/////////////////////////////////////////////////////////////// // 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 #include #include #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 } typedef __float128 float128_type; #elif defined(BOOST_MP_USE_QUAD) #include 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 : public mpl::int_ {}; template<> struct number_category : public mpl::int_ {}; typedef number float128; namespace backends{ struct float128_backend { typedef mpl::list signed_types; typedef mpl::list unsigned_types; typedef mpl::list float_types; typedef int exponent_type; private: float128_type m_value; public: BOOST_CONSTEXPR float128_backend() : m_value(0) {} BOOST_CONSTEXPR float128_backend(const float128_backend& o) : m_value(o.m_value) {} float128_backend& operator = (const float128_backend& o) { m_value = o.m_value; return *this; } template BOOST_CONSTEXPR float128_backend(const T& i, const typename enable_if_c::value>::type* = 0) : m_value(i) {} template typename enable_if_c::value || is_convertible::value, float128_backend&>::type operator = (const T& i) { m_value = i; 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) { 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 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() { 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 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 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 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 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 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 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 inline void eval_subtract(float128_backend& result, const float128_backend& a, const A& b) { result.value() = a.value() - b; } template 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 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 inline void eval_convert_to(R* result, const float128_backend& val) { *result = static_cast(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) { return isnanq(arg.value()) ? FP_NAN : isinfq(arg.value()) ? FP_INFINITE : arg.value() == 0 ? FP_ZERO : 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(arg), number(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(arg), number(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 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 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 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 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 void serialize(Archive& ar, boost::multiprecision::backends::float128_backend& val, unsigned int /*version*/) { typedef typename Archive::is_loading load_tag; typedef typename mpl::bool_::value || boost::is_same::value> binary_tag; float128_detail::do_serialize(ar, val, load_tag(), binary_tag()); } }} namespace std{ template class numeric_limits > { typedef boost::multiprecision::number 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 = 34; 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_absent; BOOST_STATIC_CONSTEXPR bool has_denorm_loss = false; 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 0; } 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; }; } // namespace std #endif