//===----------------------------------------------------------------------===//
#include "llvm/ADT/APFloat.h"
+#include "llvm/ADT/APSInt.h"
#include "llvm/ADT/StringRef.h"
#include "llvm/ADT/FoldingSet.h"
#include "llvm/Support/ErrorHandling.h"
{
int unsignedExponent;
bool negative, overflow;
- int exponent;
+ int exponent = 0;
assert(p != end && "Exponent has no digits");
}
APFloat::APFloat(const fltSemantics &ourSemantics, integerPart value)
-{
+ : exponent2(0), sign2(0) {
assertArithmeticOK(ourSemantics);
initialize(&ourSemantics);
sign = 0;
normalize(rmNearestTiesToEven, lfExactlyZero);
}
-APFloat::APFloat(const fltSemantics &ourSemantics) {
+APFloat::APFloat(const fltSemantics &ourSemantics) : exponent2(0), sign2(0) {
assertArithmeticOK(ourSemantics);
initialize(&ourSemantics);
category = fcZero;
sign = false;
}
-APFloat::APFloat(const fltSemantics &ourSemantics, uninitializedTag tag) {
+APFloat::APFloat(const fltSemantics &ourSemantics, uninitializedTag tag)
+ : exponent2(0), sign2(0) {
assertArithmeticOK(ourSemantics);
// Allocates storage if necessary but does not initialize it.
initialize(&ourSemantics);
APFloat::APFloat(const fltSemantics &ourSemantics,
fltCategory ourCategory, bool negative)
-{
+ : exponent2(0), sign2(0) {
assertArithmeticOK(ourSemantics);
initialize(&ourSemantics);
category = ourCategory;
}
APFloat::APFloat(const fltSemantics &ourSemantics, StringRef text)
-{
+ : exponent2(0), sign2(0) {
assertArithmeticOK(ourSemantics);
initialize(&ourSemantics);
convertFromString(text, rmNearestTiesToEven);
}
-APFloat::APFloat(const APFloat &rhs)
-{
+APFloat::APFloat(const APFloat &rhs) : exponent2(0), sign2(0) {
initialize(rhs.semantics);
assign(rhs);
}
/* Our callers should never cause us to overflow. */
assert(carry == 0);
+ (void)carry;
}
/* Add the significand of the RHS. Returns the carry flag. */
APFloat extendedAddend(*addend);
status = extendedAddend.convert(extendedSemantics, rmTowardZero, &ignored);
assert(status == opOK);
+ (void)status;
lost_fraction = addOrSubtractSignificand(extendedAddend, false);
/* Restore our state. */
assert(lost_fraction != lfExactlyZero);
switch (rounding_mode) {
- default:
- llvm_unreachable(0);
-
case rmNearestTiesToAway:
return lost_fraction == lfExactlyHalf || lost_fraction == lfMoreThanHalf;
if (omsb) {
/* OMSB is numbered from 1. We want to place it in the integer
- bit numbered PRECISON if possible, with a compensating change in
+ bit numbered PRECISION if possible, with a compensating change in
the exponent. */
exponentChange = omsb - semantics->precision;
/* The code above is intended to ensure that no borrow is
necessary. */
assert(!carry);
+ (void)carry;
} else {
if (bits > 0) {
APFloat temp_rhs(rhs);
/* We have a guard bit; generating a carry cannot happen. */
assert(!carry);
+ (void)carry;
}
return lost_fraction;
lostFraction lostFraction;
unsigned int newPartCount, oldPartCount;
opStatus fs;
+ int shift;
+ const fltSemantics &fromSemantics = *semantics;
- assertArithmeticOK(*semantics);
+ assertArithmeticOK(fromSemantics);
assertArithmeticOK(toSemantics);
lostFraction = lfExactlyZero;
newPartCount = partCountForBits(toSemantics.precision + 1);
oldPartCount = partCount();
+ shift = toSemantics.precision - fromSemantics.precision;
+
+ bool X86SpecialNan = false;
+ if (&fromSemantics == &APFloat::x87DoubleExtended &&
+ &toSemantics != &APFloat::x87DoubleExtended && category == fcNaN &&
+ (!(*significandParts() & 0x8000000000000000ULL) ||
+ !(*significandParts() & 0x4000000000000000ULL))) {
+ // x86 has some unusual NaNs which cannot be represented in any other
+ // format; note them here.
+ X86SpecialNan = true;
+ }
+
+ // If this is a truncation, perform the shift before we narrow the storage.
+ if (shift < 0 && (category==fcNormal || category==fcNaN))
+ lostFraction = shiftRight(significandParts(), oldPartCount, -shift);
- /* Handle storage complications. If our new form is wider,
- re-allocate our bit pattern into wider storage. If it is
- narrower, we ignore the excess parts, but if narrowing to a
- single part we need to free the old storage.
- Be careful not to reference significandParts for zeroes
- and infinities, since it aborts. */
+ // Fix the storage so it can hold to new value.
if (newPartCount > oldPartCount) {
+ // The new type requires more storage; make it available.
integerPart *newParts;
newParts = new integerPart[newPartCount];
APInt::tcSet(newParts, 0, newPartCount);
APInt::tcAssign(newParts, significandParts(), oldPartCount);
freeSignificand();
significand.parts = newParts;
- } else if (newPartCount < oldPartCount) {
- /* Capture any lost fraction through truncation of parts so we get
- correct rounding whilst normalizing. */
- if (category==fcNormal)
- lostFraction = lostFractionThroughTruncation
- (significandParts(), oldPartCount, toSemantics.precision);
- if (newPartCount == 1) {
- integerPart newPart = 0;
- if (category==fcNormal || category==fcNaN)
- newPart = significandParts()[0];
- freeSignificand();
- significand.part = newPart;
- }
+ } else if (newPartCount == 1 && oldPartCount != 1) {
+ // Switch to built-in storage for a single part.
+ integerPart newPart = 0;
+ if (category==fcNormal || category==fcNaN)
+ newPart = significandParts()[0];
+ freeSignificand();
+ significand.part = newPart;
}
+ // Now that we have the right storage, switch the semantics.
+ semantics = &toSemantics;
+
+ // If this is an extension, perform the shift now that the storage is
+ // available.
+ if (shift > 0 && (category==fcNormal || category==fcNaN))
+ APInt::tcShiftLeft(significandParts(), newPartCount, shift);
+
if (category == fcNormal) {
- /* Re-interpret our bit-pattern. */
- exponent += toSemantics.precision - semantics->precision;
- semantics = &toSemantics;
fs = normalize(rounding_mode, lostFraction);
*losesInfo = (fs != opOK);
} else if (category == fcNaN) {
- int shift = toSemantics.precision - semantics->precision;
- // Do this now so significandParts gets the right answer
- const fltSemantics *oldSemantics = semantics;
- semantics = &toSemantics;
- *losesInfo = false;
- // No normalization here, just truncate
- if (shift>0)
- APInt::tcShiftLeft(significandParts(), newPartCount, shift);
- else if (shift < 0) {
- unsigned ushift = -shift;
- // Figure out if we are losing information. This happens
- // if are shifting out something other than 0s, or if the x87 long
- // double input did not have its integer bit set (pseudo-NaN), or if the
- // x87 long double input did not have its QNan bit set (because the x87
- // hardware sets this bit when converting a lower-precision NaN to
- // x87 long double).
- if (APInt::tcLSB(significandParts(), newPartCount) < ushift)
- *losesInfo = true;
- if (oldSemantics == &APFloat::x87DoubleExtended &&
- (!(*significandParts() & 0x8000000000000000ULL) ||
- !(*significandParts() & 0x4000000000000000ULL)))
- *losesInfo = true;
- APInt::tcShiftRight(significandParts(), newPartCount, ushift);
- }
+ *losesInfo = lostFraction != lfExactlyZero || X86SpecialNan;
// gcc forces the Quiet bit on, which means (float)(double)(float_sNan)
// does not give you back the same bits. This is dubious, and we
// don't currently do it. You're really supposed to get
// an invalid operation signal at runtime, but nobody does that.
fs = opOK;
} else {
- semantics = &toSemantics;
- fs = opOK;
*losesInfo = false;
+ fs = opOK;
}
return fs;
return fs;
}
+/* Same as convertToInteger(integerPart*, ...), except the result is returned in
+ an APSInt, whose initial bit-width and signed-ness are used to determine the
+ precision of the conversion.
+ */
+APFloat::opStatus
+APFloat::convertToInteger(APSInt &result,
+ roundingMode rounding_mode, bool *isExact) const
+{
+ unsigned bitWidth = result.getBitWidth();
+ SmallVector<uint64_t, 4> parts(result.getNumWords());
+ opStatus status = convertToInteger(
+ parts.data(), bitWidth, result.isSigned(), rounding_mode, isExact);
+ // Keeps the original signed-ness.
+ result = APInt(bitWidth, parts);
+ return status;
+}
+
/* Convert an unsigned integer SRC to a floating point number,
rounding according to ROUNDING_MODE. The sign of the floating
point number is not modified. */
dstCount = partCount();
precision = semantics->precision;
- /* We want the most significant PRECISON bits of SRC. There may not
+ /* We want the most significant PRECISION bits of SRC. There may not
be that many; extract what we can. */
if (precision <= omsb) {
exponent = omsb - 1;
roundingMode rounding_mode)
{
unsigned int partCount = partCountForBits(width);
- APInt api = APInt(width, partCount, parts);
+ APInt api = APInt(width, makeArrayRef(parts, partCount));
sign = false;
if (isSigned && APInt::tcExtractBit(parts, width - 1)) {
words[0] = mysignificand;
words[1] = ((uint64_t)(sign & 1) << 15) |
(myexponent & 0x7fffLL);
- return APInt(80, 2, words);
+ return APInt(80, words);
}
APInt
words[1] = ((uint64_t)(sign2 & 1) << 63) |
((myexponent2 & 0x7ff) << 52) |
(mysignificand2 & 0xfffffffffffffLL);
- return APInt(128, 2, words);
+ return APInt(128, words);
}
APInt
((myexponent & 0x7fff) << 48) |
(mysignificand2 & 0xffffffffffffLL);
- return APInt(128, 2, words);
+ return APInt(128, words);
}
APInt
llvm_unreachable(0);
}
+APFloat
+APFloat::getAllOnesValue(unsigned BitWidth, bool isIEEE)
+{
+ return APFloat(APInt::getAllOnesValue(BitWidth), isIEEE);
+}
+
APFloat APFloat::getLargest(const fltSemantics &Sem, bool Negative) {
APFloat Val(Sem, fcNormal, Negative);
significand[i] = ~((integerPart) 0);
// ...and then clear the top bits for internal consistency.
- significand[N-1] &=
- (((integerPart) 1) << ((Sem.precision % integerPartWidth) - 1)) - 1;
+ if (Sem.precision % integerPartWidth != 0)
+ significand[N-1] &=
+ (((integerPart) 1) << (Sem.precision % integerPartWidth)) - 1;
return Val;
}
Val.exponent = Sem.minExponent;
Val.zeroSignificand();
Val.significandParts()[partCountForBits(Sem.precision)-1] |=
- (((integerPart) 1) << ((Sem.precision % integerPartWidth) - 1));
+ (((integerPart) 1) << ((Sem.precision - 1) % integerPartWidth));
return Val;
}
-APFloat::APFloat(const APInt& api, bool isIEEE)
-{
+APFloat::APFloat(const APInt& api, bool isIEEE) : exponent2(0), sign2(0) {
initFromAPInt(api, isIEEE);
}
-APFloat::APFloat(float f)
-{
+APFloat::APFloat(float f) : exponent2(0), sign2(0) {
initFromAPInt(APInt::floatToBits(f));
}
-APFloat::APFloat(double d)
-{
+APFloat::APFloat(double d) : exponent2(0), sign2(0) {
initFromAPInt(APInt::doubleToBits(d));
}
// Decompose the number into an APInt and an exponent.
int exp = exponent - ((int) semantics->precision - 1);
APInt significand(semantics->precision,
- partCountForBits(semantics->precision),
- significandParts());
+ makeArrayRef(significandParts(),
+ partCountForBits(semantics->precision)));
// Set FormatPrecision if zero. We want to do this before we
// truncate trailing zeros, as those are part of the precision.
// <= semantics->precision + e * 137 / 59
// (log_2(5) ~ 2.321928 < 2.322034 ~ 137/59)
- unsigned precision = semantics->precision + 137 * texp / 59;
+ unsigned precision = semantics->precision + (137 * texp + 136) / 59;
// Multiply significand by 5^e.
// N * 5^0101 == N * 5^(1*1) * 5^(0*2) * 5^(1*4) * 5^(0*8)
for (; I != NDigits; ++I)
Str.push_back(buffer[NDigits-I-1]);
}
+
+bool APFloat::getExactInverse(APFloat *inv) const {
+ // We can only guarantee the existence of an exact inverse for IEEE floats.
+ if (semantics != &IEEEhalf && semantics != &IEEEsingle &&
+ semantics != &IEEEdouble && semantics != &IEEEquad)
+ return false;
+
+ // Special floats and denormals have no exact inverse.
+ if (category != fcNormal)
+ return false;
+
+ // Check that the number is a power of two by making sure that only the
+ // integer bit is set in the significand.
+ if (significandLSB() != semantics->precision - 1)
+ return false;
+
+ // Get the inverse.
+ APFloat reciprocal(*semantics, 1ULL);
+ if (reciprocal.divide(*this, rmNearestTiesToEven) != opOK)
+ return false;
+
+ // Avoid multiplication with a denormal, it is not safe on all platforms and
+ // may be slower than a normal division.
+ if (reciprocal.significandMSB() + 1 < reciprocal.semantics->precision)
+ return false;
+
+ assert(reciprocal.category == fcNormal &&
+ reciprocal.significandLSB() == reciprocal.semantics->precision - 1);
+
+ if (inv)
+ *inv = reciprocal;
+
+ return true;
+}
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