Revert "Rollback Number class changes; show the fix works without side effects"

This reverts commit 8743be8eae.
This commit is contained in:
Ed Hennis
2026-06-06 14:35:35 -04:00
parent 8743be8eae
commit c165af497e
2 changed files with 185 additions and 138 deletions

View File

@@ -51,37 +51,43 @@ namespace detail {
* compile time. Doing it at runtime would be pretty wasteful and
* inefficient.
*/
constexpr std::size_t kInt64Digits = 20;
consteval std::array<std::uint64_t, kInt64Digits>
constexpr std::size_t kUint64Digits = 20;
constexpr std::size_t kUint128Digits = 39;
template <typename T, std::size_t Digits>
consteval std::array<T, Digits>
buildPowersOfTen()
{
std::array<std::uint64_t, kInt64Digits> result{};
std::array<T, Digits> result{};
std::uint64_t power = 1;
T power = 1;
std::size_t exponent = 0;
// end the loop early so it doesn't overflow;
for (; exponent < result.size() - 1; ++exponent, power *= 10)
{
result[exponent] = power;
if (power > std::numeric_limits<std::uint64_t>::max() / 10)
if (power > std::numeric_limits<T>::max() / 10)
throw std::logic_error("Power of 10 table is too big");
}
result[exponent] = power;
if (power < std::numeric_limits<std::uint64_t>::max() / 10)
throw std::logic_error("Power of 10 table is not big enough for the uint64_t type");
if (power < std::numeric_limits<T>::max() / 10)
throw std::logic_error("Power of 10 table is not big enough for the given type");
return result;
}
} // namespace detail
constexpr std::array<std::uint64_t, detail::kInt64Digits> kPowerOfTen = detail::buildPowersOfTen();
template <typename T = std::uint64_t, std::size_t Digits = detail::kUint64Digits>
constexpr std::array<T, Digits> kPowerOfTenImpl = detail::buildPowersOfTen<T, Digits>();
constexpr auto kPowerOfTen = kPowerOfTenImpl<std::uint64_t, detail::kUint64Digits>;
static_assert(kPowerOfTen[0] == 1);
static_assert(kPowerOfTen[1] == 10);
static_assert(kPowerOfTen[10] == 10'000'000'000);
static_assert(
isPowerOfTen(kPowerOfTen.back()) && *logTen(kPowerOfTen.back()) == detail::kInt64Digits - 1);
isPowerOfTen(kPowerOfTen.back()) && *logTen(kPowerOfTen.back()) == detail::kUint64Digits - 1);
/** MantissaRange defines a range for the mantissa of a normalized Number.
*
@@ -141,7 +147,7 @@ struct MantissaRange final
int const log{getExponent(scale)};
rep const min{getMin(scale, log)};
rep const max{(min * 10) - 1};
CuspRoundingFix const cuspRoundingFixEnabled{isCuspFixEnabled(scale)};
CuspRoundingFix const cuspRoundingFix{isCuspFixEnabled(scale)};
static MantissaRange const&
getMantissaRange(MantissaScale scale);
@@ -543,9 +549,15 @@ private:
// changing the values inside the range.
static thread_local std::reference_wrapper<MantissaRange const> kRange;
class Guard;
void
normalize(MantissaRange const& range);
// Guard has the fields that we need, as well as MantissaRange, so if we have a guard, use that
void
normalize(Guard const& guard);
/** Normalize Number components to an arbitrary range.
*
* min/maxMantissa are parameters because this function is used by both
@@ -560,7 +572,7 @@ private:
int& exponent,
internalrep const& minMantissa,
internalrep const& maxMantissa,
MantissaRange::CuspRoundingFix cuspRoundingFixEnabled);
MantissaRange::CuspRoundingFix cuspRoundingFix);
template <class T>
friend void
@@ -570,7 +582,7 @@ private:
int& exponent,
MantissaRange::rep const& minMantissa,
MantissaRange::rep const& maxMantissa,
MantissaRange::CuspRoundingFix cuspRoundingFixEnabled,
MantissaRange::CuspRoundingFix cuspRoundingFix,
bool dropped);
[[nodiscard]] bool
@@ -588,8 +600,6 @@ private:
// UB, and can vary across compilers.
static internalrep
externalToInternal(rep mantissa);
class Guard;
};
constexpr Number::Number(bool negative, internalrep mantissa, int exponent, Unchecked) noexcept

View File

@@ -65,7 +65,7 @@ MantissaRange::getRanges()
static_assert(kRange.log == 15);
static_assert(kRange.min < Number::kMaxRep);
static_assert(kRange.max < Number::kMaxRep);
static_assert(kRange.cuspRoundingFixEnabled == CuspRoundingFix::Disabled);
static_assert(kRange.cuspRoundingFix == CuspRoundingFix::Disabled);
}
{
[[maybe_unused]]
@@ -76,7 +76,7 @@ MantissaRange::getRanges()
static_assert(kRange.log == 18);
static_assert(kRange.min < Number::kMaxRep);
static_assert(kRange.max > Number::kMaxRep);
static_assert(kRange.cuspRoundingFixEnabled == CuspRoundingFix::Disabled);
static_assert(kRange.cuspRoundingFix == CuspRoundingFix::Disabled);
}
{
[[maybe_unused]]
@@ -87,7 +87,7 @@ MantissaRange::getRanges()
static_assert(kRange.log == 18);
static_assert(kRange.min < Number::kMaxRep);
static_assert(kRange.max > Number::kMaxRep);
static_assert(kRange.cuspRoundingFixEnabled == CuspRoundingFix::Enabled);
static_assert(kRange.cuspRoundingFix == CuspRoundingFix::Enabled);
}
return map;
}();
@@ -171,7 +171,21 @@ class Number::Guard
std::uint8_t sbit_ : 1 {0}; // the sign of the guard digits
public:
explicit Guard() = default;
internalrep const minMantissa_;
internalrep const maxMantissa_;
MantissaRange::CuspRoundingFix const cuspRoundingFix_;
explicit Guard(
internalrep const& minMantissa,
internalrep const& maxMantissa,
MantissaRange::CuspRoundingFix cuspRoundingFix)
: minMantissa_(minMantissa), maxMantissa_(maxMantissa), cuspRoundingFix_(cuspRoundingFix)
{
}
explicit Guard(MantissaRange const& range) : Guard(range.min, range.max, range.cuspRoundingFix)
{
}
// set & test the sign bit
void
@@ -194,6 +208,10 @@ public:
unsigned
pop() noexcept;
// if true, there are no digits in the guard, including dropped digits (xbit_)
bool
empty() const noexcept;
/** Drop a digit from the mantissa, and increment the exponent, storing the dropped digit in
* this Guard.
*
@@ -206,28 +224,35 @@ public:
void
doDropDigit(T& mantissa, int& exponent) noexcept;
enum class Round {
// The result is exact. No rounding is needed. Only used if cuspRoundingFix is enabled.
Exact = -2,
// Round down. Since we use integer math, that usually means no change is needed.
// Exceptions are for when the result is between kMaxRap and kMaxRepUp (round to kMaxRep),
// or after subtraction where _any_ remainder will modify the result. The latter is what
// distinguishes Exact from Down.
Down = -1,
// The result was exactly half-way between two integers. This will round to even.
Even = 0,
// Round up. Always adds 1 (or subtracts 1 in some cases if cuspRoundingFix is not enabled)
Up = 1,
};
// Indicate round direction: 1 is up, -1 is down, 0 is even
// This enables the client to round towards nearest, and on
// tie, round towards even.
[[nodiscard]] int
[[nodiscard]] Round
round() const noexcept;
// Modify the result to the correctly rounded value
template <UnsignedMantissa T>
void
doRoundUp(
bool& negative,
T& mantissa,
int& exponent,
internalrep const& minMantissa,
internalrep const& maxMantissa,
MantissaRange::CuspRoundingFix cuspRoundingFixEnabled,
std::string location);
doRoundUp(bool& negative, T& mantissa, int& exponent, std::string location);
// Modify the result to the correctly rounded value
template <UnsignedMantissa T>
void
doRoundDown(bool& negative, T& mantissa, int& exponent, internalrep const& minMantissa);
doRoundDown(bool& negative, T& mantissa, int& exponent);
// Modify the result to the correctly rounded value
void
@@ -239,7 +264,7 @@ private:
template <UnsignedMantissa T>
void
bringIntoRange(bool& negative, T& mantissa, int& exponent, internalrep const& minMantissa);
bringIntoRange(bool& negative, T& mantissa, int& exponent);
};
inline void
@@ -289,6 +314,12 @@ Number::Guard::pop() noexcept
return d;
}
inline bool
Number::Guard::empty() const noexcept
{
return digits_ == 0 && !xbit_;
}
template <class T>
void
Number::Guard::doDropDigit(T& mantissa, int& exponent) noexcept
@@ -314,54 +345,56 @@ Number::Guard::doDropDigit<uint128_t>(uint128_t& mantissa, int& exponent) noexce
// -1 if Guard is less than half
// 0 if Guard is exactly half
// 1 if Guard is greater than half
int
Number::Guard::Round
Number::Guard::round() const noexcept
{
auto mode = Number::getround();
if (cuspRoundingFix_ != MantissaRange::CuspRoundingFix::Disabled && empty())
{
// No remainder
return Round::Exact;
}
if (mode == RoundingMode::TowardsZero)
return -1;
return Round::Down;
if (mode == RoundingMode::Downward)
{
if (sbit_)
{
if (digits_ > 0 || xbit_)
return 1;
return Round::Up;
}
return -1;
return Round::Down;
}
if (mode == RoundingMode::Upward)
{
if (sbit_)
return -1;
return Round::Down;
if (digits_ > 0 || xbit_)
return 1;
return -1;
return Round::Up;
return Round::Down;
}
// assume round to nearest if mode is not one of the predefined values
if (digits_ > 0x5000'0000'0000'0000)
return 1;
return Round::Up;
if (digits_ < 0x5000'0000'0000'0000)
return -1;
return Round::Down;
if (xbit_)
return 1;
return 0;
return Round::Up;
return Round::Even;
}
template <UnsignedMantissa T>
void
Number::Guard::bringIntoRange(
bool& negative,
T& mantissa,
int& exponent,
internalrep const& minMantissa)
Number::Guard::bringIntoRange(bool& negative, T& mantissa, int& exponent)
{
// Bring mantissa back into the minMantissa / maxMantissa range AFTER
// rounding
if (mantissa < minMantissa)
if (mantissa < minMantissa_)
{
mantissa *= 10;
--exponent;
@@ -378,22 +411,15 @@ Number::Guard::bringIntoRange(
template <UnsignedMantissa T>
void
Number::Guard::doRoundUp(
bool& negative,
T& mantissa,
int& exponent,
internalrep const& minMantissa,
internalrep const& maxMantissa,
MantissaRange::CuspRoundingFix cuspRoundingFixEnabled,
std::string location)
Number::Guard::doRoundUp(bool& negative, T& mantissa, int& exponent, std::string location)
{
auto r = round();
if (r == 1 || (r == 0 && (mantissa & 1) == 1))
if (r == Round::Up || (r == Round::Even && (mantissa & 1) == 1))
{
auto const safeToIncrement = [&maxMantissa](auto const& mantissa) {
return mantissa < maxMantissa && mantissa < kMaxRep;
auto const safeToIncrement = [this](auto const& mantissa) {
return mantissa < maxMantissa_ && mantissa < kMaxRep;
};
if (cuspRoundingFixEnabled == MantissaRange::CuspRoundingFix::Enabled)
if (cuspRoundingFix_ == MantissaRange::CuspRoundingFix::Enabled)
{
// Ensure mantissa after incrementing fits within both the
// min/maxMantissa range and is a valid "rep".
@@ -414,14 +440,7 @@ Number::Guard::doRoundUp(
safeToIncrement(mantissa),
"xrpl::Number::Guard::doRoundUp",
"can't recurse more than once");
doRoundUp(
negative,
mantissa,
exponent,
minMantissa,
maxMantissa,
cuspRoundingFixEnabled,
location);
doRoundUp(negative, mantissa, exponent, location);
return;
}
}
@@ -432,7 +451,7 @@ Number::Guard::doRoundUp(
++mantissa;
// Ensure mantissa after incrementing fits within both the
// min/maxMantissa range and is a valid "rep".
if (mantissa > maxMantissa || mantissa > kMaxRep)
if (mantissa > maxMantissa_ || mantissa > kMaxRep)
{
// Don't use doDropDigit here
mantissa /= 10;
@@ -440,30 +459,38 @@ Number::Guard::doRoundUp(
}
}
}
bringIntoRange(negative, mantissa, exponent, minMantissa);
bringIntoRange(negative, mantissa, exponent);
if (exponent > kMaxExponent)
Throw<std::overflow_error>(std::string(location));
}
template <UnsignedMantissa T>
void
Number::Guard::doRoundDown(
bool& negative,
T& mantissa,
int& exponent,
internalrep const& minMantissa)
Number::Guard::doRoundDown(bool& negative, T& mantissa, int& exponent)
{
auto r = round();
if (r == 1 || (r == 0 && (mantissa & 1) == 1))
if (cuspRoundingFix_ != MantissaRange::CuspRoundingFix::Disabled)
{
--mantissa;
if (mantissa < minMantissa)
// If there was any remainder, subtract 1 from the result. This is sufficient to get the
// best rounding.
if (r != Round::Exact)
{
mantissa *= 10;
--exponent;
--mantissa;
}
}
bringIntoRange(negative, mantissa, exponent, minMantissa);
else
{
if (r == Round::Up || (r == Round::Even && (mantissa & 1) == 1))
{
--mantissa;
if (mantissa < minMantissa_)
{
mantissa *= 10;
--exponent;
}
}
}
bringIntoRange(negative, mantissa, exponent);
}
// Modify the result to the correctly rounded value
@@ -471,7 +498,7 @@ void
Number::Guard::doRound(rep& drops, std::string location) const
{
auto r = round();
if (r == 1 || (r == 0 && (drops & 1) == 1))
if (r == Round::Up || (r == Round::Even && (drops & 1) == 1))
{
if (drops >= kMaxRep)
{
@@ -530,7 +557,7 @@ doNormalize(
int& exponent,
MantissaRange::rep const& minMantissa,
MantissaRange::rep const& maxMantissa,
MantissaRange::CuspRoundingFix cuspRoundingFixEnabled,
MantissaRange::CuspRoundingFix cuspRoundingFix,
bool dropped)
{
static constexpr auto kMinExponent = Number::kMinExponent;
@@ -553,7 +580,7 @@ doNormalize(
m *= 10;
--exponent;
}
Guard g;
Guard g(minMantissa, maxMantissa, cuspRoundingFix);
if (negative)
g.setNegative();
if (dropped)
@@ -598,14 +625,7 @@ doNormalize(
XRPL_ASSERT_PARTS(m <= kMaxRep, "xrpl::doNormalize", "intermediate mantissa fits in int64");
mantissa = m;
g.doRoundUp(
negative,
mantissa,
exponent,
minMantissa,
maxMantissa,
cuspRoundingFixEnabled,
"Number::normalize 2");
g.doRoundUp(negative, mantissa, exponent, "Number::normalize 2");
XRPL_ASSERT_PARTS(
mantissa >= minMantissa && mantissa <= maxMantissa,
"xrpl::doNormalize",
@@ -620,13 +640,12 @@ Number::normalize<uint128_t>(
int& exponent,
internalrep const& minMantissa,
internalrep const& maxMantissa,
MantissaRange::CuspRoundingFix cuspRoundingFixEnabled)
MantissaRange::CuspRoundingFix cuspRoundingFix)
{
// Not used by every compiler version, and thus not necessarily
// counted by coverage build
// LCOV_EXCL_START
doNormalize(
negative, mantissa, exponent, minMantissa, maxMantissa, cuspRoundingFixEnabled, false);
doNormalize(negative, mantissa, exponent, minMantissa, maxMantissa, cuspRoundingFix, false);
// LCOV_EXCL_STOP
}
@@ -638,13 +657,12 @@ Number::normalize<unsigned long long>(
int& exponent,
internalrep const& minMantissa,
internalrep const& maxMantissa,
MantissaRange::CuspRoundingFix cuspRoundingFixEnabled)
MantissaRange::CuspRoundingFix cuspRoundingFix)
{
// Not used by every compiler version, and thus not necessarily
// counted by coverage build
// LCOV_EXCL_START
doNormalize(
negative, mantissa, exponent, minMantissa, maxMantissa, cuspRoundingFixEnabled, false);
doNormalize(negative, mantissa, exponent, minMantissa, maxMantissa, cuspRoundingFix, false);
// LCOV_EXCL_STOP
}
@@ -656,16 +674,27 @@ Number::normalize<unsigned long>(
int& exponent,
internalrep const& minMantissa,
internalrep const& maxMantissa,
MantissaRange::CuspRoundingFix cuspRoundingFixEnabled)
MantissaRange::CuspRoundingFix cuspRoundingFix)
{
doNormalize(
negative, mantissa, exponent, minMantissa, maxMantissa, cuspRoundingFixEnabled, false);
doNormalize(negative, mantissa, exponent, minMantissa, maxMantissa, cuspRoundingFix, false);
}
void
Number::normalize(MantissaRange const& range)
{
normalize(negative_, mantissa_, exponent_, range.min, range.max, range.cuspRoundingFixEnabled);
normalize(negative_, mantissa_, exponent_, range.min, range.max, range.cuspRoundingFix);
}
void
Number::normalize(Guard const& guard)
{
normalize(
negative_,
mantissa_,
exponent_,
guard.minMantissa_,
guard.maxMantissa_,
guard.cuspRoundingFix_);
}
// Copy the number, but set a new exponent. Because the mantissa doesn't change,
@@ -719,7 +748,16 @@ Number::operator+=(Number const& y)
bool const yn = y.negative_;
uint128_t ym = y.mantissa_;
auto ye = y.exponent_;
Guard g;
Guard g(kRange);
auto const& minMantissa = g.minMantissa_;
auto const& maxMantissa = g.maxMantissa_;
auto const cuspRoundingFix = g.cuspRoundingFix_;
// Bring the exponents of both values into agreement, so the mantissas are on the same scale
// and can be added directly together.
// Shrink the mantissa and bring the exponent up of the value with the lower exponent. Store any
// dropped digits in the Guard.
if (xe < ye)
{
if (xn)
@@ -739,11 +777,6 @@ Number::operator+=(Number const& y)
} while (xe > ye);
}
auto const& range = kRange.get();
auto const& minMantissa = range.min;
auto const& maxMantissa = range.max;
auto const cuspRoundingFixEnabled = range.cuspRoundingFixEnabled;
if (xn == yn)
{
xm += ym;
@@ -751,14 +784,7 @@ Number::operator+=(Number const& y)
{
g.doDropDigit(xm, xe);
}
g.doRoundUp(
xn,
xm,
xe,
minMantissa,
maxMantissa,
cuspRoundingFixEnabled,
"Number::addition overflow");
g.doRoundUp(xn, xm, xe, "Number::addition overflow");
}
else
{
@@ -772,19 +798,40 @@ Number::operator+=(Number const& y)
xe = ye;
xn = yn;
}
while (xm < minMantissa && xm * 10 <= kMaxRep)
if (cuspRoundingFix == MantissaRange::CuspRoundingFix::Enabled)
{
xm *= 10;
xm -= g.pop();
--xe;
// Grow xm/xe and pull digits out of the Guard until it's a little bit larger than
// maxMantissa, so that normalize will have enough information to make an accurate
// rounding decision, but stop if the Guard empties out, because no rounding will be
// necessary. (Normalize will pad it back into range.) Note that if any digits were lost
// (xbit), the Guard will never be empty, so xm will get big.
auto const upperLimit = static_cast<uint128_t>(minMantissa) * 1000;
while (xm < upperLimit && !g.empty())
{
xm *= 10;
xm -= g.pop();
--xe;
}
}
g.doRoundDown(xn, xm, xe, minMantissa);
else
{
// Grow xm/xe and pull digits out of the Guard until it's back in range.
while (xm < minMantissa && xm * 10 <= kMaxRep)
{
xm *= 10;
xm -= g.pop();
--xe;
}
}
// Round down, based on whether there is any data left in the Guard (depending on
// cuspRoundingFix)
g.doRoundDown(xn, xm, xe);
}
doNormalize(xn, xm, xe, minMantissa, maxMantissa, cuspRoundingFix, false);
negative_ = xn;
mantissa_ = static_cast<internalrep>(xm);
exponent_ = xe;
normalize(range);
return *this;
}
@@ -818,14 +865,11 @@ Number::operator*=(Number const& y)
auto ze = xe + ye;
auto zs = xs * ys;
bool zn = (zs == -1);
Guard g;
Guard g(kRange);
if (zn)
g.setNegative();
auto const& range = kRange.get();
auto const& minMantissa = range.min;
auto const& maxMantissa = range.max;
auto const cuspRoundingFixEnabled = range.cuspRoundingFixEnabled;
auto const& maxMantissa = g.maxMantissa_;
while (zm > maxMantissa || zm > kMaxRep)
{
@@ -834,19 +878,12 @@ Number::operator*=(Number const& y)
xm = static_cast<internalrep>(zm);
xe = ze;
g.doRoundUp(
zn,
xm,
xe,
minMantissa,
maxMantissa,
cuspRoundingFixEnabled,
"Number::multiplication overflow : exponent is " + std::to_string(xe));
g.doRoundUp(zn, xm, xe, "Number::multiplication overflow : exponent is " + std::to_string(xe));
negative_ = zn;
mantissa_ = xm;
exponent_ = xe;
normalize(range);
normalize(g);
return *this;
}
@@ -882,7 +919,7 @@ Number::operator/=(Number const& y)
auto const& range = kRange.get();
auto const& minMantissa = range.min;
auto const& maxMantissa = range.max;
auto const cuspRoundingFixEnabled = range.cuspRoundingFixEnabled;
auto const cuspRoundingFix = range.cuspRoundingFix;
// Division operates on two large integers (16-digit for small
// mantissas, 19-digit for large) using integer math. If the values
@@ -1014,14 +1051,14 @@ Number::operator/=(Number const& y)
// rounding fix is enabled, flag if there is still
// a remainder from stage 2.
bool const useTrailingRemainder =
cuspRoundingFixEnabled == MantissaRange::CuspRoundingFix::Enabled;
cuspRoundingFix == MantissaRange::CuspRoundingFix::Enabled;
if (useTrailingRemainder)
{
dropped = partialNumerator % dm != 0;
}
}
}
doNormalize(zp, zm, ze, minMantissa, maxMantissa, cuspRoundingFixEnabled, dropped);
doNormalize(zp, zm, ze, minMantissa, maxMantissa, cuspRoundingFix, dropped);
negative_ = zp;
mantissa_ = static_cast<internalrep>(zm);
exponent_ = ze;
@@ -1035,7 +1072,7 @@ operator rep() const
{
rep drops = mantissa();
int offset = exponent();
Guard g;
Guard g(kRange);
if (drops != 0)
{
if (negative_)