//===- llvm/Support/KnownBits.h - Stores known zeros/ones -------*- C++ -*-===// // // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. // See https://llvm.org/LICENSE.txt for license information. // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception // //===----------------------------------------------------------------------===// // // This file contains a class for representing known zeros and ones used by // computeKnownBits. // //===----------------------------------------------------------------------===// #ifndef LLVM_SUPPORT_KNOWNBITS_H #define LLVM_SUPPORT_KNOWNBITS_H #include "llvm/ADT/APInt.h" #include namespace llvm { // Struct for tracking the known zeros and ones of a value. struct KnownBits { APInt Zero; APInt One; private: // Internal constructor for creating a KnownBits from two APInts. KnownBits(APInt Zero, APInt One) : Zero(std::move(Zero)), One(std::move(One)) {} public: // Default construct Zero and One. KnownBits() = default; /// Create a known bits object of BitWidth bits initialized to unknown. KnownBits(unsigned BitWidth) : Zero(BitWidth, 0), One(BitWidth, 0) {} /// Get the bit width of this value. unsigned getBitWidth() const { assert(Zero.getBitWidth() == One.getBitWidth() && "Zero and One should have the same width!"); return Zero.getBitWidth(); } /// Returns true if there is conflicting information. bool hasConflict() const { return Zero.intersects(One); } /// Returns true if we know the value of all bits. bool isConstant() const { assert(!hasConflict() && "KnownBits conflict!"); return Zero.popcount() + One.popcount() == getBitWidth(); } /// Returns the value when all bits have a known value. This just returns One /// with a protective assertion. const APInt &getConstant() const { assert(isConstant() && "Can only get value when all bits are known"); return One; } /// Returns true if we don't know any bits. bool isUnknown() const { return Zero.isZero() && One.isZero(); } /// Resets the known state of all bits. void resetAll() { Zero.clearAllBits(); One.clearAllBits(); } /// Returns true if value is all zero. bool isZero() const { assert(!hasConflict() && "KnownBits conflict!"); return Zero.isAllOnes(); } /// Returns true if value is all one bits. bool isAllOnes() const { assert(!hasConflict() && "KnownBits conflict!"); return One.isAllOnes(); } /// Make all bits known to be zero and discard any previous information. void setAllZero() { Zero.setAllBits(); One.clearAllBits(); } /// Make all bits known to be one and discard any previous information. void setAllOnes() { Zero.clearAllBits(); One.setAllBits(); } /// Returns true if this value is known to be negative. bool isNegative() const { return One.isSignBitSet(); } /// Returns true if this value is known to be non-negative. bool isNonNegative() const { return Zero.isSignBitSet(); } /// Returns true if this value is known to be non-zero. bool isNonZero() const { return !One.isZero(); } /// Returns true if this value is known to be positive. bool isStrictlyPositive() const { return Zero.isSignBitSet() && !One.isZero(); } /// Make this value negative. void makeNegative() { One.setSignBit(); } /// Make this value non-negative. void makeNonNegative() { Zero.setSignBit(); } /// Return the minimal unsigned value possible given these KnownBits. APInt getMinValue() const { // Assume that all bits that aren't known-ones are zeros. return One; } /// Return the minimal signed value possible given these KnownBits. APInt getSignedMinValue() const { // Assume that all bits that aren't known-ones are zeros. APInt Min = One; // Sign bit is unknown. if (Zero.isSignBitClear()) Min.setSignBit(); return Min; } /// Return the maximal unsigned value possible given these KnownBits. APInt getMaxValue() const { // Assume that all bits that aren't known-zeros are ones. return ~Zero; } /// Return the maximal signed value possible given these KnownBits. APInt getSignedMaxValue() const { // Assume that all bits that aren't known-zeros are ones. APInt Max = ~Zero; // Sign bit is unknown. if (One.isSignBitClear()) Max.clearSignBit(); return Max; } /// Return known bits for a truncation of the value we're tracking. KnownBits trunc(unsigned BitWidth) const { return KnownBits(Zero.trunc(BitWidth), One.trunc(BitWidth)); } /// Return known bits for an "any" extension of the value we're tracking, /// where we don't know anything about the extended bits. KnownBits anyext(unsigned BitWidth) const { return KnownBits(Zero.zext(BitWidth), One.zext(BitWidth)); } /// Return known bits for a zero extension of the value we're tracking. KnownBits zext(unsigned BitWidth) const { unsigned OldBitWidth = getBitWidth(); APInt NewZero = Zero.zext(BitWidth); NewZero.setBitsFrom(OldBitWidth); return KnownBits(NewZero, One.zext(BitWidth)); } /// Return known bits for a sign extension of the value we're tracking. KnownBits sext(unsigned BitWidth) const { return KnownBits(Zero.sext(BitWidth), One.sext(BitWidth)); } /// Return known bits for an "any" extension or truncation of the value we're /// tracking. KnownBits anyextOrTrunc(unsigned BitWidth) const { if (BitWidth > getBitWidth()) return anyext(BitWidth); if (BitWidth < getBitWidth()) return trunc(BitWidth); return *this; } /// Return known bits for a zero extension or truncation of the value we're /// tracking. KnownBits zextOrTrunc(unsigned BitWidth) const { if (BitWidth > getBitWidth()) return zext(BitWidth); if (BitWidth < getBitWidth()) return trunc(BitWidth); return *this; } /// Return known bits for a sign extension or truncation of the value we're /// tracking. KnownBits sextOrTrunc(unsigned BitWidth) const { if (BitWidth > getBitWidth()) return sext(BitWidth); if (BitWidth < getBitWidth()) return trunc(BitWidth); return *this; } /// Return known bits for a in-register sign extension of the value we're /// tracking. KnownBits sextInReg(unsigned SrcBitWidth) const; /// Insert the bits from a smaller known bits starting at bitPosition. void insertBits(const KnownBits &SubBits, unsigned BitPosition) { Zero.insertBits(SubBits.Zero, BitPosition); One.insertBits(SubBits.One, BitPosition); } /// Return a subset of the known bits from [bitPosition,bitPosition+numBits). KnownBits extractBits(unsigned NumBits, unsigned BitPosition) const { return KnownBits(Zero.extractBits(NumBits, BitPosition), One.extractBits(NumBits, BitPosition)); } /// Concatenate the bits from \p Lo onto the bottom of *this. This is /// equivalent to: /// (this->zext(NewWidth) << Lo.getBitWidth()) | Lo.zext(NewWidth) KnownBits concat(const KnownBits &Lo) const { return KnownBits(Zero.concat(Lo.Zero), One.concat(Lo.One)); } /// Return KnownBits based on this, but updated given that the underlying /// value is known to be greater than or equal to Val. KnownBits makeGE(const APInt &Val) const; /// Returns the minimum number of trailing zero bits. unsigned countMinTrailingZeros() const { return Zero.countr_one(); } /// Returns the minimum number of trailing one bits. unsigned countMinTrailingOnes() const { return One.countr_one(); } /// Returns the minimum number of leading zero bits. unsigned countMinLeadingZeros() const { return Zero.countl_one(); } /// Returns the minimum number of leading one bits. unsigned countMinLeadingOnes() const { return One.countl_one(); } /// Returns the number of times the sign bit is replicated into the other /// bits. unsigned countMinSignBits() const { if (isNonNegative()) return countMinLeadingZeros(); if (isNegative()) return countMinLeadingOnes(); // Every value has at least 1 sign bit. return 1; } /// Returns the maximum number of bits needed to represent all possible /// signed values with these known bits. This is the inverse of the minimum /// number of known sign bits. Examples for bitwidth 5: /// 110?? --> 4 /// 0000? --> 2 unsigned countMaxSignificantBits() const { return getBitWidth() - countMinSignBits() + 1; } /// Returns the maximum number of trailing zero bits possible. unsigned countMaxTrailingZeros() const { return One.countr_zero(); } /// Returns the maximum number of trailing one bits possible. unsigned countMaxTrailingOnes() const { return Zero.countr_zero(); } /// Returns the maximum number of leading zero bits possible. unsigned countMaxLeadingZeros() const { return One.countl_zero(); } /// Returns the maximum number of leading one bits possible. unsigned countMaxLeadingOnes() const { return Zero.countl_zero(); } /// Returns the number of bits known to be one. unsigned countMinPopulation() const { return One.popcount(); } /// Returns the maximum number of bits that could be one. unsigned countMaxPopulation() const { return getBitWidth() - Zero.popcount(); } /// Returns the maximum number of bits needed to represent all possible /// unsigned values with these known bits. This is the inverse of the /// minimum number of leading zeros. unsigned countMaxActiveBits() const { return getBitWidth() - countMinLeadingZeros(); } /// Create known bits from a known constant. static KnownBits makeConstant(const APInt &C) { return KnownBits(~C, C); } /// Returns KnownBits information that is known to be true for both this and /// RHS. /// /// When an operation is known to return one of its operands, this can be used /// to combine information about the known bits of the operands to get the /// information that must be true about the result. KnownBits intersectWith(const KnownBits &RHS) const { return KnownBits(Zero & RHS.Zero, One & RHS.One); } /// Returns KnownBits information that is known to be true for either this or /// RHS or both. /// /// This can be used to combine different sources of information about the /// known bits of a single value, e.g. information about the low bits and the /// high bits of the result of a multiplication. KnownBits unionWith(const KnownBits &RHS) const { return KnownBits(Zero | RHS.Zero, One | RHS.One); } /// Compute known bits common to LHS and RHS. LLVM_DEPRECATED("use intersectWith instead", "intersectWith") static KnownBits commonBits(const KnownBits &LHS, const KnownBits &RHS) { return LHS.intersectWith(RHS); } /// Return true if LHS and RHS have no common bits set. static bool haveNoCommonBitsSet(const KnownBits &LHS, const KnownBits &RHS) { return (LHS.Zero | RHS.Zero).isAllOnes(); } /// Compute known bits resulting from adding LHS, RHS and a 1-bit Carry. static KnownBits computeForAddCarry( const KnownBits &LHS, const KnownBits &RHS, const KnownBits &Carry); /// Compute known bits resulting from adding LHS and RHS. static KnownBits computeForAddSub(bool Add, bool NSW, const KnownBits &LHS, KnownBits RHS); /// Compute knownbits resulting from llvm.sadd.sat(LHS, RHS) static KnownBits sadd_sat(const KnownBits &LHS, const KnownBits &RHS); /// Compute knownbits resulting from llvm.uadd.sat(LHS, RHS) static KnownBits uadd_sat(const KnownBits &LHS, const KnownBits &RHS); /// Compute knownbits resulting from llvm.ssub.sat(LHS, RHS) static KnownBits ssub_sat(const KnownBits &LHS, const KnownBits &RHS); /// Compute knownbits resulting from llvm.usub.sat(LHS, RHS) static KnownBits usub_sat(const KnownBits &LHS, const KnownBits &RHS); /// Compute known bits resulting from multiplying LHS and RHS. static KnownBits mul(const KnownBits &LHS, const KnownBits &RHS, bool NoUndefSelfMultiply = false); /// Compute known bits from sign-extended multiply-hi. static KnownBits mulhs(const KnownBits &LHS, const KnownBits &RHS); /// Compute known bits from zero-extended multiply-hi. static KnownBits mulhu(const KnownBits &LHS, const KnownBits &RHS); /// Compute known bits for sdiv(LHS, RHS). static KnownBits sdiv(const KnownBits &LHS, const KnownBits &RHS, bool Exact = false); /// Compute known bits for udiv(LHS, RHS). static KnownBits udiv(const KnownBits &LHS, const KnownBits &RHS, bool Exact = false); /// Compute known bits for urem(LHS, RHS). static KnownBits urem(const KnownBits &LHS, const KnownBits &RHS); /// Compute known bits for srem(LHS, RHS). static KnownBits srem(const KnownBits &LHS, const KnownBits &RHS); /// Compute known bits for umax(LHS, RHS). static KnownBits umax(const KnownBits &LHS, const KnownBits &RHS); /// Compute known bits for umin(LHS, RHS). static KnownBits umin(const KnownBits &LHS, const KnownBits &RHS); /// Compute known bits for smax(LHS, RHS). static KnownBits smax(const KnownBits &LHS, const KnownBits &RHS); /// Compute known bits for smin(LHS, RHS). static KnownBits smin(const KnownBits &LHS, const KnownBits &RHS); /// Compute known bits for shl(LHS, RHS). /// NOTE: RHS (shift amount) bitwidth doesn't need to be the same as LHS. static KnownBits shl(const KnownBits &LHS, const KnownBits &RHS, bool NUW = false, bool NSW = false, bool ShAmtNonZero = false); /// Compute known bits for lshr(LHS, RHS). /// NOTE: RHS (shift amount) bitwidth doesn't need to be the same as LHS. static KnownBits lshr(const KnownBits &LHS, const KnownBits &RHS, bool ShAmtNonZero = false); /// Compute known bits for ashr(LHS, RHS). /// NOTE: RHS (shift amount) bitwidth doesn't need to be the same as LHS. static KnownBits ashr(const KnownBits &LHS, const KnownBits &RHS, bool ShAmtNonZero = false); /// Determine if these known bits always give the same ICMP_EQ result. static std::optional eq(const KnownBits &LHS, const KnownBits &RHS); /// Determine if these known bits always give the same ICMP_NE result. static std::optional ne(const KnownBits &LHS, const KnownBits &RHS); /// Determine if these known bits always give the same ICMP_UGT result. static std::optional ugt(const KnownBits &LHS, const KnownBits &RHS); /// Determine if these known bits always give the same ICMP_UGE result. static std::optional uge(const KnownBits &LHS, const KnownBits &RHS); /// Determine if these known bits always give the same ICMP_ULT result. static std::optional ult(const KnownBits &LHS, const KnownBits &RHS); /// Determine if these known bits always give the same ICMP_ULE result. static std::optional ule(const KnownBits &LHS, const KnownBits &RHS); /// Determine if these known bits always give the same ICMP_SGT result. static std::optional sgt(const KnownBits &LHS, const KnownBits &RHS); /// Determine if these known bits always give the same ICMP_SGE result. static std::optional sge(const KnownBits &LHS, const KnownBits &RHS); /// Determine if these known bits always give the same ICMP_SLT result. static std::optional slt(const KnownBits &LHS, const KnownBits &RHS); /// Determine if these known bits always give the same ICMP_SLE result. static std::optional sle(const KnownBits &LHS, const KnownBits &RHS); /// Update known bits based on ANDing with RHS. KnownBits &operator&=(const KnownBits &RHS); /// Update known bits based on ORing with RHS. KnownBits &operator|=(const KnownBits &RHS); /// Update known bits based on XORing with RHS. KnownBits &operator^=(const KnownBits &RHS); /// Compute known bits for the absolute value. KnownBits abs(bool IntMinIsPoison = false) const; KnownBits byteSwap() const { return KnownBits(Zero.byteSwap(), One.byteSwap()); } KnownBits reverseBits() const { return KnownBits(Zero.reverseBits(), One.reverseBits()); } /// Compute known bits for X & -X, which has only the lowest bit set of X set. /// The name comes from the X86 BMI instruction KnownBits blsi() const; /// Compute known bits for X ^ (X - 1), which has all bits up to and including /// the lowest set bit of X set. The name comes from the X86 BMI instruction. KnownBits blsmsk() const; bool operator==(const KnownBits &Other) const { return Zero == Other.Zero && One == Other.One; } bool operator!=(const KnownBits &Other) const { return !(*this == Other); } void print(raw_ostream &OS) const; void dump() const; private: // Internal helper for getting the initial KnownBits for an `srem` or `urem` // operation with the low-bits set. static KnownBits remGetLowBits(const KnownBits &LHS, const KnownBits &RHS); }; inline KnownBits operator&(KnownBits LHS, const KnownBits &RHS) { LHS &= RHS; return LHS; } inline KnownBits operator&(const KnownBits &LHS, KnownBits &&RHS) { RHS &= LHS; return std::move(RHS); } inline KnownBits operator|(KnownBits LHS, const KnownBits &RHS) { LHS |= RHS; return LHS; } inline KnownBits operator|(const KnownBits &LHS, KnownBits &&RHS) { RHS |= LHS; return std::move(RHS); } inline KnownBits operator^(KnownBits LHS, const KnownBits &RHS) { LHS ^= RHS; return LHS; } inline KnownBits operator^(const KnownBits &LHS, KnownBits &&RHS) { RHS ^= LHS; return std::move(RHS); } inline raw_ostream &operator<<(raw_ostream &OS, const KnownBits &Known) { Known.print(OS); return OS; } } // end namespace llvm #endif