| /////////////////////////////////////////////////////////////////////////////// |
| // Copyright Christopher Kormanyos 2014. |
| // Copyright John Maddock 2014. |
| // Copyright Paul Bristow 2014. |
| // 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_0.txt) |
| // |
| |
| // Implement quadruple-precision <cmath> support. |
| |
| #ifndef BOOST_MATH_CSTDFLOAT_CMATH_2014_02_15_HPP_ |
| #define BOOST_MATH_CSTDFLOAT_CMATH_2014_02_15_HPP_ |
| |
| #include <boost/math/cstdfloat/cstdfloat_types.hpp> |
| #include <boost/math/cstdfloat/cstdfloat_limits.hpp> |
| |
| #if (defined(__GNUC__) && defined(BOOST_HAS_FLOAT128)) |
| // |
| // This is the only way we can avoid |
| // warning: non-standard suffix on floating constant [-Wpedantic] |
| // when building with -Wall -pedantic. Neither __extension__ |
| // nor #pragma diagnostic ignored work :( |
| // |
| #pragma GCC system_header |
| #endif |
| |
| #if defined(BOOST_CSTDFLOAT_HAS_INTERNAL_FLOAT128_T) && defined(BOOST_MATH_USE_FLOAT128) && !defined(BOOST_CSTDFLOAT_NO_LIBQUADMATH_SUPPORT) |
| |
| #include <cstdint> |
| #include <cmath> |
| #include <stdexcept> |
| #include <iostream> |
| #include <type_traits> |
| #include <memory> |
| #include <boost/math/tools/assert.hpp> |
| #include <boost/math/tools/nothrow.hpp> |
| #include <boost/math/tools/throw_exception.hpp> |
| |
| #if defined(_WIN32) && defined(__GNUC__) |
| // Several versions of Mingw and probably cygwin too have broken |
| // libquadmath implementations that segfault as soon as you call |
| // expq or any function that depends on it. |
| #define BOOST_CSTDFLOAT_BROKEN_FLOAT128_MATH_FUNCTIONS |
| #endif |
| |
| // Here is a helper function used for raising the value of a given |
| // floating-point type to the power of n, where n has integral type. |
| namespace boost { |
| namespace math { |
| namespace cstdfloat { |
| namespace detail { |
| |
| template<class float_type, class integer_type> |
| inline float_type pown(const float_type& x, const integer_type p) |
| { |
| const bool isneg = (x < 0); |
| const bool isnan = (x != x); |
| const bool isinf = ((!isneg) ? bool(+x > (std::numeric_limits<float_type>::max)()) |
| : bool(-x > (std::numeric_limits<float_type>::max)())); |
| |
| if (isnan) { return x; } |
| |
| if (isinf) { return std::numeric_limits<float_type>::quiet_NaN(); } |
| |
| const bool x_is_neg = (x < 0); |
| const float_type abs_x = (x_is_neg ? -x : x); |
| |
| if (p < static_cast<integer_type>(0)) |
| { |
| if (abs_x < (std::numeric_limits<float_type>::min)()) |
| { |
| return (x_is_neg ? -std::numeric_limits<float_type>::infinity() |
| : +std::numeric_limits<float_type>::infinity()); |
| } |
| else |
| { |
| return float_type(1) / pown(x, static_cast<integer_type>(-p)); |
| } |
| } |
| |
| if (p == static_cast<integer_type>(0)) |
| { |
| return float_type(1); |
| } |
| else |
| { |
| if (p == static_cast<integer_type>(1)) { return x; } |
| |
| if (abs_x > (std::numeric_limits<float_type>::max)()) |
| { |
| return (x_is_neg ? -std::numeric_limits<float_type>::infinity() |
| : +std::numeric_limits<float_type>::infinity()); |
| } |
| |
| if (p == static_cast<integer_type>(2)) { return (x * x); } |
| else if (p == static_cast<integer_type>(3)) { return ((x * x) * x); } |
| else if (p == static_cast<integer_type>(4)) { const float_type x2 = (x * x); return (x2 * x2); } |
| else |
| { |
| // The variable xn stores the binary powers of x. |
| float_type result(((p % integer_type(2)) != integer_type(0)) ? x : float_type(1)); |
| float_type xn(x); |
| |
| integer_type p2 = p; |
| |
| while (integer_type(p2 /= 2) != integer_type(0)) |
| { |
| // Square xn for each binary power. |
| xn *= xn; |
| |
| const bool has_binary_power = (integer_type(p2 % integer_type(2)) != integer_type(0)); |
| |
| if (has_binary_power) |
| { |
| // Multiply the result with each binary power contained in the exponent. |
| result *= xn; |
| } |
| } |
| |
| return result; |
| } |
| } |
| } |
| |
| } |
| } |
| } |
| } // boost::math::cstdfloat::detail |
| |
| // We will now define preprocessor symbols representing quadruple-precision <cmath> functions. |
| #if defined(__INTEL_COMPILER) |
| #define BOOST_CSTDFLOAT_FLOAT128_LDEXP __ldexpq |
| #define BOOST_CSTDFLOAT_FLOAT128_FREXP __frexpq |
| #define BOOST_CSTDFLOAT_FLOAT128_FABS __fabsq |
| #define BOOST_CSTDFLOAT_FLOAT128_FLOOR __floorq |
| #define BOOST_CSTDFLOAT_FLOAT128_CEIL __ceilq |
| #if !defined(BOOST_CSTDFLOAT_FLOAT128_SQRT) |
| #define BOOST_CSTDFLOAT_FLOAT128_SQRT __sqrtq |
| #endif |
| #define BOOST_CSTDFLOAT_FLOAT128_TRUNC __truncq |
| #define BOOST_CSTDFLOAT_FLOAT128_EXP __expq |
| #define BOOST_CSTDFLOAT_FLOAT128_EXPM1 __expm1q |
| #define BOOST_CSTDFLOAT_FLOAT128_POW __powq |
| #define BOOST_CSTDFLOAT_FLOAT128_LOG __logq |
| #define BOOST_CSTDFLOAT_FLOAT128_LOG10 __log10q |
| #define BOOST_CSTDFLOAT_FLOAT128_SIN __sinq |
| #define BOOST_CSTDFLOAT_FLOAT128_COS __cosq |
| #define BOOST_CSTDFLOAT_FLOAT128_TAN __tanq |
| #define BOOST_CSTDFLOAT_FLOAT128_ASIN __asinq |
| #define BOOST_CSTDFLOAT_FLOAT128_ACOS __acosq |
| #define BOOST_CSTDFLOAT_FLOAT128_ATAN __atanq |
| #define BOOST_CSTDFLOAT_FLOAT128_SINH __sinhq |
| #define BOOST_CSTDFLOAT_FLOAT128_COSH __coshq |
| #define BOOST_CSTDFLOAT_FLOAT128_TANH __tanhq |
| #define BOOST_CSTDFLOAT_FLOAT128_ASINH __asinhq |
| #define BOOST_CSTDFLOAT_FLOAT128_ACOSH __acoshq |
| #define BOOST_CSTDFLOAT_FLOAT128_ATANH __atanhq |
| #define BOOST_CSTDFLOAT_FLOAT128_FMOD __fmodq |
| #define BOOST_CSTDFLOAT_FLOAT128_ATAN2 __atan2q |
| #define BOOST_CSTDFLOAT_FLOAT128_LGAMMA __lgammaq |
| #define BOOST_CSTDFLOAT_FLOAT128_TGAMMA __tgammaq |
| // begin more functions |
| #define BOOST_CSTDFLOAT_FLOAT128_REMAINDER __remainderq |
| #define BOOST_CSTDFLOAT_FLOAT128_REMQUO __remquoq |
| #define BOOST_CSTDFLOAT_FLOAT128_FMA __fmaq |
| #define BOOST_CSTDFLOAT_FLOAT128_FMAX __fmaxq |
| #define BOOST_CSTDFLOAT_FLOAT128_FMIN __fminq |
| #define BOOST_CSTDFLOAT_FLOAT128_FDIM __fdimq |
| #define BOOST_CSTDFLOAT_FLOAT128_NAN __nanq |
| //#define BOOST_CSTDFLOAT_FLOAT128_EXP2 __exp2q |
| #define BOOST_CSTDFLOAT_FLOAT128_LOG2 __log2q |
| #define BOOST_CSTDFLOAT_FLOAT128_LOG1P __log1pq |
| #define BOOST_CSTDFLOAT_FLOAT128_CBRT __cbrtq |
| #define BOOST_CSTDFLOAT_FLOAT128_HYPOT __hypotq |
| #define BOOST_CSTDFLOAT_FLOAT128_ERF __erfq |
| #define BOOST_CSTDFLOAT_FLOAT128_ERFC __erfcq |
| #define BOOST_CSTDFLOAT_FLOAT128_LLROUND __llroundq |
| #define BOOST_CSTDFLOAT_FLOAT128_LROUND __lroundq |
| #define BOOST_CSTDFLOAT_FLOAT128_ROUND __roundq |
| #define BOOST_CSTDFLOAT_FLOAT128_NEARBYINT __nearbyintq |
| #define BOOST_CSTDFLOAT_FLOAT128_LLRINT __llrintq |
| #define BOOST_CSTDFLOAT_FLOAT128_LRINT __lrintq |
| #define BOOST_CSTDFLOAT_FLOAT128_RINT __rintq |
| #define BOOST_CSTDFLOAT_FLOAT128_MODF __modfq |
| #define BOOST_CSTDFLOAT_FLOAT128_SCALBLN __scalblnq |
| #define BOOST_CSTDFLOAT_FLOAT128_SCALBN __scalbnq |
| #define BOOST_CSTDFLOAT_FLOAT128_ILOGB __ilogbq |
| #define BOOST_CSTDFLOAT_FLOAT128_LOGB __logbq |
| #define BOOST_CSTDFLOAT_FLOAT128_NEXTAFTER __nextafterq |
| //#define BOOST_CSTDFLOAT_FLOAT128_NEXTTOWARD __nexttowardq |
| #define BOOST_CSTDFLOAT_FLOAT128_COPYSIGN __copysignq |
| #define BOOST_CSTDFLOAT_FLOAT128_SIGNBIT __signbitq |
| //#define BOOST_CSTDFLOAT_FLOAT128_FPCLASSIFY __fpclassifyq |
| //#define BOOST_CSTDFLOAT_FLOAT128_ISFINITE __isfiniteq |
| #define BOOST_CSTDFLOAT_FLOAT128_ISINF __isinfq |
| #define BOOST_CSTDFLOAT_FLOAT128_ISNAN __isnanq |
| //#define BOOST_CSTDFLOAT_FLOAT128_ISNORMAL __isnormalq |
| //#define BOOST_CSTDFLOAT_FLOAT128_ISGREATER __isgreaterq |
| //#define BOOST_CSTDFLOAT_FLOAT128_ISGREATEREQUAL __isgreaterequalq |
| //#define BOOST_CSTDFLOAT_FLOAT128_ISLESS __islessq |
| //#define BOOST_CSTDFLOAT_FLOAT128_ISLESSEQUAL __islessequalq |
| //#define BOOST_CSTDFLOAT_FLOAT128_ISLESSGREATER __islessgreaterq |
| //#define BOOST_CSTDFLOAT_FLOAT128_ISUNORDERED __isunorderedq |
| // end more functions |
| #elif defined(__GNUC__) |
| #define BOOST_CSTDFLOAT_FLOAT128_LDEXP ldexpq |
| #define BOOST_CSTDFLOAT_FLOAT128_FREXP frexpq |
| #define BOOST_CSTDFLOAT_FLOAT128_FABS fabsq |
| #define BOOST_CSTDFLOAT_FLOAT128_FLOOR floorq |
| #define BOOST_CSTDFLOAT_FLOAT128_CEIL ceilq |
| #if !defined(BOOST_CSTDFLOAT_FLOAT128_SQRT) |
| #define BOOST_CSTDFLOAT_FLOAT128_SQRT sqrtq |
| #endif |
| #define BOOST_CSTDFLOAT_FLOAT128_TRUNC truncq |
| #define BOOST_CSTDFLOAT_FLOAT128_POW powq |
| #define BOOST_CSTDFLOAT_FLOAT128_LOG logq |
| #define BOOST_CSTDFLOAT_FLOAT128_LOG10 log10q |
| #define BOOST_CSTDFLOAT_FLOAT128_SIN sinq |
| #define BOOST_CSTDFLOAT_FLOAT128_COS cosq |
| #define BOOST_CSTDFLOAT_FLOAT128_TAN tanq |
| #define BOOST_CSTDFLOAT_FLOAT128_ASIN asinq |
| #define BOOST_CSTDFLOAT_FLOAT128_ACOS acosq |
| #define BOOST_CSTDFLOAT_FLOAT128_ATAN atanq |
| #define BOOST_CSTDFLOAT_FLOAT128_FMOD fmodq |
| #define BOOST_CSTDFLOAT_FLOAT128_ATAN2 atan2q |
| #define BOOST_CSTDFLOAT_FLOAT128_LGAMMA lgammaq |
| #if !defined(BOOST_CSTDFLOAT_BROKEN_FLOAT128_MATH_FUNCTIONS) |
| #define BOOST_CSTDFLOAT_FLOAT128_EXP expq |
| #define BOOST_CSTDFLOAT_FLOAT128_EXPM1 expm1q |
| #define BOOST_CSTDFLOAT_FLOAT128_SINH sinhq |
| #define BOOST_CSTDFLOAT_FLOAT128_COSH coshq |
| #define BOOST_CSTDFLOAT_FLOAT128_TANH tanhq |
| #define BOOST_CSTDFLOAT_FLOAT128_ASINH asinhq |
| #define BOOST_CSTDFLOAT_FLOAT128_ACOSH acoshq |
| #define BOOST_CSTDFLOAT_FLOAT128_ATANH atanhq |
| #define BOOST_CSTDFLOAT_FLOAT128_TGAMMA tgammaq |
| #else // BOOST_CSTDFLOAT_BROKEN_FLOAT128_MATH_FUNCTIONS |
| #define BOOST_CSTDFLOAT_FLOAT128_EXP expq_patch |
| #define BOOST_CSTDFLOAT_FLOAT128_SINH sinhq_patch |
| #define BOOST_CSTDFLOAT_FLOAT128_COSH coshq_patch |
| #define BOOST_CSTDFLOAT_FLOAT128_TANH tanhq_patch |
| #define BOOST_CSTDFLOAT_FLOAT128_ASINH asinhq_patch |
| #define BOOST_CSTDFLOAT_FLOAT128_ACOSH acoshq_patch |
| #define BOOST_CSTDFLOAT_FLOAT128_ATANH atanhq_patch |
| #define BOOST_CSTDFLOAT_FLOAT128_TGAMMA tgammaq_patch |
| #endif // BOOST_CSTDFLOAT_BROKEN_FLOAT128_MATH_FUNCTIONS |
| // begin more functions |
| #define BOOST_CSTDFLOAT_FLOAT128_REMAINDER remainderq |
| #define BOOST_CSTDFLOAT_FLOAT128_REMQUO remquoq |
| #define BOOST_CSTDFLOAT_FLOAT128_FMA fmaq |
| #define BOOST_CSTDFLOAT_FLOAT128_FMAX fmaxq |
| #define BOOST_CSTDFLOAT_FLOAT128_FMIN fminq |
| #define BOOST_CSTDFLOAT_FLOAT128_FDIM fdimq |
| #define BOOST_CSTDFLOAT_FLOAT128_NAN nanq |
| //#define BOOST_CSTDFLOAT_FLOAT128_EXP2 exp2q |
| #define BOOST_CSTDFLOAT_FLOAT128_LOG2 log2q |
| #define BOOST_CSTDFLOAT_FLOAT128_LOG1P log1pq |
| #define BOOST_CSTDFLOAT_FLOAT128_CBRT cbrtq |
| #define BOOST_CSTDFLOAT_FLOAT128_HYPOT hypotq |
| #define BOOST_CSTDFLOAT_FLOAT128_ERF erfq |
| #define BOOST_CSTDFLOAT_FLOAT128_ERFC erfcq |
| #define BOOST_CSTDFLOAT_FLOAT128_LLROUND llroundq |
| #define BOOST_CSTDFLOAT_FLOAT128_LROUND lroundq |
| #define BOOST_CSTDFLOAT_FLOAT128_ROUND roundq |
| #define BOOST_CSTDFLOAT_FLOAT128_NEARBYINT nearbyintq |
| #define BOOST_CSTDFLOAT_FLOAT128_LLRINT llrintq |
| #define BOOST_CSTDFLOAT_FLOAT128_LRINT lrintq |
| #define BOOST_CSTDFLOAT_FLOAT128_RINT rintq |
| #define BOOST_CSTDFLOAT_FLOAT128_MODF modfq |
| #define BOOST_CSTDFLOAT_FLOAT128_SCALBLN scalblnq |
| #define BOOST_CSTDFLOAT_FLOAT128_SCALBN scalbnq |
| #define BOOST_CSTDFLOAT_FLOAT128_ILOGB ilogbq |
| #define BOOST_CSTDFLOAT_FLOAT128_LOGB logbq |
| #define BOOST_CSTDFLOAT_FLOAT128_NEXTAFTER nextafterq |
| //#define BOOST_CSTDFLOAT_FLOAT128_NEXTTOWARD nexttowardq |
| #define BOOST_CSTDFLOAT_FLOAT128_COPYSIGN copysignq |
| #define BOOST_CSTDFLOAT_FLOAT128_SIGNBIT signbitq |
| //#define BOOST_CSTDFLOAT_FLOAT128_FPCLASSIFY fpclassifyq |
| //#define BOOST_CSTDFLOAT_FLOAT128_ISFINITE isfiniteq |
| #define BOOST_CSTDFLOAT_FLOAT128_ISINF isinfq |
| #define BOOST_CSTDFLOAT_FLOAT128_ISNAN isnanq |
| //#define BOOST_CSTDFLOAT_FLOAT128_ISNORMAL isnormalq |
| //#define BOOST_CSTDFLOAT_FLOAT128_ISGREATER isgreaterq |
| //#define BOOST_CSTDFLOAT_FLOAT128_ISGREATEREQUAL isgreaterequalq |
| //#define BOOST_CSTDFLOAT_FLOAT128_ISLESS islessq |
| //#define BOOST_CSTDFLOAT_FLOAT128_ISLESSEQUAL islessequalq |
| //#define BOOST_CSTDFLOAT_FLOAT128_ISLESSGREATER islessgreaterq |
| //#define BOOST_CSTDFLOAT_FLOAT128_ISUNORDERED isunorderedq |
| // end more functions |
| #endif |
| |
| // Implement quadruple-precision <cmath> functions in the namespace |
| // boost::math::cstdfloat::detail. Subsequently inject these into the |
| // std namespace via *using* directive. |
| |
| // Begin with some forward function declarations. Also implement patches |
| // for compilers that have broken float128 exponential functions. |
| |
| extern "C" int quadmath_snprintf(char*, std::size_t, const char*, ...) BOOST_MATH_NOTHROW; |
| |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_LDEXP(boost::math::cstdfloat::detail::float_internal128_t, int) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_FREXP(boost::math::cstdfloat::detail::float_internal128_t, int*) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_FABS(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_FLOOR(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_CEIL(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_SQRT(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_TRUNC(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_POW(boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_LOG(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_LOG10(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_SIN(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_COS(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_TAN(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_ASIN(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_ACOS(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_ATAN(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_FMOD(boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_ATAN2(boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_LGAMMA(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| |
| // begin more functions |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_REMAINDER(boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_REMQUO(boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t, int*) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_FMA(boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_FMAX(boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_FMIN(boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_FDIM(boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_NAN(const char*) BOOST_MATH_NOTHROW; |
| //extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_EXP2 (boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_LOG2(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_LOG1P(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_CBRT(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_HYPOT(boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_ERF(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_ERFC(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" long long int BOOST_CSTDFLOAT_FLOAT128_LLROUND(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" long int BOOST_CSTDFLOAT_FLOAT128_LROUND(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_ROUND(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_NEARBYINT(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" long long int BOOST_CSTDFLOAT_FLOAT128_LLRINT(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" long int BOOST_CSTDFLOAT_FLOAT128_LRINT(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_RINT(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_MODF(boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t*) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_SCALBLN(boost::math::cstdfloat::detail::float_internal128_t, long int) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_SCALBN(boost::math::cstdfloat::detail::float_internal128_t, int) BOOST_MATH_NOTHROW; |
| extern "C" int BOOST_CSTDFLOAT_FLOAT128_ILOGB(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_LOGB(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_NEXTAFTER(boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| //extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_NEXTTOWARD (boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_COPYSIGN(boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" int BOOST_CSTDFLOAT_FLOAT128_SIGNBIT(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| //extern "C" int BOOST_CSTDFLOAT_FLOAT128_FPCLASSIFY (boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| //extern "C" int BOOST_CSTDFLOAT_FLOAT128_ISFINITE (boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" int BOOST_CSTDFLOAT_FLOAT128_ISINF(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| extern "C" int BOOST_CSTDFLOAT_FLOAT128_ISNAN(boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| //extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_ISNORMAL (boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| //extern "C" int BOOST_CSTDFLOAT_FLOAT128_ISGREATER (boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| //extern "C" int BOOST_CSTDFLOAT_FLOAT128_ISGREATEREQUAL(boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| //extern "C" int BOOST_CSTDFLOAT_FLOAT128_ISLESS (boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| //extern "C" int BOOST_CSTDFLOAT_FLOAT128_ISLESSEQUAL (boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| //extern "C" int BOOST_CSTDFLOAT_FLOAT128_ISLESSGREATER(boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| //extern "C" int BOOST_CSTDFLOAT_FLOAT128_ISUNORDERED (boost::math::cstdfloat::detail::float_internal128_t, boost::math::cstdfloat::detail::float_internal128_t) BOOST_MATH_NOTHROW; |
| // end more functions |
| |
| #if !defined(BOOST_CSTDFLOAT_BROKEN_FLOAT128_MATH_FUNCTIONS) |
| |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_EXP(boost::math::cstdfloat::detail::float_internal128_t x) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_EXPM1(boost::math::cstdfloat::detail::float_internal128_t x) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_SINH(boost::math::cstdfloat::detail::float_internal128_t x) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_COSH(boost::math::cstdfloat::detail::float_internal128_t x) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_TANH(boost::math::cstdfloat::detail::float_internal128_t x) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_ASINH(boost::math::cstdfloat::detail::float_internal128_t x) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_ACOSH(boost::math::cstdfloat::detail::float_internal128_t x) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_ATANH(boost::math::cstdfloat::detail::float_internal128_t x) BOOST_MATH_NOTHROW; |
| extern "C" boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_TGAMMA(boost::math::cstdfloat::detail::float_internal128_t x) BOOST_MATH_NOTHROW; |
| |
| #else // BOOST_CSTDFLOAT_BROKEN_FLOAT128_MATH_FUNCTIONS |
| |
| // Forward declaration of the patched exponent function, exp(x). |
| inline boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_EXP(boost::math::cstdfloat::detail::float_internal128_t x); |
| |
| inline boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_EXPM1(boost::math::cstdfloat::detail::float_internal128_t x) |
| { |
| // Compute exp(x) - 1 for x small. |
| |
| // Use an order-12 Pade approximation of the exponential function. |
| // PadeApproximant[Exp[x] - 1, {x, 0, 12, 12}]. |
| |
| typedef boost::math::cstdfloat::detail::float_internal128_t float_type; |
| |
| float_type sum; |
| |
| if (x > BOOST_FLOAT128_C(0.693147180559945309417232121458176568075500134360255)) |
| { |
| sum = ::BOOST_CSTDFLOAT_FLOAT128_EXP(x) - float_type(1); |
| } |
| else |
| { |
| const float_type x2 = (x * x); |
| |
| const float_type top = ((((( float_type(BOOST_FLOAT128_C(2.4087176110456818621091195109360728010934088788572E-13)) * x2 |
| + float_type(BOOST_FLOAT128_C(9.2735628025258751691201101171038802842096241836000E-10))) * x2 |
| + float_type(BOOST_FLOAT128_C(9.0806726962333369656024118266681195742980640005812E-07))) * x2 |
| + float_type(BOOST_FLOAT128_C(3.1055900621118012422360248447204968944099378881988E-04))) * x2 |
| + float_type(BOOST_FLOAT128_C(3.6231884057971014492753623188405797101449275362319E-02))) * x2 |
| + float_type(BOOST_FLOAT128_C(1.00000000000000000000000000000000000000000000000000000))) |
| ; |
| |
| const float_type bot = (((((((((((( float_type(BOOST_FLOAT128_C(+7.7202487533515444298369215094104897470942592271063E-16)) * x |
| + float_type(BOOST_FLOAT128_C(-1.2043588055228409310545597554680364005467044394286E-13))) * x |
| + float_type(BOOST_FLOAT128_C(+9.2735628025258751691201101171038802842096241836000E-12))) * x |
| + float_type(BOOST_FLOAT128_C(-4.6367814012629375845600550585519401421048120918000E-10))) * x |
| + float_type(BOOST_FLOAT128_C(+1.6692413044546575304416198210786984511577323530480E-08))) * x |
| + float_type(BOOST_FLOAT128_C(-4.5403363481166684828012059133340597871490320002906E-07))) * x |
| + float_type(BOOST_FLOAT128_C(+9.5347063310450038138825324180015255530129672006102E-06))) * x |
| + float_type(BOOST_FLOAT128_C(-1.5527950310559006211180124223602484472049689440994E-04))) * x |
| + float_type(BOOST_FLOAT128_C(+1.9409937888198757763975155279503105590062111801242E-03))) * x |
| + float_type(BOOST_FLOAT128_C(-1.8115942028985507246376811594202898550724637681159E-02))) * x |
| + float_type(BOOST_FLOAT128_C(+1.1956521739130434782608695652173913043478260869565E-01))) * x |
| + float_type(BOOST_FLOAT128_C(-0.50000000000000000000000000000000000000000000000000000))) * x |
| + float_type(BOOST_FLOAT128_C(+1.00000000000000000000000000000000000000000000000000000))) |
| ; |
| |
| sum = (x * top) / bot; |
| } |
| |
| return sum; |
| } |
| inline boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_EXP(boost::math::cstdfloat::detail::float_internal128_t x) |
| { |
| // Patch the expq() function for a subset of broken GCC compilers |
| // like GCC 4.7, 4.8 on MinGW. |
| |
| typedef boost::math::cstdfloat::detail::float_internal128_t float_type; |
| |
| // Scale the argument x to the range (-ln2 < x < ln2). |
| constexpr float_type one_over_ln2 = float_type(BOOST_FLOAT128_C(1.44269504088896340735992468100189213742664595415299)); |
| const float_type x_over_ln2 = x * one_over_ln2; |
| |
| int n; |
| |
| if (x != x) |
| { |
| // The argument is NaN. |
| return std::numeric_limits<float_type>::quiet_NaN(); |
| } |
| else if (::BOOST_CSTDFLOAT_FLOAT128_FABS(x) > BOOST_FLOAT128_C(+0.693147180559945309417232121458176568075500134360255)) |
| { |
| // The absolute value of the argument exceeds ln2. |
| n = static_cast<int>(::BOOST_CSTDFLOAT_FLOAT128_FLOOR(x_over_ln2)); |
| } |
| else if (::BOOST_CSTDFLOAT_FLOAT128_FABS(x) < BOOST_FLOAT128_C(+0.693147180559945309417232121458176568075500134360255)) |
| { |
| // The absolute value of the argument is less than ln2. |
| n = 0; |
| } |
| else |
| { |
| // The absolute value of the argument is exactly equal to ln2 (in the sense of floating-point equality). |
| return float_type(2); |
| } |
| |
| // Check if the argument is very near an integer. |
| const float_type floor_of_x = ::BOOST_CSTDFLOAT_FLOAT128_FLOOR(x); |
| |
| if (::BOOST_CSTDFLOAT_FLOAT128_FABS(x - floor_of_x) < float_type(BOOST_CSTDFLOAT_FLOAT128_EPS)) |
| { |
| // Return e^n for arguments very near an integer. |
| return boost::math::cstdfloat::detail::pown(BOOST_FLOAT128_C(2.71828182845904523536028747135266249775724709369996), static_cast<std::int_fast32_t>(floor_of_x)); |
| } |
| |
| // Compute the scaled argument alpha. |
| const float_type alpha = x - (n * BOOST_FLOAT128_C(0.693147180559945309417232121458176568075500134360255)); |
| |
| // Compute the polynomial approximation of expm1(alpha) and add to it |
| // in order to obtain the scaled result. |
| const float_type scaled_result = ::BOOST_CSTDFLOAT_FLOAT128_EXPM1(alpha) + float_type(1); |
| |
| // Rescale the result and return it. |
| return scaled_result * boost::math::cstdfloat::detail::pown(float_type(2), n); |
| } |
| inline boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_SINH(boost::math::cstdfloat::detail::float_internal128_t x) |
| { |
| // Patch the sinhq() function for a subset of broken GCC compilers |
| // like GCC 4.7, 4.8 on MinGW. |
| typedef boost::math::cstdfloat::detail::float_internal128_t float_type; |
| |
| // Here, we use the following: |
| // Set: ex = exp(x) |
| // Set: em1 = expm1(x) |
| // Then |
| // sinh(x) = (ex - 1/ex) / 2 ; for |x| >= 1 |
| // sinh(x) = (2em1 + em1^2) / (2ex) ; for |x| < 1 |
| |
| const float_type ex = ::BOOST_CSTDFLOAT_FLOAT128_EXP(x); |
| |
| if (::BOOST_CSTDFLOAT_FLOAT128_FABS(x) < float_type(+1)) |
| { |
| const float_type em1 = ::BOOST_CSTDFLOAT_FLOAT128_EXPM1(x); |
| |
| return ((em1 * 2) + (em1 * em1)) / (ex * 2); |
| } |
| else |
| { |
| return (ex - (float_type(1) / ex)) / 2; |
| } |
| } |
| inline boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_COSH(boost::math::cstdfloat::detail::float_internal128_t x) |
| { |
| // Patch the coshq() function for a subset of broken GCC compilers |
| // like GCC 4.7, 4.8 on MinGW. |
| typedef boost::math::cstdfloat::detail::float_internal128_t float_type; |
| const float_type ex = ::BOOST_CSTDFLOAT_FLOAT128_EXP(x); |
| return (ex + (float_type(1) / ex)) / 2; |
| } |
| inline boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_TANH(boost::math::cstdfloat::detail::float_internal128_t x) |
| { |
| // Patch the tanhq() function for a subset of broken GCC compilers |
| // like GCC 4.7, 4.8 on MinGW. |
| typedef boost::math::cstdfloat::detail::float_internal128_t float_type; |
| const float_type ex_plus = ::BOOST_CSTDFLOAT_FLOAT128_EXP(x); |
| const float_type ex_minus = (float_type(1) / ex_plus); |
| return (ex_plus - ex_minus) / (ex_plus + ex_minus); |
| } |
| inline boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_ASINH(boost::math::cstdfloat::detail::float_internal128_t x) BOOST_MATH_NOTHROW |
| { |
| // Patch the asinh() function since quadmath does not have it. |
| typedef boost::math::cstdfloat::detail::float_internal128_t float_type; |
| return ::BOOST_CSTDFLOAT_FLOAT128_LOG(x + ::BOOST_CSTDFLOAT_FLOAT128_SQRT((x * x) + float_type(1))); |
| } |
| inline boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_ACOSH(boost::math::cstdfloat::detail::float_internal128_t x) BOOST_MATH_NOTHROW |
| { |
| // Patch the acosh() function since quadmath does not have it. |
| typedef boost::math::cstdfloat::detail::float_internal128_t float_type; |
| const float_type zp(x + float_type(1)); |
| const float_type zm(x - float_type(1)); |
| |
| return ::BOOST_CSTDFLOAT_FLOAT128_LOG(x + (zp * ::BOOST_CSTDFLOAT_FLOAT128_SQRT(zm / zp))); |
| } |
| inline boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_ATANH(boost::math::cstdfloat::detail::float_internal128_t x) BOOST_MATH_NOTHROW |
| { |
| // Patch the atanh() function since quadmath does not have it. |
| typedef boost::math::cstdfloat::detail::float_internal128_t float_type; |
| return (::BOOST_CSTDFLOAT_FLOAT128_LOG(float_type(1) + x) |
| - ::BOOST_CSTDFLOAT_FLOAT128_LOG(float_type(1) - x)) / 2; |
| } |
| inline boost::math::cstdfloat::detail::float_internal128_t BOOST_CSTDFLOAT_FLOAT128_TGAMMA(boost::math::cstdfloat::detail::float_internal128_t x) BOOST_MATH_NOTHROW |
| { |
| // Patch the tgammaq() function for a subset of broken GCC compilers |
| // like GCC 4.7, 4.8 on MinGW. |
| typedef boost::math::cstdfloat::detail::float_internal128_t float_type; |
| |
| if (x > float_type(0)) |
| { |
| return ::BOOST_CSTDFLOAT_FLOAT128_EXP(::BOOST_CSTDFLOAT_FLOAT128_LGAMMA(x)); |
| } |
| else if (x < float_type(0)) |
| { |
| // For x < 0, compute tgamma(-x) and use the reflection formula. |
| const float_type positive_x = -x; |
| float_type gamma_value = ::BOOST_CSTDFLOAT_FLOAT128_TGAMMA(positive_x); |
| const float_type floor_of_positive_x = ::BOOST_CSTDFLOAT_FLOAT128_FLOOR(positive_x); |
| |
| // Take the reflection checks (slightly adapted) from <boost/math/gamma.hpp>. |
| const bool floor_of_z_is_equal_to_z = (positive_x == ::BOOST_CSTDFLOAT_FLOAT128_FLOOR(positive_x)); |
| |
| constexpr float_type my_pi = BOOST_FLOAT128_C(3.14159265358979323846264338327950288419716939937511); |
| |
| if (floor_of_z_is_equal_to_z) |
| { |
| const bool is_odd = ((std::int32_t(floor_of_positive_x) % std::int32_t(2)) != std::int32_t(0)); |
| |
| return (is_odd ? -std::numeric_limits<float_type>::infinity() |
| : +std::numeric_limits<float_type>::infinity()); |
| } |
| |
| const float_type sinpx_value = x * ::BOOST_CSTDFLOAT_FLOAT128_SIN(my_pi * x); |
| |
| gamma_value *= sinpx_value; |
| |
| const bool result_is_too_large_to_represent = ((::BOOST_CSTDFLOAT_FLOAT128_FABS(gamma_value) < float_type(1)) |
| && (((std::numeric_limits<float_type>::max)() * ::BOOST_CSTDFLOAT_FLOAT128_FABS(gamma_value)) < my_pi)); |
| |
| if (result_is_too_large_to_represent) |
| { |
| const bool is_odd = ((std::int32_t(floor_of_positive_x) % std::int32_t(2)) != std::int32_t(0)); |
| |
| return (is_odd ? -std::numeric_limits<float_type>::infinity() |
| : +std::numeric_limits<float_type>::infinity()); |
| } |
| |
| gamma_value = -my_pi / gamma_value; |
| |
| if ((gamma_value > float_type(0)) || (gamma_value < float_type(0))) |
| { |
| return gamma_value; |
| } |
| else |
| { |
| // The value of gamma is too small to represent. Return 0.0 here. |
| return float_type(0); |
| } |
| } |
| else |
| { |
| // Gamma of zero is complex infinity. Return NaN here. |
| return std::numeric_limits<float_type>::quiet_NaN(); |
| } |
| } |
| #endif // BOOST_CSTDFLOAT_BROKEN_FLOAT128_MATH_FUNCTIONS |
| |
| // Define the quadruple-precision <cmath> functions in the namespace boost::math::cstdfloat::detail. |
| |
| namespace boost { |
| namespace math { |
| namespace cstdfloat { |
| namespace detail { |
| inline boost::math::cstdfloat::detail::float_internal128_t ldexp(boost::math::cstdfloat::detail::float_internal128_t x, int n) { return ::BOOST_CSTDFLOAT_FLOAT128_LDEXP(x, n); } |
| inline boost::math::cstdfloat::detail::float_internal128_t frexp(boost::math::cstdfloat::detail::float_internal128_t x, int* pn) { return ::BOOST_CSTDFLOAT_FLOAT128_FREXP(x, pn); } |
| inline boost::math::cstdfloat::detail::float_internal128_t fabs(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_FABS(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t abs(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_FABS(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t floor(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_FLOOR(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t ceil(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_CEIL(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t sqrt(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_SQRT(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t trunc(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_TRUNC(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t exp(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_EXP(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t expm1(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_EXPM1(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t pow(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t a) { return ::BOOST_CSTDFLOAT_FLOAT128_POW(x, a); } |
| inline boost::math::cstdfloat::detail::float_internal128_t pow(boost::math::cstdfloat::detail::float_internal128_t x, int a) { return ::BOOST_CSTDFLOAT_FLOAT128_POW(x, boost::math::cstdfloat::detail::float_internal128_t(a)); } |
| inline boost::math::cstdfloat::detail::float_internal128_t log(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_LOG(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t log10(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_LOG10(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t sin(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_SIN(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t cos(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_COS(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t tan(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_TAN(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t asin(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_ASIN(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t acos(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_ACOS(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t atan(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_ATAN(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t sinh(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_SINH(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t cosh(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_COSH(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t tanh(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_TANH(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t asinh(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_ASINH(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t acosh(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_ACOSH(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t atanh(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_ATANH(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t fmod(boost::math::cstdfloat::detail::float_internal128_t a, boost::math::cstdfloat::detail::float_internal128_t b) { return ::BOOST_CSTDFLOAT_FLOAT128_FMOD(a, b); } |
| inline boost::math::cstdfloat::detail::float_internal128_t atan2(boost::math::cstdfloat::detail::float_internal128_t y, boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_ATAN2(y, x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t lgamma(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_LGAMMA(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t tgamma(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_TGAMMA(x); } |
| // begin more functions |
| inline boost::math::cstdfloat::detail::float_internal128_t remainder(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t y) { return ::BOOST_CSTDFLOAT_FLOAT128_REMAINDER(x, y); } |
| inline boost::math::cstdfloat::detail::float_internal128_t remquo(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t y, int* z) { return ::BOOST_CSTDFLOAT_FLOAT128_REMQUO(x, y, z); } |
| inline boost::math::cstdfloat::detail::float_internal128_t fma(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t y, boost::math::cstdfloat::detail::float_internal128_t z) { return BOOST_CSTDFLOAT_FLOAT128_FMA(x, y, z); } |
| |
| inline boost::math::cstdfloat::detail::float_internal128_t fmax(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t y) { return ::BOOST_CSTDFLOAT_FLOAT128_FMAX(x, y); } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| fmax(boost::math::cstdfloat::detail::float_internal128_t x, T y) { return ::BOOST_CSTDFLOAT_FLOAT128_FMAX(x, y); } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| fmax(T x, boost::math::cstdfloat::detail::float_internal128_t y) { return ::BOOST_CSTDFLOAT_FLOAT128_FMAX(x, y); } |
| inline boost::math::cstdfloat::detail::float_internal128_t fmin(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t y) { return ::BOOST_CSTDFLOAT_FLOAT128_FMIN(x, y); } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| fmin(boost::math::cstdfloat::detail::float_internal128_t x, T y) { return ::BOOST_CSTDFLOAT_FLOAT128_FMIN(x, y); } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| fmin(T x, boost::math::cstdfloat::detail::float_internal128_t y) { return ::BOOST_CSTDFLOAT_FLOAT128_FMIN(x, y); } |
| |
| inline boost::math::cstdfloat::detail::float_internal128_t fdim(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t y) { return ::BOOST_CSTDFLOAT_FLOAT128_FDIM(x, y); } |
| inline boost::math::cstdfloat::detail::float_internal128_t nanq(const char* x) { return ::BOOST_CSTDFLOAT_FLOAT128_NAN(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t exp2(boost::math::cstdfloat::detail::float_internal128_t x) |
| { |
| return ::BOOST_CSTDFLOAT_FLOAT128_POW(boost::math::cstdfloat::detail::float_internal128_t(2), x); |
| } |
| inline boost::math::cstdfloat::detail::float_internal128_t log2(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_LOG2(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t log1p(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_LOG1P(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t cbrt(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_CBRT(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t hypot(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t y, boost::math::cstdfloat::detail::float_internal128_t z) { return ::BOOST_CSTDFLOAT_FLOAT128_SQRT(x*x + y * y + z * z); } |
| inline boost::math::cstdfloat::detail::float_internal128_t hypot(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t y) { return ::BOOST_CSTDFLOAT_FLOAT128_HYPOT(x, y); } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| hypot(boost::math::cstdfloat::detail::float_internal128_t x, T y) { return ::BOOST_CSTDFLOAT_FLOAT128_HYPOT(x, y); } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| hypot(T x, boost::math::cstdfloat::detail::float_internal128_t y) { return ::BOOST_CSTDFLOAT_FLOAT128_HYPOT(x, y); } |
| |
| |
| inline boost::math::cstdfloat::detail::float_internal128_t erf(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_ERF(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t erfc(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_ERFC(x); } |
| inline long long int llround(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_LLROUND(x); } |
| inline long int lround(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_LROUND(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t round(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_ROUND(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t nearbyint(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_NEARBYINT(x); } |
| inline long long int llrint(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_LLRINT(x); } |
| inline long int lrint(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_LRINT(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t rint(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_RINT(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t modf(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t* y) { return ::BOOST_CSTDFLOAT_FLOAT128_MODF(x, y); } |
| inline boost::math::cstdfloat::detail::float_internal128_t scalbln(boost::math::cstdfloat::detail::float_internal128_t x, long int y) { return ::BOOST_CSTDFLOAT_FLOAT128_SCALBLN(x, y); } |
| inline boost::math::cstdfloat::detail::float_internal128_t scalbn(boost::math::cstdfloat::detail::float_internal128_t x, int y) { return ::BOOST_CSTDFLOAT_FLOAT128_SCALBN(x, y); } |
| inline int ilogb(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_ILOGB(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t logb(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_LOGB(x); } |
| inline boost::math::cstdfloat::detail::float_internal128_t nextafter(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t y) { return ::BOOST_CSTDFLOAT_FLOAT128_NEXTAFTER(x, y); } |
| inline boost::math::cstdfloat::detail::float_internal128_t nexttoward(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t y) { return -(::BOOST_CSTDFLOAT_FLOAT128_NEXTAFTER(-x, -y)); } |
| inline boost::math::cstdfloat::detail::float_internal128_t copysign BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t y) { return ::BOOST_CSTDFLOAT_FLOAT128_COPYSIGN(x, y); } |
| inline bool signbit BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_SIGNBIT(x); } |
| inline int fpclassify BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x) |
| { |
| if (::BOOST_CSTDFLOAT_FLOAT128_ISNAN(x)) |
| return FP_NAN; |
| else if (::BOOST_CSTDFLOAT_FLOAT128_ISINF(x)) |
| return FP_INFINITE; |
| else if (x == BOOST_FLOAT128_C(0.0)) |
| return FP_ZERO; |
| |
| if (::BOOST_CSTDFLOAT_FLOAT128_FABS(x) < BOOST_CSTDFLOAT_FLOAT128_MIN) |
| return FP_SUBNORMAL; |
| else |
| return FP_NORMAL; |
| } |
| inline bool isfinite BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x) |
| { |
| return !::BOOST_CSTDFLOAT_FLOAT128_ISNAN(x) && !::BOOST_CSTDFLOAT_FLOAT128_ISINF(x); |
| } |
| inline bool isinf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_ISINF(x); } |
| inline bool isnan BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x) { return ::BOOST_CSTDFLOAT_FLOAT128_ISNAN(x); } |
| inline bool isnormal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x) { return boost::math::cstdfloat::detail::fpclassify BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x) == FP_NORMAL; } |
| inline bool isgreater BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t y) |
| { |
| if (isnan BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x) || isnan BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(y)) |
| return false; |
| return x > y; |
| } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| isgreater BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x, T y) { return isgreater BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, (boost::math::cstdfloat::detail::float_internal128_t)y); } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| isgreater BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x, boost::math::cstdfloat::detail::float_internal128_t y) { return isgreater BOOST_MATH_PREVENT_MACRO_SUBSTITUTION((boost::math::cstdfloat::detail::float_internal128_t)x, y); } |
| |
| inline bool isgreaterequal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t y) |
| { |
| if (isnan BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x) || isnan BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(y)) |
| return false; |
| return x >= y; |
| } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| isgreaterequal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x, T y) { return isgreaterequal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, (boost::math::cstdfloat::detail::float_internal128_t)y); } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| isgreaterequal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x, boost::math::cstdfloat::detail::float_internal128_t y) { return isgreaterequal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION((boost::math::cstdfloat::detail::float_internal128_t)x, y); } |
| |
| inline bool isless BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t y) |
| { |
| if (isnan BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x) || isnan BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(y)) |
| return false; |
| return x < y; |
| } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| isless BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x, T y) { return isless BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, (boost::math::cstdfloat::detail::float_internal128_t)y); } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| isless BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x, boost::math::cstdfloat::detail::float_internal128_t y) { return isless BOOST_MATH_PREVENT_MACRO_SUBSTITUTION((boost::math::cstdfloat::detail::float_internal128_t)x, y); } |
| |
| |
| inline bool islessequal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t y) |
| { |
| if (isnan BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x) || isnan BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(y)) |
| return false; |
| return x <= y; |
| } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| islessequal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x, T y) { return islessequal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, (boost::math::cstdfloat::detail::float_internal128_t)y); } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| islessequal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x, boost::math::cstdfloat::detail::float_internal128_t y) { return islessequal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION((boost::math::cstdfloat::detail::float_internal128_t)x, y); } |
| |
| |
| inline bool islessgreater BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t y) |
| { |
| if (isnan BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x) || isnan BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(y)) |
| return false; |
| return (x < y) || (x > y); |
| } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| islessgreater BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x, T y) { return islessgreater BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, (boost::math::cstdfloat::detail::float_internal128_t)y); } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| islessgreater BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x, boost::math::cstdfloat::detail::float_internal128_t y) { return islessgreater BOOST_MATH_PREVENT_MACRO_SUBSTITUTION((boost::math::cstdfloat::detail::float_internal128_t)x, y); } |
| |
| |
| inline bool isunordered BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x, boost::math::cstdfloat::detail::float_internal128_t y) { return ::BOOST_CSTDFLOAT_FLOAT128_ISNAN(x) || ::BOOST_CSTDFLOAT_FLOAT128_ISNAN(y); } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| isunordered BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(boost::math::cstdfloat::detail::float_internal128_t x, T y) { return isunordered BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, (boost::math::cstdfloat::detail::float_internal128_t)y); } |
| template <class T> |
| inline typename std::enable_if< |
| std::is_convertible<T, boost::math::cstdfloat::detail::float_internal128_t>::value |
| && !std::is_same<T, boost::math::cstdfloat::detail::float_internal128_t>::value, boost::math::cstdfloat::detail::float_internal128_t>::type |
| isunordered BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x, boost::math::cstdfloat::detail::float_internal128_t y) { return isunordered BOOST_MATH_PREVENT_MACRO_SUBSTITUTION((boost::math::cstdfloat::detail::float_internal128_t)x, y); } |
| |
| |
| // end more functions |
| } |
| } |
| } |
| } // boost::math::cstdfloat::detail |
| |
| // We will now inject the quadruple-precision <cmath> functions |
| // into the std namespace. This is done via *using* directive. |
| namespace std |
| { |
| using boost::math::cstdfloat::detail::ldexp; |
| using boost::math::cstdfloat::detail::frexp; |
| using boost::math::cstdfloat::detail::fabs; |
| |
| #if !(defined(_GLIBCXX_USE_FLOAT128) && defined(__GNUC__) && (__GNUC__ >= 7)) |
| #if (defined(__clang__) && !(!defined(__STRICT_ANSI__) && defined(_GLIBCXX_USE_FLOAT128))) || (__GNUC__ <= 6 && !defined(__clang__)) |
| // workaround for clang using libstdc++ and old GCC |
| using boost::math::cstdfloat::detail::abs; |
| #endif |
| #endif |
| |
| using boost::math::cstdfloat::detail::floor; |
| using boost::math::cstdfloat::detail::ceil; |
| using boost::math::cstdfloat::detail::sqrt; |
| using boost::math::cstdfloat::detail::trunc; |
| using boost::math::cstdfloat::detail::exp; |
| using boost::math::cstdfloat::detail::expm1; |
| using boost::math::cstdfloat::detail::pow; |
| using boost::math::cstdfloat::detail::log; |
| using boost::math::cstdfloat::detail::log10; |
| using boost::math::cstdfloat::detail::sin; |
| using boost::math::cstdfloat::detail::cos; |
| using boost::math::cstdfloat::detail::tan; |
| using boost::math::cstdfloat::detail::asin; |
| using boost::math::cstdfloat::detail::acos; |
| using boost::math::cstdfloat::detail::atan; |
| using boost::math::cstdfloat::detail::sinh; |
| using boost::math::cstdfloat::detail::cosh; |
| using boost::math::cstdfloat::detail::tanh; |
| using boost::math::cstdfloat::detail::asinh; |
| using boost::math::cstdfloat::detail::acosh; |
| using boost::math::cstdfloat::detail::atanh; |
| using boost::math::cstdfloat::detail::fmod; |
| using boost::math::cstdfloat::detail::atan2; |
| using boost::math::cstdfloat::detail::lgamma; |
| using boost::math::cstdfloat::detail::tgamma; |
| |
| // begin more functions |
| using boost::math::cstdfloat::detail::remainder; |
| using boost::math::cstdfloat::detail::remquo; |
| using boost::math::cstdfloat::detail::fma; |
| using boost::math::cstdfloat::detail::fmax; |
| using boost::math::cstdfloat::detail::fmin; |
| using boost::math::cstdfloat::detail::fdim; |
| using boost::math::cstdfloat::detail::nanq; |
| using boost::math::cstdfloat::detail::exp2; |
| using boost::math::cstdfloat::detail::log2; |
| using boost::math::cstdfloat::detail::log1p; |
| using boost::math::cstdfloat::detail::cbrt; |
| using boost::math::cstdfloat::detail::hypot; |
| using boost::math::cstdfloat::detail::erf; |
| using boost::math::cstdfloat::detail::erfc; |
| using boost::math::cstdfloat::detail::llround; |
| using boost::math::cstdfloat::detail::lround; |
| using boost::math::cstdfloat::detail::round; |
| using boost::math::cstdfloat::detail::nearbyint; |
| using boost::math::cstdfloat::detail::llrint; |
| using boost::math::cstdfloat::detail::lrint; |
| using boost::math::cstdfloat::detail::rint; |
| using boost::math::cstdfloat::detail::modf; |
| using boost::math::cstdfloat::detail::scalbln; |
| using boost::math::cstdfloat::detail::scalbn; |
| using boost::math::cstdfloat::detail::ilogb; |
| using boost::math::cstdfloat::detail::logb; |
| using boost::math::cstdfloat::detail::nextafter; |
| using boost::math::cstdfloat::detail::nexttoward; |
| using boost::math::cstdfloat::detail::copysign; |
| using boost::math::cstdfloat::detail::signbit; |
| using boost::math::cstdfloat::detail::fpclassify; |
| using boost::math::cstdfloat::detail::isfinite; |
| using boost::math::cstdfloat::detail::isinf; |
| using boost::math::cstdfloat::detail::isnan; |
| using boost::math::cstdfloat::detail::isnormal; |
| using boost::math::cstdfloat::detail::isgreater; |
| using boost::math::cstdfloat::detail::isgreaterequal; |
| using boost::math::cstdfloat::detail::isless; |
| using boost::math::cstdfloat::detail::islessequal; |
| using boost::math::cstdfloat::detail::islessgreater; |
| using boost::math::cstdfloat::detail::isunordered; |
| // end more functions |
| |
| } // namespace std |
| |
| // We will now remove the preprocessor symbols representing quadruple-precision <cmath> |
| // functions from the preprocessor. |
| |
| #undef BOOST_CSTDFLOAT_FLOAT128_LDEXP |
| #undef BOOST_CSTDFLOAT_FLOAT128_FREXP |
| #undef BOOST_CSTDFLOAT_FLOAT128_FABS |
| #undef BOOST_CSTDFLOAT_FLOAT128_FLOOR |
| #undef BOOST_CSTDFLOAT_FLOAT128_CEIL |
| #undef BOOST_CSTDFLOAT_FLOAT128_SQRT |
| #undef BOOST_CSTDFLOAT_FLOAT128_TRUNC |
| #undef BOOST_CSTDFLOAT_FLOAT128_EXP |
| #undef BOOST_CSTDFLOAT_FLOAT128_EXPM1 |
| #undef BOOST_CSTDFLOAT_FLOAT128_POW |
| #undef BOOST_CSTDFLOAT_FLOAT128_LOG |
| #undef BOOST_CSTDFLOAT_FLOAT128_LOG10 |
| #undef BOOST_CSTDFLOAT_FLOAT128_SIN |
| #undef BOOST_CSTDFLOAT_FLOAT128_COS |
| #undef BOOST_CSTDFLOAT_FLOAT128_TAN |
| #undef BOOST_CSTDFLOAT_FLOAT128_ASIN |
| #undef BOOST_CSTDFLOAT_FLOAT128_ACOS |
| #undef BOOST_CSTDFLOAT_FLOAT128_ATAN |
| #undef BOOST_CSTDFLOAT_FLOAT128_SINH |
| #undef BOOST_CSTDFLOAT_FLOAT128_COSH |
| #undef BOOST_CSTDFLOAT_FLOAT128_TANH |
| #undef BOOST_CSTDFLOAT_FLOAT128_ASINH |
| #undef BOOST_CSTDFLOAT_FLOAT128_ACOSH |
| #undef BOOST_CSTDFLOAT_FLOAT128_ATANH |
| #undef BOOST_CSTDFLOAT_FLOAT128_FMOD |
| #undef BOOST_CSTDFLOAT_FLOAT128_ATAN2 |
| #undef BOOST_CSTDFLOAT_FLOAT128_LGAMMA |
| #undef BOOST_CSTDFLOAT_FLOAT128_TGAMMA |
| |
| // begin more functions |
| #undef BOOST_CSTDFLOAT_FLOAT128_REMAINDER |
| #undef BOOST_CSTDFLOAT_FLOAT128_REMQUO |
| #undef BOOST_CSTDFLOAT_FLOAT128_FMA |
| #undef BOOST_CSTDFLOAT_FLOAT128_FMAX |
| #undef BOOST_CSTDFLOAT_FLOAT128_FMIN |
| #undef BOOST_CSTDFLOAT_FLOAT128_FDIM |
| #undef BOOST_CSTDFLOAT_FLOAT128_NAN |
| #undef BOOST_CSTDFLOAT_FLOAT128_EXP2 |
| #undef BOOST_CSTDFLOAT_FLOAT128_LOG2 |
| #undef BOOST_CSTDFLOAT_FLOAT128_LOG1P |
| #undef BOOST_CSTDFLOAT_FLOAT128_CBRT |
| #undef BOOST_CSTDFLOAT_FLOAT128_HYPOT |
| #undef BOOST_CSTDFLOAT_FLOAT128_ERF |
| #undef BOOST_CSTDFLOAT_FLOAT128_ERFC |
| #undef BOOST_CSTDFLOAT_FLOAT128_LLROUND |
| #undef BOOST_CSTDFLOAT_FLOAT128_LROUND |
| #undef BOOST_CSTDFLOAT_FLOAT128_ROUND |
| #undef BOOST_CSTDFLOAT_FLOAT128_NEARBYINT |
| #undef BOOST_CSTDFLOAT_FLOAT128_LLRINT |
| #undef BOOST_CSTDFLOAT_FLOAT128_LRINT |
| #undef BOOST_CSTDFLOAT_FLOAT128_RINT |
| #undef BOOST_CSTDFLOAT_FLOAT128_MODF |
| #undef BOOST_CSTDFLOAT_FLOAT128_SCALBLN |
| #undef BOOST_CSTDFLOAT_FLOAT128_SCALBN |
| #undef BOOST_CSTDFLOAT_FLOAT128_ILOGB |
| #undef BOOST_CSTDFLOAT_FLOAT128_LOGB |
| #undef BOOST_CSTDFLOAT_FLOAT128_NEXTAFTER |
| #undef BOOST_CSTDFLOAT_FLOAT128_NEXTTOWARD |
| #undef BOOST_CSTDFLOAT_FLOAT128_COPYSIGN |
| #undef BOOST_CSTDFLOAT_FLOAT128_SIGNBIT |
| #undef BOOST_CSTDFLOAT_FLOAT128_FPCLASSIFY |
| #undef BOOST_CSTDFLOAT_FLOAT128_ISFINITE |
| #undef BOOST_CSTDFLOAT_FLOAT128_ISINF |
| #undef BOOST_CSTDFLOAT_FLOAT128_ISNAN |
| #undef BOOST_CSTDFLOAT_FLOAT128_ISNORMAL |
| #undef BOOST_CSTDFLOAT_FLOAT128_ISGREATER |
| #undef BOOST_CSTDFLOAT_FLOAT128_ISGREATEREQUAL |
| #undef BOOST_CSTDFLOAT_FLOAT128_ISLESS |
| #undef BOOST_CSTDFLOAT_FLOAT128_ISLESSEQUAL |
| #undef BOOST_CSTDFLOAT_FLOAT128_ISLESSGREATER |
| #undef BOOST_CSTDFLOAT_FLOAT128_ISUNORDERED |
| // end more functions |
| |
| #endif // Not BOOST_CSTDFLOAT_NO_LIBQUADMATH_SUPPORT (i.e., the user would like to have libquadmath support) |
| |
| #endif // BOOST_MATH_CSTDFLOAT_CMATH_2014_02_15_HPP_ |
| |
