/* Supplemental information about the floating-point formats. Copyright (C) 2007, 2009-2012 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 <http://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 */