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//===-- Utils which wrap MPFR ---------------------------------------------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
#include "MPFRUtils.h"
#include "MPCommon.h"
#include "src/__support/CPP/array.h"
#include "src/__support/CPP/stringstream.h"
#include "src/__support/FPUtil/fpbits_str.h"
#include "src/__support/macros/config.h"
#include "src/__support/macros/properties/types.h"
namespace LIBC_NAMESPACE_DECL {
namespace testing {
namespace mpfr {
namespace internal {
template <typename InputType>
cpp::enable_if_t<cpp::is_floating_point_v<InputType>, MPFRNumber>
unary_operation(Operation op, InputType input, unsigned int precision,
RoundingMode rounding) {
MPFRNumber mpfrInput(input, precision, rounding);
switch (op) {
case Operation::Abs:
return mpfrInput.abs();
case Operation::Acos:
return mpfrInput.acos();
case Operation::Acosh:
return mpfrInput.acosh();
case Operation::Acospi:
return mpfrInput.acospi();
case Operation::Asin:
return mpfrInput.asin();
case Operation::Asinh:
return mpfrInput.asinh();
case Operation::Atan:
return mpfrInput.atan();
case Operation::Atanh:
return mpfrInput.atanh();
case Operation::Cbrt:
return mpfrInput.cbrt();
case Operation::Ceil:
return mpfrInput.ceil();
case Operation::Cos:
return mpfrInput.cos();
case Operation::Cosh:
return mpfrInput.cosh();
case Operation::Cospi:
return mpfrInput.cospi();
case Operation::Erf:
return mpfrInput.erf();
case Operation::Exp:
return mpfrInput.exp();
case Operation::Exp2:
return mpfrInput.exp2();
case Operation::Exp2m1:
return mpfrInput.exp2m1();
case Operation::Exp10:
return mpfrInput.exp10();
case Operation::Exp10m1:
return mpfrInput.exp10m1();
case Operation::Expm1:
return mpfrInput.expm1();
case Operation::Floor:
return mpfrInput.floor();
case Operation::Log:
return mpfrInput.log();
case Operation::Log2:
return mpfrInput.log2();
case Operation::Log10:
return mpfrInput.log10();
case Operation::Log1p:
return mpfrInput.log1p();
case Operation::Mod2PI:
return mpfrInput.mod_2pi();
case Operation::ModPIOver2:
return mpfrInput.mod_pi_over_2();
case Operation::ModPIOver4:
return mpfrInput.mod_pi_over_4();
case Operation::Round:
return mpfrInput.round();
case Operation::RoundEven:
return mpfrInput.roundeven();
case Operation::Sin:
return mpfrInput.sin();
case Operation::Sinpi:
return mpfrInput.sinpi();
case Operation::Sinh:
return mpfrInput.sinh();
case Operation::Sqrt:
return mpfrInput.sqrt();
case Operation::Tan:
return mpfrInput.tan();
case Operation::Tanh:
return mpfrInput.tanh();
case Operation::Tanpi:
return mpfrInput.tanpi();
case Operation::Trunc:
return mpfrInput.trunc();
default:
__builtin_unreachable();
}
}
template <typename InputType>
cpp::enable_if_t<cpp::is_floating_point_v<InputType>, MPFRNumber>
unary_operation_two_outputs(Operation op, InputType input, int &output,
unsigned int precision, RoundingMode rounding) {
MPFRNumber mpfrInput(input, precision, rounding);
switch (op) {
case Operation::Frexp:
return mpfrInput.frexp(output);
default:
__builtin_unreachable();
}
}
template <typename InputType>
cpp::enable_if_t<cpp::is_floating_point_v<InputType>, MPFRNumber>
binary_operation_one_output(Operation op, InputType x, InputType y,
unsigned int precision, RoundingMode rounding) {
MPFRNumber inputX(x, precision, rounding);
MPFRNumber inputY(y, precision, rounding);
switch (op) {
case Operation::Add:
return inputX.add(inputY);
case Operation::Atan2:
return inputX.atan2(inputY);
case Operation::Div:
return inputX.div(inputY);
case Operation::Fmod:
return inputX.fmod(inputY);
case Operation::Hypot:
return inputX.hypot(inputY);
case Operation::Mul:
return inputX.mul(inputY);
case Operation::Pow:
return inputX.pow(inputY);
case Operation::Sub:
return inputX.sub(inputY);
default:
__builtin_unreachable();
}
}
template <typename InputType>
cpp::enable_if_t<cpp::is_floating_point_v<InputType>, MPFRNumber>
binary_operation_two_outputs(Operation op, InputType x, InputType y,
int &output, unsigned int precision,
RoundingMode rounding) {
MPFRNumber inputX(x, precision, rounding);
MPFRNumber inputY(y, precision, rounding);
switch (op) {
case Operation::RemQuo:
return inputX.remquo(inputY, output);
default:
__builtin_unreachable();
}
}
template <typename InputType>
cpp::enable_if_t<cpp::is_floating_point_v<InputType>, MPFRNumber>
ternary_operation_one_output(Operation op, InputType x, InputType y,
InputType z, unsigned int precision,
RoundingMode rounding) {
// For FMA function, we just need to compare with the mpfr_fma with the same
// precision as InputType. Using higher precision as the intermediate results
// to compare might incorrectly fail due to double-rounding errors.
MPFRNumber inputX(x, precision, rounding);
MPFRNumber inputY(y, precision, rounding);
MPFRNumber inputZ(z, precision, rounding);
switch (op) {
case Operation::Fma:
return inputX.fma(inputY, inputZ);
default:
__builtin_unreachable();
}
}
// Remark: For all the explain_*_error functions, we will use std::stringstream
// to build the complete error messages before sending it to the outstream `OS`
// once at the end. This will stop the error messages from interleaving when
// the tests are running concurrently.
template <typename InputType, typename OutputType>
void explain_unary_operation_single_output_error(Operation op, InputType input,
OutputType matchValue,
double ulp_tolerance,
RoundingMode rounding) {
unsigned int precision = get_precision<InputType>(ulp_tolerance);
MPFRNumber mpfrInput(input, precision);
MPFRNumber mpfr_result;
mpfr_result = unary_operation(op, input, precision, rounding);
MPFRNumber mpfrMatchValue(matchValue);
cpp::array<char, 1024> msg_buf;
cpp::StringStream msg(msg_buf);
msg << "Match value not within tolerance value of MPFR result:\n"
<< " Input decimal: " << mpfrInput.str() << '\n';
msg << " Input bits: " << str(FPBits<InputType>(input)) << '\n';
msg << '\n' << " Match decimal: " << mpfrMatchValue.str() << '\n';
msg << " Match bits: " << str(FPBits<OutputType>(matchValue)) << '\n';
msg << '\n' << " MPFR result: " << mpfr_result.str() << '\n';
msg << " MPFR rounded: "
<< str(FPBits<OutputType>(mpfr_result.as<OutputType>())) << '\n';
msg << '\n';
msg << " ULP error: " << mpfr_result.ulp_as_mpfr_number(matchValue).str()
<< '\n';
if (msg.overflow())
__builtin_unreachable();
tlog << msg.str();
}
template void explain_unary_operation_single_output_error(Operation op, float,
float, double,
RoundingMode);
template void explain_unary_operation_single_output_error(Operation op, double,
double, double,
RoundingMode);
template void explain_unary_operation_single_output_error(Operation op,
long double,
long double, double,
RoundingMode);
template void explain_unary_operation_single_output_error(Operation op, double,
float, double,
RoundingMode);
template void explain_unary_operation_single_output_error(Operation op,
long double, float,
double, RoundingMode);
template void explain_unary_operation_single_output_error(Operation op,
long double, double,
double, RoundingMode);
#ifdef LIBC_TYPES_HAS_FLOAT16
template void explain_unary_operation_single_output_error(Operation op, float16,
float16, double,
RoundingMode);
template void explain_unary_operation_single_output_error(Operation op, float,
float16, double,
RoundingMode);
template void explain_unary_operation_single_output_error(Operation op, double,
float16, double,
RoundingMode);
template void explain_unary_operation_single_output_error(Operation op,
long double, float16,
double, RoundingMode);
#ifdef LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE
template void explain_unary_operation_single_output_error(Operation op,
float128, float16,
double, RoundingMode);
#endif // LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE
#endif // LIBC_TYPES_HAS_FLOAT16
#ifdef LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE
template void explain_unary_operation_single_output_error(Operation op,
float128, float128,
double, RoundingMode);
template void explain_unary_operation_single_output_error(Operation op,
float128, float,
double, RoundingMode);
template void explain_unary_operation_single_output_error(Operation op,
float128, double,
double, RoundingMode);
template void explain_unary_operation_single_output_error(Operation op,
float128, long double,
double, RoundingMode);
#endif // LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE
template <typename T>
void explain_unary_operation_two_outputs_error(
Operation op, T input, const BinaryOutput<T> &libc_result,
double ulp_tolerance, RoundingMode rounding) {
unsigned int precision = get_precision<T>(ulp_tolerance);
MPFRNumber mpfrInput(input, precision);
int mpfrIntResult;
MPFRNumber mpfr_result = unary_operation_two_outputs(op, input, mpfrIntResult,
precision, rounding);
if (mpfrIntResult != libc_result.i) {
tlog << "MPFR integral result: " << mpfrIntResult << '\n'
<< "Libc integral result: " << libc_result.i << '\n';
} else {
tlog << "Integral result from libc matches integral result from MPFR.\n";
}
MPFRNumber mpfrMatchValue(libc_result.f);
tlog
<< "Libc floating point result is not within tolerance value of the MPFR "
<< "result.\n\n";
tlog << " Input decimal: " << mpfrInput.str() << "\n\n";
tlog << "Libc floating point value: " << mpfrMatchValue.str() << '\n';
tlog << " Libc floating point bits: " << str(FPBits<T>(libc_result.f))
<< '\n';
tlog << "\n\n";
tlog << " MPFR result: " << mpfr_result.str() << '\n';
tlog << " MPFR rounded: " << str(FPBits<T>(mpfr_result.as<T>()))
<< '\n';
tlog << '\n'
<< " ULP error: "
<< mpfr_result.ulp_as_mpfr_number(libc_result.f).str() << '\n';
}
template void explain_unary_operation_two_outputs_error<float>(
Operation, float, const BinaryOutput<float> &, double, RoundingMode);
template void explain_unary_operation_two_outputs_error<double>(
Operation, double, const BinaryOutput<double> &, double, RoundingMode);
template void explain_unary_operation_two_outputs_error<long double>(
Operation, long double, const BinaryOutput<long double> &, double,
RoundingMode);
template <typename T>
void explain_binary_operation_two_outputs_error(
Operation op, const BinaryInput<T> &input,
const BinaryOutput<T> &libc_result, double ulp_tolerance,
RoundingMode rounding) {
unsigned int precision = get_precision<T>(ulp_tolerance);
MPFRNumber mpfrX(input.x, precision);
MPFRNumber mpfrY(input.y, precision);
int mpfrIntResult;
MPFRNumber mpfr_result = binary_operation_two_outputs(
op, input.x, input.y, mpfrIntResult, precision, rounding);
MPFRNumber mpfrMatchValue(libc_result.f);
tlog << "Input decimal: x: " << mpfrX.str() << " y: " << mpfrY.str() << '\n'
<< "MPFR integral result: " << mpfrIntResult << '\n'
<< "Libc integral result: " << libc_result.i << '\n'
<< "Libc floating point result: " << mpfrMatchValue.str() << '\n'
<< " MPFR result: " << mpfr_result.str() << '\n';
tlog << "Libc floating point result bits: " << str(FPBits<T>(libc_result.f))
<< '\n';
tlog << " MPFR rounded bits: "
<< str(FPBits<T>(mpfr_result.as<T>())) << '\n';
tlog << "ULP error: " << mpfr_result.ulp_as_mpfr_number(libc_result.f).str()
<< '\n';
}
template void explain_binary_operation_two_outputs_error<float>(
Operation, const BinaryInput<float> &, const BinaryOutput<float> &, double,
RoundingMode);
template void explain_binary_operation_two_outputs_error<double>(
Operation, const BinaryInput<double> &, const BinaryOutput<double> &,
double, RoundingMode);
template void explain_binary_operation_two_outputs_error<long double>(
Operation, const BinaryInput<long double> &,
const BinaryOutput<long double> &, double, RoundingMode);
template <typename InputType, typename OutputType>
void explain_binary_operation_one_output_error(
Operation op, const BinaryInput<InputType> &input, OutputType libc_result,
double ulp_tolerance, RoundingMode rounding) {
unsigned int precision = get_precision<InputType>(ulp_tolerance);
MPFRNumber mpfrX(input.x, precision);
MPFRNumber mpfrY(input.y, precision);
FPBits<InputType> xbits(input.x);
FPBits<InputType> ybits(input.y);
MPFRNumber mpfr_result =
binary_operation_one_output(op, input.x, input.y, precision, rounding);
MPFRNumber mpfrMatchValue(libc_result);
tlog << "Input decimal: x: " << mpfrX.str() << " y: " << mpfrY.str() << '\n';
tlog << "First input bits: " << str(FPBits<InputType>(input.x)) << '\n';
tlog << "Second input bits: " << str(FPBits<InputType>(input.y)) << '\n';
tlog << "Libc result: " << mpfrMatchValue.str() << '\n'
<< "MPFR result: " << mpfr_result.str() << '\n';
tlog << "Libc floating point result bits: "
<< str(FPBits<OutputType>(libc_result)) << '\n';
tlog << " MPFR rounded bits: "
<< str(FPBits<OutputType>(mpfr_result.as<OutputType>())) << '\n';
tlog << "ULP error: " << mpfr_result.ulp_as_mpfr_number(libc_result).str()
<< '\n';
}
template void
explain_binary_operation_one_output_error(Operation, const BinaryInput<float> &,
float, double, RoundingMode);
template void explain_binary_operation_one_output_error(
Operation, const BinaryInput<double> &, float, double, RoundingMode);
template void explain_binary_operation_one_output_error(
Operation, const BinaryInput<double> &, double, double, RoundingMode);
template void explain_binary_operation_one_output_error(
Operation, const BinaryInput<long double> &, float, double, RoundingMode);
template void explain_binary_operation_one_output_error(
Operation, const BinaryInput<long double> &, double, double, RoundingMode);
template void
explain_binary_operation_one_output_error(Operation,
const BinaryInput<long double> &,
long double, double, RoundingMode);
#ifdef LIBC_TYPES_HAS_FLOAT16
template void explain_binary_operation_one_output_error(
Operation, const BinaryInput<float16> &, float16, double, RoundingMode);
template void
explain_binary_operation_one_output_error(Operation, const BinaryInput<float> &,
float16, double, RoundingMode);
template void explain_binary_operation_one_output_error(
Operation, const BinaryInput<double> &, float16, double, RoundingMode);
template void explain_binary_operation_one_output_error(
Operation, const BinaryInput<long double> &, float16, double, RoundingMode);
#endif
#if defined(LIBC_TYPES_HAS_FLOAT128) && \
defined(LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE)
template void explain_binary_operation_one_output_error(
Operation, const BinaryInput<float128> &, float128, double, RoundingMode);
#endif
template <typename InputType, typename OutputType>
void explain_ternary_operation_one_output_error(
Operation op, const TernaryInput<InputType> &input, OutputType libc_result,
double ulp_tolerance, RoundingMode rounding) {
unsigned int precision = get_precision<InputType>(ulp_tolerance);
MPFRNumber mpfrX(input.x, precision);
MPFRNumber mpfrY(input.y, precision);
MPFRNumber mpfrZ(input.z, precision);
FPBits<InputType> xbits(input.x);
FPBits<InputType> ybits(input.y);
FPBits<InputType> zbits(input.z);
MPFRNumber mpfr_result = ternary_operation_one_output(
op, input.x, input.y, input.z, precision, rounding);
MPFRNumber mpfrMatchValue(libc_result);
tlog << "Input decimal: x: " << mpfrX.str() << " y: " << mpfrY.str()
<< " z: " << mpfrZ.str() << '\n';
tlog << " First input bits: " << str(FPBits<InputType>(input.x)) << '\n';
tlog << "Second input bits: " << str(FPBits<InputType>(input.y)) << '\n';
tlog << " Third input bits: " << str(FPBits<InputType>(input.z)) << '\n';
tlog << "Libc result: " << mpfrMatchValue.str() << '\n'
<< "MPFR result: " << mpfr_result.str() << '\n';
tlog << "Libc floating point result bits: "
<< str(FPBits<OutputType>(libc_result)) << '\n';
tlog << " MPFR rounded bits: "
<< str(FPBits<OutputType>(mpfr_result.as<OutputType>())) << '\n';
tlog << "ULP error: " << mpfr_result.ulp_as_mpfr_number(libc_result).str()
<< '\n';
}
template void explain_ternary_operation_one_output_error(
Operation, const TernaryInput<float> &, float, double, RoundingMode);
template void explain_ternary_operation_one_output_error(
Operation, const TernaryInput<double> &, float, double, RoundingMode);
template void explain_ternary_operation_one_output_error(
Operation, const TernaryInput<double> &, double, double, RoundingMode);
template void explain_ternary_operation_one_output_error(
Operation, const TernaryInput<long double> &, float, double, RoundingMode);
template void explain_ternary_operation_one_output_error(
Operation, const TernaryInput<long double> &, double, double, RoundingMode);
template void
explain_ternary_operation_one_output_error(Operation,
const TernaryInput<long double> &,
long double, double, RoundingMode);
#ifdef LIBC_TYPES_HAS_FLOAT16
template void explain_ternary_operation_one_output_error(
Operation, const TernaryInput<float16> &, float16, double, RoundingMode);
template void explain_ternary_operation_one_output_error(
Operation, const TernaryInput<float> &, float16, double, RoundingMode);
template void explain_ternary_operation_one_output_error(
Operation, const TernaryInput<double> &, float16, double, RoundingMode);
template void
explain_ternary_operation_one_output_error(Operation,
const TernaryInput<long double> &,
float16, double, RoundingMode);
#endif
template <typename InputType, typename OutputType>
bool compare_unary_operation_single_output(Operation op, InputType input,
OutputType libc_result,
double ulp_tolerance,
RoundingMode rounding) {
unsigned int precision = get_precision<InputType>(ulp_tolerance);
MPFRNumber mpfr_result;
mpfr_result = unary_operation(op, input, precision, rounding);
double ulp = mpfr_result.ulp(libc_result);
return (ulp <= ulp_tolerance);
}
template bool compare_unary_operation_single_output(Operation, float, float,
double, RoundingMode);
template bool compare_unary_operation_single_output(Operation, double, double,
double, RoundingMode);
template bool compare_unary_operation_single_output(Operation, long double,
long double, double,
RoundingMode);
template bool compare_unary_operation_single_output(Operation, double, float,
double, RoundingMode);
template bool compare_unary_operation_single_output(Operation, long double,
float, double,
RoundingMode);
template bool compare_unary_operation_single_output(Operation, long double,
double, double,
RoundingMode);
#ifdef LIBC_TYPES_HAS_FLOAT16
template bool compare_unary_operation_single_output(Operation, float16, float16,
double, RoundingMode);
template bool compare_unary_operation_single_output(Operation, float, float16,
double, RoundingMode);
template bool compare_unary_operation_single_output(Operation, double, float16,
double, RoundingMode);
template bool compare_unary_operation_single_output(Operation, long double,
float16, double,
RoundingMode);
#ifdef LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE
template bool compare_unary_operation_single_output(Operation, float128,
float16, double,
RoundingMode);
#endif // LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE
#endif // LIBC_TYPES_HAS_FLOAT16
#ifdef LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE
template bool compare_unary_operation_single_output(Operation, float128,
float128, double,
RoundingMode);
template bool compare_unary_operation_single_output(Operation, float128, float,
double, RoundingMode);
template bool compare_unary_operation_single_output(Operation, float128, double,
double, RoundingMode);
template bool compare_unary_operation_single_output(Operation, float128,
long double, double,
RoundingMode);
#endif // LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE
template <typename T>
bool compare_unary_operation_two_outputs(Operation op, T input,
const BinaryOutput<T> &libc_result,
double ulp_tolerance,
RoundingMode rounding) {
int mpfrIntResult;
unsigned int precision = get_precision<T>(ulp_tolerance);
MPFRNumber mpfr_result = unary_operation_two_outputs(op, input, mpfrIntResult,
precision, rounding);
double ulp = mpfr_result.ulp(libc_result.f);
if (mpfrIntResult != libc_result.i)
return false;
return (ulp <= ulp_tolerance);
}
template bool compare_unary_operation_two_outputs<float>(
Operation, float, const BinaryOutput<float> &, double, RoundingMode);
template bool compare_unary_operation_two_outputs<double>(
Operation, double, const BinaryOutput<double> &, double, RoundingMode);
template bool compare_unary_operation_two_outputs<long double>(
Operation, long double, const BinaryOutput<long double> &, double,
RoundingMode);
template <typename T>
bool compare_binary_operation_two_outputs(Operation op,
const BinaryInput<T> &input,
const BinaryOutput<T> &libc_result,
double ulp_tolerance,
RoundingMode rounding) {
int mpfrIntResult;
unsigned int precision = get_precision<T>(ulp_tolerance);
MPFRNumber mpfr_result = binary_operation_two_outputs(
op, input.x, input.y, mpfrIntResult, precision, rounding);
double ulp = mpfr_result.ulp(libc_result.f);
if (mpfrIntResult != libc_result.i) {
if (op == Operation::RemQuo) {
if ((0x7 & mpfrIntResult) != (0x7 & libc_result.i))
return false;
} else {
return false;
}
}
return (ulp <= ulp_tolerance);
}
template bool compare_binary_operation_two_outputs<float>(
Operation, const BinaryInput<float> &, const BinaryOutput<float> &, double,
RoundingMode);
template bool compare_binary_operation_two_outputs<double>(
Operation, const BinaryInput<double> &, const BinaryOutput<double> &,
double, RoundingMode);
template bool compare_binary_operation_two_outputs<long double>(
Operation, const BinaryInput<long double> &,
const BinaryOutput<long double> &, double, RoundingMode);
template <typename InputType, typename OutputType>
bool compare_binary_operation_one_output(Operation op,
const BinaryInput<InputType> &input,
OutputType libc_result,
double ulp_tolerance,
RoundingMode rounding) {
unsigned int precision = get_precision<InputType>(ulp_tolerance);
MPFRNumber mpfr_result =
binary_operation_one_output(op, input.x, input.y, precision, rounding);
double ulp = mpfr_result.ulp(libc_result);
return (ulp <= ulp_tolerance);
}
template bool compare_binary_operation_one_output(Operation,
const BinaryInput<float> &,
float, double, RoundingMode);
template bool compare_binary_operation_one_output(Operation,
const BinaryInput<double> &,
double, double, RoundingMode);
template bool
compare_binary_operation_one_output(Operation, const BinaryInput<long double> &,
float, double, RoundingMode);
template bool
compare_binary_operation_one_output(Operation, const BinaryInput<long double> &,
double, double, RoundingMode);
template bool
compare_binary_operation_one_output(Operation, const BinaryInput<long double> &,
long double, double, RoundingMode);
template bool compare_binary_operation_one_output(Operation,
const BinaryInput<double> &,
float, double, RoundingMode);
#ifdef LIBC_TYPES_HAS_FLOAT16
template bool compare_binary_operation_one_output(Operation,
const BinaryInput<float16> &,
float16, double,
RoundingMode);
template bool compare_binary_operation_one_output(Operation,
const BinaryInput<float> &,
float16, double,
RoundingMode);
template bool compare_binary_operation_one_output(Operation,
const BinaryInput<double> &,
float16, double,
RoundingMode);
template bool
compare_binary_operation_one_output(Operation, const BinaryInput<long double> &,
float16, double, RoundingMode);
#endif
#if defined(LIBC_TYPES_HAS_FLOAT128) && \
defined(LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE)
template bool compare_binary_operation_one_output(Operation,
const BinaryInput<float128> &,
float128, double,
RoundingMode);
#endif
template <typename InputType, typename OutputType>
bool compare_ternary_operation_one_output(Operation op,
const TernaryInput<InputType> &input,
OutputType libc_result,
double ulp_tolerance,
RoundingMode rounding) {
unsigned int precision = get_precision<InputType>(ulp_tolerance);
MPFRNumber mpfr_result = ternary_operation_one_output(
op, input.x, input.y, input.z, precision, rounding);
double ulp = mpfr_result.ulp(libc_result);
return (ulp <= ulp_tolerance);
}
template bool compare_ternary_operation_one_output(Operation,
const TernaryInput<float> &,
float, double, RoundingMode);
template bool compare_ternary_operation_one_output(Operation,
const TernaryInput<double> &,
float, double, RoundingMode);
template bool compare_ternary_operation_one_output(Operation,
const TernaryInput<double> &,
double, double,
RoundingMode);
template bool compare_ternary_operation_one_output(
Operation, const TernaryInput<long double> &, float, double, RoundingMode);
template bool compare_ternary_operation_one_output(
Operation, const TernaryInput<long double> &, double, double, RoundingMode);
template bool
compare_ternary_operation_one_output(Operation,
const TernaryInput<long double> &,
long double, double, RoundingMode);
#ifdef LIBC_TYPES_HAS_FLOAT16
template bool
compare_ternary_operation_one_output(Operation, const TernaryInput<float16> &,
float16, double, RoundingMode);
template bool compare_ternary_operation_one_output(Operation,
const TernaryInput<float> &,
float16, double,
RoundingMode);
template bool compare_ternary_operation_one_output(Operation,
const TernaryInput<double> &,
float16, double,
RoundingMode);
template bool
compare_ternary_operation_one_output(Operation,
const TernaryInput<long double> &, float16,
double, RoundingMode);
#endif
} // namespace internal
template <typename T> bool round_to_long(T x, long &result) {
MPFRNumber mpfr(x);
return mpfr.round_to_long(result);
}
template bool round_to_long<float>(float, long &);
template bool round_to_long<double>(double, long &);
template bool round_to_long<long double>(long double, long &);
#ifdef LIBC_TYPES_HAS_FLOAT16
template bool round_to_long<float16>(float16, long &);
#endif // LIBC_TYPES_HAS_FLOAT16
#ifdef LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE
template bool round_to_long<float128>(float128, long &);
#endif // LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE
template <typename T> bool round_to_long(T x, RoundingMode mode, long &result) {
MPFRNumber mpfr(x);
return mpfr.round_to_long(get_mpfr_rounding_mode(mode), result);
}
template bool round_to_long<float>(float, RoundingMode, long &);
template bool round_to_long<double>(double, RoundingMode, long &);
template bool round_to_long<long double>(long double, RoundingMode, long &);
#ifdef LIBC_TYPES_HAS_FLOAT16
template bool round_to_long<float16>(float16, RoundingMode, long &);
#endif // LIBC_TYPES_HAS_FLOAT16
#ifdef LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE
template bool round_to_long<float128>(float128, RoundingMode, long &);
#endif // LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE
template <typename T> T round(T x, RoundingMode mode) {
MPFRNumber mpfr(x);
MPFRNumber result = mpfr.rint(get_mpfr_rounding_mode(mode));
return result.as<T>();
}
template float round<float>(float, RoundingMode);
template double round<double>(double, RoundingMode);
template long double round<long double>(long double, RoundingMode);
#ifdef LIBC_TYPES_HAS_FLOAT16
template float16 round<float16>(float16, RoundingMode);
#endif // LIBC_TYPES_HAS_FLOAT16
#ifdef LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE
template float128 round<float128>(float128, RoundingMode);
#endif // LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE
} // namespace mpfr
} // namespace testing
} // namespace LIBC_NAMESPACE_DECL
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