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      1 //===- DivRemPairs.cpp - Hoist/[dr]ecompose division and remainder --------===//
      2 //
      3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
      4 // See https://llvm.org/LICENSE.txt for license information.
      5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
      6 //
      7 //===----------------------------------------------------------------------===//
      8 //
      9 // This pass hoists and/or decomposes/recomposes integer division and remainder
     10 // instructions to enable CFG improvements and better codegen.
     11 //
     12 //===----------------------------------------------------------------------===//
     13 
     14 #include "llvm/Transforms/Scalar/DivRemPairs.h"
     15 #include "llvm/ADT/DenseMap.h"
     16 #include "llvm/ADT/MapVector.h"
     17 #include "llvm/ADT/Statistic.h"
     18 #include "llvm/Analysis/GlobalsModRef.h"
     19 #include "llvm/Analysis/TargetTransformInfo.h"
     20 #include "llvm/Analysis/ValueTracking.h"
     21 #include "llvm/IR/Dominators.h"
     22 #include "llvm/IR/Function.h"
     23 #include "llvm/IR/PatternMatch.h"
     24 #include "llvm/InitializePasses.h"
     25 #include "llvm/Pass.h"
     26 #include "llvm/Support/DebugCounter.h"
     27 #include "llvm/Transforms/Scalar.h"
     28 #include "llvm/Transforms/Utils/BypassSlowDivision.h"
     29 
     30 using namespace llvm;
     31 using namespace llvm::PatternMatch;
     32 
     33 #define DEBUG_TYPE "div-rem-pairs"
     34 STATISTIC(NumPairs, "Number of div/rem pairs");
     35 STATISTIC(NumRecomposed, "Number of instructions recomposed");
     36 STATISTIC(NumHoisted, "Number of instructions hoisted");
     37 STATISTIC(NumDecomposed, "Number of instructions decomposed");
     38 DEBUG_COUNTER(DRPCounter, "div-rem-pairs-transform",
     39               "Controls transformations in div-rem-pairs pass");
     40 
     41 namespace {
     42 struct ExpandedMatch {
     43   DivRemMapKey Key;
     44   Instruction *Value;
     45 };
     46 } // namespace
     47 
     48 /// See if we can match: (which is the form we expand into)
     49 ///   X - ((X ?/ Y) * Y)
     50 /// which is equivalent to:
     51 ///   X ?% Y
     52 static llvm::Optional<ExpandedMatch> matchExpandedRem(Instruction &I) {
     53   Value *Dividend, *XroundedDownToMultipleOfY;
     54   if (!match(&I, m_Sub(m_Value(Dividend), m_Value(XroundedDownToMultipleOfY))))
     55     return llvm::None;
     56 
     57   Value *Divisor;
     58   Instruction *Div;
     59   // Look for  ((X / Y) * Y)
     60   if (!match(
     61           XroundedDownToMultipleOfY,
     62           m_c_Mul(m_CombineAnd(m_IDiv(m_Specific(Dividend), m_Value(Divisor)),
     63                                m_Instruction(Div)),
     64                   m_Deferred(Divisor))))
     65     return llvm::None;
     66 
     67   ExpandedMatch M;
     68   M.Key.SignedOp = Div->getOpcode() == Instruction::SDiv;
     69   M.Key.Dividend = Dividend;
     70   M.Key.Divisor = Divisor;
     71   M.Value = &I;
     72   return M;
     73 }
     74 
     75 namespace {
     76 /// A thin wrapper to store two values that we matched as div-rem pair.
     77 /// We want this extra indirection to avoid dealing with RAUW'ing the map keys.
     78 struct DivRemPairWorklistEntry {
     79   /// The actual udiv/sdiv instruction. Source of truth.
     80   AssertingVH<Instruction> DivInst;
     81 
     82   /// The instruction that we have matched as a remainder instruction.
     83   /// Should only be used as Value, don't introspect it.
     84   AssertingVH<Instruction> RemInst;
     85 
     86   DivRemPairWorklistEntry(Instruction *DivInst_, Instruction *RemInst_)
     87       : DivInst(DivInst_), RemInst(RemInst_) {
     88     assert((DivInst->getOpcode() == Instruction::UDiv ||
     89             DivInst->getOpcode() == Instruction::SDiv) &&
     90            "Not a division.");
     91     assert(DivInst->getType() == RemInst->getType() && "Types should match.");
     92     // We can't check anything else about remainder instruction,
     93     // it's not strictly required to be a urem/srem.
     94   }
     95 
     96   /// The type for this pair, identical for both the div and rem.
     97   Type *getType() const { return DivInst->getType(); }
     98 
     99   /// Is this pair signed or unsigned?
    100   bool isSigned() const { return DivInst->getOpcode() == Instruction::SDiv; }
    101 
    102   /// In this pair, what are the divident and divisor?
    103   Value *getDividend() const { return DivInst->getOperand(0); }
    104   Value *getDivisor() const { return DivInst->getOperand(1); }
    105 
    106   bool isRemExpanded() const {
    107     switch (RemInst->getOpcode()) {
    108     case Instruction::SRem:
    109     case Instruction::URem:
    110       return false; // single 'rem' instruction - unexpanded form.
    111     default:
    112       return true; // anything else means we have remainder in expanded form.
    113     }
    114   }
    115 };
    116 } // namespace
    117 using DivRemWorklistTy = SmallVector<DivRemPairWorklistEntry, 4>;
    118 
    119 /// Find matching pairs of integer div/rem ops (they have the same numerator,
    120 /// denominator, and signedness). Place those pairs into a worklist for further
    121 /// processing. This indirection is needed because we have to use TrackingVH<>
    122 /// because we will be doing RAUW, and if one of the rem instructions we change
    123 /// happens to be an input to another div/rem in the maps, we'd have problems.
    124 static DivRemWorklistTy getWorklist(Function &F) {
    125   // Insert all divide and remainder instructions into maps keyed by their
    126   // operands and opcode (signed or unsigned).
    127   DenseMap<DivRemMapKey, Instruction *> DivMap;
    128   // Use a MapVector for RemMap so that instructions are moved/inserted in a
    129   // deterministic order.
    130   MapVector<DivRemMapKey, Instruction *> RemMap;
    131   for (auto &BB : F) {
    132     for (auto &I : BB) {
    133       if (I.getOpcode() == Instruction::SDiv)
    134         DivMap[DivRemMapKey(true, I.getOperand(0), I.getOperand(1))] = &I;
    135       else if (I.getOpcode() == Instruction::UDiv)
    136         DivMap[DivRemMapKey(false, I.getOperand(0), I.getOperand(1))] = &I;
    137       else if (I.getOpcode() == Instruction::SRem)
    138         RemMap[DivRemMapKey(true, I.getOperand(0), I.getOperand(1))] = &I;
    139       else if (I.getOpcode() == Instruction::URem)
    140         RemMap[DivRemMapKey(false, I.getOperand(0), I.getOperand(1))] = &I;
    141       else if (auto Match = matchExpandedRem(I))
    142         RemMap[Match->Key] = Match->Value;
    143     }
    144   }
    145 
    146   // We'll accumulate the matching pairs of div-rem instructions here.
    147   DivRemWorklistTy Worklist;
    148 
    149   // We can iterate over either map because we are only looking for matched
    150   // pairs. Choose remainders for efficiency because they are usually even more
    151   // rare than division.
    152   for (auto &RemPair : RemMap) {
    153     // Find the matching division instruction from the division map.
    154     auto It = DivMap.find(RemPair.first);
    155     if (It == DivMap.end())
    156       continue;
    157 
    158     // We have a matching pair of div/rem instructions.
    159     NumPairs++;
    160     Instruction *RemInst = RemPair.second;
    161 
    162     // Place it in the worklist.
    163     Worklist.emplace_back(It->second, RemInst);
    164   }
    165 
    166   return Worklist;
    167 }
    168 
    169 /// Find matching pairs of integer div/rem ops (they have the same numerator,
    170 /// denominator, and signedness). If they exist in different basic blocks, bring
    171 /// them together by hoisting or replace the common division operation that is
    172 /// implicit in the remainder:
    173 /// X % Y <--> X - ((X / Y) * Y).
    174 ///
    175 /// We can largely ignore the normal safety and cost constraints on speculation
    176 /// of these ops when we find a matching pair. This is because we are already
    177 /// guaranteed that any exceptions and most cost are already incurred by the
    178 /// first member of the pair.
    179 ///
    180 /// Note: This transform could be an oddball enhancement to EarlyCSE, GVN, or
    181 /// SimplifyCFG, but it's split off on its own because it's different enough
    182 /// that it doesn't quite match the stated objectives of those passes.
    183 static bool optimizeDivRem(Function &F, const TargetTransformInfo &TTI,
    184                            const DominatorTree &DT) {
    185   bool Changed = false;
    186 
    187   // Get the matching pairs of div-rem instructions. We want this extra
    188   // indirection to avoid dealing with having to RAUW the keys of the maps.
    189   DivRemWorklistTy Worklist = getWorklist(F);
    190 
    191   // Process each entry in the worklist.
    192   for (DivRemPairWorklistEntry &E : Worklist) {
    193     if (!DebugCounter::shouldExecute(DRPCounter))
    194       continue;
    195 
    196     bool HasDivRemOp = TTI.hasDivRemOp(E.getType(), E.isSigned());
    197 
    198     auto &DivInst = E.DivInst;
    199     auto &RemInst = E.RemInst;
    200 
    201     const bool RemOriginallyWasInExpandedForm = E.isRemExpanded();
    202     (void)RemOriginallyWasInExpandedForm; // suppress unused variable warning
    203 
    204     if (HasDivRemOp && E.isRemExpanded()) {
    205       // The target supports div+rem but the rem is expanded.
    206       // We should recompose it first.
    207       Value *X = E.getDividend();
    208       Value *Y = E.getDivisor();
    209       Instruction *RealRem = E.isSigned() ? BinaryOperator::CreateSRem(X, Y)
    210                                           : BinaryOperator::CreateURem(X, Y);
    211       // Note that we place it right next to the original expanded instruction,
    212       // and letting further handling to move it if needed.
    213       RealRem->setName(RemInst->getName() + ".recomposed");
    214       RealRem->insertAfter(RemInst);
    215       Instruction *OrigRemInst = RemInst;
    216       // Update AssertingVH<> with new instruction so it doesn't assert.
    217       RemInst = RealRem;
    218       // And replace the original instruction with the new one.
    219       OrigRemInst->replaceAllUsesWith(RealRem);
    220       OrigRemInst->eraseFromParent();
    221       NumRecomposed++;
    222       // Note that we have left ((X / Y) * Y) around.
    223       // If it had other uses we could rewrite it as X - X % Y
    224       Changed = true;
    225     }
    226 
    227     assert((!E.isRemExpanded() || !HasDivRemOp) &&
    228            "*If* the target supports div-rem, then by now the RemInst *is* "
    229            "Instruction::[US]Rem.");
    230 
    231     // If the target supports div+rem and the instructions are in the same block
    232     // already, there's nothing to do. The backend should handle this. If the
    233     // target does not support div+rem, then we will decompose the rem.
    234     if (HasDivRemOp && RemInst->getParent() == DivInst->getParent())
    235       continue;
    236 
    237     bool DivDominates = DT.dominates(DivInst, RemInst);
    238     if (!DivDominates && !DT.dominates(RemInst, DivInst)) {
    239       // We have matching div-rem pair, but they are in two different blocks,
    240       // neither of which dominates one another.
    241       // FIXME: We could hoist both ops to the common predecessor block?
    242       continue;
    243     }
    244 
    245     // The target does not have a single div/rem operation,
    246     // and the rem is already in expanded form. Nothing to do.
    247     if (!HasDivRemOp && E.isRemExpanded())
    248       continue;
    249 
    250     if (HasDivRemOp) {
    251       // The target has a single div/rem operation. Hoist the lower instruction
    252       // to make the matched pair visible to the backend.
    253       if (DivDominates)
    254         RemInst->moveAfter(DivInst);
    255       else
    256         DivInst->moveAfter(RemInst);
    257       NumHoisted++;
    258     } else {
    259       // The target does not have a single div/rem operation,
    260       // and the rem is *not* in a already-expanded form.
    261       // Decompose the remainder calculation as:
    262       // X % Y --> X - ((X / Y) * Y).
    263 
    264       assert(!RemOriginallyWasInExpandedForm &&
    265              "We should not be expanding if the rem was in expanded form to "
    266              "begin with.");
    267 
    268       Value *X = E.getDividend();
    269       Value *Y = E.getDivisor();
    270       Instruction *Mul = BinaryOperator::CreateMul(DivInst, Y);
    271       Instruction *Sub = BinaryOperator::CreateSub(X, Mul);
    272 
    273       // If the remainder dominates, then hoist the division up to that block:
    274       //
    275       // bb1:
    276       //   %rem = srem %x, %y
    277       // bb2:
    278       //   %div = sdiv %x, %y
    279       // -->
    280       // bb1:
    281       //   %div = sdiv %x, %y
    282       //   %mul = mul %div, %y
    283       //   %rem = sub %x, %mul
    284       //
    285       // If the division dominates, it's already in the right place. The mul+sub
    286       // will be in a different block because we don't assume that they are
    287       // cheap to speculatively execute:
    288       //
    289       // bb1:
    290       //   %div = sdiv %x, %y
    291       // bb2:
    292       //   %rem = srem %x, %y
    293       // -->
    294       // bb1:
    295       //   %div = sdiv %x, %y
    296       // bb2:
    297       //   %mul = mul %div, %y
    298       //   %rem = sub %x, %mul
    299       //
    300       // If the div and rem are in the same block, we do the same transform,
    301       // but any code movement would be within the same block.
    302 
    303       if (!DivDominates)
    304         DivInst->moveBefore(RemInst);
    305       Mul->insertAfter(RemInst);
    306       Sub->insertAfter(Mul);
    307 
    308       // If X can be undef, X should be frozen first.
    309       // For example, let's assume that Y = 1 & X = undef:
    310       //   %div = sdiv undef, 1 // %div = undef
    311       //   %rem = srem undef, 1 // %rem = 0
    312       // =>
    313       //   %div = sdiv undef, 1 // %div = undef
    314       //   %mul = mul %div, 1   // %mul = undef
    315       //   %rem = sub %x, %mul  // %rem = undef - undef = undef
    316       // If X is not frozen, %rem becomes undef after transformation.
    317       // TODO: We need a undef-specific checking function in ValueTracking
    318       if (!isGuaranteedNotToBeUndefOrPoison(X, nullptr, DivInst, &DT)) {
    319         auto *FrX = new FreezeInst(X, X->getName() + ".frozen", DivInst);
    320         DivInst->setOperand(0, FrX);
    321         Sub->setOperand(0, FrX);
    322       }
    323       // Same for Y. If X = 1 and Y = (undef | 1), %rem in src is either 1 or 0,
    324       // but %rem in tgt can be one of many integer values.
    325       if (!isGuaranteedNotToBeUndefOrPoison(Y, nullptr, DivInst, &DT)) {
    326         auto *FrY = new FreezeInst(Y, Y->getName() + ".frozen", DivInst);
    327         DivInst->setOperand(1, FrY);
    328         Mul->setOperand(1, FrY);
    329       }
    330 
    331       // Now kill the explicit remainder. We have replaced it with:
    332       // (sub X, (mul (div X, Y), Y)
    333       Sub->setName(RemInst->getName() + ".decomposed");
    334       Instruction *OrigRemInst = RemInst;
    335       // Update AssertingVH<> with new instruction so it doesn't assert.
    336       RemInst = Sub;
    337       // And replace the original instruction with the new one.
    338       OrigRemInst->replaceAllUsesWith(Sub);
    339       OrigRemInst->eraseFromParent();
    340       NumDecomposed++;
    341     }
    342     Changed = true;
    343   }
    344 
    345   return Changed;
    346 }
    347 
    348 // Pass manager boilerplate below here.
    349 
    350 namespace {
    351 struct DivRemPairsLegacyPass : public FunctionPass {
    352   static char ID;
    353   DivRemPairsLegacyPass() : FunctionPass(ID) {
    354     initializeDivRemPairsLegacyPassPass(*PassRegistry::getPassRegistry());
    355   }
    356 
    357   void getAnalysisUsage(AnalysisUsage &AU) const override {
    358     AU.addRequired<DominatorTreeWrapperPass>();
    359     AU.addRequired<TargetTransformInfoWrapperPass>();
    360     AU.setPreservesCFG();
    361     AU.addPreserved<DominatorTreeWrapperPass>();
    362     AU.addPreserved<GlobalsAAWrapperPass>();
    363     FunctionPass::getAnalysisUsage(AU);
    364   }
    365 
    366   bool runOnFunction(Function &F) override {
    367     if (skipFunction(F))
    368       return false;
    369     auto &TTI = getAnalysis<TargetTransformInfoWrapperPass>().getTTI(F);
    370     auto &DT = getAnalysis<DominatorTreeWrapperPass>().getDomTree();
    371     return optimizeDivRem(F, TTI, DT);
    372   }
    373 };
    374 } // namespace
    375 
    376 char DivRemPairsLegacyPass::ID = 0;
    377 INITIALIZE_PASS_BEGIN(DivRemPairsLegacyPass, "div-rem-pairs",
    378                       "Hoist/decompose integer division and remainder", false,
    379                       false)
    380 INITIALIZE_PASS_DEPENDENCY(DominatorTreeWrapperPass)
    381 INITIALIZE_PASS_END(DivRemPairsLegacyPass, "div-rem-pairs",
    382                     "Hoist/decompose integer division and remainder", false,
    383                     false)
    384 FunctionPass *llvm::createDivRemPairsPass() {
    385   return new DivRemPairsLegacyPass();
    386 }
    387 
    388 PreservedAnalyses DivRemPairsPass::run(Function &F,
    389                                        FunctionAnalysisManager &FAM) {
    390   TargetTransformInfo &TTI = FAM.getResult<TargetIRAnalysis>(F);
    391   DominatorTree &DT = FAM.getResult<DominatorTreeAnalysis>(F);
    392   if (!optimizeDivRem(F, TTI, DT))
    393     return PreservedAnalyses::all();
    394   // TODO: This pass just hoists/replaces math ops - all analyses are preserved?
    395   PreservedAnalyses PA;
    396   PA.preserveSet<CFGAnalyses>();
    397   return PA;
    398 }
    399