomTreeUpdater &DTU, BlockFrequencyInfo *BFI,
                        ProfileSummaryInfo *PSI, bool UpdateFunctionEntryCount);
};
} // namespace
 
// Find the base-case return value for the function, given the accumulator
// recursion instruction AccRecInstr that is about to be eliminated. Every
// return other than the one fed by AccRecInstr survives the transformation and
// will be rewritten to return the accumulator, so all of them have to yield the
// same base-case constant. Return that constant, or nullptr on failure.
//
// RetSelects are the selects already inserted for call sites eliminated via
// the "found return value" mechanism instead of the accumulator one. Their
// original `ret` is gone, so they'd otherwise be invisible to the scan below,
// but they still have to agree on the same base-case constant.
//
// FIXME: There is a room for improvement here in the future, e.g., consider
// non-constant values and multiple base cases -- e.g., we want to be able to
// handle code like:
// ```
// int f(int x) {
//  if (x == 1) return 1;
//  if (x == 10) return 10;
//  return f(x-1) << 1;
// }
// ```
Constant *
TailRecursionEliminator::findBaseCaseRetConstant(Instruction *AccRecInstr) {
  Constant *BaseCaseVal = nullptr;
 
  // Records C as the base-case constant the first time it's seen, and
  // otherwise checks that it agrees with the one already on record.
  auto SetOrMatchBaseCase = [&](Constant *C) {
    if (!BaseCaseVal)
      BaseCaseVal = C;
    return BaseCaseVal == C;
  };
 
  for (BasicBlock &BB : F) {
    auto *RI = dyn_cast<ReturnInst>(BB.getTerminator());
    if (!RI || !RI->getReturnValue())
      continue;
 
    Value *RV = RI->getReturnValue();
 
    // This is the recursive case being turned into a loop: the return goes
    // away along with AccRecInstr.
    if (RV == AccRecInstr)
      continue;
 
    // Anything else has to be the base case. In particular a return still
    // computing from a recursive call (e.g. a second recursion site that is
    // not eliminated) must be rejected: returning the accumulator in its place
    // would drop that computation.
    auto *C = dyn_cast<Constant>(RV);
    if (!C || !SetOrMatchBaseCase(C))
      return nullptr;
  }
 
  for (SelectInst *SI : RetSelects) {
    auto *C = dyn_cast<Constant>(SI->getFalseValue());
    if (!C || !SetOrMatchBaseCase(C))
      return nullptr;
  }
 
  return BaseCaseVal;
}
 
// This function checks whether the instruction I can be used
// to perform accumulator recursion elimination for the
// call instruction CI.
Constant *
TailRecursionEliminator::canTransformAccumulatorRecursion(Instruction *I,
                                                          CallInst *CI) {
  bool IsUnaryAccumulatorRecurrence = isUnaryAccumulatorRecurrence(I);
  if ((!I->isAssociative() || !I->isCommutative()) &&
      !IsUnaryAccumulatorRecurrence)
    return nullptr;
 
  assert(I->getNumOperands() >= 2 &&
         "Associative/commutative operations should have at least 2 args!");
 
  Constant *AccInitVal = nullptr;
  if (IsUnaryAccumulatorRecurrence) {
    // For unary accumulator recurrences, we require that the recursive call
    // is always on the first operand.
    if (I->getOperand(0) != CI)
      return nullptr;
 
    // findTRECandidate guarantees CI is a recursive call to its own
    // function, so scan the enclosing function for the base-case return.
    AccInitVal = findBaseCaseRetConstant(/*AccRecInstr=*/I);
    if (!AccInitVal)
      return nullptr;
  } else {
    AccInitVal = ConstantExpr::getIdentity(I, I->getType());
    if (!AccInitVal)
      return nullptr;
 
    // Exactly one operand should be the result of the call instruction.
    if ((I->getOperand(0) == CI && I->getOperand(1) == CI) ||
        (I->getOperand(0) != CI && I->getOperand(1) != CI))
      return nullptr;
  }
 
  // The only user of this instruction we allow is a single return instruction.
  if (!I->hasOneUse() || !isa<ReturnInst>(I->user_back()))
    return nullptr;
 
  return AccInitVal;
}
 
CallInst *TailRecursionEliminator::findTRECandidate(BasicBlock *BB) {
  Instruction *TI = BB->getTerminator();
 
  if (&BB->front() == TI) // Make sure there is something before the terminator.
    return nullptr;
 
  // Scan backwards from the return, checking to see if there is a tail call in
  // this block.  If so, set CI to it.
  CallInst *CI = nullptr;
  BasicBlock::iterator BBI(TI);
  while (true) {
    CI = dyn_cast<CallInst>(BBI);
    if (CI && CI->getCalledFunction() == &F)
      break;
 
    if (BBI == BB->begin())
      return nullptr;          // Didn't find a potential tail call.
    --BBI;
  }
 
  assert((!CI->isTailCall() || !CI->isNoTailCall()) &&
         "Incompatible call site attributes(Tail,NoTail)");
  if (!CI->isTailCall() ||
      shouldDisableTailCallsForCold(Opts, CI, &F, PSI, BFI))
    return nullptr;
 
  // As a special case, detect code like this:
  //   double fabs(double f) { return __builtin_fabs(f); } // a 'fabs' call
  // and disable this xform in this case, because the code generator will
  // lower the call to fabs into inline code.
  if (BB == &F.getEntryBlock() && &BB->front() == CI &&
      &*std::next(BB->begin()) == TI && CI->getCalledFunction() &&
      !TTI->isLoweredToCall(CI->getCalledFunction())) {
    // A single-block function with just a call and a return. Check that
    // the arguments match.
    auto I = CI->arg_begin(), E = CI->arg_end();
    Function::arg_iterator FI = F.arg_begin(), FE = F.arg_end();
    for (; I != E && FI != FE; ++I, ++FI)
      if (*I != &*FI) break;
    if (I == E && FI == FE)
      return nullptr;
  }
 
  return CI;
}
 
void TailRecursionEliminator::createTailRecurseLoopHeader(CallInst *CI) {
  HeaderBB = &F.getEntryBlock();
  BasicBlock *NewEntry = BasicBlock::Create(F.getContext(), "", &F, HeaderBB);
  NewEntry->takeName(HeaderBB);
  HeaderBB->setName("tailrecurse");
  auto *BI = UncondBrInst::Create(HeaderBB, NewEntry);
  BI->setDebugLoc(DebugLoc::getCompilerGenerated());
  // If the new branch preserves the debug location of CI, it could result in
  // misleading stepping, if CI is located in a conditional branch.
  // So, here we don't give any debug location to the new branch.
 
  // Move all fixed sized allocas from HeaderBB to NewEntry.
  for (BasicBlock::iterator OEBI = HeaderBB->begin(), E = HeaderBB->end(),
                            NEBI = NewEntry->begin();
       OEBI != E;)
    if (AllocaInst *AI = dyn_cast<AllocaInst>(OEBI++))
      if (isa<ConstantInt>(AI->getArraySize()))
        AI->moveBefore(NEBI);
 
  // Now that we have created a new block, which jumps to the entry
  // block, insert a PHI node for each argument of the function.
  // For now, we initialize each PHI to only have the real arguments
  // which are passed in.
  BasicBlock::iterator InsertPos = HeaderBB->begin();
  for (Function::arg_iterator I = F.arg_begin(), E = F.arg_end(); I != E; ++I) {
    PHINode *PN = PHINode::Create(I->getType(), 2, I->getName() + ".tr");
    PN->insertBefore(InsertPos);
    I->replaceAllUsesWith(PN); // Everyone use the PHI node now!
    PN->addIncoming(&*I, NewEntry);
    ArgumentPHIs.push_back(PN);
  }
 
  // If the function doen't return void, create the RetPN and RetKnownPN PHI
  // nodes to track our return value. We initialize RetPN with poison and
  // RetKnownPN with false since we can't know our return value at function
  // entry.
  Type *RetType = F.getReturnType();
  if (!RetType->isVoidTy()) {
    Type *BoolType = Type::getInt1Ty(F.getContext());
    RetPN = PHINode::Create(RetType, 2, "ret.tr");
    RetPN->insertBefore(InsertPos);
    RetKnownPN = PHINode::Create(BoolType, 2, "ret.known.tr");
    RetKnownPN->insertBefore(InsertPos);
 
    RetPN->addIncoming(PoisonValue::get(RetType), NewEntry);
    RetKnownPN->addIncoming(ConstantInt::getFalse(BoolType), NewEntry);
  }
 
  // The entry block was changed from HeaderBB to NewEntry.
  // The forward DominatorTree needs to be recalculated when the EntryBB is
  // changed. In this corner-case we recalculate the entire tree.
  DTU.recalculate(*NewEntry->getParent());
}
 
void TailRecursionEliminator::insertAccumulator(Instruction *AccRecInstr) {
  assert(!AccPN && "Trying to insert multiple accumulators");
 
  AccumulatorRecursionInstr = AccRecInstr;
 
  // Start by inserting a new PHI node for the accumulator.
  pred_iterator PB = pred_begin(HeaderBB), PE = pred_end(HeaderBB);
  AccPN = PHINode::Create(F.getReturnType(), std::distance(PB, PE) + 1,
                          "accumulator.tr");
  AccPN->insertBefore(HeaderBB->begin());
 
  // Loop over all of the predecessors of the tail recursion block.  For the
  // real entry into the function we seed the PHI with the identity constant for
  // the accumulation operation.  For any other existing branches to this block
  // (due to other tail recursions eliminated) the accumulator is not modified.
  // Because we haven't added the branch in the current block to HeaderBB yet,
  // it will not show up as a predecessor.
  for (pred_iterator PI = PB; PI != PE; ++PI) {
    BasicBlock *P = *PI;
    if (P == &F.getEntryBlock()) {
      AccPN->addIncoming(AccumulatorInitialValue, P);
    } else {
      AccPN->addIncoming(AccPN, P);
    }
  }
 
  ++NumAccumAdded;
}
 
// Creates a copy of contents of ByValue operand of the specified
// call instruction into the newly created temporarily variable.
void TailRecursionEliminator::copyByValueOperandIntoLocalTemp(CallInst *CI,
                                                              int OpndIdx) {
  Type *AggTy = CI->getParamByValType(OpndIdx);
  assert(AggTy);
  const DataLayout &DL = F.getDataLayout();
 
  // Get alignment of byVal operand.
  Align Alignment(CI->getParamAlign(OpndIdx).valueOrOne());
 
  // Create alloca for temporarily byval operands.
  // Put alloca into the entry block.
  Value *NewAlloca = new AllocaInst(
      AggTy, DL.getAllocaAddrSpace(), nullptr, Alignment,
      CI->getArgOperand(OpndIdx)->getName(), F.getEntryBlock().begin());
 
  IRBuilder<> Builder(CI);
  Value *Size = Builder.getInt64(DL.getTypeAllocSize(AggTy));
 
  // Copy data from byvalue operand into the temporarily variable.
  Builder.CreateMemCpy(NewAlloca, /*DstAlign*/ Alignment,
                       CI->getArgOperand(OpndIdx),
                       /*SrcAlign*/ Alignment, Size);
  CI->setArgOperand(OpndIdx, NewAlloca);
}
 
// Creates a copy from temporarily variable(keeping value of ByVal argument)
// into the corresponding function argument location.
void TailRecursionEliminator::copyLocalTempOfByValueOperandIntoArguments(
    CallInst *CI, int OpndIdx) {
  Type *AggTy = CI->getParamByValType(OpndIdx);
  assert(AggTy);
  const DataLayout &DL = F.getDataLayout();
 
  // Get alignment of byVal operand.
  Align Alignment(CI->getParamAlign(OpndIdx).valueOrOne());
 
  IRBuilder<> Builder(CI);
  Value *Size = Builder.getInt64(DL.getTypeAllocSize(AggTy));
 
  // Copy data from the temporarily variable into corresponding
  // function argument location.
  Builder.CreateMemCpy(F.getArg(OpndIdx), /*DstAlign*/ Alignment,
                       CI->getArgOperand(OpndIdx),
                       /*SrcAlign*/ Alignment, Size);
}
 
bool TailRecursionEliminator::eliminateCall(CallInst *CI) {
  ReturnInst *Ret = cast<ReturnInst>(CI->getParent()->getTerminator());
 
  // Ok, we found a potential tail call.  We can currently only transform the
  // tail call if all of the instructions between the call and the return are
  // movable to above the call itself, leaving the call next to the return.
  // Check that this is the case now.
  Instruction *AccRecInstr = nullptr;
  BasicBlock::iterator BBI(CI);
  for (++BBI; &*BBI != Ret; ++BBI) {
    if (canMoveAboveCall(&*BBI, CI, AA))
      continue;
 
    // If we can't move the instruction above the call, it might be because it
    // is an (associative and commutative) or unary accumulator recurrence
    // arithmetic operation that could be transformed using accumulator
    // recursion elimination. Check to see if this is the case, and if so,
    // remember which instruction accumulates for later.
    Constant *AccInitVal = canTransformAccumulatorRecursion(&*BBI, CI);
 
    if (AccPN || !AccInitVal)
      return false; // We cannot eliminate the tail recursion!
 
    // Yes, this is accumulator recursion.  Remember which instruction
    // accumulates.
    AccRecInstr = &*BBI;
 
    // Keep track of the base case (i.e., initial value) of the accumulator
    // return value if any.
    AccumulatorInitialValue = AccInitVal;
  }
 
  BasicBlock *BB = Ret->getParent();
 
  if (BFI)
    EliminateBlocksFrequencySum += BFI->getBlockFreq(BB).getFrequency();
 
  using namespace ore;
  ORE->emit([&]() {
    return OptimizationRemark(DEBUG_TYPE, "tailcall-recursion", CI)
           << "transforming tail recursion into loop";
  });
 
  // OK! We can transform this tail call.  If this is the first one found,
  // create the new entry block, allowing us to branch back to the old entry.
  if (!HeaderBB)
    createTailRecurseLoopHeader(CI);
 
  // Copy values of ByVal operands into local temporarily variables.
  for (unsigned I = 0, E = CI->arg_size(); I != E; ++I) {
    if (CI->isByValArgument(I))
      copyByValueOperandIntoLocalTemp(CI, I);
  }
 
  // Ok, now that we know we have a pseudo-entry block WITH all of the
  // required PHI nodes, add entries into the PHI node for the actual
  // parameters passed into the tail-recursive call.
  for (unsigned I = 0, E = CI->arg_size(); I != E; ++I) {
    if (CI->isByValArgument(I)) {
      copyLocalTempOfByValueOperandIntoArguments(CI, I);
      // When eliminating a tail call, we modify the values of the arguments.
      // Therefore, if the byval parameter has a readonly attribute, we have to
      // remove it. It is safe because, from the perspective of a caller, the
      // byval parameter is always treated as "readonly," even if the readonly
      // attribute is removed.
      F.removeParamAttr(I, Attribute::ReadOnly);
      ArgumentPHIs[I]->addIncoming(F.getArg(I), BB);
    } else
      ArgumentPHIs[I]->addIncoming(CI->getArgOperand(I), BB);
  }
 
  if (AccRecInstr) {
    insertAccumulator(AccRecInstr);
 
    // Rewrite the accumulator recursion instruction so that it does not use
    // the result of the call anymore, instead, use the PHI node we just
    // inserted.
    AccRecInstr->setOperand(AccRecInstr->getOperand(0) != CI, AccPN);
 
    // Reassociating into the loop reorders the operands, so flags from the
    // original order (nsw/nuw/exact/...) may no longer hold.
    AccRecInstr->dropPoisonGeneratingFlags();
  }
 
  // Update our return value tracking
  if (RetPN) {
    if (Ret->getReturnValue() == CI || AccRecInstr) {
      // Defer selecting a return value
      RetPN->addIncoming(RetPN, BB);
      RetKnownPN->addIncoming(RetKnownPN, BB);
    } else {
      // We found a return value we want to use, insert a select instruction to
      // select it if we don't already know what our return value will be and
      // store the result in our return value PHI node.
      SelectInst *SI =
          SelectInst::Create(RetKnownPN, RetPN, Ret->getReturnValue(),
                             "current.ret.tr", Ret->getIterator());
      SI->setDebugLoc(Ret->getDebugLoc());
      RetSelects.push_back(SI);
 
      RetPN->addIncoming(SI, BB);
      RetKnownPN->addIncoming(ConstantInt::getTrue(RetKnownPN->getType()), BB);
    }
 
    if (AccPN)
      AccPN->addIncoming(AccRecInstr ? AccRecInstr : AccPN, BB);
  }
 
  // Now that all of the PHI nodes are in place, remove the call and
  // ret instructions, replacing them with an unconditional branch.
  UncondBrInst *NewBI = UncondBrInst::Create(HeaderBB, Ret->getIterator());
  NewBI->setDebugLoc(CI->getDebugLoc());
 
  Ret->eraseFromParent();  // Remove return.
  CI->eraseFromParent();   // Remove call.
  DTU.applyUpdates({{DominatorTree::Insert, BB, HeaderBB}});
  ++NumEliminated;
  if (!Opts.tre_disable_entrycount_recompute && UpdateFunctionEntryCount &&
      OrigEntryBBFreq) {
    assert(F.getEntryCount().has_value());
    // This pass is not expected to remove BBs, only add an entry BB. For that
    // reason, and because the BB here isn't the new entry BB, the BFI lookup is
    // expected to succeed.
    assert(&F.getEntryBlock() != BB);
    auto RelativeBBFreq =
        static_cast<double>(BFI->getBlockFreq(BB).getFrequency()) /
        static_cast<double>(OrigEntryBBFreq);
    auto ToSubtract =
        static_cast<uint64_t>(std::round(RelativeBBFreq * OrigEntryCount));
    auto OldEntryCount = *F.getEntryCount();
    if (OldEntryCount <= ToSubtract) {
      LLVM_DEBUG(
          errs() << "[TRE] The entrycount attributable to the recursive call, "
                 << ToSubtract
                 << ", should be strictly lower than the function entry count, "
                 << OldEntryCount << "\n");
    } else {
      F.setEntryCount(OldEntryCount - ToSubtract);
    }
  }
  return true;
}
 
void TailRecursionEliminator::cleanupAndFinalize() {
  // If we eliminated any tail recursions, it's possible that we inserted some
  // silly PHI nodes which just merge an initial value (the incoming operand)
  // with themselves.  Check to see if we did and clean up our mess if so.  This
  // occurs when a function passes an argument straight through to its tail
  // call.
  for (PHINode *PN : ArgumentPHIs) {
    // If the PHI Node is a dynamic constant, replace it with the value it is.
    if (Value *PNV = simplifyInstruction(PN, F.getDataLayout())) {
      PN->replaceAllUsesWith(PNV);
      PN->eraseFromParent();
    }
  }
 
  if (RetPN) {
    Instruction *AccRecInstr = AccumulatorRecursionInstr;
    auto MaterializeAccumulator = [&](Value *OtherVal,
                                      BasicBlock::iterator InsertPt) {
      Instruction *New = AccRecInstr->clone();
      New->setName("accumulator.ret.tr");
      New->setOperand(AccRecInstr->getOperand(0) == AccPN, OtherVal);
      New->insertBefore(InsertPt);
      New->dropLocation();
      return New;
    };
 
    if (RetSelects.empty()) {
      // If we didn't insert any select instructions, then we know we didn't
      // store a return value and we can remove the PHI nodes we inserted.
      RetPN->dropAllReferences();
      RetPN->eraseFromParent();
 
      RetKnownPN->dropAllReferences();
      RetKnownPN->eraseFromParent();
 
      if (AccPN) {
        // We need to insert a copy of our accumulator instruction before any
        // return in the function, and return its result instead.
        for (BasicBlock &BB : F) {
          ReturnInst *RI = dyn_cast<ReturnInst>(BB.getTerminator());
          if (!RI)
            continue;
 
          if (isUnaryAccumulatorRecurrence(AccRecInstr)) {
            // Base-case initialization: the accumulator PHI already holds the
            // final result, so return it directly.
            RI->setOperand(0, AccPN);
          } else {
            // Since the accumulator starts with the identity value, before the
            // return we need to apply the accumulation instruction one more
            // time to combine the last value with the result of the recursive
            // call.
            RI->setOperand(0, MaterializeAccumulator(RI->getOperand(0),
                                                     RI->getIterator()));
          }
        }
      }
    } else {
      // We need to insert a select instruction before any return left in the
      // function to select our stored return value if we have one.
      for (BasicBlock &BB : F) {
        ReturnInst *RI = dyn_cast<ReturnInst>(BB.getTerminator());
        if (!RI)
          continue;
 
        SelectInst *SI =
            SelectInst::Create(RetKnownPN, RetPN, RI->getOperand(0),
                               "current.ret.tr", RI->getIterator());
        SI->setDebugLoc(DebugLoc::getCompilerGenerated());
        RetSelects.push_back(SI);
        RI->setOperand(0, SI);
      }
 
      if (AccPN) {
        // We need to insert a copy of our accumulator instruction before any
        // of the selects we inserted, and select its result instead.
        for (SelectInst *SI : RetSelects) {
          if (isUnaryAccumulatorRecurrence(AccRecInstr)) {
            SI->setFalseValue(AccPN);
          } else {
            SI->setFalseValue(
                MaterializeAccumulator(SI->getFalseValue(), SI->getIterator()));
          }
        }
      }
    }
 
    if (BFI) {
      uint64_t BaseCaseBlocksFrequencySum = 0;
      for (BasicBlock &BB : F)
        if (isa<ReturnInst>(BB.getTerminator()))
          BaseCaseBlocksFrequencySum += BFI->getBlockFreq(&BB).getFrequency();
 
      if (EliminateBlocksFrequencySum + BaseCaseBlocksFrequencySum == 0)
        return;
      SmallVector<uint32_t> Testing = fitWeights({EliminateBlocksFrequencySum, BaseCaseBlocksFrequencySum});
      MDBuilder MDB(F.getContext());
      MDNode *BranchWeights = MDB.createBranchWeights(
          {Testing[0], Testing[1]},
          false);
      for (SelectInst *SI : RetSelects)
        SI->setMetadata(LLVMContext::MD_prof, BranchWeights);
    }
  }
}
 
bool TailRecursionEliminator::processBlock(BasicBlock &BB) {
  Instruction *TI = BB.getTerminator();
 
  if (UncondBrInst *BI = dyn_cast<UncondBrInst>(TI)) {
    BasicBlock *Succ = BI->getSuccessor();
    ReturnInst *Ret = dyn_cast<ReturnInst>(Succ->getFirstNonPHIOrDbg(true));
 
    if (!Ret)
      return false;
 
    CallInst *CI = findTRECandidate(&BB);
 
    if (!CI)
      return false;
 
    LLVM_DEBUG(dbgs() << "FOLDING: " << *Succ
                      << "INTO UNCOND BRANCH PRED: " << BB);
    FoldReturnIntoUncondBranch(Ret, Succ, &BB, &DTU);
    ++NumRetDuped;
 
    // If all predecessors of Succ have been eliminated by
    // FoldReturnIntoUncondBranch, delete it.  It is important to empty it,
    // because the ret instruction in there is still using a value which
    // eliminateCall will attempt to remove.  This block can only contain
    // instructions that can't have uses, therefore it is safe to remove.
    if (pred_empty(Succ))
      DTU.deleteBB(Succ);
 
    eliminateCall(CI);
    return true;
  }
 
  if (isa<ReturnInst>(TI)) {
    CallInst *CI = findTRECandidate(&BB);
 
    if (CI)
      return eliminateCall(CI);
  }
 
  return false;
}
 
bool TailRecursionEliminator::eliminate(
    Function &F, const TargetTransformInfo *TTI, AliasAnalysis *AA,
    OptimizationRemarkEmitter *ORE, DomTreeUpdater &DTU,
    BlockFrequencyInfo *BFI, ProfileSummaryInfo *PSI,
    bool UpdateFunctionEntryCount) {
  if (F.getFnAttribute("disable-tail-calls").getValueAsBool())
    return false;
 
  const ScalarOptions &Opts = ScalarOptions::Global;
  bool MadeChange = false;
  MadeChange |= markTails(Opts, F, ORE, PSI, BFI);
 
  // If this function is a varargs function, we won't be able to PHI the args
  // right, so don't even try to convert it...
  if (F.getFunctionType()->isVarArg())
    return MadeChange;
 
  if (!canTRE(F))
    return MadeChange;
 
  // Change any tail recursive calls to loops.
  TailRecursionEliminator TRE(Opts, F, TTI, AA, ORE, DTU, BFI, PSI,
                              UpdateFunctionEntryCount);
 
  for (BasicBlock &BB : F)
    MadeChange |= TRE.processBlock(BB);
 
  TRE.cleanupAndFinalize();
 
  return MadeChange;
}
 
namespace {
struct TailCallElim : public FunctionPass {
  static char ID; // Pass identification, replacement for typeid
  TailCallElim() : FunctionPass(ID) {
    initializeTailCallElimPass(*PassRegistry::getPassRegistry());
  }
 
  void getAnalysisUsage(AnalysisUsage &AU) const override {
    AU.addRequired<TargetTransformInfoWrapperPass>();
    AU.addRequired<AAResultsWrapperPass>();
    AU.addRequired<OptimizationRemarkEmitterWrapperPass>();
    AU.addPreserved<GlobalsAAWrapperPass>();
    AU.addPreserved<DominatorTreeWrapperPass>();
    AU.addPreserved<PostDominatorTreeWrapperPass>();
  }
 
  bool runOnFunction(Function &F) override {
    if (skipFunction(F))
      return false;
 
    auto *DTWP = getAnalysisIfAvailable<DominatorTreeWrapperPass>();
    auto *DT = DTWP ? &DTWP->getDomTree() : nullptr;
    auto *PDTWP = getAnalysisIfAvailable<PostDominatorTreeWrapperPass>();
    auto *PDT = PDTWP ? &PDTWP->getPostDomTree() : nullptr;
    // There is no noticable performance difference here between Lazy and Eager
    // UpdateStrategy based on some test results. It is feasible to switch the
    // UpdateStrategy to Lazy if we find it profitable later.
    DomTreeUpdater DTU(DT, PDT, DomTreeUpdater::UpdateStrategy::Eager);
 
    return TailRecursionEliminator::eliminate(
        F, &getAnalysis<TargetTransformInfoWrapperPass>().getTTI(F),
        &getAnalysis<AAResultsWrapperPass>().getAAResults(),
        &getAnalysis<OptimizationRemarkEmitterWrapperPass>().getORE(), DTU,
        /*BFI=*/nullptr, /*PSI=*/nullptr, /*UpdateFunctionEntryCount=*/false);
  }
};
} // namespace
 
char TailCallElim::ID = 0;
INITIALIZE_PASS_BEGIN(TailCallElim, "tailcallelim", "Tail Call Elimination",
                      false, false)
INITIALIZE_PASS_DEPENDENCY(TargetTransformInfoWrapperPass)
INITIALIZE_PASS_DEPENDENCY(OptimizationRemarkEmitterWrapperPass)
INITIALIZE_PASS_END(TailCallElim, "tailcallelim", "Tail Call Elimination",
                    false, false)
 
// Public interface to the TailCallElimination pass
FunctionPass *llvm::createTailCallEliminationPass() {
  return new TailCallElim();
}
 
PreservedAnalyses TailCallElimPass::run(Function &F,
                                        FunctionAnalysisManager &AM) {
 
  TargetTransformInfo &TTI = AM.getResult<TargetIRAnalysis>(F);
  AliasAnalysis &AA = AM.getResult<AAManager>(F);
  // This must come first. It needs the 2 analyses, meaning, if it came after
  // the lines asking for the cached result, should they be nullptr (which, in
  // the case of the PDT, is likely), updates to the trees would be missed.
  auto *BFI = F.getEntryCount().has_value()
                  ? &AM.getResult<BlockFrequencyAnalysis>(F)
                  : nullptr;
  auto &MAMProxy = AM.getResult<ModuleAnalysisManagerFunctionProxy>(F);
  auto *PSI = MAMProxy.getCachedResult<ProfileSummaryAnalysis>(*F.getParent());
  auto &ORE = AM.getResult<OptimizationRemarkEmitterAnalysis>(F);
  auto *DT = AM.getCachedResult<DominatorTreeAnalysis>(F);
  auto *PDT = AM.getCachedResult<PostDominatorTreeAnalysis>(F);
  // There is no noticable performance difference here between Lazy and Eager
  // UpdateStrategy based on some test results. It is feasible to switch the
  // UpdateStrategy to Lazy if we find it profitable later.
  DomTreeUpdater DTU(DT, PDT, DomTreeUpdater::UpdateStrategy::Eager);
  bool Changed = TailRecursionEliminator::eliminate(
      F, &TTI, &AA, &ORE, DTU, BFI, PSI, UpdateFunctionEntryCount);
 
  if (!Changed)
    return PreservedAnalyses::all();
  PreservedAnalyses PA;
  PA.preserve<DominatorTreeAnalysis>();
  PA.preserve<PostDominatorTreeAnalysis>();
  return PA;
}