//===- NaryReassociate.cpp - Reassociate n-ary expressions ----------------===//
//
//                     The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
//
// This pass reassociates n-ary add expressions and eliminates the redundancy
// exposed by the reassociation.
//
// A motivating example:
//
//   void foo(int a, int b) {
//     bar(a + b);
//     bar((a + 2) + b);
//   }
//
// An ideal compiler should reassociate (a + 2) + b to (a + b) + 2 and simplify
// the above code to
//
//   int t = a + b;
//   bar(t);
//   bar(t + 2);
//
// However, the Reassociate pass is unable to do that because it processes each
// instruction individually and believes (a + 2) + b is the best form according
// to its rank system.
//
// To address this limitation, NaryReassociate reassociates an expression in a
// form that reuses existing instructions. As a result, NaryReassociate can
// reassociate (a + 2) + b in the example to (a + b) + 2 because it detects that
// (a + b) is computed before.
//
// NaryReassociate works as follows. For every instruction in the form of (a +
// b) + c, it checks whether a + c or b + c is already computed by a dominating
// instruction. If so, it then reassociates (a + b) + c into (a + c) + b or (b +
// c) + a and removes the redundancy accordingly. To efficiently look up whether
// an expression is computed before, we store each instruction seen and its SCEV
// into an SCEV-to-instruction map.
//
// Although the algorithm pattern-matches only ternary additions, it
// automatically handles many >3-ary expressions by walking through the function
// in the depth-first order. For example, given
//
//   (a + c) + d
//   ((a + b) + c) + d
//
// NaryReassociate first rewrites (a + b) + c to (a + c) + b, and then rewrites
// ((a + c) + b) + d into ((a + c) + d) + b.
//
// Finally, the above dominator-based algorithm may need to be run multiple
// iterations before emitting optimal code. One source of this need is that we
// only split an operand when it is used only once. The above algorithm can
// eliminate an instruction and decrease the usage count of its operands. As a
// result, an instruction that previously had multiple uses may become a
// single-use instruction and thus eligible for split consideration. For
// example,
//
//   ac = a + c
//   ab = a + b
//   abc = ab + c
//   ab2 = ab + b
//   ab2c = ab2 + c
//
// In the first iteration, we cannot reassociate abc to ac+b because ab is used
// twice. However, we can reassociate ab2c to abc+b in the first iteration. As a
// result, ab2 becomes dead and ab will be used only once in the second
// iteration.
//
// Limitations and TODO items:
//
// 1) We only considers n-ary adds and muls for now. This should be extended
// and generalized.
//
//===----------------------------------------------------------------------===//

#include "llvm/Analysis/AssumptionCache.h"
#include "llvm/Analysis/ScalarEvolution.h"
#include "llvm/Analysis/TargetLibraryInfo.h"
#include "llvm/Analysis/TargetTransformInfo.h"
#include "llvm/Analysis/ValueTracking.h"
#include "llvm/IR/Dominators.h"
#include "llvm/IR/Module.h"
#include "llvm/IR/PatternMatch.h"
#include "llvm/Support/Debug.h"
#include "llvm/Support/raw_ostream.h"
#include "llvm/Transforms/Scalar.h"
#include "llvm/Transforms/Utils/Local.h"
using namespace llvm;
using namespace PatternMatch;

#define DEBUG_TYPE "nary-reassociate"

namespace {
class NaryReassociate : public FunctionPass {
public:
  static char ID;

  NaryReassociate(): FunctionPass(ID) {
    initializeNaryReassociatePass(*PassRegistry::getPassRegistry());
  }

  bool doInitialization(Module &M) override {
    DL = &M.getDataLayout();
    return false;
  }
  bool runOnFunction(Function &F) override;

  void getAnalysisUsage(AnalysisUsage &AU) const override {
    AU.addPreserved<DominatorTreeWrapperPass>();
    AU.addPreserved<ScalarEvolutionWrapperPass>();
    AU.addPreserved<TargetLibraryInfoWrapperPass>();
    AU.addRequired<AssumptionCacheTracker>();
    AU.addRequired<DominatorTreeWrapperPass>();
    AU.addRequired<ScalarEvolutionWrapperPass>();
    AU.addRequired<TargetLibraryInfoWrapperPass>();
    AU.addRequired<TargetTransformInfoWrapperPass>();
    AU.setPreservesCFG();
  }

private:
  // Runs only one iteration of the dominator-based algorithm. See the header
  // comments for why we need multiple iterations.
  bool doOneIteration(Function &F);

  // Reassociates I for better CSE.
  Instruction *tryReassociate(Instruction *I);

  // Reassociate GEP for better CSE.
  Instruction *tryReassociateGEP(GetElementPtrInst *GEP);
  // Try splitting GEP at the I-th index and see whether either part can be
  // CSE'ed. This is a helper function for tryReassociateGEP.
  //
  // \p IndexedType The element type indexed by GEP's I-th index. This is
  //                equivalent to
  //                  GEP->getIndexedType(GEP->getPointerOperand(), 0-th index,
  //                                      ..., i-th index).
  GetElementPtrInst *tryReassociateGEPAtIndex(GetElementPtrInst *GEP,
                                              unsigned I, Type *IndexedType);
  // Given GEP's I-th index = LHS + RHS, see whether &Base[..][LHS][..] or
  // &Base[..][RHS][..] can be CSE'ed and rewrite GEP accordingly.
  GetElementPtrInst *tryReassociateGEPAtIndex(GetElementPtrInst *GEP,
                                              unsigned I, Value *LHS,
                                              Value *RHS, Type *IndexedType);

  // Reassociate binary operators for better CSE.
  Instruction *tryReassociateBinaryOp(BinaryOperator *I);

  // A helper function for tryReassociateBinaryOp. LHS and RHS are explicitly
  // passed.
  Instruction *tryReassociateBinaryOp(Value *LHS, Value *RHS,
                                      BinaryOperator *I);
  // Rewrites I to (LHS op RHS) if LHS is computed already.
  Instruction *tryReassociatedBinaryOp(const SCEV *LHS, Value *RHS,
                                       BinaryOperator *I);

  // Tries to match Op1 and Op2 by using V.
  bool matchTernaryOp(BinaryOperator *I, Value *V, Value *&Op1, Value *&Op2);

  // Gets SCEV for (LHS op RHS).
  const SCEV *getBinarySCEV(BinaryOperator *I, const SCEV *LHS,
                            const SCEV *RHS);

  // Returns the closest dominator of \c Dominatee that computes
  // \c CandidateExpr. Returns null if not found.
  Instruction *findClosestMatchingDominator(const SCEV *CandidateExpr,
                                            Instruction *Dominatee);
  // GetElementPtrInst implicitly sign-extends an index if the index is shorter
  // than the pointer size. This function returns whether Index is shorter than
  // GEP's pointer size, i.e., whether Index needs to be sign-extended in order
  // to be an index of GEP.
  bool requiresSignExtension(Value *Index, GetElementPtrInst *GEP);

  AssumptionCache *AC;
  const DataLayout *DL;
  DominatorTree *DT;
  ScalarEvolution *SE;
  TargetLibraryInfo *TLI;
  TargetTransformInfo *TTI;
  // A lookup table quickly telling which instructions compute the given SCEV.
  // Note that there can be multiple instructions at different locations
  // computing to the same SCEV, so we map a SCEV to an instruction list.  For
  // example,
  //
  //   if (p1)
  //     foo(a + b);
  //   if (p2)
  //     bar(a + b);
  DenseMap<const SCEV *, SmallVector<WeakVH, 2>> SeenExprs;
};
} // anonymous namespace

char NaryReassociate::ID = 0;
INITIALIZE_PASS_BEGIN(NaryReassociate, "nary-reassociate", "Nary reassociation",
                      false, false)
INITIALIZE_PASS_DEPENDENCY(AssumptionCacheTracker)
INITIALIZE_PASS_DEPENDENCY(DominatorTreeWrapperPass)
INITIALIZE_PASS_DEPENDENCY(ScalarEvolutionWrapperPass)
INITIALIZE_PASS_DEPENDENCY(TargetLibraryInfoWrapperPass)
INITIALIZE_PASS_DEPENDENCY(TargetTransformInfoWrapperPass)
INITIALIZE_PASS_END(NaryReassociate, "nary-reassociate", "Nary reassociation",
                    false, false)

FunctionPass *llvm::createNaryReassociatePass() {
  return new NaryReassociate();
}

bool NaryReassociate::runOnFunction(Function &F) {
  if (skipFunction(F))
    return false;

  AC = &getAnalysis<AssumptionCacheTracker>().getAssumptionCache(F);
  DT = &getAnalysis<DominatorTreeWrapperPass>().getDomTree();
  SE = &getAnalysis<ScalarEvolutionWrapperPass>().getSE();
  TLI = &getAnalysis<TargetLibraryInfoWrapperPass>().getTLI();
  TTI = &getAnalysis<TargetTransformInfoWrapperPass>().getTTI(F);

  bool Changed = false, ChangedInThisIteration;
  do {
    ChangedInThisIteration = doOneIteration(F);
    Changed |= ChangedInThisIteration;
  } while (ChangedInThisIteration);
  return Changed;
}

// Whitelist the instruction types NaryReassociate handles for now.
static bool isPotentiallyNaryReassociable(Instruction *I) {
  switch (I->getOpcode()) {
  case Instruction::Add:
  case Instruction::GetElementPtr:
  case Instruction::Mul:
    return true;
  default:
    return false;
  }
}

bool NaryReassociate::doOneIteration(Function &F) {
  bool Changed = false;
  SeenExprs.clear();
  // Process the basic blocks in pre-order of the dominator tree. This order
  // ensures that all bases of a candidate are in Candidates when we process it.
  for (auto Node = GraphTraits<DominatorTree *>::nodes_begin(DT);
       Node != GraphTraits<DominatorTree *>::nodes_end(DT); ++Node) {
    BasicBlock *BB = Node->getBlock();
    for (auto I = BB->begin(); I != BB->end(); ++I) {
      if (SE->isSCEVable(I->getType()) && isPotentiallyNaryReassociable(&*I)) {
        const SCEV *OldSCEV = SE->getSCEV(&*I);
        if (Instruction *NewI = tryReassociate(&*I)) {
          Changed = true;
          SE->forgetValue(&*I);
          I->replaceAllUsesWith(NewI);
          // If SeenExprs constains I's WeakVH, that entry will be replaced with
          // nullptr.
          RecursivelyDeleteTriviallyDeadInstructions(&*I, TLI);
          I = NewI->getIterator();
        }
        // Add the rewritten instruction to SeenExprs; the original instruction
        // is deleted.
        const SCEV *NewSCEV = SE->getSCEV(&*I);
        SeenExprs[NewSCEV].push_back(WeakVH(&*I));
        // Ideally, NewSCEV should equal OldSCEV because tryReassociate(I)
        // is equivalent to I. However, ScalarEvolution::getSCEV may
        // weaken nsw causing NewSCEV not to equal OldSCEV. For example, suppose
        // we reassociate
        //   I = &a[sext(i +nsw j)] // assuming sizeof(a[0]) = 4
        // to
        //   NewI = &a[sext(i)] + sext(j).
        //
        // ScalarEvolution computes
        //   getSCEV(I)    = a + 4 * sext(i + j)
        //   getSCEV(newI) = a + 4 * sext(i) + 4 * sext(j)
        // which are different SCEVs.
        //
        // To alleviate this issue of ScalarEvolution not always capturing
        // equivalence, we add I to SeenExprs[OldSCEV] as well so that we can
        // map both SCEV before and after tryReassociate(I) to I.
        //
        // This improvement is exercised in @reassociate_gep_nsw in nary-gep.ll.
        if (NewSCEV != OldSCEV)
          SeenExprs[OldSCEV].push_back(WeakVH(&*I));
      }
    }
  }
  return Changed;
}

Instruction *NaryReassociate::tryReassociate(Instruction *I) {
  switch (I->getOpcode()) {
  case Instruction::Add:
  case Instruction::Mul:
    return tryReassociateBinaryOp(cast<BinaryOperator>(I));
  case Instruction::GetElementPtr:
    return tryReassociateGEP(cast<GetElementPtrInst>(I));
  default:
    llvm_unreachable("should be filtered out by isPotentiallyNaryReassociable");
  }
}

static bool isGEPFoldable(GetElementPtrInst *GEP,
                          const TargetTransformInfo *TTI) {
  SmallVector<const Value*, 4> Indices;
  for (auto I = GEP->idx_begin(); I != GEP->idx_end(); ++I)
    Indices.push_back(*I);
  return TTI->getGEPCost(GEP->getSourceElementType(), GEP->getPointerOperand(),
                         Indices) == TargetTransformInfo::TCC_Free;
}

Instruction *NaryReassociate::tryReassociateGEP(GetElementPtrInst *GEP) {
  // Not worth reassociating GEP if it is foldable.
  if (isGEPFoldable(GEP, TTI))
    return nullptr;

  gep_type_iterator GTI = gep_type_begin(*GEP);
  for (unsigned I = 1, E = GEP->getNumOperands(); I != E; ++I) {
    if (isa<SequentialType>(*GTI++)) {
      if (auto *NewGEP = tryReassociateGEPAtIndex(GEP, I - 1, *GTI)) {
        return NewGEP;
      }
    }
  }
  return nullptr;
}

bool NaryReassociate::requiresSignExtension(Value *Index,
                                            GetElementPtrInst *GEP) {
  unsigned PointerSizeInBits =
      DL->getPointerSizeInBits(GEP->getType()->getPointerAddressSpace());
  return cast<IntegerType>(Index->getType())->getBitWidth() < PointerSizeInBits;
}

GetElementPtrInst *
NaryReassociate::tryReassociateGEPAtIndex(GetElementPtrInst *GEP, unsigned I,
                                          Type *IndexedType) {
  Value *IndexToSplit = GEP->getOperand(I + 1);
  if (SExtInst *SExt = dyn_cast<SExtInst>(IndexToSplit)) {
    IndexToSplit = SExt->getOperand(0);
  } else if (ZExtInst *ZExt = dyn_cast<ZExtInst>(IndexToSplit)) {
    // zext can be treated as sext if the source is non-negative.
    if (isKnownNonNegative(ZExt->getOperand(0), *DL, 0, AC, GEP, DT))
      IndexToSplit = ZExt->getOperand(0);
  }

  if (AddOperator *AO = dyn_cast<AddOperator>(IndexToSplit)) {
    // If the I-th index needs sext and the underlying add is not equipped with
    // nsw, we cannot split the add because
    //   sext(LHS + RHS) != sext(LHS) + sext(RHS).
    if (requiresSignExtension(IndexToSplit, GEP) &&
        computeOverflowForSignedAdd(AO, *DL, AC, GEP, DT) !=
            OverflowResult::NeverOverflows)
      return nullptr;

    Value *LHS = AO->getOperand(0), *RHS = AO->getOperand(1);
    // IndexToSplit = LHS + RHS.
    if (auto *NewGEP = tryReassociateGEPAtIndex(GEP, I, LHS, RHS, IndexedType))
      return NewGEP;
    // Symmetrically, try IndexToSplit = RHS + LHS.
    if (LHS != RHS) {
      if (auto *NewGEP =
              tryReassociateGEPAtIndex(GEP, I, RHS, LHS, IndexedType))
        return NewGEP;
    }
  }
  return nullptr;
}

GetElementPtrInst *NaryReassociate::tryReassociateGEPAtIndex(
    GetElementPtrInst *GEP, unsigned I, Value *LHS, Value *RHS,
    Type *IndexedType) {
  // Look for GEP's closest dominator that has the same SCEV as GEP except that
  // the I-th index is replaced with LHS.
  SmallVector<const SCEV *, 4> IndexExprs;
  for (auto Index = GEP->idx_begin(); Index != GEP->idx_end(); ++Index)
    IndexExprs.push_back(SE->getSCEV(*Index));
  // Replace the I-th index with LHS.
  IndexExprs[I] = SE->getSCEV(LHS);
  if (isKnownNonNegative(LHS, *DL, 0, AC, GEP, DT) &&
      DL->getTypeSizeInBits(LHS->getType()) <
          DL->getTypeSizeInBits(GEP->getOperand(I)->getType())) {
    // Zero-extend LHS if it is non-negative. InstCombine canonicalizes sext to
    // zext if the source operand is proved non-negative. We should do that
    // consistently so that CandidateExpr more likely appears before. See
    // @reassociate_gep_assume for an example of this canonicalization.
    IndexExprs[I] =
        SE->getZeroExtendExpr(IndexExprs[I], GEP->getOperand(I)->getType());
  }
  const SCEV *CandidateExpr = SE->getGEPExpr(
      GEP->getSourceElementType(), SE->getSCEV(GEP->getPointerOperand()),
      IndexExprs, GEP->isInBounds());

  Value *Candidate = findClosestMatchingDominator(CandidateExpr, GEP);
  if (Candidate == nullptr)
    return nullptr;

  IRBuilder<> Builder(GEP);
  // Candidate does not necessarily have the same pointer type as GEP. Use
  // bitcast or pointer cast to make sure they have the same type, so that the
  // later RAUW doesn't complain.
  Candidate = Builder.CreateBitOrPointerCast(Candidate, GEP->getType());
  assert(Candidate->getType() == GEP->getType());

  // NewGEP = (char *)Candidate + RHS * sizeof(IndexedType)
  uint64_t IndexedSize = DL->getTypeAllocSize(IndexedType);
  Type *ElementType = GEP->getResultElementType();
  uint64_t ElementSize = DL->getTypeAllocSize(ElementType);
  // Another less rare case: because I is not necessarily the last index of the
  // GEP, the size of the type at the I-th index (IndexedSize) is not
  // necessarily divisible by ElementSize. For example,
  //
  // #pragma pack(1)
  // struct S {
  //   int a[3];
  //   int64 b[8];
  // };
  // #pragma pack()
  //
  // sizeof(S) = 100 is indivisible by sizeof(int64) = 8.
  //
  // TODO: bail out on this case for now. We could emit uglygep.
  if (IndexedSize % ElementSize != 0)
    return nullptr;

  // NewGEP = &Candidate[RHS * (sizeof(IndexedType) / sizeof(Candidate[0])));
  Type *IntPtrTy = DL->getIntPtrType(GEP->getType());
  if (RHS->getType() != IntPtrTy)
    RHS = Builder.CreateSExtOrTrunc(RHS, IntPtrTy);
  if (IndexedSize != ElementSize) {
    RHS = Builder.CreateMul(
        RHS, ConstantInt::get(IntPtrTy, IndexedSize / ElementSize));
  }
  GetElementPtrInst *NewGEP =
      cast<GetElementPtrInst>(Builder.CreateGEP(Candidate, RHS));
  NewGEP->setIsInBounds(GEP->isInBounds());
  NewGEP->takeName(GEP);
  return NewGEP;
}

Instruction *NaryReassociate::tryReassociateBinaryOp(BinaryOperator *I) {
  Value *LHS = I->getOperand(0), *RHS = I->getOperand(1);
  if (auto *NewI = tryReassociateBinaryOp(LHS, RHS, I))
    return NewI;
  if (auto *NewI = tryReassociateBinaryOp(RHS, LHS, I))
    return NewI;
  return nullptr;
}

Instruction *NaryReassociate::tryReassociateBinaryOp(Value *LHS, Value *RHS,
                                                     BinaryOperator *I) {
  Value *A = nullptr, *B = nullptr;
  // To be conservative, we reassociate I only when it is the only user of (A op
  // B).
  if (LHS->hasOneUse() && matchTernaryOp(I, LHS, A, B)) {
    // I = (A op B) op RHS
    //   = (A op RHS) op B or (B op RHS) op A
    const SCEV *AExpr = SE->getSCEV(A), *BExpr = SE->getSCEV(B);
    const SCEV *RHSExpr = SE->getSCEV(RHS);
    if (BExpr != RHSExpr) {
      if (auto *NewI =
              tryReassociatedBinaryOp(getBinarySCEV(I, AExpr, RHSExpr), B, I))
        return NewI;
    }
    if (AExpr != RHSExpr) {
      if (auto *NewI =
              tryReassociatedBinaryOp(getBinarySCEV(I, BExpr, RHSExpr), A, I))
        return NewI;
    }
  }
  return nullptr;
}

Instruction *NaryReassociate::tryReassociatedBinaryOp(const SCEV *LHSExpr,
                                                      Value *RHS,
                                                      BinaryOperator *I) {
  // Look for the closest dominator LHS of I that computes LHSExpr, and replace
  // I with LHS op RHS.
  auto *LHS = findClosestMatchingDominator(LHSExpr, I);
  if (LHS == nullptr)
    return nullptr;

  Instruction *NewI = nullptr;
  switch (I->getOpcode()) {
  case Instruction::Add:
    NewI = BinaryOperator::CreateAdd(LHS, RHS, "", I);
    break;
  case Instruction::Mul:
    NewI = BinaryOperator::CreateMul(LHS, RHS, "", I);
    break;
  default:
    llvm_unreachable("Unexpected instruction.");
  }
  NewI->takeName(I);
  return NewI;
}

bool NaryReassociate::matchTernaryOp(BinaryOperator *I, Value *V, Value *&Op1,
                                     Value *&Op2) {
  switch (I->getOpcode()) {
  case Instruction::Add:
    return match(V, m_Add(m_Value(Op1), m_Value(Op2)));
  case Instruction::Mul:
    return match(V, m_Mul(m_Value(Op1), m_Value(Op2)));
  default:
    llvm_unreachable("Unexpected instruction.");
  }
  return false;
}

const SCEV *NaryReassociate::getBinarySCEV(BinaryOperator *I, const SCEV *LHS,
                                           const SCEV *RHS) {
  switch (I->getOpcode()) {
  case Instruction::Add:
    return SE->getAddExpr(LHS, RHS);
  case Instruction::Mul:
    return SE->getMulExpr(LHS, RHS);
  default:
    llvm_unreachable("Unexpected instruction.");
  }
  return nullptr;
}

Instruction *
NaryReassociate::findClosestMatchingDominator(const SCEV *CandidateExpr,
                                              Instruction *Dominatee) {
  auto Pos = SeenExprs.find(CandidateExpr);
  if (Pos == SeenExprs.end())
    return nullptr;

  auto &Candidates = Pos->second;
  // Because we process the basic blocks in pre-order of the dominator tree, a
  // candidate that doesn't dominate the current instruction won't dominate any
  // future instruction either. Therefore, we pop it out of the stack. This
  // optimization makes the algorithm O(n).
  while (!Candidates.empty()) {
    // Candidates stores WeakVHs, so a candidate can be nullptr if it's removed
    // during rewriting.
    if (Value *Candidate = Candidates.back()) {
      Instruction *CandidateInstruction = cast<Instruction>(Candidate);
      if (DT->dominates(CandidateInstruction, Dominatee))
        return CandidateInstruction;
    }
    Candidates.pop_back();
  }
  return nullptr;
}