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|
///////////////////////////////////////////////////////////////////////////////
// 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 the types for floating-point typedefs having specified widths.
#ifndef _BOOST_CSTDFLOAT_TYPES_2014_01_09_HPP_
#define _BOOST_CSTDFLOAT_TYPES_2014_01_09_HPP_
#include <float.h>
#include <limits>
#include <boost/static_assert.hpp>
#include <boost/math/tools/config.hpp>
// This is the beginning of the preamble.
// In this preamble, the preprocessor is used to query certain
// preprocessor definitions from <float.h>. Based on the results
// of these queries, an attempt is made to automatically detect
// the presence of built-in floating-point types having specified
// widths. These are *thought* to be conformant with IEEE-754,
// whereby an unequivocal test based on std::numeric_limits<>
// follows below.
// In addition, various macros that are used for initializing
// floating-point literal values having specified widths and
// some basic min/max values are defined.
// First, we will pre-load certain preprocessor definitions
// with a dummy value.
#define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 0
#define BOOST_CSTDFLOAT_HAS_FLOAT16_NATIVE_TYPE 0
#define BOOST_CSTDFLOAT_HAS_FLOAT32_NATIVE_TYPE 0
#define BOOST_CSTDFLOAT_HAS_FLOAT64_NATIVE_TYPE 0
#define BOOST_CSTDFLOAT_HAS_FLOAT80_NATIVE_TYPE 0
#define BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE 0
// Ensure that the compiler has a radix-2 floating-point representation.
#if (!defined(FLT_RADIX) || ((defined(FLT_RADIX) && (FLT_RADIX != 2))))
#error The compiler does not support any radix-2 floating-point types required for <boost/cstdfloat.hpp>.
#endif
// Check if built-in float is equivalent to float16_t, float32_t, float64_t, float80_t, or float128_t.
#if(defined(FLT_MANT_DIG) && defined(FLT_MAX_EXP))
#if ((FLT_MANT_DIG == 11) && (FLT_MAX_EXP == 16) && (BOOST_CSTDFLOAT_HAS_FLOAT16_NATIVE_TYPE == 0))
#define BOOST_CSTDFLOAT_FLOAT16_NATIVE_TYPE float
#undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH
#define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 16
#undef BOOST_CSTDFLOAT_HAS_FLOAT16_NATIVE_TYPE
#define BOOST_CSTDFLOAT_HAS_FLOAT16_NATIVE_TYPE 1
#define BOOST_FLOAT16_C(x) (x ## F)
#define BOOST_CSTDFLOAT_FLOAT_16_MIN FLT_MIN
#define BOOST_CSTDFLOAT_FLOAT_16_MAX FLT_MAX
#elif((FLT_MANT_DIG == 24) && (FLT_MAX_EXP == 128) && (BOOST_CSTDFLOAT_HAS_FLOAT32_NATIVE_TYPE == 0))
#define BOOST_CSTDFLOAT_FLOAT32_NATIVE_TYPE float
#undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH
#define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 32
#undef BOOST_CSTDFLOAT_HAS_FLOAT32_NATIVE_TYPE
#define BOOST_CSTDFLOAT_HAS_FLOAT32_NATIVE_TYPE 1
#define BOOST_FLOAT32_C(x) (x ## F)
#define BOOST_CSTDFLOAT_FLOAT_32_MIN FLT_MIN
#define BOOST_CSTDFLOAT_FLOAT_32_MAX FLT_MAX
#elif((FLT_MANT_DIG == 53) && (FLT_MAX_EXP == 1024) && (BOOST_CSTDFLOAT_HAS_FLOAT64_NATIVE_TYPE == 0))
#define BOOST_CSTDFLOAT_FLOAT64_NATIVE_TYPE float
#undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH
#define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 64
#undef BOOST_CSTDFLOAT_HAS_FLOAT64_NATIVE_TYPE
#define BOOST_CSTDFLOAT_HAS_FLOAT64_NATIVE_TYPE 1
#define BOOST_FLOAT64_C(x) (x ## F)
#define BOOST_CSTDFLOAT_FLOAT_64_MIN FLT_MIN
#define BOOST_CSTDFLOAT_FLOAT_64_MAX FLT_MAX
#elif((FLT_MANT_DIG == 64) && (FLT_MAX_EXP == 16384) && (BOOST_CSTDFLOAT_HAS_FLOAT80_NATIVE_TYPE == 0))
#define BOOST_CSTDFLOAT_FLOAT80_NATIVE_TYPE float
#undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH
#define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 80
#undef BOOST_CSTDFLOAT_HAS_FLOAT80_NATIVE_TYPE
#define BOOST_CSTDFLOAT_HAS_FLOAT80_NATIVE_TYPE 1
#define BOOST_FLOAT80_C(x) (x ## F)
#define BOOST_CSTDFLOAT_FLOAT_80_MIN FLT_MIN
#define BOOST_CSTDFLOAT_FLOAT_80_MAX FLT_MAX
#elif((FLT_MANT_DIG == 113) && (FLT_MAX_EXP == 16384) && (BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE == 0))
#define BOOST_CSTDFLOAT_FLOAT128_NATIVE_TYPE float
#undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH
#define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 128
#undef BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE
#define BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE 1
#define BOOST_FLOAT128_C(x) (x ## F)
#define BOOST_CSTDFLOAT_FLOAT_128_MIN FLT_MIN
#define BOOST_CSTDFLOAT_FLOAT_128_MAX FLT_MAX
#endif
#endif
// Check if built-in double is equivalent to float16_t, float32_t, float64_t, float80_t, or float128_t.
#if(defined(DBL_MANT_DIG) && defined(DBL_MAX_EXP))
#if ((DBL_MANT_DIG == 11) && (DBL_MAX_EXP == 16) && (BOOST_CSTDFLOAT_HAS_FLOAT16_NATIVE_TYPE == 0))
#define BOOST_CSTDFLOAT_FLOAT16_NATIVE_TYPE double
#undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH
#define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 16
#undef BOOST_CSTDFLOAT_HAS_FLOAT16_NATIVE_TYPE
#define BOOST_CSTDFLOAT_HAS_FLOAT16_NATIVE_TYPE 1
#define BOOST_FLOAT16_C(x) (x)
#define BOOST_CSTDFLOAT_FLOAT_16_MIN DBL_MIN
#define BOOST_CSTDFLOAT_FLOAT_16_MAX DBL_MAX
#elif((DBL_MANT_DIG == 24) && (DBL_MAX_EXP == 128) && (BOOST_CSTDFLOAT_HAS_FLOAT32_NATIVE_TYPE == 0))
#define BOOST_CSTDFLOAT_FLOAT32_NATIVE_TYPE double
#undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH
#define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 32
#undef BOOST_CSTDFLOAT_HAS_FLOAT32_NATIVE_TYPE
#define BOOST_CSTDFLOAT_HAS_FLOAT32_NATIVE_TYPE 1
#define BOOST_FLOAT32_C(x) (x)
#define BOOST_CSTDFLOAT_FLOAT_32_MIN DBL_MIN
#define BOOST_CSTDFLOAT_FLOAT_32_MAX DBL_MAX
#elif((DBL_MANT_DIG == 53) && (DBL_MAX_EXP == 1024) && (BOOST_CSTDFLOAT_HAS_FLOAT64_NATIVE_TYPE == 0))
#define BOOST_CSTDFLOAT_FLOAT64_NATIVE_TYPE double
#undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH
#define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 64
#undef BOOST_CSTDFLOAT_HAS_FLOAT64_NATIVE_TYPE
#define BOOST_CSTDFLOAT_HAS_FLOAT64_NATIVE_TYPE 1
#define BOOST_FLOAT64_C(x) (x)
#define BOOST_CSTDFLOAT_FLOAT_64_MIN DBL_MIN
#define BOOST_CSTDFLOAT_FLOAT_64_MAX DBL_MAX
#elif((DBL_MANT_DIG == 64) && (DBL_MAX_EXP == 16384) && (BOOST_CSTDFLOAT_HAS_FLOAT80_NATIVE_TYPE == 0))
#define BOOST_CSTDFLOAT_FLOAT80_NATIVE_TYPE double
#undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH
#define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 80
#undef BOOST_CSTDFLOAT_HAS_FLOAT80_NATIVE_TYPE
#define BOOST_CSTDFLOAT_HAS_FLOAT80_NATIVE_TYPE 1
#define BOOST_FLOAT80_C(x) (x)
#define BOOST_CSTDFLOAT_FLOAT_80_MIN DBL_MIN
#define BOOST_CSTDFLOAT_FLOAT_80_MAX DBL_MAX
#elif((DBL_MANT_DIG == 113) && (DBL_MAX_EXP == 16384) && (BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE == 0))
#define BOOST_CSTDFLOAT_FLOAT128_NATIVE_TYPE double
#undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH
#define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 128
#undef BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE
#define BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE 1
#define BOOST_FLOAT128_C(x) (x)
#define BOOST_CSTDFLOAT_FLOAT_128_MIN DBL_MIN
#define BOOST_CSTDFLOAT_FLOAT_128_MAX DBL_MAX
#endif
#endif
// Disable check long double capability even if supported by compiler since some math runtime
// implementations are broken for long double.
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
// Check if built-in long double is equivalent to float16_t, float32_t, float64_t, float80_t, or float128_t.
#if(defined(LDBL_MANT_DIG) && defined(LDBL_MAX_EXP))
#if ((LDBL_MANT_DIG == 11) && (LDBL_MAX_EXP == 16) && (BOOST_CSTDFLOAT_HAS_FLOAT16_NATIVE_TYPE == 0))
#define BOOST_CSTDFLOAT_FLOAT16_NATIVE_TYPE long double
#undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH
#define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 16
#undef BOOST_CSTDFLOAT_HAS_FLOAT16_NATIVE_TYPE
#define BOOST_CSTDFLOAT_HAS_FLOAT16_NATIVE_TYPE 1
#define BOOST_FLOAT16_C(x) (x ## L)
#define BOOST_CSTDFLOAT_FLOAT_16_MIN LDBL_MIN
#define BOOST_CSTDFLOAT_FLOAT_16_MAX LDBL_MAX
#elif((LDBL_MANT_DIG == 24) && (LDBL_MAX_EXP == 128) && (BOOST_CSTDFLOAT_HAS_FLOAT32_NATIVE_TYPE == 0))
#define BOOST_CSTDFLOAT_FLOAT32_NATIVE_TYPE long double
#undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH
#define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 32
#undef BOOST_CSTDFLOAT_HAS_FLOAT32_NATIVE_TYPE
#define BOOST_CSTDFLOAT_HAS_FLOAT32_NATIVE_TYPE 1
#define BOOST_FLOAT32_C(x) (x ## L)
#define BOOST_CSTDFLOAT_FLOAT_32_MIN LDBL_MIN
#define BOOST_CSTDFLOAT_FLOAT_32_MAX LDBL_MAX
#elif((LDBL_MANT_DIG == 53) && (LDBL_MAX_EXP == 1024) && (BOOST_CSTDFLOAT_HAS_FLOAT64_NATIVE_TYPE == 0))
#define BOOST_CSTDFLOAT_FLOAT64_NATIVE_TYPE long double
#undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH
#define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 64
#undef BOOST_CSTDFLOAT_HAS_FLOAT64_NATIVE_TYPE
#define BOOST_CSTDFLOAT_HAS_FLOAT64_NATIVE_TYPE 1
#define BOOST_FLOAT64_C(x) (x ## L)
#define BOOST_CSTDFLOAT_FLOAT_64_MIN LDBL_MIN
#define BOOST_CSTDFLOAT_FLOAT_64_MAX LDBL_MAX
#elif((LDBL_MANT_DIG == 64) && (LDBL_MAX_EXP == 16384) && (BOOST_CSTDFLOAT_HAS_FLOAT80_NATIVE_TYPE == 0))
#define BOOST_CSTDFLOAT_FLOAT80_NATIVE_TYPE long double
#undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH
#define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 80
#undef BOOST_CSTDFLOAT_HAS_FLOAT80_NATIVE_TYPE
#define BOOST_CSTDFLOAT_HAS_FLOAT80_NATIVE_TYPE 1
#define BOOST_FLOAT80_C(x) (x ## L)
#define BOOST_CSTDFLOAT_FLOAT_80_MIN LDBL_MIN
#define BOOST_CSTDFLOAT_FLOAT_80_MAX LDBL_MAX
#elif((LDBL_MANT_DIG == 113) && (LDBL_MAX_EXP == 16384) && (BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE == 0))
#define BOOST_CSTDFLOAT_FLOAT128_NATIVE_TYPE long double
#undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH
#define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 128
#undef BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE
#define BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE 1
#define BOOST_FLOAT128_C(x) (x ## L)
#define BOOST_CSTDFLOAT_FLOAT_128_MIN LDBL_MIN
#define BOOST_CSTDFLOAT_FLOAT_128_MAX LDBL_MAX
#endif
#endif
#endif
// Check if quadruple-precision is supported. Here, we are checking
// for the presence of __float128 from GCC's quadmath.h or _Quad
// from ICC's /Qlong-double flag). To query these, we use the
// BOOST_MATH_USE_FLOAT128 pre-processor definition from
// <boost/math/tools/config.hpp>.
#if (BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE == 0) && defined(BOOST_MATH_USE_FLOAT128) && !defined(BOOST_CSTDFLOAT_NO_LIBQUADMATH_SUPPORT)
// Specify the underlying name of the internal 128-bit floating-point type definition.
namespace boost { namespace math { namespace cstdfloat { namespace detail {
#if defined(BOOST_INTEL)
typedef _Quad float_internal128_t;
#elif defined(__GNUC__)
typedef __float128 float_internal128_t;
#else
#error "Sorry, the compiler is neither GCC, nor Intel, I don't know how to configure <boost/cstdfloat.hpp>."
#endif
} } } } // boost::math::cstdfloat::detail
#define BOOST_CSTDFLOAT_FLOAT128_NATIVE_TYPE boost::math::cstdfloat::detail::float_internal128_t
#undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH
#define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 128
#undef BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE
#define BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE 1
#define BOOST_FLOAT128_C(x) (x ## Q)
#define BOOST_CSTDFLOAT_FLOAT128_MIN 3.36210314311209350626267781732175260e-4932Q
#define BOOST_CSTDFLOAT_FLOAT128_MAX 1.18973149535723176508575932662800702e+4932Q
#define BOOST_CSTDFLOAT_FLOAT128_EPS 1.92592994438723585305597794258492732e-0034Q
#endif // Not BOOST_CSTDFLOAT_NO_LIBQUADMATH_SUPPORT (i.e., the user would like to have libquadmath support)
// This is the end of the preamble, and also the end of the
// sections providing support for the C++ standard library
// for quadruple-precision.
// Now we use the results of the queries that have been obtained
// in the preamble (far above) for the final type definitions in
// the namespace boost.
// Make sure that the compiler has any floating-point type(s) whatsoever.
#if ( (BOOST_CSTDFLOAT_HAS_FLOAT16_NATIVE_TYPE == 0) \
&& (BOOST_CSTDFLOAT_HAS_FLOAT32_NATIVE_TYPE == 0) \
&& (BOOST_CSTDFLOAT_HAS_FLOAT64_NATIVE_TYPE == 0) \
&& (BOOST_CSTDFLOAT_HAS_FLOAT80_NATIVE_TYPE == 0) \
&& (BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE == 0))
#error The compiler does not support any of the floating-point types required for <boost/cstdfloat.hpp>.
#endif
// The following section contains the various min/max macros
// for the *leastN and *fastN types.
#if(BOOST_CSTDFLOAT_HAS_FLOAT16_NATIVE_TYPE == 1)
#define BOOST_FLOAT_FAST16_MIN BOOST_CSTDFLOAT_FLOAT_16_MIN
#define BOOST_FLOAT_LEAST16_MIN BOOST_CSTDFLOAT_FLOAT_16_MIN
#define BOOST_FLOAT_FAST16_MAX BOOST_CSTDFLOAT_FLOAT_16_MAX
#define BOOST_FLOAT_LEAST16_MAX BOOST_CSTDFLOAT_FLOAT_16_MAX
#endif
#if(BOOST_CSTDFLOAT_HAS_FLOAT32_NATIVE_TYPE == 1)
#define BOOST_FLOAT_FAST32_MIN BOOST_CSTDFLOAT_FLOAT_32_MIN
#define BOOST_FLOAT_LEAST32_MIN BOOST_CSTDFLOAT_FLOAT_32_MIN
#define BOOST_FLOAT_FAST32_MAX BOOST_CSTDFLOAT_FLOAT_32_MAX
#define BOOST_FLOAT_LEAST32_MAX BOOST_CSTDFLOAT_FLOAT_32_MAX
#endif
#if(BOOST_CSTDFLOAT_HAS_FLOAT64_NATIVE_TYPE == 1)
#define BOOST_FLOAT_FAST64_MIN BOOST_CSTDFLOAT_FLOAT_64_MIN
#define BOOST_FLOAT_LEAST64_MIN BOOST_CSTDFLOAT_FLOAT_64_MIN
#define BOOST_FLOAT_FAST64_MAX BOOST_CSTDFLOAT_FLOAT_64_MAX
#define BOOST_FLOAT_LEAST64_MAX BOOST_CSTDFLOAT_FLOAT_64_MAX
#endif
#if(BOOST_CSTDFLOAT_HAS_FLOAT80_NATIVE_TYPE == 1)
#define BOOST_FLOAT_FAST80_MIN BOOST_CSTDFLOAT_FLOAT_80_MIN
#define BOOST_FLOAT_LEAST80_MIN BOOST_CSTDFLOAT_FLOAT_80_MIN
#define BOOST_FLOAT_FAST80_MAX BOOST_CSTDFLOAT_FLOAT_80_MAX
#define BOOST_FLOAT_LEAST80_MAX BOOST_CSTDFLOAT_FLOAT_80_MAX
#endif
#if(BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE == 1)
#define BOOST_CSTDFLOAT_HAS_INTERNAL_FLOAT128_T
#define BOOST_FLOAT_FAST128_MIN BOOST_CSTDFLOAT_FLOAT_128_MIN
#define BOOST_FLOAT_LEAST128_MIN BOOST_CSTDFLOAT_FLOAT_128_MIN
#define BOOST_FLOAT_FAST128_MAX BOOST_CSTDFLOAT_FLOAT_128_MAX
#define BOOST_FLOAT_LEAST128_MAX BOOST_CSTDFLOAT_FLOAT_128_MAX
#endif
// The following section contains the various min/max macros
// for the *floatmax types.
#if (BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH == 16)
#define BOOST_FLOATMAX_C(x) BOOST_FLOAT16_C(x)
#define BOOST_FLOATMAX_MIN BOOST_CSTDFLOAT_FLOAT_16_MIN
#define BOOST_FLOATMAX_MAX BOOST_CSTDFLOAT_FLOAT_16_MAX
#elif(BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH == 32)
#define BOOST_FLOATMAX_C(x) BOOST_FLOAT32_C(x)
#define BOOST_FLOATMAX_MIN BOOST_CSTDFLOAT_FLOAT_32_MIN
#define BOOST_FLOATMAX_MAX BOOST_CSTDFLOAT_FLOAT_32_MAX
#elif(BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH == 64)
#define BOOST_FLOATMAX_C(x) BOOST_FLOAT64_C(x)
#define BOOST_FLOATMAX_MIN BOOST_CSTDFLOAT_FLOAT_64_MIN
#define BOOST_FLOATMAX_MAX BOOST_CSTDFLOAT_FLOAT_64_MAX
#elif(BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH == 80)
#define BOOST_FLOATMAX_C(x) BOOST_FLOAT80_C(x)
#define BOOST_FLOATMAX_MIN BOOST_CSTDFLOAT_FLOAT_80_MIN
#define BOOST_FLOATMAX_MAX BOOST_CSTDFLOAT_FLOAT_80_MAX
#elif(BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH == 128)
#define BOOST_FLOATMAX_C(x) BOOST_FLOAT128_C(x)
#define BOOST_FLOATMAX_MIN BOOST_CSTDFLOAT_FLOAT_128_MIN
#define BOOST_FLOATMAX_MAX BOOST_CSTDFLOAT_FLOAT_128_MAX
#else
#error The maximum available floating-point width for <boost/cstdfloat.hpp> is undefined.
#endif
// And finally..., we define the floating-point typedefs having
// specified widths. The types are defined in the namespace boost.
// For simplicity, the least and fast types are type defined identically
// as the corresponding fixed-width type. This behavior may, however,
// be modified when being optimized for a given compiler implementation.
// In addition, a clear assessment of IEEE-754 comformance is carried out
// using compile-time assertion.
namespace boost
{
#if(BOOST_CSTDFLOAT_HAS_FLOAT16_NATIVE_TYPE == 1)
typedef BOOST_CSTDFLOAT_FLOAT16_NATIVE_TYPE float16_t;
typedef boost::float16_t float_fast16_t;
typedef boost::float16_t float_least16_t;
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float16_t>::is_iec559 == true, "boost::float16_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float16_t>::radix == 2, "boost::float16_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float16_t>::digits == 11, "boost::float16_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float16_t>::max_exponent == 16, "boost::float16_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
#undef BOOST_CSTDFLOAT_FLOAT_16_MIN
#undef BOOST_CSTDFLOAT_FLOAT_16_MAX
#endif
#if(BOOST_CSTDFLOAT_HAS_FLOAT32_NATIVE_TYPE == 1)
typedef BOOST_CSTDFLOAT_FLOAT32_NATIVE_TYPE float32_t;
typedef boost::float32_t float_fast32_t;
typedef boost::float32_t float_least32_t;
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float32_t>::is_iec559 == true, "boost::float32_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float32_t>::radix == 2, "boost::float32_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float32_t>::digits == 24, "boost::float32_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float32_t>::max_exponent == 128, "boost::float32_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
#undef BOOST_CSTDFLOAT_FLOAT_32_MIN
#undef BOOST_CSTDFLOAT_FLOAT_32_MAX
#endif
#if(BOOST_CSTDFLOAT_HAS_FLOAT64_NATIVE_TYPE == 1)
typedef BOOST_CSTDFLOAT_FLOAT64_NATIVE_TYPE float64_t;
typedef boost::float64_t float_fast64_t;
typedef boost::float64_t float_least64_t;
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float64_t>::is_iec559 == true, "boost::float64_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float64_t>::radix == 2, "boost::float64_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float64_t>::digits == 53, "boost::float64_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float64_t>::max_exponent == 1024, "boost::float64_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
#undef BOOST_CSTDFLOAT_FLOAT_64_MIN
#undef BOOST_CSTDFLOAT_FLOAT_64_MAX
#endif
#if(BOOST_CSTDFLOAT_HAS_FLOAT80_NATIVE_TYPE == 1)
typedef BOOST_CSTDFLOAT_FLOAT80_NATIVE_TYPE float80_t;
typedef boost::float80_t float_fast80_t;
typedef boost::float80_t float_least80_t;
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float80_t>::is_iec559 == true, "boost::float80_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float80_t>::radix == 2, "boost::float80_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float80_t>::digits == 64, "boost::float80_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float80_t>::max_exponent == 16384, "boost::float80_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
#undef BOOST_CSTDFLOAT_FLOAT_80_MIN
#undef BOOST_CSTDFLOAT_FLOAT_80_MAX
#endif
#if(BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE == 1)
typedef BOOST_CSTDFLOAT_FLOAT128_NATIVE_TYPE float128_t;
typedef boost::float128_t float_fast128_t;
typedef boost::float128_t float_least128_t;
#if defined(BOOST_CSTDFLOAT_HAS_INTERNAL_FLOAT128_T) && defined(BOOST_MATH_USE_FLOAT128) && !defined(BOOST_CSTDFLOAT_NO_LIBQUADMATH_SUPPORT)
// This configuration does not *yet* support std::numeric_limits<boost::float128_t>.
// Support for std::numeric_limits<boost::float128_t> is added in the detail
// file <boost/math/cstdfloat/cstdfloat_limits.hpp>.
#else
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float128_t>::is_iec559 == true, "boost::float128_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float128_t>::radix == 2, "boost::float128_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float128_t>::digits == 113, "boost::float128_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::float128_t>::max_exponent == 16384, "boost::float128_t has been detected in <boost/cstdfloat>, but verification with std::numeric_limits fails");
#endif
#undef BOOST_CSTDFLOAT_FLOAT_128_MIN
#undef BOOST_CSTDFLOAT_FLOAT_128_MAX
#endif
#if (BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH == 16)
typedef boost::float16_t floatmax_t;
#elif(BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH == 32)
typedef boost::float32_t floatmax_t;
#elif(BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH == 64)
typedef boost::float64_t floatmax_t;
#elif(BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH == 80)
typedef boost::float80_t floatmax_t;
#elif(BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH == 128)
typedef boost::float128_t floatmax_t;
#else
#error The maximum available floating-point width for <boost/cstdfloat.hpp> is undefined.
#endif
#undef BOOST_CSTDFLOAT_HAS_FLOAT16_NATIVE_TYPE
#undef BOOST_CSTDFLOAT_HAS_FLOAT32_NATIVE_TYPE
#undef BOOST_CSTDFLOAT_HAS_FLOAT64_NATIVE_TYPE
#undef BOOST_CSTDFLOAT_HAS_FLOAT80_NATIVE_TYPE
#undef BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE
#undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH
}
// namespace boost
#endif // _BOOST_CSTDFLOAT_BASE_TYPES_2014_01_09_HPP_
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