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