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/* A correct <float.h>.
Copyright (C) 2007-2016 Free Software Foundation, Inc.
This program is free software: you can redistribute it and/or
modify it under the terms of either:
* the GNU Lesser General Public License as published by the Free
Software Foundation; either version 3 of the License, or (at your
option) any later version.
or
* the GNU General Public License as published by the Free
Software Foundation; either version 2 of the License, or (at your
option) any later version.
or both in parallel, as here.
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 General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>. */
#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
<http://lists.gnu.org/archive/html/bug-gnulib/2008-07/msg00063.html>. */
#if defined __i386__ && defined __FreeBSD__
/* 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 3.3621031431120935E-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. */
union gl_long_double_union
{
struct { unsigned int lo; unsigned int hi; unsigned int exponent; } xd;
long double ld;
};
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.. */
union gl_long_double_union
{
struct { double hi; double lo; } dd;
long double ld;
};
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 */
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