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1 //===-- SimplifyIndVar.cpp - Induction variable simplification ------------===//
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 induction variable simplification. It does
11 // not define any actual pass or policy, but provides a single function to
12 // simplify a loop's induction variables based on ScalarEvolution.
13 //
14 //===----------------------------------------------------------------------===//
15 
16 #define DEBUG_TYPE "indvars"
17 
18 #include "llvm/Instructions.h"
19 #include "llvm/Analysis/Dominators.h"
20 #include "llvm/Analysis/IVUsers.h"
21 #include "llvm/Analysis/LoopInfo.h"
22 #include "llvm/Analysis/LoopPass.h"
23 #include "llvm/Analysis/ScalarEvolutionExpressions.h"
24 #include "llvm/Support/CommandLine.h"
25 #include "llvm/Support/Debug.h"
26 #include "llvm/Support/raw_ostream.h"
27 #include "llvm/Transforms/Utils/SimplifyIndVar.h"
28 #include "llvm/Target/TargetData.h"
29 #include "llvm/ADT/SmallVector.h"
30 #include "llvm/ADT/Statistic.h"
31 
32 using namespace llvm;
33 
34 STATISTIC(NumElimIdentity, "Number of IV identities eliminated");
35 STATISTIC(NumElimOperand,  "Number of IV operands folded into a use");
36 STATISTIC(NumElimRem     , "Number of IV remainder operations eliminated");
37 STATISTIC(NumElimCmp     , "Number of IV comparisons eliminated");
38 
39 namespace {
40   /// SimplifyIndvar - This is a utility for simplifying induction variables
41   /// based on ScalarEvolution. It is the primary instrument of the
42   /// IndvarSimplify pass, but it may also be directly invoked to cleanup after
43   /// other loop passes that preserve SCEV.
44   class SimplifyIndvar {
45     Loop             *L;
46     LoopInfo         *LI;
47     DominatorTree    *DT;
48     ScalarEvolution  *SE;
49     IVUsers          *IU; // NULL for DisableIVRewrite
50     const TargetData *TD; // May be NULL
51 
52     SmallVectorImpl<WeakVH> &DeadInsts;
53 
54     bool Changed;
55 
56   public:
SimplifyIndvar(Loop * Loop,ScalarEvolution * SE,LPPassManager * LPM,SmallVectorImpl<WeakVH> & Dead,IVUsers * IVU=NULL)57     SimplifyIndvar(Loop *Loop, ScalarEvolution *SE, LPPassManager *LPM,
58                    SmallVectorImpl<WeakVH> &Dead, IVUsers *IVU = NULL) :
59       L(Loop),
60       LI(LPM->getAnalysisIfAvailable<LoopInfo>()),
61       SE(SE),
62       IU(IVU),
63       TD(LPM->getAnalysisIfAvailable<TargetData>()),
64       DeadInsts(Dead),
65       Changed(false) {
66       assert(LI && "IV simplification requires LoopInfo");
67     }
68 
hasChanged() const69     bool hasChanged() const { return Changed; }
70 
71     /// Iteratively perform simplification on a worklist of users of the
72     /// specified induction variable. This is the top-level driver that applies
73     /// all simplicitions to users of an IV.
74     void simplifyUsers(PHINode *CurrIV, IVVisitor *V = NULL);
75 
76     Value *foldIVUser(Instruction *UseInst, Instruction *IVOperand);
77 
78     bool eliminateIVUser(Instruction *UseInst, Instruction *IVOperand);
79     void eliminateIVComparison(ICmpInst *ICmp, Value *IVOperand);
80     void eliminateIVRemainder(BinaryOperator *Rem, Value *IVOperand,
81                               bool IsSigned);
82   };
83 }
84 
85 /// foldIVUser - Fold an IV operand into its use.  This removes increments of an
86 /// aligned IV when used by a instruction that ignores the low bits.
87 ///
88 /// IVOperand is guaranteed SCEVable, but UseInst may not be.
89 ///
90 /// Return the operand of IVOperand for this induction variable if IVOperand can
91 /// be folded (in case more folding opportunities have been exposed).
92 /// Otherwise return null.
foldIVUser(Instruction * UseInst,Instruction * IVOperand)93 Value *SimplifyIndvar::foldIVUser(Instruction *UseInst, Instruction *IVOperand) {
94   Value *IVSrc = 0;
95   unsigned OperIdx = 0;
96   const SCEV *FoldedExpr = 0;
97   switch (UseInst->getOpcode()) {
98   default:
99     return 0;
100   case Instruction::UDiv:
101   case Instruction::LShr:
102     // We're only interested in the case where we know something about
103     // the numerator and have a constant denominator.
104     if (IVOperand != UseInst->getOperand(OperIdx) ||
105         !isa<ConstantInt>(UseInst->getOperand(1)))
106       return 0;
107 
108     // Attempt to fold a binary operator with constant operand.
109     // e.g. ((I + 1) >> 2) => I >> 2
110     if (IVOperand->getNumOperands() != 2 ||
111         !isa<ConstantInt>(IVOperand->getOperand(1)))
112       return 0;
113 
114     IVSrc = IVOperand->getOperand(0);
115     // IVSrc must be the (SCEVable) IV, since the other operand is const.
116     assert(SE->isSCEVable(IVSrc->getType()) && "Expect SCEVable IV operand");
117 
118     ConstantInt *D = cast<ConstantInt>(UseInst->getOperand(1));
119     if (UseInst->getOpcode() == Instruction::LShr) {
120       // Get a constant for the divisor. See createSCEV.
121       uint32_t BitWidth = cast<IntegerType>(UseInst->getType())->getBitWidth();
122       if (D->getValue().uge(BitWidth))
123         return 0;
124 
125       D = ConstantInt::get(UseInst->getContext(),
126                            APInt(BitWidth, 1).shl(D->getZExtValue()));
127     }
128     FoldedExpr = SE->getUDivExpr(SE->getSCEV(IVSrc), SE->getSCEV(D));
129   }
130   // We have something that might fold it's operand. Compare SCEVs.
131   if (!SE->isSCEVable(UseInst->getType()))
132     return 0;
133 
134   // Bypass the operand if SCEV can prove it has no effect.
135   if (SE->getSCEV(UseInst) != FoldedExpr)
136     return 0;
137 
138   DEBUG(dbgs() << "INDVARS: Eliminated IV operand: " << *IVOperand
139         << " -> " << *UseInst << '\n');
140 
141   UseInst->setOperand(OperIdx, IVSrc);
142   assert(SE->getSCEV(UseInst) == FoldedExpr && "bad SCEV with folded oper");
143 
144   ++NumElimOperand;
145   Changed = true;
146   if (IVOperand->use_empty())
147     DeadInsts.push_back(IVOperand);
148   return IVSrc;
149 }
150 
151 /// eliminateIVComparison - SimplifyIVUsers helper for eliminating useless
152 /// comparisons against an induction variable.
eliminateIVComparison(ICmpInst * ICmp,Value * IVOperand)153 void SimplifyIndvar::eliminateIVComparison(ICmpInst *ICmp, Value *IVOperand) {
154   unsigned IVOperIdx = 0;
155   ICmpInst::Predicate Pred = ICmp->getPredicate();
156   if (IVOperand != ICmp->getOperand(0)) {
157     // Swapped
158     assert(IVOperand == ICmp->getOperand(1) && "Can't find IVOperand");
159     IVOperIdx = 1;
160     Pred = ICmpInst::getSwappedPredicate(Pred);
161   }
162 
163   // Get the SCEVs for the ICmp operands.
164   const SCEV *S = SE->getSCEV(ICmp->getOperand(IVOperIdx));
165   const SCEV *X = SE->getSCEV(ICmp->getOperand(1 - IVOperIdx));
166 
167   // Simplify unnecessary loops away.
168   const Loop *ICmpLoop = LI->getLoopFor(ICmp->getParent());
169   S = SE->getSCEVAtScope(S, ICmpLoop);
170   X = SE->getSCEVAtScope(X, ICmpLoop);
171 
172   // If the condition is always true or always false, replace it with
173   // a constant value.
174   if (SE->isKnownPredicate(Pred, S, X))
175     ICmp->replaceAllUsesWith(ConstantInt::getTrue(ICmp->getContext()));
176   else if (SE->isKnownPredicate(ICmpInst::getInversePredicate(Pred), S, X))
177     ICmp->replaceAllUsesWith(ConstantInt::getFalse(ICmp->getContext()));
178   else
179     return;
180 
181   DEBUG(dbgs() << "INDVARS: Eliminated comparison: " << *ICmp << '\n');
182   ++NumElimCmp;
183   Changed = true;
184   DeadInsts.push_back(ICmp);
185 }
186 
187 /// eliminateIVRemainder - SimplifyIVUsers helper for eliminating useless
188 /// remainder operations operating on an induction variable.
eliminateIVRemainder(BinaryOperator * Rem,Value * IVOperand,bool IsSigned)189 void SimplifyIndvar::eliminateIVRemainder(BinaryOperator *Rem,
190                                       Value *IVOperand,
191                                       bool IsSigned) {
192   // We're only interested in the case where we know something about
193   // the numerator.
194   if (IVOperand != Rem->getOperand(0))
195     return;
196 
197   // Get the SCEVs for the ICmp operands.
198   const SCEV *S = SE->getSCEV(Rem->getOperand(0));
199   const SCEV *X = SE->getSCEV(Rem->getOperand(1));
200 
201   // Simplify unnecessary loops away.
202   const Loop *ICmpLoop = LI->getLoopFor(Rem->getParent());
203   S = SE->getSCEVAtScope(S, ICmpLoop);
204   X = SE->getSCEVAtScope(X, ICmpLoop);
205 
206   // i % n  -->  i  if i is in [0,n).
207   if ((!IsSigned || SE->isKnownNonNegative(S)) &&
208       SE->isKnownPredicate(IsSigned ? ICmpInst::ICMP_SLT : ICmpInst::ICMP_ULT,
209                            S, X))
210     Rem->replaceAllUsesWith(Rem->getOperand(0));
211   else {
212     // (i+1) % n  -->  (i+1)==n?0:(i+1)  if i is in [0,n).
213     const SCEV *LessOne =
214       SE->getMinusSCEV(S, SE->getConstant(S->getType(), 1));
215     if (IsSigned && !SE->isKnownNonNegative(LessOne))
216       return;
217 
218     if (!SE->isKnownPredicate(IsSigned ?
219                               ICmpInst::ICMP_SLT : ICmpInst::ICMP_ULT,
220                               LessOne, X))
221       return;
222 
223     ICmpInst *ICmp = new ICmpInst(Rem, ICmpInst::ICMP_EQ,
224                                   Rem->getOperand(0), Rem->getOperand(1));
225     SelectInst *Sel =
226       SelectInst::Create(ICmp,
227                          ConstantInt::get(Rem->getType(), 0),
228                          Rem->getOperand(0), "tmp", Rem);
229     Rem->replaceAllUsesWith(Sel);
230   }
231 
232   // Inform IVUsers about the new users.
233   if (IU) {
234     if (Instruction *I = dyn_cast<Instruction>(Rem->getOperand(0)))
235       IU->AddUsersIfInteresting(I);
236   }
237   DEBUG(dbgs() << "INDVARS: Simplified rem: " << *Rem << '\n');
238   ++NumElimRem;
239   Changed = true;
240   DeadInsts.push_back(Rem);
241 }
242 
243 /// eliminateIVUser - Eliminate an operation that consumes a simple IV and has
244 /// no observable side-effect given the range of IV values.
245 /// IVOperand is guaranteed SCEVable, but UseInst may not be.
eliminateIVUser(Instruction * UseInst,Instruction * IVOperand)246 bool SimplifyIndvar::eliminateIVUser(Instruction *UseInst,
247                                      Instruction *IVOperand) {
248   if (ICmpInst *ICmp = dyn_cast<ICmpInst>(UseInst)) {
249     eliminateIVComparison(ICmp, IVOperand);
250     return true;
251   }
252   if (BinaryOperator *Rem = dyn_cast<BinaryOperator>(UseInst)) {
253     bool IsSigned = Rem->getOpcode() == Instruction::SRem;
254     if (IsSigned || Rem->getOpcode() == Instruction::URem) {
255       eliminateIVRemainder(Rem, IVOperand, IsSigned);
256       return true;
257     }
258   }
259 
260   // Eliminate any operation that SCEV can prove is an identity function.
261   if (!SE->isSCEVable(UseInst->getType()) ||
262       (UseInst->getType() != IVOperand->getType()) ||
263       (SE->getSCEV(UseInst) != SE->getSCEV(IVOperand)))
264     return false;
265 
266   DEBUG(dbgs() << "INDVARS: Eliminated identity: " << *UseInst << '\n');
267 
268   UseInst->replaceAllUsesWith(IVOperand);
269   ++NumElimIdentity;
270   Changed = true;
271   DeadInsts.push_back(UseInst);
272   return true;
273 }
274 
275 /// pushIVUsers - Add all uses of Def to the current IV's worklist.
276 ///
pushIVUsers(Instruction * Def,SmallPtrSet<Instruction *,16> & Simplified,SmallVectorImpl<std::pair<Instruction *,Instruction * >> & SimpleIVUsers)277 static void pushIVUsers(
278   Instruction *Def,
279   SmallPtrSet<Instruction*,16> &Simplified,
280   SmallVectorImpl< std::pair<Instruction*,Instruction*> > &SimpleIVUsers) {
281 
282   for (Value::use_iterator UI = Def->use_begin(), E = Def->use_end();
283        UI != E; ++UI) {
284     Instruction *User = cast<Instruction>(*UI);
285 
286     // Avoid infinite or exponential worklist processing.
287     // Also ensure unique worklist users.
288     // If Def is a LoopPhi, it may not be in the Simplified set, so check for
289     // self edges first.
290     if (User != Def && Simplified.insert(User))
291       SimpleIVUsers.push_back(std::make_pair(User, Def));
292   }
293 }
294 
295 /// isSimpleIVUser - Return true if this instruction generates a simple SCEV
296 /// expression in terms of that IV.
297 ///
298 /// This is similar to IVUsers' isInteresting() but processes each instruction
299 /// non-recursively when the operand is already known to be a simpleIVUser.
300 ///
isSimpleIVUser(Instruction * I,const Loop * L,ScalarEvolution * SE)301 static bool isSimpleIVUser(Instruction *I, const Loop *L, ScalarEvolution *SE) {
302   if (!SE->isSCEVable(I->getType()))
303     return false;
304 
305   // Get the symbolic expression for this instruction.
306   const SCEV *S = SE->getSCEV(I);
307 
308   // Only consider affine recurrences.
309   const SCEVAddRecExpr *AR = dyn_cast<SCEVAddRecExpr>(S);
310   if (AR && AR->getLoop() == L)
311     return true;
312 
313   return false;
314 }
315 
316 /// simplifyUsers - Iteratively perform simplification on a worklist of users
317 /// of the specified induction variable. Each successive simplification may push
318 /// more users which may themselves be candidates for simplification.
319 ///
320 /// This algorithm does not require IVUsers analysis. Instead, it simplifies
321 /// instructions in-place during analysis. Rather than rewriting induction
322 /// variables bottom-up from their users, it transforms a chain of IVUsers
323 /// top-down, updating the IR only when it encouters a clear optimization
324 /// opportunitiy.
325 ///
326 /// Once DisableIVRewrite is default, LSR will be the only client of IVUsers.
327 ///
simplifyUsers(PHINode * CurrIV,IVVisitor * V)328 void SimplifyIndvar::simplifyUsers(PHINode *CurrIV, IVVisitor *V) {
329   if (!SE->isSCEVable(CurrIV->getType()))
330     return;
331 
332   // Instructions processed by SimplifyIndvar for CurrIV.
333   SmallPtrSet<Instruction*,16> Simplified;
334 
335   // Use-def pairs if IV users waiting to be processed for CurrIV.
336   SmallVector<std::pair<Instruction*, Instruction*>, 8> SimpleIVUsers;
337 
338   // Push users of the current LoopPhi. In rare cases, pushIVUsers may be
339   // called multiple times for the same LoopPhi. This is the proper thing to
340   // do for loop header phis that use each other.
341   pushIVUsers(CurrIV, Simplified, SimpleIVUsers);
342 
343   while (!SimpleIVUsers.empty()) {
344     std::pair<Instruction*, Instruction*> UseOper =
345       SimpleIVUsers.pop_back_val();
346     // Bypass back edges to avoid extra work.
347     if (UseOper.first == CurrIV) continue;
348 
349     Instruction *IVOperand = UseOper.second;
350     for (unsigned N = 0; IVOperand; ++N) {
351       assert(N <= Simplified.size() && "runaway iteration");
352 
353       Value *NewOper = foldIVUser(UseOper.first, IVOperand);
354       if (!NewOper)
355         break; // done folding
356       IVOperand = dyn_cast<Instruction>(NewOper);
357     }
358     if (!IVOperand)
359       continue;
360 
361     if (eliminateIVUser(UseOper.first, IVOperand)) {
362       pushIVUsers(IVOperand, Simplified, SimpleIVUsers);
363       continue;
364     }
365     CastInst *Cast = dyn_cast<CastInst>(UseOper.first);
366     if (V && Cast) {
367       V->visitCast(Cast);
368       continue;
369     }
370     if (isSimpleIVUser(UseOper.first, L, SE)) {
371       pushIVUsers(UseOper.first, Simplified, SimpleIVUsers);
372     }
373   }
374 }
375 
376 namespace llvm {
377 
378 /// simplifyUsersOfIV - Simplify instructions that use this induction variable
379 /// by using ScalarEvolution to analyze the IV's recurrence.
simplifyUsersOfIV(PHINode * CurrIV,ScalarEvolution * SE,LPPassManager * LPM,SmallVectorImpl<WeakVH> & Dead,IVVisitor * V)380 bool simplifyUsersOfIV(PHINode *CurrIV, ScalarEvolution *SE, LPPassManager *LPM,
381                        SmallVectorImpl<WeakVH> &Dead, IVVisitor *V)
382 {
383   LoopInfo *LI = &LPM->getAnalysis<LoopInfo>();
384   SimplifyIndvar SIV(LI->getLoopFor(CurrIV->getParent()), SE, LPM, Dead);
385   SIV.simplifyUsers(CurrIV, V);
386   return SIV.hasChanged();
387 }
388 
389 /// simplifyLoopIVs - Simplify users of induction variables within this
390 /// loop. This does not actually change or add IVs.
simplifyLoopIVs(Loop * L,ScalarEvolution * SE,LPPassManager * LPM,SmallVectorImpl<WeakVH> & Dead)391 bool simplifyLoopIVs(Loop *L, ScalarEvolution *SE, LPPassManager *LPM,
392                      SmallVectorImpl<WeakVH> &Dead) {
393   bool Changed = false;
394   for (BasicBlock::iterator I = L->getHeader()->begin(); isa<PHINode>(I); ++I) {
395     Changed |= simplifyUsersOfIV(cast<PHINode>(I), SE, LPM, Dead);
396   }
397   return Changed;
398 }
399 
400 /// simplifyIVUsers - Perform simplification on instructions recorded by the
401 /// IVUsers pass.
402 ///
403 /// This is the old approach to IV simplification to be replaced by
404 /// SimplifyLoopIVs.
simplifyIVUsers(IVUsers * IU,ScalarEvolution * SE,LPPassManager * LPM,SmallVectorImpl<WeakVH> & Dead)405 bool simplifyIVUsers(IVUsers *IU, ScalarEvolution *SE, LPPassManager *LPM,
406                      SmallVectorImpl<WeakVH> &Dead) {
407   SimplifyIndvar SIV(IU->getLoop(), SE, LPM, Dead);
408 
409   // Each round of simplification involves a round of eliminating operations
410   // followed by a round of widening IVs. A single IVUsers worklist is used
411   // across all rounds. The inner loop advances the user. If widening exposes
412   // more uses, then another pass through the outer loop is triggered.
413   for (IVUsers::iterator I = IU->begin(); I != IU->end(); ++I) {
414     Instruction *UseInst = I->getUser();
415     Value *IVOperand = I->getOperandValToReplace();
416 
417     if (ICmpInst *ICmp = dyn_cast<ICmpInst>(UseInst)) {
418       SIV.eliminateIVComparison(ICmp, IVOperand);
419       continue;
420     }
421     if (BinaryOperator *Rem = dyn_cast<BinaryOperator>(UseInst)) {
422       bool IsSigned = Rem->getOpcode() == Instruction::SRem;
423       if (IsSigned || Rem->getOpcode() == Instruction::URem) {
424         SIV.eliminateIVRemainder(Rem, IVOperand, IsSigned);
425         continue;
426       }
427     }
428   }
429   return SIV.hasChanged();
430 }
431 
432 } // namespace llvm
433