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      1 //===- NaryReassociate.cpp - Reassociate n-ary expressions ----------------===//
      2 //
      3 //                     The LLVM Compiler Infrastructure
      4 //
      5 // This file is distributed under the University of Illinois Open Source
      6 // License. See LICENSE.TXT for details.
      7 //
      8 //===----------------------------------------------------------------------===//
      9 //
     10 // This pass reassociates n-ary add expressions and eliminates the redundancy
     11 // exposed by the reassociation.
     12 //
     13 // A motivating example:
     14 //
     15 //   void foo(int a, int b) {
     16 //     bar(a + b);
     17 //     bar((a + 2) + b);
     18 //   }
     19 //
     20 // An ideal compiler should reassociate (a + 2) + b to (a + b) + 2 and simplify
     21 // the above code to
     22 //
     23 //   int t = a + b;
     24 //   bar(t);
     25 //   bar(t + 2);
     26 //
     27 // However, the Reassociate pass is unable to do that because it processes each
     28 // instruction individually and believes (a + 2) + b is the best form according
     29 // to its rank system.
     30 //
     31 // To address this limitation, NaryReassociate reassociates an expression in a
     32 // form that reuses existing instructions. As a result, NaryReassociate can
     33 // reassociate (a + 2) + b in the example to (a + b) + 2 because it detects that
     34 // (a + b) is computed before.
     35 //
     36 // NaryReassociate works as follows. For every instruction in the form of (a +
     37 // b) + c, it checks whether a + c or b + c is already computed by a dominating
     38 // instruction. If so, it then reassociates (a + b) + c into (a + c) + b or (b +
     39 // c) + a and removes the redundancy accordingly. To efficiently look up whether
     40 // an expression is computed before, we store each instruction seen and its SCEV
     41 // into an SCEV-to-instruction map.
     42 //
     43 // Although the algorithm pattern-matches only ternary additions, it
     44 // automatically handles many >3-ary expressions by walking through the function
     45 // in the depth-first order. For example, given
     46 //
     47 //   (a + c) + d
     48 //   ((a + b) + c) + d
     49 //
     50 // NaryReassociate first rewrites (a + b) + c to (a + c) + b, and then rewrites
     51 // ((a + c) + b) + d into ((a + c) + d) + b.
     52 //
     53 // Finally, the above dominator-based algorithm may need to be run multiple
     54 // iterations before emitting optimal code. One source of this need is that we
     55 // only split an operand when it is used only once. The above algorithm can
     56 // eliminate an instruction and decrease the usage count of its operands. As a
     57 // result, an instruction that previously had multiple uses may become a
     58 // single-use instruction and thus eligible for split consideration. For
     59 // example,
     60 //
     61 //   ac = a + c
     62 //   ab = a + b
     63 //   abc = ab + c
     64 //   ab2 = ab + b
     65 //   ab2c = ab2 + c
     66 //
     67 // In the first iteration, we cannot reassociate abc to ac+b because ab is used
     68 // twice. However, we can reassociate ab2c to abc+b in the first iteration. As a
     69 // result, ab2 becomes dead and ab will be used only once in the second
     70 // iteration.
     71 //
     72 // Limitations and TODO items:
     73 //
     74 // 1) We only considers n-ary adds and muls for now. This should be extended
     75 // and generalized.
     76 //
     77 //===----------------------------------------------------------------------===//
     78 
     79 #include "llvm/Analysis/AssumptionCache.h"
     80 #include "llvm/Analysis/ScalarEvolution.h"
     81 #include "llvm/Analysis/TargetLibraryInfo.h"
     82 #include "llvm/Analysis/TargetTransformInfo.h"
     83 #include "llvm/Analysis/ValueTracking.h"
     84 #include "llvm/IR/Dominators.h"
     85 #include "llvm/IR/Module.h"
     86 #include "llvm/IR/PatternMatch.h"
     87 #include "llvm/Support/Debug.h"
     88 #include "llvm/Support/raw_ostream.h"
     89 #include "llvm/Transforms/Scalar.h"
     90 #include "llvm/Transforms/Utils/Local.h"
     91 using namespace llvm;
     92 using namespace PatternMatch;
     93 
     94 #define DEBUG_TYPE "nary-reassociate"
     95 
     96 namespace {
     97 class NaryReassociate : public FunctionPass {
     98 public:
     99   static char ID;
    100 
    101   NaryReassociate(): FunctionPass(ID) {
    102     initializeNaryReassociatePass(*PassRegistry::getPassRegistry());
    103   }
    104 
    105   bool doInitialization(Module &M) override {
    106     DL = &M.getDataLayout();
    107     return false;
    108   }
    109   bool runOnFunction(Function &F) override;
    110 
    111   void getAnalysisUsage(AnalysisUsage &AU) const override {
    112     AU.addPreserved<DominatorTreeWrapperPass>();
    113     AU.addPreserved<ScalarEvolutionWrapperPass>();
    114     AU.addPreserved<TargetLibraryInfoWrapperPass>();
    115     AU.addRequired<AssumptionCacheTracker>();
    116     AU.addRequired<DominatorTreeWrapperPass>();
    117     AU.addRequired<ScalarEvolutionWrapperPass>();
    118     AU.addRequired<TargetLibraryInfoWrapperPass>();
    119     AU.addRequired<TargetTransformInfoWrapperPass>();
    120     AU.setPreservesCFG();
    121   }
    122 
    123 private:
    124   // Runs only one iteration of the dominator-based algorithm. See the header
    125   // comments for why we need multiple iterations.
    126   bool doOneIteration(Function &F);
    127 
    128   // Reassociates I for better CSE.
    129   Instruction *tryReassociate(Instruction *I);
    130 
    131   // Reassociate GEP for better CSE.
    132   Instruction *tryReassociateGEP(GetElementPtrInst *GEP);
    133   // Try splitting GEP at the I-th index and see whether either part can be
    134   // CSE'ed. This is a helper function for tryReassociateGEP.
    135   //
    136   // \p IndexedType The element type indexed by GEP's I-th index. This is
    137   //                equivalent to
    138   //                  GEP->getIndexedType(GEP->getPointerOperand(), 0-th index,
    139   //                                      ..., i-th index).
    140   GetElementPtrInst *tryReassociateGEPAtIndex(GetElementPtrInst *GEP,
    141                                               unsigned I, Type *IndexedType);
    142   // Given GEP's I-th index = LHS + RHS, see whether &Base[..][LHS][..] or
    143   // &Base[..][RHS][..] can be CSE'ed and rewrite GEP accordingly.
    144   GetElementPtrInst *tryReassociateGEPAtIndex(GetElementPtrInst *GEP,
    145                                               unsigned I, Value *LHS,
    146                                               Value *RHS, Type *IndexedType);
    147 
    148   // Reassociate binary operators for better CSE.
    149   Instruction *tryReassociateBinaryOp(BinaryOperator *I);
    150 
    151   // A helper function for tryReassociateBinaryOp. LHS and RHS are explicitly
    152   // passed.
    153   Instruction *tryReassociateBinaryOp(Value *LHS, Value *RHS,
    154                                       BinaryOperator *I);
    155   // Rewrites I to (LHS op RHS) if LHS is computed already.
    156   Instruction *tryReassociatedBinaryOp(const SCEV *LHS, Value *RHS,
    157                                        BinaryOperator *I);
    158 
    159   // Tries to match Op1 and Op2 by using V.
    160   bool matchTernaryOp(BinaryOperator *I, Value *V, Value *&Op1, Value *&Op2);
    161 
    162   // Gets SCEV for (LHS op RHS).
    163   const SCEV *getBinarySCEV(BinaryOperator *I, const SCEV *LHS,
    164                             const SCEV *RHS);
    165 
    166   // Returns the closest dominator of \c Dominatee that computes
    167   // \c CandidateExpr. Returns null if not found.
    168   Instruction *findClosestMatchingDominator(const SCEV *CandidateExpr,
    169                                             Instruction *Dominatee);
    170   // GetElementPtrInst implicitly sign-extends an index if the index is shorter
    171   // than the pointer size. This function returns whether Index is shorter than
    172   // GEP's pointer size, i.e., whether Index needs to be sign-extended in order
    173   // to be an index of GEP.
    174   bool requiresSignExtension(Value *Index, GetElementPtrInst *GEP);
    175 
    176   AssumptionCache *AC;
    177   const DataLayout *DL;
    178   DominatorTree *DT;
    179   ScalarEvolution *SE;
    180   TargetLibraryInfo *TLI;
    181   TargetTransformInfo *TTI;
    182   // A lookup table quickly telling which instructions compute the given SCEV.
    183   // Note that there can be multiple instructions at different locations
    184   // computing to the same SCEV, so we map a SCEV to an instruction list.  For
    185   // example,
    186   //
    187   //   if (p1)
    188   //     foo(a + b);
    189   //   if (p2)
    190   //     bar(a + b);
    191   DenseMap<const SCEV *, SmallVector<WeakVH, 2>> SeenExprs;
    192 };
    193 } // anonymous namespace
    194 
    195 char NaryReassociate::ID = 0;
    196 INITIALIZE_PASS_BEGIN(NaryReassociate, "nary-reassociate", "Nary reassociation",
    197                       false, false)
    198 INITIALIZE_PASS_DEPENDENCY(AssumptionCacheTracker)
    199 INITIALIZE_PASS_DEPENDENCY(DominatorTreeWrapperPass)
    200 INITIALIZE_PASS_DEPENDENCY(ScalarEvolutionWrapperPass)
    201 INITIALIZE_PASS_DEPENDENCY(TargetLibraryInfoWrapperPass)
    202 INITIALIZE_PASS_DEPENDENCY(TargetTransformInfoWrapperPass)
    203 INITIALIZE_PASS_END(NaryReassociate, "nary-reassociate", "Nary reassociation",
    204                     false, false)
    205 
    206 FunctionPass *llvm::createNaryReassociatePass() {
    207   return new NaryReassociate();
    208 }
    209 
    210 bool NaryReassociate::runOnFunction(Function &F) {
    211   if (skipOptnoneFunction(F))
    212     return false;
    213 
    214   AC = &getAnalysis<AssumptionCacheTracker>().getAssumptionCache(F);
    215   DT = &getAnalysis<DominatorTreeWrapperPass>().getDomTree();
    216   SE = &getAnalysis<ScalarEvolutionWrapperPass>().getSE();
    217   TLI = &getAnalysis<TargetLibraryInfoWrapperPass>().getTLI();
    218   TTI = &getAnalysis<TargetTransformInfoWrapperPass>().getTTI(F);
    219 
    220   bool Changed = false, ChangedInThisIteration;
    221   do {
    222     ChangedInThisIteration = doOneIteration(F);
    223     Changed |= ChangedInThisIteration;
    224   } while (ChangedInThisIteration);
    225   return Changed;
    226 }
    227 
    228 // Whitelist the instruction types NaryReassociate handles for now.
    229 static bool isPotentiallyNaryReassociable(Instruction *I) {
    230   switch (I->getOpcode()) {
    231   case Instruction::Add:
    232   case Instruction::GetElementPtr:
    233   case Instruction::Mul:
    234     return true;
    235   default:
    236     return false;
    237   }
    238 }
    239 
    240 bool NaryReassociate::doOneIteration(Function &F) {
    241   bool Changed = false;
    242   SeenExprs.clear();
    243   // Process the basic blocks in pre-order of the dominator tree. This order
    244   // ensures that all bases of a candidate are in Candidates when we process it.
    245   for (auto Node = GraphTraits<DominatorTree *>::nodes_begin(DT);
    246        Node != GraphTraits<DominatorTree *>::nodes_end(DT); ++Node) {
    247     BasicBlock *BB = Node->getBlock();
    248     for (auto I = BB->begin(); I != BB->end(); ++I) {
    249       if (SE->isSCEVable(I->getType()) && isPotentiallyNaryReassociable(&*I)) {
    250         const SCEV *OldSCEV = SE->getSCEV(&*I);
    251         if (Instruction *NewI = tryReassociate(&*I)) {
    252           Changed = true;
    253           SE->forgetValue(&*I);
    254           I->replaceAllUsesWith(NewI);
    255           // If SeenExprs constains I's WeakVH, that entry will be replaced with
    256           // nullptr.
    257           RecursivelyDeleteTriviallyDeadInstructions(&*I, TLI);
    258           I = NewI->getIterator();
    259         }
    260         // Add the rewritten instruction to SeenExprs; the original instruction
    261         // is deleted.
    262         const SCEV *NewSCEV = SE->getSCEV(&*I);
    263         SeenExprs[NewSCEV].push_back(WeakVH(&*I));
    264         // Ideally, NewSCEV should equal OldSCEV because tryReassociate(I)
    265         // is equivalent to I. However, ScalarEvolution::getSCEV may
    266         // weaken nsw causing NewSCEV not to equal OldSCEV. For example, suppose
    267         // we reassociate
    268         //   I = &a[sext(i +nsw j)] // assuming sizeof(a[0]) = 4
    269         // to
    270         //   NewI = &a[sext(i)] + sext(j).
    271         //
    272         // ScalarEvolution computes
    273         //   getSCEV(I)    = a + 4 * sext(i + j)
    274         //   getSCEV(newI) = a + 4 * sext(i) + 4 * sext(j)
    275         // which are different SCEVs.
    276         //
    277         // To alleviate this issue of ScalarEvolution not always capturing
    278         // equivalence, we add I to SeenExprs[OldSCEV] as well so that we can
    279         // map both SCEV before and after tryReassociate(I) to I.
    280         //
    281         // This improvement is exercised in @reassociate_gep_nsw in nary-gep.ll.
    282         if (NewSCEV != OldSCEV)
    283           SeenExprs[OldSCEV].push_back(WeakVH(&*I));
    284       }
    285     }
    286   }
    287   return Changed;
    288 }
    289 
    290 Instruction *NaryReassociate::tryReassociate(Instruction *I) {
    291   switch (I->getOpcode()) {
    292   case Instruction::Add:
    293   case Instruction::Mul:
    294     return tryReassociateBinaryOp(cast<BinaryOperator>(I));
    295   case Instruction::GetElementPtr:
    296     return tryReassociateGEP(cast<GetElementPtrInst>(I));
    297   default:
    298     llvm_unreachable("should be filtered out by isPotentiallyNaryReassociable");
    299   }
    300 }
    301 
    302 // FIXME: extract this method into TTI->getGEPCost.
    303 static bool isGEPFoldable(GetElementPtrInst *GEP,
    304                           const TargetTransformInfo *TTI,
    305                           const DataLayout *DL) {
    306   GlobalVariable *BaseGV = nullptr;
    307   int64_t BaseOffset = 0;
    308   bool HasBaseReg = false;
    309   int64_t Scale = 0;
    310 
    311   if (GlobalVariable *GV = dyn_cast<GlobalVariable>(GEP->getPointerOperand()))
    312     BaseGV = GV;
    313   else
    314     HasBaseReg = true;
    315 
    316   gep_type_iterator GTI = gep_type_begin(GEP);
    317   for (auto I = GEP->idx_begin(); I != GEP->idx_end(); ++I, ++GTI) {
    318     if (isa<SequentialType>(*GTI)) {
    319       int64_t ElementSize = DL->getTypeAllocSize(GTI.getIndexedType());
    320       if (ConstantInt *ConstIdx = dyn_cast<ConstantInt>(*I)) {
    321         BaseOffset += ConstIdx->getSExtValue() * ElementSize;
    322       } else {
    323         // Needs scale register.
    324         if (Scale != 0) {
    325           // No addressing mode takes two scale registers.
    326           return false;
    327         }
    328         Scale = ElementSize;
    329       }
    330     } else {
    331       StructType *STy = cast<StructType>(*GTI);
    332       uint64_t Field = cast<ConstantInt>(*I)->getZExtValue();
    333       BaseOffset += DL->getStructLayout(STy)->getElementOffset(Field);
    334     }
    335   }
    336 
    337   unsigned AddrSpace = GEP->getPointerAddressSpace();
    338   return TTI->isLegalAddressingMode(GEP->getType()->getElementType(), BaseGV,
    339                                     BaseOffset, HasBaseReg, Scale, AddrSpace);
    340 }
    341 
    342 Instruction *NaryReassociate::tryReassociateGEP(GetElementPtrInst *GEP) {
    343   // Not worth reassociating GEP if it is foldable.
    344   if (isGEPFoldable(GEP, TTI, DL))
    345     return nullptr;
    346 
    347   gep_type_iterator GTI = gep_type_begin(*GEP);
    348   for (unsigned I = 1, E = GEP->getNumOperands(); I != E; ++I) {
    349     if (isa<SequentialType>(*GTI++)) {
    350       if (auto *NewGEP = tryReassociateGEPAtIndex(GEP, I - 1, *GTI)) {
    351         return NewGEP;
    352       }
    353     }
    354   }
    355   return nullptr;
    356 }
    357 
    358 bool NaryReassociate::requiresSignExtension(Value *Index,
    359                                             GetElementPtrInst *GEP) {
    360   unsigned PointerSizeInBits =
    361       DL->getPointerSizeInBits(GEP->getType()->getPointerAddressSpace());
    362   return cast<IntegerType>(Index->getType())->getBitWidth() < PointerSizeInBits;
    363 }
    364 
    365 GetElementPtrInst *
    366 NaryReassociate::tryReassociateGEPAtIndex(GetElementPtrInst *GEP, unsigned I,
    367                                           Type *IndexedType) {
    368   Value *IndexToSplit = GEP->getOperand(I + 1);
    369   if (SExtInst *SExt = dyn_cast<SExtInst>(IndexToSplit)) {
    370     IndexToSplit = SExt->getOperand(0);
    371   } else if (ZExtInst *ZExt = dyn_cast<ZExtInst>(IndexToSplit)) {
    372     // zext can be treated as sext if the source is non-negative.
    373     if (isKnownNonNegative(ZExt->getOperand(0), *DL, 0, AC, GEP, DT))
    374       IndexToSplit = ZExt->getOperand(0);
    375   }
    376 
    377   if (AddOperator *AO = dyn_cast<AddOperator>(IndexToSplit)) {
    378     // If the I-th index needs sext and the underlying add is not equipped with
    379     // nsw, we cannot split the add because
    380     //   sext(LHS + RHS) != sext(LHS) + sext(RHS).
    381     if (requiresSignExtension(IndexToSplit, GEP) &&
    382         computeOverflowForSignedAdd(AO, *DL, AC, GEP, DT) !=
    383             OverflowResult::NeverOverflows)
    384       return nullptr;
    385 
    386     Value *LHS = AO->getOperand(0), *RHS = AO->getOperand(1);
    387     // IndexToSplit = LHS + RHS.
    388     if (auto *NewGEP = tryReassociateGEPAtIndex(GEP, I, LHS, RHS, IndexedType))
    389       return NewGEP;
    390     // Symmetrically, try IndexToSplit = RHS + LHS.
    391     if (LHS != RHS) {
    392       if (auto *NewGEP =
    393               tryReassociateGEPAtIndex(GEP, I, RHS, LHS, IndexedType))
    394         return NewGEP;
    395     }
    396   }
    397   return nullptr;
    398 }
    399 
    400 GetElementPtrInst *NaryReassociate::tryReassociateGEPAtIndex(
    401     GetElementPtrInst *GEP, unsigned I, Value *LHS, Value *RHS,
    402     Type *IndexedType) {
    403   // Look for GEP's closest dominator that has the same SCEV as GEP except that
    404   // the I-th index is replaced with LHS.
    405   SmallVector<const SCEV *, 4> IndexExprs;
    406   for (auto Index = GEP->idx_begin(); Index != GEP->idx_end(); ++Index)
    407     IndexExprs.push_back(SE->getSCEV(*Index));
    408   // Replace the I-th index with LHS.
    409   IndexExprs[I] = SE->getSCEV(LHS);
    410   if (isKnownNonNegative(LHS, *DL, 0, AC, GEP, DT) &&
    411       DL->getTypeSizeInBits(LHS->getType()) <
    412           DL->getTypeSizeInBits(GEP->getOperand(I)->getType())) {
    413     // Zero-extend LHS if it is non-negative. InstCombine canonicalizes sext to
    414     // zext if the source operand is proved non-negative. We should do that
    415     // consistently so that CandidateExpr more likely appears before. See
    416     // @reassociate_gep_assume for an example of this canonicalization.
    417     IndexExprs[I] =
    418         SE->getZeroExtendExpr(IndexExprs[I], GEP->getOperand(I)->getType());
    419   }
    420   const SCEV *CandidateExpr = SE->getGEPExpr(
    421       GEP->getSourceElementType(), SE->getSCEV(GEP->getPointerOperand()),
    422       IndexExprs, GEP->isInBounds());
    423 
    424   Value *Candidate = findClosestMatchingDominator(CandidateExpr, GEP);
    425   if (Candidate == nullptr)
    426     return nullptr;
    427 
    428   IRBuilder<> Builder(GEP);
    429   // Candidate does not necessarily have the same pointer type as GEP. Use
    430   // bitcast or pointer cast to make sure they have the same type, so that the
    431   // later RAUW doesn't complain.
    432   Candidate = Builder.CreateBitOrPointerCast(Candidate, GEP->getType());
    433   assert(Candidate->getType() == GEP->getType());
    434 
    435   // NewGEP = (char *)Candidate + RHS * sizeof(IndexedType)
    436   uint64_t IndexedSize = DL->getTypeAllocSize(IndexedType);
    437   Type *ElementType = GEP->getType()->getElementType();
    438   uint64_t ElementSize = DL->getTypeAllocSize(ElementType);
    439   // Another less rare case: because I is not necessarily the last index of the
    440   // GEP, the size of the type at the I-th index (IndexedSize) is not
    441   // necessarily divisible by ElementSize. For example,
    442   //
    443   // #pragma pack(1)
    444   // struct S {
    445   //   int a[3];
    446   //   int64 b[8];
    447   // };
    448   // #pragma pack()
    449   //
    450   // sizeof(S) = 100 is indivisible by sizeof(int64) = 8.
    451   //
    452   // TODO: bail out on this case for now. We could emit uglygep.
    453   if (IndexedSize % ElementSize != 0)
    454     return nullptr;
    455 
    456   // NewGEP = &Candidate[RHS * (sizeof(IndexedType) / sizeof(Candidate[0])));
    457   Type *IntPtrTy = DL->getIntPtrType(GEP->getType());
    458   if (RHS->getType() != IntPtrTy)
    459     RHS = Builder.CreateSExtOrTrunc(RHS, IntPtrTy);
    460   if (IndexedSize != ElementSize) {
    461     RHS = Builder.CreateMul(
    462         RHS, ConstantInt::get(IntPtrTy, IndexedSize / ElementSize));
    463   }
    464   GetElementPtrInst *NewGEP =
    465       cast<GetElementPtrInst>(Builder.CreateGEP(Candidate, RHS));
    466   NewGEP->setIsInBounds(GEP->isInBounds());
    467   NewGEP->takeName(GEP);
    468   return NewGEP;
    469 }
    470 
    471 Instruction *NaryReassociate::tryReassociateBinaryOp(BinaryOperator *I) {
    472   Value *LHS = I->getOperand(0), *RHS = I->getOperand(1);
    473   if (auto *NewI = tryReassociateBinaryOp(LHS, RHS, I))
    474     return NewI;
    475   if (auto *NewI = tryReassociateBinaryOp(RHS, LHS, I))
    476     return NewI;
    477   return nullptr;
    478 }
    479 
    480 Instruction *NaryReassociate::tryReassociateBinaryOp(Value *LHS, Value *RHS,
    481                                                      BinaryOperator *I) {
    482   Value *A = nullptr, *B = nullptr;
    483   // To be conservative, we reassociate I only when it is the only user of (A op
    484   // B).
    485   if (LHS->hasOneUse() && matchTernaryOp(I, LHS, A, B)) {
    486     // I = (A op B) op RHS
    487     //   = (A op RHS) op B or (B op RHS) op A
    488     const SCEV *AExpr = SE->getSCEV(A), *BExpr = SE->getSCEV(B);
    489     const SCEV *RHSExpr = SE->getSCEV(RHS);
    490     if (BExpr != RHSExpr) {
    491       if (auto *NewI =
    492               tryReassociatedBinaryOp(getBinarySCEV(I, AExpr, RHSExpr), B, I))
    493         return NewI;
    494     }
    495     if (AExpr != RHSExpr) {
    496       if (auto *NewI =
    497               tryReassociatedBinaryOp(getBinarySCEV(I, BExpr, RHSExpr), A, I))
    498         return NewI;
    499     }
    500   }
    501   return nullptr;
    502 }
    503 
    504 Instruction *NaryReassociate::tryReassociatedBinaryOp(const SCEV *LHSExpr,
    505                                                       Value *RHS,
    506                                                       BinaryOperator *I) {
    507   // Look for the closest dominator LHS of I that computes LHSExpr, and replace
    508   // I with LHS op RHS.
    509   auto *LHS = findClosestMatchingDominator(LHSExpr, I);
    510   if (LHS == nullptr)
    511     return nullptr;
    512 
    513   Instruction *NewI = nullptr;
    514   switch (I->getOpcode()) {
    515   case Instruction::Add:
    516     NewI = BinaryOperator::CreateAdd(LHS, RHS, "", I);
    517     break;
    518   case Instruction::Mul:
    519     NewI = BinaryOperator::CreateMul(LHS, RHS, "", I);
    520     break;
    521   default:
    522     llvm_unreachable("Unexpected instruction.");
    523   }
    524   NewI->takeName(I);
    525   return NewI;
    526 }
    527 
    528 bool NaryReassociate::matchTernaryOp(BinaryOperator *I, Value *V, Value *&Op1,
    529                                      Value *&Op2) {
    530   switch (I->getOpcode()) {
    531   case Instruction::Add:
    532     return match(V, m_Add(m_Value(Op1), m_Value(Op2)));
    533   case Instruction::Mul:
    534     return match(V, m_Mul(m_Value(Op1), m_Value(Op2)));
    535   default:
    536     llvm_unreachable("Unexpected instruction.");
    537   }
    538   return false;
    539 }
    540 
    541 const SCEV *NaryReassociate::getBinarySCEV(BinaryOperator *I, const SCEV *LHS,
    542                                            const SCEV *RHS) {
    543   switch (I->getOpcode()) {
    544   case Instruction::Add:
    545     return SE->getAddExpr(LHS, RHS);
    546   case Instruction::Mul:
    547     return SE->getMulExpr(LHS, RHS);
    548   default:
    549     llvm_unreachable("Unexpected instruction.");
    550   }
    551   return nullptr;
    552 }
    553 
    554 Instruction *
    555 NaryReassociate::findClosestMatchingDominator(const SCEV *CandidateExpr,
    556                                               Instruction *Dominatee) {
    557   auto Pos = SeenExprs.find(CandidateExpr);
    558   if (Pos == SeenExprs.end())
    559     return nullptr;
    560 
    561   auto &Candidates = Pos->second;
    562   // Because we process the basic blocks in pre-order of the dominator tree, a
    563   // candidate that doesn't dominate the current instruction won't dominate any
    564   // future instruction either. Therefore, we pop it out of the stack. This
    565   // optimization makes the algorithm O(n).
    566   while (!Candidates.empty()) {
    567     // Candidates stores WeakVHs, so a candidate can be nullptr if it's removed
    568     // during rewriting.
    569     if (Value *Candidate = Candidates.back()) {
    570       Instruction *CandidateInstruction = cast<Instruction>(Candidate);
    571       if (DT->dominates(CandidateInstruction, Dominatee))
    572         return CandidateInstruction;
    573     }
    574     Candidates.pop_back();
    575   }
    576   return nullptr;
    577 }
    578