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      1 //===-- llvm/Support/ConstantRange.h - Represent a range --------*- C++ -*-===//
      2 //
      3 //                     The LLVM Compiler Infrastructure
      4 //
      5 // This file is distributed under the University of Illinois Open Source
      6 // License. See LICENSE.TXT for details.
      7 //
      8 //===----------------------------------------------------------------------===//
      9 //
     10 // Represent a range of possible values that may occur when the program is run
     11 // for an integral value.  This keeps track of a lower and upper bound for the
     12 // constant, which MAY wrap around the end of the numeric range.  To do this, it
     13 // keeps track of a [lower, upper) bound, which specifies an interval just like
     14 // STL iterators.  When used with boolean values, the following are important
     15 // ranges: :
     16 //
     17 //  [F, F) = {}     = Empty set
     18 //  [T, F) = {T}
     19 //  [F, T) = {F}
     20 //  [T, T) = {F, T} = Full set
     21 //
     22 // The other integral ranges use min/max values for special range values. For
     23 // example, for 8-bit types, it uses:
     24 // [0, 0)     = {}       = Empty set
     25 // [255, 255) = {0..255} = Full Set
     26 //
     27 // Note that ConstantRange can be used to represent either signed or
     28 // unsigned ranges.
     29 //
     30 //===----------------------------------------------------------------------===//
     31 
     32 #ifndef LLVM_SUPPORT_CONSTANTRANGE_H
     33 #define LLVM_SUPPORT_CONSTANTRANGE_H
     34 
     35 #include "llvm/ADT/APInt.h"
     36 #include "llvm/Support/DataTypes.h"
     37 
     38 namespace llvm {
     39 
     40 /// ConstantRange - This class represents an range of values.
     41 ///
     42 class ConstantRange {
     43   APInt Lower, Upper;
     44 
     45 #if LLVM_HAS_RVALUE_REFERENCES
     46   // If we have move semantics, pass APInts by value and move them into place.
     47   typedef APInt APIntMoveTy;
     48 #else
     49   // Otherwise pass by const ref to save one copy.
     50   typedef const APInt &APIntMoveTy;
     51 #endif
     52 
     53 public:
     54   /// Initialize a full (the default) or empty set for the specified bit width.
     55   ///
     56   explicit ConstantRange(uint32_t BitWidth, bool isFullSet = true);
     57 
     58   /// Initialize a range to hold the single specified value.
     59   ///
     60   ConstantRange(APIntMoveTy Value);
     61 
     62   /// @brief Initialize a range of values explicitly. This will assert out if
     63   /// Lower==Upper and Lower != Min or Max value for its type. It will also
     64   /// assert out if the two APInt's are not the same bit width.
     65   ConstantRange(APIntMoveTy Lower, APIntMoveTy Upper);
     66 
     67   /// makeICmpRegion - Produce the smallest range that contains all values that
     68   /// might satisfy the comparison specified by Pred when compared to any value
     69   /// contained within Other.
     70   ///
     71   /// Solves for range X in 'for all x in X, there exists a y in Y such that
     72   /// icmp op x, y is true'. Every value that might make the comparison true
     73   /// is included in the resulting range.
     74   static ConstantRange makeICmpRegion(unsigned Pred,
     75                                       const ConstantRange &Other);
     76 
     77   /// getLower - Return the lower value for this range...
     78   ///
     79   const APInt &getLower() const { return Lower; }
     80 
     81   /// getUpper - Return the upper value for this range...
     82   ///
     83   const APInt &getUpper() const { return Upper; }
     84 
     85   /// getBitWidth - get the bit width of this ConstantRange
     86   ///
     87   uint32_t getBitWidth() const { return Lower.getBitWidth(); }
     88 
     89   /// isFullSet - Return true if this set contains all of the elements possible
     90   /// for this data-type
     91   ///
     92   bool isFullSet() const;
     93 
     94   /// isEmptySet - Return true if this set contains no members.
     95   ///
     96   bool isEmptySet() const;
     97 
     98   /// isWrappedSet - Return true if this set wraps around the top of the range,
     99   /// for example: [100, 8)
    100   ///
    101   bool isWrappedSet() const;
    102 
    103   /// isSignWrappedSet - Return true if this set wraps around the INT_MIN of
    104   /// its bitwidth, for example: i8 [120, 140).
    105   ///
    106   bool isSignWrappedSet() const;
    107 
    108   /// contains - Return true if the specified value is in the set.
    109   ///
    110   bool contains(const APInt &Val) const;
    111 
    112   /// contains - Return true if the other range is a subset of this one.
    113   ///
    114   bool contains(const ConstantRange &CR) const;
    115 
    116   /// getSingleElement - If this set contains a single element, return it,
    117   /// otherwise return null.
    118   ///
    119   const APInt *getSingleElement() const {
    120     if (Upper == Lower + 1)
    121       return &Lower;
    122     return 0;
    123   }
    124 
    125   /// isSingleElement - Return true if this set contains exactly one member.
    126   ///
    127   bool isSingleElement() const { return getSingleElement() != 0; }
    128 
    129   /// getSetSize - Return the number of elements in this set.
    130   ///
    131   APInt getSetSize() const;
    132 
    133   /// getUnsignedMax - Return the largest unsigned value contained in the
    134   /// ConstantRange.
    135   ///
    136   APInt getUnsignedMax() const;
    137 
    138   /// getUnsignedMin - Return the smallest unsigned value contained in the
    139   /// ConstantRange.
    140   ///
    141   APInt getUnsignedMin() const;
    142 
    143   /// getSignedMax - Return the largest signed value contained in the
    144   /// ConstantRange.
    145   ///
    146   APInt getSignedMax() const;
    147 
    148   /// getSignedMin - Return the smallest signed value contained in the
    149   /// ConstantRange.
    150   ///
    151   APInt getSignedMin() const;
    152 
    153   /// operator== - Return true if this range is equal to another range.
    154   ///
    155   bool operator==(const ConstantRange &CR) const {
    156     return Lower == CR.Lower && Upper == CR.Upper;
    157   }
    158   bool operator!=(const ConstantRange &CR) const {
    159     return !operator==(CR);
    160   }
    161 
    162   /// subtract - Subtract the specified constant from the endpoints of this
    163   /// constant range.
    164   ConstantRange subtract(const APInt &CI) const;
    165 
    166   /// \brief Subtract the specified range from this range (aka relative
    167   /// complement of the sets).
    168   ConstantRange difference(const ConstantRange &CR) const;
    169 
    170   /// intersectWith - Return the range that results from the intersection of
    171   /// this range with another range.  The resultant range is guaranteed to
    172   /// include all elements contained in both input ranges, and to have the
    173   /// smallest possible set size that does so.  Because there may be two
    174   /// intersections with the same set size, A.intersectWith(B) might not
    175   /// be equal to B.intersectWith(A).
    176   ///
    177   ConstantRange intersectWith(const ConstantRange &CR) const;
    178 
    179   /// unionWith - Return the range that results from the union of this range
    180   /// with another range.  The resultant range is guaranteed to include the
    181   /// elements of both sets, but may contain more.  For example, [3, 9) union
    182   /// [12,15) is [3, 15), which includes 9, 10, and 11, which were not included
    183   /// in either set before.
    184   ///
    185   ConstantRange unionWith(const ConstantRange &CR) const;
    186 
    187   /// zeroExtend - Return a new range in the specified integer type, which must
    188   /// be strictly larger than the current type.  The returned range will
    189   /// correspond to the possible range of values if the source range had been
    190   /// zero extended to BitWidth.
    191   ConstantRange zeroExtend(uint32_t BitWidth) const;
    192 
    193   /// signExtend - Return a new range in the specified integer type, which must
    194   /// be strictly larger than the current type.  The returned range will
    195   /// correspond to the possible range of values if the source range had been
    196   /// sign extended to BitWidth.
    197   ConstantRange signExtend(uint32_t BitWidth) const;
    198 
    199   /// truncate - Return a new range in the specified integer type, which must be
    200   /// strictly smaller than the current type.  The returned range will
    201   /// correspond to the possible range of values if the source range had been
    202   /// truncated to the specified type.
    203   ConstantRange truncate(uint32_t BitWidth) const;
    204 
    205   /// zextOrTrunc - make this range have the bit width given by \p BitWidth. The
    206   /// value is zero extended, truncated, or left alone to make it that width.
    207   ConstantRange zextOrTrunc(uint32_t BitWidth) const;
    208 
    209   /// sextOrTrunc - make this range have the bit width given by \p BitWidth. The
    210   /// value is sign extended, truncated, or left alone to make it that width.
    211   ConstantRange sextOrTrunc(uint32_t BitWidth) const;
    212 
    213   /// add - Return a new range representing the possible values resulting
    214   /// from an addition of a value in this range and a value in \p Other.
    215   ConstantRange add(const ConstantRange &Other) const;
    216 
    217   /// sub - Return a new range representing the possible values resulting
    218   /// from a subtraction of a value in this range and a value in \p Other.
    219   ConstantRange sub(const ConstantRange &Other) const;
    220 
    221   /// multiply - Return a new range representing the possible values resulting
    222   /// from a multiplication of a value in this range and a value in \p Other.
    223   /// TODO: This isn't fully implemented yet.
    224   ConstantRange multiply(const ConstantRange &Other) const;
    225 
    226   /// smax - Return a new range representing the possible values resulting
    227   /// from a signed maximum of a value in this range and a value in \p Other.
    228   ConstantRange smax(const ConstantRange &Other) const;
    229 
    230   /// umax - Return a new range representing the possible values resulting
    231   /// from an unsigned maximum of a value in this range and a value in \p Other.
    232   ConstantRange umax(const ConstantRange &Other) const;
    233 
    234   /// udiv - Return a new range representing the possible values resulting
    235   /// from an unsigned division of a value in this range and a value in
    236   /// \p Other.
    237   ConstantRange udiv(const ConstantRange &Other) const;
    238 
    239   /// binaryAnd - return a new range representing the possible values resulting
    240   /// from a binary-and of a value in this range by a value in \p Other.
    241   ConstantRange binaryAnd(const ConstantRange &Other) const;
    242 
    243   /// binaryOr - return a new range representing the possible values resulting
    244   /// from a binary-or of a value in this range by a value in \p Other.
    245   ConstantRange binaryOr(const ConstantRange &Other) const;
    246 
    247   /// shl - Return a new range representing the possible values resulting
    248   /// from a left shift of a value in this range by a value in \p Other.
    249   /// TODO: This isn't fully implemented yet.
    250   ConstantRange shl(const ConstantRange &Other) const;
    251 
    252   /// lshr - Return a new range representing the possible values resulting
    253   /// from a logical right shift of a value in this range and a value in
    254   /// \p Other.
    255   ConstantRange lshr(const ConstantRange &Other) const;
    256 
    257   /// inverse - Return a new range that is the logical not of the current set.
    258   ///
    259   ConstantRange inverse() const;
    260 
    261   /// print - Print out the bounds to a stream...
    262   ///
    263   void print(raw_ostream &OS) const;
    264 
    265   /// dump - Allow printing from a debugger easily...
    266   ///
    267   void dump() const;
    268 };
    269 
    270 inline raw_ostream &operator<<(raw_ostream &OS, const ConstantRange &CR) {
    271   CR.print(OS);
    272   return OS;
    273 }
    274 
    275 } // End llvm namespace
    276 
    277 #endif
    278