/* A correct . Copyright (C) 2007-2021 Free Software Foundation, Inc. This program 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 program 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 /* '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 AIX 7.1 with gcc 4.2, the values of LDBL_MIN_EXP, LDBL_MIN, LDBL_MAX are wrong. On Linux/PowerPC with gcc 4.4, the value of LDBL_MAX is wrong. */ #if (defined _ARCH_PPC || defined _POWER) && defined _AIX && (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 */ #endif #if (defined _ARCH_PPC || defined _POWER) && (defined _AIX || defined __linux__) && (LDBL_MANT_DIG == 106) && defined __GNUC__ # undef LDBL_MAX /* LDBL_MAX is represented as { 0x7FEFFFFF, 0xFFFFFFFF, 0x7C8FFFFF, 0xFFFFFFFF }. It is not easy to define: #define LDBL_MAX 1.79769313486231580793728971405302307166e308L is too small, whereas #define LDBL_MAX 1.79769313486231580793728971405302307167e308L is too large. Apparently a bug in GCC decimal-to-binary conversion. Also, I can't get values larger than #define LDBL63 ((long double) (1ULL << 63)) #define LDBL882 (LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63) #define LDBL945 (LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63) #define LDBL1008 (LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63) #define LDBL_MAX (LDBL1008 * 65535.0L + LDBL945 * (long double) 9223372036821221375ULL + LDBL882 * (long double) 4611686018427387904ULL) which is represented as { 0x7FEFFFFF, 0xFFFFFFFF, 0x7C8FFFFF, 0xF8000000 }. So, define it like this through a reference to an external variable const double LDBL_MAX[2] = { DBL_MAX, DBL_MAX / (double)134217728UL / (double)134217728UL }; extern const long double LDBL_MAX; or through a pointer cast #define LDBL_MAX \ (*(const long double *) (double[]) { DBL_MAX, DBL_MAX / (double)134217728UL / (double)134217728UL }) Unfortunately, this is not a constant expression, and the latter expression does not work well when GCC is optimizing.. */ # 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) #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 #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 */