[llvm-commits] [llvm] r75177 - in /llvm/trunk: include/llvm/Support/ConstantRange.h lib/Support/ConstantRange.cpp unittests/Support/ConstantRangeTest.cpp

Nick Lewycky nlewycky at google.com
Thu Jul 9 15:19:32 PDT 2009


2009/7/9 Dan Gohman <gohman at apple.com>

> Author: djg
> Date: Thu Jul  9 17:07:27 2009
> New Revision: 75177
>
> URL: http://llvm.org/viewvc/llvm-project?rev=75177&view=rev
> Log:
> Add a ConstantSignedRange class, which does for signed integers
> what ConstantRange does for unsigned integers. Factor out a
> common base class for common functionality.
>

Hi Dan, I removed the last vestiges of signedness from ConstantRange a long
time ago. There is no fundamental distinction between an unsigned or signed
constant range because of the wrap around behaviour (ie. setting 'min' to a
value ugt 'max'). If you're not clear on why this works, try drawing out
examples on a whiteboard, or failing that talk with me on IRC.

Please revert this patch.

Nick


> Add some new functions for performing arithmetic on constant
> ranges. Some of these are currently just stubbed out with
> conservative implementations.
>
> Add unittests for ConstantRange and ConstantSignedRange.
>
> Added:
>    llvm/trunk/unittests/Support/ConstantRangeTest.cpp
> Modified:
>    llvm/trunk/include/llvm/Support/ConstantRange.h
>    llvm/trunk/lib/Support/ConstantRange.cpp
>
> Modified: llvm/trunk/include/llvm/Support/ConstantRange.h
> URL:
> http://llvm.org/viewvc/llvm-project/llvm/trunk/include/llvm/Support/ConstantRange.h?rev=75177&r1=75176&r2=75177&view=diff
>
>
> ==============================================================================
> --- llvm/trunk/include/llvm/Support/ConstantRange.h (original)
> +++ llvm/trunk/include/llvm/Support/ConstantRange.h Thu Jul  9 17:07:27
> 2009
> @@ -24,7 +24,9 @@
>  // [0, 0)     = {}       = Empty set
>  // [255, 255) = {0..255} = Full Set
>  //
> -// Note that ConstantRange always keeps unsigned values.
> +// Note that ConstantRange always keeps unsigned values, and
> +// ConstantSignedRange always keeps signed values.
> +//
>
>  //===----------------------------------------------------------------------===//
>
>  #ifndef LLVM_SUPPORT_CONSTANT_RANGE_H
> @@ -35,24 +37,22 @@
>
>  namespace llvm {
>
> -class ConstantRange {
> +/// ConstantRangeBase - A base class for ConstantRange and
> ConstantSignedRange.
> +/// This class implements functionality common to both.
> +class ConstantRangeBase {
> +protected:
>   APInt Lower, Upper;
> -  static ConstantRange intersect1Wrapped(const ConstantRange &LHS,
> -                                         const ConstantRange &RHS);
> - public:
> -  /// Initialize a full (the default) or empty set for the specified bit
> width.
> -  ///
> -  explicit ConstantRange(uint32_t BitWidth, bool isFullSet = true);
>
>   /// Initialize a range to hold the single specified value.
>   ///
> -  ConstantRange(const APInt &Value);
> +  ConstantRangeBase(const APInt &Value);
>
>   /// @brief Initialize a range of values explicitly. This will assert out
> if
>   /// Lower==Upper and Lower != Min or Max value for its type. It will also
>   /// assert out if the two APInt's are not the same bit width.
> -  ConstantRange(const APInt& Lower, const APInt& Upper);
> +  ConstantRangeBase(const APInt& Lower, const APInt& Upper);
>
> +public:
>   /// getLower - Return the lower value for this range...
>   ///
>   const APInt &getLower() const { return Lower; }
> @@ -65,6 +65,56 @@
>   ///
>   uint32_t getBitWidth() const { return Lower.getBitWidth(); }
>
> +  /// getSingleElement - If this set contains a single element, return it,
> +  /// otherwise return null.
> +  ///
> +  const APInt *getSingleElement() const {
> +    if (Upper == Lower + 1)
> +      return &Lower;
> +    return 0;
> +  }
> +
> +  /// isSingleElement - Return true if this set contains exactly one
> member.
> +  ///
> +  bool isSingleElement() const { return getSingleElement() != 0; }
> +
> +  /// operator== - Return true if this range is equal to another range.
> +  ///
> +  bool operator==(const ConstantRangeBase &CR) const {
> +    return Lower == CR.Lower && Upper == CR.Upper;
> +  }
> +  bool operator!=(const ConstantRangeBase &CR) const {
> +    return !operator==(CR);
> +  }
> +
> +  /// print - Print out the bounds to a stream...
> +  ///
> +  void print(raw_ostream &OS) const;
> +
> +  /// dump - Allow printing from a debugger easily...
> +  ///
> +  void dump() const;
> +};
> +
> +/// ConstantRange - This class represents an range of unsigned values.
> +///
> +class ConstantRange : public ConstantRangeBase {
> +  static ConstantRange intersect1Wrapped(const ConstantRange &LHS,
> +                                         const ConstantRange &RHS);
> +public:
> +  /// Initialize a full (the default) or empty set for the specified bit
> width.
> +  ///
> +  explicit ConstantRange(uint32_t BitWidth, bool isFullSet = true);
> +
> +  /// Initialize a range to hold the single specified value.
> +  ///
> +  ConstantRange(const APInt &Value);
> +
> +  /// @brief Initialize a range of values explicitly. This will assert out
> if
> +  /// Lower==Upper and Lower != Min or Max value for its type. It will
> also
> +  /// assert out if the two APInt's are not the same bit width.
> +  ConstantRange(const APInt& Lower, const APInt& Upper);
> +
>   /// isFullSet - Return true if this set contains all of the elements
> possible
>   /// for this data-type
>   ///
> @@ -83,19 +133,6 @@
>   ///
>   bool contains(const APInt &Val) const;
>
> -  /// getSingleElement - If this set contains a single element, return it,
> -  /// otherwise return null.
> -  ///
> -  const APInt *getSingleElement() const {
> -    if (Upper == Lower + 1)
> -      return &Lower;
> -    return 0;
> -  }
> -
> -  /// isSingleElement - Return true if this set contains exactly one
> member.
> -  ///
> -  bool isSingleElement() const { return getSingleElement() != 0; }
> -
>   /// getSetSize - Return the number of elements in this set.
>   ///
>   APInt getSetSize() const;
> @@ -120,15 +157,6 @@
>   ///
>   APInt getSignedMin() const;
>
> -  /// operator== - Return true if this range is equal to another range.
> -  ///
> -  bool operator==(const ConstantRange &CR) const {
> -    return Lower == CR.Lower && Upper == CR.Upper;
> -  }
> -  bool operator!=(const ConstantRange &CR) const {
> -    return !operator==(CR);
> -  }
> -
>   /// subtract - Subtract the specified constant from the endpoints of this
>   /// constant range.
>   ConstantRange subtract(const APInt &CI) const;
> @@ -176,20 +204,170 @@
>   /// truncated to the specified type.
>   ConstantRange truncate(uint32_t BitWidth) const;
>
> -  /// print - Print out the bounds to a stream...
> +  /// add - Return a new range representing the possible values resulting
> +  /// from an addition of a value in this range and a value in Other.
> +  ConstantRange add(const ConstantRange &Other) const;
> +
> +  /// multiply - Return a new range representing the possible values
> resulting
> +  /// from a multiplication of a value in this range and a value in Other.
> +  /// TODO: This isn't fully implemented yet.
> +  ConstantRange multiply(const ConstantRange &Other) const;
> +
> +  /// smax - Return a new range representing the possible values resulting
> +  /// from a signed maximum of a value in this range and a value in Other.
> +  /// TODO: This isn't fully implemented yet.
> +  ConstantRange smax(const ConstantRange &Other) const;
> +
> +  /// umax - Return a new range representing the possible values resulting
> +  /// from an unsigned maximum of a value in this range and a value in
> Other.
> +  ConstantRange umax(const ConstantRange &Other) const;
> +
> +  /// udiv - Return a new range representing the possible values resulting
> +  /// from an unsigned division of a value in this range and a value in
> Other.
> +  /// TODO: This isn't fully implemented yet.
> +  ConstantRange udiv(const ConstantRange &Other) const;
> +};
> +
> +/// ConstantRange - This class represents an range of signed values.
> +///
> +class ConstantSignedRange : public ConstantRangeBase {
> +  static ConstantSignedRange intersect1Wrapped(const ConstantSignedRange
> &LHS,
> +                                               const ConstantSignedRange
> &RHS);
> +public:
> +  /// Initialize a full (the default) or empty set for the specified bit
> width.
>   ///
> -  void print(raw_ostream &OS) const;
> +  explicit ConstantSignedRange(uint32_t BitWidth, bool isFullSet = true);
>
> -  /// dump - Allow printing from a debugger easily...
> +  /// Initialize a range to hold the single specified value.
>   ///
> -  void dump() const;
> +  ConstantSignedRange(const APInt &Value);
> +
> +  /// @brief Initialize a range of values explicitly. This will assert out
> if
> +  /// Lower==Upper and Lower != Min or Max value for its type. It will
> also
> +  /// assert out if the two APInt's are not the same bit width.
> +  ConstantSignedRange(const APInt& Lower, const APInt& Upper);
> +
> +  /// isFullSet - Return true if this set contains all of the elements
> possible
> +  /// for this data-type
> +  ///
> +  bool isFullSet() const;
> +
> +  /// isEmptySet - Return true if this set contains no members.
> +  ///
> +  bool isEmptySet() const;
> +
> +  /// isWrappedSet - Return true if this set wraps around the top of the
> range,
> +  /// for example: [100, 8)
> +  ///
> +  bool isWrappedSet() const;
> +
> +  /// contains - Return true if the specified value is in the set.
> +  ///
> +  bool contains(const APInt &Val) const;
> +
> +  /// getSetSize - Return the number of elements in this set.
> +  ///
> +  APInt getSetSize() const;
> +
> +  /// getUnsignedMax - Return the largest unsigned value contained in the
> +  /// ConstantSignedRange.
> +  ///
> +  APInt getUnsignedMax() const;
> +
> +  /// getUnsignedMin - Return the smallest unsigned value contained in the
> +  /// ConstantSignedRange.
> +  ///
> +  APInt getUnsignedMin() const;
> +
> +  /// getSignedMax - Return the largest signed value contained in the
> +  /// ConstantSignedRange.
> +  ///
> +  APInt getSignedMax() const;
> +
> +  /// getSignedMin - Return the smallest signed value contained in the
> +  /// ConstantSignedRange.
> +  ///
> +  APInt getSignedMin() const;
> +
> +  /// subtract - Subtract the specified constant from the endpoints of
> this
> +  /// constant range.
> +  ConstantSignedRange subtract(const APInt &CI) const;
> +
> +  /// intersectWith - Return the range that results from the intersection
> of
> +  /// this range with another range.  The resultant range is pruned as
> much as
> +  /// possible, but there may be cases where elements are included that
> are in
> +  /// one of the sets but not the other.  For example: [100, 8) intersect
> [3,
> +  /// 120) yields [3, 120)
> +  ///
> +  ConstantSignedRange intersectWith(const ConstantSignedRange &CR) const;
> +
> +  /// maximalIntersectWith - Return the range that results from the
> intersection
> +  /// of this range with another range.  The resultant range is guaranteed
> to
> +  /// include all elements contained in both input ranges, and to have the
> +  /// smallest possible set size that does so.  Because there may be two
> +  /// intersections with the same set size, A.maximalIntersectWith(B)
> might not
> +  /// be equal to B.maximalIntersectWith(A).
> +  ///
> +  ConstantSignedRange maximalIntersectWith(const ConstantSignedRange &CR)
> const;
> +
> +  /// unionWith - Return the range that results from the union of this
> range
> +  /// with another range.  The resultant range is guaranteed to include
> the
> +  /// elements of both sets, but may contain more.  For example, [3, 9)
> union
> +  /// [12,15) is [3, 15), which includes 9, 10, and 11, which were not
> included
> +  /// in either set before.
> +  ///
> +  ConstantSignedRange unionWith(const ConstantSignedRange &CR) const;
> +
> +  /// zeroExtend - Return a new range in the specified integer type, which
> must
> +  /// be strictly larger than the current type.  The returned range will
> +  /// correspond to the possible range of values if the source range had
> been
> +  /// zero extended to BitWidth.
> +  ConstantSignedRange zeroExtend(uint32_t BitWidth) const;
> +
> +  /// signExtend - Return a new range in the specified integer type, which
> must
> +  /// be strictly larger than the current type.  The returned range will
> +  /// correspond to the possible range of values if the source range had
> been
> +  /// sign extended to BitWidth.
> +  ConstantSignedRange signExtend(uint32_t BitWidth) const;
> +
> +  /// truncate - Return a new range in the specified integer type, which
> must be
> +  /// strictly smaller than the current type.  The returned range will
> +  /// correspond to the possible range of values if the source range had
> been
> +  /// truncated to the specified type.
> +  ConstantSignedRange truncate(uint32_t BitWidth) const;
> +
> +  /// add - Return a new range representing the possible values resulting
> +  /// from an addition of a value in this range and a value in Other.
> +  /// TODO: This isn't fully implemented yet.
> +  ConstantSignedRange add(const ConstantSignedRange &Other) const;
> +
> +  /// multiply - Return a new range representing the possible values
> resulting
> +  /// from a multiplication of a value in this range and a value in Other.
> +  /// TODO: This isn't fully implemented yet.
> +  ConstantSignedRange multiply(const ConstantSignedRange &Other) const;
> +
> +  /// smax - Return a new range representing the possible values resulting
> +  /// from a signed maximum of a value in this range and a value in Other.
> +  ConstantSignedRange smax(const ConstantSignedRange &Other) const;
> +
> +  /// umax - Return a new range representing the possible values resulting
> +  /// from an unsigned maximum of a value in this range and a value in
> Other.
> +  /// TODO: This isn't fully implemented yet.
> +  ConstantSignedRange umax(const ConstantSignedRange &Other) const;
> +
> +  /// udiv - Return a new range representing the possible values resulting
> +  /// from an unsigned division of a value in this range and a value in
> Other.
> +  /// TODO: This isn't fully implemented yet.
> +  ConstantSignedRange udiv(const ConstantSignedRange &Other) const;
>  };
>
> -inline raw_ostream &operator<<(raw_ostream &OS, const ConstantRange &CR) {
> +inline raw_ostream &operator<<(raw_ostream &OS, const ConstantRangeBase
> &CR) {
>   CR.print(OS);
>   return OS;
>  }
>
> +std::ostream &operator<<(std::ostream &OS, const ConstantRangeBase &CR);
> +
>  } // End llvm namespace
>
>  #endif
>
> Modified: llvm/trunk/lib/Support/ConstantRange.cpp
> URL:
> http://llvm.org/viewvc/llvm-project/llvm/trunk/lib/Support/ConstantRange.cpp?rev=75177&r1=75176&r2=75177&view=diff
>
>
> ==============================================================================
> --- llvm/trunk/lib/Support/ConstantRange.cpp (original)
> +++ llvm/trunk/lib/Support/ConstantRange.cpp Thu Jul  9 17:07:27 2009
> @@ -25,10 +25,40 @@
>  #include "llvm/Support/raw_ostream.h"
>  using namespace llvm;
>
> +/// Initialize a range to hold the single specified value.
> +///
> +ConstantRangeBase::ConstantRangeBase(const APInt & V)
> +  : Lower(V), Upper(V + 1) {}
> +
> +ConstantRangeBase::ConstantRangeBase(const APInt &L, const APInt &U)
> +  : Lower(L), Upper(U) {
> +  assert(L.getBitWidth() == U.getBitWidth() &&
> +         "ConstantRange with unequal bit widths");
> +}
> +
> +/// print - Print out the bounds to a stream...
> +///
> +void ConstantRangeBase::print(raw_ostream &OS) const {
> +  OS << "[" << Lower << "," << Upper << ")";
> +}
> +
> +/// dump - Allow printing from a debugger easily...
> +///
> +void ConstantRangeBase::dump() const {
> +  print(errs());
> +}
> +
> +std::ostream &llvm::operator<<(std::ostream &o,
> +                               const ConstantRangeBase &CR) {
> +  raw_os_ostream OS(o);
> +  OS << CR;
> +  return o;
> +}
> +
>  /// Initialize a full (the default) or empty set for the specified type.
>  ///
>  ConstantRange::ConstantRange(uint32_t BitWidth, bool Full) :
> -  Lower(BitWidth, 0), Upper(BitWidth, 0) {
> +  ConstantRangeBase(APInt(BitWidth, 0), APInt(BitWidth, 0)) {
>   if (Full)
>     Lower = Upper = APInt::getMaxValue(BitWidth);
>   else
> @@ -37,12 +67,10 @@
>
>  /// Initialize a range to hold the single specified value.
>  ///
> -ConstantRange::ConstantRange(const APInt & V) : Lower(V), Upper(V + 1) { }
> +ConstantRange::ConstantRange(const APInt & V) : ConstantRangeBase(V) {}
>
> -ConstantRange::ConstantRange(const APInt &L, const APInt &U) :
> -  Lower(L), Upper(U) {
> -  assert(L.getBitWidth() == U.getBitWidth() &&
> -         "ConstantRange with unequal bit widths");
> +ConstantRange::ConstantRange(const APInt &L, const APInt &U)
> +  : ConstantRangeBase(L, U) {
>   assert((L != U || (L.isMaxValue() || L.isMinValue())) &&
>          "Lower == Upper, but they aren't min or max value!");
>  }
> @@ -221,9 +249,8 @@
>
>   if (!isWrappedSet()) {
>     if (!CR.isWrappedSet()) {
> -      using namespace APIntOps;
> -      APInt L = umax(Lower, CR.Lower);
> -      APInt U = umin(Upper, CR.Upper);
> +      APInt L = APIntOps::umax(Lower, CR.Lower);
> +      APInt U = APIntOps::umin(Upper, CR.Upper);
>
>       if (L.ult(U)) // If range isn't empty...
>         return ConstantRange(L, U);
> @@ -236,9 +263,8 @@
>       return intersect1Wrapped(*this, CR);
>     else {
>       // Both ranges are wrapped...
> -      using namespace APIntOps;
> -      APInt L = umax(Lower, CR.Lower);
> -      APInt U = umin(Upper, CR.Upper);
> +      APInt L = APIntOps::umax(Lower, CR.Lower);
> +      APInt U = APIntOps::umin(Upper, CR.Upper);
>       return ConstantRange(L, U);
>     }
>   }
> @@ -251,7 +277,8 @@
>  /// smallest possible set size that does so.  Because there may be two
>  /// intersections with the same set size, A.maximalIntersectWith(B) might
> not
>  /// be equal to B.maximalIntersect(A).
> -ConstantRange ConstantRange::maximalIntersectWith(const ConstantRange &CR)
> const {
> +ConstantRange
> +ConstantRange::maximalIntersectWith(const ConstantRange &CR) const {
>   assert(getBitWidth() == CR.getBitWidth() &&
>          "ConstantRange types don't agree!");
>
> @@ -459,14 +486,540 @@
>   return ConstantRange(L, U);
>  }
>
> -/// print - Print out the bounds to a stream...
> +ConstantRange
> +ConstantRange::add(const ConstantRange &Other) const {
> +  if (isEmptySet() || Other.isEmptySet())
> +    return ConstantRange(getBitWidth(), /*isFullSet=*/false);
> +
> +  APInt Spread_X = getSetSize(), Spread_Y = Other.getSetSize();
> +  APInt NewLower = getLower() + Other.getLower();
> +  APInt NewUpper = getUpper() + Other.getUpper() - 1;
> +  if (NewLower == NewUpper)
> +    return ConstantRange(getBitWidth(), /*isFullSet=*/true);
> +
> +  ConstantRange X = ConstantRange(NewLower, NewUpper);
> +  if (X.getSetSize().ult(Spread_X) || X.getSetSize().ult(Spread_Y))
> +    // We've wrapped, therefore, full set.
> +    return ConstantRange(getBitWidth(), /*isFullSet=*/true);
> +
> +  return X;
> +}
> +
> +ConstantRange
> +ConstantRange::multiply(const ConstantRange &Other) const {
> +  // TODO: Implement multiply.
> +  return ConstantRange(getBitWidth(),
> +                       !(isEmptySet() || Other.isEmptySet()));
> +}
> +
> +ConstantRange
> +ConstantRange::smax(const ConstantRange &Other) const {
> +  // TODO: Implement smax.
> +  return ConstantRange(getBitWidth(),
> +                       !(isEmptySet() || Other.isEmptySet()));
> +}
> +
> +ConstantRange
> +ConstantRange::umax(const ConstantRange &Other) const {
> +  // X umax Y is: range(umax(X_umin, Y_umin),
> +  //                    umax(X_umax, Y_umax))
> +  if (isEmptySet() || Other.isEmptySet())
> +    return ConstantRange(getBitWidth(), /*isFullSet=*/false);
> +  if (isFullSet() || Other.isFullSet())
> +    return ConstantRange(getBitWidth(), /*isFullSet=*/true);
> +  APInt NewL = APIntOps::umax(getUnsignedMin(), Other.getUnsignedMin());
> +  APInt NewU = APIntOps::umax(getUnsignedMax(), Other.getUnsignedMax()) +
> 1;
> +  if (NewU == NewL)
> +    return ConstantRange(getBitWidth(), /*isFullSet=*/true);
> +  return ConstantRange(NewL, NewU);
> +}
> +
> +ConstantRange
> +ConstantRange::udiv(const ConstantRange &Other) const {
> +  // TODO: Implement udiv.
> +  return ConstantRange(getBitWidth(),
> +                       !(isEmptySet() || Other.isEmptySet()));
> +}
> +
> +/// Initialize a full (the default) or empty set for the specified type.
>  ///
> -void ConstantRange::print(raw_ostream &OS) const {
> -  OS << "[" << Lower << "," << Upper << ")";
> +ConstantSignedRange::ConstantSignedRange(uint32_t BitWidth, bool Full) :
> +  ConstantRangeBase(APInt(BitWidth, 0), APInt(BitWidth, 0)) {
> +  if (Full)
> +    Lower = Upper = APInt::getSignedMaxValue(BitWidth);
> +  else
> +    Lower = Upper = APInt::getSignedMinValue(BitWidth);
>  }
>
> -/// dump - Allow printing from a debugger easily...
> +/// Initialize a range to hold the single specified value.
>  ///
> -void ConstantRange::dump() const {
> -  print(errs());
> +ConstantSignedRange::ConstantSignedRange(const APInt & V)
> +  : ConstantRangeBase(V) {}
> +
> +ConstantSignedRange::ConstantSignedRange(const APInt &L, const APInt &U)
> +  : ConstantRangeBase(L, U) {
> +  assert((L != U || (L.isMaxSignedValue() || L.isMinSignedValue())) &&
> +         "Lower == Upper, but they aren't min or max value!");
> +}
> +
> +/// isFullSet - Return true if this set contains all of the elements
> possible
> +/// for this data-type
> +bool ConstantSignedRange::isFullSet() const {
> +  return Lower == Upper && Lower.isMaxSignedValue();
> +}
> +
> +/// isEmptySet - Return true if this set contains no members.
> +///
> +bool ConstantSignedRange::isEmptySet() const {
> +  return Lower == Upper && Lower.isMinSignedValue();
> +}
> +
> +/// isWrappedSet - Return true if this set wraps around the top of the
> range,
> +/// for example: [100, 8)
> +///
> +bool ConstantSignedRange::isWrappedSet() const {
> +  return Lower.sgt(Upper);
> +}
> +
> +/// getSetSize - Return the number of elements in this set.
> +///
> +APInt ConstantSignedRange::getSetSize() const {
> +  if (isEmptySet())
> +    return APInt(getBitWidth(), 0);
> +  if (getBitWidth() == 1) {
> +    if (Lower != Upper)  // One of T or F in the set...
> +      return APInt(2, 1);
> +    return APInt(2, 2);      // Must be full set...
> +  }
> +
> +  // Simply subtract the bounds...
> +  return Upper - Lower;
> +}
> +
> +/// getSignedMax - Return the largest signed value contained in the
> +/// ConstantSignedRange.
> +///
> +APInt ConstantSignedRange::getSignedMax() const {
> +  if (isFullSet() || isWrappedSet())
> +    return APInt::getSignedMaxValue(getBitWidth());
> +  else
> +    return getUpper() - 1;
> +}
> +
> +/// getSignedMin - Return the smallest signed value contained in the
> +/// ConstantSignedRange.
> +///
> +APInt ConstantSignedRange::getSignedMin() const {
> +  if (isFullSet() || (isWrappedSet() &&
> +                      getUpper() !=
> APInt::getSignedMinValue(getBitWidth())))
> +    return APInt::getSignedMinValue(getBitWidth());
> +  else
> +    return getLower();
> +}
> +
> +/// getUnsignedMax - Return the largest unsigned value contained in the
> +/// ConstantSignedRange.
> +///
> +APInt ConstantSignedRange::getUnsignedMax() const {
> +  APInt UnsignedMax(APInt::getMaxValue(getBitWidth()));
> +  if (!isWrappedSet()) {
> +    if (getLower().ule(getUpper() - 1))
> +      return getUpper() - 1;
> +    else
> +      return UnsignedMax;
> +  } else {
> +    if ((getUpper() - 1).ult(getLower())) {
> +      if (getLower() != UnsignedMax)
> +        return UnsignedMax;
> +      else
> +        return getUpper() - 1;
> +    } else {
> +      return getUpper() - 1;
> +    }
> +  }
> +}
> +
> +/// getUnsignedMin - Return the smallest unsigned value contained in the
> +/// ConstantSignedRange.
> +///
> +APInt ConstantSignedRange::getUnsignedMin() const {
> +  APInt UnsignedMin(APInt::getMinValue(getBitWidth()));
> +  if (!isWrappedSet()) {
> +    if (getLower().ule(getUpper() - 1))
> +      return getLower();
> +    else
> +      return UnsignedMin;
> +  } else {
> +    if ((getUpper() - 1).ult(getLower())) {
> +      if (getUpper() != UnsignedMin)
> +        return UnsignedMin;
> +      else
> +        return getLower();
> +    } else {
> +      return getLower();
> +    }
> +  }
> +}
> +
> +/// contains - Return true if the specified value is in the set.
> +///
> +bool ConstantSignedRange::contains(const APInt &V) const {
> +  if (Lower == Upper)
> +    return isFullSet();
> +
> +  if (!isWrappedSet())
> +    return Lower.sle(V) && V.slt(Upper);
> +  else
> +    return Lower.sle(V) || V.slt(Upper);
> +}
> +
> +/// subtract - Subtract the specified constant from the endpoints of this
> +/// constant range.
> +ConstantSignedRange ConstantSignedRange::subtract(const APInt &Val) const
> {
> +  assert(Val.getBitWidth() == getBitWidth() && "Wrong bit width");
> +  // If the set is empty or full, don't modify the endpoints.
> +  if (Lower == Upper)
> +    return *this;
> +  return ConstantSignedRange(Lower - Val, Upper - Val);
> +}
> +
> +
> +// intersect1Wrapped - This helper function is used to intersect two
> ranges when
> +// it is known that LHS is wrapped and RHS isn't.
> +//
> +ConstantSignedRange
> +ConstantSignedRange::intersect1Wrapped(const ConstantSignedRange &LHS,
> +                                 const ConstantSignedRange &RHS) {
> +  assert(LHS.isWrappedSet() && !RHS.isWrappedSet());
> +
> +  // Check to see if we overlap on the Left side of RHS...
> +  //
> +  if (RHS.Lower.slt(LHS.Upper)) {
> +    // We do overlap on the left side of RHS, see if we overlap on the
> right of
> +    // RHS...
> +    if (RHS.Upper.sgt(LHS.Lower)) {
> +      // Ok, the result overlaps on both the left and right sides.  See if
> the
> +      // resultant interval will be smaller if we wrap or not...
> +      //
> +      if (LHS.getSetSize().ult(RHS.getSetSize()))
> +        return LHS;
> +      else
> +        return RHS;
> +
> +    } else {
> +      // No overlap on the right, just on the left.
> +      return ConstantSignedRange(RHS.Lower, LHS.Upper);
> +    }
> +  } else {
> +    // We don't overlap on the left side of RHS, see if we overlap on the
> right
> +    // of RHS...
> +    if (RHS.Upper.sgt(LHS.Lower)) {
> +      // Simple overlap...
> +      return ConstantSignedRange(LHS.Lower, RHS.Upper);
> +    } else {
> +      // No overlap...
> +      return ConstantSignedRange(LHS.getBitWidth(), false);
> +    }
> +  }
> +}
> +
> +/// intersectWith - Return the range that results from the intersection of
> this
> +/// range with another range.
> +///
> +ConstantSignedRange
> +ConstantSignedRange::intersectWith(const ConstantSignedRange &CR) const {
> +  assert(getBitWidth() == CR.getBitWidth() &&
> +         "ConstantSignedRange types don't agree!");
> +  // Handle common special cases
> +  if (isEmptySet() || CR.isFullSet())
> +    return *this;
> +  if (isFullSet()  || CR.isEmptySet())
> +    return CR;
> +
> +  if (!isWrappedSet()) {
> +    if (!CR.isWrappedSet()) {
> +      APInt L = APIntOps::smax(Lower, CR.Lower);
> +      APInt U = APIntOps::smin(Upper, CR.Upper);
> +
> +      if (L.slt(U)) // If range isn't empty...
> +        return ConstantSignedRange(L, U);
> +      else
> +        return ConstantSignedRange(getBitWidth(), false);// Otherwise,
> empty set
> +    } else
> +      return intersect1Wrapped(CR, *this);
> +  } else {   // We know "this" is wrapped...
> +    if (!CR.isWrappedSet())
> +      return intersect1Wrapped(*this, CR);
> +    else {
> +      // Both ranges are wrapped...
> +      APInt L = APIntOps::smax(Lower, CR.Lower);
> +      APInt U = APIntOps::smin(Upper, CR.Upper);
> +      return ConstantSignedRange(L, U);
> +    }
> +  }
> +  return *this;
> +}
> +
> +/// maximalIntersectWith - Return the range that results from the
> intersection
> +/// of this range with another range.  The resultant range is guaranteed
> to
> +/// include all elements contained in both input ranges, and to have the
> +/// smallest possible set size that does so.  Because there may be two
> +/// intersections with the same set size, A.maximalIntersectWith(B) might
> not
> +/// be equal to B.maximalIntersect(A).
> +ConstantSignedRange
> +ConstantSignedRange::maximalIntersectWith(const ConstantSignedRange &CR)
> const {
> +  assert(getBitWidth() == CR.getBitWidth() &&
> +         "ConstantSignedRange types don't agree!");
> +
> +  // Handle common cases.
> +  if (   isEmptySet() || CR.isFullSet()) return *this;
> +  if (CR.isEmptySet() ||    isFullSet()) return CR;
> +
> +  if (!isWrappedSet() && CR.isWrappedSet())
> +    return CR.maximalIntersectWith(*this);
> +
> +  if (!isWrappedSet() && !CR.isWrappedSet()) {
> +    if (Lower.slt(CR.Lower)) {
> +      if (Upper.sle(CR.Lower))
> +        return ConstantSignedRange(getBitWidth(), false);
> +
> +      if (Upper.slt(CR.Upper))
> +        return ConstantSignedRange(CR.Lower, Upper);
> +
> +      return CR;
> +    } else {
> +      if (Upper.slt(CR.Upper))
> +        return *this;
> +
> +      if (Lower.slt(CR.Upper))
> +        return ConstantSignedRange(Lower, CR.Upper);
> +
> +      return ConstantSignedRange(getBitWidth(), false);
> +    }
> +  }
> +
> +  if (isWrappedSet() && !CR.isWrappedSet()) {
> +    if (CR.Lower.slt(Upper)) {
> +      if (CR.Upper.slt(Upper))
> +        return CR;
> +
> +      if (CR.Upper.slt(Lower))
> +        return ConstantSignedRange(CR.Lower, Upper);
> +
> +      if (getSetSize().ult(CR.getSetSize()))
> +        return *this;
> +      else
> +        return CR;
> +    } else if (CR.Lower.slt(Lower)) {
> +      if (CR.Upper.sle(Lower))
> +        return ConstantSignedRange(getBitWidth(), false);
> +
> +      return ConstantSignedRange(Lower, CR.Upper);
> +    }
> +    return CR;
> +  }
> +
> +  if (CR.Upper.slt(Upper)) {
> +    if (CR.Lower.slt(Upper)) {
> +      if (getSetSize().ult(CR.getSetSize()))
> +        return *this;
> +      else
> +        return CR;
> +    }
> +
> +    if (CR.Lower.slt(Lower))
> +      return ConstantSignedRange(Lower, CR.Upper);
> +
> +    return CR;
> +  } else if (CR.Upper.slt(Lower)) {
> +    if (CR.Lower.slt(Lower))
> +      return *this;
> +
> +    return ConstantSignedRange(CR.Lower, Upper);
> +  }
> +  if (getSetSize().ult(CR.getSetSize()))
> +    return *this;
> +  else
> +    return CR;
> +}
> +
> +
> +/// unionWith - Return the range that results from the union of this range
> with
> +/// another range.  The resultant range is guaranteed to include the
> elements of
> +/// both sets, but may contain more.  For example, [3, 9) union [12,15) is
> +/// [3, 15), which includes 9, 10, and 11, which were not included in
> either
> +/// set before.
> +///
> +ConstantSignedRange
> +ConstantSignedRange::unionWith(const ConstantSignedRange &CR) const {
> +  assert(getBitWidth() == CR.getBitWidth() &&
> +         "ConstantSignedRange types don't agree!");
> +
> +  if (   isFullSet() || CR.isEmptySet()) return *this;
> +  if (CR.isFullSet() ||    isEmptySet()) return CR;
> +
> +  if (!isWrappedSet() && CR.isWrappedSet()) return CR.unionWith(*this);
> +
> +  APInt L = Lower, U = Upper;
> +
> +  if (!isWrappedSet() && !CR.isWrappedSet()) {
> +    if (CR.Lower.slt(L))
> +      L = CR.Lower;
> +
> +    if (CR.Upper.sgt(U))
> +      U = CR.Upper;
> +  }
> +
> +  if (isWrappedSet() && !CR.isWrappedSet()) {
> +    if ((CR.Lower.slt(Upper) && CR.Upper.slt(Upper)) ||
> +        (CR.Lower.sgt(Lower) && CR.Upper.sgt(Lower))) {
> +      return *this;
> +    }
> +
> +    if (CR.Lower.sle(Upper) && Lower.sle(CR.Upper)) {
> +      return ConstantSignedRange(getBitWidth());
> +    }
> +
> +    if (CR.Lower.sle(Upper) && CR.Upper.sle(Lower)) {
> +      APInt d1 = CR.Upper - Upper, d2 = Lower - CR.Upper;
> +      if (d1.slt(d2)) {
> +        U = CR.Upper;
> +      } else {
> +        L = CR.Upper;
> +      }
> +    }
> +
> +    if (Upper.slt(CR.Lower) && CR.Upper.slt(Lower)) {
> +      APInt d1 = CR.Lower - Upper, d2 = Lower - CR.Upper;
> +      if (d1.slt(d2)) {
> +        U = CR.Lower + 1;
> +      } else {
> +        L = CR.Upper - 1;
> +      }
> +    }
> +
> +    if (Upper.slt(CR.Lower) && Lower.slt(CR.Upper)) {
> +      APInt d1 = CR.Lower - Upper, d2 = Lower - CR.Lower;
> +
> +      if (d1.slt(d2)) {
> +        U = CR.Lower + 1;
> +      } else {
> +        L = CR.Lower;
> +      }
> +    }
> +  }
> +
> +  if (isWrappedSet() && CR.isWrappedSet()) {
> +    if (Lower.slt(CR.Upper) || CR.Lower.slt(Upper))
> +      return ConstantSignedRange(getBitWidth());
> +
> +    if (CR.Upper.sgt(U)) {
> +      U = CR.Upper;
> +    }
> +
> +    if (CR.Lower.slt(L)) {
> +      L = CR.Lower;
> +    }
> +
> +    if (L == U) return ConstantSignedRange(getBitWidth());
> +  }
> +
> +  return ConstantSignedRange(L, U);
> +}
> +
> +/// zeroExtend - Return a new range in the specified integer type, which
> must
> +/// be strictly larger than the current type.  The returned range will
> +/// correspond to the possible range of values as if the source range had
> been
> +/// zero extended.
> +ConstantSignedRange ConstantSignedRange::zeroExtend(uint32_t DstTySize)
> const {
> +  unsigned SrcTySize = getBitWidth();
> +  assert(SrcTySize < DstTySize && "Not a value extension");
> +  if (isEmptySet())
> +    return ConstantSignedRange(SrcTySize, /*isFullSet=*/false);
> +  if (isFullSet())
> +    // Change a source full set into [0, 1 << 8*numbytes)
> +    return ConstantSignedRange(APInt(DstTySize,0),
> +                               APInt(DstTySize,1).shl(SrcTySize));
> +
> +  APInt L, U;
> +  if (Lower.isNegative() && !Upper.isNegative()) {
> +    L = APInt(SrcTySize, 0);
> +    U = APInt::getSignedMinValue(SrcTySize);
> +  } else {
> +    L = Lower;
> +    U = Upper;
> +  }
> +  L.zext(DstTySize);
> +  U.zext(DstTySize);
> +  return ConstantSignedRange(L, U);
> +}
> +
> +/// signExtend - Return a new range in the specified integer type, which
> must
> +/// be strictly larger than the current type.  The returned range will
> +/// correspond to the possible range of values as if the source range had
> been
> +/// sign extended.
> +ConstantSignedRange ConstantSignedRange::signExtend(uint32_t DstTySize)
> const {
> +  unsigned SrcTySize = getBitWidth();
> +  assert(SrcTySize < DstTySize && "Not a value extension");
> +  if (isEmptySet())
> +    return ConstantSignedRange(SrcTySize, /*isFullSet=*/false);
> +  if (isFullSet())
> +    return ConstantSignedRange(APInt(getSignedMin()).sext(DstTySize),
> +                               APInt(getSignedMax()).sext(DstTySize)+1);
> +
> +  APInt L = Lower; L.sext(DstTySize);
> +  APInt U = Upper; U.sext(DstTySize);
> +  return ConstantSignedRange(L, U);
> +}
> +
> +/// truncate - Return a new range in the specified integer type, which
> must be
> +/// strictly smaller than the current type.  The returned range will
> +/// correspond to the possible range of values as if the source range had
> been
> +/// truncated to the specified type.
> +ConstantSignedRange ConstantSignedRange::truncate(uint32_t DstTySize)
> const {
> +  // TODO: Implement truncate.
> +  return ConstantSignedRange(DstTySize, !isEmptySet());
> +}
> +
> +ConstantSignedRange
> +ConstantSignedRange::add(const ConstantSignedRange &Other) const {
> +  // TODO: Implement add.
> +  return ConstantSignedRange(getBitWidth(),
> +                             !(isEmptySet() || Other.isEmptySet()));
> +}
> +
> +ConstantSignedRange
> +ConstantSignedRange::multiply(const ConstantSignedRange &Other) const {
> +  // TODO: Implement multiply.
> +  return ConstantSignedRange(getBitWidth(),
> +                             !(isEmptySet() || Other.isEmptySet()));
> +}
> +
> +ConstantSignedRange
> +ConstantSignedRange::smax(const ConstantSignedRange &Other) const {
> +  // X smax Y is: range(smax(X_smin, Y_smin),
> +  //                    smax(X_smax, Y_smax))
> +  if (isEmptySet() || Other.isEmptySet())
> +    return ConstantSignedRange(getBitWidth(), /*isFullSet=*/false);
> +  if (isFullSet() || Other.isFullSet())
> +    return ConstantSignedRange(getBitWidth(), /*isFullSet=*/true);
> +  APInt NewL = APIntOps::smax(getSignedMin(), Other.getSignedMin());
> +  APInt NewU = APIntOps::smax(getSignedMax(), Other.getSignedMax()) + 1;
> +  if (NewU == NewL)
> +    return ConstantSignedRange(getBitWidth(), /*isFullSet=*/true);
> +  return ConstantSignedRange(NewL, NewU);
> +}
> +
> +ConstantSignedRange
> +ConstantSignedRange::umax(const ConstantSignedRange &Other) const {
> +  // TODO: Implement umax.
> +  return ConstantSignedRange(getBitWidth(),
> +                             !(isEmptySet() || Other.isEmptySet()));
> +}
> +
> +ConstantSignedRange
> +ConstantSignedRange::udiv(const ConstantSignedRange &Other) const {
> +  // TODO: Implement udiv.
> +  return ConstantSignedRange(getBitWidth(),
> +                             !(isEmptySet() || Other.isEmptySet()));
>  }
>
> Added: llvm/trunk/unittests/Support/ConstantRangeTest.cpp
> URL:
> http://llvm.org/viewvc/llvm-project/llvm/trunk/unittests/Support/ConstantRangeTest.cpp?rev=75177&view=auto
>
>
> ==============================================================================
> --- llvm/trunk/unittests/Support/ConstantRangeTest.cpp (added)
> +++ llvm/trunk/unittests/Support/ConstantRangeTest.cpp Thu Jul  9 17:07:27
> 2009
> @@ -0,0 +1,582 @@
> +//===- llvm/unittest/Support/ConstantRangeTest.cpp - ConstantRange tests
> --===//
> +//
> +//                     The LLVM Compiler Infrastructure
> +//
> +// This file is distributed under the University of Illinois Open Source
> +// License. See LICENSE.TXT for details.
> +//
>
> +//===----------------------------------------------------------------------===//
> +
> +#include "llvm/Support/ConstantRange.h"
> +
> +#include "gtest/gtest.h"
> +
> +using namespace llvm;
> +
> +namespace {
> +
> +TEST(ConstantRangeTest, Unsigned) {
> +  ConstantRange Full(16);
> +  ConstantRange Empty(16, false);
> +  ConstantRange One(APInt(16, 0xa));
> +  ConstantRange Some(APInt(16, 0xa), APInt(16, 0xaaa));
> +  ConstantRange Wrap(APInt(16, 0xaaa), APInt(16, 0xa));
> +
> +  EXPECT_TRUE(Full.isFullSet());
> +  EXPECT_FALSE(Full.isEmptySet());
> +  EXPECT_FALSE(Full.isWrappedSet());
> +  EXPECT_TRUE(Full.contains(APInt(16, 0x0)));
> +  EXPECT_TRUE(Full.contains(APInt(16, 0x9)));
> +  EXPECT_TRUE(Full.contains(APInt(16, 0xa)));
> +  EXPECT_TRUE(Full.contains(APInt(16, 0xaa9)));
> +  EXPECT_TRUE(Full.contains(APInt(16, 0xaaa)));
> +
> +  EXPECT_FALSE(Empty.isFullSet());
> +  EXPECT_TRUE(Empty.isEmptySet());
> +  EXPECT_FALSE(Empty.isWrappedSet());
> +  EXPECT_FALSE(Empty.contains(APInt(16, 0x0)));
> +  EXPECT_FALSE(Empty.contains(APInt(16, 0x9)));
> +  EXPECT_FALSE(Empty.contains(APInt(16, 0xa)));
> +  EXPECT_FALSE(Empty.contains(APInt(16, 0xaa9)));
> +  EXPECT_FALSE(Empty.contains(APInt(16, 0xaaa)));
> +
> +  EXPECT_FALSE(One.isFullSet());
> +  EXPECT_FALSE(One.isEmptySet());
> +  EXPECT_FALSE(One.isWrappedSet());
> +  EXPECT_FALSE(One.contains(APInt(16, 0x0)));
> +  EXPECT_FALSE(One.contains(APInt(16, 0x9)));
> +  EXPECT_TRUE(One.contains(APInt(16, 0xa)));
> +  EXPECT_FALSE(One.contains(APInt(16, 0xaa9)));
> +  EXPECT_FALSE(One.contains(APInt(16, 0xaaa)));
> +
> +  EXPECT_FALSE(Some.isFullSet());
> +  EXPECT_FALSE(Some.isEmptySet());
> +  EXPECT_FALSE(Some.isWrappedSet());
> +  EXPECT_FALSE(Some.contains(APInt(16, 0x0)));
> +  EXPECT_FALSE(Some.contains(APInt(16, 0x9)));
> +  EXPECT_TRUE(Some.contains(APInt(16, 0xa)));
> +  EXPECT_TRUE(Some.contains(APInt(16, 0xaa9)));
> +  EXPECT_FALSE(Some.contains(APInt(16, 0xaaa)));
> +
> +  EXPECT_FALSE(Wrap.isFullSet());
> +  EXPECT_FALSE(Wrap.isEmptySet());
> +  EXPECT_TRUE(Wrap.isWrappedSet());
> +  EXPECT_TRUE(Wrap.contains(APInt(16, 0x0)));
> +  EXPECT_TRUE(Wrap.contains(APInt(16, 0x9)));
> +  EXPECT_FALSE(Wrap.contains(APInt(16, 0xa)));
> +  EXPECT_FALSE(Wrap.contains(APInt(16, 0xaa9)));
> +  EXPECT_TRUE(Wrap.contains(APInt(16, 0xaaa)));
> +
> +  EXPECT_EQ(Full, Full);
> +  EXPECT_EQ(Empty, Empty);
> +  EXPECT_EQ(One, One);
> +  EXPECT_EQ(Some, Some);
> +  EXPECT_EQ(Wrap, Wrap);
> +  EXPECT_NE(Full, Empty);
> +  EXPECT_NE(Full, One);
> +  EXPECT_NE(Full, Some);
> +  EXPECT_NE(Full, Wrap);
> +  EXPECT_NE(Empty, One);
> +  EXPECT_NE(Empty, Some);
> +  EXPECT_NE(Empty, Wrap);
> +  EXPECT_NE(One, Some);
> +  EXPECT_NE(One, Wrap);
> +  EXPECT_NE(Some, Wrap);
> +
> +  EXPECT_EQ(Full.getSingleElement(), static_cast<APInt *>(NULL));
> +  EXPECT_EQ(Empty.getSingleElement(), static_cast<APInt *>(NULL));
> +  EXPECT_EQ(*One.getSingleElement(), APInt(16, 0xa));
> +  EXPECT_EQ(Some.getSingleElement(), static_cast<APInt *>(NULL));
> +  EXPECT_EQ(Wrap.getSingleElement(), static_cast<APInt *>(NULL));
> +
> +  EXPECT_FALSE(Full.isSingleElement());
> +  EXPECT_FALSE(Empty.isSingleElement());
> +  EXPECT_TRUE(One.isSingleElement());
> +  EXPECT_FALSE(Some.isSingleElement());
> +  EXPECT_FALSE(Wrap.isSingleElement());
> +
> +  EXPECT_EQ(Full.getSetSize(), APInt(16, 0));
> +  EXPECT_EQ(Empty.getSetSize(), APInt(16, 0));
> +  EXPECT_EQ(One.getSetSize(), APInt(16, 1));
> +  EXPECT_EQ(Some.getSetSize(), APInt(16, 0xaa0));
> +  EXPECT_EQ(Wrap.getSetSize(), APInt(16, 0x10000 - 0xaa0));
> +
> +  EXPECT_EQ(Full.getUnsignedMax(), APInt(16, UINT16_MAX));
> +  EXPECT_EQ(One.getUnsignedMax(), APInt(16, 0xa));
> +  EXPECT_EQ(Some.getUnsignedMax(), APInt(16, 0xaa9));
> +  EXPECT_EQ(Wrap.getUnsignedMax(), APInt(16, UINT16_MAX));
> +
> +  EXPECT_EQ(Full.getUnsignedMin(), APInt(16, 0));
> +  EXPECT_EQ(One.getUnsignedMin(), APInt(16, 0xa));
> +  EXPECT_EQ(Some.getUnsignedMin(), APInt(16, 0xa));
> +  EXPECT_EQ(Wrap.getUnsignedMin(), APInt(16, 0));
> +
> +  EXPECT_EQ(Full.getSignedMax(), APInt(16, INT16_MAX));
> +  EXPECT_EQ(One.getSignedMax(), APInt(16, 0xa));
> +  EXPECT_EQ(Some.getSignedMax(), APInt(16, 0xaa9));
> +  EXPECT_EQ(Wrap.getSignedMax(), APInt(16, INT16_MAX));
> +
> +  EXPECT_EQ(Full.getSignedMin(), APInt(16, INT16_MIN));
> +  EXPECT_EQ(One.getSignedMin(), APInt(16, 0xa));
> +  EXPECT_EQ(Some.getSignedMin(), APInt(16, 0xa));
> +  EXPECT_EQ(Wrap.getSignedMin(), APInt(16, INT16_MIN));
> +
> +  ConstantRange TFull = Full.truncate(10);
> +  ConstantRange TEmpty = Empty.truncate(10);
> +  ConstantRange TOne = One.truncate(10);
> +  ConstantRange TSome = Some.truncate(10);
> +  ConstantRange TWrap = Wrap.truncate(10);
> +  EXPECT_TRUE(TFull.isFullSet());
> +  EXPECT_TRUE(TEmpty.isEmptySet());
> +  EXPECT_EQ(TOne, ConstantRange(APInt(One.getLower()).trunc(10),
> +                                APInt(One.getUpper()).trunc(10)));
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_TRUE(TSome.isFullSet());
> +
> +  ConstantRange ZFull = Full.zeroExtend(20);
> +  ConstantRange ZEmpty = Empty.zeroExtend(20);
> +  ConstantRange ZOne = One.zeroExtend(20);
> +  ConstantRange ZSome = Some.zeroExtend(20);
> +  ConstantRange ZWrap = Wrap.zeroExtend(20);
> +  EXPECT_EQ(ZFull, ConstantRange(APInt(20, 0), APInt(20, 0x10000)));
> +  EXPECT_TRUE(ZEmpty.isEmptySet());
> +  EXPECT_EQ(ZOne, ConstantRange(APInt(One.getLower()).zext(20),
> +                                APInt(One.getUpper()).zext(20)));
> +  EXPECT_EQ(ZSome, ConstantRange(APInt(Some.getLower()).zext(20),
> +                                 APInt(Some.getUpper()).zext(20)));
> +  EXPECT_EQ(ZWrap, ConstantRange(APInt(Wrap.getLower()).zext(20),
> +                                 APInt(Wrap.getUpper()).zext(20)));
> +
> +  ConstantRange SFull = Full.signExtend(20);
> +  ConstantRange SEmpty = Empty.signExtend(20);
> +  ConstantRange SOne = One.signExtend(20);
> +  ConstantRange SSome = Some.signExtend(20);
> +  ConstantRange SWrap = Wrap.signExtend(20);
> +  EXPECT_EQ(SFull, ConstantRange(APInt(20, INT16_MIN, true),
> +                                 APInt(20, INT16_MAX, true)));
> +  EXPECT_TRUE(SEmpty.isEmptySet());
> +  EXPECT_EQ(SOne, ConstantRange(APInt(One.getLower()).sext(20),
> +                                APInt(One.getUpper()).sext(20)));
> +  EXPECT_EQ(SSome, ConstantRange(APInt(Some.getLower()).sext(20),
> +                                 APInt(Some.getUpper()).sext(20)));
> +  EXPECT_EQ(SWrap, ConstantRange(APInt(Wrap.getLower()).sext(20),
> +                                 APInt(Wrap.getUpper()).sext(20)));
> +
> +  EXPECT_TRUE(Empty.intersectWith(Full).isEmptySet());
> +  EXPECT_TRUE(Empty.intersectWith(Empty).isEmptySet());
> +  EXPECT_TRUE(Empty.intersectWith(One).isEmptySet());
> +  EXPECT_TRUE(Empty.intersectWith(Some).isEmptySet());
> +  EXPECT_TRUE(Empty.intersectWith(Wrap).isEmptySet());
> +  EXPECT_TRUE(Full.intersectWith(Full).isFullSet());
> +  EXPECT_TRUE(Some.intersectWith(Some) == Some);
> +  EXPECT_TRUE(Some.intersectWith(One) == One);
> +  EXPECT_TRUE(Full.intersectWith(One) == One);
> +  EXPECT_TRUE(Full.intersectWith(Some) == Some);
> +  EXPECT_TRUE(Some.intersectWith(Wrap).isEmptySet());
> +  EXPECT_TRUE(One.intersectWith(Wrap).isEmptySet());
> +  EXPECT_EQ(One.intersectWith(Wrap), Wrap.intersectWith(One));
> +
> +  EXPECT_TRUE(Empty.maximalIntersectWith(Full).isEmptySet());
> +  EXPECT_TRUE(Empty.maximalIntersectWith(Empty).isEmptySet());
> +  EXPECT_TRUE(Empty.maximalIntersectWith(One).isEmptySet());
> +  EXPECT_TRUE(Empty.maximalIntersectWith(Some).isEmptySet());
> +  EXPECT_TRUE(Empty.maximalIntersectWith(Wrap).isEmptySet());
> +  EXPECT_TRUE(Full.maximalIntersectWith(Full).isFullSet());
> +  EXPECT_TRUE(Some.maximalIntersectWith(Some) == Some);
> +  EXPECT_TRUE(Some.maximalIntersectWith(One) == One);
> +  EXPECT_TRUE(Full.maximalIntersectWith(One) == One);
> +  EXPECT_TRUE(Full.maximalIntersectWith(Some) == Some);
> +  EXPECT_TRUE(Some.maximalIntersectWith(Wrap).isEmptySet());
> +  EXPECT_TRUE(One.maximalIntersectWith(Wrap).isEmptySet());
> +  EXPECT_EQ(One.maximalIntersectWith(Wrap),
> Wrap.maximalIntersectWith(One));
> +
> +  EXPECT_EQ(Wrap.unionWith(One),
> +            ConstantRange(APInt(16, 0xaaa), APInt(16, 0xb)));
> +  EXPECT_EQ(One.unionWith(Wrap), Wrap.unionWith(One));
> +  EXPECT_TRUE(Empty.unionWith(Empty).isEmptySet());
> +  EXPECT_TRUE(Full.unionWith(Full).isFullSet());
> +  EXPECT_TRUE(Some.unionWith(Wrap).isFullSet());
> +
> +  EXPECT_TRUE(Full.subtract(APInt(16, 4)).isFullSet());
> +  EXPECT_TRUE(Empty.subtract(APInt(16, 4)).isEmptySet());
> +  EXPECT_EQ(Some.subtract(APInt(16, 4)),
> +            ConstantRange(APInt(16, 0x6), APInt(16, 0xaa6)));
> +  EXPECT_EQ(Wrap.subtract(APInt(16, 4)),
> +            ConstantRange(APInt(16, 0xaa6), APInt(16, 0x6)));
> +  EXPECT_EQ(One.subtract(APInt(16, 4)),
> +            ConstantRange(APInt(16, 0x6)));
> +
> +  EXPECT_TRUE(Full.add(APInt(16, 4)).isFullSet());
> +  EXPECT_TRUE(Empty.add(APInt(16, 4)).isEmptySet());
> +  EXPECT_EQ(Some.add(APInt(16, 4)),
> +            ConstantRange(APInt(16, 0xe), APInt(16, 0xaae)));
> +  EXPECT_EQ(Wrap.add(APInt(16, 4)),
> +            ConstantRange(APInt(16, 0xaae), APInt(16, 0xe)));
> +  EXPECT_EQ(One.add(APInt(16, 4)),
> +            ConstantRange(APInt(16, 0xe)));
> +
> +  EXPECT_TRUE(Full.umax(Full).isFullSet());
> +  EXPECT_TRUE(Full.umax(Empty).isEmptySet());
> +  EXPECT_TRUE(Full.umax(Some).isFullSet());
> +  EXPECT_TRUE(Full.umax(Wrap).isFullSet());
> +  EXPECT_TRUE(Full.umax(One).isFullSet());
> +  EXPECT_EQ(Empty.umax(Empty), Empty);
> +  EXPECT_EQ(Empty.umax(Some), Empty);
> +  EXPECT_EQ(Empty.umax(Wrap), Empty);
> +  EXPECT_EQ(Empty.umax(One), Empty);
> +  EXPECT_EQ(Some.umax(Some), Some);
> +  EXPECT_EQ(Some.umax(Wrap), ConstantRange(APInt(16, 0xa), APInt(16, 0)));
> +  EXPECT_EQ(Some.umax(One), Some);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(Wrap.umax(Wrap), Full);
> +  EXPECT_EQ(Wrap.umax(One), ConstantRange(APInt(16, 0xa), APInt(16, 0)));
> +  EXPECT_EQ(One.umax(One), One);
> +
> +  EXPECT_EQ(Full.multiply(Full), Full);
> +  EXPECT_EQ(Full.multiply(Empty), Empty);
> +  EXPECT_EQ(Full.multiply(One), Full);
> +  EXPECT_EQ(Full.multiply(Some), Full);
> +  EXPECT_EQ(Full.multiply(Wrap), Full);
> +  EXPECT_EQ(Empty.multiply(Empty), Empty);
> +  EXPECT_EQ(Empty.multiply(One), Empty);
> +  EXPECT_EQ(Empty.multiply(Some), Empty);
> +  EXPECT_EQ(Empty.multiply(Wrap), Empty);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(One.multiply(One), Full);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(One.multiply(Some), Full);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(One.multiply(Wrap), Full);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(Some.multiply(Some), Full);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(Some.multiply(Wrap), Full);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(Wrap.multiply(Wrap), Full);
> +
> +  EXPECT_EQ(Full.smax(Full), Full);
> +  EXPECT_EQ(Full.smax(Empty), Empty);
> +  EXPECT_EQ(Full.smax(One), Full);
> +  EXPECT_EQ(Full.smax(Some), Full);
> +  EXPECT_EQ(Full.smax(Wrap), Full);
> +  EXPECT_EQ(Empty.smax(Empty), Empty);
> +  EXPECT_EQ(Empty.smax(One), Empty);
> +  EXPECT_EQ(Empty.smax(Some), Empty);
> +  EXPECT_EQ(Empty.smax(Wrap), Empty);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(One.smax(One), Full);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(One.smax(Some), Full);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(One.smax(Wrap), Full);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(Some.smax(Some), Full);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(Some.smax(Wrap), Full);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(Wrap.smax(Wrap), Full);
> +
> +  EXPECT_EQ(Full.udiv(Full), Full);
> +  EXPECT_EQ(Full.udiv(Empty), Empty);
> +  EXPECT_EQ(Full.udiv(One), Full);
> +  EXPECT_EQ(Full.udiv(Some), Full);
> +  EXPECT_EQ(Full.udiv(Wrap), Full);
> +  EXPECT_EQ(Empty.udiv(Empty), Empty);
> +  EXPECT_EQ(Empty.udiv(One), Empty);
> +  EXPECT_EQ(Empty.udiv(Some), Empty);
> +  EXPECT_EQ(Empty.udiv(Wrap), Empty);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(One.udiv(One), Full);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(One.udiv(Some), Full);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(One.udiv(Wrap), Full);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(Some.udiv(Some), Full);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(Some.udiv(Wrap), Full);
> +  // TODO: ConstantRange is currently over-conservative here.
> +  EXPECT_EQ(Wrap.udiv(Wrap), Full);
> +
> +}
> +
> +TEST(ConstantRangeTest, Signed) {
> +  ConstantSignedRange Full(16);
> +  ConstantSignedRange Empty(16, false);
> +  ConstantSignedRange One(APInt(16, 0xa));
> +  ConstantSignedRange Some(APInt(16, 0xa), APInt(16, 0xaaa));
> +  ConstantSignedRange Wrap(APInt(16, 0xaaa), APInt(16, 0xa));
> +
> +  EXPECT_TRUE(Full.isFullSet());
> +  EXPECT_FALSE(Full.isEmptySet());
> +  EXPECT_FALSE(Full.isWrappedSet());
> +  EXPECT_TRUE(Full.contains(APInt(16, 0x0)));
> +  EXPECT_TRUE(Full.contains(APInt(16, 0x9)));
> +  EXPECT_TRUE(Full.contains(APInt(16, 0xa)));
> +  EXPECT_TRUE(Full.contains(APInt(16, 0xaa9)));
> +  EXPECT_TRUE(Full.contains(APInt(16, 0xaaa)));
> +
> +  EXPECT_FALSE(Empty.isFullSet());
> +  EXPECT_TRUE(Empty.isEmptySet());
> +  EXPECT_FALSE(Empty.isWrappedSet());
> +  EXPECT_FALSE(Empty.contains(APInt(16, 0x0)));
> +  EXPECT_FALSE(Empty.contains(APInt(16, 0x9)));
> +  EXPECT_FALSE(Empty.contains(APInt(16, 0xa)));
> +  EXPECT_FALSE(Empty.contains(APInt(16, 0xaa9)));
> +  EXPECT_FALSE(Empty.contains(APInt(16, 0xaaa)));
> +
> +  EXPECT_FALSE(One.isFullSet());
> +  EXPECT_FALSE(One.isEmptySet());
> +  EXPECT_FALSE(One.isWrappedSet());
> +  EXPECT_FALSE(One.contains(APInt(16, 0x0)));
> +  EXPECT_FALSE(One.contains(APInt(16, 0x9)));
> +  EXPECT_TRUE(One.contains(APInt(16, 0xa)));
> +  EXPECT_FALSE(One.contains(APInt(16, 0xaa9)));
> +  EXPECT_FALSE(One.contains(APInt(16, 0xaaa)));
> +
> +  EXPECT_FALSE(Some.isFullSet());
> +  EXPECT_FALSE(Some.isEmptySet());
> +  EXPECT_FALSE(Some.isWrappedSet());
> +  EXPECT_FALSE(Some.contains(APInt(16, 0x0)));
> +  EXPECT_FALSE(Some.contains(APInt(16, 0x9)));
> +  EXPECT_TRUE(Some.contains(APInt(16, 0xa)));
> +  EXPECT_TRUE(Some.contains(APInt(16, 0xaa9)));
> +  EXPECT_FALSE(Some.contains(APInt(16, 0xaaa)));
> +
> +  EXPECT_FALSE(Wrap.isFullSet());
> +  EXPECT_FALSE(Wrap.isEmptySet());
> +  EXPECT_TRUE(Wrap.isWrappedSet());
> +  EXPECT_TRUE(Wrap.contains(APInt(16, 0x0)));
> +  EXPECT_TRUE(Wrap.contains(APInt(16, 0x9)));
> +  EXPECT_FALSE(Wrap.contains(APInt(16, 0xa)));
> +  EXPECT_FALSE(Wrap.contains(APInt(16, 0xaa9)));
> +  EXPECT_TRUE(Wrap.contains(APInt(16, 0xaaa)));
> +
> +  EXPECT_EQ(Full, Full);
> +  EXPECT_EQ(Empty, Empty);
> +  EXPECT_EQ(One, One);
> +  EXPECT_EQ(Some, Some);
> +  EXPECT_EQ(Wrap, Wrap);
> +  EXPECT_NE(Full, Empty);
> +  EXPECT_NE(Full, One);
> +  EXPECT_NE(Full, Some);
> +  EXPECT_NE(Full, Wrap);
> +  EXPECT_NE(Empty, One);
> +  EXPECT_NE(Empty, Some);
> +  EXPECT_NE(Empty, Wrap);
> +  EXPECT_NE(One, Some);
> +  EXPECT_NE(One, Wrap);
> +  EXPECT_NE(Some, Wrap);
> +
> +  EXPECT_EQ(Full.getSingleElement(), static_cast<APInt *>(NULL));
> +  EXPECT_EQ(Empty.getSingleElement(), static_cast<APInt *>(NULL));
> +  EXPECT_EQ(*One.getSingleElement(), APInt(16, 0xa));
> +  EXPECT_EQ(Some.getSingleElement(), static_cast<APInt *>(NULL));
> +  EXPECT_EQ(Wrap.getSingleElement(), static_cast<APInt *>(NULL));
> +
> +  EXPECT_FALSE(Full.isSingleElement());
> +  EXPECT_FALSE(Empty.isSingleElement());
> +  EXPECT_TRUE(One.isSingleElement());
> +  EXPECT_FALSE(Some.isSingleElement());
> +  EXPECT_FALSE(Wrap.isSingleElement());
> +
> +  EXPECT_EQ(Full.getSetSize(), APInt(16, 0));
> +  EXPECT_EQ(Empty.getSetSize(), APInt(16, 0));
> +  EXPECT_EQ(One.getSetSize(), APInt(16, 1));
> +  EXPECT_EQ(Some.getSetSize(), APInt(16, 0xaa0));
> +  EXPECT_EQ(Wrap.getSetSize(), APInt(16, 0x10000 - 0xaa0));
> +
> +  EXPECT_EQ(Full.getSignedMax(), APInt(16, INT16_MAX, true));
> +  EXPECT_EQ(One.getSignedMax(), APInt(16, 0xa));
> +  EXPECT_EQ(Some.getSignedMax(), APInt(16, 0xaa9));
> +  EXPECT_EQ(Wrap.getSignedMax(), APInt(16, INT16_MAX));
> +
> +  EXPECT_EQ(Full.getSignedMin(), APInt(16, INT16_MIN));
> +  EXPECT_EQ(One.getSignedMin(), APInt(16, 0xa));
> +  EXPECT_EQ(Some.getSignedMin(), APInt(16, 0xa));
> +  EXPECT_EQ(Wrap.getSignedMin(), APInt(16, INT16_MIN));
> +
> +  EXPECT_EQ(Full.getUnsignedMax(), APInt(16, UINT16_MAX, true));
> +  EXPECT_EQ(One.getUnsignedMax(), APInt(16, 0xa));
> +  EXPECT_EQ(Some.getUnsignedMax(), APInt(16, 0xaa9));
> +  EXPECT_EQ(Wrap.getUnsignedMax(), APInt(16, UINT16_MAX));
> +
> +  EXPECT_EQ(Full.getUnsignedMin(), APInt(16, 0));
> +  EXPECT_EQ(One.getUnsignedMin(), APInt(16, 0xa));
> +  EXPECT_EQ(Some.getUnsignedMin(), APInt(16, 0xa));
> +  EXPECT_EQ(Wrap.getUnsignedMin(), APInt(16, 0));
> +
> +  ConstantSignedRange TFull = Full.truncate(10);
> +  ConstantSignedRange TEmpty = Empty.truncate(10);
> +  ConstantSignedRange TOne = One.truncate(10);
> +  ConstantSignedRange TSome = Some.truncate(10);
> +  ConstantSignedRange TWrap = Wrap.truncate(10);
> +  EXPECT_TRUE(TFull.isFullSet());
> +  EXPECT_TRUE(TEmpty.isEmptySet());
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_TRUE(TOne.isFullSet());
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_TRUE(TSome.isFullSet());
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_TRUE(TWrap.isFullSet());
> +
> +  ConstantSignedRange ZFull = Full.zeroExtend(20);
> +  ConstantSignedRange ZEmpty = Empty.zeroExtend(20);
> +  ConstantSignedRange ZOne = One.zeroExtend(20);
> +  ConstantSignedRange ZSome = Some.zeroExtend(20);
> +  ConstantSignedRange ZWrap = Wrap.zeroExtend(20);
> +  EXPECT_EQ(ZFull, ConstantSignedRange(APInt(20, 0), APInt(20, 0x10000)));
> +  EXPECT_TRUE(ZEmpty.isEmptySet());
> +  EXPECT_EQ(ZOne, ConstantSignedRange(APInt(One.getLower()).zext(20),
> +                                      APInt(One.getUpper()).zext(20)));
> +  EXPECT_EQ(ZSome, ConstantSignedRange(APInt(Some.getLower()).zext(20),
> +                                       APInt(Some.getUpper()).zext(20)));
> +  EXPECT_EQ(ZWrap, ConstantSignedRange(APInt(Wrap.getLower()).zext(20),
> +                                       APInt(Wrap.getUpper()).zext(20)));
> +
> +  ConstantSignedRange SFull = Full.signExtend(20);
> +  ConstantSignedRange SEmpty = Empty.signExtend(20);
> +  ConstantSignedRange SOne = One.signExtend(20);
> +  ConstantSignedRange SSome = Some.signExtend(20);
> +  ConstantSignedRange SWrap = Wrap.signExtend(20);
> +  EXPECT_EQ(SFull, ConstantSignedRange(APInt(20, INT16_MIN),
> +                                       APInt(20, INT16_MAX+1)));
> +  EXPECT_TRUE(SEmpty.isEmptySet());
> +  EXPECT_EQ(SOne, ConstantSignedRange(APInt(One.getLower()).sext(20),
> +                                      APInt(One.getUpper()).sext(20)));
> +  EXPECT_EQ(SSome, ConstantSignedRange(APInt(Some.getLower()).sext(20),
> +                                       APInt(Some.getUpper()).sext(20)));
> +  EXPECT_EQ(SWrap, ConstantSignedRange(APInt(Wrap.getLower()).sext(20),
> +                                       APInt(Wrap.getUpper()).sext(20)));
> +
> +  EXPECT_TRUE(Empty.intersectWith(Full).isEmptySet());
> +  EXPECT_TRUE(Empty.intersectWith(Empty).isEmptySet());
> +  EXPECT_TRUE(Empty.intersectWith(One).isEmptySet());
> +  EXPECT_TRUE(Empty.intersectWith(Some).isEmptySet());
> +  EXPECT_TRUE(Empty.intersectWith(Wrap).isEmptySet());
> +  EXPECT_TRUE(Full.intersectWith(Full).isFullSet());
> +  EXPECT_TRUE(Some.intersectWith(Some) == Some);
> +  EXPECT_TRUE(Some.intersectWith(One) == One);
> +  EXPECT_TRUE(Full.intersectWith(One) == One);
> +  EXPECT_TRUE(Full.intersectWith(Some) == Some);
> +  EXPECT_TRUE(Some.intersectWith(Wrap).isEmptySet());
> +  EXPECT_TRUE(One.intersectWith(Wrap).isEmptySet());
> +  EXPECT_EQ(One.intersectWith(Wrap), Wrap.intersectWith(One));
> +
> +  EXPECT_TRUE(Empty.maximalIntersectWith(Full).isEmptySet());
> +  EXPECT_TRUE(Empty.maximalIntersectWith(Empty).isEmptySet());
> +  EXPECT_TRUE(Empty.maximalIntersectWith(One).isEmptySet());
> +  EXPECT_TRUE(Empty.maximalIntersectWith(Some).isEmptySet());
> +  EXPECT_TRUE(Empty.maximalIntersectWith(Wrap).isEmptySet());
> +  EXPECT_TRUE(Full.maximalIntersectWith(Full).isFullSet());
> +  EXPECT_TRUE(Some.maximalIntersectWith(Some) == Some);
> +  EXPECT_TRUE(Some.maximalIntersectWith(One) == One);
> +  EXPECT_TRUE(Full.maximalIntersectWith(One) == One);
> +  EXPECT_TRUE(Full.maximalIntersectWith(Some) == Some);
> +  EXPECT_TRUE(Some.maximalIntersectWith(Wrap).isEmptySet());
> +  EXPECT_TRUE(One.maximalIntersectWith(Wrap).isEmptySet());
> +  EXPECT_EQ(One.maximalIntersectWith(Wrap),
> Wrap.maximalIntersectWith(One));
> +
> +  EXPECT_EQ(Wrap.unionWith(One),
> +            ConstantSignedRange(APInt(16, 0xaaa), APInt(16, 0xb)));
> +  EXPECT_EQ(One.unionWith(Wrap), Wrap.unionWith(One));
> +  EXPECT_TRUE(Empty.unionWith(Empty).isEmptySet());
> +  EXPECT_TRUE(Full.unionWith(Full).isFullSet());
> +  EXPECT_TRUE(Some.unionWith(Wrap).isFullSet());
> +
> +  EXPECT_TRUE(Full.subtract(APInt(16, 4)).isFullSet());
> +  EXPECT_TRUE(Empty.subtract(APInt(16, 4)).isEmptySet());
> +  EXPECT_EQ(Some.subtract(APInt(16, 4)),
> +            ConstantSignedRange(APInt(16, 0x6), APInt(16, 0xaa6)));
> +  EXPECT_EQ(Wrap.subtract(APInt(16, 4)),
> +            ConstantSignedRange(APInt(16, 0xaa6), APInt(16, 0x6)));
> +  EXPECT_EQ(One.subtract(APInt(16, 4)),
> +            ConstantSignedRange(APInt(16, 0x6)));
> +
> +  EXPECT_TRUE(Full.smax(Full).isFullSet());
> +  EXPECT_TRUE(Full.smax(Empty).isEmptySet());
> +  EXPECT_TRUE(Full.smax(Some).isFullSet());
> +  EXPECT_TRUE(Full.smax(Wrap).isFullSet());
> +  EXPECT_TRUE(Full.smax(One).isFullSet());
> +  EXPECT_EQ(Empty.smax(Empty), Empty);
> +  EXPECT_EQ(Empty.smax(Some), Empty);
> +  EXPECT_EQ(Empty.smax(Wrap), Empty);
> +  EXPECT_EQ(Empty.smax(One), Empty);
> +  EXPECT_EQ(Some.smax(Some), Some);
> +  EXPECT_EQ(Some.smax(Wrap), ConstantSignedRange(APInt(16, 0xa),
> +                                                 APInt(16, INT16_MIN)));
> +  EXPECT_EQ(Some.smax(One), Some);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(Wrap.smax(Wrap), Full);
> +  EXPECT_EQ(Wrap.smax(One), ConstantSignedRange(APInt(16, 0xa),
> +                                                APInt(16, INT16_MIN)));
> +  EXPECT_EQ(One.smax(One), One);
> +
> +  EXPECT_EQ(Full.add(Full), Full);
> +  EXPECT_EQ(Full.add(Empty), Empty);
> +  EXPECT_EQ(Full.add(One), Full);
> +  EXPECT_EQ(Full.add(Some), Full);
> +  EXPECT_EQ(Full.add(Wrap), Full);
> +  EXPECT_EQ(Empty.add(Empty), Empty);
> +  EXPECT_EQ(Empty.add(One), Empty);
> +  EXPECT_EQ(Empty.add(Some), Empty);
> +  EXPECT_EQ(Empty.add(Wrap), Empty);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(One.add(One), Full);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(One.add(Some), Full);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(One.add(Wrap), Full);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(Some.add(Some), Full);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(Some.add(Wrap), Full);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(Wrap.add(Wrap), Full);
> +
> +  EXPECT_EQ(Full.multiply(Full), Full);
> +  EXPECT_EQ(Full.multiply(Empty), Empty);
> +  EXPECT_EQ(Full.multiply(One), Full);
> +  EXPECT_EQ(Full.multiply(Some), Full);
> +  EXPECT_EQ(Full.multiply(Wrap), Full);
> +  EXPECT_EQ(Empty.multiply(Empty), Empty);
> +  EXPECT_EQ(Empty.multiply(One), Empty);
> +  EXPECT_EQ(Empty.multiply(Some), Empty);
> +  EXPECT_EQ(Empty.multiply(Wrap), Empty);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(One.multiply(One), Full);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(One.multiply(Some), Full);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(One.multiply(Wrap), Full);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(Some.multiply(Some), Full);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(Some.multiply(Wrap), Full);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(Wrap.multiply(Wrap), Full);
> +
> +  EXPECT_EQ(Full.umax(Full), Full);
> +  EXPECT_EQ(Full.umax(Empty), Empty);
> +  EXPECT_EQ(Full.umax(One), Full);
> +  EXPECT_EQ(Full.umax(Some), Full);
> +  EXPECT_EQ(Full.umax(Wrap), Full);
> +  EXPECT_EQ(Empty.umax(Empty), Empty);
> +  EXPECT_EQ(Empty.umax(One), Empty);
> +  EXPECT_EQ(Empty.umax(Some), Empty);
> +  EXPECT_EQ(Empty.umax(Wrap), Empty);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(One.umax(One), Full);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(One.umax(Some), Full);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(One.umax(Wrap), Full);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(Some.umax(Some), Full);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(Some.umax(Wrap), Full);
> +  // TODO: ConstantSignedRange is currently over-conservative here.
> +  EXPECT_EQ(Wrap.umax(Wrap), Full);
> +}
> +
> +}  // anonymous namespace
>
>
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