template <typename INT>
ValueWithRealFlags<Real> SCALE(const INT &by,
Rounding rounding = TargetCharacteristics::defaultRounding) const {
- auto expo{exponentBias + by.ToInt64()};
+ // Normalize a fraction with just its LSB set and then multiply.
+ // (Set the LSB, not the MSB, in case the scale factor needs to
+ // be subnormal.)
+ auto adjust{exponentBias + binaryPrecision - 1};
+ auto expo{adjust + by.ToInt64()};
if (IsZero()) {
expo = exponentBias; // ignore by, don't overflow
} else if (by > INT{maxExponent}) {
- expo = maxExponent;
- } else if (by < INT{-exponentBias}) {
+ expo = maxExponent + binaryPrecision - 1;
+ } else if (by < INT{-adjust}) {
expo = -1;
}
Real twoPow;
RealFlags flags{
- twoPow.Normalize(false, static_cast<int>(expo), Fraction::MASKL(1))};
+ twoPow.Normalize(false, static_cast<int>(expo), Fraction::MASKR(1))};
ValueWithRealFlags<Real> result{Multiply(twoPow, rounding)};
result.flags |= flags;
return result;
} else if (IsZero()) {
return *this;
} else {
- Real result;
- result.Normalize(IsNegative(), expo + exponentBias - 1, GetFraction());
- return result;
+ return SCALE(Integer<32>(expo - UnbiasedExponent() - 1)).value;
}
}
logical, parameter :: test_set_exponent_0 = set_exponent(1., 0) == 0.5
logical, parameter :: test_set_exponent_1 = set_exponent(1., 1) == 1.
logical, parameter :: test_set_exponent_2 = set_exponent(1., 2) == 2.
+ logical, parameter :: test_set_exponent_min = set_exponent(1., -149) == 1.40129846432481707092372958328991613128026194187651577175706828388979108268586060148663818836212158203125e-45_4
end module