441 lines
		
	
	
		
			24 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
		
		
			
		
	
	
			441 lines
		
	
	
		
			24 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
|   | /////////////////////////////////////////////////////////////////////////////// | ||
|  | // 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(__GNUC__) | ||
|  |       typedef __float128      float_internal128_t; | ||
|  |     #elif defined(BOOST_INTEL) | ||
|  |       typedef _Quad           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 (defined(__SGI_STL_PORT) || defined(_STLPORT_VERSION)) && defined(__SUNPRO_CC) | ||
|  | #undef BOOST_CSTDFLOAT_HAS_FLOAT80_NATIVE_TYPE | ||
|  | #define BOOST_CSTDFLOAT_HAS_FLOAT80_NATIVE_TYPE 0 | ||
|  | #undef BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE | ||
|  | #define BOOST_CSTDFLOAT_HAS_FLOAT128_NATIVE_TYPE 0 | ||
|  | #undef BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH | ||
|  | #define BOOST_CSTDFLOAT_MAXIMUM_AVAILABLE_WIDTH 64 | ||
|  | #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_ |