| 1 | /* A correct <float.h>. |
| 2 | |
| 3 | Copyright (C) 2007-2014 Free Software Foundation, Inc. |
| 4 | |
| 5 | This program is free software: you can redistribute it and/or modify |
| 6 | it under the terms of the GNU Lesser General Public License as published by |
| 7 | the Free Software Foundation; either version 3 of the License, or |
| 8 | (at your option) any later version. |
| 9 | |
| 10 | This program is distributed in the hope that it will be useful, |
| 11 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 12 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| 13 | GNU Lesser General Public License for more details. |
| 14 | |
| 15 | You should have received a copy of the GNU Lesser General Public License |
| 16 | along with this program. If not, see <http://www.gnu.org/licenses/>. */ |
| 17 | |
| 18 | #ifndef _@GUARD_PREFIX@_FLOAT_H |
| 19 | |
| 20 | #if __GNUC__ >= 3 |
| 21 | @PRAGMA_SYSTEM_HEADER@ |
| 22 | #endif |
| 23 | @PRAGMA_COLUMNS@ |
| 24 | |
| 25 | /* The include_next requires a split double-inclusion guard. */ |
| 26 | #@INCLUDE_NEXT@ @NEXT_FLOAT_H@ |
| 27 | |
| 28 | #ifndef _@GUARD_PREFIX@_FLOAT_H |
| 29 | #define _@GUARD_PREFIX@_FLOAT_H |
| 30 | |
| 31 | /* 'long double' properties. */ |
| 32 | |
| 33 | #if defined __i386__ && (defined __BEOS__ || defined __OpenBSD__) |
| 34 | /* Number of mantissa units, in base FLT_RADIX. */ |
| 35 | # undef LDBL_MANT_DIG |
| 36 | # define LDBL_MANT_DIG 64 |
| 37 | /* Number of decimal digits that is sufficient for representing a number. */ |
| 38 | # undef LDBL_DIG |
| 39 | # define LDBL_DIG 18 |
| 40 | /* x-1 where x is the smallest representable number > 1. */ |
| 41 | # undef LDBL_EPSILON |
| 42 | # define LDBL_EPSILON 1.0842021724855044340E-19L |
| 43 | /* Minimum e such that FLT_RADIX^(e-1) is a normalized number. */ |
| 44 | # undef LDBL_MIN_EXP |
| 45 | # define LDBL_MIN_EXP (-16381) |
| 46 | /* Maximum e such that FLT_RADIX^(e-1) is a representable finite number. */ |
| 47 | # undef LDBL_MAX_EXP |
| 48 | # define LDBL_MAX_EXP 16384 |
| 49 | /* Minimum positive normalized number. */ |
| 50 | # undef LDBL_MIN |
| 51 | # define LDBL_MIN 3.3621031431120935063E-4932L |
| 52 | /* Maximum representable finite number. */ |
| 53 | # undef LDBL_MAX |
| 54 | # define LDBL_MAX 1.1897314953572317650E+4932L |
| 55 | /* Minimum e such that 10^e is in the range of normalized numbers. */ |
| 56 | # undef LDBL_MIN_10_EXP |
| 57 | # define LDBL_MIN_10_EXP (-4931) |
| 58 | /* Maximum e such that 10^e is in the range of representable finite numbers. */ |
| 59 | # undef LDBL_MAX_10_EXP |
| 60 | # define LDBL_MAX_10_EXP 4932 |
| 61 | #endif |
| 62 | |
| 63 | /* On FreeBSD/x86 6.4, the 'long double' type really has only 53 bits of |
| 64 | precision in the compiler but 64 bits of precision at runtime. See |
| 65 | <http://lists.gnu.org/archive/html/bug-gnulib/2008-07/msg00063.html>. */ |
| 66 | #if defined __i386__ && defined __FreeBSD__ |
| 67 | /* Number of mantissa units, in base FLT_RADIX. */ |
| 68 | # undef LDBL_MANT_DIG |
| 69 | # define LDBL_MANT_DIG 64 |
| 70 | /* Number of decimal digits that is sufficient for representing a number. */ |
| 71 | # undef LDBL_DIG |
| 72 | # define LDBL_DIG 18 |
| 73 | /* x-1 where x is the smallest representable number > 1. */ |
| 74 | # undef LDBL_EPSILON |
| 75 | # define LDBL_EPSILON 1.084202172485504434007452800869941711426e-19L /* 2^-63 */ |
| 76 | /* Minimum e such that FLT_RADIX^(e-1) is a normalized number. */ |
| 77 | # undef LDBL_MIN_EXP |
| 78 | # define LDBL_MIN_EXP (-16381) |
| 79 | /* Maximum e such that FLT_RADIX^(e-1) is a representable finite number. */ |
| 80 | # undef LDBL_MAX_EXP |
| 81 | # define LDBL_MAX_EXP 16384 |
| 82 | /* Minimum positive normalized number. */ |
| 83 | # undef LDBL_MIN |
| 84 | # define LDBL_MIN 3.3621031431120935E-4932L /* = 0x1p-16382L */ |
| 85 | /* Maximum representable finite number. */ |
| 86 | # undef LDBL_MAX |
| 87 | /* LDBL_MAX is represented as { 0xFFFFFFFF, 0xFFFFFFFF, 32766 }. |
| 88 | But the largest literal that GCC allows us to write is |
| 89 | 0x0.fffffffffffff8p16384L = { 0xFFFFF800, 0xFFFFFFFF, 32766 }. |
| 90 | So, define it like this through a reference to an external variable |
| 91 | |
| 92 | const unsigned int LDBL_MAX[3] = { 0xFFFFFFFF, 0xFFFFFFFF, 32766 }; |
| 93 | extern const long double LDBL_MAX; |
| 94 | |
| 95 | Unfortunately, this is not a constant expression. */ |
| 96 | union gl_long_double_union |
| 97 | { |
| 98 | struct { unsigned int lo; unsigned int hi; unsigned int exponent; } xd; |
| 99 | long double ld; |
| 100 | }; |
| 101 | extern const union gl_long_double_union gl_LDBL_MAX; |
| 102 | # define LDBL_MAX (gl_LDBL_MAX.ld) |
| 103 | /* Minimum e such that 10^e is in the range of normalized numbers. */ |
| 104 | # undef LDBL_MIN_10_EXP |
| 105 | # define LDBL_MIN_10_EXP (-4931) |
| 106 | /* Maximum e such that 10^e is in the range of representable finite numbers. */ |
| 107 | # undef LDBL_MAX_10_EXP |
| 108 | # define LDBL_MAX_10_EXP 4932 |
| 109 | #endif |
| 110 | |
| 111 | /* On AIX 7.1 with gcc 4.2, the values of LDBL_MIN_EXP, LDBL_MIN, LDBL_MAX are |
| 112 | wrong. |
| 113 | On Linux/PowerPC with gcc 4.4, the value of LDBL_MAX is wrong. */ |
| 114 | #if (defined _ARCH_PPC || defined _POWER) && defined _AIX && (LDBL_MANT_DIG == 106) && defined __GNUC__ |
| 115 | # undef LDBL_MIN_EXP |
| 116 | # define LDBL_MIN_EXP DBL_MIN_EXP |
| 117 | # undef LDBL_MIN_10_EXP |
| 118 | # define LDBL_MIN_10_EXP DBL_MIN_10_EXP |
| 119 | # undef LDBL_MIN |
| 120 | # define LDBL_MIN 2.22507385850720138309023271733240406422e-308L /* DBL_MIN = 2^-1022 */ |
| 121 | #endif |
| 122 | #if (defined _ARCH_PPC || defined _POWER) && (defined _AIX || defined __linux__) && (LDBL_MANT_DIG == 106) && defined __GNUC__ |
| 123 | # undef LDBL_MAX |
| 124 | /* LDBL_MAX is represented as { 0x7FEFFFFF, 0xFFFFFFFF, 0x7C8FFFFF, 0xFFFFFFFF }. |
| 125 | It is not easy to define: |
| 126 | #define LDBL_MAX 1.79769313486231580793728971405302307166e308L |
| 127 | is too small, whereas |
| 128 | #define LDBL_MAX 1.79769313486231580793728971405302307167e308L |
| 129 | is too large. Apparently a bug in GCC decimal-to-binary conversion. |
| 130 | Also, I can't get values larger than |
| 131 | #define LDBL63 ((long double) (1ULL << 63)) |
| 132 | #define LDBL882 (LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63) |
| 133 | #define LDBL945 (LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63) |
| 134 | #define LDBL1008 (LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63) |
| 135 | #define LDBL_MAX (LDBL1008 * 65535.0L + LDBL945 * (long double) 9223372036821221375ULL + LDBL882 * (long double) 4611686018427387904ULL) |
| 136 | which is represented as { 0x7FEFFFFF, 0xFFFFFFFF, 0x7C8FFFFF, 0xF8000000 }. |
| 137 | So, define it like this through a reference to an external variable |
| 138 | |
| 139 | const double LDBL_MAX[2] = { DBL_MAX, DBL_MAX / (double)134217728UL / (double)134217728UL }; |
| 140 | extern const long double LDBL_MAX; |
| 141 | |
| 142 | or through a pointer cast |
| 143 | |
| 144 | #define LDBL_MAX \ |
| 145 | (*(const long double *) (double[]) { DBL_MAX, DBL_MAX / (double)134217728UL / (double)134217728UL }) |
| 146 | |
| 147 | Unfortunately, this is not a constant expression, and the latter expression |
| 148 | does not work well when GCC is optimizing.. */ |
| 149 | union gl_long_double_union |
| 150 | { |
| 151 | struct { double hi; double lo; } dd; |
| 152 | long double ld; |
| 153 | }; |
| 154 | extern const union gl_long_double_union gl_LDBL_MAX; |
| 155 | # define LDBL_MAX (gl_LDBL_MAX.ld) |
| 156 | #endif |
| 157 | |
| 158 | /* On IRIX 6.5, with cc, the value of LDBL_MANT_DIG is wrong. |
| 159 | On IRIX 6.5, with gcc 4.2, the values of LDBL_MIN_EXP, LDBL_MIN, LDBL_EPSILON |
| 160 | are wrong. */ |
| 161 | #if defined __sgi && (LDBL_MANT_DIG >= 106) |
| 162 | # undef LDBL_MANT_DIG |
| 163 | # define LDBL_MANT_DIG 106 |
| 164 | # if defined __GNUC__ |
| 165 | # undef LDBL_MIN_EXP |
| 166 | # define LDBL_MIN_EXP DBL_MIN_EXP |
| 167 | # undef LDBL_MIN_10_EXP |
| 168 | # define LDBL_MIN_10_EXP DBL_MIN_10_EXP |
| 169 | # undef LDBL_MIN |
| 170 | # define LDBL_MIN 2.22507385850720138309023271733240406422e-308L /* DBL_MIN = 2^-1022 */ |
| 171 | # undef LDBL_EPSILON |
| 172 | # define LDBL_EPSILON 2.46519032881566189191165176650870696773e-32L /* 2^-105 */ |
| 173 | # endif |
| 174 | #endif |
| 175 | |
| 176 | #if @REPLACE_ITOLD@ |
| 177 | /* Pull in a function that fixes the 'int' to 'long double' conversion |
| 178 | of glibc 2.7. */ |
| 179 | extern |
| 180 | # ifdef __cplusplus |
| 181 | "C" |
| 182 | # endif |
| 183 | void _Qp_itoq (long double *, int); |
| 184 | static void (*_gl_float_fix_itold) (long double *, int) = _Qp_itoq; |
| 185 | #endif |
| 186 | |
| 187 | #endif /* _@GUARD_PREFIX@_FLOAT_H */ |
| 188 | #endif /* _@GUARD_PREFIX@_FLOAT_H */ |