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      1 //===- LoopFlatten.cpp - Loop flattening pass------------------------------===//
      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 flattens pairs nested loops into a single loop.
     10 //
     11 // The intention is to optimise loop nests like this, which together access an
     12 // array linearly:
     13 //   for (int i = 0; i < N; ++i)
     14 //     for (int j = 0; j < M; ++j)
     15 //       f(A[i*M+j]);
     16 // into one loop:
     17 //   for (int i = 0; i < (N*M); ++i)
     18 //     f(A[i]);
     19 //
     20 // It can also flatten loops where the induction variables are not used in the
     21 // loop. This is only worth doing if the induction variables are only used in an
     22 // expression like i*M+j. If they had any other uses, we would have to insert a
     23 // div/mod to reconstruct the original values, so this wouldn't be profitable.
     24 //
     25 // We also need to prove that N*M will not overflow.
     26 //
     27 //===----------------------------------------------------------------------===//
     28 
     29 #include "llvm/Transforms/Scalar/LoopFlatten.h"
     30 #include "llvm/Analysis/AssumptionCache.h"
     31 #include "llvm/Analysis/LoopInfo.h"
     32 #include "llvm/Analysis/OptimizationRemarkEmitter.h"
     33 #include "llvm/Analysis/ScalarEvolution.h"
     34 #include "llvm/Analysis/TargetTransformInfo.h"
     35 #include "llvm/Analysis/ValueTracking.h"
     36 #include "llvm/IR/Dominators.h"
     37 #include "llvm/IR/Function.h"
     38 #include "llvm/IR/IRBuilder.h"
     39 #include "llvm/IR/Module.h"
     40 #include "llvm/IR/PatternMatch.h"
     41 #include "llvm/IR/Verifier.h"
     42 #include "llvm/InitializePasses.h"
     43 #include "llvm/Pass.h"
     44 #include "llvm/Support/Debug.h"
     45 #include "llvm/Support/raw_ostream.h"
     46 #include "llvm/Transforms/Scalar.h"
     47 #include "llvm/Transforms/Utils/Local.h"
     48 #include "llvm/Transforms/Utils/LoopUtils.h"
     49 #include "llvm/Transforms/Utils/ScalarEvolutionExpander.h"
     50 #include "llvm/Transforms/Utils/SimplifyIndVar.h"
     51 
     52 #define DEBUG_TYPE "loop-flatten"
     53 
     54 using namespace llvm;
     55 using namespace llvm::PatternMatch;
     56 
     57 static cl::opt<unsigned> RepeatedInstructionThreshold(
     58     "loop-flatten-cost-threshold", cl::Hidden, cl::init(2),
     59     cl::desc("Limit on the cost of instructions that can be repeated due to "
     60              "loop flattening"));
     61 
     62 static cl::opt<bool>
     63     AssumeNoOverflow("loop-flatten-assume-no-overflow", cl::Hidden,
     64                      cl::init(false),
     65                      cl::desc("Assume that the product of the two iteration "
     66                               "limits will never overflow"));
     67 
     68 static cl::opt<bool>
     69     WidenIV("loop-flatten-widen-iv", cl::Hidden,
     70             cl::init(true),
     71             cl::desc("Widen the loop induction variables, if possible, so "
     72                      "overflow checks won't reject flattening"));
     73 
     74 struct FlattenInfo {
     75   Loop *OuterLoop = nullptr;
     76   Loop *InnerLoop = nullptr;
     77   PHINode *InnerInductionPHI = nullptr;
     78   PHINode *OuterInductionPHI = nullptr;
     79   Value *InnerLimit = nullptr;
     80   Value *OuterLimit = nullptr;
     81   BinaryOperator *InnerIncrement = nullptr;
     82   BinaryOperator *OuterIncrement = nullptr;
     83   BranchInst *InnerBranch = nullptr;
     84   BranchInst *OuterBranch = nullptr;
     85   SmallPtrSet<Value *, 4> LinearIVUses;
     86   SmallPtrSet<PHINode *, 4> InnerPHIsToTransform;
     87 
     88   // Whether this holds the flatten info before or after widening.
     89   bool Widened = false;
     90 
     91   FlattenInfo(Loop *OL, Loop *IL) : OuterLoop(OL), InnerLoop(IL) {};
     92 };
     93 
     94 // Finds the induction variable, increment and limit for a simple loop that we
     95 // can flatten.
     96 static bool findLoopComponents(
     97     Loop *L, SmallPtrSetImpl<Instruction *> &IterationInstructions,
     98     PHINode *&InductionPHI, Value *&Limit, BinaryOperator *&Increment,
     99     BranchInst *&BackBranch, ScalarEvolution *SE) {
    100   LLVM_DEBUG(dbgs() << "Finding components of loop: " << L->getName() << "\n");
    101 
    102   if (!L->isLoopSimplifyForm()) {
    103     LLVM_DEBUG(dbgs() << "Loop is not in normal form\n");
    104     return false;
    105   }
    106 
    107   // There must be exactly one exiting block, and it must be the same at the
    108   // latch.
    109   BasicBlock *Latch = L->getLoopLatch();
    110   if (L->getExitingBlock() != Latch) {
    111     LLVM_DEBUG(dbgs() << "Exiting and latch block are different\n");
    112     return false;
    113   }
    114   // Latch block must end in a conditional branch.
    115   BackBranch = dyn_cast<BranchInst>(Latch->getTerminator());
    116   if (!BackBranch || !BackBranch->isConditional()) {
    117     LLVM_DEBUG(dbgs() << "Could not find back-branch\n");
    118     return false;
    119   }
    120   IterationInstructions.insert(BackBranch);
    121   LLVM_DEBUG(dbgs() << "Found back branch: "; BackBranch->dump());
    122   bool ContinueOnTrue = L->contains(BackBranch->getSuccessor(0));
    123 
    124   // Find the induction PHI. If there is no induction PHI, we can't do the
    125   // transformation. TODO: could other variables trigger this? Do we have to
    126   // search for the best one?
    127   InductionPHI = nullptr;
    128   for (PHINode &PHI : L->getHeader()->phis()) {
    129     InductionDescriptor ID;
    130     if (InductionDescriptor::isInductionPHI(&PHI, L, SE, ID)) {
    131       InductionPHI = &PHI;
    132       LLVM_DEBUG(dbgs() << "Found induction PHI: "; InductionPHI->dump());
    133       break;
    134     }
    135   }
    136   if (!InductionPHI) {
    137     LLVM_DEBUG(dbgs() << "Could not find induction PHI\n");
    138     return false;
    139   }
    140 
    141   auto IsValidPredicate = [&](ICmpInst::Predicate Pred) {
    142     if (ContinueOnTrue)
    143       return Pred == CmpInst::ICMP_NE || Pred == CmpInst::ICMP_ULT;
    144     else
    145       return Pred == CmpInst::ICMP_EQ;
    146   };
    147 
    148   // Find Compare and make sure it is valid
    149   ICmpInst *Compare = dyn_cast<ICmpInst>(BackBranch->getCondition());
    150   if (!Compare || !IsValidPredicate(Compare->getUnsignedPredicate()) ||
    151       Compare->hasNUsesOrMore(2)) {
    152     LLVM_DEBUG(dbgs() << "Could not find valid comparison\n");
    153     return false;
    154   }
    155   IterationInstructions.insert(Compare);
    156   LLVM_DEBUG(dbgs() << "Found comparison: "; Compare->dump());
    157 
    158   // Find increment and limit from the compare
    159   Increment = nullptr;
    160   if (match(Compare->getOperand(0),
    161             m_c_Add(m_Specific(InductionPHI), m_ConstantInt<1>()))) {
    162     Increment = dyn_cast<BinaryOperator>(Compare->getOperand(0));
    163     Limit = Compare->getOperand(1);
    164   } else if (Compare->getUnsignedPredicate() == CmpInst::ICMP_NE &&
    165              match(Compare->getOperand(1),
    166                    m_c_Add(m_Specific(InductionPHI), m_ConstantInt<1>()))) {
    167     Increment = dyn_cast<BinaryOperator>(Compare->getOperand(1));
    168     Limit = Compare->getOperand(0);
    169   }
    170   if (!Increment || Increment->hasNUsesOrMore(3)) {
    171     LLVM_DEBUG(dbgs() << "Cound not find valid increment\n");
    172     return false;
    173   }
    174   IterationInstructions.insert(Increment);
    175   LLVM_DEBUG(dbgs() << "Found increment: "; Increment->dump());
    176   LLVM_DEBUG(dbgs() << "Found limit: "; Limit->dump());
    177 
    178   assert(InductionPHI->getNumIncomingValues() == 2);
    179 
    180   if (InductionPHI->getIncomingValueForBlock(Latch) != Increment) {
    181     LLVM_DEBUG(
    182         dbgs() << "Incoming value from latch is not the increment inst\n");
    183     return false;
    184   }
    185 
    186   auto *CI = dyn_cast<ConstantInt>(
    187       InductionPHI->getIncomingValueForBlock(L->getLoopPreheader()));
    188   if (!CI || !CI->isZero()) {
    189     LLVM_DEBUG(dbgs() << "PHI value is not zero: "; CI->dump());
    190     return false;
    191   }
    192 
    193   LLVM_DEBUG(dbgs() << "Successfully found all loop components\n");
    194   return true;
    195 }
    196 
    197 static bool checkPHIs(FlattenInfo &FI, const TargetTransformInfo *TTI) {
    198   // All PHIs in the inner and outer headers must either be:
    199   // - The induction PHI, which we are going to rewrite as one induction in
    200   //   the new loop. This is already checked by findLoopComponents.
    201   // - An outer header PHI with all incoming values from outside the loop.
    202   //   LoopSimplify guarantees we have a pre-header, so we don't need to
    203   //   worry about that here.
    204   // - Pairs of PHIs in the inner and outer headers, which implement a
    205   //   loop-carried dependency that will still be valid in the new loop. To
    206   //   be valid, this variable must be modified only in the inner loop.
    207 
    208   // The set of PHI nodes in the outer loop header that we know will still be
    209   // valid after the transformation. These will not need to be modified (with
    210   // the exception of the induction variable), but we do need to check that
    211   // there are no unsafe PHI nodes.
    212   SmallPtrSet<PHINode *, 4> SafeOuterPHIs;
    213   SafeOuterPHIs.insert(FI.OuterInductionPHI);
    214 
    215   // Check that all PHI nodes in the inner loop header match one of the valid
    216   // patterns.
    217   for (PHINode &InnerPHI : FI.InnerLoop->getHeader()->phis()) {
    218     // The induction PHIs break these rules, and that's OK because we treat
    219     // them specially when doing the transformation.
    220     if (&InnerPHI == FI.InnerInductionPHI)
    221       continue;
    222 
    223     // Each inner loop PHI node must have two incoming values/blocks - one
    224     // from the pre-header, and one from the latch.
    225     assert(InnerPHI.getNumIncomingValues() == 2);
    226     Value *PreHeaderValue =
    227         InnerPHI.getIncomingValueForBlock(FI.InnerLoop->getLoopPreheader());
    228     Value *LatchValue =
    229         InnerPHI.getIncomingValueForBlock(FI.InnerLoop->getLoopLatch());
    230 
    231     // The incoming value from the outer loop must be the PHI node in the
    232     // outer loop header, with no modifications made in the top of the outer
    233     // loop.
    234     PHINode *OuterPHI = dyn_cast<PHINode>(PreHeaderValue);
    235     if (!OuterPHI || OuterPHI->getParent() != FI.OuterLoop->getHeader()) {
    236       LLVM_DEBUG(dbgs() << "value modified in top of outer loop\n");
    237       return false;
    238     }
    239 
    240     // The other incoming value must come from the inner loop, without any
    241     // modifications in the tail end of the outer loop. We are in LCSSA form,
    242     // so this will actually be a PHI in the inner loop's exit block, which
    243     // only uses values from inside the inner loop.
    244     PHINode *LCSSAPHI = dyn_cast<PHINode>(
    245         OuterPHI->getIncomingValueForBlock(FI.OuterLoop->getLoopLatch()));
    246     if (!LCSSAPHI) {
    247       LLVM_DEBUG(dbgs() << "could not find LCSSA PHI\n");
    248       return false;
    249     }
    250 
    251     // The value used by the LCSSA PHI must be the same one that the inner
    252     // loop's PHI uses.
    253     if (LCSSAPHI->hasConstantValue() != LatchValue) {
    254       LLVM_DEBUG(
    255           dbgs() << "LCSSA PHI incoming value does not match latch value\n");
    256       return false;
    257     }
    258 
    259     LLVM_DEBUG(dbgs() << "PHI pair is safe:\n");
    260     LLVM_DEBUG(dbgs() << "  Inner: "; InnerPHI.dump());
    261     LLVM_DEBUG(dbgs() << "  Outer: "; OuterPHI->dump());
    262     SafeOuterPHIs.insert(OuterPHI);
    263     FI.InnerPHIsToTransform.insert(&InnerPHI);
    264   }
    265 
    266   for (PHINode &OuterPHI : FI.OuterLoop->getHeader()->phis()) {
    267     if (!SafeOuterPHIs.count(&OuterPHI)) {
    268       LLVM_DEBUG(dbgs() << "found unsafe PHI in outer loop: "; OuterPHI.dump());
    269       return false;
    270     }
    271   }
    272 
    273   LLVM_DEBUG(dbgs() << "checkPHIs: OK\n");
    274   return true;
    275 }
    276 
    277 static bool
    278 checkOuterLoopInsts(FlattenInfo &FI,
    279                     SmallPtrSetImpl<Instruction *> &IterationInstructions,
    280                     const TargetTransformInfo *TTI) {
    281   // Check for instructions in the outer but not inner loop. If any of these
    282   // have side-effects then this transformation is not legal, and if there is
    283   // a significant amount of code here which can't be optimised out that it's
    284   // not profitable (as these instructions would get executed for each
    285   // iteration of the inner loop).
    286   InstructionCost RepeatedInstrCost = 0;
    287   for (auto *B : FI.OuterLoop->getBlocks()) {
    288     if (FI.InnerLoop->contains(B))
    289       continue;
    290 
    291     for (auto &I : *B) {
    292       if (!isa<PHINode>(&I) && !I.isTerminator() &&
    293           !isSafeToSpeculativelyExecute(&I)) {
    294         LLVM_DEBUG(dbgs() << "Cannot flatten because instruction may have "
    295                              "side effects: ";
    296                    I.dump());
    297         return false;
    298       }
    299       // The execution count of the outer loop's iteration instructions
    300       // (increment, compare and branch) will be increased, but the
    301       // equivalent instructions will be removed from the inner loop, so
    302       // they make a net difference of zero.
    303       if (IterationInstructions.count(&I))
    304         continue;
    305       // The uncoditional branch to the inner loop's header will turn into
    306       // a fall-through, so adds no cost.
    307       BranchInst *Br = dyn_cast<BranchInst>(&I);
    308       if (Br && Br->isUnconditional() &&
    309           Br->getSuccessor(0) == FI.InnerLoop->getHeader())
    310         continue;
    311       // Multiplies of the outer iteration variable and inner iteration
    312       // count will be optimised out.
    313       if (match(&I, m_c_Mul(m_Specific(FI.OuterInductionPHI),
    314                             m_Specific(FI.InnerLimit))))
    315         continue;
    316       InstructionCost Cost =
    317           TTI->getUserCost(&I, TargetTransformInfo::TCK_SizeAndLatency);
    318       LLVM_DEBUG(dbgs() << "Cost " << Cost << ": "; I.dump());
    319       RepeatedInstrCost += Cost;
    320     }
    321   }
    322 
    323   LLVM_DEBUG(dbgs() << "Cost of instructions that will be repeated: "
    324                     << RepeatedInstrCost << "\n");
    325   // Bail out if flattening the loops would cause instructions in the outer
    326   // loop but not in the inner loop to be executed extra times.
    327   if (RepeatedInstrCost > RepeatedInstructionThreshold) {
    328     LLVM_DEBUG(dbgs() << "checkOuterLoopInsts: not profitable, bailing.\n");
    329     return false;
    330   }
    331 
    332   LLVM_DEBUG(dbgs() << "checkOuterLoopInsts: OK\n");
    333   return true;
    334 }
    335 
    336 static bool checkIVUsers(FlattenInfo &FI) {
    337   // We require all uses of both induction variables to match this pattern:
    338   //
    339   //   (OuterPHI * InnerLimit) + InnerPHI
    340   //
    341   // Any uses of the induction variables not matching that pattern would
    342   // require a div/mod to reconstruct in the flattened loop, so the
    343   // transformation wouldn't be profitable.
    344 
    345   Value *InnerLimit = FI.InnerLimit;
    346   if (FI.Widened &&
    347       (isa<SExtInst>(InnerLimit) || isa<ZExtInst>(InnerLimit)))
    348     InnerLimit = cast<Instruction>(InnerLimit)->getOperand(0);
    349 
    350   // Check that all uses of the inner loop's induction variable match the
    351   // expected pattern, recording the uses of the outer IV.
    352   SmallPtrSet<Value *, 4> ValidOuterPHIUses;
    353   for (User *U : FI.InnerInductionPHI->users()) {
    354     if (U == FI.InnerIncrement)
    355       continue;
    356 
    357     // After widening the IVs, a trunc instruction might have been introduced, so
    358     // look through truncs.
    359     if (isa<TruncInst>(U)) {
    360       if (!U->hasOneUse())
    361         return false;
    362       U = *U->user_begin();
    363     }
    364 
    365     LLVM_DEBUG(dbgs() << "Found use of inner induction variable: "; U->dump());
    366 
    367     Value *MatchedMul;
    368     Value *MatchedItCount;
    369     bool IsAdd = match(U, m_c_Add(m_Specific(FI.InnerInductionPHI),
    370                                   m_Value(MatchedMul))) &&
    371                  match(MatchedMul, m_c_Mul(m_Specific(FI.OuterInductionPHI),
    372                                            m_Value(MatchedItCount)));
    373 
    374     // Matches the same pattern as above, except it also looks for truncs
    375     // on the phi, which can be the result of widening the induction variables.
    376     bool IsAddTrunc = match(U, m_c_Add(m_Trunc(m_Specific(FI.InnerInductionPHI)),
    377                                        m_Value(MatchedMul))) &&
    378                       match(MatchedMul,
    379                             m_c_Mul(m_Trunc(m_Specific(FI.OuterInductionPHI)),
    380                             m_Value(MatchedItCount)));
    381 
    382     if ((IsAdd || IsAddTrunc) && MatchedItCount == InnerLimit) {
    383       LLVM_DEBUG(dbgs() << "Use is optimisable\n");
    384       ValidOuterPHIUses.insert(MatchedMul);
    385       FI.LinearIVUses.insert(U);
    386     } else {
    387       LLVM_DEBUG(dbgs() << "Did not match expected pattern, bailing\n");
    388       return false;
    389     }
    390   }
    391 
    392   // Check that there are no uses of the outer IV other than the ones found
    393   // as part of the pattern above.
    394   for (User *U : FI.OuterInductionPHI->users()) {
    395     if (U == FI.OuterIncrement)
    396       continue;
    397 
    398     auto IsValidOuterPHIUses = [&] (User *U) -> bool {
    399       LLVM_DEBUG(dbgs() << "Found use of outer induction variable: "; U->dump());
    400       if (!ValidOuterPHIUses.count(U)) {
    401         LLVM_DEBUG(dbgs() << "Did not match expected pattern, bailing\n");
    402         return false;
    403       }
    404       LLVM_DEBUG(dbgs() << "Use is optimisable\n");
    405       return true;
    406     };
    407 
    408     if (auto *V = dyn_cast<TruncInst>(U)) {
    409       for (auto *K : V->users()) {
    410         if (!IsValidOuterPHIUses(K))
    411           return false;
    412       }
    413       continue;
    414     }
    415 
    416     if (!IsValidOuterPHIUses(U))
    417       return false;
    418   }
    419 
    420   LLVM_DEBUG(dbgs() << "checkIVUsers: OK\n";
    421              dbgs() << "Found " << FI.LinearIVUses.size()
    422                     << " value(s) that can be replaced:\n";
    423              for (Value *V : FI.LinearIVUses) {
    424                dbgs() << "  ";
    425                V->dump();
    426              });
    427   return true;
    428 }
    429 
    430 // Return an OverflowResult dependant on if overflow of the multiplication of
    431 // InnerLimit and OuterLimit can be assumed not to happen.
    432 static OverflowResult checkOverflow(FlattenInfo &FI, DominatorTree *DT,
    433                                     AssumptionCache *AC) {
    434   Function *F = FI.OuterLoop->getHeader()->getParent();
    435   const DataLayout &DL = F->getParent()->getDataLayout();
    436 
    437   // For debugging/testing.
    438   if (AssumeNoOverflow)
    439     return OverflowResult::NeverOverflows;
    440 
    441   // Check if the multiply could not overflow due to known ranges of the
    442   // input values.
    443   OverflowResult OR = computeOverflowForUnsignedMul(
    444       FI.InnerLimit, FI.OuterLimit, DL, AC,
    445       FI.OuterLoop->getLoopPreheader()->getTerminator(), DT);
    446   if (OR != OverflowResult::MayOverflow)
    447     return OR;
    448 
    449   for (Value *V : FI.LinearIVUses) {
    450     for (Value *U : V->users()) {
    451       if (auto *GEP = dyn_cast<GetElementPtrInst>(U)) {
    452         // The IV is used as the operand of a GEP, and the IV is at least as
    453         // wide as the address space of the GEP. In this case, the GEP would
    454         // wrap around the address space before the IV increment wraps, which
    455         // would be UB.
    456         if (GEP->isInBounds() &&
    457             V->getType()->getIntegerBitWidth() >=
    458                 DL.getPointerTypeSizeInBits(GEP->getType())) {
    459           LLVM_DEBUG(
    460               dbgs() << "use of linear IV would be UB if overflow occurred: ";
    461               GEP->dump());
    462           return OverflowResult::NeverOverflows;
    463         }
    464       }
    465     }
    466   }
    467 
    468   return OverflowResult::MayOverflow;
    469 }
    470 
    471 static bool CanFlattenLoopPair(FlattenInfo &FI, DominatorTree *DT, LoopInfo *LI,
    472                                ScalarEvolution *SE, AssumptionCache *AC,
    473                                const TargetTransformInfo *TTI) {
    474   SmallPtrSet<Instruction *, 8> IterationInstructions;
    475   if (!findLoopComponents(FI.InnerLoop, IterationInstructions, FI.InnerInductionPHI,
    476                           FI.InnerLimit, FI.InnerIncrement, FI.InnerBranch, SE))
    477     return false;
    478   if (!findLoopComponents(FI.OuterLoop, IterationInstructions, FI.OuterInductionPHI,
    479                           FI.OuterLimit, FI.OuterIncrement, FI.OuterBranch, SE))
    480     return false;
    481 
    482   // Both of the loop limit values must be invariant in the outer loop
    483   // (non-instructions are all inherently invariant).
    484   if (!FI.OuterLoop->isLoopInvariant(FI.InnerLimit)) {
    485     LLVM_DEBUG(dbgs() << "inner loop limit not invariant\n");
    486     return false;
    487   }
    488   if (!FI.OuterLoop->isLoopInvariant(FI.OuterLimit)) {
    489     LLVM_DEBUG(dbgs() << "outer loop limit not invariant\n");
    490     return false;
    491   }
    492 
    493   if (!checkPHIs(FI, TTI))
    494     return false;
    495 
    496   // FIXME: it should be possible to handle different types correctly.
    497   if (FI.InnerInductionPHI->getType() != FI.OuterInductionPHI->getType())
    498     return false;
    499 
    500   if (!checkOuterLoopInsts(FI, IterationInstructions, TTI))
    501     return false;
    502 
    503   // Find the values in the loop that can be replaced with the linearized
    504   // induction variable, and check that there are no other uses of the inner
    505   // or outer induction variable. If there were, we could still do this
    506   // transformation, but we'd have to insert a div/mod to calculate the
    507   // original IVs, so it wouldn't be profitable.
    508   if (!checkIVUsers(FI))
    509     return false;
    510 
    511   LLVM_DEBUG(dbgs() << "CanFlattenLoopPair: OK\n");
    512   return true;
    513 }
    514 
    515 static bool DoFlattenLoopPair(FlattenInfo &FI, DominatorTree *DT, LoopInfo *LI,
    516                               ScalarEvolution *SE, AssumptionCache *AC,
    517                               const TargetTransformInfo *TTI) {
    518   Function *F = FI.OuterLoop->getHeader()->getParent();
    519   LLVM_DEBUG(dbgs() << "Checks all passed, doing the transformation\n");
    520   {
    521     using namespace ore;
    522     OptimizationRemark Remark(DEBUG_TYPE, "Flattened", FI.InnerLoop->getStartLoc(),
    523                               FI.InnerLoop->getHeader());
    524     OptimizationRemarkEmitter ORE(F);
    525     Remark << "Flattened into outer loop";
    526     ORE.emit(Remark);
    527   }
    528 
    529   Value *NewTripCount =
    530       BinaryOperator::CreateMul(FI.InnerLimit, FI.OuterLimit, "flatten.tripcount",
    531                                 FI.OuterLoop->getLoopPreheader()->getTerminator());
    532   LLVM_DEBUG(dbgs() << "Created new trip count in preheader: ";
    533              NewTripCount->dump());
    534 
    535   // Fix up PHI nodes that take values from the inner loop back-edge, which
    536   // we are about to remove.
    537   FI.InnerInductionPHI->removeIncomingValue(FI.InnerLoop->getLoopLatch());
    538 
    539   // The old Phi will be optimised away later, but for now we can't leave
    540   // leave it in an invalid state, so are updating them too.
    541   for (PHINode *PHI : FI.InnerPHIsToTransform)
    542     PHI->removeIncomingValue(FI.InnerLoop->getLoopLatch());
    543 
    544   // Modify the trip count of the outer loop to be the product of the two
    545   // trip counts.
    546   cast<User>(FI.OuterBranch->getCondition())->setOperand(1, NewTripCount);
    547 
    548   // Replace the inner loop backedge with an unconditional branch to the exit.
    549   BasicBlock *InnerExitBlock = FI.InnerLoop->getExitBlock();
    550   BasicBlock *InnerExitingBlock = FI.InnerLoop->getExitingBlock();
    551   InnerExitingBlock->getTerminator()->eraseFromParent();
    552   BranchInst::Create(InnerExitBlock, InnerExitingBlock);
    553   DT->deleteEdge(InnerExitingBlock, FI.InnerLoop->getHeader());
    554 
    555   // Replace all uses of the polynomial calculated from the two induction
    556   // variables with the one new one.
    557   IRBuilder<> Builder(FI.OuterInductionPHI->getParent()->getTerminator());
    558   for (Value *V : FI.LinearIVUses) {
    559     Value *OuterValue = FI.OuterInductionPHI;
    560     if (FI.Widened)
    561       OuterValue = Builder.CreateTrunc(FI.OuterInductionPHI, V->getType(),
    562                                        "flatten.trunciv");
    563 
    564     LLVM_DEBUG(dbgs() << "Replacing: "; V->dump();
    565                dbgs() << "with:      "; OuterValue->dump());
    566     V->replaceAllUsesWith(OuterValue);
    567   }
    568 
    569   // Tell LoopInfo, SCEV and the pass manager that the inner loop has been
    570   // deleted, and any information that have about the outer loop invalidated.
    571   SE->forgetLoop(FI.OuterLoop);
    572   SE->forgetLoop(FI.InnerLoop);
    573   LI->erase(FI.InnerLoop);
    574   return true;
    575 }
    576 
    577 static bool CanWidenIV(FlattenInfo &FI, DominatorTree *DT, LoopInfo *LI,
    578                        ScalarEvolution *SE, AssumptionCache *AC,
    579                        const TargetTransformInfo *TTI) {
    580   if (!WidenIV) {
    581     LLVM_DEBUG(dbgs() << "Widening the IVs is disabled\n");
    582     return false;
    583   }
    584 
    585   LLVM_DEBUG(dbgs() << "Try widening the IVs\n");
    586   Module *M = FI.InnerLoop->getHeader()->getParent()->getParent();
    587   auto &DL = M->getDataLayout();
    588   auto *InnerType = FI.InnerInductionPHI->getType();
    589   auto *OuterType = FI.OuterInductionPHI->getType();
    590   unsigned MaxLegalSize = DL.getLargestLegalIntTypeSizeInBits();
    591   auto *MaxLegalType = DL.getLargestLegalIntType(M->getContext());
    592 
    593   // If both induction types are less than the maximum legal integer width,
    594   // promote both to the widest type available so we know calculating
    595   // (OuterLimit * InnerLimit) as the new trip count is safe.
    596   if (InnerType != OuterType ||
    597       InnerType->getScalarSizeInBits() >= MaxLegalSize ||
    598       MaxLegalType->getScalarSizeInBits() < InnerType->getScalarSizeInBits() * 2) {
    599     LLVM_DEBUG(dbgs() << "Can't widen the IV\n");
    600     return false;
    601   }
    602 
    603   SCEVExpander Rewriter(*SE, DL, "loopflatten");
    604   SmallVector<WideIVInfo, 2> WideIVs;
    605   SmallVector<WeakTrackingVH, 4> DeadInsts;
    606   WideIVs.push_back( {FI.InnerInductionPHI, MaxLegalType, false });
    607   WideIVs.push_back( {FI.OuterInductionPHI, MaxLegalType, false });
    608   unsigned ElimExt = 0;
    609   unsigned Widened = 0;
    610 
    611   for (const auto &WideIV : WideIVs) {
    612     PHINode *WidePhi = createWideIV(WideIV, LI, SE, Rewriter, DT, DeadInsts,
    613                                     ElimExt, Widened, true /* HasGuards */,
    614                                     true /* UsePostIncrementRanges */);
    615     if (!WidePhi)
    616       return false;
    617     LLVM_DEBUG(dbgs() << "Created wide phi: "; WidePhi->dump());
    618     LLVM_DEBUG(dbgs() << "Deleting old phi: "; WideIV.NarrowIV->dump());
    619     RecursivelyDeleteDeadPHINode(WideIV.NarrowIV);
    620   }
    621   // After widening, rediscover all the loop components.
    622   assert(Widened && "Widened IV expected");
    623   FI.Widened = true;
    624   return CanFlattenLoopPair(FI, DT, LI, SE, AC, TTI);
    625 }
    626 
    627 static bool FlattenLoopPair(FlattenInfo &FI, DominatorTree *DT, LoopInfo *LI,
    628                             ScalarEvolution *SE, AssumptionCache *AC,
    629                             const TargetTransformInfo *TTI) {
    630   LLVM_DEBUG(
    631       dbgs() << "Loop flattening running on outer loop "
    632              << FI.OuterLoop->getHeader()->getName() << " and inner loop "
    633              << FI.InnerLoop->getHeader()->getName() << " in "
    634              << FI.OuterLoop->getHeader()->getParent()->getName() << "\n");
    635 
    636   if (!CanFlattenLoopPair(FI, DT, LI, SE, AC, TTI))
    637     return false;
    638 
    639   // Check if we can widen the induction variables to avoid overflow checks.
    640   if (CanWidenIV(FI, DT, LI, SE, AC, TTI))
    641     return DoFlattenLoopPair(FI, DT, LI, SE, AC, TTI);
    642 
    643   // Check if the new iteration variable might overflow. In this case, we
    644   // need to version the loop, and select the original version at runtime if
    645   // the iteration space is too large.
    646   // TODO: We currently don't version the loop.
    647   OverflowResult OR = checkOverflow(FI, DT, AC);
    648   if (OR == OverflowResult::AlwaysOverflowsHigh ||
    649       OR == OverflowResult::AlwaysOverflowsLow) {
    650     LLVM_DEBUG(dbgs() << "Multiply would always overflow, so not profitable\n");
    651     return false;
    652   } else if (OR == OverflowResult::MayOverflow) {
    653     LLVM_DEBUG(dbgs() << "Multiply might overflow, not flattening\n");
    654     return false;
    655   }
    656 
    657   LLVM_DEBUG(dbgs() << "Multiply cannot overflow, modifying loop in-place\n");
    658   return DoFlattenLoopPair(FI, DT, LI, SE, AC, TTI);
    659 }
    660 
    661 bool Flatten(DominatorTree *DT, LoopInfo *LI, ScalarEvolution *SE,
    662              AssumptionCache *AC, TargetTransformInfo *TTI) {
    663   bool Changed = false;
    664   for (auto *InnerLoop : LI->getLoopsInPreorder()) {
    665     auto *OuterLoop = InnerLoop->getParentLoop();
    666     if (!OuterLoop)
    667       continue;
    668     FlattenInfo FI(OuterLoop, InnerLoop);
    669     Changed |= FlattenLoopPair(FI, DT, LI, SE, AC, TTI);
    670   }
    671   return Changed;
    672 }
    673 
    674 PreservedAnalyses LoopFlattenPass::run(Function &F,
    675                                        FunctionAnalysisManager &AM) {
    676   auto *DT = &AM.getResult<DominatorTreeAnalysis>(F);
    677   auto *LI = &AM.getResult<LoopAnalysis>(F);
    678   auto *SE = &AM.getResult<ScalarEvolutionAnalysis>(F);
    679   auto *AC = &AM.getResult<AssumptionAnalysis>(F);
    680   auto *TTI = &AM.getResult<TargetIRAnalysis>(F);
    681 
    682   bool Changed = false;
    683 
    684   // The loop flattening pass requires loops to be
    685   // in simplified form, and also needs LCSSA. Running
    686   // this pass will simplify all loops that contain inner loops,
    687   // regardless of whether anything ends up being flattened.
    688   for (const auto &L : *LI) {
    689     if (L->isInnermost())
    690       continue;
    691     Changed |=
    692         simplifyLoop(L, DT, LI, SE, AC, nullptr, false /* PreserveLCSSA */);
    693     Changed |= formLCSSARecursively(*L, *DT, LI, SE);
    694   }
    695 
    696   Changed |= Flatten(DT, LI, SE, AC, TTI);
    697 
    698   if (!Changed)
    699     return PreservedAnalyses::all();
    700 
    701   return PreservedAnalyses::none();
    702 }
    703 
    704 namespace {
    705 class LoopFlattenLegacyPass : public FunctionPass {
    706 public:
    707   static char ID; // Pass ID, replacement for typeid
    708   LoopFlattenLegacyPass() : FunctionPass(ID) {
    709     initializeLoopFlattenLegacyPassPass(*PassRegistry::getPassRegistry());
    710   }
    711 
    712   // Possibly flatten loop L into its child.
    713   bool runOnFunction(Function &F) override;
    714 
    715   void getAnalysisUsage(AnalysisUsage &AU) const override {
    716     getLoopAnalysisUsage(AU);
    717     AU.addRequired<TargetTransformInfoWrapperPass>();
    718     AU.addPreserved<TargetTransformInfoWrapperPass>();
    719     AU.addRequired<AssumptionCacheTracker>();
    720     AU.addPreserved<AssumptionCacheTracker>();
    721   }
    722 };
    723 } // namespace
    724 
    725 char LoopFlattenLegacyPass::ID = 0;
    726 INITIALIZE_PASS_BEGIN(LoopFlattenLegacyPass, "loop-flatten", "Flattens loops",
    727                       false, false)
    728 INITIALIZE_PASS_DEPENDENCY(TargetTransformInfoWrapperPass)
    729 INITIALIZE_PASS_DEPENDENCY(AssumptionCacheTracker)
    730 INITIALIZE_PASS_END(LoopFlattenLegacyPass, "loop-flatten", "Flattens loops",
    731                     false, false)
    732 
    733 FunctionPass *llvm::createLoopFlattenPass() { return new LoopFlattenLegacyPass(); }
    734 
    735 bool LoopFlattenLegacyPass::runOnFunction(Function &F) {
    736   ScalarEvolution *SE = &getAnalysis<ScalarEvolutionWrapperPass>().getSE();
    737   LoopInfo *LI = &getAnalysis<LoopInfoWrapperPass>().getLoopInfo();
    738   auto *DTWP = getAnalysisIfAvailable<DominatorTreeWrapperPass>();
    739   DominatorTree *DT = DTWP ? &DTWP->getDomTree() : nullptr;
    740   auto &TTIP = getAnalysis<TargetTransformInfoWrapperPass>();
    741   auto *TTI = &TTIP.getTTI(F);
    742   auto *AC = &getAnalysis<AssumptionCacheTracker>().getAssumptionCache(F);
    743   return Flatten(DT, LI, SE, AC, TTI);
    744 }
    745