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      1 /*
      2  * Copyright (c) 1999
      3  * Silicon Graphics Computer Systems, Inc.
      4  *
      5  * Copyright (c) 1999
      6  * Boris Fomitchev
      7  *
      8  * This material is provided "as is", with absolutely no warranty expressed
      9  * or implied. Any use is at your own risk.
     10  *
     11  * Permission to use or copy this software for any purpose is hereby granted
     12  * without fee, provided the above notices are retained on all copies.
     13  * Permission to modify the code and to distribute modified code is granted,
     14  * provided the above notices are retained, and a notice that the code was
     15  * modified is included with the above copyright notice.
     16  *
     17  */
     18 
     19 #include "stlport_prefix.h"
     20 
     21 #include <limits>
     22 #include <locale>
     23 #include <istream>
     24 
     25 #if (defined (__GNUC__) && !defined (__sun) && !defined (__hpux)) || \
     26     defined (__DMC__)
     27 #  include <stdint.h>
     28 #endif
     29 
     30 #if defined (__linux__) || defined (__MINGW32__) || defined (__CYGWIN__) || \
     31     defined (__BORLANDC__) || defined (__DMC__) || defined (__HP_aCC)
     32 
     33 #  if defined (__BORLANDC__)
     34 typedef unsigned int uint32_t;
     35 typedef unsigned __int64 uint64_t;
     36 #  endif
     37 
     38 union _ll {
     39   uint64_t i64;
     40   struct {
     41 #  if defined (_STLP_BIG_ENDIAN)
     42     uint32_t hi;
     43     uint32_t lo;
     44 #  elif defined (_STLP_LITTLE_ENDIAN)
     45     uint32_t lo;
     46     uint32_t hi;
     47 #  else
     48 #    error Unknown endianess
     49 #  endif
     50   } i32;
     51 };
     52 
     53 #  if defined (__linux__) && !defined (ANDROID)
     54 #    include <ieee754.h>
     55 #  else
     56 union ieee854_long_double {
     57   long double d;
     58 
     59   /* This is the IEEE 854 double-extended-precision format.  */
     60   struct {
     61     unsigned int mantissa1:32;
     62     unsigned int mantissa0:32;
     63     unsigned int exponent:15;
     64     unsigned int negative:1;
     65     unsigned int empty:16;
     66   } ieee;
     67 };
     68 
     69 #    define IEEE854_LONG_DOUBLE_BIAS 0x3fff
     70 #  endif
     71 #endif
     72 
     73 _STLP_BEGIN_NAMESPACE
     74 _STLP_MOVE_TO_PRIV_NAMESPACE
     75 
     76 //----------------------------------------------------------------------
     77 // num_get
     78 
     79 // Helper functions for _M_do_get_float.
     80 
     81 #if !defined (_STLP_NO_WCHAR_T)
     82 void  _STLP_CALL
     83 _Initialize_get_float( const ctype<wchar_t>& ct,
     84                        wchar_t& Plus, wchar_t& Minus,
     85                        wchar_t& pow_e, wchar_t& pow_E,
     86                        wchar_t* digits) {
     87   char ndigits[11] = "0123456789";
     88   Plus  = ct.widen('+');
     89   Minus = ct.widen('-');
     90   pow_e = ct.widen('e');
     91   pow_E = ct.widen('E');
     92   ct.widen(ndigits + 0, ndigits + 10, digits);
     93 }
     94 #endif /* WCHAR_T */
     95 
     96 /*
     97  * __string_to_double is just lifted from atof, the difference being
     98  * that we just use '.' for the decimal point, rather than let it
     99  * be taken from the current C locale, which of course is not accessible
    100  * to us.
    101  */
    102 #if defined (_STLP_MSVC) || defined (__BORLANDC__) || defined (__ICL)
    103 typedef unsigned long uint32;
    104 typedef unsigned __int64 uint64;
    105 #  define ULL(x) x##Ui64
    106 #elif defined (__unix) || defined (__MINGW32__) || \
    107       (defined (__DMC__) && (__LONGLONG)) || defined (__WATCOMC__) || \
    108       defined (ANDROID)
    109 typedef uint32_t uint32;
    110 typedef uint64_t uint64;
    111 #  define ULL(x) x##ULL
    112 #else
    113 #  error There should be some unsigned 64-bit integer on the system!
    114 #endif
    115 
    116 // Multiplication of two 64-bit integers, giving a 128-bit result.
    117 // Taken from Algorithm M in Knuth section 4.3.1, with the loop
    118 // hand-unrolled.
    119 static void _Stl_mult64(const uint64 u, const uint64 v,
    120                         uint64& high, uint64& low) {
    121   const uint64 low_mask = ULL(0xffffffff);
    122   const uint64 u0 = u & low_mask;
    123   const uint64 u1 = u >> 32;
    124   const uint64 v0 = v & low_mask;
    125   const uint64 v1 = v >> 32;
    126 
    127   uint64 t = u0 * v0;
    128   low = t & low_mask;
    129 
    130   t = u1 * v0 + (t >> 32);
    131   uint64 w1 = t & low_mask;
    132   uint64 w2 = t >> 32;
    133 
    134   uint64 x = u0 * v1 + w1;
    135   low += (x & low_mask) << 32;
    136   high = u1 * v1 + w2 + (x >> 32);
    137 }
    138 
    139 #if !defined (__linux__) || defined (ANDROID)
    140 
    141 #  define bit11 ULL(0x7ff)
    142 #  define exponent_mask (bit11 << 52)
    143 
    144 #  if !defined (__GNUC__) || (__GNUC__ != 3) || (__GNUC_MINOR__ != 4) || \
    145       (!defined (__CYGWIN__) && !defined (__MINGW32__))
    146 //Generate bad code when compiled with -O2 option.
    147 inline
    148 #  endif
    149 void _Stl_set_exponent(uint64 &val, uint64 exp)
    150 { val = (val & ~exponent_mask) | ((exp & bit11) << 52); }
    151 
    152 #endif // __linux__
    153 
    154 /* Power of ten fractions for tenscale*/
    155 /* The constants are factored so that at most two constants
    156  * and two multiplies are needed. Furthermore, one of the constants
    157  * is represented exactly - 10**n where 1<= n <= 27.
    158  */
    159 
    160 static const uint64 _Stl_tenpow[80] = {
    161 ULL(0xa000000000000000), /* _Stl_tenpow[0]=(10**1)/(2**4) */
    162 ULL(0xc800000000000000), /* _Stl_tenpow[1]=(10**2)/(2**7) */
    163 ULL(0xfa00000000000000), /* _Stl_tenpow[2]=(10**3)/(2**10) */
    164 ULL(0x9c40000000000000), /* _Stl_tenpow[3]=(10**4)/(2**14) */
    165 ULL(0xc350000000000000), /* _Stl_tenpow[4]=(10**5)/(2**17) */
    166 ULL(0xf424000000000000), /* _Stl_tenpow[5]=(10**6)/(2**20) */
    167 ULL(0x9896800000000000), /* _Stl_tenpow[6]=(10**7)/(2**24) */
    168 ULL(0xbebc200000000000), /* _Stl_tenpow[7]=(10**8)/(2**27) */
    169 ULL(0xee6b280000000000), /* _Stl_tenpow[8]=(10**9)/(2**30) */
    170 ULL(0x9502f90000000000), /* _Stl_tenpow[9]=(10**10)/(2**34) */
    171 ULL(0xba43b74000000000), /* _Stl_tenpow[10]=(10**11)/(2**37) */
    172 ULL(0xe8d4a51000000000), /* _Stl_tenpow[11]=(10**12)/(2**40) */
    173 ULL(0x9184e72a00000000), /* _Stl_tenpow[12]=(10**13)/(2**44) */
    174 ULL(0xb5e620f480000000), /* _Stl_tenpow[13]=(10**14)/(2**47) */
    175 ULL(0xe35fa931a0000000), /* _Stl_tenpow[14]=(10**15)/(2**50) */
    176 ULL(0x8e1bc9bf04000000), /* _Stl_tenpow[15]=(10**16)/(2**54) */
    177 ULL(0xb1a2bc2ec5000000), /* _Stl_tenpow[16]=(10**17)/(2**57) */
    178 ULL(0xde0b6b3a76400000), /* _Stl_tenpow[17]=(10**18)/(2**60) */
    179 ULL(0x8ac7230489e80000), /* _Stl_tenpow[18]=(10**19)/(2**64) */
    180 ULL(0xad78ebc5ac620000), /* _Stl_tenpow[19]=(10**20)/(2**67) */
    181 ULL(0xd8d726b7177a8000), /* _Stl_tenpow[20]=(10**21)/(2**70) */
    182 ULL(0x878678326eac9000), /* _Stl_tenpow[21]=(10**22)/(2**74) */
    183 ULL(0xa968163f0a57b400), /* _Stl_tenpow[22]=(10**23)/(2**77) */
    184 ULL(0xd3c21bcecceda100), /* _Stl_tenpow[23]=(10**24)/(2**80) */
    185 ULL(0x84595161401484a0), /* _Stl_tenpow[24]=(10**25)/(2**84) */
    186 ULL(0xa56fa5b99019a5c8), /* _Stl_tenpow[25]=(10**26)/(2**87) */
    187 ULL(0xcecb8f27f4200f3a), /* _Stl_tenpow[26]=(10**27)/(2**90) */
    188 
    189 ULL(0xd0cf4b50cfe20766), /* _Stl_tenpow[27]=(10**55)/(2**183) */
    190 ULL(0xd2d80db02aabd62c), /* _Stl_tenpow[28]=(10**83)/(2**276) */
    191 ULL(0xd4e5e2cdc1d1ea96), /* _Stl_tenpow[29]=(10**111)/(2**369) */
    192 ULL(0xd6f8d7509292d603), /* _Stl_tenpow[30]=(10**139)/(2**462) */
    193 ULL(0xd910f7ff28069da4), /* _Stl_tenpow[31]=(10**167)/(2**555) */
    194 ULL(0xdb2e51bfe9d0696a), /* _Stl_tenpow[32]=(10**195)/(2**648) */
    195 ULL(0xdd50f1996b947519), /* _Stl_tenpow[33]=(10**223)/(2**741) */
    196 ULL(0xdf78e4b2bd342cf7), /* _Stl_tenpow[34]=(10**251)/(2**834) */
    197 ULL(0xe1a63853bbd26451), /* _Stl_tenpow[35]=(10**279)/(2**927) */
    198 ULL(0xe3d8f9e563a198e5), /* _Stl_tenpow[36]=(10**307)/(2**1020) */
    199 
    200 // /* _Stl_tenpow[36]=(10**335)/(2**) */
    201 // /* _Stl_tenpow[36]=(10**335)/(2**) */
    202 
    203 ULL(0xfd87b5f28300ca0e), /* _Stl_tenpow[37]=(10**-28)/(2**-93) */
    204 ULL(0xfb158592be068d2f), /* _Stl_tenpow[38]=(10**-56)/(2**-186) */
    205 ULL(0xf8a95fcf88747d94), /* _Stl_tenpow[39]=(10**-84)/(2**-279) */
    206 ULL(0xf64335bcf065d37d), /* _Stl_tenpow[40]=(10**-112)/(2**-372) */
    207 ULL(0xf3e2f893dec3f126), /* _Stl_tenpow[41]=(10**-140)/(2**-465) */
    208 ULL(0xf18899b1bc3f8ca2), /* _Stl_tenpow[42]=(10**-168)/(2**-558) */
    209 ULL(0xef340a98172aace5), /* _Stl_tenpow[43]=(10**-196)/(2**-651) */
    210 ULL(0xece53cec4a314ebe), /* _Stl_tenpow[44]=(10**-224)/(2**-744) */
    211 ULL(0xea9c227723ee8bcb), /* _Stl_tenpow[45]=(10**-252)/(2**-837)     */
    212 ULL(0xe858ad248f5c22ca), /* _Stl_tenpow[46]=(10**-280)/(2**-930) */
    213 ULL(0xe61acf033d1a45df), /* _Stl_tenpow[47]=(10**-308)/(2**-1023)    */
    214 ULL(0xe3e27a444d8d98b8), /* _Stl_tenpow[48]=(10**-336)/(2**-1116) */
    215 ULL(0xe1afa13afbd14d6e)  /* _Stl_tenpow[49]=(10**-364)/(2**-1209) */
    216 };
    217 
    218 static const short _Stl_twoexp[80] = {
    219 4,7,10,14,17,20,24,27,30,34,37,40,44,47,50,54,57,60,64,67,70,74,77,80,84,87,90,
    220 183,276,369,462,555,648,741,834,927,1020,
    221 -93,-186,-279,-372,-465,-558,-651,-744,-837,-930,-1023,-1116,-1209
    222 };
    223 
    224 #define  TEN_1  0           /* offset to 10 **   1 */
    225 #define  TEN_27   26        /* offset to 10 **  27 */
    226 #define  TEN_M28  37        /* offset to 10 ** -28 */
    227 #define  NUM_HI_P 11
    228 #define  NUM_HI_N 13
    229 
    230 #define _Stl_HIBITULL (ULL(1) << 63)
    231 
    232 static void _Stl_norm_and_round(uint64& p, int& norm, uint64 prodhi, uint64 prodlo) {
    233   norm = 0;
    234   if ((prodhi & _Stl_HIBITULL) == 0) {
    235                                 /* leading bit is a zero
    236                                  * may have to normalize
    237                                  */
    238     if ((prodhi == ~_Stl_HIBITULL) &&
    239         ((prodlo >> 62) == 0x3)) {  /* normalization followed by round
    240                                      * would cause carry to create
    241                                      * extra bit, so don't normalize
    242                                      */
    243       p = _Stl_HIBITULL;
    244       return;
    245     }
    246     p = (prodhi << 1) | (prodlo >> 63); /* normalize */
    247     norm = 1;
    248     prodlo <<= 1;
    249   }
    250   else {
    251     p = prodhi;
    252   }
    253 
    254   if ((prodlo & _Stl_HIBITULL) != 0) {     /* first guard bit a one */
    255     if (((p & 0x1) != 0) ||
    256         prodlo != _Stl_HIBITULL ) {    /* not borderline for round to even */
    257       /* round */
    258       ++p;
    259       if (p == 0)
    260         ++p;
    261     }
    262   }
    263 }
    264 
    265 // Convert a 64-bitb fraction * 10^exp to a 64-bit fraction * 2^bexp.
    266 // p:    64-bit fraction
    267 // exp:  base-10 exponent
    268 // bexp: base-2 exponent (output parameter)
    269 static void _Stl_tenscale(uint64& p, int exp, int& bexp) {
    270   bexp = 0;
    271 
    272   if ( exp == 0 ) {              /* no scaling needed */
    273     return;
    274   }
    275 
    276   int exp_hi = 0, exp_lo = exp; /* exp = exp_hi*32 + exp_lo */
    277   int tlo = TEN_1, thi;         /* offsets in power of ten table */
    278   int num_hi;                   /* number of high exponent powers */
    279 
    280   if (exp > 0) {                /* split exponent */
    281     if (exp_lo > 27) {
    282       exp_lo++;
    283       while (exp_lo > 27) {
    284         exp_hi++;
    285         exp_lo -= 28;
    286       }
    287     }
    288     thi = TEN_27;
    289     num_hi = NUM_HI_P;
    290   } else { // exp < 0
    291     while (exp_lo < 0) {
    292       exp_hi++;
    293       exp_lo += 28;
    294     }
    295     thi = TEN_M28;
    296     num_hi = NUM_HI_N;
    297   }
    298 
    299   uint64 prodhi, prodlo;        /* 128b product */
    300   int norm;                     /* number of bits of normalization */
    301 
    302   int hi, lo;                   /* offsets in power of ten table */
    303   while (exp_hi) {              /* scale */
    304     hi = (min) (exp_hi, num_hi);    /* only a few large powers of 10 */
    305     exp_hi -= hi;               /* could iterate in extreme case */
    306     hi += thi-1;
    307     _Stl_mult64(p, _Stl_tenpow[hi], prodhi, prodlo);
    308     _Stl_norm_and_round(p, norm, prodhi, prodlo);
    309     bexp += _Stl_twoexp[hi] - norm;
    310   }
    311 
    312   if (exp_lo) {
    313     lo = tlo + exp_lo -1;
    314     _Stl_mult64(p, _Stl_tenpow[lo], prodhi, prodlo);
    315     _Stl_norm_and_round(p, norm, prodhi, prodlo);
    316     bexp += _Stl_twoexp[lo] - norm;
    317   }
    318 
    319   return;
    320 }
    321 
    322 // First argument is a buffer of values from 0 to 9, NOT ascii.
    323 // Second argument is number of digits in buffer, 1 <= digits <= 17.
    324 // Third argument is base-10 exponent.
    325 
    326 /* IEEE representation */
    327 #if !defined (__linux__) || defined (ANDROID)
    328 
    329 union _Double_rep {
    330   uint64 ival;
    331   double val;
    332 };
    333 
    334 static double _Stl_atod(char *buffer, ptrdiff_t ndigit, int dexp) {
    335   typedef numeric_limits<double> limits;
    336   _Double_rep drep;
    337   uint64 &value = drep.ival;  /* Value develops as follows:
    338                                  * 1) decimal digits as an integer
    339                                  * 2) left adjusted fraction
    340                                  * 3) right adjusted fraction
    341                                  * 4) exponent and fraction
    342                                  */
    343 
    344   uint32 guard;         /* First guard bit */
    345   uint64 rest;          /* Remaining guard bits */
    346 
    347   int bexp;             /* binary exponent */
    348   int nzero;            /* number of non-zero bits */
    349   int sexp;             /* scaling exponent */
    350 
    351   char *bufferend;              /* pointer to char after last digit */
    352 
    353   /* Convert the decimal digits to a binary integer. */
    354   bufferend = buffer + ndigit;
    355   value = 0;
    356 
    357   while (buffer < bufferend) {
    358     value *= 10;
    359     value += *buffer++;
    360   }
    361 
    362   /* Check for zero and treat it as a special case */
    363   if (value == 0) {
    364     return 0.0;
    365   }
    366 
    367   /* Normalize value */
    368   bexp = 64;                    /* convert from 64b int to fraction */
    369 
    370   /* Count number of non-zeroes in value */
    371   nzero = 0;
    372   if ((value >> 32) != 0) { nzero  = 32; }    //*TY 03/25/2000 - added explicit comparison to zero to avoid uint64 to bool conversion operator
    373   if ((value >> (16 + nzero)) != 0) { nzero += 16; }
    374   if ((value >> ( 8 + nzero)) != 0) { nzero +=  8; }
    375   if ((value >> ( 4 + nzero)) != 0) { nzero +=  4; }
    376   if ((value >> ( 2 + nzero)) != 0) { nzero +=  2; }
    377   if ((value >> ( 1 + nzero)) != 0) { nzero +=  1; }
    378   if ((value >> (     nzero)) != 0) { nzero +=  1; }
    379 
    380   /* Normalize */
    381   value <<= /*(uint64)*/ (64 - nzero);    //*TY 03/25/2000 - removed extraneous cast to uint64
    382   bexp -= 64 - nzero;
    383 
    384   /* At this point we have a 64b fraction and a binary exponent
    385    * but have yet to incorporate the decimal exponent.
    386    */
    387 
    388   /* multiply by 10^dexp */
    389   _Stl_tenscale(value, dexp, sexp);
    390   bexp += sexp;
    391 
    392   if (bexp <= -1022) {          /* HI denorm or underflow */
    393     bexp += 1022;
    394     if (bexp < -53) {          /* guaranteed underflow */
    395       value = 0;
    396     }
    397     else {                      /* denorm or possible underflow */
    398       int lead0 = 12 - bexp;          /* 12 sign and exponent bits */
    399 
    400       /* we must special case right shifts of more than 63 */
    401       if (lead0 > 64) {
    402         rest = value;
    403         guard = 0;
    404         value = 0;
    405       }
    406       else if (lead0 == 64) {
    407         rest = value & ((ULL(1)<< 63)-1);
    408         guard = (uint32) ((value>> 63) & 1 );
    409         value = 0;
    410       }
    411       else {
    412         rest = value & (((ULL(1) << lead0)-1)-1);
    413         guard = (uint32) (((value>> lead0)-1) & 1);
    414         value >>= /*(uint64)*/ lead0; /* exponent is zero */
    415       }
    416 
    417       /* Round */
    418       if (guard && ((value & 1) || rest) ) {
    419         ++value;
    420         if (value == (ULL(1) << (limits::digits - 1))) { /* carry created normal number */
    421           value = 0;
    422           _Stl_set_exponent(value, 1);
    423         }
    424       }
    425     }
    426   }
    427   else {                        /* not zero or denorm */
    428     /* Round to 53 bits */
    429     rest = value & ((1 << 10) - 1);
    430     value >>= 10;
    431     guard = (uint32) value & 1;
    432     value >>= 1;
    433 
    434     /*  value&1 guard   rest    Action
    435      *
    436      *  dc      0       dc      none
    437      *  1       1       dc      round
    438      *  0       1       0       none
    439      *  0       1       !=0     round
    440      */
    441     if (guard) {
    442       if (((value&1)!=0) || (rest!=0)) {
    443         ++value;                        /* round */
    444         if ((value >> 53) != 0) {       /* carry all the way across */
    445           value >>= 1;          /* renormalize */
    446           ++bexp;
    447         }
    448       }
    449     }
    450     /*
    451      * Check for overflow
    452      * IEEE Double Precision Format
    453      * (From Table 7-8 of Kane and Heinrich)
    454      *
    455      * Fraction bits               52
    456      * Emax                     +1023
    457      * Emin                     -1022
    458      * Exponent bias            +1023
    459      * Exponent bits               11
    460      * Integer bit             hidden
    461      * Total width in bits         64
    462      */
    463 
    464     if (bexp > limits::max_exponent) {          /* overflow */
    465       return limits::infinity();
    466     }
    467     else {                      /* value is normal */
    468       value &= ~(ULL(1) << (limits::digits - 1));   /* hide hidden bit */
    469       _Stl_set_exponent(value, bexp + 1022); /* add bias */
    470     }
    471   }
    472 
    473   _STLP_STATIC_ASSERT(sizeof(uint64) >= sizeof(double))
    474   return drep.val;
    475 }
    476 
    477 #endif
    478 
    479 #if defined (__linux__) || defined (__MINGW32__) || defined (__CYGWIN__) || \
    480     defined (__BORLANDC__) || defined (__DMC__) || defined (__HP_aCC)
    481 
    482 template <class D, class IEEE, int M, int BIAS>
    483 D _Stl_atodT(char *buffer, ptrdiff_t ndigit, int dexp)
    484 {
    485   typedef numeric_limits<D> limits;
    486 
    487   /* Convert the decimal digits to a binary integer. */
    488   char *bufferend = buffer + ndigit; /* pointer to char after last digit */
    489   _ll vv;
    490   vv.i64 = 0L;
    491 
    492   while ( buffer < bufferend ) {
    493     vv.i64 *= 10;
    494     vv.i64 += *buffer++;
    495   }
    496 
    497   if ( vv.i64 == ULL(0) ) { /* Check for zero and treat it as a special case */
    498     return D(0.0);
    499   }
    500 
    501   /* Normalize value */
    502 
    503   int bexp = 64; /* convert from 64b int to fraction */
    504 
    505   /* Count number of non-zeroes in value */
    506   int nzero = 0;
    507   if ((vv.i64 >> 32) != 0) { nzero = 32; }
    508   if ((vv.i64 >> (16 + nzero)) != 0) { nzero += 16; }
    509   if ((vv.i64 >> ( 8 + nzero)) != 0) { nzero +=  8; }
    510   if ((vv.i64 >> ( 4 + nzero)) != 0) { nzero +=  4; }
    511   if ((vv.i64 >> ( 2 + nzero)) != 0) { nzero +=  2; }
    512   if ((vv.i64 >> ( 1 + nzero)) != 0) { nzero +=  1; }
    513   if ((vv.i64 >> (     nzero)) != 0) { nzero +=  1; }
    514 
    515   /* Normalize */
    516   nzero = 64 - nzero;
    517   vv.i64 <<= nzero;    // * TY 03/25/2000 - removed extraneous cast to uint64
    518   bexp -= nzero;
    519 
    520   /* At this point we have a 64b fraction and a binary exponent
    521    * but have yet to incorporate the decimal exponent.
    522    */
    523 
    524   /* multiply by 10^dexp */
    525   int sexp;
    526   _Stl_tenscale(vv.i64, dexp, sexp);
    527   bexp += sexp;
    528 
    529   if ( bexp >= limits::min_exponent ) { /* not zero or denorm */
    530     if ( limits::digits < 64 ) {
    531       /* Round to (64 - M + 1) bits */
    532       uint64_t rest = vv.i64 & ((~ULL(0) / ULL(2)) >> (limits::digits - 1));
    533       vv.i64 >>= M - 2;
    534       uint32_t guard = (uint32) vv.i64 & 1;
    535       vv.i64 >>= 1;
    536 
    537       /*  value&1 guard   rest    Action
    538        *
    539        *  dc      0       dc      none
    540        *  1       1       dc      round
    541        *  0       1       0       none
    542        *  0       1       !=0     round
    543        */
    544 
    545       if (guard) {
    546         if ( ((vv.i64 & 1) != 0) || (rest != 0) ) {
    547           vv.i64++;       /* round */
    548           if ( (vv.i64 >> (limits::digits < 64 ? limits::digits : 0)) != 0 ) { /* carry all the way across */
    549             vv.i64 >>= 1; /* renormalize */
    550             ++bexp;
    551           }
    552         }
    553       }
    554 
    555       vv.i64 &= ~(ULL(1) << (limits::digits - 1)); /* hide hidden bit */
    556     }
    557     /*
    558      * Check for overflow
    559      * IEEE Double Precision Format
    560      * (From Table 7-8 of Kane and Heinrich)
    561      *
    562      * Fraction bits               52
    563      * Emax                     +1023
    564      * Emin                     -1022
    565      * Exponent bias            +1023
    566      * Exponent bits               11
    567      * Integer bit             hidden
    568      * Total width in bits         64
    569      */
    570 
    571     if (bexp > limits::max_exponent) { /* overflow */
    572       return limits::infinity();
    573     }
    574 
    575     /* value is normal */
    576 
    577     IEEE v;
    578 
    579     v.ieee.mantissa0 = vv.i32.hi;
    580     v.ieee.mantissa1 = vv.i32.lo;
    581     v.ieee.negative = 0;
    582     v.ieee.exponent = bexp + BIAS - 1;
    583 
    584     return v.d;
    585   }
    586 
    587   /* HI denorm or underflow */
    588   bexp += BIAS - 1;
    589   if (bexp < -limits::digits) { /* guaranteed underflow */
    590     vv.i64 = 0;
    591   } else {  /* denorm or possible underflow */
    592 
    593     /*
    594      * Problem point for long double: looks like this code reflect shareing of mantissa
    595      * and exponent in 64b int; not so for long double
    596      */
    597 
    598     int lead0 = M - bexp; /* M = 12 sign and exponent bits */
    599     uint64_t rest;
    600     uint32_t guard;
    601 
    602     /* we must special case right shifts of more than 63 */
    603 
    604     if (lead0 > 64) {
    605       rest = vv.i64;
    606       guard = 0;
    607       vv.i64 = 0;
    608     } else if (lead0 == 64) {
    609       rest = vv.i64 & ((ULL(1) << 63)-1);
    610       guard = (uint32) ((vv.i64 >> 63) & 1 );
    611       vv.i64 = 0;
    612     } else {
    613       rest = vv.i64 & (((ULL(1) << lead0)-1)-1);
    614       guard = (uint32) (((vv.i64 >> lead0)-1) & 1);
    615       vv.i64 >>= /*(uint64)*/ lead0; /* exponent is zero */
    616     }
    617 
    618     /* Round */
    619     if (guard && ( (vv.i64 & 1) || rest)) {
    620       vv.i64++;
    621       if (vv.i64 == (ULL(1) << (limits::digits - 1))) { /* carry created normal number */
    622         IEEE v;
    623 
    624         v.ieee.mantissa0 = 0;
    625         v.ieee.mantissa1 = 0;
    626         v.ieee.negative = 0;
    627         v.ieee.exponent = 1;
    628         return v.d;
    629       }
    630     }
    631   }
    632 
    633   IEEE v;
    634 
    635   v.ieee.mantissa0 = vv.i32.hi;
    636   v.ieee.mantissa1 = vv.i32.lo;
    637   v.ieee.negative = 0;
    638   v.ieee.exponent = 0;
    639 
    640   return v.d;
    641 }
    642 #endif // __linux__
    643 
    644 #if !defined (__linux__) || defined (ANDROID)
    645 static double _Stl_string_to_double(const char *s) {
    646   typedef numeric_limits<double> limits;
    647   const int max_digits = limits::digits10 + 2;
    648   unsigned c;
    649   unsigned Negate, decimal_point;
    650   char *d;
    651   int exp;
    652   int dpchar;
    653   char digits[max_digits];
    654 
    655   c = *s++;
    656 
    657   /* process sign */
    658   Negate = 0;
    659   if (c == '+') {
    660     c = *s++;
    661   } else if (c == '-') {
    662     Negate = 1;
    663     c = *s++;
    664   }
    665 
    666   d = digits;
    667   dpchar = '.' - '0';
    668   decimal_point = 0;
    669   exp = 0;
    670 
    671   for (;;) {
    672     c -= '0';
    673     if (c < 10) {
    674       if (d == digits + max_digits) {
    675         /* ignore more than max_digits digits, but adjust exponent */
    676         exp += (decimal_point ^ 1);
    677       } else {
    678         if (c == 0 && d == digits) {
    679           /* ignore leading zeros */
    680         } else {
    681           *d++ = (char) c;
    682         }
    683         exp -= decimal_point;
    684       }
    685     } else if (c == (unsigned int) dpchar && !decimal_point) { /* INTERNATIONAL */
    686       decimal_point = 1;
    687     } else {
    688       break;
    689     }
    690     c = *s++;
    691   }
    692 
    693   /* strtod cant return until it finds the end of the exponent */
    694   if (d == digits) {
    695     return 0.0;
    696   }
    697 
    698   if (c == 'e' - '0' || c == 'E' - '0') {
    699     register unsigned negate_exp = 0;
    700     register int e = 0;
    701     c = *s++;
    702     if (c == '+' || c == ' ') {
    703       c = *s++;
    704     } else if (c == '-') {
    705       negate_exp = 1;
    706       c = *s++;
    707     }
    708     if (c -= '0', c < 10) {
    709       do {
    710         e = e * 10 + (int)c;
    711         c = *s++;
    712       } while (c -= '0', c < 10);
    713 
    714       if (negate_exp) {
    715         e = -e;
    716       }
    717       exp += e;
    718     }
    719   }
    720 
    721   double x;
    722   ptrdiff_t n = d - digits;
    723   if ((exp + n - 1) < limits::min_exponent10) {
    724     x = 0;
    725   }
    726   else if ((exp + n - 1) > limits::max_exponent10) {
    727     x = limits::infinity();
    728   }
    729   else {
    730     /* Let _Stl_atod diagnose under- and over-flows.
    731      * If the input was == 0.0, we have already returned,
    732      * so retval of +-Inf signals OVERFLOW, 0.0 UNDERFLOW */
    733     x = _Stl_atod(digits, n, exp);
    734   }
    735 
    736   if (Negate) {
    737     x = -x;
    738   }
    739 
    740   return x;
    741 }
    742 
    743 #endif
    744 
    745 #if defined (__linux__) || defined (__MINGW32__) || defined (__CYGWIN__) || \
    746     defined (__BORLANDC__) || defined (__DMC__) || defined (__HP_aCC)
    747 
    748 template <class D, class IEEE, int M, int BIAS>
    749 D _Stl_string_to_doubleT(const char *s)
    750 {
    751   typedef numeric_limits<D> limits;
    752   const int max_digits = limits::digits10; /* + 2 17 */;
    753   unsigned c;
    754   unsigned decimal_point;
    755   char *d;
    756   int exp;
    757   D x;
    758   int dpchar;
    759   char digits[max_digits];
    760 
    761   c = *s++;
    762 
    763   /* process sign */
    764   bool Negate = false;
    765   if (c == '+') {
    766     c = *s++;
    767   } else if (c == '-') {
    768     Negate = true;
    769     c = *s++;
    770   }
    771 
    772   d = digits;
    773   dpchar = '.' - '0';
    774   decimal_point = 0;
    775   exp = 0;
    776 
    777   for (;;) {
    778     c -= '0';
    779     if (c < 10) {
    780       if (d == digits + max_digits) {
    781         /* ignore more than max_digits digits, but adjust exponent */
    782         exp += (decimal_point ^ 1);
    783       } else {
    784         if (c == 0 && d == digits) {
    785           /* ignore leading zeros */
    786         } else {
    787           *d++ = (char) c;
    788         }
    789         exp -= decimal_point;
    790       }
    791     } else if (c == (unsigned int) dpchar && !decimal_point) {    /* INTERNATIONAL */
    792       decimal_point = 1;
    793     } else {
    794       break;
    795     }
    796     c = *s++;
    797   }
    798   /* strtod cant return until it finds the end of the exponent */
    799   if (d == digits) {
    800     return D(0.0);
    801   }
    802 
    803   if (c == 'e'-'0' || c == 'E'-'0') {
    804     bool negate_exp = false;
    805     register int e = 0;
    806     c = *s++;
    807     if (c == '+' || c == ' ') {
    808       c = *s++;
    809     } else if (c == '-') {
    810       negate_exp = true;
    811       c = *s++;
    812     }
    813     if (c -= '0', c < 10) {
    814       do {
    815         e = e * 10 + (int)c;
    816         c = *s++;
    817       } while (c -= '0', c < 10);
    818 
    819       if (negate_exp) {
    820         e = -e;
    821       }
    822       exp += e;
    823     }
    824   }
    825 
    826   ptrdiff_t n = d - digits;
    827   if ((exp + n - 1) < limits::min_exponent10) {
    828     return D(0.0); // +0.0 is the same as -0.0
    829   } else if ((exp + n - 1) > limits::max_exponent10 ) {
    830     // not good, because of x = -x below; this may lead to portability problems
    831     x = limits::infinity();
    832   } else {
    833     /* let _Stl_atod diagnose under- and over-flows */
    834     /* if the input was == 0.0, we have already returned,
    835        so retval of +-Inf signals OVERFLOW, 0.0 UNDERFLOW
    836     */
    837     x = _Stl_atodT<D,IEEE,M,BIAS>(digits, n, exp);
    838   }
    839 
    840   return Negate ? -x : x;
    841 }
    842 
    843 #endif // __linux__
    844 
    845 void _STLP_CALL
    846 __string_to_float(const __iostring& v, float& val)
    847 {
    848 #if !defined (__linux__) || defined (ANDROID)
    849   val = (float)_Stl_string_to_double(v.c_str());
    850 #else
    851   val = (float)_Stl_string_to_doubleT<double,ieee754_double,12,IEEE754_DOUBLE_BIAS>(v.c_str());
    852 #endif
    853 }
    854 
    855 void _STLP_CALL
    856 __string_to_float(const __iostring& v, double& val)
    857 {
    858 #if !defined (__linux__) || defined (ANDROID)
    859   val = _Stl_string_to_double(v.c_str());
    860 #else
    861   val = _Stl_string_to_doubleT<double,ieee754_double,12,IEEE754_DOUBLE_BIAS>(v.c_str());
    862 #endif
    863 }
    864 
    865 #if !defined (_STLP_NO_LONG_DOUBLE)
    866 void _STLP_CALL
    867 __string_to_float(const __iostring& v, long double& val) {
    868 #if !defined (__linux__) && !defined (__MINGW32__) && !defined (__CYGWIN__) && \
    869     !defined (__BORLANDC__) && !defined (__DMC__) && !defined (__HP_aCC)
    870   //The following function is valid only if long double is an alias for double.
    871   _STLP_STATIC_ASSERT( sizeof(long double) <= sizeof(double) )
    872   val = _Stl_string_to_double(v.c_str());
    873 #else
    874   val = _Stl_string_to_doubleT<long double,ieee854_long_double,16,IEEE854_LONG_DOUBLE_BIAS>(v.c_str());
    875 #endif
    876 }
    877 #endif
    878 
    879 _STLP_MOVE_TO_STD_NAMESPACE
    880 _STLP_END_NAMESPACE
    881 
    882 // Local Variables:
    883 // mode:C++
    884 // End:
    885