- //===- llvm/Analysis/ValueTracking.h - Walk computations --------*- 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 routines that help analyze properties that chains of 
- // computations have. 
- // 
- //===----------------------------------------------------------------------===// 
-   
- #ifndef LLVM_ANALYSIS_VALUETRACKING_H 
- #define LLVM_ANALYSIS_VALUETRACKING_H 
-   
- #include "llvm/ADT/ArrayRef.h" 
- #include "llvm/ADT/SmallSet.h" 
- #include "llvm/IR/Constants.h" 
- #include "llvm/IR/DataLayout.h" 
- #include "llvm/IR/InstrTypes.h" 
- #include "llvm/IR/Intrinsics.h" 
- #include <cassert> 
- #include <cstdint> 
-   
- namespace llvm { 
-   
- class Operator; 
- class AddOperator; 
- class AllocaInst; 
- class APInt; 
- class AssumptionCache; 
- class DominatorTree; 
- class GEPOperator; 
- class LoadInst; 
- class WithOverflowInst; 
- struct KnownBits; 
- class Loop; 
- class LoopInfo; 
- class MDNode; 
- class OptimizationRemarkEmitter; 
- class StringRef; 
- class TargetLibraryInfo; 
- class Value; 
-   
- constexpr unsigned MaxAnalysisRecursionDepth = 6; 
-   
- /// Determine which bits of V are known to be either zero or one and return 
- /// them in the KnownZero/KnownOne bit sets. 
- /// 
- /// This function is defined on values with integer type, values with pointer 
- /// type, and vectors of integers.  In the case 
- /// where V is a vector, the 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 computeKnownBits(const Value *V, KnownBits &Known, const DataLayout &DL, 
-                       unsigned Depth = 0, AssumptionCache *AC = nullptr, 
-                       const Instruction *CxtI = nullptr, 
-                       const DominatorTree *DT = nullptr, 
-                       OptimizationRemarkEmitter *ORE = nullptr, 
-                       bool UseInstrInfo = true); 
-   
- /// Determine which bits of V are known to be either zero or one and return 
- /// them in the KnownZero/KnownOne bit sets. 
- /// 
- /// This function is defined on values with integer type, values with pointer 
- /// type, and vectors of integers.  In the case 
- /// where V is a vector, the 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 demanded elements in the vector. 
- void computeKnownBits(const Value *V, const APInt &DemandedElts, 
-                       KnownBits &Known, const DataLayout &DL, 
-                       unsigned Depth = 0, AssumptionCache *AC = nullptr, 
-                       const Instruction *CxtI = nullptr, 
-                       const DominatorTree *DT = nullptr, 
-                       OptimizationRemarkEmitter *ORE = nullptr, 
-                       bool UseInstrInfo = true); 
-   
- /// Returns the known bits rather than passing by reference. 
- KnownBits computeKnownBits(const Value *V, const DataLayout &DL, 
-                            unsigned Depth = 0, AssumptionCache *AC = nullptr, 
-                            const Instruction *CxtI = nullptr, 
-                            const DominatorTree *DT = nullptr, 
-                            OptimizationRemarkEmitter *ORE = nullptr, 
-                            bool UseInstrInfo = true); 
-   
- /// Returns the known bits rather than passing by reference. 
- KnownBits computeKnownBits(const Value *V, const APInt &DemandedElts, 
-                            const DataLayout &DL, unsigned Depth = 0, 
-                            AssumptionCache *AC = nullptr, 
-                            const Instruction *CxtI = nullptr, 
-                            const DominatorTree *DT = nullptr, 
-                            OptimizationRemarkEmitter *ORE = nullptr, 
-                            bool UseInstrInfo = true); 
-   
- /// Compute known bits from the range metadata. 
- /// \p KnownZero the set of bits that are known to be zero 
- /// \p KnownOne the set of bits that are known to be one 
- void computeKnownBitsFromRangeMetadata(const MDNode &Ranges, KnownBits &Known); 
-   
- /// Return true if LHS and RHS have no common bits set. 
- bool haveNoCommonBitsSet(const Value *LHS, const Value *RHS, 
-                          const DataLayout &DL, AssumptionCache *AC = nullptr, 
-                          const Instruction *CxtI = nullptr, 
-                          const DominatorTree *DT = nullptr, 
-                          bool UseInstrInfo = true); 
-   
- /// 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 type and 
- /// vectors of integers. If 'OrZero' is set, then return true if the given 
- /// value is either a power of two or zero. 
- bool isKnownToBeAPowerOfTwo(const Value *V, const DataLayout &DL, 
-                             bool OrZero = false, unsigned Depth = 0, 
-                             AssumptionCache *AC = nullptr, 
-                             const Instruction *CxtI = nullptr, 
-                             const DominatorTree *DT = nullptr, 
-                             bool UseInstrInfo = true); 
-   
- bool isOnlyUsedInZeroEqualityComparison(const Instruction *CxtI); 
-   
- /// 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. For pointers, if the context instruction and dominator tree are 
- /// specified, perform context-sensitive analysis and return true if the 
- /// pointer couldn't possibly be null at the specified instruction. 
- /// Supports values with integer or pointer type and vectors of integers. 
- bool isKnownNonZero(const Value *V, const DataLayout &DL, unsigned Depth = 0, 
-                     AssumptionCache *AC = nullptr, 
-                     const Instruction *CxtI = nullptr, 
-                     const DominatorTree *DT = nullptr, 
-                     bool UseInstrInfo = true); 
-   
- /// Return true if the two given values are negation. 
- /// Currently can recoginze Value pair: 
- /// 1: <X, Y> if X = sub (0, Y) or Y = sub (0, X) 
- /// 2: <X, Y> if X = sub (A, B) and Y = sub (B, A) 
- bool isKnownNegation(const Value *X, const Value *Y, bool NeedNSW = false); 
-   
- /// Returns true if the give value is known to be non-negative. 
- bool isKnownNonNegative(const Value *V, const DataLayout &DL, 
-                         unsigned Depth = 0, AssumptionCache *AC = nullptr, 
-                         const Instruction *CxtI = nullptr, 
-                         const DominatorTree *DT = nullptr, 
-                         bool UseInstrInfo = true); 
-   
- /// Returns true if the given value is known be positive (i.e. non-negative 
- /// and non-zero). 
- bool isKnownPositive(const Value *V, const DataLayout &DL, unsigned Depth = 0, 
-                      AssumptionCache *AC = nullptr, 
-                      const Instruction *CxtI = nullptr, 
-                      const DominatorTree *DT = nullptr, 
-                      bool UseInstrInfo = true); 
-   
- /// Returns true if the given value is known be negative (i.e. non-positive 
- /// and non-zero). 
- bool isKnownNegative(const Value *V, const DataLayout &DL, unsigned Depth = 0, 
-                      AssumptionCache *AC = nullptr, 
-                      const Instruction *CxtI = nullptr, 
-                      const DominatorTree *DT = nullptr, 
-                      bool UseInstrInfo = true); 
-   
- /// Return true if the given values are known to be non-equal when defined. 
- /// Supports scalar integer types only. 
- bool isKnownNonEqual(const Value *V1, const Value *V2, const DataLayout &DL, 
-                      AssumptionCache *AC = nullptr, 
-                      const Instruction *CxtI = nullptr, 
-                      const DominatorTree *DT = nullptr, 
-                      bool UseInstrInfo = true); 
-   
- /// 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, 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 MaskedValueIsZero(const Value *V, const APInt &Mask, const DataLayout &DL, 
-                        unsigned Depth = 0, AssumptionCache *AC = nullptr, 
-                        const Instruction *CxtI = nullptr, 
-                        const DominatorTree *DT = nullptr, 
-                        bool UseInstrInfo = true); 
-   
- /// 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. For vectors, return the number of 
- /// sign bits for the vector element with the mininum number of known sign 
- /// bits. 
- unsigned ComputeNumSignBits(const Value *Op, const DataLayout &DL, 
-                             unsigned Depth = 0, AssumptionCache *AC = nullptr, 
-                             const Instruction *CxtI = nullptr, 
-                             const DominatorTree *DT = nullptr, 
-                             bool UseInstrInfo = true); 
-   
- /// Get the upper bound on bit size for this Value \p Op as a signed integer. 
- /// i.e.  x == sext(trunc(x to MaxSignificantBits) to bitwidth(x)). 
- /// Similar to the APInt::getSignificantBits function. 
- unsigned ComputeMaxSignificantBits(const Value *Op, const DataLayout &DL, 
-                                    unsigned Depth = 0, 
-                                    AssumptionCache *AC = nullptr, 
-                                    const Instruction *CxtI = nullptr, 
-                                    const DominatorTree *DT = nullptr); 
-   
- /// Map a call instruction to an intrinsic ID.  Libcalls which have equivalent 
- /// intrinsics are treated as-if they were intrinsics. 
- Intrinsic::ID getIntrinsicForCallSite(const CallBase &CB, 
-                                       const TargetLibraryInfo *TLI); 
-   
- /// Return true if we can prove that the specified FP value is never equal to 
- /// -0.0. 
- bool CannotBeNegativeZero(const Value *V, const TargetLibraryInfo *TLI, 
-                           unsigned Depth = 0); 
-   
- /// Return true if we can prove that the specified FP value is either NaN or 
- /// never less than -0.0. 
- /// 
- ///      NaN --> true 
- ///       +0 --> true 
- ///       -0 --> true 
- ///   x > +0 --> true 
- ///   x < -0 --> false 
- bool CannotBeOrderedLessThanZero(const Value *V, const TargetLibraryInfo *TLI); 
-   
- /// Return true if the floating-point scalar value is not an infinity or if 
- /// the floating-point vector value has no infinities. Return false if a value 
- /// could ever be infinity. 
- bool isKnownNeverInfinity(const Value *V, const TargetLibraryInfo *TLI, 
-                           unsigned Depth = 0); 
-   
- /// Return true if the floating-point scalar value is not a NaN or if the 
- /// floating-point vector value has no NaN elements. Return false if a value 
- /// could ever be NaN. 
- bool isKnownNeverNaN(const Value *V, const TargetLibraryInfo *TLI, 
-                      unsigned Depth = 0); 
-   
- /// Return true if we can prove that the specified FP value's sign bit is 0. 
- /// 
- ///      NaN --> true/false (depending on the NaN's sign bit) 
- ///       +0 --> true 
- ///       -0 --> false 
- ///   x > +0 --> true 
- ///   x < -0 --> false 
- bool SignBitMustBeZero(const Value *V, const TargetLibraryInfo *TLI); 
-   
- /// 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. If the value is entirely undef and padding, 
- /// return undef. 
- Value *isBytewiseValue(Value *V, const DataLayout &DL); 
-   
- /// Given an aggregate 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 aggregate. 
- /// 
- /// If InsertBefore is not null, this function will duplicate (modified) 
- /// insertvalues when a part of a nested struct is extracted. 
- Value *FindInsertedValue(Value *V, ArrayRef<unsigned> idx_range, 
-                          Instruction *InsertBefore = nullptr); 
-   
- /// 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. 
- /// 
- /// This is a wrapper around Value::stripAndAccumulateConstantOffsets that 
- /// creates and later unpacks the required APInt. 
- inline Value *GetPointerBaseWithConstantOffset(Value *Ptr, int64_t &Offset, 
-                                                const DataLayout &DL, 
-                                                bool AllowNonInbounds = true) { 
-   APInt OffsetAPInt(DL.getIndexTypeSizeInBits(Ptr->getType()), 0); 
-   Value *Base = 
-       Ptr->stripAndAccumulateConstantOffsets(DL, OffsetAPInt, AllowNonInbounds); 
-   
-   Offset = OffsetAPInt.getSExtValue(); 
-   return Base; 
- } 
- inline const Value * 
- GetPointerBaseWithConstantOffset(const Value *Ptr, int64_t &Offset, 
-                                  const DataLayout &DL, 
-                                  bool AllowNonInbounds = true) { 
-   return GetPointerBaseWithConstantOffset(const_cast<Value *>(Ptr), Offset, DL, 
-                                           AllowNonInbounds); 
- } 
-   
- /// Returns true if the GEP is based on a pointer to a string (array of 
- // \p CharSize integers) and is indexing into this string. 
- bool isGEPBasedOnPointerToString(const GEPOperator *GEP, unsigned CharSize = 8); 
-   
- /// Represents offset+length into a ConstantDataArray. 
- struct ConstantDataArraySlice { 
-   /// ConstantDataArray pointer. nullptr indicates a zeroinitializer (a valid 
-   /// initializer, it just doesn't fit the ConstantDataArray interface). 
-   const ConstantDataArray *Array; 
-   
-   /// Slice starts at this Offset. 
-   uint64_t Offset; 
-   
-   /// Length of the slice. 
-   uint64_t Length; 
-   
-   /// Moves the Offset and adjusts Length accordingly. 
-   void move(uint64_t Delta) { 
-     assert(Delta < Length); 
-     Offset += Delta; 
-     Length -= Delta; 
-   } 
-   
-   /// Convenience accessor for elements in the slice. 
-   uint64_t operator[](unsigned I) const { 
-     return Array == nullptr ? 0 : Array->getElementAsInteger(I + Offset); 
-   } 
- }; 
-   
- /// Returns true if the value \p V is a pointer into a ConstantDataArray. 
- /// If successful \p Slice will point to a ConstantDataArray info object 
- /// with an appropriate offset. 
- bool getConstantDataArrayInfo(const Value *V, ConstantDataArraySlice &Slice, 
-                               unsigned ElementSize, uint64_t Offset = 0); 
-   
- /// 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. This does not include the trailing null 
- /// character by default. If TrimAtNul is set to false, then this returns any 
- /// trailing null characters as well as any other characters that come after 
- /// it. 
- bool getConstantStringInfo(const Value *V, StringRef &Str, 
-                            bool TrimAtNul = true); 
-   
- /// 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 GetStringLength(const Value *V, unsigned CharSize = 8); 
-   
- /// This function returns call pointer argument that is considered the same by 
- /// aliasing rules. You CAN'T use it to replace one value with another. If 
- /// \p MustPreserveNullness is true, the call must preserve the nullness of 
- /// the pointer. 
- const Value *getArgumentAliasingToReturnedPointer(const CallBase *Call, 
-                                                   bool MustPreserveNullness); 
- inline Value *getArgumentAliasingToReturnedPointer(CallBase *Call, 
-                                                    bool MustPreserveNullness) { 
-   return const_cast<Value *>(getArgumentAliasingToReturnedPointer( 
-       const_cast<const CallBase *>(Call), MustPreserveNullness)); 
- } 
-   
- /// {launder,strip}.invariant.group returns pointer that aliases its argument, 
- /// and it only captures pointer by returning it. 
- /// These intrinsics are not marked as nocapture, because returning is 
- /// considered as capture. The arguments are not marked as returned neither, 
- /// because it would make it useless. If \p MustPreserveNullness is true, 
- /// the intrinsic must preserve the nullness of the pointer. 
- bool isIntrinsicReturningPointerAliasingArgumentWithoutCapturing( 
-     const CallBase *Call, bool MustPreserveNullness); 
-   
- /// This method strips off any GEP address adjustments and pointer casts from 
- /// the specified value, returning the original object being addressed. Note 
- /// that the returned value has pointer type if the specified value does. If 
- /// the MaxLookup value is non-zero, it limits the number of instructions to 
- /// be stripped off. 
- const Value *getUnderlyingObject(const Value *V, unsigned MaxLookup = 6); 
- inline Value *getUnderlyingObject(Value *V, unsigned MaxLookup = 6) { 
-   // Force const to avoid infinite recursion. 
-   const Value *VConst = V; 
-   return const_cast<Value *>(getUnderlyingObject(VConst, MaxLookup)); 
- } 
-   
- /// This method is similar to getUnderlyingObject except that it can 
- /// look through phi and select instructions and return multiple objects. 
- /// 
- /// If LoopInfo is passed, loop phis are further analyzed.  If a pointer 
- /// accesses different objects in each iteration, we don't look through the 
- /// phi node. E.g. consider this loop nest: 
- /// 
- ///   int **A; 
- ///   for (i) 
- ///     for (j) { 
- ///        A[i][j] = A[i-1][j] * B[j] 
- ///     } 
- /// 
- /// This is transformed by Load-PRE to stash away A[i] for the next iteration 
- /// of the outer loop: 
- /// 
- ///   Curr = A[0];          // Prev_0 
- ///   for (i: 1..N) { 
- ///     Prev = Curr;        // Prev = PHI (Prev_0, Curr) 
- ///     Curr = A[i]; 
- ///     for (j: 0..N) { 
- ///        Curr[j] = Prev[j] * B[j] 
- ///     } 
- ///   } 
- /// 
- /// Since A[i] and A[i-1] are independent pointers, getUnderlyingObjects 
- /// should not assume that Curr and Prev share the same underlying object thus 
- /// it shouldn't look through the phi above. 
- void getUnderlyingObjects(const Value *V, 
-                           SmallVectorImpl<const Value *> &Objects, 
-                           LoopInfo *LI = nullptr, unsigned MaxLookup = 6); 
-   
- /// This is a wrapper around getUnderlyingObjects and adds support for basic 
- /// ptrtoint+arithmetic+inttoptr sequences. 
- bool getUnderlyingObjectsForCodeGen(const Value *V, 
-                                     SmallVectorImpl<Value *> &Objects); 
-   
- /// Returns unique alloca where the value comes from, or nullptr. 
- /// If OffsetZero is true check that V points to the begining of the alloca. 
- AllocaInst *findAllocaForValue(Value *V, bool OffsetZero = false); 
- inline const AllocaInst *findAllocaForValue(const Value *V, 
-                                             bool OffsetZero = false) { 
-   return findAllocaForValue(const_cast<Value *>(V), OffsetZero); 
- } 
-   
- /// Return true if the only users of this pointer are lifetime markers. 
- bool onlyUsedByLifetimeMarkers(const Value *V); 
-   
- /// Return true if the only users of this pointer are lifetime markers or 
- /// droppable instructions. 
- bool onlyUsedByLifetimeMarkersOrDroppableInsts(const Value *V); 
-   
- /// Return true if speculation of the given load must be suppressed to avoid 
- /// ordering or interfering with an active sanitizer.  If not suppressed, 
- /// dereferenceability and alignment must be proven separately.  Note: This 
- /// is only needed for raw reasoning; if you use the interface below 
- /// (isSafeToSpeculativelyExecute), this is handled internally. 
- bool mustSuppressSpeculation(const LoadInst &LI); 
-   
- /// Return true if the instruction does not have any effects besides 
- /// calculating the result and does not have undefined behavior. 
- /// 
- /// This method never returns true for an instruction that returns true for 
- /// mayHaveSideEffects; however, this method also does some other checks in 
- /// addition. It checks for undefined behavior, like dividing by zero or 
- /// loading from an invalid pointer (but not for undefined results, like a 
- /// shift with a shift amount larger than the width of the result). It checks 
- /// for malloc and alloca because speculatively executing them might cause a 
- /// memory leak. It also returns false for instructions related to control 
- /// flow, specifically terminators and PHI nodes. 
- /// 
- /// If the CtxI is specified this method performs context-sensitive analysis 
- /// and returns true if it is safe to execute the instruction immediately 
- /// before the CtxI. 
- /// 
- /// If the CtxI is NOT specified this method only looks at the instruction 
- /// itself and its operands, so if this method returns true, it is safe to 
- /// move the instruction as long as the correct dominance relationships for 
- /// the operands and users hold. 
- /// 
- /// This method can return true for instructions that read memory; 
- /// for such instructions, moving them may change the resulting value. 
- bool isSafeToSpeculativelyExecute(const Instruction *I, 
-                                   const Instruction *CtxI = nullptr, 
-                                   AssumptionCache *AC = nullptr, 
-                                   const DominatorTree *DT = nullptr, 
-                                   const TargetLibraryInfo *TLI = nullptr); 
-   
- /// This returns the same result as isSafeToSpeculativelyExecute if Opcode is 
- /// the actual opcode of Inst. If the provided and actual opcode differ, the 
- /// function (virtually) overrides the opcode of Inst with the provided 
- /// Opcode. There are come constraints in this case: 
- /// * If Opcode has a fixed number of operands (eg, as binary operators do), 
- ///   then Inst has to have at least as many leading operands. The function 
- ///   will ignore all trailing operands beyond that number. 
- /// * If Opcode allows for an arbitrary number of operands (eg, as CallInsts 
- ///   do), then all operands are considered. 
- /// * The virtual instruction has to satisfy all typing rules of the provided 
- ///   Opcode. 
- /// * This function is pessimistic in the following sense: If one actually 
- ///   materialized the virtual instruction, then isSafeToSpeculativelyExecute 
- ///   may say that the materialized instruction is speculatable whereas this 
- ///   function may have said that the instruction wouldn't be speculatable. 
- ///   This behavior is a shortcoming in the current implementation and not 
- ///   intentional. 
- bool isSafeToSpeculativelyExecuteWithOpcode( 
-     unsigned Opcode, const Instruction *Inst, const Instruction *CtxI = nullptr, 
-     AssumptionCache *AC = nullptr, const DominatorTree *DT = nullptr, 
-     const TargetLibraryInfo *TLI = nullptr); 
-   
- /// Returns true if the result or effects of the given instructions \p I 
- /// depend values not reachable through the def use graph. 
- /// * Memory dependence arises for example if the instruction reads from 
- ///   memory or may produce effects or undefined behaviour. Memory dependent 
- ///   instructions generally cannot be reorderd with respect to other memory 
- ///   dependent instructions. 
- /// * Control dependence arises for example if the instruction may fault 
- ///   if lifted above a throwing call or infinite loop. 
- bool mayHaveNonDefUseDependency(const Instruction &I); 
-   
- /// Return true if it is an intrinsic that cannot be speculated but also 
- /// cannot trap. 
- bool isAssumeLikeIntrinsic(const Instruction *I); 
-   
- /// Return true if it is valid to use the assumptions provided by an 
- /// assume intrinsic, I, at the point in the control-flow identified by the 
- /// context instruction, CxtI. 
- bool isValidAssumeForContext(const Instruction *I, const Instruction *CxtI, 
-                              const DominatorTree *DT = nullptr); 
-   
- enum class OverflowResult { 
-   /// Always overflows in the direction of signed/unsigned min value. 
-   AlwaysOverflowsLow, 
-   /// Always overflows in the direction of signed/unsigned max value. 
-   AlwaysOverflowsHigh, 
-   /// May or may not overflow. 
-   MayOverflow, 
-   /// Never overflows. 
-   NeverOverflows, 
- }; 
-   
- OverflowResult computeOverflowForUnsignedMul(const Value *LHS, const Value *RHS, 
-                                              const DataLayout &DL, 
-                                              AssumptionCache *AC, 
-                                              const Instruction *CxtI, 
-                                              const DominatorTree *DT, 
-                                              bool UseInstrInfo = true); 
- OverflowResult computeOverflowForSignedMul(const Value *LHS, const Value *RHS, 
-                                            const DataLayout &DL, 
-                                            AssumptionCache *AC, 
-                                            const Instruction *CxtI, 
-                                            const DominatorTree *DT, 
-                                            bool UseInstrInfo = true); 
- OverflowResult computeOverflowForUnsignedAdd(const Value *LHS, const Value *RHS, 
-                                              const DataLayout &DL, 
-                                              AssumptionCache *AC, 
-                                              const Instruction *CxtI, 
-                                              const DominatorTree *DT, 
-                                              bool UseInstrInfo = true); 
- OverflowResult computeOverflowForSignedAdd(const Value *LHS, const Value *RHS, 
-                                            const DataLayout &DL, 
-                                            AssumptionCache *AC = nullptr, 
-                                            const Instruction *CxtI = nullptr, 
-                                            const DominatorTree *DT = nullptr); 
- /// This version also leverages the sign bit of Add if known. 
- OverflowResult computeOverflowForSignedAdd(const AddOperator *Add, 
-                                            const DataLayout &DL, 
-                                            AssumptionCache *AC = nullptr, 
-                                            const Instruction *CxtI = nullptr, 
-                                            const DominatorTree *DT = nullptr); 
- OverflowResult computeOverflowForUnsignedSub(const Value *LHS, const Value *RHS, 
-                                              const DataLayout &DL, 
-                                              AssumptionCache *AC, 
-                                              const Instruction *CxtI, 
-                                              const DominatorTree *DT); 
- OverflowResult computeOverflowForSignedSub(const Value *LHS, const Value *RHS, 
-                                            const DataLayout &DL, 
-                                            AssumptionCache *AC, 
-                                            const Instruction *CxtI, 
-                                            const DominatorTree *DT); 
-   
- /// Returns true if the arithmetic part of the \p WO 's result is 
- /// used only along the paths control dependent on the computation 
- /// not overflowing, \p WO being an <op>.with.overflow intrinsic. 
- bool isOverflowIntrinsicNoWrap(const WithOverflowInst *WO, 
-                                const DominatorTree &DT); 
-   
- /// Determine the possible constant range of an integer or vector of integer 
- /// value. This is intended as a cheap, non-recursive check. 
- ConstantRange computeConstantRange(const Value *V, bool ForSigned, 
-                                    bool UseInstrInfo = true, 
-                                    AssumptionCache *AC = nullptr, 
-                                    const Instruction *CtxI = nullptr, 
-                                    const DominatorTree *DT = nullptr, 
-                                    unsigned Depth = 0); 
-   
- /// Return true if this function can prove that the instruction I will 
- /// always transfer execution to one of its successors (including the next 
- /// instruction that follows within a basic block). E.g. this is not 
- /// guaranteed for function calls that could loop infinitely. 
- /// 
- /// In other words, this function returns false for instructions that may 
- /// transfer execution or fail to transfer execution in a way that is not 
- /// captured in the CFG nor in the sequence of instructions within a basic 
- /// block. 
- /// 
- /// Undefined behavior is assumed not to happen, so e.g. division is 
- /// guaranteed to transfer execution to the following instruction even 
- /// though division by zero might cause undefined behavior. 
- bool isGuaranteedToTransferExecutionToSuccessor(const Instruction *I); 
-   
- /// Returns true if this block does not contain a potential implicit exit. 
- /// This is equivelent to saying that all instructions within the basic block 
- /// are guaranteed to transfer execution to their successor within the basic 
- /// block. This has the same assumptions w.r.t. undefined behavior as the 
- /// instruction variant of this function. 
- bool isGuaranteedToTransferExecutionToSuccessor(const BasicBlock *BB); 
-   
- /// Return true if every instruction in the range (Begin, End) is 
- /// guaranteed to transfer execution to its static successor. \p ScanLimit 
- /// bounds the search to avoid scanning huge blocks. 
- bool isGuaranteedToTransferExecutionToSuccessor( 
-     BasicBlock::const_iterator Begin, BasicBlock::const_iterator End, 
-     unsigned ScanLimit = 32); 
-   
- /// Same as previous, but with range expressed via iterator_range. 
- bool isGuaranteedToTransferExecutionToSuccessor( 
-     iterator_range<BasicBlock::const_iterator> Range, unsigned ScanLimit = 32); 
-   
- /// Return true if this function can prove that the instruction I 
- /// is executed for every iteration of the loop L. 
- /// 
- /// Note that this currently only considers the loop header. 
- bool isGuaranteedToExecuteForEveryIteration(const Instruction *I, 
-                                             const Loop *L); 
-   
- /// Return true if \p PoisonOp's user yields poison or raises UB if its 
- /// operand \p PoisonOp is poison. 
- /// 
- /// If \p PoisonOp is a vector or an aggregate and the operation's result is a 
- /// single value, any poison element in /p PoisonOp should make the result 
- /// poison or raise UB. 
- /// 
- /// To filter out operands that raise UB on poison, you can use 
- /// getGuaranteedNonPoisonOp. 
- bool propagatesPoison(const Use &PoisonOp); 
-   
- /// Insert operands of I into Ops such that I will trigger undefined behavior 
- /// if I is executed and that operand has a poison value. 
- void getGuaranteedNonPoisonOps(const Instruction *I, 
-                                SmallVectorImpl<const Value *> &Ops); 
-   
- /// Insert operands of I into Ops such that I will trigger undefined behavior 
- /// if I is executed and that operand is not a well-defined value 
- /// (i.e. has undef bits or poison). 
- void getGuaranteedWellDefinedOps(const Instruction *I, 
-                                  SmallVectorImpl<const Value *> &Ops); 
-   
- /// Return true if the given instruction must trigger undefined behavior 
- /// when I is executed with any operands which appear in KnownPoison holding 
- /// a poison value at the point of execution. 
- bool mustTriggerUB(const Instruction *I, 
-                    const SmallSet<const Value *, 16> &KnownPoison); 
-   
- /// Return true if this function can prove that if Inst is executed 
- /// and yields a poison value or undef bits, then that will trigger 
- /// undefined behavior. 
- /// 
- /// Note that this currently only considers the basic block that is 
- /// the parent of Inst. 
- bool programUndefinedIfUndefOrPoison(const Instruction *Inst); 
- bool programUndefinedIfPoison(const Instruction *Inst); 
-   
- /// canCreateUndefOrPoison returns true if Op can create undef or poison from 
- /// non-undef & non-poison operands. 
- /// For vectors, canCreateUndefOrPoison returns true if there is potential 
- /// poison or undef in any element of the result when vectors without 
- /// undef/poison poison are given as operands. 
- /// For example, given `Op = shl <2 x i32> %x, <0, 32>`, this function returns 
- /// true. If Op raises immediate UB but never creates poison or undef 
- /// (e.g. sdiv I, 0), canCreatePoison returns false. 
- /// 
- /// \p ConsiderFlagsAndMetadata controls whether poison producing flags and 
- /// metadata on the instruction are considered.  This can be used to see if the 
- /// instruction could still introduce undef or poison even without poison 
- /// generating flags and metadata which might be on the instruction. 
- /// (i.e. could the result of Op->dropPoisonGeneratingFlags() still create 
- /// poison or undef) 
- /// 
- /// canCreatePoison returns true if Op can create poison from non-poison 
- /// operands. 
- bool canCreateUndefOrPoison(const Operator *Op, 
-                             bool ConsiderFlagsAndMetadata = true); 
- bool canCreatePoison(const Operator *Op, bool ConsiderFlagsAndMetadata = true); 
-   
- /// Return true if V is poison given that ValAssumedPoison is already poison. 
- /// For example, if ValAssumedPoison is `icmp X, 10` and V is `icmp X, 5`, 
- /// impliesPoison returns true. 
- bool impliesPoison(const Value *ValAssumedPoison, const Value *V); 
-   
- /// Return true if this function can prove that V does not have undef bits 
- /// and is never poison. If V is an aggregate value or vector, check whether 
- /// all elements (except padding) are not undef or poison. 
- /// Note that this is different from canCreateUndefOrPoison because the 
- /// function assumes Op's operands are not poison/undef. 
- /// 
- /// If CtxI and DT are specified this method performs flow-sensitive analysis 
- /// and returns true if it is guaranteed to be never undef or poison 
- /// immediately before the CtxI. 
- bool isGuaranteedNotToBeUndefOrPoison(const Value *V, 
-                                       AssumptionCache *AC = nullptr, 
-                                       const Instruction *CtxI = nullptr, 
-                                       const DominatorTree *DT = nullptr, 
-                                       unsigned Depth = 0); 
- bool isGuaranteedNotToBePoison(const Value *V, AssumptionCache *AC = nullptr, 
-                                const Instruction *CtxI = nullptr, 
-                                const DominatorTree *DT = nullptr, 
-                                unsigned Depth = 0); 
-   
- /// Specific patterns of select instructions we can match. 
- enum SelectPatternFlavor { 
-   SPF_UNKNOWN = 0, 
-   SPF_SMIN,    /// Signed minimum 
-   SPF_UMIN,    /// Unsigned minimum 
-   SPF_SMAX,    /// Signed maximum 
-   SPF_UMAX,    /// Unsigned maximum 
-   SPF_FMINNUM, /// Floating point minnum 
-   SPF_FMAXNUM, /// Floating point maxnum 
-   SPF_ABS,     /// Absolute value 
-   SPF_NABS     /// Negated absolute value 
- }; 
-   
- /// Behavior when a floating point min/max is given one NaN and one 
- /// non-NaN as input. 
- enum SelectPatternNaNBehavior { 
-   SPNB_NA = 0,        /// NaN behavior not applicable. 
-   SPNB_RETURNS_NAN,   /// Given one NaN input, returns the NaN. 
-   SPNB_RETURNS_OTHER, /// Given one NaN input, returns the non-NaN. 
-   SPNB_RETURNS_ANY    /// Given one NaN input, can return either (or 
-                       /// it has been determined that no operands can 
-                       /// be NaN). 
- }; 
-   
- struct SelectPatternResult { 
-   SelectPatternFlavor Flavor; 
-   SelectPatternNaNBehavior NaNBehavior; /// Only applicable if Flavor is 
-                                         /// SPF_FMINNUM or SPF_FMAXNUM. 
-   bool Ordered; /// When implementing this min/max pattern as 
-                 /// fcmp; select, does the fcmp have to be 
-                 /// ordered? 
-   
-   /// Return true if \p SPF is a min or a max pattern. 
-   static bool isMinOrMax(SelectPatternFlavor SPF) { 
-     return SPF != SPF_UNKNOWN && SPF != SPF_ABS && SPF != SPF_NABS; 
-   } 
- }; 
-   
- /// Pattern match integer [SU]MIN, [SU]MAX and ABS idioms, returning the kind 
- /// and providing the out parameter results if we successfully match. 
- /// 
- /// For ABS/NABS, LHS will be set to the input to the abs idiom. RHS will be 
- /// the negation instruction from the idiom. 
- /// 
- /// If CastOp is not nullptr, also match MIN/MAX idioms where the type does 
- /// not match that of the original select. If this is the case, the cast 
- /// operation (one of Trunc,SExt,Zext) that must be done to transform the 
- /// type of LHS and RHS into the type of V is returned in CastOp. 
- /// 
- /// For example: 
- ///   %1 = icmp slt i32 %a, i32 4 
- ///   %2 = sext i32 %a to i64 
- ///   %3 = select i1 %1, i64 %2, i64 4 
- /// 
- /// -> LHS = %a, RHS = i32 4, *CastOp = Instruction::SExt 
- /// 
- SelectPatternResult matchSelectPattern(Value *V, Value *&LHS, Value *&RHS, 
-                                        Instruction::CastOps *CastOp = nullptr, 
-                                        unsigned Depth = 0); 
-   
- inline SelectPatternResult matchSelectPattern(const Value *V, const Value *&LHS, 
-                                               const Value *&RHS) { 
-   Value *L = const_cast<Value *>(LHS); 
-   Value *R = const_cast<Value *>(RHS); 
-   auto Result = matchSelectPattern(const_cast<Value *>(V), L, R); 
-   LHS = L; 
-   RHS = R; 
-   return Result; 
- } 
-   
- /// Determine the pattern that a select with the given compare as its 
- /// predicate and given values as its true/false operands would match. 
- SelectPatternResult matchDecomposedSelectPattern( 
-     CmpInst *CmpI, Value *TrueVal, Value *FalseVal, Value *&LHS, Value *&RHS, 
-     Instruction::CastOps *CastOp = nullptr, unsigned Depth = 0); 
-   
- /// Return the canonical comparison predicate for the specified 
- /// minimum/maximum flavor. 
- CmpInst::Predicate getMinMaxPred(SelectPatternFlavor SPF, bool Ordered = false); 
-   
- /// Return the inverse minimum/maximum flavor of the specified flavor. 
- /// For example, signed minimum is the inverse of signed maximum. 
- SelectPatternFlavor getInverseMinMaxFlavor(SelectPatternFlavor SPF); 
-   
- Intrinsic::ID getInverseMinMaxIntrinsic(Intrinsic::ID MinMaxID); 
-   
- /// Return the minimum or maximum constant value for the specified integer 
- /// min/max flavor and type. 
- APInt getMinMaxLimit(SelectPatternFlavor SPF, unsigned BitWidth); 
-   
- /// Check if the values in \p VL are select instructions that can be converted 
- /// to a min or max (vector) intrinsic. Returns the intrinsic ID, if such a 
- /// conversion is possible, together with a bool indicating whether all select 
- /// conditions are only used by the selects. Otherwise return 
- /// Intrinsic::not_intrinsic. 
- std::pair<Intrinsic::ID, bool> 
- canConvertToMinOrMaxIntrinsic(ArrayRef<Value *> VL); 
-   
- /// Attempt to match a simple first order recurrence cycle of the form: 
- ///   %iv = phi Ty [%Start, %Entry], [%Inc, %backedge] 
- ///   %inc = binop %iv, %step 
- /// OR 
- ///   %iv = phi Ty [%Start, %Entry], [%Inc, %backedge] 
- ///   %inc = binop %step, %iv 
- /// 
- /// A first order recurrence is a formula with the form: X_n = f(X_(n-1)) 
- /// 
- /// A couple of notes on subtleties in that definition: 
- /// * The Step does not have to be loop invariant.  In math terms, it can 
- ///   be a free variable.  We allow recurrences with both constant and 
- ///   variable coefficients. Callers may wish to filter cases where Step 
- ///   does not dominate P. 
- /// * For non-commutative operators, we will match both forms.  This 
- ///   results in some odd recurrence structures.  Callers may wish to filter 
- ///   out recurrences where the phi is not the LHS of the returned operator. 
- /// * Because of the structure matched, the caller can assume as a post 
- ///   condition of the match the presence of a Loop with P's parent as it's 
- ///   header *except* in unreachable code.  (Dominance decays in unreachable 
- ///   code.) 
- /// 
- /// NOTE: This is intentional simple.  If you want the ability to analyze 
- /// non-trivial loop conditons, see ScalarEvolution instead. 
- bool matchSimpleRecurrence(const PHINode *P, BinaryOperator *&BO, Value *&Start, 
-                            Value *&Step); 
-   
- /// Analogous to the above, but starting from the binary operator 
- bool matchSimpleRecurrence(const BinaryOperator *I, PHINode *&P, Value *&Start, 
-                            Value *&Step); 
-   
- /// Return true if RHS is known to be implied true by LHS.  Return false if 
- /// RHS is known to be implied false by LHS.  Otherwise, return std::nullopt if 
- /// no implication can be made. A & B must be i1 (boolean) values or a vector of 
- /// such values. Note that the truth table for implication is the same as <=u on 
- /// i1 values (but not 
- /// <=s!).  The truth table for both is: 
- ///    | T | F (B) 
- ///  T | T | F 
- ///  F | T | T 
- /// (A) 
- std::optional<bool> isImpliedCondition(const Value *LHS, const Value *RHS, 
-                                        const DataLayout &DL, 
-                                        bool LHSIsTrue = true, 
-                                        unsigned Depth = 0); 
- std::optional<bool> isImpliedCondition(const Value *LHS, 
-                                        CmpInst::Predicate RHSPred, 
-                                        const Value *RHSOp0, const Value *RHSOp1, 
-                                        const DataLayout &DL, 
-                                        bool LHSIsTrue = true, 
-                                        unsigned Depth = 0); 
-   
- /// Return the boolean condition value in the context of the given instruction 
- /// if it is known based on dominating conditions. 
- std::optional<bool> isImpliedByDomCondition(const Value *Cond, 
-                                             const Instruction *ContextI, 
-                                             const DataLayout &DL); 
- std::optional<bool> isImpliedByDomCondition(CmpInst::Predicate Pred, 
-                                             const Value *LHS, const Value *RHS, 
-                                             const Instruction *ContextI, 
-                                             const DataLayout &DL); 
-   
- /// If Ptr1 is provably equal to Ptr2 plus a constant offset, return that 
- /// offset. For example, Ptr1 might be &A[42], and Ptr2 might be &A[40]. In 
- /// this case offset would be -8. 
- std::optional<int64_t> isPointerOffset(const Value *Ptr1, const Value *Ptr2, 
-                                        const DataLayout &DL); 
- } // end namespace llvm 
-   
- #endif // LLVM_ANALYSIS_VALUETRACKING_H 
-