Mercurial > cpython-lru_cache-weakref
annotate Objects/floatobject.c @ 84153:fcb686e720ff
Merge with 3.3
| author | Andrew Kuchling <amk@amk.ca> |
|---|---|
| date | Sat, 15 Jun 2013 15:10:08 -0400 |
| parents | 41a2cbe23349 |
| children | fc718c177ee6 |
| rev | line source |
|---|---|
| 145 | 1 |
| 6 | 2 /* Float object implementation */ |
| 3 | |
| 27 | 4 /* XXX There should be overflow checks here, but it's hard to check |
| 5 for any kind of float exception without losing portability. */ | |
| 6 | |
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7 #include "Python.h" |
| 6 | 8 |
| 86 | 9 #include <ctype.h> |
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10 #include <float.h> |
| 6 | 11 |
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13 /* Special free list |
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14 free_list is a singly-linked list of available PyFloatObjects, linked |
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15 via abuse of their ob_type members. |
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16 */ |
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17 |
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18 #ifndef PyFloat_MAXFREELIST |
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19 #define PyFloat_MAXFREELIST 100 |
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20 #endif |
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21 static int numfree = 0; |
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22 static PyFloatObject *free_list = NULL; |
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23 |
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24 double |
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25 PyFloat_GetMax(void) |
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26 { |
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27 return DBL_MAX; |
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28 } |
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29 |
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30 double |
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31 PyFloat_GetMin(void) |
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32 { |
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33 return DBL_MIN; |
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34 } |
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35 |
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36 static PyTypeObject FloatInfoType; |
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37 |
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38 PyDoc_STRVAR(floatinfo__doc__, |
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39 "sys.float_info\n\ |
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40 \n\ |
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41 A structseq holding information about the float type. It contains low level\n\ |
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42 information about the precision and internal representation. Please study\n\ |
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43 your system's :file:`float.h` for more information."); |
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44 |
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45 static PyStructSequence_Field floatinfo_fields[] = { |
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46 {"max", "DBL_MAX -- maximum representable finite float"}, |
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47 {"max_exp", "DBL_MAX_EXP -- maximum int e such that radix**(e-1) " |
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48 "is representable"}, |
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49 {"max_10_exp", "DBL_MAX_10_EXP -- maximum int e such that 10**e " |
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50 "is representable"}, |
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51 {"min", "DBL_MIN -- Minimum positive normalizer float"}, |
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52 {"min_exp", "DBL_MIN_EXP -- minimum int e such that radix**(e-1) " |
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53 "is a normalized float"}, |
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54 {"min_10_exp", "DBL_MIN_10_EXP -- minimum int e such that 10**e is " |
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55 "a normalized"}, |
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56 {"dig", "DBL_DIG -- digits"}, |
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57 {"mant_dig", "DBL_MANT_DIG -- mantissa digits"}, |
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58 {"epsilon", "DBL_EPSILON -- Difference between 1 and the next " |
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59 "representable float"}, |
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60 {"radix", "FLT_RADIX -- radix of exponent"}, |
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61 {"rounds", "FLT_ROUNDS -- addition rounds"}, |
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62 {0} |
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63 }; |
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64 |
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65 static PyStructSequence_Desc floatinfo_desc = { |
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66 "sys.float_info", /* name */ |
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67 floatinfo__doc__, /* doc */ |
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68 floatinfo_fields, /* fields */ |
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69 11 |
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70 }; |
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71 |
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72 PyObject * |
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73 PyFloat_GetInfo(void) |
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74 { |
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75 PyObject* floatinfo; |
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76 int pos = 0; |
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77 |
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78 floatinfo = PyStructSequence_New(&FloatInfoType); |
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79 if (floatinfo == NULL) { |
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80 return NULL; |
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81 } |
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82 |
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83 #define SetIntFlag(flag) \ |
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84 PyStructSequence_SET_ITEM(floatinfo, pos++, PyLong_FromLong(flag)) |
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85 #define SetDblFlag(flag) \ |
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86 PyStructSequence_SET_ITEM(floatinfo, pos++, PyFloat_FromDouble(flag)) |
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87 |
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88 SetDblFlag(DBL_MAX); |
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89 SetIntFlag(DBL_MAX_EXP); |
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90 SetIntFlag(DBL_MAX_10_EXP); |
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91 SetDblFlag(DBL_MIN); |
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92 SetIntFlag(DBL_MIN_EXP); |
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93 SetIntFlag(DBL_MIN_10_EXP); |
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94 SetIntFlag(DBL_DIG); |
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95 SetIntFlag(DBL_MANT_DIG); |
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96 SetDblFlag(DBL_EPSILON); |
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97 SetIntFlag(FLT_RADIX); |
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98 SetIntFlag(FLT_ROUNDS); |
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99 #undef SetIntFlag |
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100 #undef SetDblFlag |
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101 |
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102 if (PyErr_Occurred()) { |
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103 Py_CLEAR(floatinfo); |
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104 return NULL; |
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105 } |
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106 return floatinfo; |
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107 } |
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108 |
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109 PyObject * |
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110 PyFloat_FromDouble(double fval) |
| 6 | 111 { |
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112 register PyFloatObject *op = free_list; |
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113 if (op != NULL) { |
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114 free_list = (PyFloatObject *) Py_TYPE(op); |
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115 numfree--; |
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116 } else { |
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117 op = (PyFloatObject*) PyObject_MALLOC(sizeof(PyFloatObject)); |
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118 if (!op) |
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119 return PyErr_NoMemory(); |
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120 } |
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121 /* Inline PyObject_New */ |
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122 PyObject_INIT(op, &PyFloat_Type); |
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123 op->ob_fval = fval; |
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124 return (PyObject *) op; |
| 6 | 125 } |
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127 PyObject * |
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128 PyFloat_FromString(PyObject *v) |
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129 { |
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130 const char *s, *last, *end; |
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131 double x; |
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132 PyObject *s_buffer = NULL; |
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133 Py_ssize_t len; |
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134 PyObject *result = NULL; |
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135 |
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136 if (PyUnicode_Check(v)) { |
| 72475 | 137 s_buffer = _PyUnicode_TransformDecimalAndSpaceToASCII(v); |
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138 if (s_buffer == NULL) |
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139 return NULL; |
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141 if (s == NULL) { |
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142 Py_DECREF(s_buffer); |
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143 return NULL; |
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144 } |
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145 } |
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146 else if (PyObject_AsCharBuffer(v, &s, &len)) { |
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147 PyErr_SetString(PyExc_TypeError, |
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148 "float() argument must be a string or a number"); |
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149 return NULL; |
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150 } |
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151 last = s + len; |
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152 /* strip space */ |
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153 while (s < last && Py_ISSPACE(*s)) |
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154 s++; |
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155 while (s < last - 1 && Py_ISSPACE(last[-1])) |
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156 last--; |
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157 /* We don't care about overflow or underflow. If the platform |
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158 * supports them, infinities and signed zeroes (on underflow) are |
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159 * fine. */ |
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160 x = PyOS_string_to_double(s, (char **)&end, NULL); |
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161 if (end != last) { |
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162 PyErr_Format(PyExc_ValueError, |
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163 "could not convert string to float: " |
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164 "%R", v); |
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165 result = NULL; |
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166 } |
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167 else if (x == -1.0 && PyErr_Occurred()) |
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168 result = NULL; |
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169 else |
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170 result = PyFloat_FromDouble(x); |
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171 |
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172 Py_XDECREF(s_buffer); |
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173 return result; |
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174 } |
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175 |
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176 static void |
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177 float_dealloc(PyFloatObject *op) |
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178 { |
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179 if (PyFloat_CheckExact(op)) { |
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180 if (numfree >= PyFloat_MAXFREELIST) { |
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181 PyObject_FREE(op); |
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182 return; |
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183 } |
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184 numfree++; |
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185 Py_TYPE(op) = (struct _typeobject *)free_list; |
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186 free_list = op; |
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187 } |
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188 else |
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189 Py_TYPE(op)->tp_free((PyObject *)op); |
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190 } |
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191 |
| 6 | 192 double |
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193 PyFloat_AsDouble(PyObject *op) |
| 6 | 194 { |
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195 PyNumberMethods *nb; |
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196 PyFloatObject *fo; |
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197 double val; |
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198 |
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199 if (op && PyFloat_Check(op)) |
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200 return PyFloat_AS_DOUBLE((PyFloatObject*) op); |
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201 |
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202 if (op == NULL) { |
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203 PyErr_BadArgument(); |
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204 return -1; |
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205 } |
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206 |
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207 if ((nb = Py_TYPE(op)->tp_as_number) == NULL || nb->nb_float == NULL) { |
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208 PyErr_SetString(PyExc_TypeError, "a float is required"); |
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209 return -1; |
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210 } |
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212 fo = (PyFloatObject*) (*nb->nb_float) (op); |
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213 if (fo == NULL) |
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214 return -1; |
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215 if (!PyFloat_Check(fo)) { |
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216 PyErr_SetString(PyExc_TypeError, |
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217 "nb_float should return float object"); |
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218 return -1; |
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219 } |
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221 val = PyFloat_AS_DOUBLE(fo); |
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222 Py_DECREF(fo); |
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224 return val; |
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227 /* Macro and helper that convert PyObject obj to a C double and store |
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229 set to NULL, and the function invoking this macro returns NULL. If |
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230 obj is not of float, int or long type, Py_NotImplemented is incref'ed, |
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231 stored in obj, and returned from the function invoking this macro. |
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232 */ |
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233 #define CONVERT_TO_DOUBLE(obj, dbl) \ |
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234 if (PyFloat_Check(obj)) \ |
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235 dbl = PyFloat_AS_DOUBLE(obj); \ |
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236 else if (convert_to_double(&(obj), &(dbl)) < 0) \ |
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237 return obj; |
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238 |
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239 /* Methods */ |
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240 |
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241 static int |
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242 convert_to_double(PyObject **v, double *dbl) |
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243 { |
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244 register PyObject *obj = *v; |
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245 |
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246 if (PyLong_Check(obj)) { |
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247 *dbl = PyLong_AsDouble(obj); |
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248 if (*dbl == -1.0 && PyErr_Occurred()) { |
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249 *v = NULL; |
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250 return -1; |
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251 } |
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252 } |
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253 else { |
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254 Py_INCREF(Py_NotImplemented); |
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255 *v = Py_NotImplemented; |
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256 return -1; |
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257 } |
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258 return 0; |
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259 } |
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260 |
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261 static PyObject * |
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262 float_repr(PyFloatObject *v) |
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263 { |
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264 PyObject *result; |
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265 char *buf; |
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266 |
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267 buf = PyOS_double_to_string(PyFloat_AS_DOUBLE(v), |
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268 'r', 0, |
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269 Py_DTSF_ADD_DOT_0, |
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270 NULL); |
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271 if (!buf) |
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272 return PyErr_NoMemory(); |
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273 result = _PyUnicode_FromASCII(buf, strlen(buf)); |
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274 PyMem_Free(buf); |
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275 return result; |
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276 } |
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277 |
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278 /* Comparison is pretty much a nightmare. When comparing float to float, |
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279 * we do it as straightforwardly (and long-windedly) as conceivable, so |
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280 * that, e.g., Python x == y delivers the same result as the platform |
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281 * C x == y when x and/or y is a NaN. |
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282 * When mixing float with an integer type, there's no good *uniform* approach. |
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283 * Converting the double to an integer obviously doesn't work, since we |
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284 * may lose info from fractional bits. Converting the integer to a double |
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285 * also has two failure modes: (1) a long int may trigger overflow (too |
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286 * large to fit in the dynamic range of a C double); (2) even a C long may have |
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287 * more bits than fit in a C double (e.g., on a 64-bit box long may have |
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288 * 63 bits of precision, but a C double probably has only 53), and then |
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289 * we can falsely claim equality when low-order integer bits are lost by |
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290 * coercion to double. So this part is painful too. |
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291 */ |
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292 |
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293 static PyObject* |
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294 float_richcompare(PyObject *v, PyObject *w, int op) |
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295 { |
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296 double i, j; |
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297 int r = 0; |
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298 |
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299 assert(PyFloat_Check(v)); |
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300 i = PyFloat_AS_DOUBLE(v); |
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301 |
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302 /* Switch on the type of w. Set i and j to doubles to be compared, |
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303 * and op to the richcomp to use. |
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304 */ |
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305 if (PyFloat_Check(w)) |
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306 j = PyFloat_AS_DOUBLE(w); |
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307 |
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308 else if (!Py_IS_FINITE(i)) { |
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309 if (PyLong_Check(w)) |
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310 /* If i is an infinity, its magnitude exceeds any |
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311 * finite integer, so it doesn't matter which int we |
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312 * compare i with. If i is a NaN, similarly. |
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313 */ |
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314 j = 0.0; |
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315 else |
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316 goto Unimplemented; |
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317 } |
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318 |
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319 else if (PyLong_Check(w)) { |
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320 int vsign = i == 0.0 ? 0 : i < 0.0 ? -1 : 1; |
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321 int wsign = _PyLong_Sign(w); |
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322 size_t nbits; |
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323 int exponent; |
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324 |
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325 if (vsign != wsign) { |
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326 /* Magnitudes are irrelevant -- the signs alone |
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327 * determine the outcome. |
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328 */ |
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329 i = (double)vsign; |
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330 j = (double)wsign; |
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331 goto Compare; |
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332 } |
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333 /* The signs are the same. */ |
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334 /* Convert w to a double if it fits. In particular, 0 fits. */ |
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335 nbits = _PyLong_NumBits(w); |
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336 if (nbits == (size_t)-1 && PyErr_Occurred()) { |
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337 /* This long is so large that size_t isn't big enough |
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338 * to hold the # of bits. Replace with little doubles |
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339 * that give the same outcome -- w is so large that |
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340 * its magnitude must exceed the magnitude of any |
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341 * finite float. |
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342 */ |
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343 PyErr_Clear(); |
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344 i = (double)vsign; |
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345 assert(wsign != 0); |
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346 j = wsign * 2.0; |
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347 goto Compare; |
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348 } |
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349 if (nbits <= 48) { |
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350 j = PyLong_AsDouble(w); |
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351 /* It's impossible that <= 48 bits overflowed. */ |
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352 assert(j != -1.0 || ! PyErr_Occurred()); |
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353 goto Compare; |
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354 } |
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355 assert(wsign != 0); /* else nbits was 0 */ |
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356 assert(vsign != 0); /* if vsign were 0, then since wsign is |
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357 * not 0, we would have taken the |
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358 * vsign != wsign branch at the start */ |
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359 /* We want to work with non-negative numbers. */ |
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360 if (vsign < 0) { |
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361 /* "Multiply both sides" by -1; this also swaps the |
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362 * comparator. |
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363 */ |
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364 i = -i; |
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365 op = _Py_SwappedOp[op]; |
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366 } |
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367 assert(i > 0.0); |
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368 (void) frexp(i, &exponent); |
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369 /* exponent is the # of bits in v before the radix point; |
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370 * we know that nbits (the # of bits in w) > 48 at this point |
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371 */ |
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372 if (exponent < 0 || (size_t)exponent < nbits) { |
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373 i = 1.0; |
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374 j = 2.0; |
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375 goto Compare; |
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376 } |
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377 if ((size_t)exponent > nbits) { |
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378 i = 2.0; |
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379 j = 1.0; |
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380 goto Compare; |
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381 } |
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382 /* v and w have the same number of bits before the radix |
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383 * point. Construct two longs that have the same comparison |
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384 * outcome. |
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385 */ |
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386 { |
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387 double fracpart; |
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388 double intpart; |
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389 PyObject *result = NULL; |
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390 PyObject *one = NULL; |
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391 PyObject *vv = NULL; |
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392 PyObject *ww = w; |
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393 |
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394 if (wsign < 0) { |
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395 ww = PyNumber_Negative(w); |
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396 if (ww == NULL) |
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397 goto Error; |
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398 } |
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399 else |
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400 Py_INCREF(ww); |
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401 |
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402 fracpart = modf(i, &intpart); |
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403 vv = PyLong_FromDouble(intpart); |
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404 if (vv == NULL) |
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405 goto Error; |
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406 |
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407 if (fracpart != 0.0) { |
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408 /* Shift left, and or a 1 bit into vv |
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409 * to represent the lost fraction. |
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410 */ |
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411 PyObject *temp; |
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412 |
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413 one = PyLong_FromLong(1); |
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414 if (one == NULL) |
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415 goto Error; |
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416 |
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417 temp = PyNumber_Lshift(ww, one); |
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418 if (temp == NULL) |
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419 goto Error; |
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420 Py_DECREF(ww); |
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421 ww = temp; |
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422 |
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423 temp = PyNumber_Lshift(vv, one); |
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424 if (temp == NULL) |
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425 goto Error; |
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426 Py_DECREF(vv); |
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427 vv = temp; |
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428 |
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429 temp = PyNumber_Or(vv, one); |
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430 if (temp == NULL) |
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431 goto Error; |
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432 Py_DECREF(vv); |
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433 vv = temp; |
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434 } |
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435 |
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436 r = PyObject_RichCompareBool(vv, ww, op); |
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437 if (r < 0) |
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438 goto Error; |
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439 result = PyBool_FromLong(r); |
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440 Error: |
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441 Py_XDECREF(vv); |
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442 Py_XDECREF(ww); |
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443 Py_XDECREF(one); |
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444 return result; |
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445 } |
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446 } /* else if (PyLong_Check(w)) */ |
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447 |
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448 else /* w isn't float, int, or long */ |
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449 goto Unimplemented; |
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450 |
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451 Compare: |
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452 PyFPE_START_PROTECT("richcompare", return NULL) |
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453 switch (op) { |
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454 case Py_EQ: |
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455 r = i == j; |
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456 break; |
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457 case Py_NE: |
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458 r = i != j; |
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459 break; |
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460 case Py_LE: |
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461 r = i <= j; |
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462 break; |
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463 case Py_GE: |
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464 r = i >= j; |
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465 break; |
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466 case Py_LT: |
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467 r = i < j; |
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469 case Py_GT: |
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470 r = i > j; |
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471 break; |
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472 } |
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473 PyFPE_END_PROTECT(r) |
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474 return PyBool_FromLong(r); |
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475 |
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476 Unimplemented: |
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477 Py_RETURN_NOTIMPLEMENTED; |
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478 } |
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479 |
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480 static Py_hash_t |
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481 float_hash(PyFloatObject *v) |
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482 { |
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483 return _Py_HashDouble(v->ob_fval); |
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484 } |
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485 |
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486 static PyObject * |
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487 float_add(PyObject *v, PyObject *w) |
| 6 | 488 { |
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489 double a,b; |
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490 CONVERT_TO_DOUBLE(v, a); |
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491 CONVERT_TO_DOUBLE(w, b); |
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492 PyFPE_START_PROTECT("add", return 0) |
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493 a = a + b; |
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494 PyFPE_END_PROTECT(a) |
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495 return PyFloat_FromDouble(a); |
| 6 | 496 } |
| 497 | |
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498 static PyObject * |
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499 float_sub(PyObject *v, PyObject *w) |
| 6 | 500 { |
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501 double a,b; |
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502 CONVERT_TO_DOUBLE(v, a); |
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503 CONVERT_TO_DOUBLE(w, b); |
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504 PyFPE_START_PROTECT("subtract", return 0) |
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505 a = a - b; |
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506 PyFPE_END_PROTECT(a) |
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507 return PyFloat_FromDouble(a); |
| 6 | 508 } |
| 509 | |
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510 static PyObject * |
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511 float_mul(PyObject *v, PyObject *w) |
| 6 | 512 { |
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513 double a,b; |
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514 CONVERT_TO_DOUBLE(v, a); |
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515 CONVERT_TO_DOUBLE(w, b); |
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516 PyFPE_START_PROTECT("multiply", return 0) |
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517 a = a * b; |
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518 PyFPE_END_PROTECT(a) |
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519 return PyFloat_FromDouble(a); |
| 6 | 520 } |
| 521 | |
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522 static PyObject * |
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523 float_div(PyObject *v, PyObject *w) |
| 6 | 524 { |
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525 double a,b; |
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526 CONVERT_TO_DOUBLE(v, a); |
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527 CONVERT_TO_DOUBLE(w, b); |
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528 if (b == 0.0) { |
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529 PyErr_SetString(PyExc_ZeroDivisionError, |
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530 "float division by zero"); |
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531 return NULL; |
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532 } |
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533 PyFPE_START_PROTECT("divide", return 0) |
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534 a = a / b; |
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535 PyFPE_END_PROTECT(a) |
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536 return PyFloat_FromDouble(a); |
| 6 | 537 } |
| 538 | |
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539 static PyObject * |
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540 float_rem(PyObject *v, PyObject *w) |
| 6 | 541 { |
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542 double vx, wx; |
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543 double mod; |
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544 CONVERT_TO_DOUBLE(v, vx); |
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545 CONVERT_TO_DOUBLE(w, wx); |
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546 if (wx == 0.0) { |
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547 PyErr_SetString(PyExc_ZeroDivisionError, |
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548 "float modulo"); |
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549 return NULL; |
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550 } |
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551 PyFPE_START_PROTECT("modulo", return 0) |
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552 mod = fmod(vx, wx); |
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553 if (mod) { |
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554 /* ensure the remainder has the same sign as the denominator */ |
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555 if ((wx < 0) != (mod < 0)) { |
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556 mod += wx; |
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557 } |
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558 } |
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559 else { |
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560 /* the remainder is zero, and in the presence of signed zeroes |
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561 fmod returns different results across platforms; ensure |
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562 it has the same sign as the denominator. */ |
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563 mod = copysign(0.0, wx); |
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564 } |
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565 PyFPE_END_PROTECT(mod) |
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566 return PyFloat_FromDouble(mod); |
| 6 | 567 } |
| 568 | |
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569 static PyObject * |
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570 float_divmod(PyObject *v, PyObject *w) |
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571 { |
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572 double vx, wx; |
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573 double div, mod, floordiv; |
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574 CONVERT_TO_DOUBLE(v, vx); |
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575 CONVERT_TO_DOUBLE(w, wx); |
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576 if (wx == 0.0) { |
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577 PyErr_SetString(PyExc_ZeroDivisionError, "float divmod()"); |
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578 return NULL; |
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579 } |
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580 PyFPE_START_PROTECT("divmod", return 0) |
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581 mod = fmod(vx, wx); |
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582 /* fmod is typically exact, so vx-mod is *mathematically* an |
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583 exact multiple of wx. But this is fp arithmetic, and fp |
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584 vx - mod is an approximation; the result is that div may |
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585 not be an exact integral value after the division, although |
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586 it will always be very close to one. |
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587 */ |
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588 div = (vx - mod) / wx; |
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589 if (mod) { |
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590 /* ensure the remainder has the same sign as the denominator */ |
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591 if ((wx < 0) != (mod < 0)) { |
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592 mod += wx; |
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593 div -= 1.0; |
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594 } |
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595 } |
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596 else { |
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597 /* the remainder is zero, and in the presence of signed zeroes |
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598 fmod returns different results across platforms; ensure |
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599 it has the same sign as the denominator. */ |
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600 mod = copysign(0.0, wx); |
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601 } |
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602 /* snap quotient to nearest integral value */ |
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603 if (div) { |
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604 floordiv = floor(div); |
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605 if (div - floordiv > 0.5) |
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606 floordiv += 1.0; |
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607 } |
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608 else { |
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609 /* div is zero - get the same sign as the true quotient */ |
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610 floordiv = copysign(0.0, vx / wx); /* zero w/ sign of vx/wx */ |
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611 } |
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612 PyFPE_END_PROTECT(floordiv) |
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613 return Py_BuildValue("(dd)", floordiv, mod); |
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614 } |
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615 |
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616 static PyObject * |
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617 float_floor_div(PyObject *v, PyObject *w) |
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618 { |
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619 PyObject *t, *r; |
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620 |
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621 t = float_divmod(v, w); |
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622 if (t == NULL || t == Py_NotImplemented) |
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623 return t; |
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624 assert(PyTuple_CheckExact(t)); |
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625 r = PyTuple_GET_ITEM(t, 0); |
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626 Py_INCREF(r); |
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627 Py_DECREF(t); |
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628 return r; |
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629 } |
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630 |
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631 /* determine whether x is an odd integer or not; assumes that |
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632 x is not an infinity or nan. */ |
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633 #define DOUBLE_IS_ODD_INTEGER(x) (fmod(fabs(x), 2.0) == 1.0) |
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634 |
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635 static PyObject * |
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636 float_pow(PyObject *v, PyObject *w, PyObject *z) |
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638 double iv, iw, ix; |
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639 int negate_result = 0; |
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640 |
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641 if ((PyObject *)z != Py_None) { |
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642 PyErr_SetString(PyExc_TypeError, "pow() 3rd argument not " |
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643 "allowed unless all arguments are integers"); |
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644 return NULL; |
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645 } |
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646 |
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647 CONVERT_TO_DOUBLE(v, iv); |
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648 CONVERT_TO_DOUBLE(w, iw); |
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649 |
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650 /* Sort out special cases here instead of relying on pow() */ |
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651 if (iw == 0) { /* v**0 is 1, even 0**0 */ |
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652 return PyFloat_FromDouble(1.0); |
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653 } |
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654 if (Py_IS_NAN(iv)) { /* nan**w = nan, unless w == 0 */ |
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655 return PyFloat_FromDouble(iv); |
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656 } |
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657 if (Py_IS_NAN(iw)) { /* v**nan = nan, unless v == 1; 1**nan = 1 */ |
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658 return PyFloat_FromDouble(iv == 1.0 ? 1.0 : iw); |
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659 } |
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660 if (Py_IS_INFINITY(iw)) { |
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661 /* v**inf is: 0.0 if abs(v) < 1; 1.0 if abs(v) == 1; inf if |
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662 * abs(v) > 1 (including case where v infinite) |
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663 * |
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664 * v**-inf is: inf if abs(v) < 1; 1.0 if abs(v) == 1; 0.0 if |
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665 * abs(v) > 1 (including case where v infinite) |
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666 */ |
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667 iv = fabs(iv); |
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668 if (iv == 1.0) |
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669 return PyFloat_FromDouble(1.0); |
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670 else if ((iw > 0.0) == (iv > 1.0)) |
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671 return PyFloat_FromDouble(fabs(iw)); /* return inf */ |
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672 else |
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673 return PyFloat_FromDouble(0.0); |
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674 } |
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675 if (Py_IS_INFINITY(iv)) { |
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676 /* (+-inf)**w is: inf for w positive, 0 for w negative; in |
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677 * both cases, we need to add the appropriate sign if w is |
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678 * an odd integer. |
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679 */ |
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680 int iw_is_odd = DOUBLE_IS_ODD_INTEGER(iw); |
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681 if (iw > 0.0) |
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682 return PyFloat_FromDouble(iw_is_odd ? iv : fabs(iv)); |
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683 else |
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684 return PyFloat_FromDouble(iw_is_odd ? |
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685 copysign(0.0, iv) : 0.0); |
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686 } |
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687 if (iv == 0.0) { /* 0**w is: 0 for w positive, 1 for w zero |
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688 (already dealt with above), and an error |
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689 if w is negative. */ |
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690 int iw_is_odd = DOUBLE_IS_ODD_INTEGER(iw); |
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691 if (iw < 0.0) { |
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692 PyErr_SetString(PyExc_ZeroDivisionError, |
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693 "0.0 cannot be raised to a " |
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694 "negative power"); |
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695 return NULL; |
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696 } |
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697 /* use correct sign if iw is odd */ |
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698 return PyFloat_FromDouble(iw_is_odd ? iv : 0.0); |
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699 } |
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700 |
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701 if (iv < 0.0) { |
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702 /* Whether this is an error is a mess, and bumps into libm |
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703 * bugs so we have to figure it out ourselves. |
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704 */ |
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705 if (iw != floor(iw)) { |
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706 /* Negative numbers raised to fractional powers |
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707 * become complex. |
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708 */ |
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709 return PyComplex_Type.tp_as_number->nb_power(v, w, z); |
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710 } |
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711 /* iw is an exact integer, albeit perhaps a very large |
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712 * one. Replace iv by its absolute value and remember |
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713 * to negate the pow result if iw is odd. |
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714 */ |
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715 iv = -iv; |
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716 negate_result = DOUBLE_IS_ODD_INTEGER(iw); |
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717 } |
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718 |
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719 if (iv == 1.0) { /* 1**w is 1, even 1**inf and 1**nan */ |
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720 /* (-1) ** large_integer also ends up here. Here's an |
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721 * extract from the comments for the previous |
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722 * implementation explaining why this special case is |
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723 * necessary: |
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724 * |
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725 * -1 raised to an exact integer should never be exceptional. |
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726 * Alas, some libms (chiefly glibc as of early 2003) return |
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727 * NaN and set EDOM on pow(-1, large_int) if the int doesn't |
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728 * happen to be representable in a *C* integer. That's a |
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729 * bug. |
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730 */ |
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731 return PyFloat_FromDouble(negate_result ? -1.0 : 1.0); |
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732 } |
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733 |
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734 /* Now iv and iw are finite, iw is nonzero, and iv is |
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735 * positive and not equal to 1.0. We finally allow |
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736 * the platform pow to step in and do the rest. |
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737 */ |
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738 errno = 0; |
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739 PyFPE_START_PROTECT("pow", return NULL) |
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740 ix = pow(iv, iw); |
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741 PyFPE_END_PROTECT(ix) |
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742 Py_ADJUST_ERANGE1(ix); |
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743 if (negate_result) |
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744 ix = -ix; |
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745 |
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746 if (errno != 0) { |
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747 /* We don't expect any errno value other than ERANGE, but |
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748 * the range of libm bugs appears unbounded. |
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749 */ |
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750 PyErr_SetFromErrno(errno == ERANGE ? PyExc_OverflowError : |
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751 PyExc_ValueError); |
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752 return NULL; |
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753 } |
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754 return PyFloat_FromDouble(ix); |
| 6 | 755 } |
| 756 | |
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757 #undef DOUBLE_IS_ODD_INTEGER |
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758 |
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759 static PyObject * |
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760 float_neg(PyFloatObject *v) |
| 6 | 761 { |
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762 return PyFloat_FromDouble(-v->ob_fval); |
| 6 | 763 } |
| 764 | |
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765 static PyObject * |
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766 float_abs(PyFloatObject *v) |
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767 { |
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768 return PyFloat_FromDouble(fabs(v->ob_fval)); |
| 6 | 769 } |
| 770 | |
| 239 | 771 static int |
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772 float_bool(PyFloatObject *v) |
| 239 | 773 { |
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774 return v->ob_fval != 0.0; |
| 239 | 775 } |
| 776 | |
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777 static PyObject * |
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778 float_is_integer(PyObject *v) |
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779 { |
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780 double x = PyFloat_AsDouble(v); |
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781 PyObject *o; |
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782 |
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783 if (x == -1.0 && PyErr_Occurred()) |
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784 return NULL; |
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785 if (!Py_IS_FINITE(x)) |
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786 Py_RETURN_FALSE; |
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787 errno = 0; |
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788 PyFPE_START_PROTECT("is_integer", return NULL) |
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789 o = (floor(x) == x) ? Py_True : Py_False; |
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790 PyFPE_END_PROTECT(x) |
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791 if (errno != 0) { |
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792 PyErr_SetFromErrno(errno == ERANGE ? PyExc_OverflowError : |
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793 PyExc_ValueError); |
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794 return NULL; |
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795 } |
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796 Py_INCREF(o); |
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797 return o; |
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798 } |
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799 |
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800 #if 0 |
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801 static PyObject * |
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802 float_is_inf(PyObject *v) |
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803 { |
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804 double x = PyFloat_AsDouble(v); |
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805 if (x == -1.0 && PyErr_Occurred()) |
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806 return NULL; |
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807 return PyBool_FromLong((long)Py_IS_INFINITY(x)); |
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808 } |
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809 |
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810 static PyObject * |
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811 float_is_nan(PyObject *v) |
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812 { |
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813 double x = PyFloat_AsDouble(v); |
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814 if (x == -1.0 && PyErr_Occurred()) |
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815 return NULL; |
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816 return PyBool_FromLong((long)Py_IS_NAN(x)); |
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817 } |
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818 |
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819 static PyObject * |
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820 float_is_finite(PyObject *v) |
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821 { |
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822 double x = PyFloat_AsDouble(v); |
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823 if (x == -1.0 && PyErr_Occurred()) |
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824 return NULL; |
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825 return PyBool_FromLong((long)Py_IS_FINITE(x)); |
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826 } |
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827 #endif |
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828 |
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829 static PyObject * |
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830 float_trunc(PyObject *v) |
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831 { |
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832 double x = PyFloat_AsDouble(v); |
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833 double wholepart; /* integral portion of x, rounded toward 0 */ |
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834 |
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835 (void)modf(x, &wholepart); |
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836 /* Try to get out cheap if this fits in a Python int. The attempt |
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837 * to cast to long must be protected, as C doesn't define what |
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838 * happens if the double is too big to fit in a long. Some rare |
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839 * systems raise an exception then (RISCOS was mentioned as one, |
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840 * and someone using a non-default option on Sun also bumped into |
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841 * that). Note that checking for >= and <= LONG_{MIN,MAX} would |
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842 * still be vulnerable: if a long has more bits of precision than |
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843 * a double, casting MIN/MAX to double may yield an approximation, |
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844 * and if that's rounded up, then, e.g., wholepart=LONG_MAX+1 would |
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845 * yield true from the C expression wholepart<=LONG_MAX, despite |
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846 * that wholepart is actually greater than LONG_MAX. |
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847 */ |
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848 if (LONG_MIN < wholepart && wholepart < LONG_MAX) { |
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849 const long aslong = (long)wholepart; |
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850 return PyLong_FromLong(aslong); |
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851 } |
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852 return PyLong_FromDouble(wholepart); |
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853 } |
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854 |
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855 /* double_round: rounds a finite double to the closest multiple of |
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856 10**-ndigits; here ndigits is within reasonable bounds (typically, -308 <= |
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857 ndigits <= 323). Returns a Python float, or sets a Python error and |
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858 returns NULL on failure (OverflowError and memory errors are possible). */ |
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859 |
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860 #ifndef PY_NO_SHORT_FLOAT_REPR |
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861 /* version of double_round that uses the correctly-rounded string<->double |
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862 conversions from Python/dtoa.c */ |
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863 |
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864 static PyObject * |
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865 double_round(double x, int ndigits) { |
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866 |
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867 double rounded; |
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868 Py_ssize_t buflen, mybuflen=100; |
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869 char *buf, *buf_end, shortbuf[100], *mybuf=shortbuf; |
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870 int decpt, sign; |
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871 PyObject *result = NULL; |
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872 _Py_SET_53BIT_PRECISION_HEADER; |
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873 |
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874 /* round to a decimal string */ |
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875 _Py_SET_53BIT_PRECISION_START; |
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876 buf = _Py_dg_dtoa(x, 3, ndigits, &decpt, &sign, &buf_end); |
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877 _Py_SET_53BIT_PRECISION_END; |
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878 if (buf == NULL) { |
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879 PyErr_NoMemory(); |
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880 return NULL; |
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881 } |
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882 |
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883 /* Get new buffer if shortbuf is too small. Space needed <= buf_end - |
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884 buf + 8: (1 extra for '0', 1 for sign, 5 for exp, 1 for '\0'). */ |
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885 buflen = buf_end - buf; |
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886 if (buflen + 8 > mybuflen) { |
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887 mybuflen = buflen+8; |
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888 mybuf = (char *)PyMem_Malloc(mybuflen); |
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889 if (mybuf == NULL) { |
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890 PyErr_NoMemory(); |
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891 goto exit; |
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892 } |
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893 } |
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894 /* copy buf to mybuf, adding exponent, sign and leading 0 */ |
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895 PyOS_snprintf(mybuf, mybuflen, "%s0%se%d", (sign ? "-" : ""), |
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896 buf, decpt - (int)buflen); |
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897 |
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898 /* and convert the resulting string back to a double */ |
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899 errno = 0; |
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900 _Py_SET_53BIT_PRECISION_START; |
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901 rounded = _Py_dg_strtod(mybuf, NULL); |
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902 _Py_SET_53BIT_PRECISION_END; |
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903 if (errno == ERANGE && fabs(rounded) >= 1.) |
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904 PyErr_SetString(PyExc_OverflowError, |
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905 "rounded value too large to represent"); |
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906 else |
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907 result = PyFloat_FromDouble(rounded); |
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908 |
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909 /* done computing value; now clean up */ |
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910 if (mybuf != shortbuf) |
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911 PyMem_Free(mybuf); |
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912 exit: |
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913 _Py_dg_freedtoa(buf); |
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914 return result; |
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915 } |
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916 |
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917 #else /* PY_NO_SHORT_FLOAT_REPR */ |
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918 |
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919 /* fallback version, to be used when correctly rounded binary<->decimal |
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920 conversions aren't available */ |
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921 |
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922 static PyObject * |
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923 double_round(double x, int ndigits) { |
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924 double pow1, pow2, y, z; |
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925 if (ndigits >= 0) { |
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926 if (ndigits > 22) { |
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927 /* pow1 and pow2 are each safe from overflow, but |
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928 pow1*pow2 ~= pow(10.0, ndigits) might overflow */ |
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929 pow1 = pow(10.0, (double)(ndigits-22)); |
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930 pow2 = 1e22; |
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931 } |
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932 else { |
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933 pow1 = pow(10.0, (double)ndigits); |
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934 pow2 = 1.0; |
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935 } |
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936 y = (x*pow1)*pow2; |
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937 /* if y overflows, then rounded value is exactly x */ |
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938 if (!Py_IS_FINITE(y)) |
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939 return PyFloat_FromDouble(x); |
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940 } |
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941 else { |
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942 pow1 = pow(10.0, (double)-ndigits); |
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943 pow2 = 1.0; /* unused; silences a gcc compiler warning */ |
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944 y = x / pow1; |
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945 } |
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946 |
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947 z = round(y); |
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948 if (fabs(y-z) == 0.5) |
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949 /* halfway between two integers; use round-half-even */ |
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950 z = 2.0*round(y/2.0); |
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951 |
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952 if (ndigits >= 0) |
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953 z = (z / pow2) / pow1; |
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954 else |
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955 z *= pow1; |
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956 |
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957 /* if computation resulted in overflow, raise OverflowError */ |
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958 if (!Py_IS_FINITE(z)) { |
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959 PyErr_SetString(PyExc_OverflowError, |
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960 "overflow occurred during round"); |
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961 return NULL; |
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962 } |
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963 |
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964 return PyFloat_FromDouble(z); |
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965 } |
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966 |
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967 #endif /* PY_NO_SHORT_FLOAT_REPR */ |
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968 |
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969 /* round a Python float v to the closest multiple of 10**-ndigits */ |
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970 |
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971 static PyObject * |
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972 float_round(PyObject *v, PyObject *args) |
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973 { |
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974 double x, rounded; |
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975 PyObject *o_ndigits = NULL; |
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976 Py_ssize_t ndigits; |
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977 |
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978 x = PyFloat_AsDouble(v); |
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979 if (!PyArg_ParseTuple(args, "|O", &o_ndigits)) |
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980 return NULL; |
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981 if (o_ndigits == NULL) { |
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982 /* single-argument round: round to nearest integer */ |
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983 rounded = round(x); |
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984 if (fabs(x-rounded) == 0.5) |
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985 /* halfway case: round to even */ |
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986 rounded = 2.0*round(x/2.0); |
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987 return PyLong_FromDouble(rounded); |
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988 } |
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989 |
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990 /* interpret second argument as a Py_ssize_t; clips on overflow */ |
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991 ndigits = PyNumber_AsSsize_t(o_ndigits, NULL); |
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992 if (ndigits == -1 && PyErr_Occurred()) |
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993 return NULL; |
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994 |
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995 /* nans and infinities round to themselves */ |
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996 if (!Py_IS_FINITE(x)) |
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997 return PyFloat_FromDouble(x); |
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998 |
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999 /* Deal with extreme values for ndigits. For ndigits > NDIGITS_MAX, x |
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1000 always rounds to itself. For ndigits < NDIGITS_MIN, x always |
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1001 rounds to +-0.0. Here 0.30103 is an upper bound for log10(2). */ |
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1002 #define NDIGITS_MAX ((int)((DBL_MANT_DIG-DBL_MIN_EXP) * 0.30103)) |
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1003 #define NDIGITS_MIN (-(int)((DBL_MAX_EXP + 1) * 0.30103)) |
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1004 if (ndigits > NDIGITS_MAX) |
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1005 /* return x */ |
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1006 return PyFloat_FromDouble(x); |
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1007 else if (ndigits < NDIGITS_MIN) |
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1008 /* return 0.0, but with sign of x */ |
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1009 return PyFloat_FromDouble(0.0*x); |
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1010 else |
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1011 /* finite x, and ndigits is not unreasonably large */ |
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1012 return double_round(x, (int)ndigits); |
|
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1013 #undef NDIGITS_MAX |
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1014 #undef NDIGITS_MIN |
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1015 } |
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1016 |
|
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1017 static PyObject * |
|
13454
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ANSI-fication of the sources.
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1018 float_float(PyObject *v) |
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1019 { |
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1020 if (PyFloat_CheckExact(v)) |
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1021 Py_INCREF(v); |
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1022 else |
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1023 v = PyFloat_FromDouble(((PyFloatObject *)v)->ob_fval); |
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1024 return v; |
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1025 } |
|
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1026 |
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1027 /* turn ASCII hex characters into integer values and vice versa */ |
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1028 |
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1029 static char |
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1030 char_from_hex(int x) |
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1031 { |
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1032 assert(0 <= x && x < 16); |
|
72918
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Issue #13088: Add shared Py_hexdigits constant to format a number into base 16
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1033 return Py_hexdigits[x]; |
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1034 } |
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1035 |
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1036 static int |
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1037 hex_from_char(char c) { |
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1038 int x; |
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1039 switch(c) { |
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1040 case '0': |
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1041 x = 0; |
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1042 break; |
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1043 case '1': |
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1044 x = 1; |
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1045 break; |
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1046 case '2': |
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1047 x = 2; |
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1048 break; |
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1049 case '3': |
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1050 x = 3; |
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1051 break; |
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1052 case '4': |
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1053 x = 4; |
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1054 break; |
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1055 case '5': |
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1056 x = 5; |
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1057 break; |
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1058 case '6': |
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1059 x = 6; |
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1060 break; |
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1061 case '7': |
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1062 x = 7; |
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1063 break; |
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1064 case '8': |
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1065 x = 8; |
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1066 break; |
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1067 case '9': |
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1068 x = 9; |
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1069 break; |
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1070 case 'a': |
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1071 case 'A': |
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1072 x = 10; |
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1073 break; |
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1074 case 'b': |
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1075 case 'B': |
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1076 x = 11; |
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1077 break; |
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1078 case 'c': |
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1079 case 'C': |
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1080 x = 12; |
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1081 break; |
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1082 case 'd': |
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1083 case 'D': |
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1084 x = 13; |
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1085 break; |
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1086 case 'e': |
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1087 case 'E': |
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1088 x = 14; |
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1089 break; |
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1090 case 'f': |
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1091 case 'F': |
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1092 x = 15; |
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1093 break; |
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1094 default: |
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1095 x = -1; |
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1096 break; |
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1097 } |
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1098 return x; |
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1099 } |
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1100 |
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1101 /* convert a float to a hexadecimal string */ |
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1102 |
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1103 /* TOHEX_NBITS is DBL_MANT_DIG rounded up to the next integer |
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1104 of the form 4k+1. */ |
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1105 #define TOHEX_NBITS DBL_MANT_DIG + 3 - (DBL_MANT_DIG+2)%4 |
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1106 |
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1107 static PyObject * |
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1108 float_hex(PyObject *v) |
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1109 { |
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1110 double x, m; |
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1111 int e, shift, i, si, esign; |
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1112 /* Space for 1+(TOHEX_NBITS-1)/4 digits, a decimal point, and the |
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1113 trailing NUL byte. */ |
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1114 char s[(TOHEX_NBITS-1)/4+3]; |
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1115 |
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1116 CONVERT_TO_DOUBLE(v, x); |
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1117 |
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1118 if (Py_IS_NAN(x) || Py_IS_INFINITY(x)) |
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1119 return float_repr((PyFloatObject *)v); |
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1120 |
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1121 if (x == 0.0) { |
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1122 if (copysign(1.0, x) == -1.0) |
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1123 return PyUnicode_FromString("-0x0.0p+0"); |
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1124 else |
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1125 return PyUnicode_FromString("0x0.0p+0"); |
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1126 } |
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1127 |
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1128 m = frexp(fabs(x), &e); |
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1129 shift = 1 - Py_MAX(DBL_MIN_EXP - e, 0); |
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1130 m = ldexp(m, shift); |
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1131 e -= shift; |
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1132 |
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1133 si = 0; |
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1134 s[si] = char_from_hex((int)m); |
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1135 si++; |
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1136 m -= (int)m; |
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1137 s[si] = '.'; |
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1138 si++; |
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1139 for (i=0; i < (TOHEX_NBITS-1)/4; i++) { |
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1140 m *= 16.0; |
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1141 s[si] = char_from_hex((int)m); |
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1142 si++; |
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1143 m -= (int)m; |
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1144 } |
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1145 s[si] = '\0'; |
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1146 |
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1147 if (e < 0) { |
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1148 esign = (int)'-'; |
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1149 e = -e; |
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1150 } |
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1151 else |
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1152 esign = (int)'+'; |
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1153 |
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1154 if (x < 0.0) |
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1155 return PyUnicode_FromFormat("-0x%sp%c%d", s, esign, e); |
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1156 else |
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1157 return PyUnicode_FromFormat("0x%sp%c%d", s, esign, e); |
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1158 } |
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1159 |
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1160 PyDoc_STRVAR(float_hex_doc, |
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1161 "float.hex() -> string\n\ |
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1162 \n\ |
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1163 Return a hexadecimal representation of a floating-point number.\n\ |
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1164 >>> (-0.1).hex()\n\ |
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1165 '-0x1.999999999999ap-4'\n\ |
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1166 >>> 3.14159.hex()\n\ |
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1167 '0x1.921f9f01b866ep+1'"); |
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1168 |
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1169 /* Convert a hexadecimal string to a float. */ |
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1170 |
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1171 static PyObject * |
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1172 float_fromhex(PyObject *cls, PyObject *arg) |
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1173 { |
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1174 PyObject *result_as_float, *result; |
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1175 double x; |
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1176 long exp, top_exp, lsb, key_digit; |
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1177 char *s, *coeff_start, *s_store, *coeff_end, *exp_start, *s_end; |
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1178 int half_eps, digit, round_up, negate=0; |
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1179 Py_ssize_t length, ndigits, fdigits, i; |
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1180 |
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1181 /* |
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1182 * For the sake of simplicity and correctness, we impose an artificial |
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1183 * limit on ndigits, the total number of hex digits in the coefficient |
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1184 * The limit is chosen to ensure that, writing exp for the exponent, |
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1185 * |
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1186 * (1) if exp > LONG_MAX/2 then the value of the hex string is |
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1187 * guaranteed to overflow (provided it's nonzero) |
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1188 * |
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1189 * (2) if exp < LONG_MIN/2 then the value of the hex string is |
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1190 * guaranteed to underflow to 0. |
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1191 * |
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1192 * (3) if LONG_MIN/2 <= exp <= LONG_MAX/2 then there's no danger of |
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1193 * overflow in the calculation of exp and top_exp below. |
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1194 * |
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1195 * More specifically, ndigits is assumed to satisfy the following |
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1196 * inequalities: |
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1197 * |
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1198 * 4*ndigits <= DBL_MIN_EXP - DBL_MANT_DIG - LONG_MIN/2 |
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1199 * 4*ndigits <= LONG_MAX/2 + 1 - DBL_MAX_EXP |
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1200 * |
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1201 * If either of these inequalities is not satisfied, a ValueError is |
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1202 * raised. Otherwise, write x for the value of the hex string, and |
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1203 * assume x is nonzero. Then |
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1204 * |
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1205 * 2**(exp-4*ndigits) <= |x| < 2**(exp+4*ndigits). |
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1206 * |
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1207 * Now if exp > LONG_MAX/2 then: |
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1208 * |
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1209 * exp - 4*ndigits >= LONG_MAX/2 + 1 - (LONG_MAX/2 + 1 - DBL_MAX_EXP) |
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1210 * = DBL_MAX_EXP |
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1211 * |
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1212 * so |x| >= 2**DBL_MAX_EXP, which is too large to be stored in C |
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1213 * double, so overflows. If exp < LONG_MIN/2, then |
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1214 * |
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1215 * exp + 4*ndigits <= LONG_MIN/2 - 1 + ( |
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1216 * DBL_MIN_EXP - DBL_MANT_DIG - LONG_MIN/2) |
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1217 * = DBL_MIN_EXP - DBL_MANT_DIG - 1 |
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1218 * |
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1219 * and so |x| < 2**(DBL_MIN_EXP-DBL_MANT_DIG-1), hence underflows to 0 |
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1220 * when converted to a C double. |
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1221 * |
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1222 * It's easy to show that if LONG_MIN/2 <= exp <= LONG_MAX/2 then both |
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1223 * exp+4*ndigits and exp-4*ndigits are within the range of a long. |
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1224 */ |
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1225 |
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1226 s = _PyUnicode_AsStringAndSize(arg, &length); |
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1227 if (s == NULL) |
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1228 return NULL; |
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1229 s_end = s + length; |
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changeset
|
1230 |
|
61467
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changeset
|
1231 /******************** |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
1232 * Parse the string * |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
1233 ********************/ |
|
48497
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Merged revisions 64974 via svnmerge from
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|
1234 |
|
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changeset
|
1235 /* leading whitespace */ |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
1236 while (Py_ISSPACE(*s)) |
|
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diff
changeset
|
1237 s++; |
|
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Merged revisions 64974 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
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diff
changeset
|
1238 |
|
61467
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Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
1239 /* infinities and nans */ |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1240 x = _Py_parse_inf_or_nan(s, &coeff_end); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
1241 if (coeff_end != s) { |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
1242 s = coeff_end; |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
1243 goto finished; |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1244 } |
|
54232
4501b638fc3f
Refactor to remove duplicated nan/inf parsing code in
Mark Dickinson <dickinsm@gmail.com>
parents:
54001
diff
changeset
|
1245 |
|
61467
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changeset
|
1246 /* optional sign */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
1247 if (*s == '-') { |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
1248 s++; |
|
f197407bdba2
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changeset
|
1249 negate = 1; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
1250 } |
|
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|
1251 else if (*s == '+') |
|
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|
1252 s++; |
|
48497
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|
1253 |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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|
1254 /* [0x] */ |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
1255 s_store = s; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
1256 if (*s == '0') { |
|
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|
1257 s++; |
|
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|
1258 if (*s == 'x' || *s == 'X') |
|
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|
1259 s++; |
|
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|
1260 else |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
1261 s = s_store; |
|
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|
1262 } |
|
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|
1263 |
|
61467
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changeset
|
1264 /* coefficient: <integer> [. <fraction>] */ |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
1265 coeff_start = s; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
1266 while (hex_from_char(*s) >= 0) |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
1267 s++; |
|
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|
1268 s_store = s; |
|
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|
1269 if (*s == '.') { |
|
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|
1270 s++; |
|
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|
1271 while (hex_from_char(*s) >= 0) |
|
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|
1272 s++; |
|
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|
1273 coeff_end = s-1; |
|
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|
1274 } |
|
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|
1275 else |
|
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|
1276 coeff_end = s; |
|
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|
1277 |
|
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|
1278 /* ndigits = total # of hex digits; fdigits = # after point */ |
|
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|
1279 ndigits = coeff_end - coeff_start; |
|
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|
1280 fdigits = coeff_end - s_store; |
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|
1281 if (ndigits == 0) |
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|
1282 goto parse_error; |
|
84022
41a2cbe23349
Reuse Py_MIN and Py_MAX macros: remove duplicate MIN/MAX macros
Victor Stinner <victor.stinner@gmail.com>
parents:
83433
diff
changeset
|
1283 if (ndigits > Py_MIN(DBL_MIN_EXP - DBL_MANT_DIG - LONG_MIN/2, |
|
41a2cbe23349
Reuse Py_MIN and Py_MAX macros: remove duplicate MIN/MAX macros
Victor Stinner <victor.stinner@gmail.com>
parents:
83433
diff
changeset
|
1284 LONG_MAX/2 + 1 - DBL_MAX_EXP)/4) |
|
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|
1285 goto insane_length_error; |
|
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|
1286 |
|
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|
1287 /* [p <exponent>] */ |
|
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|
1288 if (*s == 'p' || *s == 'P') { |
|
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|
1289 s++; |
|
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|
1290 exp_start = s; |
|
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|
1291 if (*s == '-' || *s == '+') |
|
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|
1292 s++; |
|
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changeset
|
1293 if (!('0' <= *s && *s <= '9')) |
|
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changeset
|
1294 goto parse_error; |
|
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|
1295 s++; |
|
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changeset
|
1296 while ('0' <= *s && *s <= '9') |
|
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|
1297 s++; |
|
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changeset
|
1298 exp = strtol(exp_start, NULL, 10); |
|
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|
1299 } |
|
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|
1300 else |
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|
1301 exp = 0; |
|
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|
1302 |
|
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|
1303 /* for 0 <= j < ndigits, HEX_DIGIT(j) gives the jth most significant digit */ |
|
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|
1304 #define HEX_DIGIT(j) hex_from_char(*((j) < fdigits ? \ |
|
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|
1305 coeff_end-(j) : \ |
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|
1306 coeff_end-1-(j))) |
|
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|
1307 |
|
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|
1308 /******************************************* |
|
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|
1309 * Compute rounded value of the hex string * |
|
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|
1310 *******************************************/ |
|
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|
1311 |
|
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changeset
|
1312 /* Discard leading zeros, and catch extreme overflow and underflow */ |
|
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|
1313 while (ndigits > 0 && HEX_DIGIT(ndigits-1) == 0) |
|
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|
1314 ndigits--; |
|
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|
1315 if (ndigits == 0 || exp < LONG_MIN/2) { |
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|
1316 x = 0.0; |
|
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|
1317 goto finished; |
|
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|
1318 } |
|
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|
1319 if (exp > LONG_MAX/2) |
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changeset
|
1320 goto overflow_error; |
|
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|
1321 |
|
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|
1322 /* Adjust exponent for fractional part. */ |
|
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changeset
|
1323 exp = exp - 4*((long)fdigits); |
|
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|
1324 |
|
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|
1325 /* top_exp = 1 more than exponent of most sig. bit of coefficient */ |
|
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changeset
|
1326 top_exp = exp + 4*((long)ndigits - 1); |
|
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changeset
|
1327 for (digit = HEX_DIGIT(ndigits-1); digit != 0; digit /= 2) |
|
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|
1328 top_exp++; |
|
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changeset
|
1329 |
|
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changeset
|
1330 /* catch almost all nonextreme cases of overflow and underflow here */ |
|
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changeset
|
1331 if (top_exp < DBL_MIN_EXP - DBL_MANT_DIG) { |
|
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|
1332 x = 0.0; |
|
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|
1333 goto finished; |
|
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|
1334 } |
|
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changeset
|
1335 if (top_exp > DBL_MAX_EXP) |
|
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changeset
|
1336 goto overflow_error; |
|
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|
1337 |
|
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changeset
|
1338 /* lsb = exponent of least significant bit of the *rounded* value. |
|
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1339 This is top_exp - DBL_MANT_DIG unless result is subnormal. */ |
|
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1340 lsb = Py_MAX(top_exp, (long)DBL_MIN_EXP) - DBL_MANT_DIG; |
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1341 |
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1342 x = 0.0; |
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1343 if (exp >= lsb) { |
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1344 /* no rounding required */ |
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1345 for (i = ndigits-1; i >= 0; i--) |
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1346 x = 16.0*x + HEX_DIGIT(i); |
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1347 x = ldexp(x, (int)(exp)); |
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1348 goto finished; |
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1349 } |
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1350 /* rounding required. key_digit is the index of the hex digit |
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1351 containing the first bit to be rounded away. */ |
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1352 half_eps = 1 << (int)((lsb - exp - 1) % 4); |
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1353 key_digit = (lsb - exp - 1) / 4; |
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1354 for (i = ndigits-1; i > key_digit; i--) |
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1355 x = 16.0*x + HEX_DIGIT(i); |
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1356 digit = HEX_DIGIT(key_digit); |
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1357 x = 16.0*x + (double)(digit & (16-2*half_eps)); |
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1358 |
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1359 /* round-half-even: round up if bit lsb-1 is 1 and at least one of |
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1360 bits lsb, lsb-2, lsb-3, lsb-4, ... is 1. */ |
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1361 if ((digit & half_eps) != 0) { |
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1362 round_up = 0; |
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1363 if ((digit & (3*half_eps-1)) != 0 || |
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1364 (half_eps == 8 && (HEX_DIGIT(key_digit+1) & 1) != 0)) |
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1365 round_up = 1; |
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1366 else |
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1367 for (i = key_digit-1; i >= 0; i--) |
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1368 if (HEX_DIGIT(i) != 0) { |
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1369 round_up = 1; |
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1370 break; |
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1371 } |
| 62834 | 1372 if (round_up) { |
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1373 x += 2*half_eps; |
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1374 if (top_exp == DBL_MAX_EXP && |
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1375 x == ldexp((double)(2*half_eps), DBL_MANT_DIG)) |
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1376 /* overflow corner case: pre-rounded value < |
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1377 2**DBL_MAX_EXP; rounded=2**DBL_MAX_EXP. */ |
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1378 goto overflow_error; |
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1379 } |
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1380 } |
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1381 x = ldexp(x, (int)(exp+4*key_digit)); |
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1382 |
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1383 finished: |
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1384 /* optional trailing whitespace leading to the end of the string */ |
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1385 while (Py_ISSPACE(*s)) |
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1386 s++; |
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1387 if (s != s_end) |
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1388 goto parse_error; |
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1389 result_as_float = Py_BuildValue("(d)", negate ? -x : x); |
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1390 if (result_as_float == NULL) |
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1391 return NULL; |
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1392 result = PyObject_CallObject(cls, result_as_float); |
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1393 Py_DECREF(result_as_float); |
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1394 return result; |
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1395 |
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1396 overflow_error: |
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1397 PyErr_SetString(PyExc_OverflowError, |
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1398 "hexadecimal value too large to represent as a float"); |
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1399 return NULL; |
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1400 |
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1401 parse_error: |
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1402 PyErr_SetString(PyExc_ValueError, |
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1403 "invalid hexadecimal floating-point string"); |
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1404 return NULL; |
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1405 |
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1406 insane_length_error: |
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1407 PyErr_SetString(PyExc_ValueError, |
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1408 "hexadecimal string too long to convert"); |
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1409 return NULL; |
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1410 } |
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1411 |
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1412 PyDoc_STRVAR(float_fromhex_doc, |
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1413 "float.fromhex(string) -> float\n\ |
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1414 \n\ |
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1415 Create a floating-point number from a hexadecimal string.\n\ |
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1416 >>> float.fromhex('0x1.ffffp10')\n\ |
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1417 2047.984375\n\ |
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1418 >>> float.fromhex('-0x1p-1074')\n\ |
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1419 -4.9406564584124654e-324"); |
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1420 |
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1421 |
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1422 static PyObject * |
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1423 float_as_integer_ratio(PyObject *v, PyObject *unused) |
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1424 { |
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1425 double self; |
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1426 double float_part; |
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1427 int exponent; |
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1428 int i; |
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1429 |
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1430 PyObject *prev; |
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1431 PyObject *py_exponent = NULL; |
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1432 PyObject *numerator = NULL; |
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1433 PyObject *denominator = NULL; |
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1434 PyObject *result_pair = NULL; |
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1435 PyNumberMethods *long_methods = PyLong_Type.tp_as_number; |
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1436 |
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1437 #define INPLACE_UPDATE(obj, call) \ |
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1438 prev = obj; \ |
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1439 obj = call; \ |
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1440 Py_DECREF(prev); \ |
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1441 |
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1442 CONVERT_TO_DOUBLE(v, self); |
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1443 |
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1444 if (Py_IS_INFINITY(self)) { |
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1445 PyErr_SetString(PyExc_OverflowError, |
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1446 "Cannot pass infinity to float.as_integer_ratio."); |
|
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1447 return NULL; |
|
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1448 } |
|
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|
1449 if (Py_IS_NAN(self)) { |
|
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|
1450 PyErr_SetString(PyExc_ValueError, |
|
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|
1451 "Cannot pass NaN to float.as_integer_ratio."); |
|
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|
1452 return NULL; |
|
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|
1453 } |
|
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|
1454 |
|
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|
1455 PyFPE_START_PROTECT("as_integer_ratio", goto error); |
|
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|
1456 float_part = frexp(self, &exponent); /* self == float_part * 2**exponent exactly */ |
|
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|
1457 PyFPE_END_PROTECT(float_part); |
|
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1458 |
|
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1459 for (i=0; i<300 && float_part != floor(float_part) ; i++) { |
|
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1460 float_part *= 2.0; |
|
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|
1461 exponent--; |
|
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1462 } |
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1463 /* self == float_part * 2**exponent exactly and float_part is integral. |
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1464 If FLT_RADIX != 2, the 300 steps may leave a tiny fractional part |
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1465 to be truncated by PyLong_FromDouble(). */ |
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1466 |
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1467 numerator = PyLong_FromDouble(float_part); |
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1468 if (numerator == NULL) goto error; |
|
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1469 |
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1470 /* fold in 2**exponent */ |
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1471 denominator = PyLong_FromLong(1); |
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1472 py_exponent = PyLong_FromLong(labs((long)exponent)); |
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1473 if (py_exponent == NULL) goto error; |
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1474 INPLACE_UPDATE(py_exponent, |
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1475 long_methods->nb_lshift(denominator, py_exponent)); |
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1476 if (py_exponent == NULL) goto error; |
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1477 if (exponent > 0) { |
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1478 INPLACE_UPDATE(numerator, |
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1479 long_methods->nb_multiply(numerator, py_exponent)); |
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1480 if (numerator == NULL) goto error; |
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1481 } |
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1482 else { |
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1483 Py_DECREF(denominator); |
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1484 denominator = py_exponent; |
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1485 py_exponent = NULL; |
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1486 } |
|
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1487 |
|
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1488 result_pair = PyTuple_Pack(2, numerator, denominator); |
|
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1489 |
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1490 #undef INPLACE_UPDATE |
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1491 error: |
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1492 Py_XDECREF(py_exponent); |
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1493 Py_XDECREF(denominator); |
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1494 Py_XDECREF(numerator); |
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1495 return result_pair; |
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1496 } |
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1497 |
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1498 PyDoc_STRVAR(float_as_integer_ratio_doc, |
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1499 "float.as_integer_ratio() -> (int, int)\n" |
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1500 "\n" |
|
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1501 "Returns a pair of integers, whose ratio is exactly equal to the original\n" |
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|
1502 "float and with a positive denominator.\n" |
| 49493 | 1503 "Raises OverflowError on infinities and a ValueError on NaNs.\n" |
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1504 "\n" |
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1505 ">>> (10.0).as_integer_ratio()\n" |
|
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|
1506 "(10, 1)\n" |
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1507 ">>> (0.0).as_integer_ratio()\n" |
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1508 "(0, 1)\n" |
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1509 ">>> (-.25).as_integer_ratio()\n" |
|
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1510 "(-1, 4)"); |
|
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1511 |
|
1049
2ed511171809
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Guido van Rossum <guido@python.org>
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|
1512 |
|
24280
1598a1e473e2
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Jeremy Hylton <jeremy@alum.mit.edu>
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|
1513 static PyObject * |
|
19552
6c30d20d27f2
Make int, long and float subclassable.
Guido van Rossum <guido@python.org>
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diff
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|
1514 float_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds); |
|
6c30d20d27f2
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|
1515 |
|
18933
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|
1516 static PyObject * |
|
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|
1517 float_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
|
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1518 { |
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1519 PyObject *x = Py_False; /* Integer zero */ |
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1520 static char *kwlist[] = {"x", 0}; |
|
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1521 |
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1522 if (type != &PyFloat_Type) |
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1523 return float_subtype_new(type, args, kwds); /* Wimp out */ |
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1524 if (!PyArg_ParseTupleAndKeywords(args, kwds, "|O:float", kwlist, &x)) |
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1525 return NULL; |
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1526 /* If it's a string, but not a string subclass, use |
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1527 PyFloat_FromString. */ |
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1528 if (PyUnicode_CheckExact(x)) |
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1529 return PyFloat_FromString(x); |
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|
1530 return PyNumber_Float(x); |
|
18933
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1531 } |
|
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1532 |
|
19552
6c30d20d27f2
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Guido van Rossum <guido@python.org>
parents:
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|
1533 /* Wimpy, slow approach to tp_new calls for subtypes of float: |
|
6c30d20d27f2
Make int, long and float subclassable.
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|
1534 first create a regular float from whatever arguments we got, |
|
6c30d20d27f2
Make int, long and float subclassable.
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|
1535 then allocate a subtype instance and initialize its ob_fval |
|
6c30d20d27f2
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|
1536 from the regular float. The regular float is then thrown away. |
|
6c30d20d27f2
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|
1537 */ |
|
6c30d20d27f2
Make int, long and float subclassable.
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|
1538 static PyObject * |
|
6c30d20d27f2
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Guido van Rossum <guido@python.org>
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19457
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|
1539 float_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
|
6c30d20d27f2
Make int, long and float subclassable.
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|
1540 { |
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1541 PyObject *tmp, *newobj; |
|
19552
6c30d20d27f2
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1542 |
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1543 assert(PyType_IsSubtype(type, &PyFloat_Type)); |
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1544 tmp = float_new(&PyFloat_Type, args, kwds); |
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1545 if (tmp == NULL) |
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1546 return NULL; |
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1547 assert(PyFloat_CheckExact(tmp)); |
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1548 newobj = type->tp_alloc(type, 0); |
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1549 if (newobj == NULL) { |
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1550 Py_DECREF(tmp); |
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1551 return NULL; |
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1552 } |
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1553 ((PyFloatObject *)newobj)->ob_fval = ((PyFloatObject *)tmp)->ob_fval; |
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1554 Py_DECREF(tmp); |
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1555 return newobj; |
|
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1556 } |
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1557 |
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1558 static PyObject * |
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1559 float_getnewargs(PyFloatObject *v) |
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1560 { |
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1561 return Py_BuildValue("(d)", v->ob_fval); |
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1562 } |
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1563 |
| 34972 | 1564 /* this is for the benefit of the pack/unpack routines below */ |
| 1565 | |
| 1566 typedef enum { | |
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1567 unknown_format, ieee_big_endian_format, ieee_little_endian_format |
| 34972 | 1568 } float_format_type; |
| 1569 | |
| 1570 static float_format_type double_format, float_format; | |
| 1571 static float_format_type detected_double_format, detected_float_format; | |
| 1572 | |
| 1573 static PyObject * | |
| 1574 float_getformat(PyTypeObject *v, PyObject* arg) | |
| 1575 { | |
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1576 char* s; |
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1577 float_format_type r; |
| 34972 | 1578 |
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1579 if (!PyUnicode_Check(arg)) { |
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1580 PyErr_Format(PyExc_TypeError, |
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1581 "__getformat__() argument must be string, not %.500s", |
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1582 Py_TYPE(arg)->tp_name); |
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1583 return NULL; |
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1584 } |
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1585 s = _PyUnicode_AsString(arg); |
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1586 if (s == NULL) |
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1587 return NULL; |
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1588 if (strcmp(s, "double") == 0) { |
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1589 r = double_format; |
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1590 } |
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1591 else if (strcmp(s, "float") == 0) { |
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1592 r = float_format; |
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1593 } |
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1594 else { |
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1595 PyErr_SetString(PyExc_ValueError, |
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1596 "__getformat__() argument 1 must be " |
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1597 "'double' or 'float'"); |
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1598 return NULL; |
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1599 } |
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1600 |
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1601 switch (r) { |
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1602 case unknown_format: |
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1603 return PyUnicode_FromString("unknown"); |
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1604 case ieee_little_endian_format: |
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1605 return PyUnicode_FromString("IEEE, little-endian"); |
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1606 case ieee_big_endian_format: |
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1607 return PyUnicode_FromString("IEEE, big-endian"); |
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1608 default: |
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1609 Py_FatalError("insane float_format or double_format"); |
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1610 return NULL; |
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1611 } |
| 34972 | 1612 } |
| 1613 | |
| 1614 PyDoc_STRVAR(float_getformat_doc, | |
| 1615 "float.__getformat__(typestr) -> string\n" | |
| 1616 "\n" | |
| 1617 "You probably don't want to use this function. It exists mainly to be\n" | |
| 1618 "used in Python's test suite.\n" | |
| 1619 "\n" | |
| 1620 "typestr must be 'double' or 'float'. This function returns whichever of\n" | |
| 1621 "'unknown', 'IEEE, big-endian' or 'IEEE, little-endian' best describes the\n" | |
| 1622 "format of floating point numbers used by the C type named by typestr."); | |
| 1623 | |
| 1624 static PyObject * | |
| 1625 float_setformat(PyTypeObject *v, PyObject* args) | |
| 1626 { | |
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1627 char* typestr; |
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1628 char* format; |
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1629 float_format_type f; |
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1630 float_format_type detected; |
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1631 float_format_type *p; |
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1632 |
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1633 if (!PyArg_ParseTuple(args, "ss:__setformat__", &typestr, &format)) |
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1634 return NULL; |
| 34972 | 1635 |
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1636 if (strcmp(typestr, "double") == 0) { |
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1637 p = &double_format; |
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1638 detected = detected_double_format; |
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1639 } |
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1640 else if (strcmp(typestr, "float") == 0) { |
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1641 p = &float_format; |
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1642 detected = detected_float_format; |
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1643 } |
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1644 else { |
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1645 PyErr_SetString(PyExc_ValueError, |
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1646 "__setformat__() argument 1 must " |
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1647 "be 'double' or 'float'"); |
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1648 return NULL; |
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1649 } |
| 34972 | 1650 |
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1651 if (strcmp(format, "unknown") == 0) { |
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1652 f = unknown_format; |
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1653 } |
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1654 else if (strcmp(format, "IEEE, little-endian") == 0) { |
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1655 f = ieee_little_endian_format; |
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1656 } |
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1657 else if (strcmp(format, "IEEE, big-endian") == 0) { |
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1658 f = ieee_big_endian_format; |
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1659 } |
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1660 else { |
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1661 PyErr_SetString(PyExc_ValueError, |
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1662 "__setformat__() argument 2 must be " |
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1663 "'unknown', 'IEEE, little-endian' or " |
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1664 "'IEEE, big-endian'"); |
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1665 return NULL; |
| 34972 | 1666 |
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1667 } |
| 34972 | 1668 |
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1669 if (f != unknown_format && f != detected) { |
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1670 PyErr_Format(PyExc_ValueError, |
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1671 "can only set %s format to 'unknown' or the " |
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1672 "detected platform value", typestr); |
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1673 return NULL; |
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1674 } |
| 34972 | 1675 |
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1676 *p = f; |
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1677 Py_RETURN_NONE; |
| 34972 | 1678 } |
| 1679 | |
| 1680 PyDoc_STRVAR(float_setformat_doc, | |
| 1681 "float.__setformat__(typestr, fmt) -> None\n" | |
| 1682 "\n" | |
| 1683 "You probably don't want to use this function. It exists mainly to be\n" | |
| 1684 "used in Python's test suite.\n" | |
| 1685 "\n" | |
| 1686 "typestr must be 'double' or 'float'. fmt must be one of 'unknown',\n" | |
| 1687 "'IEEE, big-endian' or 'IEEE, little-endian', and in addition can only be\n" | |
| 1688 "one of the latter two if it appears to match the underlying C reality.\n" | |
| 1689 "\n" | |
| 1690 "Overrides the automatic determination of C-level floating point type.\n" | |
| 1691 "This affects how floats are converted to and from binary strings."); | |
| 1692 | |
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1693 static PyObject * |
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1694 float_getzero(PyObject *v, void *closure) |
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1695 { |
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1696 return PyFloat_FromDouble(0.0); |
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1697 } |
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1699 static PyObject * |
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1700 float__format__(PyObject *self, PyObject *args) |
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1701 { |
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1702 PyObject *format_spec; |
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1703 _PyUnicodeWriter writer; |
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1704 int ret; |
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1705 |
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1706 if (!PyArg_ParseTuple(args, "U:__format__", &format_spec)) |
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1707 return NULL; |
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1708 |
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1709 _PyUnicodeWriter_Init(&writer); |
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1710 ret = _PyFloat_FormatAdvancedWriter( |
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1711 &writer, |
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1712 self, |
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1713 format_spec, 0, PyUnicode_GET_LENGTH(format_spec)); |
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1714 if (ret == -1) { |
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1715 _PyUnicodeWriter_Dealloc(&writer); |
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1716 return NULL; |
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1717 } |
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1718 return _PyUnicodeWriter_Finish(&writer); |
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1719 } |
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1720 |
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1721 PyDoc_STRVAR(float__format__doc, |
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1722 "float.__format__(format_spec) -> string\n" |
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1723 "\n" |
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1724 "Formats the float according to format_spec."); |
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1725 |
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1726 |
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1727 static PyMethodDef float_methods[] = { |
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1728 {"conjugate", (PyCFunction)float_float, METH_NOARGS, |
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1729 "Returns self, the complex conjugate of any float."}, |
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1730 {"__trunc__", (PyCFunction)float_trunc, METH_NOARGS, |
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1731 "Returns the Integral closest to x between 0 and x."}, |
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1732 {"__round__", (PyCFunction)float_round, METH_VARARGS, |
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1733 "Returns the Integral closest to x, rounding half toward even.\n" |
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1734 "When an argument is passed, works like built-in round(x, ndigits)."}, |
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1735 {"as_integer_ratio", (PyCFunction)float_as_integer_ratio, METH_NOARGS, |
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1736 float_as_integer_ratio_doc}, |
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1737 {"fromhex", (PyCFunction)float_fromhex, |
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1738 METH_O|METH_CLASS, float_fromhex_doc}, |
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1739 {"hex", (PyCFunction)float_hex, |
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1740 METH_NOARGS, float_hex_doc}, |
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1741 {"is_integer", (PyCFunction)float_is_integer, METH_NOARGS, |
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1742 "Returns True if the float is an integer."}, |
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1743 #if 0 |
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1744 {"is_inf", (PyCFunction)float_is_inf, METH_NOARGS, |
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1745 "Returns True if the float is positive or negative infinite."}, |
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1746 {"is_finite", (PyCFunction)float_is_finite, METH_NOARGS, |
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1747 "Returns True if the float is finite, neither infinite nor NaN."}, |
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1748 {"is_nan", (PyCFunction)float_is_nan, METH_NOARGS, |
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1749 "Returns True if the float is not a number (NaN)."}, |
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1750 #endif |
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1751 {"__getnewargs__", (PyCFunction)float_getnewargs, METH_NOARGS}, |
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1752 {"__getformat__", (PyCFunction)float_getformat, |
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1753 METH_O|METH_CLASS, float_getformat_doc}, |
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1754 {"__setformat__", (PyCFunction)float_setformat, |
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1755 METH_VARARGS|METH_CLASS, float_setformat_doc}, |
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1756 {"__format__", (PyCFunction)float__format__, |
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1757 METH_VARARGS, float__format__doc}, |
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1758 {NULL, NULL} /* sentinel */ |
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1759 }; |
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1760 |
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1761 static PyGetSetDef float_getset[] = { |
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1762 {"real", |
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1763 (getter)float_float, (setter)NULL, |
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1764 "the real part of a complex number", |
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1765 NULL}, |
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1766 {"imag", |
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1767 (getter)float_getzero, (setter)NULL, |
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1768 "the imaginary part of a complex number", |
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1769 NULL}, |
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1770 {NULL} /* Sentinel */ |
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1771 }; |
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1772 |
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1773 PyDoc_STRVAR(float_doc, |
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1774 "float(x) -> floating point number\n\ |
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1775 \n\ |
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1776 Convert a string or number to a floating point number, if possible."); |
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1777 |
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1778 |
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1779 static PyNumberMethods float_as_number = { |
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1780 float_add, /*nb_add*/ |
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1781 float_sub, /*nb_subtract*/ |
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1782 float_mul, /*nb_multiply*/ |
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1783 float_rem, /*nb_remainder*/ |
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1784 float_divmod, /*nb_divmod*/ |
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1785 float_pow, /*nb_power*/ |
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1786 (unaryfunc)float_neg, /*nb_negative*/ |
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1787 (unaryfunc)float_float, /*nb_positive*/ |
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1788 (unaryfunc)float_abs, /*nb_absolute*/ |
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1789 (inquiry)float_bool, /*nb_bool*/ |
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1790 0, /*nb_invert*/ |
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1791 0, /*nb_lshift*/ |
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1792 0, /*nb_rshift*/ |
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1793 0, /*nb_and*/ |
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1794 0, /*nb_xor*/ |
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1795 0, /*nb_or*/ |
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1796 float_trunc, /*nb_int*/ |
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1797 0, /*nb_reserved*/ |
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1798 float_float, /*nb_float*/ |
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1799 0, /* nb_inplace_add */ |
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1804 0, /* nb_inplace_lshift */ |
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1805 0, /* nb_inplace_rshift */ |
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1806 0, /* nb_inplace_and */ |
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1807 0, /* nb_inplace_xor */ |
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1808 0, /* nb_inplace_or */ |
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1809 float_floor_div, /* nb_floor_divide */ |
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1810 float_div, /* nb_true_divide */ |
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1812 0, /* nb_inplace_true_divide */ |
| 6 | 1813 }; |
| 1814 | |
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1815 PyTypeObject PyFloat_Type = { |
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1816 PyVarObject_HEAD_INIT(&PyType_Type, 0) |
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1817 "float", |
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1818 sizeof(PyFloatObject), |
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1819 0, |
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1820 (destructor)float_dealloc, /* tp_dealloc */ |
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1821 0, /* tp_print */ |
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1822 0, /* tp_getattr */ |
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1823 0, /* tp_setattr */ |
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1824 0, /* tp_reserved */ |
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1825 (reprfunc)float_repr, /* tp_repr */ |
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1826 &float_as_number, /* tp_as_number */ |
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1827 0, /* tp_as_sequence */ |
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1828 0, /* tp_as_mapping */ |
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1829 (hashfunc)float_hash, /* tp_hash */ |
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1830 0, /* tp_call */ |
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1831 (reprfunc)float_repr, /* tp_str */ |
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1832 PyObject_GenericGetAttr, /* tp_getattro */ |
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1833 0, /* tp_setattro */ |
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1834 0, /* tp_as_buffer */ |
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1835 Py_TPFLAGS_DEFAULT | Py_TPFLAGS_BASETYPE, /* tp_flags */ |
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1836 float_doc, /* tp_doc */ |
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1837 0, /* tp_traverse */ |
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1838 0, /* tp_clear */ |
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1839 float_richcompare, /* tp_richcompare */ |
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1840 0, /* tp_weaklistoffset */ |
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1841 0, /* tp_iter */ |
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1842 0, /* tp_iternext */ |
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1843 float_methods, /* tp_methods */ |
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1844 0, /* tp_members */ |
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1845 float_getset, /* tp_getset */ |
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1846 0, /* tp_base */ |
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1847 0, /* tp_dict */ |
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1848 0, /* tp_descr_get */ |
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1849 0, /* tp_descr_set */ |
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1850 0, /* tp_dictoffset */ |
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1851 0, /* tp_init */ |
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1852 0, /* tp_alloc */ |
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1853 float_new, /* tp_new */ |
| 6 | 1854 }; |
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1855 |
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1856 void |
| 34972 | 1857 _PyFloat_Init(void) |
| 1858 { | |
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1859 /* We attempt to determine if this machine is using IEEE |
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1860 floating point formats by peering at the bits of some |
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1861 carefully chosen values. If it looks like we are on an |
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1862 IEEE platform, the float packing/unpacking routines can |
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1863 just copy bits, if not they resort to arithmetic & shifts |
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1864 and masks. The shifts & masks approach works on all finite |
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1865 values, but what happens to infinities, NaNs and signed |
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1866 zeroes on packing is an accident, and attempting to unpack |
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1867 a NaN or an infinity will raise an exception. |
| 34972 | 1868 |
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1869 Note that if we're on some whacked-out platform which uses |
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1870 IEEE formats but isn't strictly little-endian or big- |
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1871 endian, we will fall back to the portable shifts & masks |
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1872 method. */ |
| 34972 | 1873 |
| 1874 #if SIZEOF_DOUBLE == 8 | |
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1875 { |
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1876 double x = 9006104071832581.0; |
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1877 if (memcmp(&x, "\x43\x3f\xff\x01\x02\x03\x04\x05", 8) == 0) |
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1878 detected_double_format = ieee_big_endian_format; |
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1879 else if (memcmp(&x, "\x05\x04\x03\x02\x01\xff\x3f\x43", 8) == 0) |
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1880 detected_double_format = ieee_little_endian_format; |
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1881 else |
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1882 detected_double_format = unknown_format; |
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1883 } |
| 34972 | 1884 #else |
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1885 detected_double_format = unknown_format; |
| 34972 | 1886 #endif |
| 1887 | |
| 1888 #if SIZEOF_FLOAT == 4 | |
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1889 { |
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1890 float y = 16711938.0; |
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1891 if (memcmp(&y, "\x4b\x7f\x01\x02", 4) == 0) |
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1892 detected_float_format = ieee_big_endian_format; |
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1893 else if (memcmp(&y, "\x02\x01\x7f\x4b", 4) == 0) |
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1894 detected_float_format = ieee_little_endian_format; |
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1895 else |
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1896 detected_float_format = unknown_format; |
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1897 } |
| 34972 | 1898 #else |
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1899 detected_float_format = unknown_format; |
| 34972 | 1900 #endif |
| 1901 | |
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1902 double_format = detected_double_format; |
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1903 float_format = detected_float_format; |
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1905 /* Init float info */ |
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1906 if (FloatInfoType.tp_name == 0) |
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1907 PyStructSequence_InitType(&FloatInfoType, &floatinfo_desc); |
| 34972 | 1908 } |
| 1909 | |
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1910 int |
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1911 PyFloat_ClearFreeList(void) |
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1912 { |
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1913 PyFloatObject *f = free_list, *next; |
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1914 int i = numfree; |
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1915 while (f) { |
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1916 next = (PyFloatObject*) Py_TYPE(f); |
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1917 PyObject_FREE(f); |
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1918 f = next; |
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1919 } |
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1920 free_list = NULL; |
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1921 numfree = 0; |
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1922 return i; |
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1923 } |
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1924 |
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1925 void |
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1926 PyFloat_Fini(void) |
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1927 { |
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1928 (void)PyFloat_ClearFreeList(); |
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1929 } |
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1930 |
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1931 /* Print summary info about the state of the optimized allocator */ |
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1932 void |
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1933 _PyFloat_DebugMallocStats(FILE *out) |
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1934 { |
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1935 _PyDebugAllocatorStats(out, |
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1936 "free PyFloatObject", |
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1937 numfree, sizeof(PyFloatObject)); |
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1938 } |
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1939 |
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1940 |
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1941 /*---------------------------------------------------------------------------- |
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1942 * _PyFloat_{Pack,Unpack}{4,8}. See floatobject.h. |
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1943 */ |
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1944 int |
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1945 _PyFloat_Pack4(double x, unsigned char *p, int le) |
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1946 { |
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1947 if (float_format == unknown_format) { |
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1948 unsigned char sign; |
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1949 int e; |
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1950 double f; |
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1951 unsigned int fbits; |
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1952 int incr = 1; |
| 34972 | 1953 |
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1954 if (le) { |
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1955 p += 3; |
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1956 incr = -1; |
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1957 } |
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1958 |
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1959 if (x < 0) { |
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1960 sign = 1; |
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1961 x = -x; |
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1962 } |
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1963 else |
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1964 sign = 0; |
| 34972 | 1965 |
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1966 f = frexp(x, &e); |
| 34972 | 1967 |
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1968 /* Normalize f to be in the range [1.0, 2.0) */ |
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1969 if (0.5 <= f && f < 1.0) { |
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1970 f *= 2.0; |
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1971 e--; |
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1972 } |
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1973 else if (f == 0.0) |
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1974 e = 0; |
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1975 else { |
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1976 PyErr_SetString(PyExc_SystemError, |
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1977 "frexp() result out of range"); |
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1978 return -1; |
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1979 } |
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1980 |
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1981 if (e >= 128) |
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1982 goto Overflow; |
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1983 else if (e < -126) { |
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1984 /* Gradual underflow */ |
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1985 f = ldexp(f, 126 + e); |
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1986 e = 0; |
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1987 } |
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1988 else if (!(e == 0 && f == 0.0)) { |
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1989 e += 127; |
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1990 f -= 1.0; /* Get rid of leading 1 */ |
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1991 } |
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1992 |
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1993 f *= 8388608.0; /* 2**23 */ |
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1994 fbits = (unsigned int)(f + 0.5); /* Round */ |
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1995 assert(fbits <= 8388608); |
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1996 if (fbits >> 23) { |
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1997 /* The carry propagated out of a string of 23 1 bits. */ |
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1998 fbits = 0; |
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1999 ++e; |
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2000 if (e >= 255) |
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2001 goto Overflow; |
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2002 } |
| 34972 | 2003 |
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2004 /* First byte */ |
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2005 *p = (sign << 7) | (e >> 1); |
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2006 p += incr; |
| 34972 | 2007 |
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2008 /* Second byte */ |
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2009 *p = (char) (((e & 1) << 7) | (fbits >> 16)); |
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2010 p += incr; |
| 34972 | 2011 |
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2012 /* Third byte */ |
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2013 *p = (fbits >> 8) & 0xFF; |
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2014 p += incr; |
| 34972 | 2015 |
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2016 /* Fourth byte */ |
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2017 *p = fbits & 0xFF; |
| 34972 | 2018 |
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2019 /* Done */ |
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2020 return 0; |
| 34972 | 2021 |
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2022 } |
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2023 else { |
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2024 float y = (float)x; |
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2025 const char *s = (char*)&y; |
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2026 int i, incr = 1; |
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2027 |
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2028 if (Py_IS_INFINITY(y) && !Py_IS_INFINITY(x)) |
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2029 goto Overflow; |
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parents:
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diff
changeset
|
2030 |
|
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|
2031 if ((float_format == ieee_little_endian_format && !le) |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2032 || (float_format == ieee_big_endian_format && le)) { |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2033 p += 3; |
|
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|
2034 incr = -1; |
|
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|
2035 } |
|
45773
832c820e9d14
Merged revisions 61239-61249,61252-61257,61260-61264,61269-61275,61278-61279,61285-61286,61288-61290,61298,61303-61305,61312-61314,61317,61329,61332,61344,61350-61351,61363-61376,61378-61379,61382-61383,61387-61388,61392,61395-61396,61402-61403 via svnmerge from
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|
2036 |
|
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|
2037 for (i = 0; i < 4; i++) { |
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|
2038 *p = *s++; |
|
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|
2039 p += incr; |
|
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|
2040 } |
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|
2041 return 0; |
|
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|
2042 } |
|
45773
832c820e9d14
Merged revisions 61239-61249,61252-61257,61260-61264,61269-61275,61278-61279,61285-61286,61288-61290,61298,61303-61305,61312-61314,61317,61329,61332,61344,61350-61351,61363-61376,61378-61379,61382-61383,61387-61388,61392,61395-61396,61402-61403 via svnmerge from
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|
2043 Overflow: |
|
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|
2044 PyErr_SetString(PyExc_OverflowError, |
|
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|
2045 "float too large to pack with f format"); |
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|
2046 return -1; |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2047 } |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2048 |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
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diff
changeset
|
2049 int |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2050 _PyFloat_Pack8(double x, unsigned char *p, int le) |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
2051 { |
|
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2052 if (double_format == unknown_format) { |
|
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|
2053 unsigned char sign; |
|
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|
2054 int e; |
|
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|
2055 double f; |
|
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|
2056 unsigned int fhi, flo; |
|
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|
2057 int incr = 1; |
| 34972 | 2058 |
|
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|
2059 if (le) { |
|
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|
2060 p += 7; |
|
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|
2061 incr = -1; |
|
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|
2062 } |
| 34972 | 2063 |
|
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|
2064 if (x < 0) { |
|
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|
2065 sign = 1; |
|
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|
2066 x = -x; |
|
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|
2067 } |
|
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|
2068 else |
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|
2069 sign = 0; |
| 34972 | 2070 |
|
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|
2071 f = frexp(x, &e); |
|
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New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
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parents:
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|
2072 |
|
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|
2073 /* Normalize f to be in the range [1.0, 2.0) */ |
|
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2074 if (0.5 <= f && f < 1.0) { |
|
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|
2075 f *= 2.0; |
|
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|
2076 e--; |
|
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|
2077 } |
|
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|
2078 else if (f == 0.0) |
|
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2079 e = 0; |
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2080 else { |
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|
2081 PyErr_SetString(PyExc_SystemError, |
|
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|
2082 "frexp() result out of range"); |
|
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2083 return -1; |
|
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|
2084 } |
| 34972 | 2085 |
|
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|
2086 if (e >= 1024) |
|
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|
2087 goto Overflow; |
|
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|
2088 else if (e < -1022) { |
|
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|
2089 /* Gradual underflow */ |
|
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|
2090 f = ldexp(f, 1022 + e); |
|
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|
2091 e = 0; |
|
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|
2092 } |
|
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|
2093 else if (!(e == 0 && f == 0.0)) { |
|
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|
2094 e += 1023; |
|
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|
2095 f -= 1.0; /* Get rid of leading 1 */ |
|
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|
2096 } |
| 34972 | 2097 |
|
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2098 /* fhi receives the high 28 bits; flo the low 24 bits (== 52 bits) */ |
|
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2099 f *= 268435456.0; /* 2**28 */ |
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|
2100 fhi = (unsigned int)f; /* Truncate */ |
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|
2101 assert(fhi < 268435456); |
|
28335
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parents:
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|
2102 |
|
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|
2103 f -= (double)fhi; |
|
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2104 f *= 16777216.0; /* 2**24 */ |
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|
2105 flo = (unsigned int)(f + 0.5); /* Round */ |
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|
2106 assert(flo <= 16777216); |
|
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|
2107 if (flo >> 24) { |
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|
2108 /* The carry propagated out of a string of 24 1 bits. */ |
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|
2109 flo = 0; |
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|
2110 ++fhi; |
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|
2111 if (fhi >> 28) { |
|
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|
2112 /* And it also progagated out of the next 28 bits. */ |
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|
2113 fhi = 0; |
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|
2114 ++e; |
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|
2115 if (e >= 2047) |
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|
2116 goto Overflow; |
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2117 } |
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|
2118 } |
|
28335
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New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
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|
2119 |
|
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|
2120 /* First byte */ |
|
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|
2121 *p = (sign << 7) | (e >> 4); |
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|
2122 p += incr; |
| 34972 | 2123 |
|
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|
2124 /* Second byte */ |
|
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|
2125 *p = (unsigned char) (((e & 0xF) << 4) | (fhi >> 24)); |
|
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|
2126 p += incr; |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
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|
2127 |
|
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|
2128 /* Third byte */ |
|
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|
2129 *p = (fhi >> 16) & 0xFF; |
|
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|
2130 p += incr; |
| 34972 | 2131 |
|
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|
2132 /* Fourth byte */ |
|
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|
2133 *p = (fhi >> 8) & 0xFF; |
|
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|
2134 p += incr; |
| 34972 | 2135 |
|
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|
2136 /* Fifth byte */ |
|
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|
2137 *p = fhi & 0xFF; |
|
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|
2138 p += incr; |
| 34972 | 2139 |
|
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|
2140 /* Sixth byte */ |
|
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|
2141 *p = (flo >> 16) & 0xFF; |
|
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|
2142 p += incr; |
| 34972 | 2143 |
|
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|
2144 /* Seventh byte */ |
|
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|
2145 *p = (flo >> 8) & 0xFF; |
|
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|
2146 p += incr; |
| 34972 | 2147 |
|
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|
2148 /* Eighth byte */ |
|
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|
2149 *p = flo & 0xFF; |
|
68102
e2f96bd29252
Issue #8914: fix various warnings from the Clang static analyzer v254.
Brett Cannon <bcannon@gmail.com>
parents:
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diff
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|
2150 /* p += incr; */ |
| 34972 | 2151 |
|
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|
2152 /* Done */ |
|
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|
2153 return 0; |
| 34972 | 2154 |
|
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|
2155 Overflow: |
|
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|
2156 PyErr_SetString(PyExc_OverflowError, |
|
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|
2157 "float too large to pack with d format"); |
|
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|
2158 return -1; |
|
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|
2159 } |
|
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|
2160 else { |
|
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|
2161 const char *s = (char*)&x; |
|
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|
2162 int i, incr = 1; |
|
28335
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New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
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parents:
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|
2163 |
|
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|
2164 if ((double_format == ieee_little_endian_format && !le) |
|
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|
2165 || (double_format == ieee_big_endian_format && le)) { |
|
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|
2166 p += 7; |
|
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|
2167 incr = -1; |
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|
2168 } |
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|
2169 |
|
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|
2170 for (i = 0; i < 8; i++) { |
|
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|
2171 *p = *s++; |
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|
2172 p += incr; |
|
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|
2173 } |
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|
2174 return 0; |
|
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|
2175 } |
|
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|
2176 } |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
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|
2177 |
|
70003b0cb837
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|
2178 double |
|
70003b0cb837
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|
2179 _PyFloat_Unpack4(const unsigned char *p, int le) |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
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|
2180 { |
|
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2181 if (float_format == unknown_format) { |
|
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|
2182 unsigned char sign; |
|
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|
2183 int e; |
|
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|
2184 unsigned int f; |
|
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|
2185 double x; |
|
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|
2186 int incr = 1; |
| 34972 | 2187 |
|
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|
2188 if (le) { |
|
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|
2189 p += 3; |
|
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|
2190 incr = -1; |
|
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|
2191 } |
| 34972 | 2192 |
|
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|
2193 /* First byte */ |
|
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|
2194 sign = (*p >> 7) & 1; |
|
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|
2195 e = (*p & 0x7F) << 1; |
|
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|
2196 p += incr; |
|
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|
2197 |
|
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|
2198 /* Second byte */ |
|
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2199 e |= (*p >> 7) & 1; |
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2200 f = (*p & 0x7F) << 16; |
|
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|
2201 p += incr; |
|
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|
2202 |
|
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|
2203 if (e == 255) { |
|
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|
2204 PyErr_SetString( |
|
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|
2205 PyExc_ValueError, |
|
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|
2206 "can't unpack IEEE 754 special value " |
|
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|
2207 "on non-IEEE platform"); |
|
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|
2208 return -1; |
|
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|
2209 } |
|
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|
2210 |
|
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|
2211 /* Third byte */ |
|
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|
2212 f |= *p << 8; |
|
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|
2213 p += incr; |
|
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|
2214 |
|
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|
2215 /* Fourth byte */ |
|
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|
2216 f |= *p; |
| 34972 | 2217 |
|
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|
2218 x = (double)f / 8388608.0; |
|
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|
2219 |
|
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|
2220 /* XXX This sadly ignores Inf/NaN issues */ |
|
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|
2221 if (e == 0) |
|
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|
2222 e = -126; |
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2223 else { |
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|
2224 x += 1.0; |
|
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|
2225 e -= 127; |
|
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|
2226 } |
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|
2227 x = ldexp(x, e); |
|
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|
2228 |
|
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|
2229 if (sign) |
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|
2230 x = -x; |
|
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|
2231 |
|
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|
2232 return x; |
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2233 } |
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2234 else { |
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|
2235 float x; |
| 35987 | 2236 |
|
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|
2237 if ((float_format == ieee_little_endian_format && !le) |
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|
2238 || (float_format == ieee_big_endian_format && le)) { |
|
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|
2239 char buf[4]; |
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|
2240 char *d = &buf[3]; |
|
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|
2241 int i; |
|
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|
2242 |
|
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|
2243 for (i = 0; i < 4; i++) { |
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2244 *d-- = *p++; |
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2245 } |
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|
2246 memcpy(&x, buf, 4); |
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2247 } |
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2248 else { |
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|
2249 memcpy(&x, p, 4); |
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|
2250 } |
| 35987 | 2251 |
|
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|
2252 return x; |
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2253 } |
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2254 } |
|
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|
2255 |
|
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|
2256 double |
|
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|
2257 _PyFloat_Unpack8(const unsigned char *p, int le) |
|
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|
2258 { |
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2259 if (double_format == unknown_format) { |
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|
2260 unsigned char sign; |
|
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2261 int e; |
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2262 unsigned int fhi, flo; |
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2263 double x; |
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2264 int incr = 1; |
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2265 |
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2266 if (le) { |
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2267 p += 7; |
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2268 incr = -1; |
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2269 } |
| 34972 | 2270 |
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2271 /* First byte */ |
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2272 sign = (*p >> 7) & 1; |
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2273 e = (*p & 0x7F) << 4; |
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2274 |
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2275 p += incr; |
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2276 |
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2277 /* Second byte */ |
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2278 e |= (*p >> 4) & 0xF; |
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2279 fhi = (*p & 0xF) << 24; |
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2280 p += incr; |
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2281 |
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2282 if (e == 2047) { |
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2283 PyErr_SetString( |
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2284 PyExc_ValueError, |
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2285 "can't unpack IEEE 754 special value " |
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2286 "on non-IEEE platform"); |
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2287 return -1.0; |
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2288 } |
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2289 |
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2290 /* Third byte */ |
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2291 fhi |= *p << 16; |
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2292 p += incr; |
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2293 |
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2294 /* Fourth byte */ |
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2295 fhi |= *p << 8; |
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2296 p += incr; |
| 34972 | 2297 |
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2298 /* Fifth byte */ |
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2299 fhi |= *p; |
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2300 p += incr; |
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2301 |
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2302 /* Sixth byte */ |
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2303 flo = *p << 16; |
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2304 p += incr; |
| 34972 | 2305 |
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2306 /* Seventh byte */ |
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2307 flo |= *p << 8; |
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2308 p += incr; |
| 34972 | 2309 |
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2310 /* Eighth byte */ |
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2311 flo |= *p; |
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2312 |
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2313 x = (double)fhi + (double)flo / 16777216.0; /* 2**24 */ |
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2314 x /= 268435456.0; /* 2**28 */ |
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2315 |
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2316 if (e == 0) |
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2317 e = -1022; |
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2318 else { |
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2319 x += 1.0; |
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2320 e -= 1023; |
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2321 } |
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2322 x = ldexp(x, e); |
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2323 |
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2324 if (sign) |
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2325 x = -x; |
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2326 |
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2327 return x; |
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2328 } |
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2329 else { |
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2330 double x; |
| 35987 | 2331 |
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2332 if ((double_format == ieee_little_endian_format && !le) |
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2333 || (double_format == ieee_big_endian_format && le)) { |
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2334 char buf[8]; |
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2335 char *d = &buf[7]; |
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2336 int i; |
| 35987 | 2337 |
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2338 for (i = 0; i < 8; i++) { |
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2339 *d-- = *p++; |
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2340 } |
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2341 memcpy(&x, buf, 8); |
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2342 } |
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2343 else { |
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2344 memcpy(&x, p, 8); |
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2345 } |
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2346 |
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2347 return x; |
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2348 } |
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2349 } |
