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- ///////////////////////////////////////////////////////////////
- // Copyright 2013 John Maddock. Distributed under the Boost
- // Software License, Version 1.0. (See accompanying file
- // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
- #ifndef BOOST_MP_FLOAT128_HPP
- #define BOOST_MP_FLOAT128_HPP
- #include <boost/config.hpp>
- #include <boost/scoped_array.hpp>
- #include <boost/multiprecision/number.hpp>
- #if defined(BOOST_INTEL) && !defined(BOOST_MP_USE_FLOAT128) && !defined(BOOST_MP_USE_QUAD)
- # if defined(BOOST_INTEL_CXX_VERSION) && (BOOST_INTEL_CXX_VERSION >= 1310) && defined(__GNUC__)
- # if (__GNUC__ > 4) || ((__GNUC__ == 4) && (__GNUC_MINOR__ >= 6))
- # define BOOST_MP_USE_FLOAT128
- # endif
- # endif
- # ifndef BOOST_MP_USE_FLOAT128
- # define BOOST_MP_USE_QUAD
- # endif
- #endif
- #if defined(__GNUC__) && !defined(BOOST_MP_USE_FLOAT128) && !defined(BOOST_MP_USE_QUAD)
- # define BOOST_MP_USE_FLOAT128
- #endif
- #if !defined(BOOST_MP_USE_FLOAT128) && !defined(BOOST_MP_USE_QUAD)
- # error "Sorry compiler is neither GCC, not Intel, don't know how to configure this header."
- #endif
- #if defined(BOOST_MP_USE_FLOAT128) && defined(BOOST_MP_USE_QUAD)
- # error "Oh dear, both BOOST_MP_USE_FLOAT128 and BOOST_MP_USE_QUAD are defined, which one should I be using?"
- #endif
- #if defined(BOOST_MP_USE_FLOAT128)
- extern "C" {
- #include <quadmath.h>
- }
- typedef __float128 float128_type;
- #elif defined(BOOST_MP_USE_QUAD)
- #include <boost/multiprecision/detail/float_string_cvt.hpp>
- typedef _Quad float128_type;
- extern "C" {
- _Quad __ldexpq(_Quad, int);
- _Quad __frexpq(_Quad, int*);
- _Quad __fabsq(_Quad);
- _Quad __floorq(_Quad);
- _Quad __ceilq(_Quad);
- _Quad __sqrtq(_Quad);
- _Quad __truncq(_Quad);
- _Quad __expq(_Quad);
- _Quad __powq(_Quad, _Quad);
- _Quad __logq(_Quad);
- _Quad __log10q(_Quad);
- _Quad __sinq(_Quad);
- _Quad __cosq(_Quad);
- _Quad __tanq(_Quad);
- _Quad __asinq(_Quad);
- _Quad __acosq(_Quad);
- _Quad __atanq(_Quad);
- _Quad __sinhq(_Quad);
- _Quad __coshq(_Quad);
- _Quad __tanhq(_Quad);
- _Quad __fmodq(_Quad, _Quad);
- _Quad __atan2q(_Quad, _Quad);
- #define ldexpq __ldexpq
- #define frexpq __frexpq
- #define fabsq __fabsq
- #define floorq __floorq
- #define ceilq __ceilq
- #define sqrtq __sqrtq
- #define truncq __truncq
- #define expq __expq
- #define powq __powq
- #define logq __logq
- #define log10q __log10q
- #define sinq __sinq
- #define cosq __cosq
- #define tanq __tanq
- #define asinq __asinq
- #define acosq __acosq
- #define atanq __atanq
- #define sinhq __sinhq
- #define coshq __coshq
- #define tanhq __tanhq
- #define fmodq __fmodq
- #define atan2q __atan2q
- }
- inline _Quad isnanq(_Quad v)
- {
- return v != v;
- }
- inline _Quad isinfq(_Quad v)
- {
- return __fabsq(v) > 1.18973149535723176508575932662800702e4932Q;
- }
- #endif
- namespace boost{
- namespace multiprecision{
- namespace backends{
- struct float128_backend;
- }
- using backends::float128_backend;
- template<>
- struct number_category<backends::float128_backend> : public mpl::int_<number_kind_floating_point> {};
- template<>
- struct number_category<float128_type> : public mpl::int_<number_kind_floating_point> {};
- typedef number<float128_backend, et_off> float128;
- namespace backends{
- struct float128_backend
- {
- typedef mpl::list<signed char, short, int, long, boost::long_long_type> signed_types;
- typedef mpl::list<unsigned char, unsigned short,
- unsigned int, unsigned long, boost::ulong_long_type> unsigned_types;
- typedef mpl::list<float, double, long double> float_types;
- typedef int exponent_type;
- private:
- float128_type m_value;
- public:
- BOOST_CONSTEXPR float128_backend() BOOST_NOEXCEPT : m_value(0) {}
- BOOST_CONSTEXPR float128_backend(const float128_backend& o) BOOST_NOEXCEPT : m_value(o.m_value) {}
- float128_backend& operator = (const float128_backend& o) BOOST_NOEXCEPT
- {
- m_value = o.m_value;
- return *this;
- }
- template <class T>
- BOOST_CONSTEXPR float128_backend(const T& i, const typename enable_if_c<is_convertible<T, float128_type>::value>::type* = 0) BOOST_NOEXCEPT_IF(noexcept(std::declval<float128_type&>() = std::declval<const T&>()))
- : m_value(i) {}
- template <class T>
- typename enable_if_c<is_arithmetic<T>::value || is_convertible<T, float128_type>::value, float128_backend&>::type operator = (const T& i) BOOST_NOEXCEPT_IF(noexcept(std::declval<float128_type&>() = std::declval<const T&>()))
- {
- m_value = i;
- return *this;
- }
- float128_backend(long double const& f)
- {
- if(boost::math::isinf(f))
- m_value = (f < 0) ? -1.0Q / 0.0Q : 1.0Q / 0.0Q;
- else
- m_value = f;
- }
- float128_backend& operator=(long double const& f)
- {
- if(boost::math::isinf(f))
- m_value = (f < 0) ? -1.0Q / 0.0Q : 1.0Q / 0.0Q;
- else
- m_value = f;
- return *this;
- }
- float128_backend& operator = (const char* s)
- {
- #ifndef BOOST_MP_USE_QUAD
- char* p_end;
- m_value = strtoflt128(s, &p_end);
- if(p_end - s != (std::ptrdiff_t)std::strlen(s))
- {
- BOOST_THROW_EXCEPTION(std::runtime_error("Unable to interpret input string as a floating point value"));
- }
- #else
- boost::multiprecision::detail::convert_from_string(*this, s);
- #endif
- return *this;
- }
- void swap(float128_backend& o) BOOST_NOEXCEPT
- {
- std::swap(m_value, o.value());
- }
- std::string str(std::streamsize digits, std::ios_base::fmtflags f)const
- {
- #ifndef BOOST_MP_USE_QUAD
- char buf[100];
- boost::scoped_array<char> buf2;
- std::string format = "%";
- if(f & std::ios_base::showpos)
- format += "+";
- if(f & std::ios_base::showpoint)
- format += "#";
- format += ".*";
- if(digits == 0)
- digits = 36;
- format += "Q";
- if(f & std::ios_base::scientific)
- format += "e";
- else if(f & std::ios_base::fixed)
- format += "f";
- else
- format += "g";
- int v = quadmath_snprintf (buf, 100, format.c_str(), digits, m_value);
- if((v < 0) || (v >= 99))
- {
- int v_max = v;
- buf2.reset(new char[v+3]);
- v = quadmath_snprintf (&buf2[0], v_max + 3, format.c_str(), digits, m_value);
- if(v >= v_max + 3)
- {
- BOOST_THROW_EXCEPTION(std::runtime_error("Formatting of float128_type failed."));
- }
- return &buf2[0];
- }
- return buf;
- #else
- return boost::multiprecision::detail::convert_to_string(*this, digits ? digits : 37, f);
- #endif
- }
- void negate() BOOST_NOEXCEPT
- {
- m_value = -m_value;
- }
- int compare(const float128_backend& o)const
- {
- return m_value == o.m_value ? 0 : m_value < o.m_value ? -1 : 1;
- }
- template <class T>
- int compare(const T& i)const
- {
- return m_value == i ? 0 : m_value < i ? -1 : 1;
- }
- float128_type& value()
- {
- return m_value;
- }
- const float128_type& value()const
- {
- return m_value;
- }
- };
- inline void eval_add(float128_backend& result, const float128_backend& a)
- {
- result.value() += a.value();
- }
- template <class A>
- inline void eval_add(float128_backend& result, const A& a)
- {
- result.value() += a;
- }
- inline void eval_subtract(float128_backend& result, const float128_backend& a)
- {
- result.value() -= a.value();
- }
- template <class A>
- inline void eval_subtract(float128_backend& result, const A& a)
- {
- result.value() -= a;
- }
- inline void eval_multiply(float128_backend& result, const float128_backend& a)
- {
- result.value() *= a.value();
- }
- template <class A>
- inline void eval_multiply(float128_backend& result, const A& a)
- {
- result.value() *= a;
- }
- inline void eval_divide(float128_backend& result, const float128_backend& a)
- {
- result.value() /= a.value();
- }
- template <class A>
- inline void eval_divide(float128_backend& result, const A& a)
- {
- result.value() /= a;
- }
- inline void eval_add(float128_backend& result, const float128_backend& a, const float128_backend& b)
- {
- result.value() = a.value() + b.value();
- }
- template <class A>
- inline void eval_add(float128_backend& result, const float128_backend& a, const A& b)
- {
- result.value() = a.value() + b;
- }
- inline void eval_subtract(float128_backend& result, const float128_backend& a, const float128_backend& b)
- {
- result.value() = a.value() - b.value();
- }
- template <class A>
- inline void eval_subtract(float128_backend& result, const float128_backend& a, const A& b)
- {
- result.value() = a.value() - b;
- }
- template <class A>
- inline void eval_subtract(float128_backend& result, const A& a, const float128_backend& b)
- {
- result.value() = a - b.value();
- }
- inline void eval_multiply(float128_backend& result, const float128_backend& a, const float128_backend& b)
- {
- result.value() = a.value() * b.value();
- }
- template <class A>
- inline void eval_multiply(float128_backend& result, const float128_backend& a, const A& b)
- {
- result.value() = a.value() * b;
- }
- inline void eval_divide(float128_backend& result, const float128_backend& a, const float128_backend& b)
- {
- result.value() = a.value() / b.value();
- }
- template <class R>
- inline void eval_convert_to(R* result, const float128_backend& val)
- {
- *result = static_cast<R>(val.value());
- }
- inline void eval_frexp(float128_backend& result, const float128_backend& arg, int* exp)
- {
- result.value() = frexpq(arg.value(), exp);
- }
- inline void eval_ldexp(float128_backend& result, const float128_backend& arg, int exp)
- {
- result.value() = ldexpq(arg.value(), exp);
- }
- inline void eval_floor(float128_backend& result, const float128_backend& arg)
- {
- result.value() = floorq(arg.value());
- }
- inline void eval_ceil(float128_backend& result, const float128_backend& arg)
- {
- result.value() = ceilq(arg.value());
- }
- inline void eval_sqrt(float128_backend& result, const float128_backend& arg)
- {
- result.value() = sqrtq(arg.value());
- }
- inline int eval_fpclassify(const float128_backend& arg)
- {
- if(isnanq(arg.value()))
- return FP_NAN;
- else if(isinfq(arg.value()))
- return FP_INFINITE;
- else if(arg.value() == 0)
- return FP_ZERO;
- float128_backend t(arg);
- if(t.value() < 0)
- t.negate();
- if(t.value() < 3.36210314311209350626267781732175260e-4932Q)
- return FP_SUBNORMAL;
- return FP_NORMAL;
- }
- inline void eval_increment(float128_backend& arg)
- {
- ++arg.value();
- }
- inline void eval_decrement(float128_backend& arg)
- {
- --arg.value();
- }
- /*********************************************************************
- *
- * abs/fabs:
- *
- *********************************************************************/
- inline void eval_abs(float128_backend& result, const float128_backend& arg)
- {
- result.value() = fabsq(arg.value());
- }
- inline void eval_fabs(float128_backend& result, const float128_backend& arg)
- {
- result.value() = fabsq(arg.value());
- }
- /*********************************************************************
- *
- * Floating point functions:
- *
- *********************************************************************/
- inline void eval_trunc(float128_backend& result, const float128_backend& arg)
- {
- if(isnanq(arg.value()) || isinfq(arg.value()))
- {
- result = boost::math::policies::raise_rounding_error(
- "boost::multiprecision::trunc<%1%>(%1%)", 0,
- number<float128_backend, et_off>(arg),
- number<float128_backend, et_off>(arg),
- boost::math::policies::policy<>()).backend();
- return;
- }
- result.value() = truncq(arg.value());
- }
- /*
- //
- // This doesn't actually work... rely on our own default version instead.
- //
- inline void eval_round(float128_backend& result, const float128_backend& arg)
- {
- if(isnanq(arg.value()) || isinf(arg.value()))
- {
- result = boost::math::policies::raise_rounding_error(
- "boost::multiprecision::trunc<%1%>(%1%)", 0,
- number<float128_backend, et_off>(arg),
- number<float128_backend, et_off>(arg),
- boost::math::policies::policy<>()).backend();
- return;
- }
- result.value() = roundq(arg.value());
- }
- */
- inline void eval_exp(float128_backend& result, const float128_backend& arg)
- {
- result.value() = expq(arg.value());
- }
- inline void eval_log(float128_backend& result, const float128_backend& arg)
- {
- result.value() = logq(arg.value());
- }
- inline void eval_log10(float128_backend& result, const float128_backend& arg)
- {
- result.value() = log10q(arg.value());
- }
- inline void eval_sin(float128_backend& result, const float128_backend& arg)
- {
- result.value() = sinq(arg.value());
- }
- inline void eval_cos(float128_backend& result, const float128_backend& arg)
- {
- result.value() = cosq(arg.value());
- }
- inline void eval_tan(float128_backend& result, const float128_backend& arg)
- {
- result.value() = tanq(arg.value());
- }
- inline void eval_asin(float128_backend& result, const float128_backend& arg)
- {
- result.value() = asinq(arg.value());
- }
- inline void eval_acos(float128_backend& result, const float128_backend& arg)
- {
- result.value() = acosq(arg.value());
- }
- inline void eval_atan(float128_backend& result, const float128_backend& arg)
- {
- result.value() = atanq(arg.value());
- }
- inline void eval_sinh(float128_backend& result, const float128_backend& arg)
- {
- result.value() = sinhq(arg.value());
- }
- inline void eval_cosh(float128_backend& result, const float128_backend& arg)
- {
- result.value() = coshq(arg.value());
- }
- inline void eval_tanh(float128_backend& result, const float128_backend& arg)
- {
- result.value() = tanhq(arg.value());
- }
- inline void eval_fmod(float128_backend& result, const float128_backend& a, const float128_backend& b)
- {
- result.value() = fmodq(a.value(), b.value());
- }
- inline void eval_pow(float128_backend& result, const float128_backend& a, const float128_backend& b)
- {
- result.value() = powq(a.value(), b.value());
- }
- inline void eval_atan2(float128_backend& result, const float128_backend& a, const float128_backend& b)
- {
- result.value() = atan2q(a.value(), b.value());
- }
- } // namespace backends
- }} // namespaces
- namespace boost{
- namespace archive{
- class binary_oarchive;
- class binary_iarchive;
- }
-
- namespace serialization{ namespace float128_detail{
- template <class Archive>
- void do_serialize(Archive& ar, boost::multiprecision::backends::float128_backend& val, const mpl::false_&, const mpl::false_&)
- {
- // saving
- // non-binary
- std::string s(val.str(0, std::ios_base::scientific));
- ar & s;
- }
- template <class Archive>
- void do_serialize(Archive& ar, boost::multiprecision::backends::float128_backend& val, const mpl::true_&, const mpl::false_&)
- {
- // loading
- // non-binary
- std::string s;
- ar & s;
- val = s.c_str();
- }
- template <class Archive>
- void do_serialize(Archive& ar, boost::multiprecision::backends::float128_backend& val, const mpl::false_&, const mpl::true_&)
- {
- // saving
- // binary
- ar.save_binary(&val, sizeof(val));
- }
- template <class Archive>
- void do_serialize(Archive& ar, boost::multiprecision::backends::float128_backend& val, const mpl::true_&, const mpl::true_&)
- {
- // loading
- // binary
- ar.load_binary(&val, sizeof(val));
- }
- } // detail
- template <class Archive>
- void serialize(Archive& ar, boost::multiprecision::backends::float128_backend& val, unsigned int /*version*/)
- {
- typedef typename Archive::is_loading load_tag;
- typedef typename mpl::bool_<boost::is_same<Archive, boost::archive::binary_oarchive>::value || boost::is_same<Archive, boost::archive::binary_iarchive>::value> binary_tag;
- float128_detail::do_serialize(ar, val, load_tag(), binary_tag());
- }
- }}
- namespace std{
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- class numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >
- {
- typedef boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> number_type;
- public:
- BOOST_STATIC_CONSTEXPR bool is_specialized = true;
- static number_type (min)() BOOST_NOEXCEPT { return 3.36210314311209350626267781732175260e-4932Q; }
- static number_type (max)() BOOST_NOEXCEPT { return 1.18973149535723176508575932662800702e4932Q; }
- static number_type lowest() BOOST_NOEXCEPT { return -(max)(); }
- BOOST_STATIC_CONSTEXPR int digits = 113;
- BOOST_STATIC_CONSTEXPR int digits10 = 33;
- BOOST_STATIC_CONSTEXPR int max_digits10 = 36;
- BOOST_STATIC_CONSTEXPR bool is_signed = true;
- BOOST_STATIC_CONSTEXPR bool is_integer = false;
- BOOST_STATIC_CONSTEXPR bool is_exact = false;
- BOOST_STATIC_CONSTEXPR int radix = 2;
- static number_type epsilon() { return 1.92592994438723585305597794258492732e-34Q; }
- static number_type round_error() { return 0.5; }
- BOOST_STATIC_CONSTEXPR int min_exponent = -16381;
- BOOST_STATIC_CONSTEXPR int min_exponent10 = min_exponent * 301L / 1000L;
- BOOST_STATIC_CONSTEXPR int max_exponent = 16384;
- BOOST_STATIC_CONSTEXPR int max_exponent10 = max_exponent * 301L / 1000L;
- BOOST_STATIC_CONSTEXPR bool has_infinity = true;
- BOOST_STATIC_CONSTEXPR bool has_quiet_NaN = true;
- BOOST_STATIC_CONSTEXPR bool has_signaling_NaN = false;
- BOOST_STATIC_CONSTEXPR float_denorm_style has_denorm = denorm_present;
- BOOST_STATIC_CONSTEXPR bool has_denorm_loss = true;
- static number_type infinity() { return 1.0q / 0.0q; }
- static number_type quiet_NaN() { return number_type("nan"); }
- static number_type signaling_NaN() { return 0; }
- static number_type denorm_min() { return 6.475175119438025110924438958227646552e-4966Q; }
- BOOST_STATIC_CONSTEXPR bool is_iec559 = true;
- BOOST_STATIC_CONSTEXPR bool is_bounded = false;
- BOOST_STATIC_CONSTEXPR bool is_modulo = false;
- BOOST_STATIC_CONSTEXPR bool traps = false;
- BOOST_STATIC_CONSTEXPR bool tinyness_before = false;
- BOOST_STATIC_CONSTEXPR float_round_style round_style = round_to_nearest;
- };
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::is_specialized;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::digits;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::digits10;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::max_digits10;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::is_signed;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::is_integer;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::is_exact;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::radix;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::min_exponent;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::max_exponent;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::min_exponent10;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::max_exponent10;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::has_infinity;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::has_quiet_NaN;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::has_signaling_NaN;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::has_denorm_loss;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::is_iec559;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::is_bounded;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::is_modulo;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::traps;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::tinyness_before;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST float_round_style numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::round_style;
- template <boost::multiprecision::expression_template_option ExpressionTemplates>
- BOOST_CONSTEXPR_OR_CONST float_denorm_style numeric_limits<boost::multiprecision::number<boost::multiprecision::backends::float128_backend, ExpressionTemplates> >::has_denorm;
- } // namespace std
- #endif
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