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      1 //===- llvm/Analysis/ValueTracking.h - Walk computations --------*- C++ -*-===//
      2 //
      3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
      4 // See https://llvm.org/LICENSE.txt for license information.
      5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
      6 //
      7 //===----------------------------------------------------------------------===//
      8 //
      9 // This file contains routines that help analyze properties that chains of
     10 // computations have.
     11 //
     12 //===----------------------------------------------------------------------===//
     13 
     14 #ifndef LLVM_ANALYSIS_VALUETRACKING_H
     15 #define LLVM_ANALYSIS_VALUETRACKING_H
     16 
     17 #include "llvm/ADT/ArrayRef.h"
     18 #include "llvm/ADT/Optional.h"
     19 #include "llvm/ADT/SmallSet.h"
     20 #include "llvm/IR/Constants.h"
     21 #include "llvm/IR/DataLayout.h"
     22 #include "llvm/IR/InstrTypes.h"
     23 #include "llvm/IR/Intrinsics.h"
     24 #include "llvm/IR/Operator.h"
     25 #include <cassert>
     26 #include <cstdint>
     27 
     28 namespace llvm {
     29 
     30 class AddOperator;
     31 class AllocaInst;
     32 class APInt;
     33 class AssumptionCache;
     34 class DominatorTree;
     35 class GEPOperator;
     36 class IntrinsicInst;
     37 class LoadInst;
     38 class WithOverflowInst;
     39 struct KnownBits;
     40 class Loop;
     41 class LoopInfo;
     42 class MDNode;
     43 class OptimizationRemarkEmitter;
     44 class StringRef;
     45 class TargetLibraryInfo;
     46 class Value;
     47 
     48 constexpr unsigned MaxAnalysisRecursionDepth = 6;
     49 
     50   /// Determine which bits of V are known to be either zero or one and return
     51   /// them in the KnownZero/KnownOne bit sets.
     52   ///
     53   /// This function is defined on values with integer type, values with pointer
     54   /// type, and vectors of integers.  In the case
     55   /// where V is a vector, the known zero and known one values are the
     56   /// same width as the vector element, and the bit is set only if it is true
     57   /// for all of the elements in the vector.
     58   void computeKnownBits(const Value *V, KnownBits &Known,
     59                         const DataLayout &DL, unsigned Depth = 0,
     60                         AssumptionCache *AC = nullptr,
     61                         const Instruction *CxtI = nullptr,
     62                         const DominatorTree *DT = nullptr,
     63                         OptimizationRemarkEmitter *ORE = nullptr,
     64                         bool UseInstrInfo = true);
     65 
     66   /// Determine which bits of V are known to be either zero or one and return
     67   /// them in the KnownZero/KnownOne bit sets.
     68   ///
     69   /// This function is defined on values with integer type, values with pointer
     70   /// type, and vectors of integers.  In the case
     71   /// where V is a vector, the known zero and known one values are the
     72   /// same width as the vector element, and the bit is set only if it is true
     73   /// for all of the demanded elements in the vector.
     74   void computeKnownBits(const Value *V, const APInt &DemandedElts,
     75                         KnownBits &Known, const DataLayout &DL,
     76                         unsigned Depth = 0, AssumptionCache *AC = nullptr,
     77                         const Instruction *CxtI = nullptr,
     78                         const DominatorTree *DT = nullptr,
     79                         OptimizationRemarkEmitter *ORE = nullptr,
     80                         bool UseInstrInfo = true);
     81 
     82   /// Returns the known bits rather than passing by reference.
     83   KnownBits computeKnownBits(const Value *V, const DataLayout &DL,
     84                              unsigned Depth = 0, AssumptionCache *AC = nullptr,
     85                              const Instruction *CxtI = nullptr,
     86                              const DominatorTree *DT = nullptr,
     87                              OptimizationRemarkEmitter *ORE = nullptr,
     88                              bool UseInstrInfo = true);
     89 
     90   /// Returns the known bits rather than passing by reference.
     91   KnownBits computeKnownBits(const Value *V, const APInt &DemandedElts,
     92                              const DataLayout &DL, unsigned Depth = 0,
     93                              AssumptionCache *AC = nullptr,
     94                              const Instruction *CxtI = nullptr,
     95                              const DominatorTree *DT = nullptr,
     96                              OptimizationRemarkEmitter *ORE = nullptr,
     97                              bool UseInstrInfo = true);
     98 
     99   /// Compute known bits from the range metadata.
    100   /// \p KnownZero the set of bits that are known to be zero
    101   /// \p KnownOne the set of bits that are known to be one
    102   void computeKnownBitsFromRangeMetadata(const MDNode &Ranges,
    103                                          KnownBits &Known);
    104 
    105   /// Return true if LHS and RHS have no common bits set.
    106   bool haveNoCommonBitsSet(const Value *LHS, const Value *RHS,
    107                            const DataLayout &DL,
    108                            AssumptionCache *AC = nullptr,
    109                            const Instruction *CxtI = nullptr,
    110                            const DominatorTree *DT = nullptr,
    111                            bool UseInstrInfo = true);
    112 
    113   /// Return true if the given value is known to have exactly one bit set when
    114   /// defined. For vectors return true if every element is known to be a power
    115   /// of two when defined. Supports values with integer or pointer type and
    116   /// vectors of integers. If 'OrZero' is set, then return true if the given
    117   /// value is either a power of two or zero.
    118   bool isKnownToBeAPowerOfTwo(const Value *V, const DataLayout &DL,
    119                               bool OrZero = false, unsigned Depth = 0,
    120                               AssumptionCache *AC = nullptr,
    121                               const Instruction *CxtI = nullptr,
    122                               const DominatorTree *DT = nullptr,
    123                               bool UseInstrInfo = true);
    124 
    125   bool isOnlyUsedInZeroEqualityComparison(const Instruction *CxtI);
    126 
    127   /// Return true if the given value is known to be non-zero when defined. For
    128   /// vectors, return true if every element is known to be non-zero when
    129   /// defined. For pointers, if the context instruction and dominator tree are
    130   /// specified, perform context-sensitive analysis and return true if the
    131   /// pointer couldn't possibly be null at the specified instruction.
    132   /// Supports values with integer or pointer type and vectors of integers.
    133   bool isKnownNonZero(const Value *V, const DataLayout &DL, unsigned Depth = 0,
    134                       AssumptionCache *AC = nullptr,
    135                       const Instruction *CxtI = nullptr,
    136                       const DominatorTree *DT = nullptr,
    137                       bool UseInstrInfo = true);
    138 
    139   /// Return true if the two given values are negation.
    140   /// Currently can recoginze Value pair:
    141   /// 1: <X, Y> if X = sub (0, Y) or Y = sub (0, X)
    142   /// 2: <X, Y> if X = sub (A, B) and Y = sub (B, A)
    143   bool isKnownNegation(const Value *X, const Value *Y, bool NeedNSW = false);
    144 
    145   /// Returns true if the give value is known to be non-negative.
    146   bool isKnownNonNegative(const Value *V, const DataLayout &DL,
    147                           unsigned Depth = 0,
    148                           AssumptionCache *AC = nullptr,
    149                           const Instruction *CxtI = nullptr,
    150                           const DominatorTree *DT = nullptr,
    151                           bool UseInstrInfo = true);
    152 
    153   /// Returns true if the given value is known be positive (i.e. non-negative
    154   /// and non-zero).
    155   bool isKnownPositive(const Value *V, const DataLayout &DL, unsigned Depth = 0,
    156                        AssumptionCache *AC = nullptr,
    157                        const Instruction *CxtI = nullptr,
    158                        const DominatorTree *DT = nullptr,
    159                        bool UseInstrInfo = true);
    160 
    161   /// Returns true if the given value is known be negative (i.e. non-positive
    162   /// and non-zero).
    163   bool isKnownNegative(const Value *V, const DataLayout &DL, unsigned Depth = 0,
    164                        AssumptionCache *AC = nullptr,
    165                        const Instruction *CxtI = nullptr,
    166                        const DominatorTree *DT = nullptr,
    167                        bool UseInstrInfo = true);
    168 
    169   /// Return true if the given values are known to be non-equal when defined.
    170   /// Supports scalar integer types only.
    171   bool isKnownNonEqual(const Value *V1, const Value *V2, const DataLayout &DL,
    172                        AssumptionCache *AC = nullptr,
    173                        const Instruction *CxtI = nullptr,
    174                        const DominatorTree *DT = nullptr,
    175                        bool UseInstrInfo = true);
    176 
    177   /// Return true if 'V & Mask' is known to be zero. We use this predicate to
    178   /// simplify operations downstream. Mask is known to be zero for bits that V
    179   /// cannot have.
    180   ///
    181   /// This function is defined on values with integer type, values with pointer
    182   /// type, and vectors of integers.  In the case
    183   /// where V is a vector, the mask, known zero, and known one values are the
    184   /// same width as the vector element, and the bit is set only if it is true
    185   /// for all of the elements in the vector.
    186   bool MaskedValueIsZero(const Value *V, const APInt &Mask,
    187                          const DataLayout &DL,
    188                          unsigned Depth = 0, AssumptionCache *AC = nullptr,
    189                          const Instruction *CxtI = nullptr,
    190                          const DominatorTree *DT = nullptr,
    191                          bool UseInstrInfo = true);
    192 
    193   /// Return the number of times the sign bit of the register is replicated into
    194   /// the other bits. We know that at least 1 bit is always equal to the sign
    195   /// bit (itself), but other cases can give us information. For example,
    196   /// immediately after an "ashr X, 2", we know that the top 3 bits are all
    197   /// equal to each other, so we return 3. For vectors, return the number of
    198   /// sign bits for the vector element with the mininum number of known sign
    199   /// bits.
    200   unsigned ComputeNumSignBits(const Value *Op, const DataLayout &DL,
    201                               unsigned Depth = 0, AssumptionCache *AC = nullptr,
    202                               const Instruction *CxtI = nullptr,
    203                               const DominatorTree *DT = nullptr,
    204                               bool UseInstrInfo = true);
    205 
    206   /// This function computes the integer multiple of Base that equals V. If
    207   /// successful, it returns true and returns the multiple in Multiple. If
    208   /// unsuccessful, it returns false. Also, if V can be simplified to an
    209   /// integer, then the simplified V is returned in Val. Look through sext only
    210   /// if LookThroughSExt=true.
    211   bool ComputeMultiple(Value *V, unsigned Base, Value *&Multiple,
    212                        bool LookThroughSExt = false,
    213                        unsigned Depth = 0);
    214 
    215   /// Map a call instruction to an intrinsic ID.  Libcalls which have equivalent
    216   /// intrinsics are treated as-if they were intrinsics.
    217   Intrinsic::ID getIntrinsicForCallSite(const CallBase &CB,
    218                                         const TargetLibraryInfo *TLI);
    219 
    220   /// Return true if we can prove that the specified FP value is never equal to
    221   /// -0.0.
    222   bool CannotBeNegativeZero(const Value *V, const TargetLibraryInfo *TLI,
    223                             unsigned Depth = 0);
    224 
    225   /// Return true if we can prove that the specified FP value is either NaN or
    226   /// never less than -0.0.
    227   ///
    228   ///      NaN --> true
    229   ///       +0 --> true
    230   ///       -0 --> true
    231   ///   x > +0 --> true
    232   ///   x < -0 --> false
    233   bool CannotBeOrderedLessThanZero(const Value *V, const TargetLibraryInfo *TLI);
    234 
    235   /// Return true if the floating-point scalar value is not an infinity or if
    236   /// the floating-point vector value has no infinities. Return false if a value
    237   /// could ever be infinity.
    238   bool isKnownNeverInfinity(const Value *V, const TargetLibraryInfo *TLI,
    239                             unsigned Depth = 0);
    240 
    241   /// Return true if the floating-point scalar value is not a NaN or if the
    242   /// floating-point vector value has no NaN elements. Return false if a value
    243   /// could ever be NaN.
    244   bool isKnownNeverNaN(const Value *V, const TargetLibraryInfo *TLI,
    245                        unsigned Depth = 0);
    246 
    247   /// Return true if we can prove that the specified FP value's sign bit is 0.
    248   ///
    249   ///      NaN --> true/false (depending on the NaN's sign bit)
    250   ///       +0 --> true
    251   ///       -0 --> false
    252   ///   x > +0 --> true
    253   ///   x < -0 --> false
    254   bool SignBitMustBeZero(const Value *V, const TargetLibraryInfo *TLI);
    255 
    256   /// If the specified value can be set by repeating the same byte in memory,
    257   /// return the i8 value that it is represented with. This is true for all i8
    258   /// values obviously, but is also true for i32 0, i32 -1, i16 0xF0F0, double
    259   /// 0.0 etc. If the value can't be handled with a repeated byte store (e.g.
    260   /// i16 0x1234), return null. If the value is entirely undef and padding,
    261   /// return undef.
    262   Value *isBytewiseValue(Value *V, const DataLayout &DL);
    263 
    264   /// Given an aggregate and an sequence of indices, see if the scalar value
    265   /// indexed is already around as a register, for example if it were inserted
    266   /// directly into the aggregate.
    267   ///
    268   /// If InsertBefore is not null, this function will duplicate (modified)
    269   /// insertvalues when a part of a nested struct is extracted.
    270   Value *FindInsertedValue(Value *V,
    271                            ArrayRef<unsigned> idx_range,
    272                            Instruction *InsertBefore = nullptr);
    273 
    274   /// Analyze the specified pointer to see if it can be expressed as a base
    275   /// pointer plus a constant offset. Return the base and offset to the caller.
    276   ///
    277   /// This is a wrapper around Value::stripAndAccumulateConstantOffsets that
    278   /// creates and later unpacks the required APInt.
    279   inline Value *GetPointerBaseWithConstantOffset(Value *Ptr, int64_t &Offset,
    280                                                  const DataLayout &DL,
    281                                                  bool AllowNonInbounds = true) {
    282     APInt OffsetAPInt(DL.getIndexTypeSizeInBits(Ptr->getType()), 0);
    283     Value *Base =
    284         Ptr->stripAndAccumulateConstantOffsets(DL, OffsetAPInt, AllowNonInbounds);
    285 
    286     Offset = OffsetAPInt.getSExtValue();
    287     return Base;
    288   }
    289   inline const Value *
    290   GetPointerBaseWithConstantOffset(const Value *Ptr, int64_t &Offset,
    291                                    const DataLayout &DL,
    292                                    bool AllowNonInbounds = true) {
    293     return GetPointerBaseWithConstantOffset(const_cast<Value *>(Ptr), Offset, DL,
    294                                             AllowNonInbounds);
    295   }
    296 
    297   /// Returns true if the GEP is based on a pointer to a string (array of
    298   // \p CharSize integers) and is indexing into this string.
    299   bool isGEPBasedOnPointerToString(const GEPOperator *GEP,
    300                                    unsigned CharSize = 8);
    301 
    302   /// Represents offset+length into a ConstantDataArray.
    303   struct ConstantDataArraySlice {
    304     /// ConstantDataArray pointer. nullptr indicates a zeroinitializer (a valid
    305     /// initializer, it just doesn't fit the ConstantDataArray interface).
    306     const ConstantDataArray *Array;
    307 
    308     /// Slice starts at this Offset.
    309     uint64_t Offset;
    310 
    311     /// Length of the slice.
    312     uint64_t Length;
    313 
    314     /// Moves the Offset and adjusts Length accordingly.
    315     void move(uint64_t Delta) {
    316       assert(Delta < Length);
    317       Offset += Delta;
    318       Length -= Delta;
    319     }
    320 
    321     /// Convenience accessor for elements in the slice.
    322     uint64_t operator[](unsigned I) const {
    323       return Array==nullptr ? 0 : Array->getElementAsInteger(I + Offset);
    324     }
    325   };
    326 
    327   /// Returns true if the value \p V is a pointer into a ConstantDataArray.
    328   /// If successful \p Slice will point to a ConstantDataArray info object
    329   /// with an appropriate offset.
    330   bool getConstantDataArrayInfo(const Value *V, ConstantDataArraySlice &Slice,
    331                                 unsigned ElementSize, uint64_t Offset = 0);
    332 
    333   /// This function computes the length of a null-terminated C string pointed to
    334   /// by V. If successful, it returns true and returns the string in Str. If
    335   /// unsuccessful, it returns false. This does not include the trailing null
    336   /// character by default. If TrimAtNul is set to false, then this returns any
    337   /// trailing null characters as well as any other characters that come after
    338   /// it.
    339   bool getConstantStringInfo(const Value *V, StringRef &Str,
    340                              uint64_t Offset = 0, bool TrimAtNul = true);
    341 
    342   /// If we can compute the length of the string pointed to by the specified
    343   /// pointer, return 'len+1'.  If we can't, return 0.
    344   uint64_t GetStringLength(const Value *V, unsigned CharSize = 8);
    345 
    346   /// This function returns call pointer argument that is considered the same by
    347   /// aliasing rules. You CAN'T use it to replace one value with another. If
    348   /// \p MustPreserveNullness is true, the call must preserve the nullness of
    349   /// the pointer.
    350   const Value *getArgumentAliasingToReturnedPointer(const CallBase *Call,
    351                                                     bool MustPreserveNullness);
    352   inline Value *
    353   getArgumentAliasingToReturnedPointer(CallBase *Call,
    354                                        bool MustPreserveNullness) {
    355     return const_cast<Value *>(getArgumentAliasingToReturnedPointer(
    356         const_cast<const CallBase *>(Call), MustPreserveNullness));
    357   }
    358 
    359   /// {launder,strip}.invariant.group returns pointer that aliases its argument,
    360   /// and it only captures pointer by returning it.
    361   /// These intrinsics are not marked as nocapture, because returning is
    362   /// considered as capture. The arguments are not marked as returned neither,
    363   /// because it would make it useless. If \p MustPreserveNullness is true,
    364   /// the intrinsic must preserve the nullness of the pointer.
    365   bool isIntrinsicReturningPointerAliasingArgumentWithoutCapturing(
    366       const CallBase *Call, bool MustPreserveNullness);
    367 
    368   /// This method strips off any GEP address adjustments and pointer casts from
    369   /// the specified value, returning the original object being addressed. Note
    370   /// that the returned value has pointer type if the specified value does. If
    371   /// the MaxLookup value is non-zero, it limits the number of instructions to
    372   /// be stripped off.
    373   const Value *getUnderlyingObject(const Value *V, unsigned MaxLookup = 6);
    374   inline Value *getUnderlyingObject(Value *V, unsigned MaxLookup = 6) {
    375     // Force const to avoid infinite recursion.
    376     const Value *VConst = V;
    377     return const_cast<Value *>(getUnderlyingObject(VConst, MaxLookup));
    378   }
    379 
    380   /// This method is similar to getUnderlyingObject except that it can
    381   /// look through phi and select instructions and return multiple objects.
    382   ///
    383   /// If LoopInfo is passed, loop phis are further analyzed.  If a pointer
    384   /// accesses different objects in each iteration, we don't look through the
    385   /// phi node. E.g. consider this loop nest:
    386   ///
    387   ///   int **A;
    388   ///   for (i)
    389   ///     for (j) {
    390   ///        A[i][j] = A[i-1][j] * B[j]
    391   ///     }
    392   ///
    393   /// This is transformed by Load-PRE to stash away A[i] for the next iteration
    394   /// of the outer loop:
    395   ///
    396   ///   Curr = A[0];          // Prev_0
    397   ///   for (i: 1..N) {
    398   ///     Prev = Curr;        // Prev = PHI (Prev_0, Curr)
    399   ///     Curr = A[i];
    400   ///     for (j: 0..N) {
    401   ///        Curr[j] = Prev[j] * B[j]
    402   ///     }
    403   ///   }
    404   ///
    405   /// Since A[i] and A[i-1] are independent pointers, getUnderlyingObjects
    406   /// should not assume that Curr and Prev share the same underlying object thus
    407   /// it shouldn't look through the phi above.
    408   void getUnderlyingObjects(const Value *V,
    409                             SmallVectorImpl<const Value *> &Objects,
    410                             LoopInfo *LI = nullptr, unsigned MaxLookup = 6);
    411 
    412   /// This is a wrapper around getUnderlyingObjects and adds support for basic
    413   /// ptrtoint+arithmetic+inttoptr sequences.
    414   bool getUnderlyingObjectsForCodeGen(const Value *V,
    415                                       SmallVectorImpl<Value *> &Objects);
    416 
    417   /// Returns unique alloca where the value comes from, or nullptr.
    418   /// If OffsetZero is true check that V points to the begining of the alloca.
    419   AllocaInst *findAllocaForValue(Value *V, bool OffsetZero = false);
    420   inline const AllocaInst *findAllocaForValue(const Value *V,
    421                                               bool OffsetZero = false) {
    422     return findAllocaForValue(const_cast<Value *>(V), OffsetZero);
    423   }
    424 
    425   /// Return true if the only users of this pointer are lifetime markers.
    426   bool onlyUsedByLifetimeMarkers(const Value *V);
    427 
    428   /// Return true if the only users of this pointer are lifetime markers or
    429   /// droppable instructions.
    430   bool onlyUsedByLifetimeMarkersOrDroppableInsts(const Value *V);
    431 
    432   /// Return true if speculation of the given load must be suppressed to avoid
    433   /// ordering or interfering with an active sanitizer.  If not suppressed,
    434   /// dereferenceability and alignment must be proven separately.  Note: This
    435   /// is only needed for raw reasoning; if you use the interface below
    436   /// (isSafeToSpeculativelyExecute), this is handled internally.
    437   bool mustSuppressSpeculation(const LoadInst &LI);
    438 
    439   /// Return true if the instruction does not have any effects besides
    440   /// calculating the result and does not have undefined behavior.
    441   ///
    442   /// This method never returns true for an instruction that returns true for
    443   /// mayHaveSideEffects; however, this method also does some other checks in
    444   /// addition. It checks for undefined behavior, like dividing by zero or
    445   /// loading from an invalid pointer (but not for undefined results, like a
    446   /// shift with a shift amount larger than the width of the result). It checks
    447   /// for malloc and alloca because speculatively executing them might cause a
    448   /// memory leak. It also returns false for instructions related to control
    449   /// flow, specifically terminators and PHI nodes.
    450   ///
    451   /// If the CtxI is specified this method performs context-sensitive analysis
    452   /// and returns true if it is safe to execute the instruction immediately
    453   /// before the CtxI.
    454   ///
    455   /// If the CtxI is NOT specified this method only looks at the instruction
    456   /// itself and its operands, so if this method returns true, it is safe to
    457   /// move the instruction as long as the correct dominance relationships for
    458   /// the operands and users hold.
    459   ///
    460   /// This method can return true for instructions that read memory;
    461   /// for such instructions, moving them may change the resulting value.
    462   bool isSafeToSpeculativelyExecute(const Value *V,
    463                                     const Instruction *CtxI = nullptr,
    464                                     const DominatorTree *DT = nullptr,
    465                                     const TargetLibraryInfo *TLI = nullptr);
    466 
    467   /// Returns true if the result or effects of the given instructions \p I
    468   /// depend on or influence global memory.
    469   /// Memory dependence arises for example if the instruction reads from
    470   /// memory or may produce effects or undefined behaviour. Memory dependent
    471   /// instructions generally cannot be reorderd with respect to other memory
    472   /// dependent instructions or moved into non-dominated basic blocks.
    473   /// Instructions which just compute a value based on the values of their
    474   /// operands are not memory dependent.
    475   bool mayBeMemoryDependent(const Instruction &I);
    476 
    477   /// Return true if it is an intrinsic that cannot be speculated but also
    478   /// cannot trap.
    479   bool isAssumeLikeIntrinsic(const Instruction *I);
    480 
    481   /// Return true if it is valid to use the assumptions provided by an
    482   /// assume intrinsic, I, at the point in the control-flow identified by the
    483   /// context instruction, CxtI.
    484   bool isValidAssumeForContext(const Instruction *I, const Instruction *CxtI,
    485                                const DominatorTree *DT = nullptr);
    486 
    487   enum class OverflowResult {
    488     /// Always overflows in the direction of signed/unsigned min value.
    489     AlwaysOverflowsLow,
    490     /// Always overflows in the direction of signed/unsigned max value.
    491     AlwaysOverflowsHigh,
    492     /// May or may not overflow.
    493     MayOverflow,
    494     /// Never overflows.
    495     NeverOverflows,
    496   };
    497 
    498   OverflowResult computeOverflowForUnsignedMul(const Value *LHS,
    499                                                const Value *RHS,
    500                                                const DataLayout &DL,
    501                                                AssumptionCache *AC,
    502                                                const Instruction *CxtI,
    503                                                const DominatorTree *DT,
    504                                                bool UseInstrInfo = true);
    505   OverflowResult computeOverflowForSignedMul(const Value *LHS, const Value *RHS,
    506                                              const DataLayout &DL,
    507                                              AssumptionCache *AC,
    508                                              const Instruction *CxtI,
    509                                              const DominatorTree *DT,
    510                                              bool UseInstrInfo = true);
    511   OverflowResult computeOverflowForUnsignedAdd(const Value *LHS,
    512                                                const Value *RHS,
    513                                                const DataLayout &DL,
    514                                                AssumptionCache *AC,
    515                                                const Instruction *CxtI,
    516                                                const DominatorTree *DT,
    517                                                bool UseInstrInfo = true);
    518   OverflowResult computeOverflowForSignedAdd(const Value *LHS, const Value *RHS,
    519                                              const DataLayout &DL,
    520                                              AssumptionCache *AC = nullptr,
    521                                              const Instruction *CxtI = nullptr,
    522                                              const DominatorTree *DT = nullptr);
    523   /// This version also leverages the sign bit of Add if known.
    524   OverflowResult computeOverflowForSignedAdd(const AddOperator *Add,
    525                                              const DataLayout &DL,
    526                                              AssumptionCache *AC = nullptr,
    527                                              const Instruction *CxtI = nullptr,
    528                                              const DominatorTree *DT = nullptr);
    529   OverflowResult computeOverflowForUnsignedSub(const Value *LHS, const Value *RHS,
    530                                                const DataLayout &DL,
    531                                                AssumptionCache *AC,
    532                                                const Instruction *CxtI,
    533                                                const DominatorTree *DT);
    534   OverflowResult computeOverflowForSignedSub(const Value *LHS, const Value *RHS,
    535                                              const DataLayout &DL,
    536                                              AssumptionCache *AC,
    537                                              const Instruction *CxtI,
    538                                              const DominatorTree *DT);
    539 
    540   /// Returns true if the arithmetic part of the \p WO 's result is
    541   /// used only along the paths control dependent on the computation
    542   /// not overflowing, \p WO being an <op>.with.overflow intrinsic.
    543   bool isOverflowIntrinsicNoWrap(const WithOverflowInst *WO,
    544                                  const DominatorTree &DT);
    545 
    546 
    547   /// Determine the possible constant range of an integer or vector of integer
    548   /// value. This is intended as a cheap, non-recursive check.
    549   ConstantRange computeConstantRange(const Value *V, bool UseInstrInfo = true,
    550                                      AssumptionCache *AC = nullptr,
    551                                      const Instruction *CtxI = nullptr,
    552                                      unsigned Depth = 0);
    553 
    554   /// Return true if this function can prove that the instruction I will
    555   /// always transfer execution to one of its successors (including the next
    556   /// instruction that follows within a basic block). E.g. this is not
    557   /// guaranteed for function calls that could loop infinitely.
    558   ///
    559   /// In other words, this function returns false for instructions that may
    560   /// transfer execution or fail to transfer execution in a way that is not
    561   /// captured in the CFG nor in the sequence of instructions within a basic
    562   /// block.
    563   ///
    564   /// Undefined behavior is assumed not to happen, so e.g. division is
    565   /// guaranteed to transfer execution to the following instruction even
    566   /// though division by zero might cause undefined behavior.
    567   bool isGuaranteedToTransferExecutionToSuccessor(const Instruction *I);
    568 
    569   /// Returns true if this block does not contain a potential implicit exit.
    570   /// This is equivelent to saying that all instructions within the basic block
    571   /// are guaranteed to transfer execution to their successor within the basic
    572   /// block. This has the same assumptions w.r.t. undefined behavior as the
    573   /// instruction variant of this function.
    574   bool isGuaranteedToTransferExecutionToSuccessor(const BasicBlock *BB);
    575 
    576   /// Return true if this function can prove that the instruction I
    577   /// is executed for every iteration of the loop L.
    578   ///
    579   /// Note that this currently only considers the loop header.
    580   bool isGuaranteedToExecuteForEveryIteration(const Instruction *I,
    581                                               const Loop *L);
    582 
    583   /// Return true if I yields poison or raises UB if any of its operands is
    584   /// poison.
    585   /// Formally, given I = `r = op v1 v2 .. vN`, propagatesPoison returns true
    586   /// if, for all i, r is evaluated to poison or op raises UB if vi = poison.
    587   /// If vi is a vector or an aggregate and r is a single value, any poison
    588   /// element in vi should make r poison or raise UB.
    589   /// To filter out operands that raise UB on poison, you can use
    590   /// getGuaranteedNonPoisonOp.
    591   bool propagatesPoison(const Operator *I);
    592 
    593   /// Insert operands of I into Ops such that I will trigger undefined behavior
    594   /// if I is executed and that operand has a poison value.
    595   void getGuaranteedNonPoisonOps(const Instruction *I,
    596                                  SmallPtrSetImpl<const Value *> &Ops);
    597   /// Insert operands of I into Ops such that I will trigger undefined behavior
    598   /// if I is executed and that operand is not a well-defined value
    599   /// (i.e. has undef bits or poison).
    600   void getGuaranteedWellDefinedOps(const Instruction *I,
    601                                    SmallPtrSetImpl<const Value *> &Ops);
    602 
    603   /// Return true if the given instruction must trigger undefined behavior
    604   /// when I is executed with any operands which appear in KnownPoison holding
    605   /// a poison value at the point of execution.
    606   bool mustTriggerUB(const Instruction *I,
    607                      const SmallSet<const Value *, 16>& KnownPoison);
    608 
    609   /// Return true if this function can prove that if Inst is executed
    610   /// and yields a poison value or undef bits, then that will trigger
    611   /// undefined behavior.
    612   ///
    613   /// Note that this currently only considers the basic block that is
    614   /// the parent of Inst.
    615   bool programUndefinedIfUndefOrPoison(const Instruction *Inst);
    616   bool programUndefinedIfPoison(const Instruction *Inst);
    617 
    618   /// canCreateUndefOrPoison returns true if Op can create undef or poison from
    619   /// non-undef & non-poison operands.
    620   /// For vectors, canCreateUndefOrPoison returns true if there is potential
    621   /// poison or undef in any element of the result when vectors without
    622   /// undef/poison poison are given as operands.
    623   /// For example, given `Op = shl <2 x i32> %x, <0, 32>`, this function returns
    624   /// true. If Op raises immediate UB but never creates poison or undef
    625   /// (e.g. sdiv I, 0), canCreatePoison returns false.
    626   ///
    627   /// canCreatePoison returns true if Op can create poison from non-poison
    628   /// operands.
    629   bool canCreateUndefOrPoison(const Operator *Op);
    630   bool canCreatePoison(const Operator *Op);
    631 
    632   /// Return true if V is poison given that ValAssumedPoison is already poison.
    633   /// For example, if ValAssumedPoison is `icmp X, 10` and V is `icmp X, 5`,
    634   /// impliesPoison returns true.
    635   bool impliesPoison(const Value *ValAssumedPoison, const Value *V);
    636 
    637   /// Return true if this function can prove that V does not have undef bits
    638   /// and is never poison. If V is an aggregate value or vector, check whether
    639   /// all elements (except padding) are not undef or poison.
    640   /// Note that this is different from canCreateUndefOrPoison because the
    641   /// function assumes Op's operands are not poison/undef.
    642   ///
    643   /// If CtxI and DT are specified this method performs flow-sensitive analysis
    644   /// and returns true if it is guaranteed to be never undef or poison
    645   /// immediately before the CtxI.
    646   bool isGuaranteedNotToBeUndefOrPoison(const Value *V,
    647                                         AssumptionCache *AC = nullptr,
    648                                         const Instruction *CtxI = nullptr,
    649                                         const DominatorTree *DT = nullptr,
    650                                         unsigned Depth = 0);
    651   bool isGuaranteedNotToBePoison(const Value *V, AssumptionCache *AC = nullptr,
    652                                  const Instruction *CtxI = nullptr,
    653                                  const DominatorTree *DT = nullptr,
    654                                  unsigned Depth = 0);
    655 
    656   /// Specific patterns of select instructions we can match.
    657   enum SelectPatternFlavor {
    658     SPF_UNKNOWN = 0,
    659     SPF_SMIN,                   /// Signed minimum
    660     SPF_UMIN,                   /// Unsigned minimum
    661     SPF_SMAX,                   /// Signed maximum
    662     SPF_UMAX,                   /// Unsigned maximum
    663     SPF_FMINNUM,                /// Floating point minnum
    664     SPF_FMAXNUM,                /// Floating point maxnum
    665     SPF_ABS,                    /// Absolute value
    666     SPF_NABS                    /// Negated absolute value
    667   };
    668 
    669   /// Behavior when a floating point min/max is given one NaN and one
    670   /// non-NaN as input.
    671   enum SelectPatternNaNBehavior {
    672     SPNB_NA = 0,                /// NaN behavior not applicable.
    673     SPNB_RETURNS_NAN,           /// Given one NaN input, returns the NaN.
    674     SPNB_RETURNS_OTHER,         /// Given one NaN input, returns the non-NaN.
    675     SPNB_RETURNS_ANY            /// Given one NaN input, can return either (or
    676                                 /// it has been determined that no operands can
    677                                 /// be NaN).
    678   };
    679 
    680   struct SelectPatternResult {
    681     SelectPatternFlavor Flavor;
    682     SelectPatternNaNBehavior NaNBehavior; /// Only applicable if Flavor is
    683                                           /// SPF_FMINNUM or SPF_FMAXNUM.
    684     bool Ordered;               /// When implementing this min/max pattern as
    685                                 /// fcmp; select, does the fcmp have to be
    686                                 /// ordered?
    687 
    688     /// Return true if \p SPF is a min or a max pattern.
    689     static bool isMinOrMax(SelectPatternFlavor SPF) {
    690       return SPF != SPF_UNKNOWN && SPF != SPF_ABS && SPF != SPF_NABS;
    691     }
    692   };
    693 
    694   /// Pattern match integer [SU]MIN, [SU]MAX and ABS idioms, returning the kind
    695   /// and providing the out parameter results if we successfully match.
    696   ///
    697   /// For ABS/NABS, LHS will be set to the input to the abs idiom. RHS will be
    698   /// the negation instruction from the idiom.
    699   ///
    700   /// If CastOp is not nullptr, also match MIN/MAX idioms where the type does
    701   /// not match that of the original select. If this is the case, the cast
    702   /// operation (one of Trunc,SExt,Zext) that must be done to transform the
    703   /// type of LHS and RHS into the type of V is returned in CastOp.
    704   ///
    705   /// For example:
    706   ///   %1 = icmp slt i32 %a, i32 4
    707   ///   %2 = sext i32 %a to i64
    708   ///   %3 = select i1 %1, i64 %2, i64 4
    709   ///
    710   /// -> LHS = %a, RHS = i32 4, *CastOp = Instruction::SExt
    711   ///
    712   SelectPatternResult matchSelectPattern(Value *V, Value *&LHS, Value *&RHS,
    713                                          Instruction::CastOps *CastOp = nullptr,
    714                                          unsigned Depth = 0);
    715 
    716   inline SelectPatternResult
    717   matchSelectPattern(const Value *V, const Value *&LHS, const Value *&RHS) {
    718     Value *L = const_cast<Value *>(LHS);
    719     Value *R = const_cast<Value *>(RHS);
    720     auto Result = matchSelectPattern(const_cast<Value *>(V), L, R);
    721     LHS = L;
    722     RHS = R;
    723     return Result;
    724   }
    725 
    726   /// Determine the pattern that a select with the given compare as its
    727   /// predicate and given values as its true/false operands would match.
    728   SelectPatternResult matchDecomposedSelectPattern(
    729       CmpInst *CmpI, Value *TrueVal, Value *FalseVal, Value *&LHS, Value *&RHS,
    730       Instruction::CastOps *CastOp = nullptr, unsigned Depth = 0);
    731 
    732   /// Return the canonical comparison predicate for the specified
    733   /// minimum/maximum flavor.
    734   CmpInst::Predicate getMinMaxPred(SelectPatternFlavor SPF,
    735                                    bool Ordered = false);
    736 
    737   /// Return the inverse minimum/maximum flavor of the specified flavor.
    738   /// For example, signed minimum is the inverse of signed maximum.
    739   SelectPatternFlavor getInverseMinMaxFlavor(SelectPatternFlavor SPF);
    740 
    741   Intrinsic::ID getInverseMinMaxIntrinsic(Intrinsic::ID MinMaxID);
    742 
    743   /// Return the canonical inverse comparison predicate for the specified
    744   /// minimum/maximum flavor.
    745   CmpInst::Predicate getInverseMinMaxPred(SelectPatternFlavor SPF);
    746 
    747   /// Check if the values in \p VL are select instructions that can be converted
    748   /// to a min or max (vector) intrinsic. Returns the intrinsic ID, if such a
    749   /// conversion is possible, together with a bool indicating whether all select
    750   /// conditions are only used by the selects. Otherwise return
    751   /// Intrinsic::not_intrinsic.
    752   std::pair<Intrinsic::ID, bool>
    753   canConvertToMinOrMaxIntrinsic(ArrayRef<Value *> VL);
    754 
    755   /// Attempt to match a simple first order recurrence cycle of the form:
    756   ///   %iv = phi Ty [%Start, %Entry], [%Inc, %backedge]
    757   ///   %inc = binop %iv, %step
    758   /// OR
    759   ///   %iv = phi Ty [%Start, %Entry], [%Inc, %backedge]
    760   ///   %inc = binop %step, %iv
    761   ///
    762   /// A first order recurrence is a formula with the form: X_n = f(X_(n-1))
    763   ///
    764   /// A couple of notes on subtleties in that definition:
    765   /// * The Step does not have to be loop invariant.  In math terms, it can
    766   ///   be a free variable.  We allow recurrences with both constant and
    767   ///   variable coefficients. Callers may wish to filter cases where Step
    768   ///   does not dominate P.
    769   /// * For non-commutative operators, we will match both forms.  This
    770   ///   results in some odd recurrence structures.  Callers may wish to filter
    771   ///   out recurrences where the phi is not the LHS of the returned operator.
    772   /// * Because of the structure matched, the caller can assume as a post
    773   ///   condition of the match the presence of a Loop with P's parent as it's
    774   ///   header *except* in unreachable code.  (Dominance decays in unreachable
    775   ///   code.)
    776   ///
    777   /// NOTE: This is intentional simple.  If you want the ability to analyze
    778   /// non-trivial loop conditons, see ScalarEvolution instead.
    779   bool matchSimpleRecurrence(const PHINode *P, BinaryOperator *&BO,
    780                              Value *&Start, Value *&Step);
    781 
    782   /// Analogous to the above, but starting from the binary operator
    783   bool matchSimpleRecurrence(const BinaryOperator *I, PHINode *&P,
    784                                     Value *&Start, Value *&Step);
    785 
    786   /// Return true if RHS is known to be implied true by LHS.  Return false if
    787   /// RHS is known to be implied false by LHS.  Otherwise, return None if no
    788   /// implication can be made.
    789   /// A & B must be i1 (boolean) values or a vector of such values. Note that
    790   /// the truth table for implication is the same as <=u on i1 values (but not
    791   /// <=s!).  The truth table for both is:
    792   ///    | T | F (B)
    793   ///  T | T | F
    794   ///  F | T | T
    795   /// (A)
    796   Optional<bool> isImpliedCondition(const Value *LHS, const Value *RHS,
    797                                     const DataLayout &DL, bool LHSIsTrue = true,
    798                                     unsigned Depth = 0);
    799   Optional<bool> isImpliedCondition(const Value *LHS,
    800                                     CmpInst::Predicate RHSPred,
    801                                     const Value *RHSOp0, const Value *RHSOp1,
    802                                     const DataLayout &DL, bool LHSIsTrue = true,
    803                                     unsigned Depth = 0);
    804 
    805   /// Return the boolean condition value in the context of the given instruction
    806   /// if it is known based on dominating conditions.
    807   Optional<bool> isImpliedByDomCondition(const Value *Cond,
    808                                          const Instruction *ContextI,
    809                                          const DataLayout &DL);
    810   Optional<bool> isImpliedByDomCondition(CmpInst::Predicate Pred,
    811                                          const Value *LHS, const Value *RHS,
    812                                          const Instruction *ContextI,
    813                                          const DataLayout &DL);
    814 
    815   /// If Ptr1 is provably equal to Ptr2 plus a constant offset, return that
    816   /// offset. For example, Ptr1 might be &A[42], and Ptr2 might be &A[40]. In
    817   /// this case offset would be -8.
    818   Optional<int64_t> isPointerOffset(const Value *Ptr1, const Value *Ptr2,
    819                                     const DataLayout &DL);
    820 } // end namespace llvm
    821 
    822 #endif // LLVM_ANALYSIS_VALUETRACKING_H
    823