| 1 | /* A correct <float.h>.
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| 2 |
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| 3 | Copyright (C) 2007-2012 Free Software Foundation, Inc.
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| 4 |
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| 5 | This program is free software: you can redistribute it and/or modify
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| 6 | it under the terms of the GNU General Public License as published by
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| 7 | the Free Software Foundation; either version 3 of the License, or
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| 8 | (at your option) any later version.
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| 9 |
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| 10 | This program is distributed in the hope that it will be useful,
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| 11 | but WITHOUT ANY WARRANTY; without even the implied warranty of
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| 12 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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| 13 | GNU General Public License for more details.
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| 14 |
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| 15 | You should have received a copy of the GNU General Public License
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| 16 | along with this program. If not, see <http://www.gnu.org/licenses/>. */
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| 17 |
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| 18 | #ifndef _@GUARD_PREFIX@_FLOAT_H
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| 19 |
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| 20 | #if __GNUC__ >= 3
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| 21 | @PRAGMA_SYSTEM_HEADER@
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| 22 | #endif
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| 23 | @PRAGMA_COLUMNS@
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| 24 |
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| 25 | /* The include_next requires a split double-inclusion guard. */
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| 26 | #@INCLUDE_NEXT@ @NEXT_FLOAT_H@
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| 27 |
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| 28 | #ifndef _@GUARD_PREFIX@_FLOAT_H
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| 29 | #define _@GUARD_PREFIX@_FLOAT_H
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| 30 |
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| 31 | /* 'long double' properties. */
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| 32 |
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| 33 | #if defined __i386__ && (defined __BEOS__ || defined __OpenBSD__)
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| 34 | /* Number of mantissa units, in base FLT_RADIX. */
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| 35 | # undef LDBL_MANT_DIG
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| 36 | # define LDBL_MANT_DIG 64
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| 37 | /* Number of decimal digits that is sufficient for representing a number. */
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| 38 | # undef LDBL_DIG
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| 39 | # define LDBL_DIG 18
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| 40 | /* x-1 where x is the smallest representable number > 1. */
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| 41 | # undef LDBL_EPSILON
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| 42 | # define LDBL_EPSILON 1.0842021724855044340E-19L
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| 43 | /* Minimum e such that FLT_RADIX^(e-1) is a normalized number. */
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| 44 | # undef LDBL_MIN_EXP
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| 45 | # define LDBL_MIN_EXP (-16381)
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| 46 | /* Maximum e such that FLT_RADIX^(e-1) is a representable finite number. */
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| 47 | # undef LDBL_MAX_EXP
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| 48 | # define LDBL_MAX_EXP 16384
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| 49 | /* Minimum positive normalized number. */
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| 50 | # undef LDBL_MIN
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| 51 | # define LDBL_MIN 3.3621031431120935063E-4932L
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| 52 | /* Maximum representable finite number. */
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| 53 | # undef LDBL_MAX
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| 54 | # define LDBL_MAX 1.1897314953572317650E+4932L
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| 55 | /* Minimum e such that 10^e is in the range of normalized numbers. */
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| 56 | # undef LDBL_MIN_10_EXP
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| 57 | # define LDBL_MIN_10_EXP (-4931)
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| 58 | /* Maximum e such that 10^e is in the range of representable finite numbers. */
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| 59 | # undef LDBL_MAX_10_EXP
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| 60 | # define LDBL_MAX_10_EXP 4932
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| 61 | #endif
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| 62 |
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| 63 | /* On FreeBSD/x86 6.4, the 'long double' type really has only 53 bits of
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| 64 | precision in the compiler but 64 bits of precision at runtime. See
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| 65 | <http://lists.gnu.org/archive/html/bug-gnulib/2008-07/msg00063.html>. */
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| 66 | #if defined __i386__ && defined __FreeBSD__
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| 67 | /* Number of mantissa units, in base FLT_RADIX. */
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| 68 | # undef LDBL_MANT_DIG
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| 69 | # define LDBL_MANT_DIG 64
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| 70 | /* Number of decimal digits that is sufficient for representing a number. */
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| 71 | # undef LDBL_DIG
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| 72 | # define LDBL_DIG 18
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| 73 | /* x-1 where x is the smallest representable number > 1. */
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| 74 | # undef LDBL_EPSILON
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| 75 | # define LDBL_EPSILON 1.084202172485504434007452800869941711426e-19L /* 2^-63 */
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| 76 | /* Minimum e such that FLT_RADIX^(e-1) is a normalized number. */
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| 77 | # undef LDBL_MIN_EXP
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| 78 | # define LDBL_MIN_EXP (-16381)
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| 79 | /* Maximum e such that FLT_RADIX^(e-1) is a representable finite number. */
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| 80 | # undef LDBL_MAX_EXP
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| 81 | # define LDBL_MAX_EXP 16384
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| 82 | /* Minimum positive normalized number. */
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| 83 | # undef LDBL_MIN
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| 84 | # define LDBL_MIN 3.3621031431120935E-4932L /* = 0x1p-16382L */
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| 85 | /* Maximum representable finite number. */
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| 86 | # undef LDBL_MAX
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| 87 | /* LDBL_MAX is represented as { 0xFFFFFFFF, 0xFFFFFFFF, 32766 }.
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| 88 | But the largest literal that GCC allows us to write is
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| 89 | 0x0.fffffffffffff8p16384L = { 0xFFFFF800, 0xFFFFFFFF, 32766 }.
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| 90 | So, define it like this through a reference to an external variable
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| 91 |
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| 92 | const unsigned int LDBL_MAX[3] = { 0xFFFFFFFF, 0xFFFFFFFF, 32766 };
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| 93 | extern const long double LDBL_MAX;
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| 94 |
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| 95 | Unfortunately, this is not a constant expression. */
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| 96 | union gl_long_double_union
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| 97 | {
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| 98 | struct { unsigned int lo; unsigned int hi; unsigned int exponent; } xd;
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| 99 | long double ld;
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| 100 | };
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| 101 | extern const union gl_long_double_union gl_LDBL_MAX;
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| 102 | # define LDBL_MAX (gl_LDBL_MAX.ld)
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| 103 | /* Minimum e such that 10^e is in the range of normalized numbers. */
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| 104 | # undef LDBL_MIN_10_EXP
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| 105 | # define LDBL_MIN_10_EXP (-4931)
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| 106 | /* Maximum e such that 10^e is in the range of representable finite numbers. */
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| 107 | # undef LDBL_MAX_10_EXP
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| 108 | # define LDBL_MAX_10_EXP 4932
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| 109 | #endif
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| 110 |
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| 111 | /* On AIX 7.1 with gcc 4.2, the values of LDBL_MIN_EXP, LDBL_MIN, LDBL_MAX are
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| 112 | wrong.
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| 113 | On Linux/PowerPC with gcc 4.4, the value of LDBL_MAX is wrong. */
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| 114 | #if (defined _ARCH_PPC || defined _POWER) && defined _AIX && (LDBL_MANT_DIG == 106) && defined __GNUC__
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| 115 | # undef LDBL_MIN_EXP
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| 116 | # define LDBL_MIN_EXP DBL_MIN_EXP
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| 117 | # undef LDBL_MIN_10_EXP
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| 118 | # define LDBL_MIN_10_EXP DBL_MIN_10_EXP
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| 119 | # undef LDBL_MIN
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| 120 | # define LDBL_MIN 2.22507385850720138309023271733240406422e-308L /* DBL_MIN = 2^-1022 */
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| 121 | #endif
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| 122 | #if (defined _ARCH_PPC || defined _POWER) && (defined _AIX || defined __linux__) && (LDBL_MANT_DIG == 106) && defined __GNUC__
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| 123 | # undef LDBL_MAX
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| 124 | /* LDBL_MAX is represented as { 0x7FEFFFFF, 0xFFFFFFFF, 0x7C8FFFFF, 0xFFFFFFFF }.
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| 125 | It is not easy to define:
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| 126 | #define LDBL_MAX 1.79769313486231580793728971405302307166e308L
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| 127 | is too small, whereas
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| 128 | #define LDBL_MAX 1.79769313486231580793728971405302307167e308L
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| 129 | is too large. Apparently a bug in GCC decimal-to-binary conversion.
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| 130 | Also, I can't get values larger than
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| 131 | #define LDBL63 ((long double) (1ULL << 63))
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| 132 | #define LDBL882 (LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63)
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| 133 | #define LDBL945 (LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63)
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| 134 | #define LDBL1008 (LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63)
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| 135 | #define LDBL_MAX (LDBL1008 * 65535.0L + LDBL945 * (long double) 9223372036821221375ULL + LDBL882 * (long double) 4611686018427387904ULL)
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| 136 | which is represented as { 0x7FEFFFFF, 0xFFFFFFFF, 0x7C8FFFFF, 0xF8000000 }.
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| 137 | So, define it like this through a reference to an external variable
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| 138 |
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| 139 | const double LDBL_MAX[2] = { DBL_MAX, DBL_MAX / (double)134217728UL / (double)134217728UL };
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| 140 | extern const long double LDBL_MAX;
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| 141 |
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| 142 | or through a pointer cast
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| 143 |
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| 144 | #define LDBL_MAX \
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| 145 | (*(const long double *) (double[]) { DBL_MAX, DBL_MAX / (double)134217728UL / (double)134217728UL })
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| 146 |
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| 147 | Unfortunately, this is not a constant expression, and the latter expression
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| 148 | does not work well when GCC is optimizing.. */
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| 149 | union gl_long_double_union
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| 150 | {
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| 151 | struct { double hi; double lo; } dd;
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| 152 | long double ld;
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| 153 | };
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| 154 | extern const union gl_long_double_union gl_LDBL_MAX;
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| 155 | # define LDBL_MAX (gl_LDBL_MAX.ld)
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| 156 | #endif
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| 157 |
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| 158 | /* On IRIX 6.5, with cc, the value of LDBL_MANT_DIG is wrong.
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| 159 | On IRIX 6.5, with gcc 4.2, the values of LDBL_MIN_EXP, LDBL_MIN, LDBL_EPSILON
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| 160 | are wrong. */
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| 161 | #if defined __sgi && (LDBL_MANT_DIG >= 106)
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| 162 | # undef LDBL_MANT_DIG
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| 163 | # define LDBL_MANT_DIG 106
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| 164 | # if defined __GNUC__
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| 165 | # undef LDBL_MIN_EXP
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| 166 | # define LDBL_MIN_EXP DBL_MIN_EXP
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| 167 | # undef LDBL_MIN_10_EXP
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| 168 | # define LDBL_MIN_10_EXP DBL_MIN_10_EXP
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| 169 | # undef LDBL_MIN
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| 170 | # define LDBL_MIN 2.22507385850720138309023271733240406422e-308L /* DBL_MIN = 2^-1022 */
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| 171 | # undef LDBL_EPSILON
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| 172 | # define LDBL_EPSILON 2.46519032881566189191165176650870696773e-32L /* 2^-105 */
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| 173 | # endif
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| 174 | #endif
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| 175 |
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| 176 | #if @REPLACE_ITOLD@
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| 177 | /* Pull in a function that fixes the 'int' to 'long double' conversion
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| 178 | of glibc 2.7. */
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| 179 | extern
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| 180 | # ifdef __cplusplus
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| 181 | "C"
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| 182 | # endif
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| 183 | void _Qp_itoq (long double *, int);
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| 184 | static void (*_gl_float_fix_itold) (long double *, int) = _Qp_itoq;
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| 185 | #endif
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| 186 |
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| 187 | #endif /* _@GUARD_PREFIX@_FLOAT_H */
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| 188 | #endif /* _@GUARD_PREFIX@_FLOAT_H */
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