/* A correct . Copyright (C) 2007-2025 Free Software Foundation, Inc. This file is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. This file is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see . */ #ifndef _@GUARD_PREFIX@_FLOAT_H #if __GNUC__ >= 3 @PRAGMA_SYSTEM_HEADER@ #endif @PRAGMA_COLUMNS@ /* The include_next requires a split double-inclusion guard. */ #@INCLUDE_NEXT@ @NEXT_FLOAT_H@ #ifndef _@GUARD_PREFIX@_FLOAT_H #define _@GUARD_PREFIX@_FLOAT_H /* ============================ ISO C99 support ============================ */ /* 'long double' properties. */ #if defined __i386__ && (defined __BEOS__ || defined __OpenBSD__) /* Number of mantissa units, in base FLT_RADIX. */ # undef LDBL_MANT_DIG # define LDBL_MANT_DIG 64 /* Number of decimal digits that is sufficient for representing a number. */ # undef LDBL_DIG # define LDBL_DIG 18 /* x-1 where x is the smallest representable number > 1. */ # undef LDBL_EPSILON # define LDBL_EPSILON 1.0842021724855044340E-19L /* Minimum e such that FLT_RADIX^(e-1) is a normalized number. */ # undef LDBL_MIN_EXP # define LDBL_MIN_EXP (-16381) /* Maximum e such that FLT_RADIX^(e-1) is a representable finite number. */ # undef LDBL_MAX_EXP # define LDBL_MAX_EXP 16384 /* Minimum positive normalized number. */ # undef LDBL_MIN # define LDBL_MIN 3.3621031431120935063E-4932L /* Maximum representable finite number. */ # undef LDBL_MAX # define LDBL_MAX 1.1897314953572317650E+4932L /* Minimum e such that 10^e is in the range of normalized numbers. */ # undef LDBL_MIN_10_EXP # define LDBL_MIN_10_EXP (-4931) /* Maximum e such that 10^e is in the range of representable finite numbers. */ # undef LDBL_MAX_10_EXP # define LDBL_MAX_10_EXP 4932 #endif /* On FreeBSD/x86 6.4, the 'long double' type really has only 53 bits of precision in the compiler but 64 bits of precision at runtime. See . */ #if defined __i386__ && (defined __FreeBSD__ || defined __DragonFly__) /* Number of mantissa units, in base FLT_RADIX. */ # undef LDBL_MANT_DIG # define LDBL_MANT_DIG 64 /* Number of decimal digits that is sufficient for representing a number. */ # undef LDBL_DIG # define LDBL_DIG 18 /* x-1 where x is the smallest representable number > 1. */ # undef LDBL_EPSILON # define LDBL_EPSILON 1.084202172485504434007452800869941711426e-19L /* 2^-63 */ /* Minimum e such that FLT_RADIX^(e-1) is a normalized number. */ # undef LDBL_MIN_EXP # define LDBL_MIN_EXP (-16381) /* Maximum e such that FLT_RADIX^(e-1) is a representable finite number. */ # undef LDBL_MAX_EXP # define LDBL_MAX_EXP 16384 /* Minimum positive normalized number. */ # undef LDBL_MIN # define LDBL_MIN 3.362103143112093506262677817321752E-4932L /* = 0x1p-16382L */ /* Maximum representable finite number. */ # undef LDBL_MAX /* LDBL_MAX is represented as { 0xFFFFFFFF, 0xFFFFFFFF, 32766 }. But the largest literal that GCC allows us to write is 0x0.fffffffffffff8p16384L = { 0xFFFFF800, 0xFFFFFFFF, 32766 }. So, define it like this through a reference to an external variable const unsigned int LDBL_MAX[3] = { 0xFFFFFFFF, 0xFFFFFFFF, 32766 }; extern const long double LDBL_MAX; Unfortunately, this is not a constant expression. */ # if !GNULIB_defined_long_double_union union gl_long_double_union { struct { unsigned int lo; unsigned int hi; unsigned int exponent; } xd; long double ld; }; # define GNULIB_defined_long_double_union 1 # endif extern const union gl_long_double_union gl_LDBL_MAX; # define LDBL_MAX (gl_LDBL_MAX.ld) /* Minimum e such that 10^e is in the range of normalized numbers. */ # undef LDBL_MIN_10_EXP # define LDBL_MIN_10_EXP (-4931) /* Maximum e such that 10^e is in the range of representable finite numbers. */ # undef LDBL_MAX_10_EXP # define LDBL_MAX_10_EXP 4932 #endif /* On PowerPC with gcc 15 when using __ibm128 long double, the value of LDBL_MIN_EXP, LDBL_MIN, LDBL_MAX, and LDBL_NORM_MAX are wrong. */ #if (defined _ARCH_PPC && LDBL_MANT_DIG == 106 \ && defined __GNUC__) # undef LDBL_MIN_EXP # define LDBL_MIN_EXP DBL_MIN_EXP # undef LDBL_MIN_10_EXP # define LDBL_MIN_10_EXP DBL_MIN_10_EXP # undef LDBL_MIN # define LDBL_MIN 2.22507385850720138309023271733240406422e-308L /* DBL_MIN = 2^-1022 */ # undef LDBL_MAX /* LDBL_MAX is 2**1024 - 2**918, represented as: { 0x7FEFFFFF, 0xFFFFFFFF, 0x7C9FFFFF, 0xFFFFFFFF }. Do not write it as a constant expression, as GCC would likely treat that as infinity due to the vagaries of this platform's funky arithmetic. Instead, define it through a reference to an external variable. Like the following, but using a union to avoid type mismatches: const double LDBL_MAX[2] = { DBL_MAX, DBL_MAX / 0x1p53 }; extern const long double LDBL_MAX; The following alternative would not work as well when GCC is optimizing: #define LDBL_MAX (*(long double const *) (double[]) { DBL_MAX, DBL_MAX / 0x1p53 }) The following alternative would require GCC 6 or later: #define LDBL_MAX __builtin_pack_longdouble (DBL_MAX, DBL_MAX / 0x1p53) Unfortunately none of the alternatives are constant expressions. */ # if !GNULIB_defined_long_double_union union gl_long_double_union { struct { double hi; double lo; } dd; long double ld; }; # define GNULIB_defined_long_double_union 1 # endif extern const union gl_long_double_union gl_LDBL_MAX; # define LDBL_MAX (gl_LDBL_MAX.ld) # undef LDBL_NORM_MAX # define LDBL_NORM_MAX LDBL_MAX #endif /* On IRIX 6.5, with cc, the value of LDBL_MANT_DIG is wrong. On IRIX 6.5, with gcc 4.2, the values of LDBL_MIN_EXP, LDBL_MIN, LDBL_EPSILON are wrong. */ #if defined __sgi && (LDBL_MANT_DIG >= 106) # undef LDBL_MANT_DIG # define LDBL_MANT_DIG 106 # if defined __GNUC__ # undef LDBL_MIN_EXP # define LDBL_MIN_EXP DBL_MIN_EXP # undef LDBL_MIN_10_EXP # define LDBL_MIN_10_EXP DBL_MIN_10_EXP # undef LDBL_MIN # define LDBL_MIN 2.22507385850720138309023271733240406422e-308L /* DBL_MIN = 2^-1022 */ # undef LDBL_EPSILON # define LDBL_EPSILON 2.46519032881566189191165176650870696773e-32L /* 2^-105 */ # endif #endif /* On PowerPC platforms, 'long double' has a double-double representation. Up to ISO C 17, this was outside the scope of ISO C because it can represent numbers with mantissas of the form 1.<52 bits><52 bits>, such as 1.0L + 4.94065645841246544176568792868221e-324L = 1 + 2^-1074; see ISO C 17 § 5.2.4.2.2.(3). In ISO C 23, wording has been included that makes this 'long double' representation compliant; see ISO C 23 § 5.2.5.3.3.(8)-(9). In this setting, numbers with mantissas of the form 1.<52 bits><52 bits> are called "unnormalized". And since LDBL_EPSILON must be normalized (per ISO C 23 § 5.2.5.3.3.(33)), it must be 2^-105. */ #if defined __powerpc__ && LDBL_MANT_DIG == 106 # undef LDBL_EPSILON # define LDBL_EPSILON 2.46519032881566189191165176650870696773e-32L /* 2^-105 */ #endif /* ============================ ISO C11 support ============================ */ /* 'float' properties */ #ifndef FLT_HAS_SUBNORM # define FLT_HAS_SUBNORM 1 #endif #ifndef FLT_DECIMAL_DIG /* FLT_MANT_DIG = 24 => FLT_DECIMAL_DIG = 9 */ # define FLT_DECIMAL_DIG ((int)(FLT_MANT_DIG * 0.3010299956639812 + 2)) #endif #if defined _AIX && !defined __GNUC__ /* On AIX, the value of FLT_TRUE_MIN in /usr/include/float.h is a 'double', not a 'float'. */ # undef FLT_TRUE_MIN #endif #ifndef FLT_TRUE_MIN /* FLT_MIN / 2^(FLT_MANT_DIG-1) */ # define FLT_TRUE_MIN (FLT_MIN / 8388608.0f) #endif /* 'double' properties */ #ifndef DBL_HAS_SUBNORM # define DBL_HAS_SUBNORM 1 #endif #ifndef DBL_DECIMAL_DIG /* DBL_MANT_DIG = 53 => DBL_DECIMAL_DIG = 17 */ # define DBL_DECIMAL_DIG ((int)(DBL_MANT_DIG * 0.3010299956639812 + 2)) #endif #ifndef DBL_TRUE_MIN /* DBL_MIN / 2^(DBL_MANT_DIG-1) */ # define DBL_TRUE_MIN (DBL_MIN / 4503599627370496.0) #endif /* 'long double' properties */ #ifndef LDBL_HAS_SUBNORM # define LDBL_HAS_SUBNORM 1 #endif #ifndef LDBL_DECIMAL_DIG /* LDBL_MANT_DIG = 53 => LDBL_DECIMAL_DIG = 17 */ /* LDBL_MANT_DIG = 64 => LDBL_DECIMAL_DIG = 21 */ /* LDBL_MANT_DIG = 106 => LDBL_DECIMAL_DIG = 33 */ /* LDBL_MANT_DIG = 113 => LDBL_DECIMAL_DIG = 36 */ # define LDBL_DECIMAL_DIG ((int)(LDBL_MANT_DIG * 0.3010299956639812 + 2)) #endif #ifndef LDBL_TRUE_MIN /* LDBL_MIN / 2^(LDBL_MANT_DIG-1) */ # if LDBL_MANT_DIG == 53 # define LDBL_TRUE_MIN (LDBL_MIN / 4503599627370496.0L) # elif LDBL_MANT_DIG == 64 # if defined __i386__ && (defined __FreeBSD__ || defined __DragonFly__) /* Work around FreeBSD/x86 problem mentioned above. */ extern const union gl_long_double_union gl_LDBL_TRUE_MIN; # define LDBL_TRUE_MIN (gl_LDBL_TRUE_MIN.ld) # else # define LDBL_TRUE_MIN (LDBL_MIN / 9223372036854775808.0L) # endif # elif LDBL_MANT_DIG == 106 # define LDBL_TRUE_MIN (LDBL_MIN / 40564819207303340847894502572032.0L) # elif LDBL_MANT_DIG == 113 # define LDBL_TRUE_MIN (LDBL_MIN / 5192296858534827628530496329220096.0L) # endif #endif /* ============================ ISO C23 support ============================ */ /* 'float' properties */ #ifndef FLT_IS_IEC_60559 # if defined __m68k__ # define FLT_IS_IEC_60559 0 # else # define FLT_IS_IEC_60559 1 # endif #endif #ifndef FLT_NORM_MAX # define FLT_NORM_MAX FLT_MAX #endif #ifndef FLT_SNAN /* For sh, beware of . */ # if ((__GNUC__ + (__GNUC_MINOR__ >= 3) > 3) || defined __clang__) && !defined __sh__ # define FLT_SNAN __builtin_nansf ("") # else typedef union { unsigned int word[1]; float value; } gl_FLT_SNAN_t; extern gl_FLT_SNAN_t gl_FLT_SNAN; # define FLT_SNAN (gl_FLT_SNAN.value) # define GNULIB_defined_FLT_SNAN 1 # endif #endif /* 'double' properties */ #ifndef DBL_IS_IEC_60559 # if defined __m68k__ # define DBL_IS_IEC_60559 0 # else # define DBL_IS_IEC_60559 1 # endif #endif #ifndef DBL_NORM_MAX # define DBL_NORM_MAX DBL_MAX #endif #ifndef DBL_SNAN /* For sh, beware of . */ # if ((__GNUC__ + (__GNUC_MINOR__ >= 3) > 3) || defined __clang__) && !defined __sh__ # define DBL_SNAN __builtin_nans ("") # else typedef union { unsigned long long word[1]; double value; } gl_DBL_SNAN_t; extern gl_DBL_SNAN_t gl_DBL_SNAN; # define DBL_SNAN (gl_DBL_SNAN.value) # define GNULIB_defined_DBL_SNAN 1 # endif #endif /* 'long double' properties */ #ifndef LDBL_IS_IEC_60559 # if defined __m68k__ # define LDBL_IS_IEC_60559 0 # elif LDBL_MANT_DIG == 53 || LDBL_MANT_DIG == 113 # define LDBL_IS_IEC_60559 1 # else # define LDBL_IS_IEC_60559 0 # endif #endif #ifndef LDBL_NORM_MAX # ifdef __LDBL_NORM_MAX__ # define LDBL_NORM_MAX __LDBL_NORM_MAX__ # else # define LDBL_NORM_MAX LDBL_MAX # endif #endif #ifndef LDBL_SNAN /* For sh, beware of . */ # if ((__GNUC__ + (__GNUC_MINOR__ >= 3) > 3) || defined __clang__) && !defined __sh__ # define LDBL_SNAN __builtin_nansl ("") # else # if LDBL_MANT_DIG == 53 typedef union { unsigned long long word[1]; long double value; } gl_LDBL_SNAN_t; # elif defined __m68k__ typedef union { unsigned int word[3]; long double value; } gl_LDBL_SNAN_t; # else typedef union { unsigned long long word[2]; long double value; } gl_LDBL_SNAN_t; # endif extern gl_LDBL_SNAN_t gl_LDBL_SNAN; # define LDBL_SNAN (gl_LDBL_SNAN.value) # define GNULIB_defined_LDBL_SNAN 1 # endif #endif /* ================================= Other ================================= */ #if @REPLACE_ITOLD@ /* Pull in a function that fixes the 'int' to 'long double' conversion of glibc 2.7. */ extern # ifdef __cplusplus "C" # endif void _Qp_itoq (long double *, int); static void (*_gl_float_fix_itold) (long double *, int) = _Qp_itoq; #endif #endif /* _@GUARD_PREFIX@_FLOAT_H */ #endif /* _@GUARD_PREFIX@_FLOAT_H */