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1 /* |
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2 * Copyright (c) 1999 |
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3 * Silicon Graphics Computer Systems, Inc. |
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4 * |
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5 * Copyright (c) 1999 |
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6 * Boris Fomitchev |
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7 * |
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8 * This material is provided "as is", with absolutely no warranty expressed |
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9 * or implied. Any use is at your own risk. |
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10 * |
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11 * Permission to use or copy this software for any purpose is hereby granted |
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12 * without fee, provided the above notices are retained on all copies. |
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13 * Permission to modify the code and to distribute modified code is granted, |
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14 * provided the above notices are retained, and a notice that the code was |
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15 * modified is included with the above copyright notice. |
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16 * |
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17 */ |
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18 |
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19 #include "stlport_prefix.h" |
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20 |
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21 #include <limits> |
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22 #include <locale> |
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23 #include <istream> |
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24 |
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25 #if (defined (__GNUC__) && !defined (__sun) && !defined (__hpux)) || \ |
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26 defined (__DMC__) |
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27 # include <stdint.h> |
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28 #endif |
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29 |
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30 #if defined (__linux__) || defined (__MINGW32__) || defined (__CYGWIN__) || \ |
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31 defined (__BORLANDC__) || defined (__DMC__) || defined (__HP_aCC) |
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32 |
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33 # if defined (__BORLANDC__) |
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34 typedef unsigned int uint32_t; |
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35 typedef unsigned __int64 uint64_t; |
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36 # endif |
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37 |
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38 union _ll { |
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39 uint64_t i64; |
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40 struct { |
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41 # if defined (_STLP_BIG_ENDIAN) |
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42 uint32_t hi; |
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43 uint32_t lo; |
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44 # elif defined (_STLP_LITTLE_ENDIAN) |
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45 uint32_t lo; |
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46 uint32_t hi; |
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47 # else |
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48 # error Unknown endianess |
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49 # endif |
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50 } i32; |
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51 }; |
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52 |
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53 # if defined (__linux__) && !defined (__ANDROID__) |
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54 # include <ieee754.h> |
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55 # else |
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56 union ieee854_long_double { |
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57 long double d; |
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58 |
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59 /* This is the IEEE 854 double-extended-precision format. */ |
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60 struct { |
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61 unsigned int mantissa1:32; |
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62 unsigned int mantissa0:32; |
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63 unsigned int exponent:15; |
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64 unsigned int negative:1; |
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65 unsigned int empty:16; |
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66 } ieee; |
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67 }; |
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68 |
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69 # define IEEE854_LONG_DOUBLE_BIAS 0x3fff |
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70 # endif |
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71 #endif |
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72 |
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73 _STLP_BEGIN_NAMESPACE |
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74 _STLP_MOVE_TO_PRIV_NAMESPACE |
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75 |
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76 //---------------------------------------------------------------------- |
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77 // num_get |
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78 |
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79 // Helper functions for _M_do_get_float. |
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80 |
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81 #if !defined (_STLP_NO_WCHAR_T) |
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82 void _STLP_CALL |
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83 _Initialize_get_float( const ctype<wchar_t>& ct, |
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84 wchar_t& Plus, wchar_t& Minus, |
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85 wchar_t& pow_e, wchar_t& pow_E, |
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86 wchar_t* digits) { |
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87 char ndigits[11] = "0123456789"; |
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88 Plus = ct.widen('+'); |
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89 Minus = ct.widen('-'); |
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90 pow_e = ct.widen('e'); |
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91 pow_E = ct.widen('E'); |
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92 ct.widen(ndigits + 0, ndigits + 10, digits); |
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93 } |
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94 #endif /* WCHAR_T */ |
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95 |
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96 /* |
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97 * __string_to_double is just lifted from atof, the difference being |
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98 * that we just use '.' for the decimal point, rather than let it |
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99 * be taken from the current C locale, which of course is not accessible |
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100 * to us. |
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101 */ |
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102 #if defined (_STLP_MSVC) || defined (__BORLANDC__) || defined (__ICL) |
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103 typedef unsigned long uint32; |
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104 typedef unsigned __int64 uint64; |
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105 # define ULL(x) x##Ui64 |
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106 #elif defined (__unix) || defined (__MINGW32__) || \ |
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107 (defined (__DMC__) && (__LONGLONG)) || defined (__WATCOMC__) || \ |
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108 defined (__ANDROID__) |
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109 typedef uint32_t uint32; |
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110 typedef uint64_t uint64; |
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111 # define ULL(x) x##ULL |
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112 #else |
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113 # error There should be some unsigned 64-bit integer on the system! |
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114 #endif |
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115 |
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116 // Multiplication of two 64-bit integers, giving a 128-bit result. |
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117 // Taken from Algorithm M in Knuth section 4.3.1, with the loop |
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118 // hand-unrolled. |
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119 static void _Stl_mult64(const uint64 u, const uint64 v, |
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120 uint64& high, uint64& low) { |
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121 const uint64 low_mask = ULL(0xffffffff); |
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122 const uint64 u0 = u & low_mask; |
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123 const uint64 u1 = u >> 32; |
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124 const uint64 v0 = v & low_mask; |
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125 const uint64 v1 = v >> 32; |
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126 |
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127 uint64 t = u0 * v0; |
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128 low = t & low_mask; |
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129 |
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130 t = u1 * v0 + (t >> 32); |
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131 uint64 w1 = t & low_mask; |
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132 uint64 w2 = t >> 32; |
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133 |
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134 uint64 x = u0 * v1 + w1; |
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135 low += (x & low_mask) << 32; |
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136 high = u1 * v1 + w2 + (x >> 32); |
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137 } |
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138 |
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139 #if !defined (__linux__) || defined (__ANDROID__) |
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140 |
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141 # define bit11 ULL(0x7ff) |
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142 # define exponent_mask (bit11 << 52) |
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143 |
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144 # if !defined (__GNUC__) || (__GNUC__ != 3) || (__GNUC_MINOR__ != 4) || \ |
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145 (!defined (__CYGWIN__) && !defined (__MINGW32__)) |
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146 //Generate bad code when compiled with -O2 option. |
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147 inline |
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148 # endif |
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149 void _Stl_set_exponent(uint64 &val, uint64 exp) |
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150 { val = (val & ~exponent_mask) | ((exp & bit11) << 52); } |
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151 |
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152 #endif // __linux__ |
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153 |
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154 /* Power of ten fractions for tenscale*/ |
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155 /* The constants are factored so that at most two constants |
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156 * and two multiplies are needed. Furthermore, one of the constants |
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157 * is represented exactly - 10**n where 1<= n <= 27. |
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158 */ |
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159 |
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160 static const uint64 _Stl_tenpow[80] = { |
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161 ULL(0xa000000000000000), /* _Stl_tenpow[0]=(10**1)/(2**4) */ |
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162 ULL(0xc800000000000000), /* _Stl_tenpow[1]=(10**2)/(2**7) */ |
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163 ULL(0xfa00000000000000), /* _Stl_tenpow[2]=(10**3)/(2**10) */ |
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164 ULL(0x9c40000000000000), /* _Stl_tenpow[3]=(10**4)/(2**14) */ |
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165 ULL(0xc350000000000000), /* _Stl_tenpow[4]=(10**5)/(2**17) */ |
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166 ULL(0xf424000000000000), /* _Stl_tenpow[5]=(10**6)/(2**20) */ |
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167 ULL(0x9896800000000000), /* _Stl_tenpow[6]=(10**7)/(2**24) */ |
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168 ULL(0xbebc200000000000), /* _Stl_tenpow[7]=(10**8)/(2**27) */ |
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169 ULL(0xee6b280000000000), /* _Stl_tenpow[8]=(10**9)/(2**30) */ |
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170 ULL(0x9502f90000000000), /* _Stl_tenpow[9]=(10**10)/(2**34) */ |
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171 ULL(0xba43b74000000000), /* _Stl_tenpow[10]=(10**11)/(2**37) */ |
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172 ULL(0xe8d4a51000000000), /* _Stl_tenpow[11]=(10**12)/(2**40) */ |
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173 ULL(0x9184e72a00000000), /* _Stl_tenpow[12]=(10**13)/(2**44) */ |
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174 ULL(0xb5e620f480000000), /* _Stl_tenpow[13]=(10**14)/(2**47) */ |
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175 ULL(0xe35fa931a0000000), /* _Stl_tenpow[14]=(10**15)/(2**50) */ |
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176 ULL(0x8e1bc9bf04000000), /* _Stl_tenpow[15]=(10**16)/(2**54) */ |
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177 ULL(0xb1a2bc2ec5000000), /* _Stl_tenpow[16]=(10**17)/(2**57) */ |
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178 ULL(0xde0b6b3a76400000), /* _Stl_tenpow[17]=(10**18)/(2**60) */ |
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179 ULL(0x8ac7230489e80000), /* _Stl_tenpow[18]=(10**19)/(2**64) */ |
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180 ULL(0xad78ebc5ac620000), /* _Stl_tenpow[19]=(10**20)/(2**67) */ |
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181 ULL(0xd8d726b7177a8000), /* _Stl_tenpow[20]=(10**21)/(2**70) */ |
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182 ULL(0x878678326eac9000), /* _Stl_tenpow[21]=(10**22)/(2**74) */ |
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183 ULL(0xa968163f0a57b400), /* _Stl_tenpow[22]=(10**23)/(2**77) */ |
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184 ULL(0xd3c21bcecceda100), /* _Stl_tenpow[23]=(10**24)/(2**80) */ |
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185 ULL(0x84595161401484a0), /* _Stl_tenpow[24]=(10**25)/(2**84) */ |
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186 ULL(0xa56fa5b99019a5c8), /* _Stl_tenpow[25]=(10**26)/(2**87) */ |
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187 ULL(0xcecb8f27f4200f3a), /* _Stl_tenpow[26]=(10**27)/(2**90) */ |
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188 |
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189 ULL(0xd0cf4b50cfe20766), /* _Stl_tenpow[27]=(10**55)/(2**183) */ |
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190 ULL(0xd2d80db02aabd62c), /* _Stl_tenpow[28]=(10**83)/(2**276) */ |
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191 ULL(0xd4e5e2cdc1d1ea96), /* _Stl_tenpow[29]=(10**111)/(2**369) */ |
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192 ULL(0xd6f8d7509292d603), /* _Stl_tenpow[30]=(10**139)/(2**462) */ |
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193 ULL(0xd910f7ff28069da4), /* _Stl_tenpow[31]=(10**167)/(2**555) */ |
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194 ULL(0xdb2e51bfe9d0696a), /* _Stl_tenpow[32]=(10**195)/(2**648) */ |
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195 ULL(0xdd50f1996b947519), /* _Stl_tenpow[33]=(10**223)/(2**741) */ |
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196 ULL(0xdf78e4b2bd342cf7), /* _Stl_tenpow[34]=(10**251)/(2**834) */ |
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197 ULL(0xe1a63853bbd26451), /* _Stl_tenpow[35]=(10**279)/(2**927) */ |
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198 ULL(0xe3d8f9e563a198e5), /* _Stl_tenpow[36]=(10**307)/(2**1020) */ |
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199 |
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200 // /* _Stl_tenpow[36]=(10**335)/(2**) */ |
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201 // /* _Stl_tenpow[36]=(10**335)/(2**) */ |
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202 |
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203 ULL(0xfd87b5f28300ca0e), /* _Stl_tenpow[37]=(10**-28)/(2**-93) */ |
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204 ULL(0xfb158592be068d2f), /* _Stl_tenpow[38]=(10**-56)/(2**-186) */ |
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205 ULL(0xf8a95fcf88747d94), /* _Stl_tenpow[39]=(10**-84)/(2**-279) */ |
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206 ULL(0xf64335bcf065d37d), /* _Stl_tenpow[40]=(10**-112)/(2**-372) */ |
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207 ULL(0xf3e2f893dec3f126), /* _Stl_tenpow[41]=(10**-140)/(2**-465) */ |
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208 ULL(0xf18899b1bc3f8ca2), /* _Stl_tenpow[42]=(10**-168)/(2**-558) */ |
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209 ULL(0xef340a98172aace5), /* _Stl_tenpow[43]=(10**-196)/(2**-651) */ |
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210 ULL(0xece53cec4a314ebe), /* _Stl_tenpow[44]=(10**-224)/(2**-744) */ |
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211 ULL(0xea9c227723ee8bcb), /* _Stl_tenpow[45]=(10**-252)/(2**-837) */ |
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212 ULL(0xe858ad248f5c22ca), /* _Stl_tenpow[46]=(10**-280)/(2**-930) */ |
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213 ULL(0xe61acf033d1a45df), /* _Stl_tenpow[47]=(10**-308)/(2**-1023) */ |
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214 ULL(0xe3e27a444d8d98b8), /* _Stl_tenpow[48]=(10**-336)/(2**-1116) */ |
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215 ULL(0xe1afa13afbd14d6e) /* _Stl_tenpow[49]=(10**-364)/(2**-1209) */ |
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216 }; |
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217 |
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218 static const short _Stl_twoexp[80] = { |
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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, |
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220 183,276,369,462,555,648,741,834,927,1020, |
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221 -93,-186,-279,-372,-465,-558,-651,-744,-837,-930,-1023,-1116,-1209 |
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222 }; |
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223 |
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224 #define TEN_1 0 /* offset to 10 ** 1 */ |
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225 #define TEN_27 26 /* offset to 10 ** 27 */ |
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226 #define TEN_M28 37 /* offset to 10 ** -28 */ |
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227 #define NUM_HI_P 11 |
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228 #define NUM_HI_N 13 |
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229 |
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230 #define _Stl_HIBITULL (ULL(1) << 63) |
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231 |
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232 static void _Stl_norm_and_round(uint64& p, int& norm, uint64 prodhi, uint64 prodlo) { |
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233 norm = 0; |
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234 if ((prodhi & _Stl_HIBITULL) == 0) { |
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235 /* leading bit is a zero |
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236 * may have to normalize |
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237 */ |
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238 if ((prodhi == ~_Stl_HIBITULL) && |
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239 ((prodlo >> 62) == 0x3)) { /* normalization followed by round |
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240 * would cause carry to create |
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241 * extra bit, so don't normalize |
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242 */ |
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243 p = _Stl_HIBITULL; |
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244 return; |
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245 } |
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246 p = (prodhi << 1) | (prodlo >> 63); /* normalize */ |
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247 norm = 1; |
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248 prodlo <<= 1; |
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249 } |
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250 else { |
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251 p = prodhi; |
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252 } |
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253 |
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254 if ((prodlo & _Stl_HIBITULL) != 0) { /* first guard bit a one */ |
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255 if (((p & 0x1) != 0) || |
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256 prodlo != _Stl_HIBITULL ) { /* not borderline for round to even */ |
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257 /* round */ |
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258 ++p; |
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259 if (p == 0) |
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260 ++p; |
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261 } |
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262 } |
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263 } |
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264 |
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265 // Convert a 64-bitb fraction * 10^exp to a 64-bit fraction * 2^bexp. |
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266 // p: 64-bit fraction |
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267 // exp: base-10 exponent |
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268 // bexp: base-2 exponent (output parameter) |
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269 static void _Stl_tenscale(uint64& p, int exp, int& bexp) { |
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270 bexp = 0; |
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271 |
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272 if ( exp == 0 ) { /* no scaling needed */ |
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273 return; |
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274 } |
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275 |
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276 int exp_hi = 0, exp_lo = exp; /* exp = exp_hi*32 + exp_lo */ |
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277 int tlo = TEN_1, thi; /* offsets in power of ten table */ |
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278 int num_hi; /* number of high exponent powers */ |
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279 |
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280 if (exp > 0) { /* split exponent */ |
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281 if (exp_lo > 27) { |
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282 exp_lo++; |
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283 while (exp_lo > 27) { |
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284 exp_hi++; |
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285 exp_lo -= 28; |
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286 } |
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287 } |
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288 thi = TEN_27; |
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289 num_hi = NUM_HI_P; |
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290 } else { // exp < 0 |
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291 while (exp_lo < 0) { |
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292 exp_hi++; |
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293 exp_lo += 28; |
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294 } |
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295 thi = TEN_M28; |
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296 num_hi = NUM_HI_N; |
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297 } |
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298 |
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299 uint64 prodhi, prodlo; /* 128b product */ |
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300 int norm; /* number of bits of normalization */ |
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301 |
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302 int hi, lo; /* offsets in power of ten table */ |
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303 while (exp_hi) { /* scale */ |
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304 hi = (min) (exp_hi, num_hi); /* only a few large powers of 10 */ |
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305 exp_hi -= hi; /* could iterate in extreme case */ |
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306 hi += thi-1; |
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307 _Stl_mult64(p, _Stl_tenpow[hi], prodhi, prodlo); |
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308 _Stl_norm_and_round(p, norm, prodhi, prodlo); |
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309 bexp += _Stl_twoexp[hi] - norm; |
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310 } |
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311 |
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312 if (exp_lo) { |
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313 lo = tlo + exp_lo -1; |
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314 _Stl_mult64(p, _Stl_tenpow[lo], prodhi, prodlo); |
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315 _Stl_norm_and_round(p, norm, prodhi, prodlo); |
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316 bexp += _Stl_twoexp[lo] - norm; |
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317 } |
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318 |
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319 return; |
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320 } |
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321 |
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322 // First argument is a buffer of values from 0 to 9, NOT ascii. |
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323 // Second argument is number of digits in buffer, 1 <= digits <= 17. |
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324 // Third argument is base-10 exponent. |
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325 |
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326 /* IEEE representation */ |
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327 #if !defined (__linux__) || defined (__ANDROID__) |
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328 |
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329 union _Double_rep { |
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330 uint64 ival; |
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331 double val; |
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332 }; |
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333 |
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334 static double _Stl_atod(char *buffer, ptrdiff_t ndigit, int dexp) { |
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335 typedef numeric_limits<double> limits; |
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336 _Double_rep drep; |
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337 uint64 &value = drep.ival; /* Value develops as follows: |
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338 * 1) decimal digits as an integer |
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339 * 2) left adjusted fraction |
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340 * 3) right adjusted fraction |
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341 * 4) exponent and fraction |
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342 */ |
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343 |
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344 uint32 guard; /* First guard bit */ |
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345 uint64 rest; /* Remaining guard bits */ |
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346 |
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347 int bexp; /* binary exponent */ |
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348 int nzero; /* number of non-zero bits */ |
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349 int sexp; /* scaling exponent */ |
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350 |
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351 char *bufferend; /* pointer to char after last digit */ |
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352 |
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353 /* Convert the decimal digits to a binary integer. */ |
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354 bufferend = buffer + ndigit; |
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355 value = 0; |
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356 |
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357 while (buffer < bufferend) { |
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358 value *= 10; |
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359 value += *buffer++; |
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360 } |
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361 |
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362 /* Check for zero and treat it as a special case */ |
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363 if (value == 0) { |
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364 return 0.0; |
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365 } |
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366 |
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367 /* Normalize value */ |
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368 bexp = 64; /* convert from 64b int to fraction */ |
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369 |
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370 /* Count number of non-zeroes in value */ |
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371 nzero = 0; |
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372 if ((value >> 32) != 0) { nzero = 32; } //*TY 03/25/2000 - added explicit comparison to zero to avoid uint64 to bool conversion operator |
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373 if ((value >> (16 + nzero)) != 0) { nzero += 16; } |
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374 if ((value >> ( 8 + nzero)) != 0) { nzero += 8; } |
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375 if ((value >> ( 4 + nzero)) != 0) { nzero += 4; } |
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376 if ((value >> ( 2 + nzero)) != 0) { nzero += 2; } |
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377 if ((value >> ( 1 + nzero)) != 0) { nzero += 1; } |
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378 if ((value >> ( nzero)) != 0) { nzero += 1; } |
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379 |
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380 /* Normalize */ |
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381 value <<= /*(uint64)*/ (64 - nzero); //*TY 03/25/2000 - removed extraneous cast to uint64 |
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382 bexp -= 64 - nzero; |
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383 |
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384 /* At this point we have a 64b fraction and a binary exponent |
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385 * but have yet to incorporate the decimal exponent. |
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386 */ |
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387 |
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388 /* multiply by 10^dexp */ |
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389 _Stl_tenscale(value, dexp, sexp); |
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390 bexp += sexp; |
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391 |
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392 if (bexp <= -1022) { /* HI denorm or underflow */ |
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393 bexp += 1022; |
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394 if (bexp < -53) { /* guaranteed underflow */ |
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395 value = 0; |
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396 } |
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397 else { /* denorm or possible underflow */ |
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398 int lead0 = 12 - bexp; /* 12 sign and exponent bits */ |
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399 |
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400 /* we must special case right shifts of more than 63 */ |
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401 if (lead0 > 64) { |
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402 rest = value; |
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403 guard = 0; |
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404 value = 0; |
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405 } |
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406 else if (lead0 == 64) { |
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407 rest = value & ((ULL(1)<< 63)-1); |
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408 guard = (uint32) ((value>> 63) & 1 ); |
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409 value = 0; |
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410 } |
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411 else { |
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412 rest = value & (((ULL(1) << lead0)-1)-1); |
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413 guard = (uint32) (((value>> lead0)-1) & 1); |
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414 value >>= /*(uint64)*/ lead0; /* exponent is zero */ |
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415 } |
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416 |
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417 /* Round */ |
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418 if (guard && ((value & 1) || rest) ) { |
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419 ++value; |
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420 if (value == (ULL(1) << (limits::digits - 1))) { /* carry created normal number */ |
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421 value = 0; |
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422 _Stl_set_exponent(value, 1); |
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423 } |
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424 } |
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425 } |
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426 } |
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427 else { /* not zero or denorm */ |
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428 /* Round to 53 bits */ |
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429 rest = value & ((1 << 10) - 1); |
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430 value >>= 10; |
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431 guard = (uint32) value & 1; |
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432 value >>= 1; |
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433 |
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434 /* value&1 guard rest Action |
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435 * |
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436 * dc 0 dc none |
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437 * 1 1 dc round |
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438 * 0 1 0 none |
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439 * 0 1 !=0 round |
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440 */ |
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441 if (guard) { |
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442 if (((value&1)!=0) || (rest!=0)) { |
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443 ++value; /* round */ |
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444 if ((value >> 53) != 0) { /* carry all the way across */ |
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445 value >>= 1; /* renormalize */ |
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446 ++bexp; |
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447 } |
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448 } |
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449 } |
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450 /* |
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451 * Check for overflow |
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452 * IEEE Double Precision Format |
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453 * (From Table 7-8 of Kane and Heinrich) |
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454 * |
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455 * Fraction bits 52 |
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456 * Emax +1023 |
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457 * Emin -1022 |
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458 * Exponent bias +1023 |
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459 * Exponent bits 11 |
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460 * Integer bit hidden |
|
461 * Total width in bits 64 |
|
462 */ |
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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 } |
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472 |
|
473 _STLP_STATIC_ASSERT(sizeof(uint64) >= sizeof(double)) |
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474 return drep.val; |
|
475 } |
|
476 |
|
477 #endif |
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478 |
|
479 #if defined (__linux__) || defined (__MINGW32__) || defined (__CYGWIN__) || \ |
|
480 defined (__BORLANDC__) || defined (__DMC__) || defined (__HP_aCC) |
|
481 |
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482 template <class D, class IEEE, int M, int BIAS> |
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483 D _Stl_atodT(char *buffer, ptrdiff_t ndigit, int dexp) |
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484 { |
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485 typedef numeric_limits<D> limits; |
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486 |
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487 /* Convert the decimal digits to a binary integer. */ |
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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 } |
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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: |