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      1 //===- IVUsers.cpp - Induction Variable Users -------------------*- C++ -*-===//
      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 file implements bookkeeping for "interesting" users of expressions
     11 // computed from induction variables.
     12 //
     13 //===----------------------------------------------------------------------===//
     14 
     15 #include "llvm/ADT/STLExtras.h"
     16 #include "llvm/Analysis/AssumptionCache.h"
     17 #include "llvm/Analysis/CodeMetrics.h"
     18 #include "llvm/Analysis/IVUsers.h"
     19 #include "llvm/Analysis/LoopPass.h"
     20 #include "llvm/Analysis/ScalarEvolutionExpressions.h"
     21 #include "llvm/Analysis/ValueTracking.h"
     22 #include "llvm/IR/Constants.h"
     23 #include "llvm/IR/DataLayout.h"
     24 #include "llvm/IR/DerivedTypes.h"
     25 #include "llvm/IR/Dominators.h"
     26 #include "llvm/IR/Instructions.h"
     27 #include "llvm/IR/Module.h"
     28 #include "llvm/IR/Type.h"
     29 #include "llvm/Support/Debug.h"
     30 #include "llvm/Support/raw_ostream.h"
     31 #include <algorithm>
     32 using namespace llvm;
     33 
     34 #define DEBUG_TYPE "iv-users"
     35 
     36 char IVUsers::ID = 0;
     37 INITIALIZE_PASS_BEGIN(IVUsers, "iv-users",
     38                       "Induction Variable Users", false, true)
     39 INITIALIZE_PASS_DEPENDENCY(AssumptionCacheTracker)
     40 INITIALIZE_PASS_DEPENDENCY(LoopInfoWrapperPass)
     41 INITIALIZE_PASS_DEPENDENCY(DominatorTreeWrapperPass)
     42 INITIALIZE_PASS_DEPENDENCY(ScalarEvolutionWrapperPass)
     43 INITIALIZE_PASS_END(IVUsers, "iv-users",
     44                       "Induction Variable Users", false, true)
     45 
     46 Pass *llvm::createIVUsersPass() {
     47   return new IVUsers();
     48 }
     49 
     50 /// isInteresting - Test whether the given expression is "interesting" when
     51 /// used by the given expression, within the context of analyzing the
     52 /// given loop.
     53 static bool isInteresting(const SCEV *S, const Instruction *I, const Loop *L,
     54                           ScalarEvolution *SE, LoopInfo *LI) {
     55   // An addrec is interesting if it's affine or if it has an interesting start.
     56   if (const SCEVAddRecExpr *AR = dyn_cast<SCEVAddRecExpr>(S)) {
     57     // Keep things simple. Don't touch loop-variant strides unless they're
     58     // only used outside the loop and we can simplify them.
     59     if (AR->getLoop() == L)
     60       return AR->isAffine() ||
     61              (!L->contains(I) &&
     62               SE->getSCEVAtScope(AR, LI->getLoopFor(I->getParent())) != AR);
     63     // Otherwise recurse to see if the start value is interesting, and that
     64     // the step value is not interesting, since we don't yet know how to
     65     // do effective SCEV expansions for addrecs with interesting steps.
     66     return isInteresting(AR->getStart(), I, L, SE, LI) &&
     67           !isInteresting(AR->getStepRecurrence(*SE), I, L, SE, LI);
     68   }
     69 
     70   // An add is interesting if exactly one of its operands is interesting.
     71   if (const SCEVAddExpr *Add = dyn_cast<SCEVAddExpr>(S)) {
     72     bool AnyInterestingYet = false;
     73     for (SCEVAddExpr::op_iterator OI = Add->op_begin(), OE = Add->op_end();
     74          OI != OE; ++OI)
     75       if (isInteresting(*OI, I, L, SE, LI)) {
     76         if (AnyInterestingYet)
     77           return false;
     78         AnyInterestingYet = true;
     79       }
     80     return AnyInterestingYet;
     81   }
     82 
     83   // Nothing else is interesting here.
     84   return false;
     85 }
     86 
     87 /// Return true if all loop headers that dominate this block are in simplified
     88 /// form.
     89 static bool isSimplifiedLoopNest(BasicBlock *BB, const DominatorTree *DT,
     90                                  const LoopInfo *LI,
     91                                  SmallPtrSetImpl<Loop*> &SimpleLoopNests) {
     92   Loop *NearestLoop = nullptr;
     93   for (DomTreeNode *Rung = DT->getNode(BB);
     94        Rung; Rung = Rung->getIDom()) {
     95     BasicBlock *DomBB = Rung->getBlock();
     96     Loop *DomLoop = LI->getLoopFor(DomBB);
     97     if (DomLoop && DomLoop->getHeader() == DomBB) {
     98       // If the domtree walk reaches a loop with no preheader, return false.
     99       if (!DomLoop->isLoopSimplifyForm())
    100         return false;
    101       // If we have already checked this loop nest, stop checking.
    102       if (SimpleLoopNests.count(DomLoop))
    103         break;
    104       // If we have not already checked this loop nest, remember the loop
    105       // header nearest to BB. The nearest loop may not contain BB.
    106       if (!NearestLoop)
    107         NearestLoop = DomLoop;
    108     }
    109   }
    110   if (NearestLoop)
    111     SimpleLoopNests.insert(NearestLoop);
    112   return true;
    113 }
    114 
    115 /// AddUsersImpl - Inspect the specified instruction.  If it is a
    116 /// reducible SCEV, recursively add its users to the IVUsesByStride set and
    117 /// return true.  Otherwise, return false.
    118 bool IVUsers::AddUsersImpl(Instruction *I,
    119                            SmallPtrSetImpl<Loop*> &SimpleLoopNests) {
    120   const DataLayout &DL = I->getModule()->getDataLayout();
    121 
    122   // Add this IV user to the Processed set before returning false to ensure that
    123   // all IV users are members of the set. See IVUsers::isIVUserOrOperand.
    124   if (!Processed.insert(I).second)
    125     return true;    // Instruction already handled.
    126 
    127   if (!SE->isSCEVable(I->getType()))
    128     return false;   // Void and FP expressions cannot be reduced.
    129 
    130   // IVUsers is used by LSR which assumes that all SCEV expressions are safe to
    131   // pass to SCEVExpander. Expressions are not safe to expand if they represent
    132   // operations that are not safe to speculate, namely integer division.
    133   if (!isa<PHINode>(I) && !isSafeToSpeculativelyExecute(I))
    134     return false;
    135 
    136   // LSR is not APInt clean, do not touch integers bigger than 64-bits.
    137   // Also avoid creating IVs of non-native types. For example, we don't want a
    138   // 64-bit IV in 32-bit code just because the loop has one 64-bit cast.
    139   uint64_t Width = SE->getTypeSizeInBits(I->getType());
    140   if (Width > 64 || !DL.isLegalInteger(Width))
    141     return false;
    142 
    143   // Don't attempt to promote ephemeral values to indvars. They will be removed
    144   // later anyway.
    145   if (EphValues.count(I))
    146     return false;
    147 
    148   // Get the symbolic expression for this instruction.
    149   const SCEV *ISE = SE->getSCEV(I);
    150 
    151   // If we've come to an uninteresting expression, stop the traversal and
    152   // call this a user.
    153   if (!isInteresting(ISE, I, L, SE, LI))
    154     return false;
    155 
    156   SmallPtrSet<Instruction *, 4> UniqueUsers;
    157   for (Use &U : I->uses()) {
    158     Instruction *User = cast<Instruction>(U.getUser());
    159     if (!UniqueUsers.insert(User).second)
    160       continue;
    161 
    162     // Do not infinitely recurse on PHI nodes.
    163     if (isa<PHINode>(User) && Processed.count(User))
    164       continue;
    165 
    166     // Only consider IVUsers that are dominated by simplified loop
    167     // headers. Otherwise, SCEVExpander will crash.
    168     BasicBlock *UseBB = User->getParent();
    169     // A phi's use is live out of its predecessor block.
    170     if (PHINode *PHI = dyn_cast<PHINode>(User)) {
    171       unsigned OperandNo = U.getOperandNo();
    172       unsigned ValNo = PHINode::getIncomingValueNumForOperand(OperandNo);
    173       UseBB = PHI->getIncomingBlock(ValNo);
    174     }
    175     if (!isSimplifiedLoopNest(UseBB, DT, LI, SimpleLoopNests))
    176       return false;
    177 
    178     // Descend recursively, but not into PHI nodes outside the current loop.
    179     // It's important to see the entire expression outside the loop to get
    180     // choices that depend on addressing mode use right, although we won't
    181     // consider references outside the loop in all cases.
    182     // If User is already in Processed, we don't want to recurse into it again,
    183     // but do want to record a second reference in the same instruction.
    184     bool AddUserToIVUsers = false;
    185     if (LI->getLoopFor(User->getParent()) != L) {
    186       if (isa<PHINode>(User) || Processed.count(User) ||
    187           !AddUsersImpl(User, SimpleLoopNests)) {
    188         DEBUG(dbgs() << "FOUND USER in other loop: " << *User << '\n'
    189                      << "   OF SCEV: " << *ISE << '\n');
    190         AddUserToIVUsers = true;
    191       }
    192     } else if (Processed.count(User) || !AddUsersImpl(User, SimpleLoopNests)) {
    193       DEBUG(dbgs() << "FOUND USER: " << *User << '\n'
    194                    << "   OF SCEV: " << *ISE << '\n');
    195       AddUserToIVUsers = true;
    196     }
    197 
    198     if (AddUserToIVUsers) {
    199       // Okay, we found a user that we cannot reduce.
    200       IVStrideUse &NewUse = AddUser(User, I);
    201       // Autodetect the post-inc loop set, populating NewUse.PostIncLoops.
    202       // The regular return value here is discarded; instead of recording
    203       // it, we just recompute it when we need it.
    204       const SCEV *OriginalISE = ISE;
    205       ISE = TransformForPostIncUse(NormalizeAutodetect,
    206                                    ISE, User, I,
    207                                    NewUse.PostIncLoops,
    208                                    *SE, *DT);
    209 
    210       // PostIncNormalization effectively simplifies the expression under
    211       // pre-increment assumptions. Those assumptions (no wrapping) might not
    212       // hold for the post-inc value. Catch such cases by making sure the
    213       // transformation is invertible.
    214       if (OriginalISE != ISE) {
    215         const SCEV *DenormalizedISE =
    216           TransformForPostIncUse(Denormalize, ISE, User, I,
    217               NewUse.PostIncLoops, *SE, *DT);
    218 
    219         // If we normalized the expression, but denormalization doesn't give the
    220         // original one, discard this user.
    221         if (OriginalISE != DenormalizedISE) {
    222           DEBUG(dbgs() << "   DISCARDING (NORMALIZATION ISN'T INVERTIBLE): "
    223                        << *ISE << '\n');
    224           IVUses.pop_back();
    225           return false;
    226         }
    227       }
    228       DEBUG(if (SE->getSCEV(I) != ISE)
    229               dbgs() << "   NORMALIZED TO: " << *ISE << '\n');
    230     }
    231   }
    232   return true;
    233 }
    234 
    235 bool IVUsers::AddUsersIfInteresting(Instruction *I) {
    236   // SCEVExpander can only handle users that are dominated by simplified loop
    237   // entries. Keep track of all loops that are only dominated by other simple
    238   // loops so we don't traverse the domtree for each user.
    239   SmallPtrSet<Loop*,16> SimpleLoopNests;
    240 
    241   return AddUsersImpl(I, SimpleLoopNests);
    242 }
    243 
    244 IVStrideUse &IVUsers::AddUser(Instruction *User, Value *Operand) {
    245   IVUses.push_back(new IVStrideUse(this, User, Operand));
    246   return IVUses.back();
    247 }
    248 
    249 IVUsers::IVUsers()
    250     : LoopPass(ID) {
    251   initializeIVUsersPass(*PassRegistry::getPassRegistry());
    252 }
    253 
    254 void IVUsers::getAnalysisUsage(AnalysisUsage &AU) const {
    255   AU.addRequired<AssumptionCacheTracker>();
    256   AU.addRequired<LoopInfoWrapperPass>();
    257   AU.addRequired<DominatorTreeWrapperPass>();
    258   AU.addRequired<ScalarEvolutionWrapperPass>();
    259   AU.setPreservesAll();
    260 }
    261 
    262 bool IVUsers::runOnLoop(Loop *l, LPPassManager &LPM) {
    263 
    264   L = l;
    265   AC = &getAnalysis<AssumptionCacheTracker>().getAssumptionCache(
    266       *L->getHeader()->getParent());
    267   LI = &getAnalysis<LoopInfoWrapperPass>().getLoopInfo();
    268   DT = &getAnalysis<DominatorTreeWrapperPass>().getDomTree();
    269   SE = &getAnalysis<ScalarEvolutionWrapperPass>().getSE();
    270 
    271   // Collect ephemeral values so that AddUsersIfInteresting skips them.
    272   EphValues.clear();
    273   CodeMetrics::collectEphemeralValues(L, AC, EphValues);
    274 
    275   // Find all uses of induction variables in this loop, and categorize
    276   // them by stride.  Start by finding all of the PHI nodes in the header for
    277   // this loop.  If they are induction variables, inspect their uses.
    278   for (BasicBlock::iterator I = L->getHeader()->begin(); isa<PHINode>(I); ++I)
    279     (void)AddUsersIfInteresting(&*I);
    280 
    281   return false;
    282 }
    283 
    284 void IVUsers::print(raw_ostream &OS, const Module *M) const {
    285   OS << "IV Users for loop ";
    286   L->getHeader()->printAsOperand(OS, false);
    287   if (SE->hasLoopInvariantBackedgeTakenCount(L)) {
    288     OS << " with backedge-taken count "
    289        << *SE->getBackedgeTakenCount(L);
    290   }
    291   OS << ":\n";
    292 
    293   for (ilist<IVStrideUse>::const_iterator UI = IVUses.begin(),
    294        E = IVUses.end(); UI != E; ++UI) {
    295     OS << "  ";
    296     UI->getOperandValToReplace()->printAsOperand(OS, false);
    297     OS << " = " << *getReplacementExpr(*UI);
    298     for (PostIncLoopSet::const_iterator
    299          I = UI->PostIncLoops.begin(),
    300          E = UI->PostIncLoops.end(); I != E; ++I) {
    301       OS << " (post-inc with loop ";
    302       (*I)->getHeader()->printAsOperand(OS, false);
    303       OS << ")";
    304     }
    305     OS << " in  ";
    306     if (UI->getUser())
    307       UI->getUser()->print(OS);
    308     else
    309       OS << "Printing <null> User";
    310     OS << '\n';
    311   }
    312 }
    313 
    314 #if !defined(NDEBUG) || defined(LLVM_ENABLE_DUMP)
    315 void IVUsers::dump() const {
    316   print(dbgs());
    317 }
    318 #endif
    319 
    320 void IVUsers::releaseMemory() {
    321   Processed.clear();
    322   IVUses.clear();
    323 }
    324 
    325 /// getReplacementExpr - Return a SCEV expression which computes the
    326 /// value of the OperandValToReplace.
    327 const SCEV *IVUsers::getReplacementExpr(const IVStrideUse &IU) const {
    328   return SE->getSCEV(IU.getOperandValToReplace());
    329 }
    330 
    331 /// getExpr - Return the expression for the use.
    332 const SCEV *IVUsers::getExpr(const IVStrideUse &IU) const {
    333   return
    334     TransformForPostIncUse(Normalize, getReplacementExpr(IU),
    335                            IU.getUser(), IU.getOperandValToReplace(),
    336                            const_cast<PostIncLoopSet &>(IU.getPostIncLoops()),
    337                            *SE, *DT);
    338 }
    339 
    340 static const SCEVAddRecExpr *findAddRecForLoop(const SCEV *S, const Loop *L) {
    341   if (const SCEVAddRecExpr *AR = dyn_cast<SCEVAddRecExpr>(S)) {
    342     if (AR->getLoop() == L)
    343       return AR;
    344     return findAddRecForLoop(AR->getStart(), L);
    345   }
    346 
    347   if (const SCEVAddExpr *Add = dyn_cast<SCEVAddExpr>(S)) {
    348     for (SCEVAddExpr::op_iterator I = Add->op_begin(), E = Add->op_end();
    349          I != E; ++I)
    350       if (const SCEVAddRecExpr *AR = findAddRecForLoop(*I, L))
    351         return AR;
    352     return nullptr;
    353   }
    354 
    355   return nullptr;
    356 }
    357 
    358 const SCEV *IVUsers::getStride(const IVStrideUse &IU, const Loop *L) const {
    359   if (const SCEVAddRecExpr *AR = findAddRecForLoop(getExpr(IU), L))
    360     return AR->getStepRecurrence(*SE);
    361   return nullptr;
    362 }
    363 
    364 void IVStrideUse::transformToPostInc(const Loop *L) {
    365   PostIncLoops.insert(L);
    366 }
    367 
    368 void IVStrideUse::deleted() {
    369   // Remove this user from the list.
    370   Parent->Processed.erase(this->getUser());
    371   Parent->IVUses.erase(this);
    372   // this now dangles!
    373 }
    374