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[libc][NFC] Use the Sign type for DyadicFloat #78577

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Jan 18, 2024
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4 changes: 2 additions & 2 deletions libc/src/__support/FPUtil/dyadic_float.h
Original file line number Diff line number Diff line change
Expand Up @@ -49,8 +49,8 @@ template <size_t Bits> struct DyadicFloat {
normalize();
}

constexpr DyadicFloat(bool s, int e, MantissaType m)
: sign(s ? Sign::NEG : Sign::POS), exponent(e), mantissa(m) {
constexpr DyadicFloat(Sign s, int e, MantissaType m)
: sign(s), exponent(e), mantissa(m) {
normalize();
}

Expand Down
3 changes: 2 additions & 1 deletion libc/src/__support/str_to_float.h
Original file line number Diff line number Diff line change
Expand Up @@ -510,6 +510,7 @@ clinger_fast_path(ExpandedFloat<T> init_num,
RoundDirection round = RoundDirection::Nearest) {
using FPBits = typename fputil::FPBits<T>;
using StorageType = typename FPBits::StorageType;
using Sign = fputil::Sign;

StorageType mantissa = init_num.mantissa;
int32_t exp10 = init_num.exponent;
Expand All @@ -522,7 +523,7 @@ clinger_fast_path(ExpandedFloat<T> init_num,
T float_mantissa;
if constexpr (cpp::is_same_v<StorageType, cpp::UInt<128>>) {
float_mantissa = static_cast<T>(fputil::DyadicFloat<128>(
false, 0,
Sign::POS, 0,
fputil::DyadicFloat<128>::MantissaType(
{uint64_t(mantissa), uint64_t(mantissa >> 64)})));
} else {
Expand Down
21 changes: 13 additions & 8 deletions libc/src/math/generic/exp.cpp
Original file line number Diff line number Diff line change
Expand Up @@ -30,6 +30,7 @@ namespace LIBC_NAMESPACE {
using fputil::DoubleDouble;
using fputil::TripleDouble;
using Float128 = typename fputil::DyadicFloat<128>;
using Sign = fputil::Sign;

// log2(e)
constexpr double LOG2_E = 0x1.71547652b82fep+0;
Expand Down Expand Up @@ -99,14 +100,18 @@ Float128 poly_approx_f128(const Float128 &dx) {
using MType = typename Float128::MantissaType;

constexpr Float128 COEFFS_128[]{
{false, -127, MType({0, 0x8000000000000000})}, // 1.0
{false, -127, MType({0, 0x8000000000000000})}, // 1.0
{false, -128, MType({0, 0x8000000000000000})}, // 0.5
{false, -130, MType({0xaaaaaaaaaaaaaaab, 0xaaaaaaaaaaaaaaaa})}, // 1/6
{false, -132, MType({0xaaaaaaaaaaaaaaab, 0xaaaaaaaaaaaaaaaa})}, // 1/24
{false, -134, MType({0x8888888888888889, 0x8888888888888888})}, // 1/120
{false, -137, MType({0x60b60b60b60b60b6, 0xb60b60b60b60b60b})}, // 1/720
{false, -140, MType({0x00d00d00d00d00d0, 0xd00d00d00d00d00d})}, // 1/5040
{Sign::POS, -127, MType({0, 0x8000000000000000})}, // 1.0
{Sign::POS, -127, MType({0, 0x8000000000000000})}, // 1.0
{Sign::POS, -128, MType({0, 0x8000000000000000})}, // 0.5
{Sign::POS, -130, MType({0xaaaaaaaaaaaaaaab, 0xaaaaaaaaaaaaaaaa})}, // 1/6
{Sign::POS, -132,
MType({0xaaaaaaaaaaaaaaab, 0xaaaaaaaaaaaaaaaa})}, // 1/24
{Sign::POS, -134,
MType({0x8888888888888889, 0x8888888888888888})}, // 1/120
{Sign::POS, -137,
MType({0x60b60b60b60b60b6, 0xb60b60b60b60b60b})}, // 1/720
{Sign::POS, -140,
MType({0x00d00d00d00d00d0, 0xd00d00d00d00d00d})}, // 1/5040
};

Float128 p = fputil::polyeval(dx, COEFFS_128[0], COEFFS_128[1], COEFFS_128[2],
Expand Down
17 changes: 9 additions & 8 deletions libc/src/math/generic/exp10.cpp
Original file line number Diff line number Diff line change
Expand Up @@ -30,6 +30,7 @@ namespace LIBC_NAMESPACE {
using fputil::DoubleDouble;
using fputil::TripleDouble;
using Float128 = typename fputil::DyadicFloat<128>;
using Sign = fputil::Sign;

// log2(10)
constexpr double LOG2_10 = 0x1.a934f0979a371p+1;
Expand Down Expand Up @@ -101,14 +102,14 @@ Float128 poly_approx_f128(const Float128 &dx) {
using MType = typename Float128::MantissaType;

constexpr Float128 COEFFS_128[]{
{false, -127, MType({0, 0x8000000000000000})}, // 1.0
{false, -126, MType({0xea56d62b82d30a2d, 0x935d8dddaaa8ac16})},
{false, -126, MType({0x80a99ce75f4d5bdb, 0xa9a92639e753443a})},
{false, -126, MType({0x6a4f9d7dbf6c9635, 0x82382c8ef1652304})},
{false, -124, MType({0x345787019216c7af, 0x12bd7609fd98c44c})},
{false, -127, MType({0xcc41ed7e0d27aee5, 0x450a7ff47535d889})},
{false, -130, MType({0x8326bb91a6e7601d, 0xd3f6b844702d636b})},
{false, -130, MType({0xfa7b46df314112a9, 0x45b937f0d05bb1cd})},
{Sign::POS, -127, MType({0, 0x8000000000000000})}, // 1.0
{Sign::POS, -126, MType({0xea56d62b82d30a2d, 0x935d8dddaaa8ac16})},
{Sign::POS, -126, MType({0x80a99ce75f4d5bdb, 0xa9a92639e753443a})},
{Sign::POS, -126, MType({0x6a4f9d7dbf6c9635, 0x82382c8ef1652304})},
{Sign::POS, -124, MType({0x345787019216c7af, 0x12bd7609fd98c44c})},
{Sign::POS, -127, MType({0xcc41ed7e0d27aee5, 0x450a7ff47535d889})},
{Sign::POS, -130, MType({0x8326bb91a6e7601d, 0xd3f6b844702d636b})},
{Sign::POS, -130, MType({0xfa7b46df314112a9, 0x45b937f0d05bb1cd})},
};

Float128 p = fputil::polyeval(dx, COEFFS_128[0], COEFFS_128[1], COEFFS_128[2],
Expand Down
17 changes: 9 additions & 8 deletions libc/src/math/generic/exp2.cpp
Original file line number Diff line number Diff line change
Expand Up @@ -30,6 +30,7 @@ namespace LIBC_NAMESPACE {
using fputil::DoubleDouble;
using fputil::TripleDouble;
using Float128 = typename fputil::DyadicFloat<128>;
using Sign = fputil::Sign;

// Error bounds:
// Errors when using double precision.
Expand Down Expand Up @@ -90,14 +91,14 @@ Float128 poly_approx_f128(const Float128 &dx) {
using MType = typename Float128::MantissaType;

constexpr Float128 COEFFS_128[]{
{false, -127, MType({0, 0x8000000000000000})}, // 1.0
{false, -128, MType({0xc9e3b39803f2f6af, 0xb17217f7d1cf79ab})},
{false, -128, MType({0xde2d60dd9c9a1d9f, 0x3d7f7bff058b1d50})},
{false, -132, MType({0x9d3b15d9e7fb6897, 0xe35846b82505fc59})},
{false, -134, MType({0x184462f6bcd2b9e7, 0x9d955b7dd273b94e})},
{false, -137, MType({0x39ea1bb964c51a89, 0xaec3ff3c53398883})},
{false, -138, MType({0x842c53418fa8ae61, 0x2861225f345c396a})},
{false, -144, MType({0x7abeb5abd5ad2079, 0xffe5fe2d109a319d})},
{Sign::POS, -127, MType({0, 0x8000000000000000})}, // 1.0
{Sign::POS, -128, MType({0xc9e3b39803f2f6af, 0xb17217f7d1cf79ab})},
{Sign::POS, -128, MType({0xde2d60dd9c9a1d9f, 0x3d7f7bff058b1d50})},
{Sign::POS, -132, MType({0x9d3b15d9e7fb6897, 0xe35846b82505fc59})},
{Sign::POS, -134, MType({0x184462f6bcd2b9e7, 0x9d955b7dd273b94e})},
{Sign::POS, -137, MType({0x39ea1bb964c51a89, 0xaec3ff3c53398883})},
{Sign::POS, -138, MType({0x842c53418fa8ae61, 0x2861225f345c396a})},
{Sign::POS, -144, MType({0x7abeb5abd5ad2079, 0xffe5fe2d109a319d})},
};

Float128 p = fputil::polyeval(dx, COEFFS_128[0], COEFFS_128[1], COEFFS_128[2],
Expand Down
21 changes: 13 additions & 8 deletions libc/src/math/generic/expm1.cpp
Original file line number Diff line number Diff line change
Expand Up @@ -38,6 +38,7 @@ namespace LIBC_NAMESPACE {
using fputil::DoubleDouble;
using fputil::TripleDouble;
using Float128 = typename fputil::DyadicFloat<128>;
using Sign = fputil::Sign;

// log2(e)
constexpr double LOG2_E = 0x1.71547652b82fep+0;
Expand Down Expand Up @@ -109,13 +110,17 @@ Float128 poly_approx_f128(const Float128 &dx) {
using MType = typename Float128::MantissaType;

constexpr Float128 COEFFS_128[]{
{false, -127, MType({0, 0x8000000000000000})}, // 1.0
{false, -128, MType({0, 0x8000000000000000})}, // 0.5
{false, -130, MType({0xaaaaaaaaaaaaaaab, 0xaaaaaaaaaaaaaaaa})}, // 1/6
{false, -132, MType({0xaaaaaaaaaaaaaaab, 0xaaaaaaaaaaaaaaaa})}, // 1/24
{false, -134, MType({0x8888888888888889, 0x8888888888888888})}, // 1/120
{false, -137, MType({0x60b60b60b60b60b6, 0xb60b60b60b60b60b})}, // 1/720
{false, -140, MType({0x00d00d00d00d00d0, 0xd00d00d00d00d00d})}, // 1/5040
{Sign::POS, -127, MType({0, 0x8000000000000000})}, // 1.0
{Sign::POS, -128, MType({0, 0x8000000000000000})}, // 0.5
{Sign::POS, -130, MType({0xaaaaaaaaaaaaaaab, 0xaaaaaaaaaaaaaaaa})}, // 1/6
{Sign::POS, -132,
MType({0xaaaaaaaaaaaaaaab, 0xaaaaaaaaaaaaaaaa})}, // 1/24
{Sign::POS, -134,
MType({0x8888888888888889, 0x8888888888888888})}, // 1/120
{Sign::POS, -137,
MType({0x60b60b60b60b60b6, 0xb60b60b60b60b60b})}, // 1/720
{Sign::POS, -140,
MType({0x00d00d00d00d00d0, 0xd00d00d00d00d00d})}, // 1/5040
};

Float128 p = fputil::polyeval(dx, COEFFS_128[0], COEFFS_128[1], COEFFS_128[2],
Expand Down Expand Up @@ -165,7 +170,7 @@ Float128 expm1_f128(double x, double kd, int idx1, int idx2) {
Float128 exp_mid = fputil::quick_mul(exp_mid1, exp_mid2);

int hi = static_cast<int>(kd) >> 12;
Float128 minus_one{true, -127 - hi, MType({0, 0x8000000000000000})};
Float128 minus_one{Sign::NEG, -127 - hi, MType({0, 0x8000000000000000})};

Float128 exp_mid_m1 = fputil::quick_add(exp_mid, minus_one);

Expand Down
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