//===- ValueTracking.cpp - Walk computations to compute properties --------===// // // The LLVM Compiler Infrastructure // // This file is distributed under the University of Illinois Open Source // License. See LICENSE.TXT for details. // //===----------------------------------------------------------------------===// // // This file contains routines that help analyze properties that chains of // computations have. // //===----------------------------------------------------------------------===// #include "llvm/Analysis/ValueTracking.h" #include "llvm/Analysis/InstructionSimplify.h" #include "llvm/Constants.h" #include "llvm/Instructions.h" #include "llvm/GlobalVariable.h" #include "llvm/GlobalAlias.h" #include "llvm/IntrinsicInst.h" #include "llvm/LLVMContext.h" #include "llvm/Operator.h" #include "llvm/Target/TargetData.h" #include "llvm/Support/GetElementPtrTypeIterator.h" #include "llvm/Support/MathExtras.h" #include "llvm/Support/PatternMatch.h" #include "llvm/ADT/SmallPtrSet.h" #include using namespace llvm; using namespace llvm::PatternMatch; const unsigned MaxDepth = 6; /// getBitWidth - Returns the bitwidth of the given scalar or pointer type (if /// unknown returns 0). For vector types, returns the element type's bitwidth. static unsigned getBitWidth(const Type *Ty, const TargetData *TD) { if (unsigned BitWidth = Ty->getScalarSizeInBits()) return BitWidth; assert(isa(Ty) && "Expected a pointer type!"); return TD ? TD->getPointerSizeInBits() : 0; } /// ComputeMaskedBits - Determine which of the bits specified in Mask are /// known to be either zero or one and return them in the KnownZero/KnownOne /// bit sets. This code only analyzes bits in Mask, in order to short-circuit /// processing. /// NOTE: we cannot consider 'undef' to be "IsZero" here. The problem is that /// we cannot optimize based on the assumption that it is zero without changing /// it to be an explicit zero. If we don't change it to zero, other code could /// optimized based on the contradictory assumption that it is non-zero. /// Because instcombine aggressively folds operations with undef args anyway, /// this won't lose us code quality. /// /// This function is defined on values with integer type, values with pointer /// type (but only if TD is non-null), and vectors of integers. In the case /// where V is a vector, the mask, known zero, and known one values are the /// same width as the vector element, and the bit is set only if it is true /// for all of the elements in the vector. void llvm::ComputeMaskedBits(Value *V, const APInt &Mask, APInt &KnownZero, APInt &KnownOne, const TargetData *TD, unsigned Depth) { assert(V && "No Value?"); assert(Depth <= MaxDepth && "Limit Search Depth"); unsigned BitWidth = Mask.getBitWidth(); assert((V->getType()->isIntOrIntVectorTy() || V->getType()->isPointerTy()) && "Not integer or pointer type!"); assert((!TD || TD->getTypeSizeInBits(V->getType()->getScalarType()) == BitWidth) && (!V->getType()->isIntOrIntVectorTy() || V->getType()->getScalarSizeInBits() == BitWidth) && KnownZero.getBitWidth() == BitWidth && KnownOne.getBitWidth() == BitWidth && "V, Mask, KnownOne and KnownZero should have same BitWidth"); if (ConstantInt *CI = dyn_cast(V)) { // We know all of the bits for a constant! KnownOne = CI->getValue() & Mask; KnownZero = ~KnownOne & Mask; return; } // Null and aggregate-zero are all-zeros. if (isa(V) || isa(V)) { KnownOne.clearAllBits(); KnownZero = Mask; return; } // Handle a constant vector by taking the intersection of the known bits of // each element. if (ConstantVector *CV = dyn_cast(V)) { KnownZero.setAllBits(); KnownOne.setAllBits(); for (unsigned i = 0, e = CV->getNumOperands(); i != e; ++i) { APInt KnownZero2(BitWidth, 0), KnownOne2(BitWidth, 0); ComputeMaskedBits(CV->getOperand(i), Mask, KnownZero2, KnownOne2, TD, Depth); KnownZero &= KnownZero2; KnownOne &= KnownOne2; } return; } // The address of an aligned GlobalValue has trailing zeros. if (GlobalValue *GV = dyn_cast(V)) { unsigned Align = GV->getAlignment(); if (Align == 0 && TD && GV->getType()->getElementType()->isSized()) { const Type *ObjectType = GV->getType()->getElementType(); // If the object is defined in the current Module, we'll be giving // it the preferred alignment. Otherwise, we have to assume that it // may only have the minimum ABI alignment. if (!GV->isDeclaration() && !GV->mayBeOverridden()) Align = TD->getPrefTypeAlignment(ObjectType); else Align = TD->getABITypeAlignment(ObjectType); } if (Align > 0) KnownZero = Mask & APInt::getLowBitsSet(BitWidth, CountTrailingZeros_32(Align)); else KnownZero.clearAllBits(); KnownOne.clearAllBits(); return; } // A weak GlobalAlias is totally unknown. A non-weak GlobalAlias has // the bits of its aliasee. if (GlobalAlias *GA = dyn_cast(V)) { if (GA->mayBeOverridden()) { KnownZero.clearAllBits(); KnownOne.clearAllBits(); } else { ComputeMaskedBits(GA->getAliasee(), Mask, KnownZero, KnownOne, TD, Depth+1); } return; } KnownZero.clearAllBits(); KnownOne.clearAllBits(); // Start out not knowing anything. if (Depth == MaxDepth || Mask == 0) return; // Limit search depth. Operator *I = dyn_cast(V); if (!I) return; APInt KnownZero2(KnownZero), KnownOne2(KnownOne); switch (I->getOpcode()) { default: break; case Instruction::And: { // If either the LHS or the RHS are Zero, the result is zero. ComputeMaskedBits(I->getOperand(1), Mask, KnownZero, KnownOne, TD, Depth+1); APInt Mask2(Mask & ~KnownZero); ComputeMaskedBits(I->getOperand(0), Mask2, KnownZero2, KnownOne2, TD, Depth+1); assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); assert((KnownZero2 & KnownOne2) == 0 && "Bits known to be one AND zero?"); // Output known-1 bits are only known if set in both the LHS & RHS. KnownOne &= KnownOne2; // Output known-0 are known to be clear if zero in either the LHS | RHS. KnownZero |= KnownZero2; return; } case Instruction::Or: { ComputeMaskedBits(I->getOperand(1), Mask, KnownZero, KnownOne, TD, Depth+1); APInt Mask2(Mask & ~KnownOne); ComputeMaskedBits(I->getOperand(0), Mask2, KnownZero2, KnownOne2, TD, Depth+1); assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); assert((KnownZero2 & KnownOne2) == 0 && "Bits known to be one AND zero?"); // Output known-0 bits are only known if clear in both the LHS & RHS. KnownZero &= KnownZero2; // Output known-1 are known to be set if set in either the LHS | RHS. KnownOne |= KnownOne2; return; } case Instruction::Xor: { ComputeMaskedBits(I->getOperand(1), Mask, KnownZero, KnownOne, TD, Depth+1); ComputeMaskedBits(I->getOperand(0), Mask, KnownZero2, KnownOne2, TD, Depth+1); assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); assert((KnownZero2 & KnownOne2) == 0 && "Bits known to be one AND zero?"); // Output known-0 bits are known if clear or set in both the LHS & RHS. APInt KnownZeroOut = (KnownZero & KnownZero2) | (KnownOne & KnownOne2); // Output known-1 are known to be set if set in only one of the LHS, RHS. KnownOne = (KnownZero & KnownOne2) | (KnownOne & KnownZero2); KnownZero = KnownZeroOut; return; } case Instruction::Mul: { APInt Mask2 = APInt::getAllOnesValue(BitWidth); ComputeMaskedBits(I->getOperand(1), Mask2, KnownZero, KnownOne, TD,Depth+1); ComputeMaskedBits(I->getOperand(0), Mask2, KnownZero2, KnownOne2, TD, Depth+1); assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); assert((KnownZero2 & KnownOne2) == 0 && "Bits known to be one AND zero?"); // If low bits are zero in either operand, output low known-0 bits. // Also compute a conserative estimate for high known-0 bits. // More trickiness is possible, but this is sufficient for the // interesting case of alignment computation. KnownOne.clearAllBits(); unsigned TrailZ = KnownZero.countTrailingOnes() + KnownZero2.countTrailingOnes(); unsigned LeadZ = std::max(KnownZero.countLeadingOnes() + KnownZero2.countLeadingOnes(), BitWidth) - BitWidth; TrailZ = std::min(TrailZ, BitWidth); LeadZ = std::min(LeadZ, BitWidth); KnownZero = APInt::getLowBitsSet(BitWidth, TrailZ) | APInt::getHighBitsSet(BitWidth, LeadZ); KnownZero &= Mask; return; } case Instruction::UDiv: { // For the purposes of computing leading zeros we can conservatively // treat a udiv as a logical right shift by the power of 2 known to // be less than the denominator. APInt AllOnes = APInt::getAllOnesValue(BitWidth); ComputeMaskedBits(I->getOperand(0), AllOnes, KnownZero2, KnownOne2, TD, Depth+1); unsigned LeadZ = KnownZero2.countLeadingOnes(); KnownOne2.clearAllBits(); KnownZero2.clearAllBits(); ComputeMaskedBits(I->getOperand(1), AllOnes, KnownZero2, KnownOne2, TD, Depth+1); unsigned RHSUnknownLeadingOnes = KnownOne2.countLeadingZeros(); if (RHSUnknownLeadingOnes != BitWidth) LeadZ = std::min(BitWidth, LeadZ + BitWidth - RHSUnknownLeadingOnes - 1); KnownZero = APInt::getHighBitsSet(BitWidth, LeadZ) & Mask; return; } case Instruction::Select: ComputeMaskedBits(I->getOperand(2), Mask, KnownZero, KnownOne, TD, Depth+1); ComputeMaskedBits(I->getOperand(1), Mask, KnownZero2, KnownOne2, TD, Depth+1); assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); assert((KnownZero2 & KnownOne2) == 0 && "Bits known to be one AND zero?"); // Only known if known in both the LHS and RHS. KnownOne &= KnownOne2; KnownZero &= KnownZero2; return; case Instruction::FPTrunc: case Instruction::FPExt: case Instruction::FPToUI: case Instruction::FPToSI: case Instruction::SIToFP: case Instruction::UIToFP: return; // Can't work with floating point. case Instruction::PtrToInt: case Instruction::IntToPtr: // We can't handle these if we don't know the pointer size. if (!TD) return; // FALL THROUGH and handle them the same as zext/trunc. case Instruction::ZExt: case Instruction::Trunc: { const Type *SrcTy = I->getOperand(0)->getType(); unsigned SrcBitWidth; // Note that we handle pointer operands here because of inttoptr/ptrtoint // which fall through here. if (SrcTy->isPointerTy()) SrcBitWidth = TD->getTypeSizeInBits(SrcTy); else SrcBitWidth = SrcTy->getScalarSizeInBits(); APInt MaskIn = Mask.zextOrTrunc(SrcBitWidth); KnownZero = KnownZero.zextOrTrunc(SrcBitWidth); KnownOne = KnownOne.zextOrTrunc(SrcBitWidth); ComputeMaskedBits(I->getOperand(0), MaskIn, KnownZero, KnownOne, TD, Depth+1); KnownZero = KnownZero.zextOrTrunc(BitWidth); KnownOne = KnownOne.zextOrTrunc(BitWidth); // Any top bits are known to be zero. if (BitWidth > SrcBitWidth) KnownZero |= APInt::getHighBitsSet(BitWidth, BitWidth - SrcBitWidth); return; } case Instruction::BitCast: { const Type *SrcTy = I->getOperand(0)->getType(); if ((SrcTy->isIntegerTy() || SrcTy->isPointerTy()) && // TODO: For now, not handling conversions like: // (bitcast i64 %x to <2 x i32>) !I->getType()->isVectorTy()) { ComputeMaskedBits(I->getOperand(0), Mask, KnownZero, KnownOne, TD, Depth+1); return; } break; } case Instruction::SExt: { // Compute the bits in the result that are not present in the input. unsigned SrcBitWidth = I->getOperand(0)->getType()->getScalarSizeInBits(); APInt MaskIn = Mask.trunc(SrcBitWidth); KnownZero = KnownZero.trunc(SrcBitWidth); KnownOne = KnownOne.trunc(SrcBitWidth); ComputeMaskedBits(I->getOperand(0), MaskIn, KnownZero, KnownOne, TD, Depth+1); assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); KnownZero = KnownZero.zext(BitWidth); KnownOne = KnownOne.zext(BitWidth); // If the sign bit of the input is known set or clear, then we know the // top bits of the result. if (KnownZero[SrcBitWidth-1]) // Input sign bit known zero KnownZero |= APInt::getHighBitsSet(BitWidth, BitWidth - SrcBitWidth); else if (KnownOne[SrcBitWidth-1]) // Input sign bit known set KnownOne |= APInt::getHighBitsSet(BitWidth, BitWidth - SrcBitWidth); return; } case Instruction::Shl: // (shl X, C1) & C2 == 0 iff (X & C2 >>u C1) == 0 if (ConstantInt *SA = dyn_cast(I->getOperand(1))) { uint64_t ShiftAmt = SA->getLimitedValue(BitWidth); APInt Mask2(Mask.lshr(ShiftAmt)); ComputeMaskedBits(I->getOperand(0), Mask2, KnownZero, KnownOne, TD, Depth+1); assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); KnownZero <<= ShiftAmt; KnownOne <<= ShiftAmt; KnownZero |= APInt::getLowBitsSet(BitWidth, ShiftAmt); // low bits known 0 return; } break; case Instruction::LShr: // (ushr X, C1) & C2 == 0 iff (-1 >> C1) & C2 == 0 if (ConstantInt *SA = dyn_cast(I->getOperand(1))) { // Compute the new bits that are at the top now. uint64_t ShiftAmt = SA->getLimitedValue(BitWidth); // Unsigned shift right. APInt Mask2(Mask.shl(ShiftAmt)); ComputeMaskedBits(I->getOperand(0), Mask2, KnownZero,KnownOne, TD, Depth+1); assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); KnownZero = APIntOps::lshr(KnownZero, ShiftAmt); KnownOne = APIntOps::lshr(KnownOne, ShiftAmt); // high bits known zero. KnownZero |= APInt::getHighBitsSet(BitWidth, ShiftAmt); return; } break; case Instruction::AShr: // (ashr X, C1) & C2 == 0 iff (-1 >> C1) & C2 == 0 if (ConstantInt *SA = dyn_cast(I->getOperand(1))) { // Compute the new bits that are at the top now. uint64_t ShiftAmt = SA->getLimitedValue(BitWidth-1); // Signed shift right. APInt Mask2(Mask.shl(ShiftAmt)); ComputeMaskedBits(I->getOperand(0), Mask2, KnownZero, KnownOne, TD, Depth+1); assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); KnownZero = APIntOps::lshr(KnownZero, ShiftAmt); KnownOne = APIntOps::lshr(KnownOne, ShiftAmt); APInt HighBits(APInt::getHighBitsSet(BitWidth, ShiftAmt)); if (KnownZero[BitWidth-ShiftAmt-1]) // New bits are known zero. KnownZero |= HighBits; else if (KnownOne[BitWidth-ShiftAmt-1]) // New bits are known one. KnownOne |= HighBits; return; } break; case Instruction::Sub: { if (ConstantInt *CLHS = dyn_cast(I->getOperand(0))) { // We know that the top bits of C-X are clear if X contains less bits // than C (i.e. no wrap-around can happen). For example, 20-X is // positive if we can prove that X is >= 0 and < 16. if (!CLHS->getValue().isNegative()) { unsigned NLZ = (CLHS->getValue()+1).countLeadingZeros(); // NLZ can't be BitWidth with no sign bit APInt MaskV = APInt::getHighBitsSet(BitWidth, NLZ+1); ComputeMaskedBits(I->getOperand(1), MaskV, KnownZero2, KnownOne2, TD, Depth+1); // If all of the MaskV bits are known to be zero, then we know the // output top bits are zero, because we now know that the output is // from [0-C]. if ((KnownZero2 & MaskV) == MaskV) { unsigned NLZ2 = CLHS->getValue().countLeadingZeros(); // Top bits known zero. KnownZero = APInt::getHighBitsSet(BitWidth, NLZ2) & Mask; } } } } // fall through case Instruction::Add: { // If one of the operands has trailing zeros, then the bits that the // other operand has in those bit positions will be preserved in the // result. For an add, this works with either operand. For a subtract, // this only works if the known zeros are in the right operand. APInt LHSKnownZero(BitWidth, 0), LHSKnownOne(BitWidth, 0); APInt Mask2 = APInt::getLowBitsSet(BitWidth, BitWidth - Mask.countLeadingZeros()); ComputeMaskedBits(I->getOperand(0), Mask2, LHSKnownZero, LHSKnownOne, TD, Depth+1); assert((LHSKnownZero & LHSKnownOne) == 0 && "Bits known to be one AND zero?"); unsigned LHSKnownZeroOut = LHSKnownZero.countTrailingOnes(); ComputeMaskedBits(I->getOperand(1), Mask2, KnownZero2, KnownOne2, TD, Depth+1); assert((KnownZero2 & KnownOne2) == 0 && "Bits known to be one AND zero?"); unsigned RHSKnownZeroOut = KnownZero2.countTrailingOnes(); // Determine which operand has more trailing zeros, and use that // many bits from the other operand. if (LHSKnownZeroOut > RHSKnownZeroOut) { if (I->getOpcode() == Instruction::Add) { APInt Mask = APInt::getLowBitsSet(BitWidth, LHSKnownZeroOut); KnownZero |= KnownZero2 & Mask; KnownOne |= KnownOne2 & Mask; } else { // If the known zeros are in the left operand for a subtract, // fall back to the minimum known zeros in both operands. KnownZero |= APInt::getLowBitsSet(BitWidth, std::min(LHSKnownZeroOut, RHSKnownZeroOut)); } } else if (RHSKnownZeroOut >= LHSKnownZeroOut) { APInt Mask = APInt::getLowBitsSet(BitWidth, RHSKnownZeroOut); KnownZero |= LHSKnownZero & Mask; KnownOne |= LHSKnownOne & Mask; } // Are we still trying to solve for the sign bit? if (Mask.isNegative() && !KnownZero.isNegative() && !KnownOne.isNegative()){ OverflowingBinaryOperator *OBO = cast(I); if (OBO->hasNoSignedWrap()) { if (I->getOpcode() == Instruction::Add) { // Adding two positive numbers can't wrap into negative if (LHSKnownZero.isNegative() && KnownZero2.isNegative()) KnownZero |= APInt::getSignBit(BitWidth); // and adding two negative numbers can't wrap into positive. else if (LHSKnownOne.isNegative() && KnownOne2.isNegative()) KnownOne |= APInt::getSignBit(BitWidth); } else { // Subtracting a negative number from a positive one can't wrap if (LHSKnownZero.isNegative() && KnownOne2.isNegative()) KnownZero |= APInt::getSignBit(BitWidth); // neither can subtracting a positive number from a negative one. else if (LHSKnownOne.isNegative() && KnownZero2.isNegative()) KnownOne |= APInt::getSignBit(BitWidth); } } } return; } case Instruction::SRem: if (ConstantInt *Rem = dyn_cast(I->getOperand(1))) { APInt RA = Rem->getValue().abs(); if (RA.isPowerOf2()) { APInt LowBits = RA - 1; APInt Mask2 = LowBits | APInt::getSignBit(BitWidth); ComputeMaskedBits(I->getOperand(0), Mask2, KnownZero2, KnownOne2, TD, Depth+1); // The low bits of the first operand are unchanged by the srem. KnownZero = KnownZero2 & LowBits; KnownOne = KnownOne2 & LowBits; // If the first operand is non-negative or has all low bits zero, then // the upper bits are all zero. if (KnownZero2[BitWidth-1] || ((KnownZero2 & LowBits) == LowBits)) KnownZero |= ~LowBits; // If the first operand is negative and not all low bits are zero, then // the upper bits are all one. if (KnownOne2[BitWidth-1] && ((KnownOne2 & LowBits) != 0)) KnownOne |= ~LowBits; KnownZero &= Mask; KnownOne &= Mask; assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); } } // The sign bit is the LHS's sign bit, except when the result of the // remainder is zero. if (Mask.isNegative() && KnownZero.isNonNegative()) { APInt Mask2 = APInt::getSignBit(BitWidth); APInt LHSKnownZero(BitWidth, 0), LHSKnownOne(BitWidth, 0); ComputeMaskedBits(I->getOperand(0), Mask2, LHSKnownZero, LHSKnownOne, TD, Depth+1); // If it's known zero, our sign bit is also zero. if (LHSKnownZero.isNegative()) KnownZero |= LHSKnownZero; } break; case Instruction::URem: { if (ConstantInt *Rem = dyn_cast(I->getOperand(1))) { APInt RA = Rem->getValue(); if (RA.isPowerOf2()) { APInt LowBits = (RA - 1); APInt Mask2 = LowBits & Mask; KnownZero |= ~LowBits & Mask; ComputeMaskedBits(I->getOperand(0), Mask2, KnownZero, KnownOne, TD, Depth+1); assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); break; } } // Since the result is less than or equal to either operand, any leading // zero bits in either operand must also exist in the result. APInt AllOnes = APInt::getAllOnesValue(BitWidth); ComputeMaskedBits(I->getOperand(0), AllOnes, KnownZero, KnownOne, TD, Depth+1); ComputeMaskedBits(I->getOperand(1), AllOnes, KnownZero2, KnownOne2, TD, Depth+1); unsigned Leaders = std::max(KnownZero.countLeadingOnes(), KnownZero2.countLeadingOnes()); KnownOne.clearAllBits(); KnownZero = APInt::getHighBitsSet(BitWidth, Leaders) & Mask; break; } case Instruction::Alloca: { AllocaInst *AI = cast(V); unsigned Align = AI->getAlignment(); if (Align == 0 && TD) Align = TD->getABITypeAlignment(AI->getType()->getElementType()); if (Align > 0) KnownZero = Mask & APInt::getLowBitsSet(BitWidth, CountTrailingZeros_32(Align)); break; } case Instruction::GetElementPtr: { // Analyze all of the subscripts of this getelementptr instruction // to determine if we can prove known low zero bits. APInt LocalMask = APInt::getAllOnesValue(BitWidth); APInt LocalKnownZero(BitWidth, 0), LocalKnownOne(BitWidth, 0); ComputeMaskedBits(I->getOperand(0), LocalMask, LocalKnownZero, LocalKnownOne, TD, Depth+1); unsigned TrailZ = LocalKnownZero.countTrailingOnes(); gep_type_iterator GTI = gep_type_begin(I); for (unsigned i = 1, e = I->getNumOperands(); i != e; ++i, ++GTI) { Value *Index = I->getOperand(i); if (const StructType *STy = dyn_cast(*GTI)) { // Handle struct member offset arithmetic. if (!TD) return; const StructLayout *SL = TD->getStructLayout(STy); unsigned Idx = cast(Index)->getZExtValue(); uint64_t Offset = SL->getElementOffset(Idx); TrailZ = std::min(TrailZ, CountTrailingZeros_64(Offset)); } else { // Handle array index arithmetic. const Type *IndexedTy = GTI.getIndexedType(); if (!IndexedTy->isSized()) return; unsigned GEPOpiBits = Index->getType()->getScalarSizeInBits(); uint64_t TypeSize = TD ? TD->getTypeAllocSize(IndexedTy) : 1; LocalMask = APInt::getAllOnesValue(GEPOpiBits); LocalKnownZero = LocalKnownOne = APInt(GEPOpiBits, 0); ComputeMaskedBits(Index, LocalMask, LocalKnownZero, LocalKnownOne, TD, Depth+1); TrailZ = std::min(TrailZ, unsigned(CountTrailingZeros_64(TypeSize) + LocalKnownZero.countTrailingOnes())); } } KnownZero = APInt::getLowBitsSet(BitWidth, TrailZ) & Mask; break; } case Instruction::PHI: { PHINode *P = cast(I); // Handle the case of a simple two-predecessor recurrence PHI. // There's a lot more that could theoretically be done here, but // this is sufficient to catch some interesting cases. if (P->getNumIncomingValues() == 2) { for (unsigned i = 0; i != 2; ++i) { Value *L = P->getIncomingValue(i); Value *R = P->getIncomingValue(!i); Operator *LU = dyn_cast(L); if (!LU) continue; unsigned Opcode = LU->getOpcode(); // Check for operations that have the property that if // both their operands have low zero bits, the result // will have low zero bits. if (Opcode == Instruction::Add || Opcode == Instruction::Sub || Opcode == Instruction::And || Opcode == Instruction::Or || Opcode == Instruction::Mul) { Value *LL = LU->getOperand(0); Value *LR = LU->getOperand(1); // Find a recurrence. if (LL == I) L = LR; else if (LR == I) L = LL; else break; // Ok, we have a PHI of the form L op= R. Check for low // zero bits. APInt Mask2 = APInt::getAllOnesValue(BitWidth); ComputeMaskedBits(R, Mask2, KnownZero2, KnownOne2, TD, Depth+1); Mask2 = APInt::getLowBitsSet(BitWidth, KnownZero2.countTrailingOnes()); // We need to take the minimum number of known bits APInt KnownZero3(KnownZero), KnownOne3(KnownOne); ComputeMaskedBits(L, Mask2, KnownZero3, KnownOne3, TD, Depth+1); KnownZero = Mask & APInt::getLowBitsSet(BitWidth, std::min(KnownZero2.countTrailingOnes(), KnownZero3.countTrailingOnes())); break; } } } // Unreachable blocks may have zero-operand PHI nodes. if (P->getNumIncomingValues() == 0) return; // Otherwise take the unions of the known bit sets of the operands, // taking conservative care to avoid excessive recursion. if (Depth < MaxDepth - 1 && !KnownZero && !KnownOne) { // Skip if every incoming value references to ourself. if (P->hasConstantValue() == P) break; KnownZero = APInt::getAllOnesValue(BitWidth); KnownOne = APInt::getAllOnesValue(BitWidth); for (unsigned i = 0, e = P->getNumIncomingValues(); i != e; ++i) { // Skip direct self references. if (P->getIncomingValue(i) == P) continue; KnownZero2 = APInt(BitWidth, 0); KnownOne2 = APInt(BitWidth, 0); // Recurse, but cap the recursion to one level, because we don't // want to waste time spinning around in loops. ComputeMaskedBits(P->getIncomingValue(i), KnownZero | KnownOne, KnownZero2, KnownOne2, TD, MaxDepth-1); KnownZero &= KnownZero2; KnownOne &= KnownOne2; // If all bits have been ruled out, there's no need to check // more operands. if (!KnownZero && !KnownOne) break; } } break; } case Instruction::Call: if (IntrinsicInst *II = dyn_cast(I)) { switch (II->getIntrinsicID()) { default: break; case Intrinsic::ctpop: case Intrinsic::ctlz: case Intrinsic::cttz: { unsigned LowBits = Log2_32(BitWidth)+1; KnownZero = APInt::getHighBitsSet(BitWidth, BitWidth - LowBits); break; } } } break; } } /// ComputeSignBit - Determine whether the sign bit is known to be zero or /// one. Convenience wrapper around ComputeMaskedBits. void llvm::ComputeSignBit(Value *V, bool &KnownZero, bool &KnownOne, const TargetData *TD, unsigned Depth) { unsigned BitWidth = getBitWidth(V->getType(), TD); if (!BitWidth) { KnownZero = false; KnownOne = false; return; } APInt ZeroBits(BitWidth, 0); APInt OneBits(BitWidth, 0); ComputeMaskedBits(V, APInt::getSignBit(BitWidth), ZeroBits, OneBits, TD, Depth); KnownOne = OneBits[BitWidth - 1]; KnownZero = ZeroBits[BitWidth - 1]; } /// isPowerOfTwo - Return true if the given value is known to have exactly one /// bit set when defined. For vectors return true if every element is known to /// be a power of two when defined. Supports values with integer or pointer /// types and vectors of integers. bool llvm::isPowerOfTwo(Value *V, const TargetData *TD, unsigned Depth) { if (ConstantInt *CI = dyn_cast(V)) return CI->getValue().isPowerOf2(); // TODO: Handle vector constants. // 1 << X is clearly a power of two if the one is not shifted off the end. If // it is shifted off the end then the result is undefined. if (match(V, m_Shl(m_One(), m_Value()))) return true; // (signbit) >>l X is clearly a power of two if the one is not shifted off the // bottom. If it is shifted off the bottom then the result is undefined. if (match(V, m_LShr(m_SignBit(), m_Value()))) return true; // The remaining tests are all recursive, so bail out if we hit the limit. if (Depth++ == MaxDepth) return false; if (ZExtInst *ZI = dyn_cast(V)) return isPowerOfTwo(ZI->getOperand(0), TD, Depth); if (SelectInst *SI = dyn_cast(V)) return isPowerOfTwo(SI->getTrueValue(), TD, Depth) && isPowerOfTwo(SI->getFalseValue(), TD, Depth); // An exact divide or right shift can only shift off zero bits, so the result // is a power of two only if the first operand is a power of two and not // copying a sign bit (sdiv int_min, 2). if (match(V, m_LShr(m_Value(), m_Value())) || match(V, m_UDiv(m_Value(), m_Value()))) { BinaryOperator *BO = cast(V); if (BO->isExact()) return isPowerOfTwo(BO->getOperand(0), TD, Depth); } return false; } /// isKnownNonZero - Return true if the given value is known to be non-zero /// when defined. For vectors return true if every element is known to be /// non-zero when defined. Supports values with integer or pointer type and /// vectors of integers. bool llvm::isKnownNonZero(Value *V, const TargetData *TD, unsigned Depth) { if (Constant *C = dyn_cast(V)) { if (C->isNullValue()) return false; if (isa(C)) // Must be non-zero due to null test above. return true; // TODO: Handle vectors return false; } // The remaining tests are all recursive, so bail out if we hit the limit. if (Depth++ == MaxDepth) return false; unsigned BitWidth = getBitWidth(V->getType(), TD); // X | Y != 0 if X != 0 or Y != 0. Value *X = 0, *Y = 0; if (match(V, m_Or(m_Value(X), m_Value(Y)))) return isKnownNonZero(X, TD, Depth) || isKnownNonZero(Y, TD, Depth); // ext X != 0 if X != 0. if (isa(V) || isa(V)) return isKnownNonZero(cast(V)->getOperand(0), TD, Depth); // shl X, Y != 0 if X is odd. Note that the value of the shift is undefined // if the lowest bit is shifted off the end. if (BitWidth && match(V, m_Shl(m_Value(X), m_Value(Y)))) { // shl nuw can't remove any non-zero bits. BinaryOperator *BO = cast(V); if (BO->hasNoUnsignedWrap()) return isKnownNonZero(X, TD, Depth); APInt KnownZero(BitWidth, 0); APInt KnownOne(BitWidth, 0); ComputeMaskedBits(X, APInt(BitWidth, 1), KnownZero, KnownOne, TD, Depth); if (KnownOne[0]) return true; } // shr X, Y != 0 if X is negative. Note that the value of the shift is not // defined if the sign bit is shifted off the end. else if (match(V, m_Shr(m_Value(X), m_Value(Y)))) { // shr exact can only shift out zero bits. BinaryOperator *BO = cast(V); if (BO->isExact()) return isKnownNonZero(X, TD, Depth); bool XKnownNonNegative, XKnownNegative; ComputeSignBit(X, XKnownNonNegative, XKnownNegative, TD, Depth); if (XKnownNegative) return true; } // div exact can only produce a zero if the dividend is zero. else if (match(V, m_IDiv(m_Value(X), m_Value()))) { BinaryOperator *BO = cast(V); if (BO->isExact()) return isKnownNonZero(X, TD, Depth); } // X + Y. else if (match(V, m_Add(m_Value(X), m_Value(Y)))) { bool XKnownNonNegative, XKnownNegative; bool YKnownNonNegative, YKnownNegative; ComputeSignBit(X, XKnownNonNegative, XKnownNegative, TD, Depth); ComputeSignBit(Y, YKnownNonNegative, YKnownNegative, TD, Depth); // If X and Y are both non-negative (as signed values) then their sum is not // zero unless both X and Y are zero. if (XKnownNonNegative && YKnownNonNegative) if (isKnownNonZero(X, TD, Depth) || isKnownNonZero(Y, TD, Depth)) return true; // If X and Y are both negative (as signed values) then their sum is not // zero unless both X and Y equal INT_MIN. if (BitWidth && XKnownNegative && YKnownNegative) { APInt KnownZero(BitWidth, 0); APInt KnownOne(BitWidth, 0); APInt Mask = APInt::getSignedMaxValue(BitWidth); // The sign bit of X is set. If some other bit is set then X is not equal // to INT_MIN. ComputeMaskedBits(X, Mask, KnownZero, KnownOne, TD, Depth); if ((KnownOne & Mask) != 0) return true; // The sign bit of Y is set. If some other bit is set then Y is not equal // to INT_MIN. ComputeMaskedBits(Y, Mask, KnownZero, KnownOne, TD, Depth); if ((KnownOne & Mask) != 0) return true; } // The sum of a non-negative number and a power of two is not zero. if (XKnownNonNegative && isPowerOfTwo(Y, TD, Depth)) return true; if (YKnownNonNegative && isPowerOfTwo(X, TD, Depth)) return true; } // (C ? X : Y) != 0 if X != 0 and Y != 0. else if (SelectInst *SI = dyn_cast(V)) { if (isKnownNonZero(SI->getTrueValue(), TD, Depth) && isKnownNonZero(SI->getFalseValue(), TD, Depth)) return true; } if (!BitWidth) return false; APInt KnownZero(BitWidth, 0); APInt KnownOne(BitWidth, 0); ComputeMaskedBits(V, APInt::getAllOnesValue(BitWidth), KnownZero, KnownOne, TD, Depth); return KnownOne != 0; } /// MaskedValueIsZero - Return true if 'V & Mask' is known to be zero. We use /// this predicate to simplify operations downstream. Mask is known to be zero /// for bits that V cannot have. /// /// This function is defined on values with integer type, values with pointer /// type (but only if TD is non-null), and vectors of integers. In the case /// where V is a vector, the mask, known zero, and known one values are the /// same width as the vector element, and the bit is set only if it is true /// for all of the elements in the vector. bool llvm::MaskedValueIsZero(Value *V, const APInt &Mask, const TargetData *TD, unsigned Depth) { APInt KnownZero(Mask.getBitWidth(), 0), KnownOne(Mask.getBitWidth(), 0); ComputeMaskedBits(V, Mask, KnownZero, KnownOne, TD, Depth); assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); return (KnownZero & Mask) == Mask; } /// ComputeNumSignBits - Return the number of times the sign bit of the /// register is replicated into the other bits. We know that at least 1 bit /// is always equal to the sign bit (itself), but other cases can give us /// information. For example, immediately after an "ashr X, 2", we know that /// the top 3 bits are all equal to each other, so we return 3. /// /// 'Op' must have a scalar integer type. /// unsigned llvm::ComputeNumSignBits(Value *V, const TargetData *TD, unsigned Depth) { assert((TD || V->getType()->isIntOrIntVectorTy()) && "ComputeNumSignBits requires a TargetData object to operate " "on non-integer values!"); const Type *Ty = V->getType(); unsigned TyBits = TD ? TD->getTypeSizeInBits(V->getType()->getScalarType()) : Ty->getScalarSizeInBits(); unsigned Tmp, Tmp2; unsigned FirstAnswer = 1; // Note that ConstantInt is handled by the general ComputeMaskedBits case // below. if (Depth == 6) return 1; // Limit search depth. Operator *U = dyn_cast(V); switch (Operator::getOpcode(V)) { default: break; case Instruction::SExt: Tmp = TyBits - U->getOperand(0)->getType()->getScalarSizeInBits(); return ComputeNumSignBits(U->getOperand(0), TD, Depth+1) + Tmp; case Instruction::AShr: Tmp = ComputeNumSignBits(U->getOperand(0), TD, Depth+1); // ashr X, C -> adds C sign bits. if (ConstantInt *C = dyn_cast(U->getOperand(1))) { Tmp += C->getZExtValue(); if (Tmp > TyBits) Tmp = TyBits; } // vector ashr X, -> adds C sign bits if (ConstantVector *C = dyn_cast(U->getOperand(1))) { if (ConstantInt *CI = dyn_cast_or_null(C->getSplatValue())) { Tmp += CI->getZExtValue(); if (Tmp > TyBits) Tmp = TyBits; } } return Tmp; case Instruction::Shl: if (ConstantInt *C = dyn_cast(U->getOperand(1))) { // shl destroys sign bits. Tmp = ComputeNumSignBits(U->getOperand(0), TD, Depth+1); if (C->getZExtValue() >= TyBits || // Bad shift. C->getZExtValue() >= Tmp) break; // Shifted all sign bits out. return Tmp - C->getZExtValue(); } break; case Instruction::And: case Instruction::Or: case Instruction::Xor: // NOT is handled here. // Logical binary ops preserve the number of sign bits at the worst. Tmp = ComputeNumSignBits(U->getOperand(0), TD, Depth+1); if (Tmp != 1) { Tmp2 = ComputeNumSignBits(U->getOperand(1), TD, Depth+1); FirstAnswer = std::min(Tmp, Tmp2); // We computed what we know about the sign bits as our first // answer. Now proceed to the generic code that uses // ComputeMaskedBits, and pick whichever answer is better. } break; case Instruction::Select: Tmp = ComputeNumSignBits(U->getOperand(1), TD, Depth+1); if (Tmp == 1) return 1; // Early out. Tmp2 = ComputeNumSignBits(U->getOperand(2), TD, Depth+1); return std::min(Tmp, Tmp2); case Instruction::Add: // Add can have at most one carry bit. Thus we know that the output // is, at worst, one more bit than the inputs. Tmp = ComputeNumSignBits(U->getOperand(0), TD, Depth+1); if (Tmp == 1) return 1; // Early out. // Special case decrementing a value (ADD X, -1): if (ConstantInt *CRHS = dyn_cast(U->getOperand(1))) if (CRHS->isAllOnesValue()) { APInt KnownZero(TyBits, 0), KnownOne(TyBits, 0); APInt Mask = APInt::getAllOnesValue(TyBits); ComputeMaskedBits(U->getOperand(0), Mask, KnownZero, KnownOne, TD, Depth+1); // If the input is known to be 0 or 1, the output is 0/-1, which is all // sign bits set. if ((KnownZero | APInt(TyBits, 1)) == Mask) return TyBits; // If we are subtracting one from a positive number, there is no carry // out of the result. if (KnownZero.isNegative()) return Tmp; } Tmp2 = ComputeNumSignBits(U->getOperand(1), TD, Depth+1); if (Tmp2 == 1) return 1; return std::min(Tmp, Tmp2)-1; case Instruction::Sub: Tmp2 = ComputeNumSignBits(U->getOperand(1), TD, Depth+1); if (Tmp2 == 1) return 1; // Handle NEG. if (ConstantInt *CLHS = dyn_cast(U->getOperand(0))) if (CLHS->isNullValue()) { APInt KnownZero(TyBits, 0), KnownOne(TyBits, 0); APInt Mask = APInt::getAllOnesValue(TyBits); ComputeMaskedBits(U->getOperand(1), Mask, KnownZero, KnownOne, TD, Depth+1); // If the input is known to be 0 or 1, the output is 0/-1, which is all // sign bits set. if ((KnownZero | APInt(TyBits, 1)) == Mask) return TyBits; // If the input is known to be positive (the sign bit is known clear), // the output of the NEG has the same number of sign bits as the input. if (KnownZero.isNegative()) return Tmp2; // Otherwise, we treat this like a SUB. } // Sub can have at most one carry bit. Thus we know that the output // is, at worst, one more bit than the inputs. Tmp = ComputeNumSignBits(U->getOperand(0), TD, Depth+1); if (Tmp == 1) return 1; // Early out. return std::min(Tmp, Tmp2)-1; case Instruction::PHI: { PHINode *PN = cast(U); // Don't analyze large in-degree PHIs. if (PN->getNumIncomingValues() > 4) break; // Take the minimum of all incoming values. This can't infinitely loop // because of our depth threshold. Tmp = ComputeNumSignBits(PN->getIncomingValue(0), TD, Depth+1); for (unsigned i = 1, e = PN->getNumIncomingValues(); i != e; ++i) { if (Tmp == 1) return Tmp; Tmp = std::min(Tmp, ComputeNumSignBits(PN->getIncomingValue(i), TD, Depth+1)); } return Tmp; } case Instruction::Trunc: // FIXME: it's tricky to do anything useful for this, but it is an important // case for targets like X86. break; } // Finally, if we can prove that the top bits of the result are 0's or 1's, // use this information. APInt KnownZero(TyBits, 0), KnownOne(TyBits, 0); APInt Mask = APInt::getAllOnesValue(TyBits); ComputeMaskedBits(V, Mask, KnownZero, KnownOne, TD, Depth); if (KnownZero.isNegative()) { // sign bit is 0 Mask = KnownZero; } else if (KnownOne.isNegative()) { // sign bit is 1; Mask = KnownOne; } else { // Nothing known. return FirstAnswer; } // Okay, we know that the sign bit in Mask is set. Use CLZ to determine // the number of identical bits in the top of the input value. Mask = ~Mask; Mask <<= Mask.getBitWidth()-TyBits; // Return # leading zeros. We use 'min' here in case Val was zero before // shifting. We don't want to return '64' as for an i32 "0". return std::max(FirstAnswer, std::min(TyBits, Mask.countLeadingZeros())); } /// ComputeMultiple - This function computes the integer multiple of Base that /// equals V. If successful, it returns true and returns the multiple in /// Multiple. If unsuccessful, it returns false. It looks /// through SExt instructions only if LookThroughSExt is true. bool llvm::ComputeMultiple(Value *V, unsigned Base, Value *&Multiple, bool LookThroughSExt, unsigned Depth) { const unsigned MaxDepth = 6; assert(V && "No Value?"); assert(Depth <= MaxDepth && "Limit Search Depth"); assert(V->getType()->isIntegerTy() && "Not integer or pointer type!"); const Type *T = V->getType(); ConstantInt *CI = dyn_cast(V); if (Base == 0) return false; if (Base == 1) { Multiple = V; return true; } ConstantExpr *CO = dyn_cast(V); Constant *BaseVal = ConstantInt::get(T, Base); if (CO && CO == BaseVal) { // Multiple is 1. Multiple = ConstantInt::get(T, 1); return true; } if (CI && CI->getZExtValue() % Base == 0) { Multiple = ConstantInt::get(T, CI->getZExtValue() / Base); return true; } if (Depth == MaxDepth) return false; // Limit search depth. Operator *I = dyn_cast(V); if (!I) return false; switch (I->getOpcode()) { default: break; case Instruction::SExt: if (!LookThroughSExt) return false; // otherwise fall through to ZExt case Instruction::ZExt: return ComputeMultiple(I->getOperand(0), Base, Multiple, LookThroughSExt, Depth+1); case Instruction::Shl: case Instruction::Mul: { Value *Op0 = I->getOperand(0); Value *Op1 = I->getOperand(1); if (I->getOpcode() == Instruction::Shl) { ConstantInt *Op1CI = dyn_cast(Op1); if (!Op1CI) return false; // Turn Op0 << Op1 into Op0 * 2^Op1 APInt Op1Int = Op1CI->getValue(); uint64_t BitToSet = Op1Int.getLimitedValue(Op1Int.getBitWidth() - 1); APInt API(Op1Int.getBitWidth(), 0); API.setBit(BitToSet); Op1 = ConstantInt::get(V->getContext(), API); } Value *Mul0 = NULL; if (ComputeMultiple(Op0, Base, Mul0, LookThroughSExt, Depth+1)) { if (Constant *Op1C = dyn_cast(Op1)) if (Constant *MulC = dyn_cast(Mul0)) { if (Op1C->getType()->getPrimitiveSizeInBits() < MulC->getType()->getPrimitiveSizeInBits()) Op1C = ConstantExpr::getZExt(Op1C, MulC->getType()); if (Op1C->getType()->getPrimitiveSizeInBits() > MulC->getType()->getPrimitiveSizeInBits()) MulC = ConstantExpr::getZExt(MulC, Op1C->getType()); // V == Base * (Mul0 * Op1), so return (Mul0 * Op1) Multiple = ConstantExpr::getMul(MulC, Op1C); return true; } if (ConstantInt *Mul0CI = dyn_cast(Mul0)) if (Mul0CI->getValue() == 1) { // V == Base * Op1, so return Op1 Multiple = Op1; return true; } } Value *Mul1 = NULL; if (ComputeMultiple(Op1, Base, Mul1, LookThroughSExt, Depth+1)) { if (Constant *Op0C = dyn_cast(Op0)) if (Constant *MulC = dyn_cast(Mul1)) { if (Op0C->getType()->getPrimitiveSizeInBits() < MulC->getType()->getPrimitiveSizeInBits()) Op0C = ConstantExpr::getZExt(Op0C, MulC->getType()); if (Op0C->getType()->getPrimitiveSizeInBits() > MulC->getType()->getPrimitiveSizeInBits()) MulC = ConstantExpr::getZExt(MulC, Op0C->getType()); // V == Base * (Mul1 * Op0), so return (Mul1 * Op0) Multiple = ConstantExpr::getMul(MulC, Op0C); return true; } if (ConstantInt *Mul1CI = dyn_cast(Mul1)) if (Mul1CI->getValue() == 1) { // V == Base * Op0, so return Op0 Multiple = Op0; return true; } } } } // We could not determine if V is a multiple of Base. return false; } /// CannotBeNegativeZero - Return true if we can prove that the specified FP /// value is never equal to -0.0. /// /// NOTE: this function will need to be revisited when we support non-default /// rounding modes! /// bool llvm::CannotBeNegativeZero(const Value *V, unsigned Depth) { if (const ConstantFP *CFP = dyn_cast(V)) return !CFP->getValueAPF().isNegZero(); if (Depth == 6) return 1; // Limit search depth. const Operator *I = dyn_cast(V); if (I == 0) return false; // (add x, 0.0) is guaranteed to return +0.0, not -0.0. if (I->getOpcode() == Instruction::FAdd && isa(I->getOperand(1)) && cast(I->getOperand(1))->isNullValue()) return true; // sitofp and uitofp turn into +0.0 for zero. if (isa(I) || isa(I)) return true; if (const IntrinsicInst *II = dyn_cast(I)) // sqrt(-0.0) = -0.0, no other negative results are possible. if (II->getIntrinsicID() == Intrinsic::sqrt) return CannotBeNegativeZero(II->getArgOperand(0), Depth+1); if (const CallInst *CI = dyn_cast(I)) if (const Function *F = CI->getCalledFunction()) { if (F->isDeclaration()) { // abs(x) != -0.0 if (F->getName() == "abs") return true; // fabs[lf](x) != -0.0 if (F->getName() == "fabs") return true; if (F->getName() == "fabsf") return true; if (F->getName() == "fabsl") return true; if (F->getName() == "sqrt" || F->getName() == "sqrtf" || F->getName() == "sqrtl") return CannotBeNegativeZero(CI->getArgOperand(0), Depth+1); } } return false; } /// isBytewiseValue - If the specified value can be set by repeating the same /// byte in memory, return the i8 value that it is represented with. This is /// true for all i8 values obviously, but is also true for i32 0, i32 -1, /// i16 0xF0F0, double 0.0 etc. If the value can't be handled with a repeated /// byte store (e.g. i16 0x1234), return null. Value *llvm::isBytewiseValue(Value *V) { // All byte-wide stores are splatable, even of arbitrary variables. if (V->getType()->isIntegerTy(8)) return V; // Handle 'null' ConstantArrayZero etc. if (Constant *C = dyn_cast(V)) if (C->isNullValue()) return Constant::getNullValue(Type::getInt8Ty(V->getContext())); // Constant float and double values can be handled as integer values if the // corresponding integer value is "byteable". An important case is 0.0. if (ConstantFP *CFP = dyn_cast(V)) { if (CFP->getType()->isFloatTy()) V = ConstantExpr::getBitCast(CFP, Type::getInt32Ty(V->getContext())); if (CFP->getType()->isDoubleTy()) V = ConstantExpr::getBitCast(CFP, Type::getInt64Ty(V->getContext())); // Don't handle long double formats, which have strange constraints. } // We can handle constant integers that are power of two in size and a // multiple of 8 bits. if (ConstantInt *CI = dyn_cast(V)) { unsigned Width = CI->getBitWidth(); if (isPowerOf2_32(Width) && Width > 8) { // We can handle this value if the recursive binary decomposition is the // same at all levels. APInt Val = CI->getValue(); APInt Val2; while (Val.getBitWidth() != 8) { unsigned NextWidth = Val.getBitWidth()/2; Val2 = Val.lshr(NextWidth); Val2 = Val2.trunc(Val.getBitWidth()/2); Val = Val.trunc(Val.getBitWidth()/2); // If the top/bottom halves aren't the same, reject it. if (Val != Val2) return 0; } return ConstantInt::get(V->getContext(), Val); } } // A ConstantArray is splatable if all its members are equal and also // splatable. if (ConstantArray *CA = dyn_cast(V)) { if (CA->getNumOperands() == 0) return 0; Value *Val = isBytewiseValue(CA->getOperand(0)); if (!Val) return 0; for (unsigned I = 1, E = CA->getNumOperands(); I != E; ++I) if (CA->getOperand(I-1) != CA->getOperand(I)) return 0; return Val; } // Conceptually, we could handle things like: // %a = zext i8 %X to i16 // %b = shl i16 %a, 8 // %c = or i16 %a, %b // but until there is an example that actually needs this, it doesn't seem // worth worrying about. return 0; } // This is the recursive version of BuildSubAggregate. It takes a few different // arguments. Idxs is the index within the nested struct From that we are // looking at now (which is of type IndexedType). IdxSkip is the number of // indices from Idxs that should be left out when inserting into the resulting // struct. To is the result struct built so far, new insertvalue instructions // build on that. static Value *BuildSubAggregate(Value *From, Value* To, const Type *IndexedType, SmallVector &Idxs, unsigned IdxSkip, Instruction *InsertBefore) { const llvm::StructType *STy = llvm::dyn_cast(IndexedType); if (STy) { // Save the original To argument so we can modify it Value *OrigTo = To; // General case, the type indexed by Idxs is a struct for (unsigned i = 0, e = STy->getNumElements(); i != e; ++i) { // Process each struct element recursively Idxs.push_back(i); Value *PrevTo = To; To = BuildSubAggregate(From, To, STy->getElementType(i), Idxs, IdxSkip, InsertBefore); Idxs.pop_back(); if (!To) { // Couldn't find any inserted value for this index? Cleanup while (PrevTo != OrigTo) { InsertValueInst* Del = cast(PrevTo); PrevTo = Del->getAggregateOperand(); Del->eraseFromParent(); } // Stop processing elements break; } } // If we succesfully found a value for each of our subaggregates if (To) return To; } // Base case, the type indexed by SourceIdxs is not a struct, or not all of // the struct's elements had a value that was inserted directly. In the latter // case, perhaps we can't determine each of the subelements individually, but // we might be able to find the complete struct somewhere. // Find the value that is at that particular spot Value *V = FindInsertedValue(From, Idxs.begin(), Idxs.end()); if (!V) return NULL; // Insert the value in the new (sub) aggregrate return llvm::InsertValueInst::Create(To, V, Idxs.begin() + IdxSkip, Idxs.end(), "tmp", InsertBefore); } // This helper takes a nested struct and extracts a part of it (which is again a // struct) into a new value. For example, given the struct: // { a, { b, { c, d }, e } } // and the indices "1, 1" this returns // { c, d }. // // It does this by inserting an insertvalue for each element in the resulting // struct, as opposed to just inserting a single struct. This will only work if // each of the elements of the substruct are known (ie, inserted into From by an // insertvalue instruction somewhere). // // All inserted insertvalue instructions are inserted before InsertBefore static Value *BuildSubAggregate(Value *From, const unsigned *idx_begin, const unsigned *idx_end, Instruction *InsertBefore) { assert(InsertBefore && "Must have someplace to insert!"); const Type *IndexedType = ExtractValueInst::getIndexedType(From->getType(), idx_begin, idx_end); Value *To = UndefValue::get(IndexedType); SmallVector Idxs(idx_begin, idx_end); unsigned IdxSkip = Idxs.size(); return BuildSubAggregate(From, To, IndexedType, Idxs, IdxSkip, InsertBefore); } /// FindInsertedValue - Given an aggregrate and an sequence of indices, see if /// the scalar value indexed is already around as a register, for example if it /// were inserted directly into the aggregrate. /// /// If InsertBefore is not null, this function will duplicate (modified) /// insertvalues when a part of a nested struct is extracted. Value *llvm::FindInsertedValue(Value *V, const unsigned *idx_begin, const unsigned *idx_end, Instruction *InsertBefore) { // Nothing to index? Just return V then (this is useful at the end of our // recursion) if (idx_begin == idx_end) return V; // We have indices, so V should have an indexable type assert((V->getType()->isStructTy() || V->getType()->isArrayTy()) && "Not looking at a struct or array?"); assert(ExtractValueInst::getIndexedType(V->getType(), idx_begin, idx_end) && "Invalid indices for type?"); const CompositeType *PTy = cast(V->getType()); if (isa(V)) return UndefValue::get(ExtractValueInst::getIndexedType(PTy, idx_begin, idx_end)); else if (isa(V)) return Constant::getNullValue(ExtractValueInst::getIndexedType(PTy, idx_begin, idx_end)); else if (Constant *C = dyn_cast(V)) { if (isa(C) || isa(C)) // Recursively process this constant return FindInsertedValue(C->getOperand(*idx_begin), idx_begin + 1, idx_end, InsertBefore); } else if (InsertValueInst *I = dyn_cast(V)) { // Loop the indices for the insertvalue instruction in parallel with the // requested indices const unsigned *req_idx = idx_begin; for (const unsigned *i = I->idx_begin(), *e = I->idx_end(); i != e; ++i, ++req_idx) { if (req_idx == idx_end) { if (InsertBefore) // The requested index identifies a part of a nested aggregate. Handle // this specially. For example, // %A = insertvalue { i32, {i32, i32 } } undef, i32 10, 1, 0 // %B = insertvalue { i32, {i32, i32 } } %A, i32 11, 1, 1 // %C = extractvalue {i32, { i32, i32 } } %B, 1 // This can be changed into // %A = insertvalue {i32, i32 } undef, i32 10, 0 // %C = insertvalue {i32, i32 } %A, i32 11, 1 // which allows the unused 0,0 element from the nested struct to be // removed. return BuildSubAggregate(V, idx_begin, req_idx, InsertBefore); else // We can't handle this without inserting insertvalues return 0; } // This insert value inserts something else than what we are looking for. // See if the (aggregrate) value inserted into has the value we are // looking for, then. if (*req_idx != *i) return FindInsertedValue(I->getAggregateOperand(), idx_begin, idx_end, InsertBefore); } // If we end up here, the indices of the insertvalue match with those // requested (though possibly only partially). Now we recursively look at // the inserted value, passing any remaining indices. return FindInsertedValue(I->getInsertedValueOperand(), req_idx, idx_end, InsertBefore); } else if (ExtractValueInst *I = dyn_cast(V)) { // If we're extracting a value from an aggregrate that was extracted from // something else, we can extract from that something else directly instead. // However, we will need to chain I's indices with the requested indices. // Calculate the number of indices required unsigned size = I->getNumIndices() + (idx_end - idx_begin); // Allocate some space to put the new indices in SmallVector Idxs; Idxs.reserve(size); // Add indices from the extract value instruction for (const unsigned *i = I->idx_begin(), *e = I->idx_end(); i != e; ++i) Idxs.push_back(*i); // Add requested indices for (const unsigned *i = idx_begin, *e = idx_end; i != e; ++i) Idxs.push_back(*i); assert(Idxs.size() == size && "Number of indices added not correct?"); return FindInsertedValue(I->getAggregateOperand(), Idxs.begin(), Idxs.end(), InsertBefore); } // Otherwise, we don't know (such as, extracting from a function return value // or load instruction) return 0; } /// GetPointerBaseWithConstantOffset - Analyze the specified pointer to see if /// it can be expressed as a base pointer plus a constant offset. Return the /// base and offset to the caller. Value *llvm::GetPointerBaseWithConstantOffset(Value *Ptr, int64_t &Offset, const TargetData &TD) { Operator *PtrOp = dyn_cast(Ptr); if (PtrOp == 0) return Ptr; // Just look through bitcasts. if (PtrOp->getOpcode() == Instruction::BitCast) return GetPointerBaseWithConstantOffset(PtrOp->getOperand(0), Offset, TD); // If this is a GEP with constant indices, we can look through it. GEPOperator *GEP = dyn_cast(PtrOp); if (GEP == 0 || !GEP->hasAllConstantIndices()) return Ptr; gep_type_iterator GTI = gep_type_begin(GEP); for (User::op_iterator I = GEP->idx_begin(), E = GEP->idx_end(); I != E; ++I, ++GTI) { ConstantInt *OpC = cast(*I); if (OpC->isZero()) continue; // Handle a struct and array indices which add their offset to the pointer. if (const StructType *STy = dyn_cast(*GTI)) { Offset += TD.getStructLayout(STy)->getElementOffset(OpC->getZExtValue()); } else { uint64_t Size = TD.getTypeAllocSize(GTI.getIndexedType()); Offset += OpC->getSExtValue()*Size; } } // Re-sign extend from the pointer size if needed to get overflow edge cases // right. unsigned PtrSize = TD.getPointerSizeInBits(); if (PtrSize < 64) Offset = (Offset << (64-PtrSize)) >> (64-PtrSize); return GetPointerBaseWithConstantOffset(GEP->getPointerOperand(), Offset, TD); } /// GetConstantStringInfo - This function computes the length of a /// null-terminated C string pointed to by V. If successful, it returns true /// and returns the string in Str. If unsuccessful, it returns false. bool llvm::GetConstantStringInfo(const Value *V, std::string &Str, uint64_t Offset, bool StopAtNul) { // If V is NULL then return false; if (V == NULL) return false; // Look through bitcast instructions. if (const BitCastInst *BCI = dyn_cast(V)) return GetConstantStringInfo(BCI->getOperand(0), Str, Offset, StopAtNul); // If the value is not a GEP instruction nor a constant expression with a // GEP instruction, then return false because ConstantArray can't occur // any other way const User *GEP = 0; if (const GetElementPtrInst *GEPI = dyn_cast(V)) { GEP = GEPI; } else if (const ConstantExpr *CE = dyn_cast(V)) { if (CE->getOpcode() == Instruction::BitCast) return GetConstantStringInfo(CE->getOperand(0), Str, Offset, StopAtNul); if (CE->getOpcode() != Instruction::GetElementPtr) return false; GEP = CE; } if (GEP) { // Make sure the GEP has exactly three arguments. if (GEP->getNumOperands() != 3) return false; // Make sure the index-ee is a pointer to array of i8. const PointerType *PT = cast(GEP->getOperand(0)->getType()); const ArrayType *AT = dyn_cast(PT->getElementType()); if (AT == 0 || !AT->getElementType()->isIntegerTy(8)) return false; // Check to make sure that the first operand of the GEP is an integer and // has value 0 so that we are sure we're indexing into the initializer. const ConstantInt *FirstIdx = dyn_cast(GEP->getOperand(1)); if (FirstIdx == 0 || !FirstIdx->isZero()) return false; // If the second index isn't a ConstantInt, then this is a variable index // into the array. If this occurs, we can't say anything meaningful about // the string. uint64_t StartIdx = 0; if (const ConstantInt *CI = dyn_cast(GEP->getOperand(2))) StartIdx = CI->getZExtValue(); else return false; return GetConstantStringInfo(GEP->getOperand(0), Str, StartIdx+Offset, StopAtNul); } // The GEP instruction, constant or instruction, must reference a global // variable that is a constant and is initialized. The referenced constant // initializer is the array that we'll use for optimization. const GlobalVariable* GV = dyn_cast(V); if (!GV || !GV->isConstant() || !GV->hasDefinitiveInitializer()) return false; const Constant *GlobalInit = GV->getInitializer(); // Handle the ConstantAggregateZero case if (isa(GlobalInit)) { // This is a degenerate case. The initializer is constant zero so the // length of the string must be zero. Str.clear(); return true; } // Must be a Constant Array const ConstantArray *Array = dyn_cast(GlobalInit); if (Array == 0 || !Array->getType()->getElementType()->isIntegerTy(8)) return false; // Get the number of elements in the array uint64_t NumElts = Array->getType()->getNumElements(); if (Offset > NumElts) return false; // Traverse the constant array from 'Offset' which is the place the GEP refers // to in the array. Str.reserve(NumElts-Offset); for (unsigned i = Offset; i != NumElts; ++i) { const Constant *Elt = Array->getOperand(i); const ConstantInt *CI = dyn_cast(Elt); if (!CI) // This array isn't suitable, non-int initializer. return false; if (StopAtNul && CI->isZero()) return true; // we found end of string, success! Str += (char)CI->getZExtValue(); } // The array isn't null terminated, but maybe this is a memcpy, not a strcpy. return true; } // These next two are very similar to the above, but also look through PHI // nodes. // TODO: See if we can integrate these two together. /// GetStringLengthH - If we can compute the length of the string pointed to by /// the specified pointer, return 'len+1'. If we can't, return 0. static uint64_t GetStringLengthH(Value *V, SmallPtrSet &PHIs) { // Look through noop bitcast instructions. if (BitCastInst *BCI = dyn_cast(V)) return GetStringLengthH(BCI->getOperand(0), PHIs); // If this is a PHI node, there are two cases: either we have already seen it // or we haven't. if (PHINode *PN = dyn_cast(V)) { if (!PHIs.insert(PN)) return ~0ULL; // already in the set. // If it was new, see if all the input strings are the same length. uint64_t LenSoFar = ~0ULL; for (unsigned i = 0, e = PN->getNumIncomingValues(); i != e; ++i) { uint64_t Len = GetStringLengthH(PN->getIncomingValue(i), PHIs); if (Len == 0) return 0; // Unknown length -> unknown. if (Len == ~0ULL) continue; if (Len != LenSoFar && LenSoFar != ~0ULL) return 0; // Disagree -> unknown. LenSoFar = Len; } // Success, all agree. return LenSoFar; } // strlen(select(c,x,y)) -> strlen(x) ^ strlen(y) if (SelectInst *SI = dyn_cast(V)) { uint64_t Len1 = GetStringLengthH(SI->getTrueValue(), PHIs); if (Len1 == 0) return 0; uint64_t Len2 = GetStringLengthH(SI->getFalseValue(), PHIs); if (Len2 == 0) return 0; if (Len1 == ~0ULL) return Len2; if (Len2 == ~0ULL) return Len1; if (Len1 != Len2) return 0; return Len1; } // If the value is not a GEP instruction nor a constant expression with a // GEP instruction, then return unknown. User *GEP = 0; if (GetElementPtrInst *GEPI = dyn_cast(V)) { GEP = GEPI; } else if (ConstantExpr *CE = dyn_cast(V)) { if (CE->getOpcode() != Instruction::GetElementPtr) return 0; GEP = CE; } else { return 0; } // Make sure the GEP has exactly three arguments. if (GEP->getNumOperands() != 3) return 0; // Check to make sure that the first operand of the GEP is an integer and // has value 0 so that we are sure we're indexing into the initializer. if (ConstantInt *Idx = dyn_cast(GEP->getOperand(1))) { if (!Idx->isZero()) return 0; } else return 0; // If the second index isn't a ConstantInt, then this is a variable index // into the array. If this occurs, we can't say anything meaningful about // the string. uint64_t StartIdx = 0; if (ConstantInt *CI = dyn_cast(GEP->getOperand(2))) StartIdx = CI->getZExtValue(); else return 0; // The GEP instruction, constant or instruction, must reference a global // variable that is a constant and is initialized. The referenced constant // initializer is the array that we'll use for optimization. GlobalVariable* GV = dyn_cast(GEP->getOperand(0)); if (!GV || !GV->isConstant() || !GV->hasInitializer() || GV->mayBeOverridden()) return 0; Constant *GlobalInit = GV->getInitializer(); // Handle the ConstantAggregateZero case, which is a degenerate case. The // initializer is constant zero so the length of the string must be zero. if (isa(GlobalInit)) return 1; // Len = 0 offset by 1. // Must be a Constant Array ConstantArray *Array = dyn_cast(GlobalInit); if (!Array || !Array->getType()->getElementType()->isIntegerTy(8)) return false; // Get the number of elements in the array uint64_t NumElts = Array->getType()->getNumElements(); // Traverse the constant array from StartIdx (derived above) which is // the place the GEP refers to in the array. for (unsigned i = StartIdx; i != NumElts; ++i) { Constant *Elt = Array->getOperand(i); ConstantInt *CI = dyn_cast(Elt); if (!CI) // This array isn't suitable, non-int initializer. return 0; if (CI->isZero()) return i-StartIdx+1; // We found end of string, success! } return 0; // The array isn't null terminated, conservatively return 'unknown'. } /// GetStringLength - If we can compute the length of the string pointed to by /// the specified pointer, return 'len+1'. If we can't, return 0. uint64_t llvm::GetStringLength(Value *V) { if (!V->getType()->isPointerTy()) return 0; SmallPtrSet PHIs; uint64_t Len = GetStringLengthH(V, PHIs); // If Len is ~0ULL, we had an infinite phi cycle: this is dead code, so return // an empty string as a length. return Len == ~0ULL ? 1 : Len; } Value * llvm::GetUnderlyingObject(Value *V, const TargetData *TD, unsigned MaxLookup) { if (!V->getType()->isPointerTy()) return V; for (unsigned Count = 0; MaxLookup == 0 || Count < MaxLookup; ++Count) { if (GEPOperator *GEP = dyn_cast(V)) { V = GEP->getPointerOperand(); } else if (Operator::getOpcode(V) == Instruction::BitCast) { V = cast(V)->getOperand(0); } else if (GlobalAlias *GA = dyn_cast(V)) { if (GA->mayBeOverridden()) return V; V = GA->getAliasee(); } else { // See if InstructionSimplify knows any relevant tricks. if (Instruction *I = dyn_cast(V)) // TODO: Aquire a DominatorTree and use it. if (Value *Simplified = SimplifyInstruction(I, TD, 0)) { V = Simplified; continue; } return V; } assert(V->getType()->isPointerTy() && "Unexpected operand type!"); } return V; }