148 lines
5.5 KiB
C
148 lines
5.5 KiB
C
|
/* Supplemental information about the floating-point formats.
|
||
|
Copyright (C) 2007, 2009-2018 Free Software Foundation, Inc.
|
||
|
Written by Bruno Haible <bruno@clisp.org>, 2007.
|
||
|
|
||
|
This program is free software; you can redistribute it and/or modify
|
||
|
it under the terms of the GNU General Public License as published by
|
||
|
the Free Software Foundation; either version 3, 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 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 <https://www.gnu.org/licenses/>. */
|
||
|
|
||
|
#ifndef _FLOATPLUS_H
|
||
|
#define _FLOATPLUS_H
|
||
|
|
||
|
#include <float.h>
|
||
|
#include <limits.h>
|
||
|
|
||
|
/* Number of bits in the mantissa of a floating-point number, including the
|
||
|
"hidden bit". */
|
||
|
#if FLT_RADIX == 2
|
||
|
# define FLT_MANT_BIT FLT_MANT_DIG
|
||
|
# define DBL_MANT_BIT DBL_MANT_DIG
|
||
|
# define LDBL_MANT_BIT LDBL_MANT_DIG
|
||
|
#elif FLT_RADIX == 4
|
||
|
# define FLT_MANT_BIT (FLT_MANT_DIG * 2)
|
||
|
# define DBL_MANT_BIT (DBL_MANT_DIG * 2)
|
||
|
# define LDBL_MANT_BIT (LDBL_MANT_DIG * 2)
|
||
|
#elif FLT_RADIX == 16
|
||
|
# define FLT_MANT_BIT (FLT_MANT_DIG * 4)
|
||
|
# define DBL_MANT_BIT (DBL_MANT_DIG * 4)
|
||
|
# define LDBL_MANT_BIT (LDBL_MANT_DIG * 4)
|
||
|
#endif
|
||
|
|
||
|
/* Bit mask that can be used to mask the exponent, as an unsigned number. */
|
||
|
#define FLT_EXP_MASK ((FLT_MAX_EXP - FLT_MIN_EXP) | 7)
|
||
|
#define DBL_EXP_MASK ((DBL_MAX_EXP - DBL_MIN_EXP) | 7)
|
||
|
#define LDBL_EXP_MASK ((LDBL_MAX_EXP - LDBL_MIN_EXP) | 7)
|
||
|
|
||
|
/* Number of bits used for the exponent of a floating-point number, including
|
||
|
the exponent's sign. */
|
||
|
#define FLT_EXP_BIT \
|
||
|
(FLT_EXP_MASK < 0x100 ? 8 : \
|
||
|
FLT_EXP_MASK < 0x200 ? 9 : \
|
||
|
FLT_EXP_MASK < 0x400 ? 10 : \
|
||
|
FLT_EXP_MASK < 0x800 ? 11 : \
|
||
|
FLT_EXP_MASK < 0x1000 ? 12 : \
|
||
|
FLT_EXP_MASK < 0x2000 ? 13 : \
|
||
|
FLT_EXP_MASK < 0x4000 ? 14 : \
|
||
|
FLT_EXP_MASK < 0x8000 ? 15 : \
|
||
|
FLT_EXP_MASK < 0x10000 ? 16 : \
|
||
|
FLT_EXP_MASK < 0x20000 ? 17 : \
|
||
|
FLT_EXP_MASK < 0x40000 ? 18 : \
|
||
|
FLT_EXP_MASK < 0x80000 ? 19 : \
|
||
|
FLT_EXP_MASK < 0x100000 ? 20 : \
|
||
|
FLT_EXP_MASK < 0x200000 ? 21 : \
|
||
|
FLT_EXP_MASK < 0x400000 ? 22 : \
|
||
|
FLT_EXP_MASK < 0x800000 ? 23 : \
|
||
|
FLT_EXP_MASK < 0x1000000 ? 24 : \
|
||
|
FLT_EXP_MASK < 0x2000000 ? 25 : \
|
||
|
FLT_EXP_MASK < 0x4000000 ? 26 : \
|
||
|
FLT_EXP_MASK < 0x8000000 ? 27 : \
|
||
|
FLT_EXP_MASK < 0x10000000 ? 28 : \
|
||
|
FLT_EXP_MASK < 0x20000000 ? 29 : \
|
||
|
FLT_EXP_MASK < 0x40000000 ? 30 : \
|
||
|
FLT_EXP_MASK <= 0x7fffffff ? 31 : \
|
||
|
32)
|
||
|
#define DBL_EXP_BIT \
|
||
|
(DBL_EXP_MASK < 0x100 ? 8 : \
|
||
|
DBL_EXP_MASK < 0x200 ? 9 : \
|
||
|
DBL_EXP_MASK < 0x400 ? 10 : \
|
||
|
DBL_EXP_MASK < 0x800 ? 11 : \
|
||
|
DBL_EXP_MASK < 0x1000 ? 12 : \
|
||
|
DBL_EXP_MASK < 0x2000 ? 13 : \
|
||
|
DBL_EXP_MASK < 0x4000 ? 14 : \
|
||
|
DBL_EXP_MASK < 0x8000 ? 15 : \
|
||
|
DBL_EXP_MASK < 0x10000 ? 16 : \
|
||
|
DBL_EXP_MASK < 0x20000 ? 17 : \
|
||
|
DBL_EXP_MASK < 0x40000 ? 18 : \
|
||
|
DBL_EXP_MASK < 0x80000 ? 19 : \
|
||
|
DBL_EXP_MASK < 0x100000 ? 20 : \
|
||
|
DBL_EXP_MASK < 0x200000 ? 21 : \
|
||
|
DBL_EXP_MASK < 0x400000 ? 22 : \
|
||
|
DBL_EXP_MASK < 0x800000 ? 23 : \
|
||
|
DBL_EXP_MASK < 0x1000000 ? 24 : \
|
||
|
DBL_EXP_MASK < 0x2000000 ? 25 : \
|
||
|
DBL_EXP_MASK < 0x4000000 ? 26 : \
|
||
|
DBL_EXP_MASK < 0x8000000 ? 27 : \
|
||
|
DBL_EXP_MASK < 0x10000000 ? 28 : \
|
||
|
DBL_EXP_MASK < 0x20000000 ? 29 : \
|
||
|
DBL_EXP_MASK < 0x40000000 ? 30 : \
|
||
|
DBL_EXP_MASK <= 0x7fffffff ? 31 : \
|
||
|
32)
|
||
|
#define LDBL_EXP_BIT \
|
||
|
(LDBL_EXP_MASK < 0x100 ? 8 : \
|
||
|
LDBL_EXP_MASK < 0x200 ? 9 : \
|
||
|
LDBL_EXP_MASK < 0x400 ? 10 : \
|
||
|
LDBL_EXP_MASK < 0x800 ? 11 : \
|
||
|
LDBL_EXP_MASK < 0x1000 ? 12 : \
|
||
|
LDBL_EXP_MASK < 0x2000 ? 13 : \
|
||
|
LDBL_EXP_MASK < 0x4000 ? 14 : \
|
||
|
LDBL_EXP_MASK < 0x8000 ? 15 : \
|
||
|
LDBL_EXP_MASK < 0x10000 ? 16 : \
|
||
|
LDBL_EXP_MASK < 0x20000 ? 17 : \
|
||
|
LDBL_EXP_MASK < 0x40000 ? 18 : \
|
||
|
LDBL_EXP_MASK < 0x80000 ? 19 : \
|
||
|
LDBL_EXP_MASK < 0x100000 ? 20 : \
|
||
|
LDBL_EXP_MASK < 0x200000 ? 21 : \
|
||
|
LDBL_EXP_MASK < 0x400000 ? 22 : \
|
||
|
LDBL_EXP_MASK < 0x800000 ? 23 : \
|
||
|
LDBL_EXP_MASK < 0x1000000 ? 24 : \
|
||
|
LDBL_EXP_MASK < 0x2000000 ? 25 : \
|
||
|
LDBL_EXP_MASK < 0x4000000 ? 26 : \
|
||
|
LDBL_EXP_MASK < 0x8000000 ? 27 : \
|
||
|
LDBL_EXP_MASK < 0x10000000 ? 28 : \
|
||
|
LDBL_EXP_MASK < 0x20000000 ? 29 : \
|
||
|
LDBL_EXP_MASK < 0x40000000 ? 30 : \
|
||
|
LDBL_EXP_MASK <= 0x7fffffff ? 31 : \
|
||
|
32)
|
||
|
|
||
|
/* Number of bits used for a floating-point number: the mantissa (not
|
||
|
counting the "hidden bit", since it may or may not be explicit), the
|
||
|
exponent, and the sign. */
|
||
|
#define FLT_TOTAL_BIT ((FLT_MANT_BIT - 1) + FLT_EXP_BIT + 1)
|
||
|
#define DBL_TOTAL_BIT ((DBL_MANT_BIT - 1) + DBL_EXP_BIT + 1)
|
||
|
#define LDBL_TOTAL_BIT ((LDBL_MANT_BIT - 1) + LDBL_EXP_BIT + 1)
|
||
|
|
||
|
/* Number of bytes used for a floating-point number.
|
||
|
This can be smaller than the 'sizeof'. For example, on i386 systems,
|
||
|
'long double' most often have LDBL_MANT_BIT = 64, LDBL_EXP_BIT = 16, hence
|
||
|
LDBL_TOTAL_BIT = 80 bits, i.e. 10 bytes of consecutive memory, but
|
||
|
sizeof (long double) = 12 or = 16. */
|
||
|
#define SIZEOF_FLT ((FLT_TOTAL_BIT + CHAR_BIT - 1) / CHAR_BIT)
|
||
|
#define SIZEOF_DBL ((DBL_TOTAL_BIT + CHAR_BIT - 1) / CHAR_BIT)
|
||
|
#define SIZEOF_LDBL ((LDBL_TOTAL_BIT + CHAR_BIT - 1) / CHAR_BIT)
|
||
|
|
||
|
/* Verify that SIZEOF_FLT <= sizeof (float) etc. */
|
||
|
typedef int verify_sizeof_flt[SIZEOF_FLT <= sizeof (float) ? 1 : -1];
|
||
|
typedef int verify_sizeof_dbl[SIZEOF_DBL <= sizeof (double) ? 1 : - 1];
|
||
|
typedef int verify_sizeof_ldbl[SIZEOF_LDBL <= sizeof (long double) ? 1 : - 1];
|
||
|
|
||
|
#endif /* _FLOATPLUS_H */
|