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| Rev | Author | Line No. | Line |
|---|---|---|---|
| 1693 | serge | 1 | /* |
| 2 | FUNCTION |
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| 3 | < |
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| 4 | |||
| 5 | INDEX |
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| 6 | strtod |
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| 7 | INDEX |
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| 8 | _strtod_r |
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| 9 | INDEX |
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| 10 | strtof |
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| 11 | |||
| 12 | ANSI_SYNOPSIS |
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| 13 | #include |
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| 14 | double strtod(const char *<[str]>, char **<[tail]>); |
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| 15 | float strtof(const char *<[str]>, char **<[tail]>); |
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| 16 | |||
| 17 | double _strtod_r(void *<[reent]>, |
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| 18 | const char *<[str]>, char **<[tail]>); |
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| 19 | |||
| 20 | TRAD_SYNOPSIS |
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| 21 | #include |
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| 22 | double strtod(<[str]>,<[tail]>) |
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| 23 | char *<[str]>; |
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| 24 | char **<[tail]>; |
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| 25 | |||
| 26 | float strtof(<[str]>,<[tail]>) |
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| 27 | char *<[str]>; |
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| 28 | char **<[tail]>; |
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| 29 | |||
| 30 | double _strtod_r(<[reent]>,<[str]>,<[tail]>) |
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| 31 | char *<[reent]>; |
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| 32 | char *<[str]>; |
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| 33 | char **<[tail]>; |
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| 34 | |||
| 35 | DESCRIPTION |
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| 36 | The function < |
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| 37 | producing a substring which can be converted to a double |
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| 38 | value. The substring converted is the longest initial |
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| 39 | subsequence of <[str]>, beginning with the first |
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| 40 | non-whitespace character, that has one of these formats: |
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| 41 | .[+|-]<[digits]>[.[<[digits]>]][(e|E)[+|-]<[digits]>] |
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| 42 | .[+|-].<[digits]>[(e|E)[+|-]<[digits]>] |
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| 43 | .[+|-](i|I)(n|N)(f|F)[(i|I)(n|N)(i|I)(t|T)(y|Y)] |
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| 44 | .[+|-](n|N)(a|A)(n|N)[<(>[<[hexdigits]>]<)>] |
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| 45 | .[+|-]0(x|X)<[hexdigits]>[.[<[hexdigits]>]][(p|P)[+|-]<[digits]>] |
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| 46 | .[+|-]0(x|X).<[hexdigits]>[(p|P)[+|-]<[digits]>] |
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| 47 | The substring contains no characters if <[str]> is empty, consists |
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| 48 | entirely of whitespace, or if the first non-whitespace |
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| 49 | character is something other than <<+>>, <<->>, <<.>>, or a |
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| 50 | digit, and cannot be parsed as infinity or NaN. If the platform |
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| 51 | does not support NaN, then NaN is treated as an empty substring. |
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| 52 | If the substring is empty, no conversion is done, and |
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| 53 | the value of <[str]> is stored in <<*<[tail]>>>. Otherwise, |
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| 54 | the substring is converted, and a pointer to the final string |
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| 55 | (which will contain at least the terminating null character of |
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| 56 | <[str]>) is stored in <<*<[tail]>>>. If you want no |
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| 57 | assignment to <<*<[tail]>>>, pass a null pointer as <[tail]>. |
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| 58 | < |
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| 59 | |||
| 60 | This implementation returns the nearest machine number to the |
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| 61 | input decimal string. Ties are broken by using the IEEE |
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| 62 | round-even rule. However, < |
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| 63 | double rounding errors. |
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| 64 | |||
| 65 | The alternate function <<_strtod_r>> is a reentrant version. |
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| 66 | The extra argument <[reent]> is a pointer to a reentrancy structure. |
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| 67 | |||
| 68 | RETURNS |
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| 69 | < |
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| 70 | no conversion could be performed, 0 is returned. If the |
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| 71 | correct value is out of the range of representable values, |
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| 72 | plus or minus < |
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| 73 | stored in errno. If the correct value would cause underflow, 0 |
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| 74 | is returned and < |
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| 75 | |||
| 76 | Supporting OS subroutines required: < |
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| 77 | < |
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| 78 | */ |
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| 79 | |||
| 80 | /**************************************************************** |
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| 81 | |||
| 82 | The author of this software is David M. Gay. |
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| 83 | |||
| 84 | Copyright (C) 1998-2001 by Lucent Technologies |
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| 85 | All Rights Reserved |
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| 86 | |||
| 87 | Permission to use, copy, modify, and distribute this software and |
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| 88 | its documentation for any purpose and without fee is hereby |
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| 89 | granted, provided that the above copyright notice appear in all |
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| 90 | copies and that both that the copyright notice and this |
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| 91 | permission notice and warranty disclaimer appear in supporting |
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| 92 | documentation, and that the name of Lucent or any of its entities |
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| 93 | not be used in advertising or publicity pertaining to |
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| 94 | distribution of the software without specific, written prior |
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| 95 | permission. |
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| 96 | |||
| 97 | LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, |
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| 98 | INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. |
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| 99 | IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY |
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| 100 | SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES |
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| 101 | WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER |
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| 102 | IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, |
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| 103 | ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF |
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| 104 | THIS SOFTWARE. |
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| 105 | |||
| 106 | ****************************************************************/ |
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| 107 | |||
| 108 | /* Please send bug reports to David M. Gay (dmg at acm dot org, |
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| 109 | * with " at " changed at "@" and " dot " changed to "."). */ |
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| 110 | |||
| 111 | /* Original file gdtoa-strtod.c Modified 06-21-2006 by Jeff Johnston to work within newlib. */ |
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| 112 | |||
| 113 | #include <_ansi.h> |
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| 114 | #include |
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| 115 | #include |
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| 116 | #include |
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| 117 | #include "mprec.h" |
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| 118 | #include "gdtoa.h" |
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| 119 | #include "gd_qnan.h" |
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| 120 | |||
| 121 | /* #ifndef NO_FENV_H */ |
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| 122 | /* #include |
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| 123 | /* #endif */ |
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| 124 | |||
| 125 | #include "locale.h" |
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| 126 | |||
| 127 | #ifdef IEEE_Arith |
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| 128 | #ifndef NO_IEEE_Scale |
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| 129 | #define Avoid_Underflow |
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| 130 | #undef tinytens |
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| 131 | /* The factor of 2^53 in tinytens[4] helps us avoid setting the underflow */ |
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| 132 | /* flag unnecessarily. It leads to a song and dance at the end of strtod. */ |
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| 133 | static _CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128, |
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| 134 | 9007199254740992.e-256 |
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| 135 | }; |
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| 136 | #endif |
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| 137 | #endif |
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| 138 | |||
| 139 | #ifdef Honor_FLT_ROUNDS |
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| 140 | #define Rounding rounding |
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| 141 | #undef Check_FLT_ROUNDS |
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| 142 | #define Check_FLT_ROUNDS |
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| 143 | #else |
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| 144 | #define Rounding Flt_Rounds |
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| 145 | #endif |
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| 146 | |||
| 147 | #ifndef NO_HEX_FP |
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| 148 | |||
| 149 | static void |
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| 150 | _DEFUN (ULtod, (L, bits, exp, k), |
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| 151 | __ULong *L _AND |
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| 152 | __ULong *bits _AND |
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| 153 | Long exp _AND |
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| 154 | int k) |
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| 155 | { |
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| 156 | switch(k & STRTOG_Retmask) { |
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| 157 | case STRTOG_NoNumber: |
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| 158 | case STRTOG_Zero: |
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| 159 | L[0] = L[1] = 0; |
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| 160 | break; |
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| 161 | |||
| 162 | case STRTOG_Denormal: |
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| 163 | L[_1] = bits[0]; |
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| 164 | L[_0] = bits[1]; |
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| 165 | break; |
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| 166 | |||
| 167 | case STRTOG_Normal: |
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| 168 | case STRTOG_NaNbits: |
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| 169 | L[_1] = bits[0]; |
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| 170 | L[_0] = (bits[1] & ~0x100000) | ((exp + 0x3ff + 52) << 20); |
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| 171 | break; |
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| 172 | |||
| 173 | case STRTOG_Infinite: |
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| 174 | L[_0] = 0x7ff00000; |
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| 175 | L[_1] = 0; |
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| 176 | break; |
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| 177 | |||
| 178 | case STRTOG_NaN: |
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| 179 | L[_0] = 0x7fffffff; |
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| 180 | L[_1] = (__ULong)-1; |
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| 181 | } |
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| 182 | if (k & STRTOG_Neg) |
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| 183 | L[_0] |= 0x80000000L; |
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| 184 | } |
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| 185 | #endif /* !NO_HEX_FP */ |
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| 186 | |||
| 187 | #ifdef INFNAN_CHECK |
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| 188 | static int |
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| 189 | _DEFUN (match, (sp, t), |
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| 190 | _CONST char **sp _AND |
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| 191 | char *t) |
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| 192 | { |
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| 193 | int c, d; |
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| 194 | _CONST char *s = *sp; |
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| 195 | |||
| 196 | while( (d = *t++) !=0) { |
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| 197 | if ((c = *++s) >= 'A' && c <= 'Z') |
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| 198 | c += 'a' - 'A'; |
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| 199 | if (c != d) |
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| 200 | return 0; |
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| 201 | } |
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| 202 | *sp = s + 1; |
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| 203 | return 1; |
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| 204 | } |
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| 205 | #endif /* INFNAN_CHECK */ |
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| 206 | |||
| 207 | |||
| 208 | double |
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| 209 | _DEFUN (_strtod_r, (ptr, s00, se), |
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| 210 | struct _reent *ptr _AND |
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| 211 | _CONST char *s00 _AND |
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| 212 | char **se) |
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| 213 | { |
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| 214 | #ifdef Avoid_Underflow |
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| 215 | int scale; |
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| 216 | #endif |
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| 217 | int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, decpt, dsign, |
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| 218 | e, e1, esign, i, j, k, nd, nd0, nf, nz, nz0, sign; |
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| 219 | _CONST char *s, *s0, *s1; |
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| 220 | double aadj, adj; |
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| 221 | U aadj1, rv, rv0; |
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| 222 | Long L; |
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| 223 | __ULong y, z; |
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| 224 | _Bigint *bb, *bb1, *bd, *bd0, *bs, *delta; |
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| 225 | #ifdef SET_INEXACT |
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| 226 | int inexact, oldinexact; |
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| 227 | #endif |
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| 228 | #ifdef Honor_FLT_ROUNDS |
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| 229 | int rounding; |
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| 230 | #endif |
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| 231 | |||
| 232 | delta = bs = bd = NULL; |
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| 233 | sign = nz0 = nz = decpt = 0; |
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| 234 | dval(rv) = 0.; |
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| 235 | for(s = s00;;s++) switch(*s) { |
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| 236 | case '-': |
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| 237 | sign = 1; |
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| 238 | /* no break */ |
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| 239 | case '+': |
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| 240 | if (*++s) |
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| 241 | goto break2; |
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| 242 | /* no break */ |
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| 243 | case 0: |
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| 244 | goto ret0; |
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| 245 | case '\t': |
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| 246 | case '\n': |
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| 247 | case '\v': |
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| 248 | case '\f': |
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| 249 | case '\r': |
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| 250 | case ' ': |
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| 251 | continue; |
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| 252 | default: |
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| 253 | goto break2; |
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| 254 | } |
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| 255 | break2: |
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| 256 | if (*s == '0') { |
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| 257 | #ifndef NO_HEX_FP |
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| 258 | { |
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| 259 | static FPI fpi = { 53, 1-1023-53+1, 2046-1023-53+1, 1, SI }; |
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| 260 | Long exp; |
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| 261 | __ULong bits[2]; |
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| 262 | switch(s[1]) { |
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| 263 | case 'x': |
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| 264 | case 'X': |
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| 265 | /* If the number is not hex, then the parse of |
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| 266 | |||
| 267 | s00 = s + 1; |
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| 268 | { |
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| 269 | #if defined(FE_DOWNWARD) && defined(FE_TONEAREST) && defined(FE_TOWARDZERO) && defined(FE_UPWARD) |
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| 270 | FPI fpi1 = fpi; |
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| 271 | switch(fegetround()) { |
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| 272 | case FE_TOWARDZERO: fpi1.rounding = 0; break; |
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| 273 | case FE_UPWARD: fpi1.rounding = 2; break; |
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| 274 | case FE_DOWNWARD: fpi1.rounding = 3; |
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| 275 | } |
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| 276 | #else |
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| 277 | #define fpi1 fpi |
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| 278 | #endif |
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| 279 | switch((i = gethex(ptr, &s, &fpi1, &exp, &bb, sign)) & STRTOG_Retmask) { |
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| 280 | case STRTOG_NoNumber: |
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| 281 | s = s00; |
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| 282 | case STRTOG_Zero: |
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| 283 | break; |
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| 284 | default: |
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| 285 | if (bb) { |
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| 286 | copybits(bits, fpi.nbits, bb); |
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| 287 | Bfree(ptr,bb); |
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| 288 | } |
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| 289 | ULtod(rv.i, bits, exp, i); |
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| 290 | }} |
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| 291 | goto ret; |
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| 292 | } |
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| 293 | } |
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| 294 | #endif |
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| 295 | nz0 = 1; |
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| 296 | while(*++s == '0') ; |
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| 297 | if (!*s) |
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| 298 | goto ret; |
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| 299 | } |
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| 300 | s0 = s; |
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| 301 | y = z = 0; |
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| 3065 | serge | 302 | for(nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++) { |
| 303 | if (nd < DBL_DIG + 1) { |
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| 1906 | serge | 304 | if (nd < 9) |
| 305 | y = 10*y + c - '0'; |
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| 3065 | serge | 306 | else |
| 1906 | serge | 307 | z = 10*z + c - '0'; |
| 3065 | serge | 308 | } |
| 309 | } |
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| 1693 | serge | 310 | nd0 = nd; |
| 311 | if (strncmp (s, _localeconv_r (ptr)->decimal_point, |
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| 3065 | serge | 312 | strlen (_localeconv_r (ptr)->decimal_point)) == 0) { |
| 1693 | serge | 313 | decpt = 1; |
| 314 | c = *(s += strlen (_localeconv_r (ptr)->decimal_point)); |
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| 315 | if (!nd) { |
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| 316 | for(; c == '0'; c = *++s) |
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| 317 | nz++; |
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| 318 | if (c > '0' && c <= '9') { |
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| 319 | s0 = s; |
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| 320 | nf += nz; |
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| 321 | nz = 0; |
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| 322 | goto have_dig; |
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| 323 | } |
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| 324 | goto dig_done; |
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| 325 | } |
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| 326 | for(; c >= '0' && c <= '9'; c = *++s) { |
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| 327 | have_dig: |
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| 328 | nz++; |
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| 329 | if (c -= '0') { |
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| 3065 | serge | 330 | for(i = 1; i < nz; i++) { |
| 331 | if (nd <= DBL_DIG + 1) { |
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| 332 | if (nd + i < 10) |
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| 1906 | serge | 333 | y *= 10; |
| 3065 | serge | 334 | else |
| 1906 | serge | 335 | z *= 10; |
| 3065 | serge | 336 | } |
| 337 | } |
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| 338 | if (nd <= DBL_DIG + 1) { |
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| 339 | if (nd + i < 10) |
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| 1906 | serge | 340 | y = 10*y + c; |
| 3065 | serge | 341 | else |
| 1906 | serge | 342 | z = 10*z + c; |
| 3065 | serge | 343 | } |
| 344 | if (nd <= DBL_DIG + 1) { |
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| 345 | nf += nz; |
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| 346 | nd += nz; |
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| 347 | } |
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| 1693 | serge | 348 | nz = 0; |
| 349 | } |
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| 350 | } |
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| 351 | } |
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| 352 | dig_done: |
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| 353 | e = 0; |
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| 354 | if (c == 'e' || c == 'E') { |
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| 355 | if (!nd && !nz && !nz0) { |
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| 356 | goto ret0; |
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| 357 | } |
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| 358 | s00 = s; |
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| 359 | esign = 0; |
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| 360 | switch(c = *++s) { |
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| 361 | case '-': |
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| 362 | esign = 1; |
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| 363 | case '+': |
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| 364 | c = *++s; |
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| 365 | } |
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| 366 | if (c >= '0' && c <= '9') { |
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| 367 | while(c == '0') |
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| 368 | c = *++s; |
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| 369 | if (c > '0' && c <= '9') { |
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| 370 | L = c - '0'; |
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| 371 | s1 = s; |
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| 372 | while((c = *++s) >= '0' && c <= '9') |
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| 373 | L = 10*L + c - '0'; |
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| 374 | if (s - s1 > 8 || L > 19999) |
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| 375 | /* Avoid confusion from exponents |
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| 376 | * so large that e might overflow. |
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| 377 | */ |
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| 378 | e = 19999; /* safe for 16 bit ints */ |
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| 379 | else |
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| 380 | e = (int)L; |
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| 381 | if (esign) |
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| 382 | e = -e; |
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| 383 | } |
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| 384 | else |
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| 385 | e = 0; |
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| 386 | } |
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| 387 | else |
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| 388 | s = s00; |
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| 389 | } |
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| 390 | if (!nd) { |
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| 391 | if (!nz && !nz0) { |
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| 392 | #ifdef INFNAN_CHECK |
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| 393 | /* Check for Nan and Infinity */ |
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| 394 | __ULong bits[2]; |
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| 395 | static FPI fpinan = /* only 52 explicit bits */ |
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| 396 | { 52, 1-1023-53+1, 2046-1023-53+1, 1, SI }; |
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| 397 | if (!decpt) |
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| 398 | switch(c) { |
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| 399 | case 'i': |
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| 400 | case 'I': |
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| 401 | if (match(&s,"nf")) { |
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| 402 | --s; |
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| 403 | if (!match(&s,"inity")) |
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| 404 | ++s; |
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| 405 | dword0(rv) = 0x7ff00000; |
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| 406 | #ifndef _DOUBLE_IS_32BITS |
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| 407 | dword1(rv) = 0; |
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| 408 | #endif /*!_DOUBLE_IS_32BITS*/ |
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| 409 | goto ret; |
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| 410 | } |
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| 411 | break; |
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| 412 | case 'n': |
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| 413 | case 'N': |
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| 414 | if (match(&s, "an")) { |
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| 415 | #ifndef No_Hex_NaN |
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| 416 | if (*s == '(' /*)*/ |
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| 417 | && hexnan(&s, &fpinan, bits) |
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| 418 | == STRTOG_NaNbits) { |
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| 419 | dword0(rv) = 0x7ff00000 | bits[1]; |
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| 420 | #ifndef _DOUBLE_IS_32BITS |
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| 421 | dword1(rv) = bits[0]; |
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| 422 | #endif /*!_DOUBLE_IS_32BITS*/ |
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| 423 | } |
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| 424 | else { |
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| 425 | #endif |
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| 426 | dword0(rv) = NAN_WORD0; |
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| 427 | #ifndef _DOUBLE_IS_32BITS |
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| 428 | dword1(rv) = NAN_WORD1; |
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| 429 | #endif /*!_DOUBLE_IS_32BITS*/ |
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| 430 | #ifndef No_Hex_NaN |
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| 431 | } |
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| 432 | #endif |
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| 433 | goto ret; |
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| 434 | } |
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| 435 | } |
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| 436 | #endif /* INFNAN_CHECK */ |
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| 437 | ret0: |
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| 438 | s = s00; |
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| 439 | sign = 0; |
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| 440 | } |
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| 441 | goto ret; |
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| 442 | } |
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| 443 | e1 = e -= nf; |
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| 444 | |||
| 445 | /* Now we have nd0 digits, starting at s0, followed by a |
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| 446 | * decimal point, followed by nd-nd0 digits. The number we're |
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| 447 | * after is the integer represented by those digits times |
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| 448 | * 10**e */ |
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| 449 | |||
| 450 | if (!nd0) |
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| 451 | nd0 = nd; |
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| 452 | k = nd < DBL_DIG + 1 ? nd : DBL_DIG + 1; |
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| 453 | dval(rv) = y; |
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| 454 | if (k > 9) { |
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| 455 | #ifdef SET_INEXACT |
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| 456 | if (k > DBL_DIG) |
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| 457 | oldinexact = get_inexact(); |
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| 458 | #endif |
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| 459 | dval(rv) = tens[k - 9] * dval(rv) + z; |
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| 460 | } |
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| 461 | bd0 = 0; |
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| 462 | if (nd <= DBL_DIG |
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| 463 | #ifndef RND_PRODQUOT |
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| 464 | #ifndef Honor_FLT_ROUNDS |
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| 465 | && Flt_Rounds == 1 |
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| 466 | #endif |
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| 467 | #endif |
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| 468 | ) { |
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| 469 | if (!e) |
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| 470 | goto ret; |
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| 471 | if (e > 0) { |
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| 472 | if (e <= Ten_pmax) { |
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| 473 | #ifdef VAX |
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| 474 | goto vax_ovfl_check; |
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| 475 | #else |
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| 476 | #ifdef Honor_FLT_ROUNDS |
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| 477 | /* round correctly FLT_ROUNDS = 2 or 3 */ |
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| 478 | if (sign) { |
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| 479 | dval(rv) = -dval(rv); |
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| 480 | sign = 0; |
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| 481 | } |
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| 482 | #endif |
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| 483 | /* rv = */ rounded_product(dval(rv), tens[e]); |
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| 484 | goto ret; |
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| 485 | #endif |
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| 486 | } |
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| 487 | i = DBL_DIG - nd; |
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| 488 | if (e <= Ten_pmax + i) { |
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| 489 | /* A fancier test would sometimes let us do |
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| 490 | * this for larger i values. |
||
| 491 | */ |
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| 492 | #ifdef Honor_FLT_ROUNDS |
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| 493 | /* round correctly FLT_ROUNDS = 2 or 3 */ |
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| 494 | if (sign) { |
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| 495 | dval(rv) = -dval(rv); |
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| 496 | sign = 0; |
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| 497 | } |
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| 498 | #endif |
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| 499 | e -= i; |
||
| 500 | dval(rv) *= tens[i]; |
||
| 501 | #ifdef VAX |
||
| 502 | /* VAX exponent range is so narrow we must |
||
| 503 | * worry about overflow here... |
||
| 504 | */ |
||
| 505 | vax_ovfl_check: |
||
| 506 | dword0(rv) -= P*Exp_msk1; |
||
| 507 | /* rv = */ rounded_product(dval(rv), tens[e]); |
||
| 508 | if ((dword0(rv) & Exp_mask) |
||
| 509 | > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) |
||
| 510 | goto ovfl; |
||
| 511 | dword0(rv) += P*Exp_msk1; |
||
| 512 | #else |
||
| 513 | /* rv = */ rounded_product(dval(rv), tens[e]); |
||
| 514 | #endif |
||
| 515 | goto ret; |
||
| 516 | } |
||
| 517 | } |
||
| 518 | #ifndef Inaccurate_Divide |
||
| 519 | else if (e >= -Ten_pmax) { |
||
| 520 | #ifdef Honor_FLT_ROUNDS |
||
| 521 | /* round correctly FLT_ROUNDS = 2 or 3 */ |
||
| 522 | if (sign) { |
||
| 523 | dval(rv) = -dval(rv); |
||
| 524 | sign = 0; |
||
| 525 | } |
||
| 526 | #endif |
||
| 527 | /* rv = */ rounded_quotient(dval(rv), tens[-e]); |
||
| 528 | goto ret; |
||
| 529 | } |
||
| 530 | #endif |
||
| 531 | } |
||
| 532 | e1 += nd - k; |
||
| 533 | |||
| 534 | #ifdef IEEE_Arith |
||
| 535 | #ifdef SET_INEXACT |
||
| 536 | inexact = 1; |
||
| 537 | if (k <= DBL_DIG) |
||
| 538 | oldinexact = get_inexact(); |
||
| 539 | #endif |
||
| 540 | #ifdef Avoid_Underflow |
||
| 541 | scale = 0; |
||
| 542 | #endif |
||
| 543 | #ifdef Honor_FLT_ROUNDS |
||
| 544 | if ((rounding = Flt_Rounds) >= 2) { |
||
| 545 | if (sign) |
||
| 546 | rounding = rounding == 2 ? 0 : 2; |
||
| 547 | else |
||
| 548 | if (rounding != 2) |
||
| 549 | rounding = 0; |
||
| 550 | } |
||
| 551 | #endif |
||
| 552 | #endif /*IEEE_Arith*/ |
||
| 553 | |||
| 554 | /* Get starting approximation = rv * 10**e1 */ |
||
| 555 | |||
| 556 | if (e1 > 0) { |
||
| 557 | if ( (i = e1 & 15) !=0) |
||
| 558 | dval(rv) *= tens[i]; |
||
| 559 | if (e1 &= ~15) { |
||
| 560 | if (e1 > DBL_MAX_10_EXP) { |
||
| 561 | ovfl: |
||
| 562 | #ifndef NO_ERRNO |
||
| 563 | ptr->_errno = ERANGE; |
||
| 564 | #endif |
||
| 565 | /* Can't trust HUGE_VAL */ |
||
| 566 | #ifdef IEEE_Arith |
||
| 567 | #ifdef Honor_FLT_ROUNDS |
||
| 568 | switch(rounding) { |
||
| 569 | case 0: /* toward 0 */ |
||
| 570 | case 3: /* toward -infinity */ |
||
| 571 | dword0(rv) = Big0; |
||
| 572 | #ifndef _DOUBLE_IS_32BITS |
||
| 573 | dword1(rv) = Big1; |
||
| 574 | #endif /*!_DOUBLE_IS_32BITS*/ |
||
| 575 | break; |
||
| 576 | default: |
||
| 577 | dword0(rv) = Exp_mask; |
||
| 578 | #ifndef _DOUBLE_IS_32BITS |
||
| 579 | dword1(rv) = 0; |
||
| 580 | #endif /*!_DOUBLE_IS_32BITS*/ |
||
| 581 | } |
||
| 582 | #else /*Honor_FLT_ROUNDS*/ |
||
| 583 | dword0(rv) = Exp_mask; |
||
| 584 | #ifndef _DOUBLE_IS_32BITS |
||
| 585 | dword1(rv) = 0; |
||
| 586 | #endif /*!_DOUBLE_IS_32BITS*/ |
||
| 587 | #endif /*Honor_FLT_ROUNDS*/ |
||
| 588 | #ifdef SET_INEXACT |
||
| 589 | /* set overflow bit */ |
||
| 590 | dval(rv0) = 1e300; |
||
| 591 | dval(rv0) *= dval(rv0); |
||
| 592 | #endif |
||
| 593 | #else /*IEEE_Arith*/ |
||
| 594 | dword0(rv) = Big0; |
||
| 595 | #ifndef _DOUBLE_IS_32BITS |
||
| 596 | dword1(rv) = Big1; |
||
| 597 | #endif /*!_DOUBLE_IS_32BITS*/ |
||
| 598 | #endif /*IEEE_Arith*/ |
||
| 599 | if (bd0) |
||
| 600 | goto retfree; |
||
| 601 | goto ret; |
||
| 602 | } |
||
| 603 | e1 >>= 4; |
||
| 604 | for(j = 0; e1 > 1; j++, e1 >>= 1) |
||
| 605 | if (e1 & 1) |
||
| 606 | dval(rv) *= bigtens[j]; |
||
| 607 | /* The last multiplication could overflow. */ |
||
| 608 | dword0(rv) -= P*Exp_msk1; |
||
| 609 | dval(rv) *= bigtens[j]; |
||
| 610 | if ((z = dword0(rv) & Exp_mask) |
||
| 611 | > Exp_msk1*(DBL_MAX_EXP+Bias-P)) |
||
| 612 | goto ovfl; |
||
| 613 | if (z > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) { |
||
| 614 | /* set to largest number */ |
||
| 615 | /* (Can't trust DBL_MAX) */ |
||
| 616 | dword0(rv) = Big0; |
||
| 617 | #ifndef _DOUBLE_IS_32BITS |
||
| 618 | dword1(rv) = Big1; |
||
| 619 | #endif /*!_DOUBLE_IS_32BITS*/ |
||
| 620 | } |
||
| 621 | else |
||
| 622 | dword0(rv) += P*Exp_msk1; |
||
| 623 | } |
||
| 624 | } |
||
| 625 | else if (e1 < 0) { |
||
| 626 | e1 = -e1; |
||
| 627 | if ( (i = e1 & 15) !=0) |
||
| 628 | dval(rv) /= tens[i]; |
||
| 629 | if (e1 >>= 4) { |
||
| 630 | if (e1 >= 1 << n_bigtens) |
||
| 631 | goto undfl; |
||
| 632 | #ifdef Avoid_Underflow |
||
| 633 | if (e1 & Scale_Bit) |
||
| 634 | scale = 2*P; |
||
| 635 | for(j = 0; e1 > 0; j++, e1 >>= 1) |
||
| 636 | if (e1 & 1) |
||
| 637 | dval(rv) *= tinytens[j]; |
||
| 638 | if (scale && (j = 2*P + 1 - ((dword0(rv) & Exp_mask) |
||
| 639 | >> Exp_shift)) > 0) { |
||
| 640 | /* scaled rv is denormal; zap j low bits */ |
||
| 641 | if (j >= 32) { |
||
| 642 | #ifndef _DOUBLE_IS_32BITS |
||
| 643 | dword1(rv) = 0; |
||
| 644 | #endif /*!_DOUBLE_IS_32BITS*/ |
||
| 645 | if (j >= 53) |
||
| 646 | dword0(rv) = (P+2)*Exp_msk1; |
||
| 647 | else |
||
| 648 | dword0(rv) &= 0xffffffff << (j-32); |
||
| 649 | } |
||
| 650 | #ifndef _DOUBLE_IS_32BITS |
||
| 651 | else |
||
| 652 | dword1(rv) &= 0xffffffff << j; |
||
| 653 | #endif /*!_DOUBLE_IS_32BITS*/ |
||
| 654 | } |
||
| 655 | #else |
||
| 656 | for(j = 0; e1 > 1; j++, e1 >>= 1) |
||
| 657 | if (e1 & 1) |
||
| 658 | dval(rv) *= tinytens[j]; |
||
| 659 | /* The last multiplication could underflow. */ |
||
| 660 | dval(rv0) = dval(rv); |
||
| 661 | dval(rv) *= tinytens[j]; |
||
| 662 | if (!dval(rv)) { |
||
| 663 | dval(rv) = 2.*dval(rv0); |
||
| 664 | dval(rv) *= tinytens[j]; |
||
| 665 | #endif |
||
| 666 | if (!dval(rv)) { |
||
| 667 | undfl: |
||
| 668 | dval(rv) = 0.; |
||
| 669 | #ifndef NO_ERRNO |
||
| 670 | ptr->_errno = ERANGE; |
||
| 671 | #endif |
||
| 672 | if (bd0) |
||
| 673 | goto retfree; |
||
| 674 | goto ret; |
||
| 675 | } |
||
| 676 | #ifndef Avoid_Underflow |
||
| 677 | #ifndef _DOUBLE_IS_32BITS |
||
| 678 | dword0(rv) = Tiny0; |
||
| 679 | dword1(rv) = Tiny1; |
||
| 680 | #else |
||
| 681 | dword0(rv) = Tiny1; |
||
| 682 | #endif /*_DOUBLE_IS_32BITS*/ |
||
| 683 | /* The refinement below will clean |
||
| 684 | * this approximation up. |
||
| 685 | */ |
||
| 686 | } |
||
| 687 | #endif |
||
| 688 | } |
||
| 689 | } |
||
| 690 | |||
| 691 | /* Now the hard part -- adjusting rv to the correct value.*/ |
||
| 692 | |||
| 693 | /* Put digits into bd: true value = bd * 10^e */ |
||
| 694 | |||
| 695 | bd0 = s2b(ptr, s0, nd0, nd, y); |
||
| 696 | |||
| 697 | for(;;) { |
||
| 698 | bd = Balloc(ptr,bd0->_k); |
||
| 699 | Bcopy(bd, bd0); |
||
| 700 | bb = d2b(ptr,dval(rv), &bbe, &bbbits); /* rv = bb * 2^bbe */ |
||
| 701 | bs = i2b(ptr,1); |
||
| 702 | |||
| 703 | if (e >= 0) { |
||
| 704 | bb2 = bb5 = 0; |
||
| 705 | bd2 = bd5 = e; |
||
| 706 | } |
||
| 707 | else { |
||
| 708 | bb2 = bb5 = -e; |
||
| 709 | bd2 = bd5 = 0; |
||
| 710 | } |
||
| 711 | if (bbe >= 0) |
||
| 712 | bb2 += bbe; |
||
| 713 | else |
||
| 714 | bd2 -= bbe; |
||
| 715 | bs2 = bb2; |
||
| 716 | #ifdef Honor_FLT_ROUNDS |
||
| 717 | if (rounding != 1) |
||
| 718 | bs2++; |
||
| 719 | #endif |
||
| 720 | #ifdef Avoid_Underflow |
||
| 721 | j = bbe - scale; |
||
| 722 | i = j + bbbits - 1; /* logb(rv) */ |
||
| 723 | if (i < Emin) /* denormal */ |
||
| 724 | j += P - Emin; |
||
| 725 | else |
||
| 726 | j = P + 1 - bbbits; |
||
| 727 | #else /*Avoid_Underflow*/ |
||
| 728 | #ifdef Sudden_Underflow |
||
| 729 | #ifdef IBM |
||
| 730 | j = 1 + 4*P - 3 - bbbits + ((bbe + bbbits - 1) & 3); |
||
| 731 | #else |
||
| 732 | j = P + 1 - bbbits; |
||
| 733 | #endif |
||
| 734 | #else /*Sudden_Underflow*/ |
||
| 735 | j = bbe; |
||
| 736 | i = j + bbbits - 1; /* logb(rv) */ |
||
| 737 | if (i < Emin) /* denormal */ |
||
| 738 | j += P - Emin; |
||
| 739 | else |
||
| 740 | j = P + 1 - bbbits; |
||
| 741 | #endif /*Sudden_Underflow*/ |
||
| 742 | #endif /*Avoid_Underflow*/ |
||
| 743 | bb2 += j; |
||
| 744 | bd2 += j; |
||
| 745 | #ifdef Avoid_Underflow |
||
| 746 | bd2 += scale; |
||
| 747 | #endif |
||
| 748 | i = bb2 < bd2 ? bb2 : bd2; |
||
| 749 | if (i > bs2) |
||
| 750 | i = bs2; |
||
| 751 | if (i > 0) { |
||
| 752 | bb2 -= i; |
||
| 753 | bd2 -= i; |
||
| 754 | bs2 -= i; |
||
| 755 | } |
||
| 756 | if (bb5 > 0) { |
||
| 757 | bs = pow5mult(ptr, bs, bb5); |
||
| 758 | bb1 = mult(ptr, bs, bb); |
||
| 759 | Bfree(ptr, bb); |
||
| 760 | bb = bb1; |
||
| 761 | } |
||
| 762 | if (bb2 > 0) |
||
| 763 | bb = lshift(ptr, bb, bb2); |
||
| 764 | if (bd5 > 0) |
||
| 765 | bd = pow5mult(ptr, bd, bd5); |
||
| 766 | if (bd2 > 0) |
||
| 767 | bd = lshift(ptr, bd, bd2); |
||
| 768 | if (bs2 > 0) |
||
| 769 | bs = lshift(ptr, bs, bs2); |
||
| 770 | delta = diff(ptr, bb, bd); |
||
| 771 | dsign = delta->_sign; |
||
| 772 | delta->_sign = 0; |
||
| 773 | i = cmp(delta, bs); |
||
| 774 | #ifdef Honor_FLT_ROUNDS |
||
| 775 | if (rounding != 1) { |
||
| 776 | if (i < 0) { |
||
| 777 | /* Error is less than an ulp */ |
||
| 778 | if (!delta->_x[0] && delta->_wds <= 1) { |
||
| 779 | /* exact */ |
||
| 780 | #ifdef SET_INEXACT |
||
| 781 | inexact = 0; |
||
| 782 | #endif |
||
| 783 | break; |
||
| 784 | } |
||
| 785 | if (rounding) { |
||
| 786 | if (dsign) { |
||
| 787 | adj = 1.; |
||
| 788 | goto apply_adj; |
||
| 789 | } |
||
| 790 | } |
||
| 791 | else if (!dsign) { |
||
| 792 | adj = -1.; |
||
| 793 | if (!dword1(rv) |
||
| 794 | && !(dword0(rv) & Frac_mask)) { |
||
| 795 | y = dword0(rv) & Exp_mask; |
||
| 796 | #ifdef Avoid_Underflow |
||
| 797 | if (!scale || y > 2*P*Exp_msk1) |
||
| 798 | #else |
||
| 799 | if (y) |
||
| 800 | #endif |
||
| 801 | { |
||
| 802 | delta = lshift(ptr, delta,Log2P); |
||
| 803 | if (cmp(delta, bs) <= 0) |
||
| 804 | adj = -0.5; |
||
| 805 | } |
||
| 806 | } |
||
| 807 | apply_adj: |
||
| 808 | #ifdef Avoid_Underflow |
||
| 809 | if (scale && (y = dword0(rv) & Exp_mask) |
||
| 810 | <= 2*P*Exp_msk1) |
||
| 811 | dword0(adj) += (2*P+1)*Exp_msk1 - y; |
||
| 812 | #else |
||
| 813 | #ifdef Sudden_Underflow |
||
| 814 | if ((dword0(rv) & Exp_mask) <= |
||
| 815 | P*Exp_msk1) { |
||
| 816 | dword0(rv) += P*Exp_msk1; |
||
| 817 | dval(rv) += adj*ulp(dval(rv)); |
||
| 818 | dword0(rv) -= P*Exp_msk1; |
||
| 819 | } |
||
| 820 | else |
||
| 821 | #endif /*Sudden_Underflow*/ |
||
| 822 | #endif /*Avoid_Underflow*/ |
||
| 823 | dval(rv) += adj*ulp(dval(rv)); |
||
| 824 | } |
||
| 825 | break; |
||
| 826 | } |
||
| 827 | adj = ratio(delta, bs); |
||
| 828 | if (adj < 1.) |
||
| 829 | adj = 1.; |
||
| 830 | if (adj <= 0x7ffffffe) { |
||
| 831 | /* adj = rounding ? ceil(adj) : floor(adj); */ |
||
| 832 | y = adj; |
||
| 833 | if (y != adj) { |
||
| 834 | if (!((rounding>>1) ^ dsign)) |
||
| 835 | y++; |
||
| 836 | adj = y; |
||
| 837 | } |
||
| 838 | } |
||
| 839 | #ifdef Avoid_Underflow |
||
| 840 | if (scale && (y = dword0(rv) & Exp_mask) <= 2*P*Exp_msk1) |
||
| 841 | dword0(adj) += (2*P+1)*Exp_msk1 - y; |
||
| 842 | #else |
||
| 843 | #ifdef Sudden_Underflow |
||
| 844 | if ((dword0(rv) & Exp_mask) <= P*Exp_msk1) { |
||
| 845 | dword0(rv) += P*Exp_msk1; |
||
| 846 | adj *= ulp(dval(rv)); |
||
| 847 | if (dsign) |
||
| 848 | dval(rv) += adj; |
||
| 849 | else |
||
| 850 | dval(rv) -= adj; |
||
| 851 | dword0(rv) -= P*Exp_msk1; |
||
| 852 | goto cont; |
||
| 853 | } |
||
| 854 | #endif /*Sudden_Underflow*/ |
||
| 855 | #endif /*Avoid_Underflow*/ |
||
| 856 | adj *= ulp(dval(rv)); |
||
| 857 | if (dsign) |
||
| 858 | dval(rv) += adj; |
||
| 859 | else |
||
| 860 | dval(rv) -= adj; |
||
| 861 | goto cont; |
||
| 862 | } |
||
| 863 | #endif /*Honor_FLT_ROUNDS*/ |
||
| 864 | |||
| 865 | if (i < 0) { |
||
| 866 | /* Error is less than half an ulp -- check for |
||
| 867 | * special case of mantissa a power of two. |
||
| 868 | */ |
||
| 869 | if (dsign || dword1(rv) || dword0(rv) & Bndry_mask |
||
| 870 | #ifdef IEEE_Arith |
||
| 871 | #ifdef Avoid_Underflow |
||
| 872 | || (dword0(rv) & Exp_mask) <= (2*P+1)*Exp_msk1 |
||
| 873 | #else |
||
| 874 | || (dword0(rv) & Exp_mask) <= Exp_msk1 |
||
| 875 | #endif |
||
| 876 | #endif |
||
| 877 | ) { |
||
| 878 | #ifdef SET_INEXACT |
||
| 879 | if (!delta->x[0] && delta->wds <= 1) |
||
| 880 | inexact = 0; |
||
| 881 | #endif |
||
| 882 | break; |
||
| 883 | } |
||
| 884 | if (!delta->_x[0] && delta->_wds <= 1) { |
||
| 885 | /* exact result */ |
||
| 886 | #ifdef SET_INEXACT |
||
| 887 | inexact = 0; |
||
| 888 | #endif |
||
| 889 | break; |
||
| 890 | } |
||
| 891 | delta = lshift(ptr,delta,Log2P); |
||
| 892 | if (cmp(delta, bs) > 0) |
||
| 893 | goto drop_down; |
||
| 894 | break; |
||
| 895 | } |
||
| 896 | if (i == 0) { |
||
| 897 | /* exactly half-way between */ |
||
| 898 | if (dsign) { |
||
| 899 | if ((dword0(rv) & Bndry_mask1) == Bndry_mask1 |
||
| 900 | && dword1(rv) == ( |
||
| 901 | #ifdef Avoid_Underflow |
||
| 902 | (scale && (y = dword0(rv) & Exp_mask) <= 2*P*Exp_msk1) |
||
| 903 | ? (0xffffffff & (0xffffffff << (2*P+1-(y>>Exp_shift)))) : |
||
| 904 | #endif |
||
| 905 | 0xffffffff)) { |
||
| 906 | /*boundary case -- increment exponent*/ |
||
| 907 | dword0(rv) = (dword0(rv) & Exp_mask) |
||
| 908 | + Exp_msk1 |
||
| 909 | #ifdef IBM |
||
| 910 | | Exp_msk1 >> 4 |
||
| 911 | #endif |
||
| 912 | ; |
||
| 913 | #ifndef _DOUBLE_IS_32BITS |
||
| 914 | dword1(rv) = 0; |
||
| 915 | #endif /*!_DOUBLE_IS_32BITS*/ |
||
| 916 | #ifdef Avoid_Underflow |
||
| 917 | dsign = 0; |
||
| 918 | #endif |
||
| 919 | break; |
||
| 920 | } |
||
| 921 | } |
||
| 922 | else if (!(dword0(rv) & Bndry_mask) && !dword1(rv)) { |
||
| 923 | drop_down: |
||
| 924 | /* boundary case -- decrement exponent */ |
||
| 925 | #ifdef Sudden_Underflow /*{{*/ |
||
| 926 | L = dword0(rv) & Exp_mask; |
||
| 927 | #ifdef IBM |
||
| 928 | if (L < Exp_msk1) |
||
| 929 | #else |
||
| 930 | #ifdef Avoid_Underflow |
||
| 931 | if (L <= (scale ? (2*P+1)*Exp_msk1 : Exp_msk1)) |
||
| 932 | #else |
||
| 933 | if (L <= Exp_msk1) |
||
| 934 | #endif /*Avoid_Underflow*/ |
||
| 935 | #endif /*IBM*/ |
||
| 936 | goto undfl; |
||
| 937 | L -= Exp_msk1; |
||
| 938 | #else /*Sudden_Underflow}{*/ |
||
| 939 | #ifdef Avoid_Underflow |
||
| 940 | if (scale) { |
||
| 941 | L = dword0(rv) & Exp_mask; |
||
| 942 | if (L <= (2*P+1)*Exp_msk1) { |
||
| 943 | if (L > (P+2)*Exp_msk1) |
||
| 944 | /* round even ==> */ |
||
| 945 | /* accept rv */ |
||
| 946 | break; |
||
| 947 | /* rv = smallest denormal */ |
||
| 948 | goto undfl; |
||
| 949 | } |
||
| 950 | } |
||
| 951 | #endif /*Avoid_Underflow*/ |
||
| 952 | L = (dword0(rv) & Exp_mask) - Exp_msk1; |
||
| 953 | #endif /*Sudden_Underflow}*/ |
||
| 954 | dword0(rv) = L | Bndry_mask1; |
||
| 955 | #ifndef _DOUBLE_IS_32BITS |
||
| 956 | dword1(rv) = 0xffffffff; |
||
| 957 | #endif /*!_DOUBLE_IS_32BITS*/ |
||
| 958 | #ifdef IBM |
||
| 959 | goto cont; |
||
| 960 | #else |
||
| 961 | break; |
||
| 962 | #endif |
||
| 963 | } |
||
| 964 | #ifndef ROUND_BIASED |
||
| 965 | if (!(dword1(rv) & LSB)) |
||
| 966 | break; |
||
| 967 | #endif |
||
| 968 | if (dsign) |
||
| 969 | dval(rv) += ulp(dval(rv)); |
||
| 970 | #ifndef ROUND_BIASED |
||
| 971 | else { |
||
| 972 | dval(rv) -= ulp(dval(rv)); |
||
| 973 | #ifndef Sudden_Underflow |
||
| 974 | if (!dval(rv)) |
||
| 975 | goto undfl; |
||
| 976 | #endif |
||
| 977 | } |
||
| 978 | #ifdef Avoid_Underflow |
||
| 979 | dsign = 1 - dsign; |
||
| 980 | #endif |
||
| 981 | #endif |
||
| 982 | break; |
||
| 983 | } |
||
| 984 | if ((aadj = ratio(delta, bs)) <= 2.) { |
||
| 985 | if (dsign) |
||
| 986 | aadj = dval(aadj1) = 1.; |
||
| 987 | else if (dword1(rv) || dword0(rv) & Bndry_mask) { |
||
| 988 | #ifndef Sudden_Underflow |
||
| 989 | if (dword1(rv) == Tiny1 && !dword0(rv)) |
||
| 990 | goto undfl; |
||
| 991 | #endif |
||
| 992 | aadj = 1.; |
||
| 993 | dval(aadj1) = -1.; |
||
| 994 | } |
||
| 995 | else { |
||
| 996 | /* special case -- power of FLT_RADIX to be */ |
||
| 997 | /* rounded down... */ |
||
| 998 | |||
| 999 | if (aadj < 2./FLT_RADIX) |
||
| 1000 | aadj = 1./FLT_RADIX; |
||
| 1001 | else |
||
| 1002 | aadj *= 0.5; |
||
| 1003 | dval(aadj1) = -aadj; |
||
| 1004 | } |
||
| 1005 | } |
||
| 1006 | else { |
||
| 1007 | aadj *= 0.5; |
||
| 1008 | dval(aadj1) = dsign ? aadj : -aadj; |
||
| 1009 | #ifdef Check_FLT_ROUNDS |
||
| 1010 | switch(Rounding) { |
||
| 1011 | case 2: /* towards +infinity */ |
||
| 1012 | dval(aadj1) -= 0.5; |
||
| 1013 | break; |
||
| 1014 | case 0: /* towards 0 */ |
||
| 1015 | case 3: /* towards -infinity */ |
||
| 1016 | dval(aadj1) += 0.5; |
||
| 1017 | } |
||
| 1018 | #else |
||
| 1019 | if (Flt_Rounds == 0) |
||
| 1020 | dval(aadj1) += 0.5; |
||
| 1021 | #endif /*Check_FLT_ROUNDS*/ |
||
| 1022 | } |
||
| 1023 | y = dword0(rv) & Exp_mask; |
||
| 1024 | |||
| 1025 | /* Check for overflow */ |
||
| 1026 | |||
| 1027 | if (y == Exp_msk1*(DBL_MAX_EXP+Bias-1)) { |
||
| 1028 | dval(rv0) = dval(rv); |
||
| 1029 | dword0(rv) -= P*Exp_msk1; |
||
| 1030 | adj = dval(aadj1) * ulp(dval(rv)); |
||
| 1031 | dval(rv) += adj; |
||
| 1032 | if ((dword0(rv) & Exp_mask) >= |
||
| 1033 | Exp_msk1*(DBL_MAX_EXP+Bias-P)) { |
||
| 1034 | if (dword0(rv0) == Big0 && dword1(rv0) == Big1) |
||
| 1035 | goto ovfl; |
||
| 1036 | dword0(rv) = Big0; |
||
| 1037 | #ifndef _DOUBLE_IS_32BITS |
||
| 1038 | dword1(rv) = Big1; |
||
| 1039 | #endif /*!_DOUBLE_IS_32BITS*/ |
||
| 1040 | goto cont; |
||
| 1041 | } |
||
| 1042 | else |
||
| 1043 | dword0(rv) += P*Exp_msk1; |
||
| 1044 | } |
||
| 1045 | else { |
||
| 1046 | #ifdef Avoid_Underflow |
||
| 1047 | if (scale && y <= 2*P*Exp_msk1) { |
||
| 1048 | if (aadj <= 0x7fffffff) { |
||
| 1049 | if ((z = aadj) <= 0) |
||
| 1050 | z = 1; |
||
| 1051 | aadj = z; |
||
| 1052 | dval(aadj1) = dsign ? aadj : -aadj; |
||
| 1053 | } |
||
| 1054 | dword0(aadj1) += (2*P+1)*Exp_msk1 - y; |
||
| 1055 | } |
||
| 1056 | adj = dval(aadj1) * ulp(dval(rv)); |
||
| 1057 | dval(rv) += adj; |
||
| 1058 | #else |
||
| 1059 | #ifdef Sudden_Underflow |
||
| 1060 | if ((dword0(rv) & Exp_mask) <= P*Exp_msk1) { |
||
| 1061 | dval(rv0) = dval(rv); |
||
| 1062 | dword0(rv) += P*Exp_msk1; |
||
| 1063 | adj = dval(aadj1) * ulp(dval(rv)); |
||
| 1064 | dval(rv) += adj; |
||
| 1065 | #ifdef IBM |
||
| 1066 | if ((dword0(rv) & Exp_mask) < P*Exp_msk1) |
||
| 1067 | #else |
||
| 1068 | if ((dword0(rv) & Exp_mask) <= P*Exp_msk1) |
||
| 1069 | #endif |
||
| 1070 | { |
||
| 1071 | if (dword0(rv0) == Tiny0 |
||
| 1072 | && dword1(rv0) == Tiny1) |
||
| 1073 | goto undfl; |
||
| 1074 | #ifndef _DOUBLE_IS_32BITS |
||
| 1075 | dword0(rv) = Tiny0; |
||
| 1076 | dword1(rv) = Tiny1; |
||
| 1077 | #else |
||
| 1078 | dword0(rv) = Tiny1; |
||
| 1079 | #endif /*_DOUBLE_IS_32BITS*/ |
||
| 1080 | goto cont; |
||
| 1081 | } |
||
| 1082 | else |
||
| 1083 | dword0(rv) -= P*Exp_msk1; |
||
| 1084 | } |
||
| 1085 | else { |
||
| 1086 | adj = dval(aadj1) * ulp(dval(rv)); |
||
| 1087 | dval(rv) += adj; |
||
| 1088 | } |
||
| 1089 | #else /*Sudden_Underflow*/ |
||
| 1090 | /* Compute adj so that the IEEE rounding rules will |
||
| 1091 | * correctly round rv + adj in some half-way cases. |
||
| 1092 | * If rv * ulp(rv) is denormalized (i.e., |
||
| 1093 | * y <= (P-1)*Exp_msk1), we must adjust aadj to avoid |
||
| 1094 | * trouble from bits lost to denormalization; |
||
| 1095 | * example: 1.2e-307 . |
||
| 1096 | */ |
||
| 1097 | if (y <= (P-1)*Exp_msk1 && aadj > 1.) { |
||
| 1098 | dval(aadj1) = (double)(int)(aadj + 0.5); |
||
| 1099 | if (!dsign) |
||
| 1100 | dval(aadj1) = -dval(aadj1); |
||
| 1101 | } |
||
| 1102 | adj = dval(aadj1) * ulp(dval(rv)); |
||
| 1103 | dval(rv) += adj; |
||
| 1104 | #endif /*Sudden_Underflow*/ |
||
| 1105 | #endif /*Avoid_Underflow*/ |
||
| 1106 | } |
||
| 1107 | z = dword0(rv) & Exp_mask; |
||
| 1108 | #ifndef SET_INEXACT |
||
| 1109 | #ifdef Avoid_Underflow |
||
| 1110 | if (!scale) |
||
| 1111 | #endif |
||
| 1112 | if (y == z) { |
||
| 1113 | /* Can we stop now? */ |
||
| 1114 | L = (Long)aadj; |
||
| 1115 | aadj -= L; |
||
| 1116 | /* The tolerances below are conservative. */ |
||
| 1117 | if (dsign || dword1(rv) || dword0(rv) & Bndry_mask) { |
||
| 1118 | if (aadj < .4999999 || aadj > .5000001) |
||
| 1119 | break; |
||
| 1120 | } |
||
| 1121 | else if (aadj < .4999999/FLT_RADIX) |
||
| 1122 | break; |
||
| 1123 | } |
||
| 1124 | #endif |
||
| 1125 | cont: |
||
| 1126 | Bfree(ptr,bb); |
||
| 1127 | Bfree(ptr,bd); |
||
| 1128 | Bfree(ptr,bs); |
||
| 1129 | Bfree(ptr,delta); |
||
| 1130 | } |
||
| 1131 | #ifdef SET_INEXACT |
||
| 1132 | if (inexact) { |
||
| 1133 | if (!oldinexact) { |
||
| 1134 | dword0(rv0) = Exp_1 + (70 << Exp_shift); |
||
| 1135 | #ifndef _DOUBLE_IS_32BITS |
||
| 1136 | dword1(rv0) = 0; |
||
| 1137 | #endif /*!_DOUBLE_IS_32BITS*/ |
||
| 1138 | dval(rv0) += 1.; |
||
| 1139 | } |
||
| 1140 | } |
||
| 1141 | else if (!oldinexact) |
||
| 1142 | clear_inexact(); |
||
| 1143 | #endif |
||
| 1144 | #ifdef Avoid_Underflow |
||
| 1145 | if (scale) { |
||
| 1146 | dword0(rv0) = Exp_1 - 2*P*Exp_msk1; |
||
| 1147 | #ifndef _DOUBLE_IS_32BITS |
||
| 1148 | dword1(rv0) = 0; |
||
| 1149 | #endif /*!_DOUBLE_IS_32BITS*/ |
||
| 1150 | dval(rv) *= dval(rv0); |
||
| 1151 | #ifndef NO_ERRNO |
||
| 1152 | /* try to avoid the bug of testing an 8087 register value */ |
||
| 1153 | if (dword0(rv) == 0 && dword1(rv) == 0) |
||
| 1154 | ptr->_errno = ERANGE; |
||
| 1155 | #endif |
||
| 1156 | } |
||
| 1157 | #endif /* Avoid_Underflow */ |
||
| 1158 | #ifdef SET_INEXACT |
||
| 1159 | if (inexact && !(dword0(rv) & Exp_mask)) { |
||
| 1160 | /* set underflow bit */ |
||
| 1161 | dval(rv0) = 1e-300; |
||
| 1162 | dval(rv0) *= dval(rv0); |
||
| 1163 | } |
||
| 1164 | #endif |
||
| 1165 | retfree: |
||
| 1166 | Bfree(ptr,bb); |
||
| 1167 | Bfree(ptr,bd); |
||
| 1168 | Bfree(ptr,bs); |
||
| 1169 | Bfree(ptr,bd0); |
||
| 1170 | Bfree(ptr,delta); |
||
| 1171 | ret: |
||
| 1172 | if (se) |
||
| 1173 | *se = (char *)s; |
||
| 1174 | return sign ? -dval(rv) : dval(rv); |
||
| 1175 | } |
||
| 1176 | |||
| 1177 | #ifndef _REENT_ONLY |
||
| 1178 | |||
| 1179 | double |
||
| 1180 | _DEFUN (strtod, (s00, se), |
||
| 1181 | _CONST char *s00 _AND char **se) |
||
| 1182 | { |
||
| 1183 | return _strtod_r (_REENT, s00, se); |
||
| 1184 | } |
||
| 1185 | |||
| 1186 | float |
||
| 1187 | _DEFUN (strtof, (s00, se), |
||
| 1188 | _CONST char *s00 _AND |
||
| 1189 | char **se) |
||
| 1190 | { |
||
| 1191 | double retval = _strtod_r (_REENT, s00, se); |
||
| 1192 | if (isnan (retval)) |
||
| 1193 | return nanf (NULL); |
||
| 1194 | return (float)retval; |
||
| 1195 | } |
||
| 1196 | |||
| 1197 | #endif |