/usr/lib/gcc/x86_64-linux-gnu/11/include/float.h

compiler-builtins.h

/* gcc -dM -E - < /dev/null */


#define __SSP_STRONG__ 3
#define __DBL_MIN_EXP__ (-1021)
#define __UINT_LEAST16_MAX__ 0xffff
#define __ATOMIC_ACQUIRE 2
#define __FLT128_MAX_10_EXP__ 4932
#define __FLT_MIN__ 1.17549435082228750796873653722224568e-38F
#define __GCC_IEC_559_COMPLEX 2
#define __UINT_LEAST8_TYPE__ unsigned char
#define __SIZEOF_FLOAT80__ 16
#define __INTMAX_C(c) c ## L
#define __CHAR_BIT__ 8
#define __UINT8_MAX__ 0xff
#define __SCHAR_WIDTH__ 8
#define __WINT_MAX__ 0xffffffffU
#define __FLT32_MIN_EXP__ (-125)
#define __ORDER_LITTLE_ENDIAN__ 1234
#define __SIZE_MAX__ 0xffffffffffffffffUL
#define __WCHAR_MAX__ 0x7fffffff
#define __GCC_HAVE_SYNC_COMPARE_AND_SWAP_1 1
#define __GCC_HAVE_SYNC_COMPARE_AND_SWAP_2 1
#define __GCC_HAVE_SYNC_COMPARE_AND_SWAP_4 1
#define __DBL_DENORM_MIN__ ((double)4.94065645841246544176568792868221372e-324L)
#define __GCC_HAVE_SYNC_COMPARE_AND_SWAP_8 1
#define __GCC_ATOMIC_CHAR_LOCK_FREE 2
#define __GCC_IEC_559 2
#define __FLT32X_DECIMAL_DIG__ 17
#define __FLT_EVAL_METHOD__ 0
#define __FLT64_DECIMAL_DIG__ 17
#define __CET__ 3
#define __GCC_ATOMIC_CHAR32_T_LOCK_FREE 2
#define __UINT_FAST64_MAX__ 0xffffffffffffffffUL
#define __SIG_ATOMIC_TYPE__ int
#define __DBL_MIN_10_EXP__ (-307)
#define __FINITE_MATH_ONLY__ 0
#define __FLT32X_MAX_EXP__ 1024
#define __FLT32_HAS_DENORM__ 1
#define __UINT_FAST8_MAX__ 0xff
#define __FLT32_MAX_10_EXP__ 38
#define __DEC64_MAX_EXP__ 385
#define __INT8_C(c) c
#define __INT_LEAST8_WIDTH__ 8
#define __UINT_LEAST64_MAX__ 0xffffffffffffffffUL
#define __SHRT_MAX__ 0x7fff
#define __LDBL_MAX__ 1.18973149535723176502126385303097021e+4932L
#define __FLT64X_MAX_10_EXP__ 4932
#define __LDBL_IS_IEC_60559__ 2
#define __FLT64X_HAS_QUIET_NAN__ 1
#define __UINT_LEAST8_MAX__ 0xff
#define __GCC_ATOMIC_BOOL_LOCK_FREE 2
#define __FLT128_DENORM_MIN__ 6.47517511943802511092443895822764655e-4966F128
#define __UINTMAX_TYPE__ long unsigned int
#define __linux 1
#define __DEC32_EPSILON__ 1E-6DF
#define __FLT_EVAL_METHOD_TS_18661_3__ 0
#define __unix 1
#define __UINT32_MAX__ 0xffffffffU
#define __FLT128_MIN_EXP__ (-16381)
#define __WINT_MIN__ 0U
#define __FLT128_MIN_10_EXP__ (-4931)
#define __FLT32X_IS_IEC_60559__ 2
#define __INT_LEAST16_WIDTH__ 16
#define __SCHAR_MAX__ 0x7f
#define __FLT128_MANT_DIG__ 113
#define __WCHAR_MIN__ (-__WCHAR_MAX__ - 1)
#define __INT64_C(c) c ## L
#define __GCC_ATOMIC_POINTER_LOCK_FREE 2
#define __FLT32X_MANT_DIG__ 53
#define __USER_LABEL_PREFIX__ 
#define __FLT64X_EPSILON__ 1.08420217248550443400745280086994171e-19F64x
#define __STDC_HOSTED__ 1
#define __DEC64_MIN_EXP__ (-382)
#define __DBL_DIG__ 15
#define __FLT32_DIG__ 6
#define __FLT_EPSILON__ 1.19209289550781250000000000000000000e-7F
#define __SHRT_WIDTH__ 16
#define __FLT32_IS_IEC_60559__ 2
#define __LDBL_MIN__ 3.36210314311209350626267781732175260e-4932L
#define __STDC_UTF_16__ 1
#define __DBL_IS_IEC_60559__ 2
#define __DEC32_MAX__ 9.999999E96DF
#define __FLT64X_DENORM_MIN__ 3.64519953188247460252840593361941982e-4951F64x
#define __FLT32X_HAS_INFINITY__ 1
#define __INT32_MAX__ 0x7fffffff
#define __unix__ 1
#define __INT_WIDTH__ 32
#define __SIZEOF_LONG__ 8
#define __STDC_IEC_559__ 1
#define __STDC_ISO_10646__ 201706L
#define __UINT16_C(c) c
#define __DECIMAL_DIG__ 21
#define __STDC_IEC_559_COMPLEX__ 1
#define __FLT64_EPSILON__ 2.22044604925031308084726333618164062e-16F64
#define __gnu_linux__ 1
#define __FLT128_IS_IEC_60559__ 2
#define __FLT64X_MIN_10_EXP__ (-4931)
#define __LDBL_HAS_QUIET_NAN__ 1
#define __FLT64_MANT_DIG__ 53
#define __FLT64X_MANT_DIG__ 64
#define __GNUC__ 11
#define __pie__ 2
#define __MMX__ 1
#define __FLT_HAS_DENORM__ 1
#define __SIZEOF_LONG_DOUBLE__ 16
#define __BIGGEST_ALIGNMENT__ 16
#define __FLT64_MAX_10_EXP__ 308
#define __DBL_MAX__ ((double)1.79769313486231570814527423731704357e+308L)
#define __INT_FAST32_MAX__ 0x7fffffffffffffffL
#define __DBL_HAS_INFINITY__ 1
#define __SIZEOF_FLOAT__ 4
#define __HAVE_SPECULATION_SAFE_VALUE 1
#define __DEC32_MIN_EXP__ (-94)
#define __INTPTR_WIDTH__ 64
#define __FLT64X_HAS_INFINITY__ 1
#define __UINT_LEAST32_MAX__ 0xffffffffU
#define __FLT32X_HAS_DENORM__ 1
#define __INT_FAST16_TYPE__ long int
#define __MMX_WITH_SSE__ 1
#define __LDBL_HAS_DENORM__ 1
#define __FLT128_HAS_INFINITY__ 1
#define __DEC32_MIN__ 1E-95DF
#define __DBL_MAX_EXP__ 1024
#define __WCHAR_WIDTH__ 32
#define __FLT32_MAX__ 3.40282346638528859811704183484516925e+38F32
#define __DEC128_EPSILON__ 1E-33DL
#define __SSE2_MATH__ 1
#define __ATOMIC_HLE_RELEASE 131072
#define __PTRDIFF_MAX__ 0x7fffffffffffffffL
#define __amd64 1
#define __ATOMIC_HLE_ACQUIRE 65536
#define __LONG_LONG_MAX__ 0x7fffffffffffffffLL
#define __SIZEOF_SIZE_T__ 8
#define __FLT64X_MIN_EXP__ (-16381)
#define __SIZEOF_WINT_T__ 4
#define __LONG_LONG_WIDTH__ 64
#define __FLT32_MAX_EXP__ 128
#define __GXX_ABI_VERSION 1016
#define __FLT_MIN_EXP__ (-125)
#define __GCC_HAVE_DWARF2_CFI_ASM 1
#define __INT16_MAX__ 0x7fff
#define __x86_64 1
#define __INT_FAST64_TYPE__ long int
#define __FLT64_DENORM_MIN__ 4.94065645841246544176568792868221372e-324F64
#define __DBL_MIN__ ((double)2.22507385850720138309023271733240406e-308L)
#define __FLT128_EPSILON__ 1.92592994438723585305597794258492732e-34F128
#define __FLT64X_NORM_MAX__ 1.18973149535723176502126385303097021e+4932F64x
#define __SIZEOF_POINTER__ 8
#define __LP64__ 1
#define __DBL_HAS_QUIET_NAN__ 1
#define __FLT32X_EPSILON__ 2.22044604925031308084726333618164062e-16F32x
#define __DECIMAL_BID_FORMAT__ 1
#define __FLT64_MIN_EXP__ (-1021)
#define __FLT64_MIN_10_EXP__ (-307)
#define __FLT64X_DECIMAL_DIG__ 21
#define __DEC128_MIN__ 1E-6143DL
#define __REGISTER_PREFIX__ 
#define __UINT16_MAX__ 0xffff
#define __DBL_HAS_DENORM__ 1
#define __LDBL_HAS_INFINITY__ 1
#define __FLT32_MIN__ 1.17549435082228750796873653722224568e-38F32
#define __UINT8_TYPE__ unsigned char
#define __FLT_DIG__ 6
#define __NO_INLINE__ 1
#define __DEC_EVAL_METHOD__ 2
#define __DEC128_MAX__ 9.999999999999999999999999999999999E6144DL
#define __FLT_MANT_DIG__ 24
#define __LDBL_DECIMAL_DIG__ 21
#define __VERSION__ "11.2.0"
#define __UINT64_C(c) c ## UL
#define _STDC_PREDEF_H 1
#define __INT_LEAST32_MAX__ 0x7fffffff
#define __GCC_ATOMIC_INT_LOCK_FREE 2
#define __FLT128_MAX_EXP__ 16384
#define __FLT32_MANT_DIG__ 24
#define __FLOAT_WORD_ORDER__ __ORDER_LITTLE_ENDIAN__
#define __STDC_IEC_60559_COMPLEX__ 201404L
#define __FLT128_HAS_DENORM__ 1
#define __FLT32_DECIMAL_DIG__ 9
#define __FLT128_DIG__ 33
#define __INT32_C(c) c
#define __DEC64_EPSILON__ 1E-15DD
#define __ORDER_PDP_ENDIAN__ 3412
#define __DEC128_MIN_EXP__ (-6142)
#define __INT_FAST32_TYPE__ long int
#define __UINT_LEAST16_TYPE__ short unsigned int
#define unix 1
#define __SIZE_TYPE__ long unsigned int
#define __UINT64_MAX__ 0xffffffffffffffffUL
#define __FLT_IS_IEC_60559__ 2
#define __GNUC_WIDE_EXECUTION_CHARSET_NAME "UTF-32LE"
#define __FLT64X_DIG__ 18
#define __INT8_TYPE__ signed char
#define __ELF__ 1
#define __GCC_ASM_FLAG_OUTPUTS__ 1
#define __UINT32_TYPE__ unsigned int
#define __FLT_RADIX__ 2
#define __INT_LEAST16_TYPE__ short int
#define __LDBL_EPSILON__ 1.08420217248550443400745280086994171e-19L
#define __UINTMAX_C(c) c ## UL
#define __SSE_MATH__ 1
#define __k8 1
#define __FLT32X_MIN__ 2.22507385850720138309023271733240406e-308F32x
#define __SIG_ATOMIC_MAX__ 0x7fffffff
#define __GCC_ATOMIC_WCHAR_T_LOCK_FREE 2
#define __STDC_IEC_60559_BFP__ 201404L
#define __SIZEOF_PTRDIFF_T__ 8
#define __LDBL_DIG__ 18
#define __FLT64_IS_IEC_60559__ 2
#define __x86_64__ 1
#define __FLT32X_MIN_EXP__ (-1021)
#define __DEC32_SUBNORMAL_MIN__ 0.000001E-95DF
#define __INT_FAST16_MAX__ 0x7fffffffffffffffL
#define __FLT64_DIG__ 15
#define __UINT_FAST32_MAX__ 0xffffffffffffffffUL
#define __UINT_LEAST64_TYPE__ long unsigned int
#define __FLT_HAS_QUIET_NAN__ 1
#define __FLT_MAX_10_EXP__ 38
#define __LONG_MAX__ 0x7fffffffffffffffL
#define __FLT64X_HAS_DENORM__ 1
#define __DEC128_SUBNORMAL_MIN__ 0.000000000000000000000000000000001E-6143DL
#define __FLT_HAS_INFINITY__ 1
#define __GNUC_EXECUTION_CHARSET_NAME "UTF-8"
#define __UINT_FAST16_TYPE__ long unsigned int
#define __DEC64_MAX__ 9.999999999999999E384DD
#define __INT_FAST32_WIDTH__ 64
#define __CHAR16_TYPE__ short unsigned int
#define __PRAGMA_REDEFINE_EXTNAME 1
#define __SIZE_WIDTH__ 64
#define __SEG_FS 1
#define __INT_LEAST16_MAX__ 0x7fff
#define __DEC64_MANT_DIG__ 16
#define __INT64_MAX__ 0x7fffffffffffffffL
#define __SEG_GS 1
#define __FLT32_DENORM_MIN__ 1.40129846432481707092372958328991613e-45F32
#define __SIG_ATOMIC_WIDTH__ 32
#define __INT_LEAST64_TYPE__ long int
#define __INT16_TYPE__ short int
#define __INT_LEAST8_TYPE__ signed char
#define __STDC_VERSION__ 201710L
#define __SIZEOF_INT__ 4
#define __DEC32_MAX_EXP__ 97
#define __INT_FAST8_MAX__ 0x7f
#define __FLT128_MAX__ 1.18973149535723176508575932662800702e+4932F128
#define __INTPTR_MAX__ 0x7fffffffffffffffL
#define linux 1
#define __FLT64_HAS_QUIET_NAN__ 1
#define __FLT32_MIN_10_EXP__ (-37)
#define __FLT32X_DIG__ 15
#define __PTRDIFF_WIDTH__ 64
#define __LDBL_MANT_DIG__ 64
#define __FLT64_HAS_INFINITY__ 1
#define __FLT64X_MAX__ 1.18973149535723176502126385303097021e+4932F64x
#define __SIG_ATOMIC_MIN__ (-__SIG_ATOMIC_MAX__ - 1)
#define __code_model_small__ 1
#define __GCC_ATOMIC_LONG_LOCK_FREE 2
#define __DEC32_MANT_DIG__ 7
#define __k8__ 1
#define __INTPTR_TYPE__ long int
#define __UINT16_TYPE__ short unsigned int
#define __WCHAR_TYPE__ int
#define __pic__ 2
#define __UINTPTR_MAX__ 0xffffffffffffffffUL
#define __INT_FAST64_WIDTH__ 64
#define __INT_FAST64_MAX__ 0x7fffffffffffffffL
#define __GCC_ATOMIC_TEST_AND_SET_TRUEVAL 1
#define __FLT_NORM_MAX__ 3.40282346638528859811704183484516925e+38F
#define __FLT32_HAS_INFINITY__ 1
#define __FLT64X_MAX_EXP__ 16384
#define __UINT_FAST64_TYPE__ long unsigned int
#define __INT_MAX__ 0x7fffffff
#define __linux__ 1
#define __INT64_TYPE__ long int
#define __FLT_MAX_EXP__ 128
#define __ORDER_BIG_ENDIAN__ 4321
#define __DBL_MANT_DIG__ 53
#define __SIZEOF_FLOAT128__ 16
#define __INT_LEAST64_MAX__ 0x7fffffffffffffffL
#define __GCC_ATOMIC_CHAR16_T_LOCK_FREE 2
#define __DEC64_MIN__ 1E-383DD
#define __WINT_TYPE__ unsigned int
#define __UINT_LEAST32_TYPE__ unsigned int
#define __SIZEOF_SHORT__ 2
#define __FLT32_NORM_MAX__ 3.40282346638528859811704183484516925e+38F32
#define __SSE__ 1
#define __LDBL_MIN_EXP__ (-16381)
#define __FLT64_MAX__ 1.79769313486231570814527423731704357e+308F64
#define __amd64__ 1
#define __WINT_WIDTH__ 32
#define __INT_LEAST8_MAX__ 0x7f
#define __INT_LEAST64_WIDTH__ 64
#define __LDBL_MAX_EXP__ 16384
#define __FLT32X_MAX_10_EXP__ 308
#define __SIZEOF_INT128__ 16
#define __FLT64X_IS_IEC_60559__ 2
#define __LDBL_MAX_10_EXP__ 4932
#define __ATOMIC_RELAXED 0
#define __DBL_EPSILON__ ((double)2.22044604925031308084726333618164062e-16L)
#define __FLT128_MIN__ 3.36210314311209350626267781732175260e-4932F128
#define _LP64 1
#define __UINT8_C(c) c
#define __FLT64_MAX_EXP__ 1024
#define __INT_LEAST32_TYPE__ int
#define __SIZEOF_WCHAR_T__ 4
#define __UINT64_TYPE__ long unsigned int
#define __GNUC_PATCHLEVEL__ 0
#define __FLT128_NORM_MAX__ 1.18973149535723176508575932662800702e+4932F128
#define __FLT64_NORM_MAX__ 1.79769313486231570814527423731704357e+308F64
#define __FLT128_HAS_QUIET_NAN__ 1
#define __INTMAX_MAX__ 0x7fffffffffffffffL
#define __INT_FAST8_TYPE__ signed char
#define __FLT64X_MIN__ 3.36210314311209350626267781732175260e-4932F64x
#define __GNUC_STDC_INLINE__ 1
#define __FLT64_HAS_DENORM__ 1
#define __FLT32_EPSILON__ 1.19209289550781250000000000000000000e-7F32
#define __DBL_DECIMAL_DIG__ 17
#define __STDC_UTF_32__ 1
#define __INT_FAST8_WIDTH__ 8
#define __FXSR__ 1
#define __FLT32X_MAX__ 1.79769313486231570814527423731704357e+308F32x
#define __DBL_NORM_MAX__ ((double)1.79769313486231570814527423731704357e+308L)
#define __BYTE_ORDER__ __ORDER_LITTLE_ENDIAN__
#define __INTMAX_WIDTH__ 64
#define __UINT32_C(c) c ## U
#define __FLT_DENORM_MIN__ 1.40129846432481707092372958328991613e-45F
#define __INT8_MAX__ 0x7f
#define __LONG_WIDTH__ 64
#define __PIC__ 2
#define __UINT_FAST32_TYPE__ long unsigned int
#define __FLT32X_NORM_MAX__ 1.79769313486231570814527423731704357e+308F32x
#define __CHAR32_TYPE__ unsigned int
#define __FLT_MAX__ 3.40282346638528859811704183484516925e+38F
#define __SSE2__ 1
#define __INT32_TYPE__ int
#define __SIZEOF_DOUBLE__ 8
#define __FLT_MIN_10_EXP__ (-37)
#define __FLT64_MIN__ 2.22507385850720138309023271733240406e-308F64
#define __INT_LEAST32_WIDTH__ 32
#define __INTMAX_TYPE__ long int
#define __DEC128_MAX_EXP__ 6145
#define __FLT32X_HAS_QUIET_NAN__ 1
#define __ATOMIC_CONSUME 1
#define __GNUC_MINOR__ 2
#define __INT_FAST16_WIDTH__ 64
#define __UINTMAX_MAX__ 0xffffffffffffffffUL
#define __PIE__ 2
#define __FLT32X_DENORM_MIN__ 4.94065645841246544176568792868221372e-324F32x
#define __DBL_MAX_10_EXP__ 308
#define __LDBL_DENORM_MIN__ 3.64519953188247460252840593361941982e-4951L
#define __INT16_C(c) c
#define __STDC__ 1
#define __PTRDIFF_TYPE__ long int
#define __ATOMIC_SEQ_CST 5
#define __FLT32X_MIN_10_EXP__ (-307)
#define __UINTPTR_TYPE__ long unsigned int
#define __DEC64_SUBNORMAL_MIN__ 0.000000000000001E-383DD
#define __DEC128_MANT_DIG__ 34
#define __LDBL_MIN_10_EXP__ (-4931)
#define __SIZEOF_LONG_LONG__ 8
#define __FLT128_DECIMAL_DIG__ 36
#define __GCC_ATOMIC_LLONG_LOCK_FREE 2
#define __FLT32_HAS_QUIET_NAN__ 1
#define __FLT_DECIMAL_DIG__ 9
#define __UINT_FAST16_MAX__ 0xffffffffffffffffUL
#define __LDBL_NORM_MAX__ 1.18973149535723176502126385303097021e+4932L
#define __GCC_ATOMIC_SHORT_LOCK_FREE 2
#define __UINT_FAST8_TYPE__ unsigned char
#define __ATOMIC_ACQ_REL 4
#define __ATOMIC_RELEASE 3

gistfile1.txt

/* Radix of exponent representation, b. */
#define FLT_RADIX	__FLT_RADIX__

/* Number of base-FLT_RADIX digits in the significand, p.  */
#define FLT_MANT_DIG	__FLT_MANT_DIG__
#define DBL_MANT_DIG	__DBL_MANT_DIG__
#define LDBL_MANT_DIG	__LDBL_MANT_DIG__

/* Number of decimal digits, q, such that any floating-point number with q
   decimal digits can be rounded into a floating-point number with p radix b
   digits and back again without change to the q decimal digits,

	p * log10(b)			if b is a power of 10
	floor((p - 1) * log10(b))	otherwise
*/
#define FLT_DIG		__FLT_DIG__
#define DBL_DIG		__DBL_DIG__
#define LDBL_DIG	__LDBL_DIG__

/* Minimum int x such that FLT_RADIX**(x-1) is a normalized float, emin */
#define FLT_MIN_EXP	__FLT_MIN_EXP__
#define DBL_MIN_EXP	__DBL_MIN_EXP__
#define LDBL_MIN_EXP	__LDBL_MIN_EXP__

/* Minimum negative integer such that 10 raised to that power is in the
   range of normalized floating-point numbers,

	ceil(log10(b) * (emin - 1))
*/
#define FLT_MIN_10_EXP	__FLT_MIN_10_EXP__
#define DBL_MIN_10_EXP	__DBL_MIN_10_EXP__
#define LDBL_MIN_10_EXP	__LDBL_MIN_10_EXP__

/* Maximum int x such that FLT_RADIX**(x-1) is a representable float, emax.  */
#define FLT_MAX_EXP	__FLT_MAX_EXP__
#define DBL_MAX_EXP	__DBL_MAX_EXP__
#define LDBL_MAX_EXP	__LDBL_MAX_EXP__

/* Maximum integer such that 10 raised to that power is in the range of
   representable finite floating-point numbers,
 
	floor(log10((1 - b**-p) * b**emax))
*/
#define FLT_MAX_10_EXP	__FLT_MAX_10_EXP__
#define DBL_MAX_10_EXP	__DBL_MAX_10_EXP__
#define LDBL_MAX_10_EXP	__LDBL_MAX_10_EXP__

/* Maximum representable finite floating-point number,

	(1 - b**-p) * b**emax
*/
#define FLT_MAX		__FLT_MAX__
#define DBL_MAX		__DBL_MAX__
#define LDBL_MAX	__LDBL_MAX__

/* The difference between 1 and the least value greater than 1 that is
   representable in the given floating point type, b**1-p.  */
#define FLT_EPSILON	__FLT_EPSILON__
#define DBL_EPSILON	__DBL_EPSILON__
#define LDBL_EPSILON	__LDBL_EPSILON__

/* Minimum normalized positive floating-point number, b**(emin - 1).  */
#define FLT_MIN		__FLT_MIN__
#define DBL_MIN		__DBL_MIN__
#define LDBL_MIN	__LDBL_MIN__

/* Addition rounds to 0: zero, 1: nearest, 2: +inf, 3: -inf, -1: unknown.  */
/* ??? This is supposed to change with calls to fesetround in <fenv.h>.  */
#define FLT_ROUNDS 1

/* The floating-point expression evaluation method.  The precise
   definitions of these values are generalised to include support for
   the interchange and extended types defined in ISO/IEC TS 18661-3.
   Prior to this (for C99/C11) the definitions were:

	-1  indeterminate
	 0  evaluate all operations and constants just to the range and
	    precision of the type
	 1  evaluate operations and constants of type float and double
	    to the range and precision of the double type, evaluate
	    long double operations and constants to the range and
	    precision of the long double type
	 2  evaluate all operations and constants to the range and
	    precision of the long double type

   The TS 18661-3 definitions are:

	-1  indeterminate
	 0  evaluate all operations and constants, whose semantic type has
	    at most the range and precision of float, to the range and
	    precision of float; evaluate all other operations and constants
	    to the range and precision of the semantic type.
	 1  evaluate all operations and constants, whose semantic type has
	    at most the range and precision of double, to the range and
	    precision of double; evaluate all other operations and constants
	    to the range and precision of the semantic type.
	 2  evaluate all operations and constants, whose semantic type has
	    at most the range and precision of long double, to the range and
	    precision of long double; evaluate all other operations and
	    constants to the range and precision of the semantic type.
	 N  where _FloatN  is a supported interchange floating type
	    evaluate all operations and constants, whose semantic type has
	    at most the range and precision of the _FloatN type, to the
	    range and precision of the _FloatN type; evaluate all other
	    operations and constants to the range and precision of the
	    semantic type.
	 N + 1, where _FloatNx is a supported extended floating type
	    evaluate operations and constants, whose semantic type has at
	    most the range and precision of the _FloatNx type, to the range
	    and precision of the _FloatNx type; evaluate all other
	    operations and constants to the range and precision of the
	    semantic type.

   The compiler predefines two macros:

      __FLT_EVAL_METHOD__
      Which, depending on the value given for
      -fpermitted-flt-eval-methods, may be limited to only those values
      for FLT_EVAL_METHOD defined in C99/C11.

     __FLT_EVAL_METHOD_TS_18661_3__
      Which always permits the values for FLT_EVAL_METHOD defined in
      ISO/IEC TS 18661-3.

     Here we want to use __FLT_EVAL_METHOD__, unless
     __STDC_WANT_IEC_60559_TYPES_EXT__ is defined, in which case the user
     is specifically asking for the ISO/IEC TS 18661-3 types, so we use
     __FLT_EVAL_METHOD_TS_18661_3__.

   ??? This ought to change with the setting of the fp control word;
   the value provided by the compiler assumes the widest setting.  */
#ifdef __STDC_WANT_IEC_60559_TYPES_EXT__
#define FLT_EVAL_METHOD __FLT_EVAL_METHOD_TS_18661_3__
#else
#define FLT_EVAL_METHOD	__FLT_EVAL_METHOD__
#endif

/* Number of decimal digits, n, such that any floating-point number in the
   widest supported floating type with pmax radix b digits can be rounded
   to a floating-point number with n decimal digits and back again without
   change to the value,

	pmax * log10(b)			if b is a power of 10
	ceil(1 + pmax * log10(b))	otherwise
*/
#define DECIMAL_DIG	__DECIMAL_DIG__

/* Versions of DECIMAL_DIG for each floating-point type.  */
#define FLT_DECIMAL_DIG		__FLT_DECIMAL_DIG__
#define DBL_DECIMAL_DIG		__DBL_DECIMAL_DIG__
#define LDBL_DECIMAL_DIG	__LDBL_DECIMAL_DIG__

/* Whether types support subnormal numbers.  */
#define FLT_HAS_SUBNORM		__FLT_HAS_DENORM__
#define DBL_HAS_SUBNORM		__DBL_HAS_DENORM__
#define LDBL_HAS_SUBNORM	__LDBL_HAS_DENORM__

/* Minimum positive values, including subnormals.  */
#define FLT_TRUE_MIN	__FLT_DENORM_MIN__
#define DBL_TRUE_MIN	__DBL_DENORM_MIN__
#define LDBL_TRUE_MIN	__LDBL_DENORM_MIN__

/* Maximum finite positive value with MANT_DIG digits in the
   significand taking their maximum value.  */
#define FLT_NORM_MAX	__FLT_NORM_MAX__
#define DBL_NORM_MAX	__DBL_NORM_MAX__
#define LDBL_NORM_MAX	__LDBL_NORM_MAX__

/* Whether each type matches an IEC 60559 format (1 for format, 2 for
   format and operations).  */
#define FLT_IS_IEC_60559	__FLT_IS_IEC_60559__
#define DBL_IS_IEC_60559	__DBL_IS_IEC_60559__
#define LDBL_IS_IEC_60559	__LDBL_IS_IEC_60559__

/* Infinity in type float, or overflow if infinity not supported.  */
#define INFINITY	(__builtin_inff ())

/* Quiet NaN, if supported for float.  */
#define NAN		(__builtin_nanf (""))

/* Signaling NaN, if supported for each type.  All formats supported
   by GCC support either both quiet and signaling NaNs, or neither
   kind of NaN.  */
#define FLT_SNAN	(__builtin_nansf (""))
#define DBL_SNAN	(__builtin_nans (""))
#define LDBL_SNAN	(__builtin_nansl (""))

#endif /* C2X */

/* Number of decimal digits for which conversions between decimal
   character strings and binary formats, in both directions, are
   correctly rounded.  */
#define CR_DECIMAL_DIG	__UINTMAX_MAX__

/* Constants for _FloatN and _FloatNx types from TS 18661-3.  See
   comments above for their semantics.  */

#define FLT16_MANT_DIG		__FLT16_MANT_DIG__
#define FLT16_DIG		__FLT16_DIG__
#define FLT16_MIN_EXP		__FLT16_MIN_EXP__
#define FLT16_MIN_10_EXP	__FLT16_MIN_10_EXP__
#define FLT16_MAX_EXP		__FLT16_MAX_EXP__
#define FLT16_MAX_10_EXP	__FLT16_MAX_10_EXP__
#define FLT16_MAX		__FLT16_MAX__
#define FLT16_EPSILON		__FLT16_EPSILON__
#define FLT16_MIN		__FLT16_MIN__
#define FLT16_DECIMAL_DIG	__FLT16_DECIMAL_DIG__
#define FLT16_TRUE_MIN		__FLT16_DENORM_MIN__
#define FLT16_SNAN	(__builtin_nansf16 (""))

#define FLT32_MANT_DIG		__FLT32_MANT_DIG__
#define FLT32_DIG		__FLT32_DIG__
#define FLT32_MIN_EXP		__FLT32_MIN_EXP__
#define FLT32_MIN_10_EXP	__FLT32_MIN_10_EXP__
#define FLT32_MAX_EXP		__FLT32_MAX_EXP__
#define FLT32_MAX_10_EXP	__FLT32_MAX_10_EXP__
#define FLT32_MAX		__FLT32_MAX__
#define FLT32_EPSILON		__FLT32_EPSILON__
#define FLT32_MIN		__FLT32_MIN__
#define FLT32_DECIMAL_DIG	__FLT32_DECIMAL_DIG__
#define FLT32_TRUE_MIN		__FLT32_DENORM_MIN__
#define FLT32_SNAN	(__builtin_nansf32 (""))

#define FLT64_MANT_DIG		__FLT64_MANT_DIG__
#define FLT64_DIG		__FLT64_DIG__
#define FLT64_MIN_EXP		__FLT64_MIN_EXP__
#define FLT64_MIN_10_EXP	__FLT64_MIN_10_EXP__
#define FLT64_MAX_10_EXP	__FLT64_MAX_10_EXP__
#define FLT64_MAX		__FLT64_MAX__
#define FLT64_EPSILON		__FLT64_EPSILON__
#define FLT64_MIN		__FLT64_MIN__
#define FLT64_DECIMAL_DIG	__FLT64_DECIMAL_DIG__
#define FLT64_TRUE_MIN		__FLT64_DENORM_MIN__
#define FLT64_SNAN	(__builtin_nansf64 (""))

#define FLT128_MANT_DIG		__FLT128_MANT_DIG__
#define FLT128_DIG		__FLT128_DIG__
#define FLT128_MIN_EXP		__FLT128_MIN_EXP__
#define FLT128_MIN_10_EXP	__FLT128_MIN_10_EXP__
#define FLT128_MAX_EXP		__FLT128_MAX_EXP__
#define FLT128_MAX_10_EXP	__FLT128_MAX_10_EXP__
#define FLT128_MAX		__FLT128_MAX__
#define FLT128_EPSILON		__FLT128_EPSILON__
#define FLT128_MIN		__FLT128_MIN__
#define FLT128_DECIMAL_DIG	__FLT128_DECIMAL_DIG__
#define FLT128_TRUE_MIN		__FLT128_DENORM_MIN__
#define FLT128_SNAN	(__builtin_nansf128 (""))

#define FLT32X_MANT_DIG		__FLT32X_MANT_DIG__
#define FLT32X_DIG		__FLT32X_DIG__
#define FLT32X_MIN_EXP		__FLT32X_MIN_EXP__
#define FLT32X_MIN_10_EXP	__FLT32X_MIN_10_EXP__
#define FLT32X_MAX_EXP		__FLT32X_MAX_EXP__
#define FLT32X_MAX_10_EXP	__FLT32X_MAX_10_EXP__
#define FLT32X_MAX		__FLT32X_MAX__
#define FLT32X_EPSILON		__FLT32X_EPSILON__
#define FLT32X_MIN		__FLT32X_MIN__
#define FLT32X_DECIMAL_DIG	__FLT32X_DECIMAL_DIG__
#define FLT32X_TRUE_MIN		__FLT32X_DENORM_MIN__
#define FLT32X_SNAN	(__builtin_nansf32x (""))

#define FLT64X_MANT_DIG		__FLT64X_MANT_DIG__
#define FLT64X_DIG		__FLT64X_DIG__
#define FLT64X_MIN_EXP		__FLT64X_MIN_EXP__
#define FLT64X_MIN_10_EXP	__FLT64X_MIN_10_EXP__
#define FLT64X_MAX_EXP		__FLT64X_MAX_EXP__
#define FLT64X_MAX_10_EXP	__FLT64X_MAX_10_EXP__
#define FLT64X_MAX		__FLT64X_MAX__
#define FLT64X_EPSILON		__FLT64X_EPSILON__
#define FLT64X_MIN		__FLT64X_MIN__
#define FLT64X_DECIMAL_DIG	__FLT64X_DECIMAL_DIG__
#define FLT64X_TRUE_MIN		__FLT64X_DENORM_MIN__
#define FLT64X_SNAN	(__builtin_nansf64x (""))

#define FLT128X_MANT_DIG	__FLT128X_MANT_DIG__
#define FLT128X_DIG		__FLT128X_DIG__
#define FLT128X_MIN_EXP		__FLT128X_MIN_EXP__
#define FLT128X_MIN_10_EXP	__FLT128X_MIN_10_EXP__
#define FLT128X_MAX_EXP		__FLT128X_MAX_EXP__
#define FLT128X_MAX_10_EXP	__FLT128X_MAX_10_EXP__
#define FLT128X_MAX		__FLT128X_MAX__
#define FLT128X_EPSILON		__FLT128X_EPSILON__
#define FLT128X_MIN		__FLT128X_MIN__
#define FLT128X_DECIMAL_DIG	__FLT128X_DECIMAL_DIG__
#define FLT128X_TRUE_MIN	__FLT128X_DENORM_MIN__
#define FLT128X_SNAN	(__builtin_nansf128x (""))

#endif /* __STDC_WANT_IEC_60559_TYPES_EXT__.  */

/* C2X; formerly Technical Report 24732, extension for decimal
   floating-point arithmetic: Characteristic of decimal floating types
   <float.h>, and TS 18661-2.  */

/* Number of base-FLT_RADIX digits in the significand, p.  */
#define DEC32_MANT_DIG	__DEC32_MANT_DIG__
#define DEC64_MANT_DIG	__DEC64_MANT_DIG__
#define DEC128_MANT_DIG	__DEC128_MANT_DIG__

/* Minimum exponent. */
#define DEC32_MIN_EXP	__DEC32_MIN_EXP__
#define DEC64_MIN_EXP	__DEC64_MIN_EXP__
#define DEC128_MIN_EXP	__DEC128_MIN_EXP__

/* Maximum exponent. */
#define DEC32_MAX_EXP	__DEC32_MAX_EXP__
#define DEC64_MAX_EXP	__DEC64_MAX_EXP__
#define DEC128_MAX_EXP	__DEC128_MAX_EXP__

/* Maximum representable finite decimal floating-point number
   (there are 6, 15, and 33 9s after the decimal points respectively). */
#define DEC32_MAX   __DEC32_MAX__
#define DEC64_MAX   __DEC64_MAX__
#define DEC128_MAX  __DEC128_MAX__

/* The difference between 1 and the least value greater than 1 that is
   representable in the given floating point type. */
#define DEC32_EPSILON	__DEC32_EPSILON__
#define DEC64_EPSILON	__DEC64_EPSILON__
#define DEC128_EPSILON	__DEC128_EPSILON__

/* Minimum normalized positive floating-point number. */
#define DEC32_MIN	__DEC32_MIN__
#define DEC64_MIN	__DEC64_MIN__
#define DEC128_MIN	__DEC128_MIN__

/* The floating-point expression evaluation method.
         -1  indeterminate
         0  evaluate all operations and constants just to the range and
            precision of the type
         1  evaluate operations and constants of type _Decimal32 
	    and _Decimal64 to the range and precision of the _Decimal64 
            type, evaluate _Decimal128 operations and constants to the 
	    range and precision of the _Decimal128 type;
	 2  evaluate all operations and constants to the range and
	    precision of the _Decimal128 type.  */

#define DEC_EVAL_METHOD	__DEC_EVAL_METHOD__

/* Minimum subnormal positive floating-point number. */
#define DEC32_SUBNORMAL_MIN       __DEC32_SUBNORMAL_MIN__
#define DEC64_SUBNORMAL_MIN       __DEC64_SUBNORMAL_MIN__
#define DEC128_SUBNORMAL_MIN      __DEC128_SUBNORMAL_MIN__

/* Minimum subnormal positive floating-point number. */
#define DEC32_TRUE_MIN       __DEC32_SUBNORMAL_MIN__
#define DEC64_TRUE_MIN       __DEC64_SUBNORMAL_MIN__
#define DEC128_TRUE_MIN      __DEC128_SUBNORMAL_MIN__

/* Infinity in type _Decimal32.  */
#define DEC_INFINITY	(__builtin_infd32 ())

/* Quiet NaN in type _Decimal32.  */
#define DEC_NAN		(__builtin_nand32 (""))

/* Signaling NaN in each decimal floating-point type.  */
#define DEC32_SNAN	(__builtin_nansd32 (""))
#define DEC64_SNAN	(__builtin_nansd64 (""))
#define DEC128_SNAN	(__builtin_nansd128 (""))