APInt &KnownZero, APInt &KnownOne,
APInt &KnownZero2, APInt &KnownOne2,
const DataLayout *TD, unsigned Depth) {
- if (!Add) {
- if (ConstantInt *CLHS = dyn_cast<ConstantInt>(Op0)) {
- // We know that the top bits of C-X are clear if X contains less bits
- // than C (i.e. no wrap-around can happen). For example, 20-X is
- // positive if we can prove that X is >= 0 and < 16.
- if (!CLHS->getValue().isNegative()) {
- unsigned BitWidth = KnownZero.getBitWidth();
- unsigned NLZ = (CLHS->getValue()+1).countLeadingZeros();
- // NLZ can't be BitWidth with no sign bit
- APInt MaskV = APInt::getHighBitsSet(BitWidth, NLZ+1);
- llvm::computeKnownBits(Op1, KnownZero2, KnownOne2, TD, Depth+1);
-
- // If all of the MaskV bits are known to be zero, then we know the
- // output top bits are zero, because we now know that the output is
- // from [0-C].
- if ((KnownZero2 & MaskV) == MaskV) {
- unsigned NLZ2 = CLHS->getValue().countLeadingZeros();
- // Top bits known zero.
- KnownZero = APInt::getHighBitsSet(BitWidth, NLZ2);
- }
- }
- }
- }
-
unsigned BitWidth = KnownZero.getBitWidth();
- // If one of the operands has trailing zeros, then the bits that the
- // other operand has in those bit positions will be preserved in the
- // result. For an add, this works with either operand. For a subtract,
- // this only works if the known zeros are in the right operand.
+ // If an initial sequence of bits in the result is not needed, the
+ // corresponding bits in the operands are not needed.
APInt LHSKnownZero(BitWidth, 0), LHSKnownOne(BitWidth, 0);
llvm::computeKnownBits(Op0, LHSKnownZero, LHSKnownOne, TD, Depth+1);
- unsigned LHSKnownZeroOut = LHSKnownZero.countTrailingOnes();
-
llvm::computeKnownBits(Op1, KnownZero2, KnownOne2, TD, Depth+1);
- unsigned RHSKnownZeroOut = KnownZero2.countTrailingOnes();
-
- // Determine which operand has more trailing zeros, and use that
- // many bits from the other operand.
- if (LHSKnownZeroOut > RHSKnownZeroOut) {
- if (Add) {
- APInt Mask = APInt::getLowBitsSet(BitWidth, LHSKnownZeroOut);
- KnownZero |= KnownZero2 & Mask;
- KnownOne |= KnownOne2 & Mask;
- } else {
- // If the known zeros are in the left operand for a subtract,
- // fall back to the minimum known zeros in both operands.
- KnownZero |= APInt::getLowBitsSet(BitWidth,
- std::min(LHSKnownZeroOut,
- RHSKnownZeroOut));
- }
- } else if (RHSKnownZeroOut >= LHSKnownZeroOut) {
- APInt Mask = APInt::getLowBitsSet(BitWidth, RHSKnownZeroOut);
- KnownZero |= LHSKnownZero & Mask;
- KnownOne |= LHSKnownOne & Mask;
+
+ // Carry in a 1 for a subtract, rather than a 0.
+ APInt CarryIn(BitWidth, 0);
+ if (!Add) {
+ // Sum = LHS + ~RHS + 1
+ std::swap(KnownZero2, KnownOne2);
+ CarryIn.setBit(0);
}
+ APInt PossibleSumZero = ~LHSKnownZero + ~KnownZero2 + CarryIn;
+ APInt PossibleSumOne = LHSKnownOne + KnownOne2 + CarryIn;
+
+ // Compute known bits of the carry.
+ APInt CarryKnownZero = ~(PossibleSumZero ^ LHSKnownZero ^ KnownZero2);
+ APInt CarryKnownOne = PossibleSumOne ^ LHSKnownOne ^ KnownOne2;
+
+ // Compute set of known bits (where all three relevant bits are known).
+ APInt LHSKnown = LHSKnownZero | LHSKnownOne;
+ APInt RHSKnown = KnownZero2 | KnownOne2;
+ APInt CarryKnown = CarryKnownZero | CarryKnownOne;
+ APInt Known = LHSKnown & RHSKnown & CarryKnown;
+
+ assert((PossibleSumZero & Known) == (PossibleSumOne & Known) &&
+ "known bits of sum differ");
+
+ // Compute known bits of the result.
+ KnownZero = ~PossibleSumOne & Known;
+ KnownOne = PossibleSumOne & Known;
+
// Are we still trying to solve for the sign bit?
- if (!KnownZero.isNegative() && !KnownOne.isNegative()) {
+ if (!Known.isNegative()) {
if (NSW) {
- if (Add) {
- // Adding two positive numbers can't wrap into negative
- if (LHSKnownZero.isNegative() && KnownZero2.isNegative())
- KnownZero |= APInt::getSignBit(BitWidth);
- // and adding two negative numbers can't wrap into positive.
- else if (LHSKnownOne.isNegative() && KnownOne2.isNegative())
- KnownOne |= APInt::getSignBit(BitWidth);
- } else {
- // Subtracting a negative number from a positive one can't wrap
- if (LHSKnownZero.isNegative() && KnownOne2.isNegative())
- KnownZero |= APInt::getSignBit(BitWidth);
- // neither can subtracting a positive number from a negative one.
- else if (LHSKnownOne.isNegative() && KnownZero2.isNegative())
- KnownOne |= APInt::getSignBit(BitWidth);
- }
+ // Adding two non-negative numbers, or subtracting a negative number from
+ // a non-negative one, can't wrap into negative.
+ if (LHSKnownZero.isNegative() && KnownZero2.isNegative())
+ KnownZero |= APInt::getSignBit(BitWidth);
+ // Adding two negative numbers, or subtracting a non-negative number from
+ // a negative one, can't wrap into non-negative.
+ else if (LHSKnownOne.isNegative() && KnownOne2.isNegative())
+ KnownOne |= APInt::getSignBit(BitWidth);
}
}
}