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/DenseMap.h" 24 #include "llvm/ADT/DepthFirstIterator.h" 25 #include "llvm/ADT/SmallPtrSet.h" 26 #include "llvm/ADT/SmallVector.h" 27 #include "llvm/ADT/StringExtras.h" 28 #include "llvm/Analysis/AssumptionCache.h" 29 #include "llvm/Analysis/ValueTracking.h" 30 #include "llvm/IR/BasicBlock.h" 31 #include "llvm/IR/CFG.h" 32 #include "llvm/IR/DataLayout.h" 33 #include "llvm/IR/Dominators.h" 34 #include "llvm/IR/InstIterator.h" 35 #include "llvm/IR/Instructions.h" 36 #include "llvm/IR/IntrinsicInst.h" 37 #include "llvm/IR/Module.h" 38 #include "llvm/IR/Operator.h" 39 #include "llvm/Pass.h" 40 #include "llvm/Support/Debug.h" 41 #include "llvm/Support/raw_ostream.h" 42 using namespace llvm; 43 44 #define DEBUG_TYPE "demanded-bits" 45 46 char DemandedBits::ID = 0; 47 INITIALIZE_PASS_BEGIN(DemandedBits, "demanded-bits", "Demanded bits analysis", 48 false, false) 49 INITIALIZE_PASS_DEPENDENCY(AssumptionCacheTracker) 50 INITIALIZE_PASS_DEPENDENCY(DominatorTreeWrapperPass) 51 INITIALIZE_PASS_END(DemandedBits, "demanded-bits", "Demanded bits analysis", 52 false, false) 53 54 DemandedBits::DemandedBits() : FunctionPass(ID), F(nullptr), Analyzed(false) { 55 initializeDemandedBitsPass(*PassRegistry::getPassRegistry()); 56 } 57 58 void DemandedBits::getAnalysisUsage(AnalysisUsage &AU) const { 59 AU.setPreservesCFG(); 60 AU.addRequired<AssumptionCacheTracker>(); 61 AU.addRequired<DominatorTreeWrapperPass>(); 62 AU.setPreservesAll(); 63 } 64 65 static bool isAlwaysLive(Instruction *I) { 66 return isa<TerminatorInst>(I) || isa<DbgInfoIntrinsic>(I) || 67 I->isEHPad() || I->mayHaveSideEffects(); 68 } 69 70 void DemandedBits::determineLiveOperandBits( 71 const Instruction *UserI, const Instruction *I, unsigned OperandNo, 72 const APInt &AOut, APInt &AB, APInt &KnownZero, APInt &KnownOne, 73 APInt &KnownZero2, APInt &KnownOne2) { 74 unsigned BitWidth = AB.getBitWidth(); 75 76 // We're called once per operand, but for some instructions, we need to 77 // compute known bits of both operands in order to determine the live bits of 78 // either (when both operands are instructions themselves). We don't, 79 // however, want to do this twice, so we cache the result in APInts that live 80 // in the caller. For the two-relevant-operands case, both operand values are 81 // provided here. 82 auto ComputeKnownBits = 83 [&](unsigned BitWidth, const Value *V1, const Value *V2) { 84 const DataLayout &DL = I->getModule()->getDataLayout(); 85 KnownZero = APInt(BitWidth, 0); 86 KnownOne = APInt(BitWidth, 0); 87 computeKnownBits(const_cast<Value *>(V1), KnownZero, KnownOne, DL, 0, 88 AC, UserI, DT); 89 90 if (V2) { 91 KnownZero2 = APInt(BitWidth, 0); 92 KnownOne2 = APInt(BitWidth, 0); 93 computeKnownBits(const_cast<Value *>(V2), KnownZero2, KnownOne2, DL, 94 0, AC, UserI, DT); 95 } 96 }; 97 98 switch (UserI->getOpcode()) { 99 default: break; 100 case Instruction::Call: 101 case Instruction::Invoke: 102 if (const IntrinsicInst *II = dyn_cast<IntrinsicInst>(UserI)) 103 switch (II->getIntrinsicID()) { 104 default: break; 105 case Intrinsic::bswap: 106 // The alive bits of the input are the swapped alive bits of 107 // the output. 108 AB = AOut.byteSwap(); 109 break; 110 case Intrinsic::ctlz: 111 if (OperandNo == 0) { 112 // We need some output bits, so we need all bits of the 113 // input to the left of, and including, the leftmost bit 114 // known to be one. 115 ComputeKnownBits(BitWidth, I, nullptr); 116 AB = APInt::getHighBitsSet(BitWidth, 117 std::min(BitWidth, KnownOne.countLeadingZeros()+1)); 118 } 119 break; 120 case Intrinsic::cttz: 121 if (OperandNo == 0) { 122 // We need some output bits, so we need all bits of the 123 // input to the right of, and including, the rightmost bit 124 // known to be one. 125 ComputeKnownBits(BitWidth, I, nullptr); 126 AB = APInt::getLowBitsSet(BitWidth, 127 std::min(BitWidth, KnownOne.countTrailingZeros()+1)); 128 } 129 break; 130 } 131 break; 132 case Instruction::Add: 133 case Instruction::Sub: 134 case Instruction::Mul: 135 // Find the highest live output bit. We don't need any more input 136 // bits than that (adds, and thus subtracts, ripple only to the 137 // left). 138 AB = APInt::getLowBitsSet(BitWidth, AOut.getActiveBits()); 139 break; 140 case Instruction::Shl: 141 if (OperandNo == 0) 142 if (ConstantInt *CI = 143 dyn_cast<ConstantInt>(UserI->getOperand(1))) { 144 uint64_t ShiftAmt = CI->getLimitedValue(BitWidth-1); 145 AB = AOut.lshr(ShiftAmt); 146 147 // If the shift is nuw/nsw, then the high bits are not dead 148 // (because we've promised that they *must* be zero). 149 const ShlOperator *S = cast<ShlOperator>(UserI); 150 if (S->hasNoSignedWrap()) 151 AB |= APInt::getHighBitsSet(BitWidth, ShiftAmt+1); 152 else if (S->hasNoUnsignedWrap()) 153 AB |= APInt::getHighBitsSet(BitWidth, ShiftAmt); 154 } 155 break; 156 case Instruction::LShr: 157 if (OperandNo == 0) 158 if (ConstantInt *CI = 159 dyn_cast<ConstantInt>(UserI->getOperand(1))) { 160 uint64_t ShiftAmt = CI->getLimitedValue(BitWidth-1); 161 AB = AOut.shl(ShiftAmt); 162 163 // If the shift is exact, then the low bits are not dead 164 // (they must be zero). 165 if (cast<LShrOperator>(UserI)->isExact()) 166 AB |= APInt::getLowBitsSet(BitWidth, ShiftAmt); 167 } 168 break; 169 case Instruction::AShr: 170 if (OperandNo == 0) 171 if (ConstantInt *CI = 172 dyn_cast<ConstantInt>(UserI->getOperand(1))) { 173 uint64_t ShiftAmt = CI->getLimitedValue(BitWidth-1); 174 AB = AOut.shl(ShiftAmt); 175 // Because the high input bit is replicated into the 176 // high-order bits of the result, if we need any of those 177 // bits, then we must keep the highest input bit. 178 if ((AOut & APInt::getHighBitsSet(BitWidth, ShiftAmt)) 179 .getBoolValue()) 180 AB.setBit(BitWidth-1); 181 182 // If the shift is exact, then the low bits are not dead 183 // (they must be zero). 184 if (cast<AShrOperator>(UserI)->isExact()) 185 AB |= APInt::getLowBitsSet(BitWidth, ShiftAmt); 186 } 187 break; 188 case Instruction::And: 189 AB = AOut; 190 191 // For bits that are known zero, the corresponding bits in the 192 // other operand are dead (unless they're both zero, in which 193 // case they can't both be dead, so just mark the LHS bits as 194 // dead). 195 if (OperandNo == 0) { 196 ComputeKnownBits(BitWidth, I, UserI->getOperand(1)); 197 AB &= ~KnownZero2; 198 } else { 199 if (!isa<Instruction>(UserI->getOperand(0))) 200 ComputeKnownBits(BitWidth, UserI->getOperand(0), I); 201 AB &= ~(KnownZero & ~KnownZero2); 202 } 203 break; 204 case Instruction::Or: 205 AB = AOut; 206 207 // For bits that are known one, the corresponding bits in the 208 // other operand are dead (unless they're both one, in which 209 // case they can't both be dead, so just mark the LHS bits as 210 // dead). 211 if (OperandNo == 0) { 212 ComputeKnownBits(BitWidth, I, UserI->getOperand(1)); 213 AB &= ~KnownOne2; 214 } else { 215 if (!isa<Instruction>(UserI->getOperand(0))) 216 ComputeKnownBits(BitWidth, UserI->getOperand(0), I); 217 AB &= ~(KnownOne & ~KnownOne2); 218 } 219 break; 220 case Instruction::Xor: 221 case Instruction::PHI: 222 AB = AOut; 223 break; 224 case Instruction::Trunc: 225 AB = AOut.zext(BitWidth); 226 break; 227 case Instruction::ZExt: 228 AB = AOut.trunc(BitWidth); 229 break; 230 case Instruction::SExt: 231 AB = AOut.trunc(BitWidth); 232 // Because the high input bit is replicated into the 233 // high-order bits of the result, if we need any of those 234 // bits, then we must keep the highest input bit. 235 if ((AOut & APInt::getHighBitsSet(AOut.getBitWidth(), 236 AOut.getBitWidth() - BitWidth)) 237 .getBoolValue()) 238 AB.setBit(BitWidth-1); 239 break; 240 case Instruction::Select: 241 if (OperandNo != 0) 242 AB = AOut; 243 break; 244 case Instruction::ICmp: 245 // Count the number of leading zeroes in each operand. 246 ComputeKnownBits(BitWidth, UserI->getOperand(0), UserI->getOperand(1)); 247 auto NumLeadingZeroes = std::min(KnownZero.countLeadingOnes(), 248 KnownZero2.countLeadingOnes()); 249 AB = ~APInt::getHighBitsSet(BitWidth, NumLeadingZeroes); 250 break; 251 } 252 } 253 254 bool DemandedBits::runOnFunction(Function& Fn) { 255 F = &Fn; 256 Analyzed = false; 257 return false; 258 } 259 260 void DemandedBits::performAnalysis() { 261 if (Analyzed) 262 // Analysis already completed for this function. 263 return; 264 Analyzed = true; 265 AC = &getAnalysis<AssumptionCacheTracker>().getAssumptionCache(*F); 266 DT = &getAnalysis<DominatorTreeWrapperPass>().getDomTree(); 267 268 Visited.clear(); 269 AliveBits.clear(); 270 271 SmallVector<Instruction*, 128> Worklist; 272 273 // Collect the set of "root" instructions that are known live. 274 for (Instruction &I : instructions(*F)) { 275 if (!isAlwaysLive(&I)) 276 continue; 277 278 DEBUG(dbgs() << "DemandedBits: Root: " << I << "\n"); 279 // For integer-valued instructions, set up an initial empty set of alive 280 // bits and add the instruction to the work list. For other instructions 281 // add their operands to the work list (for integer values operands, mark 282 // all bits as live). 283 if (IntegerType *IT = dyn_cast<IntegerType>(I.getType())) { 284 if (!AliveBits.count(&I)) { 285 AliveBits[&I] = APInt(IT->getBitWidth(), 0); 286 Worklist.push_back(&I); 287 } 288 289 continue; 290 } 291 292 // Non-integer-typed instructions... 293 for (Use &OI : I.operands()) { 294 if (Instruction *J = dyn_cast<Instruction>(OI)) { 295 if (IntegerType *IT = dyn_cast<IntegerType>(J->getType())) 296 AliveBits[J] = APInt::getAllOnesValue(IT->getBitWidth()); 297 Worklist.push_back(J); 298 } 299 } 300 // To save memory, we don't add I to the Visited set here. Instead, we 301 // check isAlwaysLive on every instruction when searching for dead 302 // instructions later (we need to check isAlwaysLive for the 303 // integer-typed instructions anyway). 304 } 305 306 // Propagate liveness backwards to operands. 307 while (!Worklist.empty()) { 308 Instruction *UserI = Worklist.pop_back_val(); 309 310 DEBUG(dbgs() << "DemandedBits: Visiting: " << *UserI); 311 APInt AOut; 312 if (UserI->getType()->isIntegerTy()) { 313 AOut = AliveBits[UserI]; 314 DEBUG(dbgs() << " Alive Out: " << AOut); 315 } 316 DEBUG(dbgs() << "\n"); 317 318 if (!UserI->getType()->isIntegerTy()) 319 Visited.insert(UserI); 320 321 APInt KnownZero, KnownOne, KnownZero2, KnownOne2; 322 // Compute the set of alive bits for each operand. These are anded into the 323 // existing set, if any, and if that changes the set of alive bits, the 324 // operand is added to the work-list. 325 for (Use &OI : UserI->operands()) { 326 if (Instruction *I = dyn_cast<Instruction>(OI)) { 327 if (IntegerType *IT = dyn_cast<IntegerType>(I->getType())) { 328 unsigned BitWidth = IT->getBitWidth(); 329 APInt AB = APInt::getAllOnesValue(BitWidth); 330 if (UserI->getType()->isIntegerTy() && !AOut && 331 !isAlwaysLive(UserI)) { 332 AB = APInt(BitWidth, 0); 333 } else { 334 // If all bits of the output are dead, then all bits of the input 335 // Bits of each operand that are used to compute alive bits of the 336 // output are alive, all others are dead. 337 determineLiveOperandBits(UserI, I, OI.getOperandNo(), AOut, AB, 338 KnownZero, KnownOne, 339 KnownZero2, KnownOne2); 340 } 341 342 // If we've added to the set of alive bits (or the operand has not 343 // been previously visited), then re-queue the operand to be visited 344 // again. 345 APInt ABPrev(BitWidth, 0); 346 auto ABI = AliveBits.find(I); 347 if (ABI != AliveBits.end()) 348 ABPrev = ABI->second; 349 350 APInt ABNew = AB | ABPrev; 351 if (ABNew != ABPrev || ABI == AliveBits.end()) { 352 AliveBits[I] = std::move(ABNew); 353 Worklist.push_back(I); 354 } 355 } else if (!Visited.count(I)) { 356 Worklist.push_back(I); 357 } 358 } 359 } 360 } 361 } 362 363 APInt DemandedBits::getDemandedBits(Instruction *I) { 364 performAnalysis(); 365 366 const DataLayout &DL = I->getParent()->getModule()->getDataLayout(); 367 if (AliveBits.count(I)) 368 return AliveBits[I]; 369 return APInt::getAllOnesValue(DL.getTypeSizeInBits(I->getType())); 370 } 371 372 bool DemandedBits::isInstructionDead(Instruction *I) { 373 performAnalysis(); 374 375 return !Visited.count(I) && AliveBits.find(I) == AliveBits.end() && 376 !isAlwaysLive(I); 377 } 378 379 void DemandedBits::print(raw_ostream &OS, const Module *M) const { 380 // This is gross. But the alternative is making all the state mutable 381 // just because of this one debugging method. 382 const_cast<DemandedBits*>(this)->performAnalysis(); 383 for (auto &KV : AliveBits) { 384 OS << "DemandedBits: 0x" << utohexstr(KV.second.getLimitedValue()) << " for " 385 << *KV.first << "\n"; 386 } 387 } 388 389 FunctionPass *llvm::createDemandedBitsPass() { 390 return new DemandedBits(); 391 } 392