1 | /* A correct <float.h>.
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2 |
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3 | Copyright (C) 2007-2021 Free Software Foundation, Inc.
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4 |
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5 | This file is free software: you can redistribute it and/or modify
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6 | it under the terms of the GNU Lesser General Public License as
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7 | published by the Free Software Foundation; either version 2.1 of the
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8 | License, or (at your option) any later version.
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9 |
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10 | This file 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 Lesser 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 Lesser General Public License
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16 | along with this program. If not, see <https://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 | <https://lists.gnu.org/r/bug-gnulib/2008-07/msg00063.html>. */
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66 | #if defined __i386__ && (defined __FreeBSD__ || defined __DragonFly__)
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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 3.362103143112093506262677817321752E-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 | # if !GNULIB_defined_long_double_union
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97 | union gl_long_double_union
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98 | {
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99 | struct { unsigned int lo; unsigned int hi; unsigned int exponent; } xd;
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100 | long double ld;
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101 | };
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102 | # define GNULIB_defined_long_double_union 1
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103 | # endif
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104 | extern const union gl_long_double_union gl_LDBL_MAX;
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105 | # define LDBL_MAX (gl_LDBL_MAX.ld)
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106 | /* Minimum e such that 10^e is in the range of normalized numbers. */
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107 | # undef LDBL_MIN_10_EXP
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108 | # define LDBL_MIN_10_EXP (-4931)
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109 | /* Maximum e such that 10^e is in the range of representable finite numbers. */
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110 | # undef LDBL_MAX_10_EXP
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111 | # define LDBL_MAX_10_EXP 4932
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112 | #endif
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113 |
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114 | /* On AIX 7.1 with gcc 4.2, the values of LDBL_MIN_EXP, LDBL_MIN, LDBL_MAX are
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115 | wrong.
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116 | On Linux/PowerPC with gcc 4.4, the value of LDBL_MAX is wrong. */
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117 | #if (defined _ARCH_PPC || defined _POWER) && defined _AIX && (LDBL_MANT_DIG == 106) && defined __GNUC__
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118 | # undef LDBL_MIN_EXP
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119 | # define LDBL_MIN_EXP DBL_MIN_EXP
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120 | # undef LDBL_MIN_10_EXP
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121 | # define LDBL_MIN_10_EXP DBL_MIN_10_EXP
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122 | # undef LDBL_MIN
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123 | # define LDBL_MIN 2.22507385850720138309023271733240406422e-308L /* DBL_MIN = 2^-1022 */
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124 | #endif
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125 | #if (defined _ARCH_PPC || defined _POWER) && (defined _AIX || defined __linux__) && (LDBL_MANT_DIG == 106) && defined __GNUC__
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126 | # undef LDBL_MAX
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127 | /* LDBL_MAX is represented as { 0x7FEFFFFF, 0xFFFFFFFF, 0x7C8FFFFF, 0xFFFFFFFF }.
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128 | It is not easy to define:
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129 | #define LDBL_MAX 1.79769313486231580793728971405302307166e308L
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130 | is too small, whereas
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131 | #define LDBL_MAX 1.79769313486231580793728971405302307167e308L
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132 | is too large. Apparently a bug in GCC decimal-to-binary conversion.
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133 | Also, I can't get values larger than
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134 | #define LDBL63 ((long double) (1ULL << 63))
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135 | #define LDBL882 (LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63)
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136 | #define LDBL945 (LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63)
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137 | #define LDBL1008 (LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63)
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138 | #define LDBL_MAX (LDBL1008 * 65535.0L + LDBL945 * (long double) 9223372036821221375ULL + LDBL882 * (long double) 4611686018427387904ULL)
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139 | which is represented as { 0x7FEFFFFF, 0xFFFFFFFF, 0x7C8FFFFF, 0xF8000000 }.
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140 | So, define it like this through a reference to an external variable
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141 |
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142 | const double LDBL_MAX[2] = { DBL_MAX, DBL_MAX / (double)134217728UL / (double)134217728UL };
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143 | extern const long double LDBL_MAX;
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144 |
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145 | or through a pointer cast
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146 |
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147 | #define LDBL_MAX \
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148 | (*(const long double *) (double[]) { DBL_MAX, DBL_MAX / (double)134217728UL / (double)134217728UL })
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149 |
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150 | Unfortunately, this is not a constant expression, and the latter expression
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151 | does not work well when GCC is optimizing.. */
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152 | # if !GNULIB_defined_long_double_union
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153 | union gl_long_double_union
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154 | {
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155 | struct { double hi; double lo; } dd;
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156 | long double ld;
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157 | };
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158 | # define GNULIB_defined_long_double_union 1
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159 | # endif
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160 | extern const union gl_long_double_union gl_LDBL_MAX;
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161 | # define LDBL_MAX (gl_LDBL_MAX.ld)
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162 | #endif
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163 |
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164 | /* On IRIX 6.5, with cc, the value of LDBL_MANT_DIG is wrong.
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165 | On IRIX 6.5, with gcc 4.2, the values of LDBL_MIN_EXP, LDBL_MIN, LDBL_EPSILON
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166 | are wrong. */
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167 | #if defined __sgi && (LDBL_MANT_DIG >= 106)
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168 | # undef LDBL_MANT_DIG
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169 | # define LDBL_MANT_DIG 106
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170 | # if defined __GNUC__
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171 | # undef LDBL_MIN_EXP
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172 | # define LDBL_MIN_EXP DBL_MIN_EXP
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173 | # undef LDBL_MIN_10_EXP
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174 | # define LDBL_MIN_10_EXP DBL_MIN_10_EXP
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175 | # undef LDBL_MIN
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176 | # define LDBL_MIN 2.22507385850720138309023271733240406422e-308L /* DBL_MIN = 2^-1022 */
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177 | # undef LDBL_EPSILON
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178 | # define LDBL_EPSILON 2.46519032881566189191165176650870696773e-32L /* 2^-105 */
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179 | # endif
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180 | #endif
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181 |
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182 | #if @REPLACE_ITOLD@
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183 | /* Pull in a function that fixes the 'int' to 'long double' conversion
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184 | of glibc 2.7. */
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185 | extern
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186 | # ifdef __cplusplus
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187 | "C"
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188 | # endif
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189 | void _Qp_itoq (long double *, int);
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190 | static void (*_gl_float_fix_itold) (long double *, int) = _Qp_itoq;
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191 | #endif
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192 |
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193 | #endif /* _@GUARD_PREFIX@_FLOAT_H */
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194 | #endif /* _@GUARD_PREFIX@_FLOAT_H */
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