//
// The LLVM Compiler Infrastructure
//
-// This file was developed by the LLVM research group and is distributed under
-// the University of Illinois Open Source License. See LICENSE.TXT for details.
+// This file is distributed under the University of Illinois Open Source
+// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
//
//===----------------------------------------------------------------------===//
#include "llvm/Support/ConstantRange.h"
-#include "llvm/Support/Streams.h"
-#include <ostream>
+#include "llvm/Support/Debug.h"
+#include "llvm/Support/raw_ostream.h"
+#include "llvm/Instructions.h"
using namespace llvm;
/// 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) {
+ConstantRange::ConstantRange(uint32_t BitWidth, bool Full) {
if (Full)
Lower = Upper = APInt::getMaxValue(BitWidth);
else
/// Initialize a range to hold the single specified value.
///
-ConstantRange::ConstantRange(const APInt & V) : Lower(V), Upper(V + 1) { }
+ConstantRange::ConstantRange(const APInt & V) : Lower(V), Upper(V + 1) {}
ConstantRange::ConstantRange(const APInt &L, const APInt &U) :
Lower(L), Upper(U) {
- assert(L.getBitWidth() == U.getBitWidth() &&
+ assert(L.getBitWidth() == U.getBitWidth() &&
"ConstantRange with unequal bit widths");
- uint32_t BitWidth = L.getBitWidth();
- assert((L != U || (L == APInt::getMaxValue(BitWidth) ||
- L == APInt::getMinValue(BitWidth))) &&
+ assert((L != U || (L.isMaxValue() || L.isMinValue())) &&
"Lower == Upper, but they aren't min or max value!");
}
+ConstantRange ConstantRange::makeICmpRegion(unsigned Pred,
+ const ConstantRange &CR) {
+ uint32_t W = CR.getBitWidth();
+ switch (Pred) {
+ default: assert(!"Invalid ICmp predicate to makeICmpRegion()");
+ case ICmpInst::ICMP_EQ:
+ return CR;
+ case ICmpInst::ICMP_NE:
+ if (CR.isSingleElement())
+ return ConstantRange(CR.getUpper(), CR.getLower());
+ return ConstantRange(W);
+ case ICmpInst::ICMP_ULT:
+ return ConstantRange(APInt::getMinValue(W), CR.getUnsignedMax());
+ case ICmpInst::ICMP_SLT:
+ return ConstantRange(APInt::getSignedMinValue(W), CR.getSignedMax());
+ case ICmpInst::ICMP_ULE: {
+ APInt UMax(CR.getUnsignedMax());
+ if (UMax.isMaxValue())
+ return ConstantRange(W);
+ return ConstantRange(APInt::getMinValue(W), UMax + 1);
+ }
+ case ICmpInst::ICMP_SLE: {
+ APInt SMax(CR.getSignedMax());
+ if (SMax.isMaxSignedValue() || (SMax+1).isMaxSignedValue())
+ return ConstantRange(W);
+ return ConstantRange(APInt::getSignedMinValue(W), SMax + 1);
+ }
+ case ICmpInst::ICMP_UGT:
+ return ConstantRange(CR.getUnsignedMin() + 1, APInt::getNullValue(W));
+ case ICmpInst::ICMP_SGT:
+ return ConstantRange(CR.getSignedMin() + 1,
+ APInt::getSignedMinValue(W));
+ case ICmpInst::ICMP_UGE: {
+ APInt UMin(CR.getUnsignedMin());
+ if (UMin.isMinValue())
+ return ConstantRange(W);
+ return ConstantRange(UMin, APInt::getNullValue(W));
+ }
+ case ICmpInst::ICMP_SGE: {
+ APInt SMin(CR.getSignedMin());
+ if (SMin.isMinSignedValue())
+ return ConstantRange(W);
+ return ConstantRange(SMin, APInt::getSignedMinValue(W));
+ }
+ }
+}
+
/// isFullSet - Return true if this set contains all of the elements possible
/// for this data-type
bool ConstantRange::isFullSet() const {
- return Lower == Upper && Lower == APInt::getMaxValue(getBitWidth());
+ return Lower == Upper && Lower.isMaxValue();
}
/// isEmptySet - Return true if this set contains no members.
///
bool ConstantRange::isEmptySet() const {
- return Lower == Upper && Lower == APInt::getMinValue(getBitWidth());
+ return Lower == Upper && Lower.isMinValue();
}
/// isWrappedSet - Return true if this set wraps around the top of the range,
/// ConstantRange.
///
APInt ConstantRange::getSignedMax() const {
- APInt SignedMax = APInt::getSignedMaxValue(getBitWidth());
+ APInt SignedMax(APInt::getSignedMaxValue(getBitWidth()));
if (!isWrappedSet()) {
- if (getLower().slt(getUpper() - 1))
+ if (getLower().sle(getUpper() - 1))
return getUpper() - 1;
else
return SignedMax;
} else {
- if ((getUpper() - 1).slt(getLower())) {
- if (getLower() != SignedMax)
- return SignedMax;
- else
- return getUpper() - 1;
- } else {
+ if (getLower().isNegative() == getUpper().isNegative())
+ return SignedMax;
+ else
return getUpper() - 1;
- }
}
}
/// ConstantRange.
///
APInt ConstantRange::getSignedMin() const {
- APInt SignedMin = APInt::getSignedMinValue(getBitWidth());
+ APInt SignedMin(APInt::getSignedMinValue(getBitWidth()));
if (!isWrappedSet()) {
- if (getLower().slt(getUpper() - 1))
+ if (getLower().sle(getUpper() - 1))
return getLower();
else
return SignedMin;
return Lower.ule(V) || V.ult(Upper);
}
+/// contains - Return true if the argument is a subset of this range.
+/// Two equal set contain each other. The empty set is considered to be
+/// contained by all other sets.
+///
+bool ConstantRange::contains(const ConstantRange &Other) const {
+ if (isFullSet()) return true;
+ if (Other.isFullSet()) return false;
+ if (Other.isEmptySet()) return true;
+ if (isEmptySet()) return false;
+
+ if (!isWrappedSet()) {
+ if (Other.isWrappedSet())
+ return false;
+
+ return Lower.ule(Other.getLower()) && Other.getUpper().ule(Upper);
+ }
+
+ if (!Other.isWrappedSet())
+ return Other.getUpper().ule(Upper) ||
+ Lower.ule(Other.getLower());
+
+ return Other.getUpper().ule(Upper) && Lower.ule(Other.getLower());
+}
+
/// subtract - Subtract the specified constant from the endpoints of this
/// constant range.
ConstantRange ConstantRange::subtract(const APInt &Val) const {
}
/// intersectWith - Return the range that results from the intersection of this
-/// range with another range.
-///
+/// 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.intersectWith(B) might not be equal to B.intersectWith(A).
ConstantRange ConstantRange::intersectWith(const ConstantRange &CR) const {
assert(getBitWidth() == CR.getBitWidth() &&
"ConstantRange 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()) {
- using namespace APIntOps;
- APInt L = umax(Lower, CR.Lower);
- APInt U = umin(Upper, CR.Upper);
+ // Handle common cases.
+ if ( isEmptySet() || CR.isFullSet()) return *this;
+ if (CR.isEmptySet() || isFullSet()) return CR;
+
+ if (!isWrappedSet() && CR.isWrappedSet())
+ return CR.intersectWith(*this);
+
+ if (!isWrappedSet() && !CR.isWrappedSet()) {
+ if (Lower.ult(CR.Lower)) {
+ if (Upper.ule(CR.Lower))
+ return ConstantRange(getBitWidth(), false);
+
+ if (Upper.ult(CR.Upper))
+ return ConstantRange(CR.Lower, Upper);
+
+ return CR;
+ } else {
+ if (Upper.ult(CR.Upper))
+ return *this;
+
+ if (Lower.ult(CR.Upper))
+ return ConstantRange(Lower, CR.Upper);
- if (L.ult(U)) // If range isn't empty...
- return ConstantRange(L, U);
+ return ConstantRange(getBitWidth(), false);
+ }
+ }
+
+ if (isWrappedSet() && !CR.isWrappedSet()) {
+ if (CR.Lower.ult(Upper)) {
+ if (CR.Upper.ult(Upper))
+ return CR;
+
+ if (CR.Upper.ult(Lower))
+ return ConstantRange(CR.Lower, Upper);
+
+ if (getSetSize().ult(CR.getSetSize()))
+ return *this;
else
- return ConstantRange(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...
- using namespace APIntOps;
- APInt L = umax(Lower, CR.Lower);
- APInt U = umin(Upper, CR.Upper);
- return ConstantRange(L, U);
+ return CR;
+ } else if (CR.Lower.ult(Lower)) {
+ if (CR.Upper.ule(Lower))
+ return ConstantRange(getBitWidth(), false);
+
+ return ConstantRange(Lower, CR.Upper);
}
+ return CR;
+ }
+
+ if (CR.Upper.ult(Upper)) {
+ if (CR.Lower.ult(Upper)) {
+ if (getSetSize().ult(CR.getSetSize()))
+ return *this;
+ else
+ return CR;
+ }
+
+ if (CR.Lower.ult(Lower))
+ return ConstantRange(Lower, CR.Upper);
+
+ return CR;
+ } else if (CR.Upper.ult(Lower)) {
+ if (CR.Lower.ult(Lower))
+ return *this;
+
+ return ConstantRange(CR.Lower, Upper);
}
- return *this;
+ 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
if (!isWrappedSet() && CR.isWrappedSet()) return CR.unionWith(*this);
- APInt L = Lower, U = Upper;
-
if (!isWrappedSet() && !CR.isWrappedSet()) {
+ if (CR.Upper.ult(Lower) || Upper.ult(CR.Lower)) {
+ // If the two ranges are disjoint, find the smaller gap and bridge it.
+ APInt d1 = CR.Lower - Upper, d2 = Lower - CR.Upper;
+ if (d1.ult(d2))
+ return ConstantRange(Lower, CR.Upper);
+ else
+ return ConstantRange(CR.Lower, Upper);
+ }
+
+ APInt L = Lower, U = Upper;
if (CR.Lower.ult(L))
L = CR.Lower;
-
- if (CR.Upper.ugt(U))
+ if ((CR.Upper - 1).ugt(U - 1))
U = CR.Upper;
+
+ if (L == 0 && U == 0)
+ return ConstantRange(getBitWidth());
+
+ return ConstantRange(L, U);
}
- if (isWrappedSet() && !CR.isWrappedSet()) {
- if ((CR.Lower.ult(Upper) && CR.Upper.ult(Upper)) ||
- (CR.Lower.ugt(Lower) && CR.Upper.ugt(Lower))) {
+ if (!CR.isWrappedSet()) {
+ // ------U L----- and ------U L----- : this
+ // L--U L--U : CR
+ if (CR.Upper.ule(Upper) || CR.Lower.uge(Lower))
return *this;
- }
- if (CR.Lower.ule(Upper) && Lower.ule(CR.Upper)) {
+ // ------U L----- : this
+ // L---------U : CR
+ if (CR.Lower.ule(Upper) && Lower.ule(CR.Upper))
return ConstantRange(getBitWidth());
- }
-
- if (CR.Lower.ule(Upper) && CR.Upper.ule(Lower)) {
- APInt d1 = CR.Upper - Upper, d2 = Lower - CR.Upper;
- if (d1.ult(d2)) {
- U = CR.Upper;
- } else {
- L = CR.Upper;
- }
- }
- if (Upper.ult(CR.Lower) && CR.Upper.ult(Lower)) {
+ // ----U L---- : this
+ // L---U : CR
+ // <d1> <d2>
+ if (Upper.ule(CR.Lower) && CR.Upper.ule(Lower)) {
APInt d1 = CR.Lower - Upper, d2 = Lower - CR.Upper;
- if (d1.ult(d2)) {
- U = CR.Lower + 1;
- } else {
- L = CR.Upper - 1;
- }
+ if (d1.ult(d2))
+ return ConstantRange(Lower, CR.Upper);
+ else
+ return ConstantRange(CR.Lower, Upper);
}
- if (Upper.ult(CR.Lower) && Lower.ult(CR.Upper)) {
- APInt d1 = CR.Lower - Upper, d2 = Lower - CR.Lower;
+ // ----U L----- : this
+ // L----U : CR
+ if (Upper.ult(CR.Lower) && Lower.ult(CR.Upper))
+ return ConstantRange(CR.Lower, Upper);
- if (d1.ult(d2)) {
- U = CR.Lower + 1;
- } else {
- L = CR.Lower;
- }
- }
+ // ------U L---- : this
+ // L-----U : CR
+ if (CR.Lower.ult(Upper) && CR.Upper.ult(Lower))
+ return ConstantRange(Lower, CR.Upper);
}
- if (isWrappedSet() && CR.isWrappedSet()) {
- if (Lower.ult(CR.Upper) || CR.Lower.ult(Upper))
- return ConstantRange(getBitWidth());
+ assert(isWrappedSet() && CR.isWrappedSet() &&
+ "ConstantRange::unionWith missed wrapped union unwrapped case");
- if (CR.Upper.ugt(U)) {
- U = CR.Upper;
- }
+ // ------U L---- and ------U L---- : this
+ // -U L----------- and ------------U L : CR
+ if (CR.Lower.ule(Upper) || Lower.ule(CR.Upper))
+ return ConstantRange(getBitWidth());
- if (CR.Lower.ult(L)) {
- L = CR.Lower;
- }
-
- if (L == U) return ConstantRange(getBitWidth());
- }
+ APInt L = Lower, U = Upper;
+ if (CR.Upper.ugt(U))
+ U = CR.Upper;
+ if (CR.Lower.ult(L))
+ L = CR.Lower;
return ConstantRange(L, U);
}
return ConstantRange(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.
+ConstantRange ConstantRange::signExtend(uint32_t DstTySize) const {
+ unsigned SrcTySize = getBitWidth();
+ assert(SrcTySize < DstTySize && "Not a value extension");
+ if (isFullSet()) {
+ return ConstantRange(APInt::getHighBitsSet(DstTySize,DstTySize-SrcTySize+1),
+ APInt::getLowBitsSet(DstTySize, SrcTySize-1) + 1);
+ }
+
+ APInt L = Lower; L.sext(DstTySize);
+ APInt U = Upper; U.sext(DstTySize);
+ return ConstantRange(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
ConstantRange ConstantRange::truncate(uint32_t DstTySize) const {
unsigned SrcTySize = getBitWidth();
assert(SrcTySize > DstTySize && "Not a value truncation");
- APInt Size = APInt::getMaxValue(DstTySize).zext(SrcTySize);
+ APInt Size(APInt::getLowBitsSet(SrcTySize, DstTySize));
if (isFullSet() || getSetSize().ugt(Size))
return ConstantRange(DstTySize);
return ConstantRange(L, U);
}
+/// zextOrTrunc - make this range have the bit width given by \p DstTySize. The
+/// value is zero extended, truncated, or left alone to make it that width.
+ConstantRange ConstantRange::zextOrTrunc(uint32_t DstTySize) const {
+ unsigned SrcTySize = getBitWidth();
+ if (SrcTySize > DstTySize)
+ return truncate(DstTySize);
+ else if (SrcTySize < DstTySize)
+ return zeroExtend(DstTySize);
+ else
+ return *this;
+}
+
+/// sextOrTrunc - make this range have the bit width given by \p DstTySize. The
+/// value is sign extended, truncated, or left alone to make it that width.
+ConstantRange ConstantRange::sextOrTrunc(uint32_t DstTySize) const {
+ unsigned SrcTySize = getBitWidth();
+ if (SrcTySize > DstTySize)
+ return truncate(DstTySize);
+ else if (SrcTySize < DstTySize)
+ return signExtend(DstTySize);
+ else
+ return *this;
+}
+
+ConstantRange
+ConstantRange::add(const ConstantRange &Other) const {
+ if (isEmptySet() || Other.isEmptySet())
+ return ConstantRange(getBitWidth(), /*isFullSet=*/false);
+ if (isFullSet() || Other.isFullSet())
+ return ConstantRange(getBitWidth(), /*isFullSet=*/true);
+
+ 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: If either operand is a single element and the multiply is known to
+ // be non-wrapping, round the result min and max value to the appropriate
+ // multiple of that element. If wrapping is possible, at least adjust the
+ // range according to the greatest power-of-two factor of the single element.
+
+ if (isEmptySet() || Other.isEmptySet())
+ return ConstantRange(getBitWidth(), /*isFullSet=*/false);
+ if (isFullSet() || Other.isFullSet())
+ return ConstantRange(getBitWidth(), /*isFullSet=*/true);
+
+ APInt this_min = getUnsignedMin().zext(getBitWidth() * 2);
+ APInt this_max = getUnsignedMax().zext(getBitWidth() * 2);
+ APInt Other_min = Other.getUnsignedMin().zext(getBitWidth() * 2);
+ APInt Other_max = Other.getUnsignedMax().zext(getBitWidth() * 2);
+
+ ConstantRange Result_zext = ConstantRange(this_min * Other_min,
+ this_max * Other_max + 1);
+ return Result_zext.truncate(getBitWidth());
+}
+
+ConstantRange
+ConstantRange::smax(const ConstantRange &Other) const {
+ // X smax Y is: range(smax(X_smin, Y_smin),
+ // smax(X_smax, Y_smax))
+ if (isEmptySet() || Other.isEmptySet())
+ return ConstantRange(getBitWidth(), /*isFullSet=*/false);
+ APInt NewL = APIntOps::smax(getSignedMin(), Other.getSignedMin());
+ APInt NewU = APIntOps::smax(getSignedMax(), Other.getSignedMax()) + 1;
+ if (NewU == NewL)
+ return ConstantRange(getBitWidth(), /*isFullSet=*/true);
+ return ConstantRange(NewL, NewU);
+}
+
+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);
+ 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 &RHS) const {
+ if (isEmptySet() || RHS.isEmptySet() || RHS.getUnsignedMax() == 0)
+ return ConstantRange(getBitWidth(), /*isFullSet=*/false);
+ if (RHS.isFullSet())
+ return ConstantRange(getBitWidth(), /*isFullSet=*/true);
+
+ APInt Lower = getUnsignedMin().udiv(RHS.getUnsignedMax());
+
+ APInt RHS_umin = RHS.getUnsignedMin();
+ if (RHS_umin == 0) {
+ // We want the lowest value in RHS excluding zero. Usually that would be 1
+ // except for a range in the form of [X, 1) in which case it would be X.
+ if (RHS.getUpper() == 1)
+ RHS_umin = RHS.getLower();
+ else
+ RHS_umin = APInt(getBitWidth(), 1);
+ }
+
+ APInt Upper = getUnsignedMax().udiv(RHS_umin) + 1;
+
+ // If the LHS is Full and the RHS is a wrapped interval containing 1 then
+ // this could occur.
+ if (Lower == Upper)
+ return ConstantRange(getBitWidth(), /*isFullSet=*/true);
+
+ return ConstantRange(Lower, Upper);
+}
+
+ConstantRange
+ConstantRange::shl(const ConstantRange &Amount) const {
+ if (isEmptySet())
+ return *this;
+
+ APInt min = getUnsignedMin() << Amount.getUnsignedMin();
+ APInt max = getUnsignedMax() << Amount.getUnsignedMax();
+
+ // there's no overflow!
+ APInt Zeros(getBitWidth(), getUnsignedMax().countLeadingZeros());
+ if (Zeros.uge(Amount.getUnsignedMax()))
+ return ConstantRange(min, max);
+
+ // FIXME: implement the other tricky cases
+ return ConstantRange(getBitWidth());
+}
+
+ConstantRange
+ConstantRange::ashr(const ConstantRange &Amount) const {
+ if (isEmptySet())
+ return *this;
+
+ APInt min = getUnsignedMax().ashr(Amount.getUnsignedMin());
+ APInt max = getUnsignedMin().ashr(Amount.getUnsignedMax());
+ return ConstantRange(min, max);
+}
+
+ConstantRange
+ConstantRange::lshr(const ConstantRange &Amount) const {
+ if (isEmptySet())
+ return *this;
+
+ APInt min = getUnsignedMax().lshr(Amount.getUnsignedMin());
+ APInt max = getUnsignedMin().lshr(Amount.getUnsignedMax());
+ return ConstantRange(min, max);
+}
+
/// print - Print out the bounds to a stream...
///
-void ConstantRange::print(std::ostream &OS) const {
- OS << "[" << Lower.toStringSigned(10) << ","
- << Upper.toStringSigned(10) << " )";
+void ConstantRange::print(raw_ostream &OS) const {
+ if (isFullSet())
+ OS << "full-set";
+ else if (isEmptySet())
+ OS << "empty-set";
+ else
+ OS << "[" << Lower << "," << Upper << ")";
}
/// dump - Allow printing from a debugger easily...
///
void ConstantRange::dump() const {
- print(cerr);
+ print(dbgs());
}
+
+
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