1 //===---- DemandedBits.cpp - Determine demanded bits ----------------------===//
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 pass implements a demanded bits analysis. A demanded bit is one that
11 // contributes to a result; bits that are not demanded can be either zero or
12 // one without affecting control or data flow. For example in this sequence:
13 //
14 //   %1 = add i32 %x, %y
15 //   %2 = trunc i32 %1 to i16
16 //
17 // Only the lowest 16 bits of %1 are demanded; the rest are removed by the
18 // trunc.
19 //
20 //===----------------------------------------------------------------------===//
21 
22 #include "llvm/Analysis/DemandedBits.h"
23 #include "llvm/ADT/DepthFirstIterator.h"
24 #include "llvm/ADT/SmallPtrSet.h"
25 #include "llvm/ADT/SmallVector.h"
26 #include "llvm/ADT/StringExtras.h"
27 #include "llvm/Analysis/AssumptionCache.h"
28 #include "llvm/Analysis/ValueTracking.h"
29 #include "llvm/IR/BasicBlock.h"
30 #include "llvm/IR/CFG.h"
31 #include "llvm/IR/DataLayout.h"
32 #include "llvm/IR/Dominators.h"
33 #include "llvm/IR/InstIterator.h"
34 #include "llvm/IR/Instructions.h"
35 #include "llvm/IR/IntrinsicInst.h"
36 #include "llvm/IR/Module.h"
37 #include "llvm/IR/Operator.h"
38 #include "llvm/Pass.h"
39 #include "llvm/Support/Debug.h"
40 #include "llvm/Support/KnownBits.h"
41 #include "llvm/Support/raw_ostream.h"
42 using namespace llvm;
43 
44 #define DEBUG_TYPE "demanded-bits"
45 
46 char DemandedBitsWrapperPass::ID = 0;
47 INITIALIZE_PASS_BEGIN(DemandedBitsWrapperPass, "demanded-bits",
48                       "Demanded bits analysis", false, false)
49 INITIALIZE_PASS_DEPENDENCY(AssumptionCacheTracker)
50 INITIALIZE_PASS_DEPENDENCY(DominatorTreeWrapperPass)
51 INITIALIZE_PASS_END(DemandedBitsWrapperPass, "demanded-bits",
52                     "Demanded bits analysis", false, false)
53 
54 DemandedBitsWrapperPass::DemandedBitsWrapperPass() : FunctionPass(ID) {
55   initializeDemandedBitsWrapperPassPass(*PassRegistry::getPassRegistry());
56 }
57 
58 void DemandedBitsWrapperPass::getAnalysisUsage(AnalysisUsage &AU) const {
59   AU.setPreservesCFG();
60   AU.addRequired<AssumptionCacheTracker>();
61   AU.addRequired<DominatorTreeWrapperPass>();
62   AU.setPreservesAll();
63 }
64 
65 void DemandedBitsWrapperPass::print(raw_ostream &OS, const Module *M) const {
66   DB->print(OS);
67 }
68 
69 static bool isAlwaysLive(Instruction *I) {
70   return isa<TerminatorInst>(I) || isa<DbgInfoIntrinsic>(I) ||
71       I->isEHPad() || I->mayHaveSideEffects();
72 }
73 
74 void DemandedBits::determineLiveOperandBits(
75     const Instruction *UserI, const Instruction *I, unsigned OperandNo,
76     const APInt &AOut, APInt &AB, KnownBits &Known, KnownBits &Known2) {
77   unsigned BitWidth = AB.getBitWidth();
78 
79   // We're called once per operand, but for some instructions, we need to
80   // compute known bits of both operands in order to determine the live bits of
81   // either (when both operands are instructions themselves). We don't,
82   // however, want to do this twice, so we cache the result in APInts that live
83   // in the caller. For the two-relevant-operands case, both operand values are
84   // provided here.
85   auto ComputeKnownBits =
86       [&](unsigned BitWidth, const Value *V1, const Value *V2) {
87         const DataLayout &DL = I->getModule()->getDataLayout();
88         Known = KnownBits(BitWidth);
89         computeKnownBits(V1, Known, DL, 0, &AC, UserI, &DT);
90 
91         if (V2) {
92           Known2 = KnownBits(BitWidth);
93           computeKnownBits(V2, Known2, DL, 0, &AC, UserI, &DT);
94         }
95       };
96 
97   switch (UserI->getOpcode()) {
98   default: break;
99   case Instruction::Call:
100   case Instruction::Invoke:
101     if (const IntrinsicInst *II = dyn_cast<IntrinsicInst>(UserI))
102       switch (II->getIntrinsicID()) {
103       default: break;
104       case Intrinsic::bswap:
105         // The alive bits of the input are the swapped alive bits of
106         // the output.
107         AB = AOut.byteSwap();
108         break;
109       case Intrinsic::bitreverse:
110         // The alive bits of the input are the reversed alive bits of
111         // the output.
112         AB = AOut.reverseBits();
113         break;
114       case Intrinsic::ctlz:
115         if (OperandNo == 0) {
116           // We need some output bits, so we need all bits of the
117           // input to the left of, and including, the leftmost bit
118           // known to be one.
119           ComputeKnownBits(BitWidth, I, nullptr);
120           AB = APInt::getHighBitsSet(BitWidth,
121                  std::min(BitWidth, Known.countMaxLeadingZeros()+1));
122         }
123         break;
124       case Intrinsic::cttz:
125         if (OperandNo == 0) {
126           // We need some output bits, so we need all bits of the
127           // input to the right of, and including, the rightmost bit
128           // known to be one.
129           ComputeKnownBits(BitWidth, I, nullptr);
130           AB = APInt::getLowBitsSet(BitWidth,
131                  std::min(BitWidth, Known.countMaxTrailingZeros()+1));
132         }
133         break;
134       }
135     break;
136   case Instruction::Add:
137   case Instruction::Sub:
138   case Instruction::Mul:
139     // Find the highest live output bit. We don't need any more input
140     // bits than that (adds, and thus subtracts, ripple only to the
141     // left).
142     AB = APInt::getLowBitsSet(BitWidth, AOut.getActiveBits());
143     break;
144   case Instruction::Shl:
145     if (OperandNo == 0)
146       if (auto *ShiftAmtC = dyn_cast<ConstantInt>(UserI->getOperand(1))) {
147         uint64_t ShiftAmt = ShiftAmtC->getLimitedValue(BitWidth - 1);
148         AB = AOut.lshr(ShiftAmt);
149 
150         // If the shift is nuw/nsw, then the high bits are not dead
151         // (because we've promised that they *must* be zero).
152         const ShlOperator *S = cast<ShlOperator>(UserI);
153         if (S->hasNoSignedWrap())
154           AB |= APInt::getHighBitsSet(BitWidth, ShiftAmt+1);
155         else if (S->hasNoUnsignedWrap())
156           AB |= APInt::getHighBitsSet(BitWidth, ShiftAmt);
157       }
158     break;
159   case Instruction::LShr:
160     if (OperandNo == 0)
161       if (auto *ShiftAmtC = dyn_cast<ConstantInt>(UserI->getOperand(1))) {
162         uint64_t ShiftAmt = ShiftAmtC->getLimitedValue(BitWidth - 1);
163         AB = AOut.shl(ShiftAmt);
164 
165         // If the shift is exact, then the low bits are not dead
166         // (they must be zero).
167         if (cast<LShrOperator>(UserI)->isExact())
168           AB |= APInt::getLowBitsSet(BitWidth, ShiftAmt);
169       }
170     break;
171   case Instruction::AShr:
172     if (OperandNo == 0)
173       if (auto *ShiftAmtC = dyn_cast<ConstantInt>(UserI->getOperand(1))) {
174         uint64_t ShiftAmt = ShiftAmtC->getLimitedValue(BitWidth - 1);
175         AB = AOut.shl(ShiftAmt);
176         // Because the high input bit is replicated into the
177         // high-order bits of the result, if we need any of those
178         // bits, then we must keep the highest input bit.
179         if ((AOut & APInt::getHighBitsSet(BitWidth, ShiftAmt))
180             .getBoolValue())
181           AB.setSignBit();
182 
183         // If the shift is exact, then the low bits are not dead
184         // (they must be zero).
185         if (cast<AShrOperator>(UserI)->isExact())
186           AB |= APInt::getLowBitsSet(BitWidth, ShiftAmt);
187       }
188     break;
189   case Instruction::And:
190     AB = AOut;
191 
192     // For bits that are known zero, the corresponding bits in the
193     // other operand are dead (unless they're both zero, in which
194     // case they can't both be dead, so just mark the LHS bits as
195     // dead).
196     if (OperandNo == 0) {
197       ComputeKnownBits(BitWidth, I, UserI->getOperand(1));
198       AB &= ~Known2.Zero;
199     } else {
200       if (!isa<Instruction>(UserI->getOperand(0)))
201         ComputeKnownBits(BitWidth, UserI->getOperand(0), I);
202       AB &= ~(Known.Zero & ~Known2.Zero);
203     }
204     break;
205   case Instruction::Or:
206     AB = AOut;
207 
208     // For bits that are known one, the corresponding bits in the
209     // other operand are dead (unless they're both one, in which
210     // case they can't both be dead, so just mark the LHS bits as
211     // dead).
212     if (OperandNo == 0) {
213       ComputeKnownBits(BitWidth, I, UserI->getOperand(1));
214       AB &= ~Known2.One;
215     } else {
216       if (!isa<Instruction>(UserI->getOperand(0)))
217         ComputeKnownBits(BitWidth, UserI->getOperand(0), I);
218       AB &= ~(Known.One & ~Known2.One);
219     }
220     break;
221   case Instruction::Xor:
222   case Instruction::PHI:
223     AB = AOut;
224     break;
225   case Instruction::Trunc:
226     AB = AOut.zext(BitWidth);
227     break;
228   case Instruction::ZExt:
229     AB = AOut.trunc(BitWidth);
230     break;
231   case Instruction::SExt:
232     AB = AOut.trunc(BitWidth);
233     // Because the high input bit is replicated into the
234     // high-order bits of the result, if we need any of those
235     // bits, then we must keep the highest input bit.
236     if ((AOut & APInt::getHighBitsSet(AOut.getBitWidth(),
237                                       AOut.getBitWidth() - BitWidth))
238         .getBoolValue())
239       AB.setSignBit();
240     break;
241   case Instruction::Select:
242     if (OperandNo != 0)
243       AB = AOut;
244     break;
245   }
246 }
247 
248 bool DemandedBitsWrapperPass::runOnFunction(Function &F) {
249   auto &AC = getAnalysis<AssumptionCacheTracker>().getAssumptionCache(F);
250   auto &DT = getAnalysis<DominatorTreeWrapperPass>().getDomTree();
251   DB.emplace(F, AC, DT);
252   return false;
253 }
254 
255 void DemandedBitsWrapperPass::releaseMemory() {
256   DB.reset();
257 }
258 
259 void DemandedBits::performAnalysis() {
260   if (Analyzed)
261     // Analysis already completed for this function.
262     return;
263   Analyzed = true;
264 
265   Visited.clear();
266   AliveBits.clear();
267 
268   SmallVector<Instruction*, 128> Worklist;
269 
270   // Collect the set of "root" instructions that are known live.
271   for (Instruction &I : instructions(F)) {
272     if (!isAlwaysLive(&I))
273       continue;
274 
275     DEBUG(dbgs() << "DemandedBits: Root: " << I << "\n");
276     // For integer-valued instructions, set up an initial empty set of alive
277     // bits and add the instruction to the work list. For other instructions
278     // add their operands to the work list (for integer values operands, mark
279     // all bits as live).
280     if (IntegerType *IT = dyn_cast<IntegerType>(I.getType())) {
281       if (AliveBits.try_emplace(&I, IT->getBitWidth(), 0).second)
282         Worklist.push_back(&I);
283 
284       continue;
285     }
286 
287     // Non-integer-typed instructions...
288     for (Use &OI : I.operands()) {
289       if (Instruction *J = dyn_cast<Instruction>(OI)) {
290         if (IntegerType *IT = dyn_cast<IntegerType>(J->getType()))
291           AliveBits[J] = APInt::getAllOnesValue(IT->getBitWidth());
292         Worklist.push_back(J);
293       }
294     }
295     // To save memory, we don't add I to the Visited set here. Instead, we
296     // check isAlwaysLive on every instruction when searching for dead
297     // instructions later (we need to check isAlwaysLive for the
298     // integer-typed instructions anyway).
299   }
300 
301   // Propagate liveness backwards to operands.
302   while (!Worklist.empty()) {
303     Instruction *UserI = Worklist.pop_back_val();
304 
305     DEBUG(dbgs() << "DemandedBits: Visiting: " << *UserI);
306     APInt AOut;
307     if (UserI->getType()->isIntegerTy()) {
308       AOut = AliveBits[UserI];
309       DEBUG(dbgs() << " Alive Out: " << AOut);
310     }
311     DEBUG(dbgs() << "\n");
312 
313     if (!UserI->getType()->isIntegerTy())
314       Visited.insert(UserI);
315 
316     KnownBits Known, Known2;
317     // Compute the set of alive bits for each operand. These are anded into the
318     // existing set, if any, and if that changes the set of alive bits, the
319     // operand is added to the work-list.
320     for (Use &OI : UserI->operands()) {
321       if (Instruction *I = dyn_cast<Instruction>(OI)) {
322         if (IntegerType *IT = dyn_cast<IntegerType>(I->getType())) {
323           unsigned BitWidth = IT->getBitWidth();
324           APInt AB = APInt::getAllOnesValue(BitWidth);
325           if (UserI->getType()->isIntegerTy() && !AOut &&
326               !isAlwaysLive(UserI)) {
327             AB = APInt(BitWidth, 0);
328           } else {
329             // If all bits of the output are dead, then all bits of the input
330             // Bits of each operand that are used to compute alive bits of the
331             // output are alive, all others are dead.
332             determineLiveOperandBits(UserI, I, OI.getOperandNo(), AOut, AB,
333                                      Known, Known2);
334           }
335 
336           // If we've added to the set of alive bits (or the operand has not
337           // been previously visited), then re-queue the operand to be visited
338           // again.
339           APInt ABPrev(BitWidth, 0);
340           auto ABI = AliveBits.find(I);
341           if (ABI != AliveBits.end())
342             ABPrev = ABI->second;
343 
344           APInt ABNew = AB | ABPrev;
345           if (ABNew != ABPrev || ABI == AliveBits.end()) {
346             AliveBits[I] = std::move(ABNew);
347             Worklist.push_back(I);
348           }
349         } else if (!Visited.count(I)) {
350           Worklist.push_back(I);
351         }
352       }
353     }
354   }
355 }
356 
357 APInt DemandedBits::getDemandedBits(Instruction *I) {
358   performAnalysis();
359 
360   const DataLayout &DL = I->getParent()->getModule()->getDataLayout();
361   auto Found = AliveBits.find(I);
362   if (Found != AliveBits.end())
363     return Found->second;
364   return APInt::getAllOnesValue(DL.getTypeSizeInBits(I->getType()));
365 }
366 
367 bool DemandedBits::isInstructionDead(Instruction *I) {
368   performAnalysis();
369 
370   return !Visited.count(I) && AliveBits.find(I) == AliveBits.end() &&
371     !isAlwaysLive(I);
372 }
373 
374 void DemandedBits::print(raw_ostream &OS) {
375   performAnalysis();
376   for (auto &KV : AliveBits) {
377     OS << "DemandedBits: 0x" << utohexstr(KV.second.getLimitedValue()) << " for "
378        << *KV.first << "\n";
379   }
380 }
381 
382 FunctionPass *llvm::createDemandedBitsWrapperPass() {
383   return new DemandedBitsWrapperPass();
384 }
385 
386 AnalysisKey DemandedBitsAnalysis::Key;
387 
388 DemandedBits DemandedBitsAnalysis::run(Function &F,
389                                              FunctionAnalysisManager &AM) {
390   auto &AC = AM.getResult<AssumptionAnalysis>(F);
391   auto &DT = AM.getResult<DominatorTreeAnalysis>(F);
392   return DemandedBits(F, AC, DT);
393 }
394 
395 PreservedAnalyses DemandedBitsPrinterPass::run(Function &F,
396                                                FunctionAnalysisManager &AM) {
397   AM.getResult<DemandedBitsAnalysis>(F).print(OS);
398   return PreservedAnalyses::all();
399 }
400