Mercurial > cpython-lru_cache-weakref
annotate Objects/floatobject.c @ 80661:94de77bd0b4b 2.7
Issue #16194: document imp.load_dynamic problems
when read several extension modules from the same binary object file.
| author | Andrew Svetlov <andrew.svetlov@gmail.com> |
|---|---|
| date | Thu, 29 Nov 2012 19:51:28 +0200 |
| parents | ff300ccd119d |
| children | ca8e75190402 |
| 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" |
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8 #include "structseq.h" |
| 6 | 9 |
| 86 | 10 #include <ctype.h> |
| 44085 | 11 #include <float.h> |
| 6 | 12 |
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13 #undef MAX |
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14 #undef MIN |
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15 #define MAX(x, y) ((x) < (y) ? (y) : (x)) |
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16 #define MIN(x, y) ((x) < (y) ? (x) : (y)) |
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17 |
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18 #ifdef _OSF_SOURCE |
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19 /* OSF1 5.1 doesn't make this available with XOPEN_SOURCE_EXTENDED defined */ |
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20 extern int finite(double); |
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21 #endif |
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22 |
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23 /* Special free list -- see comments for same code in intobject.c. */ |
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24 #define BLOCK_SIZE 1000 /* 1K less typical malloc overhead */ |
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25 #define BHEAD_SIZE 8 /* Enough for a 64-bit pointer */ |
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26 #define N_FLOATOBJECTS ((BLOCK_SIZE - BHEAD_SIZE) / sizeof(PyFloatObject)) |
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27 |
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28 struct _floatblock { |
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29 struct _floatblock *next; |
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30 PyFloatObject objects[N_FLOATOBJECTS]; |
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31 }; |
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32 |
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33 typedef struct _floatblock PyFloatBlock; |
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34 |
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35 static PyFloatBlock *block_list = NULL; |
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36 static PyFloatObject *free_list = NULL; |
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37 |
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38 static PyFloatObject * |
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39 fill_free_list(void) |
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40 { |
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41 PyFloatObject *p, *q; |
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42 /* XXX Float blocks escape the object heap. Use PyObject_MALLOC ??? */ |
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43 p = (PyFloatObject *) PyMem_MALLOC(sizeof(PyFloatBlock)); |
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44 if (p == NULL) |
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45 return (PyFloatObject *) PyErr_NoMemory(); |
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46 ((PyFloatBlock *)p)->next = block_list; |
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47 block_list = (PyFloatBlock *)p; |
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48 p = &((PyFloatBlock *)p)->objects[0]; |
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49 q = p + N_FLOATOBJECTS; |
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50 while (--q > p) |
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51 Py_TYPE(q) = (struct _typeobject *)(q-1); |
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52 Py_TYPE(q) = NULL; |
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53 return p + N_FLOATOBJECTS - 1; |
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54 } |
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55 |
| 44085 | 56 double |
| 57 PyFloat_GetMax(void) | |
| 58 { | |
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59 return DBL_MAX; |
| 44085 | 60 } |
| 61 | |
| 62 double | |
| 63 PyFloat_GetMin(void) | |
| 64 { | |
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65 return DBL_MIN; |
| 44085 | 66 } |
| 67 | |
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68 static PyTypeObject FloatInfoType = {0, 0, 0, 0, 0, 0}; |
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69 |
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70 PyDoc_STRVAR(floatinfo__doc__, |
| 54777 | 71 "sys.float_info\n\ |
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72 \n\ |
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73 A structseq holding information about the float type. It contains low level\n\ |
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74 information about the precision and internal representation. Please study\n\ |
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75 your system's :file:`float.h` for more information."); |
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76 |
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77 static PyStructSequence_Field floatinfo_fields[] = { |
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78 {"max", "DBL_MAX -- maximum representable finite float"}, |
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79 {"max_exp", "DBL_MAX_EXP -- maximum int e such that radix**(e-1) " |
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80 "is representable"}, |
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81 {"max_10_exp", "DBL_MAX_10_EXP -- maximum int e such that 10**e " |
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82 "is representable"}, |
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83 {"min", "DBL_MIN -- Minimum positive normalizer float"}, |
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84 {"min_exp", "DBL_MIN_EXP -- minimum int e such that radix**(e-1) " |
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85 "is a normalized float"}, |
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86 {"min_10_exp", "DBL_MIN_10_EXP -- minimum int e such that 10**e is " |
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87 "a normalized"}, |
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88 {"dig", "DBL_DIG -- digits"}, |
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89 {"mant_dig", "DBL_MANT_DIG -- mantissa digits"}, |
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90 {"epsilon", "DBL_EPSILON -- Difference between 1 and the next " |
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91 "representable float"}, |
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92 {"radix", "FLT_RADIX -- radix of exponent"}, |
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93 {"rounds", "FLT_ROUNDS -- addition rounds"}, |
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94 {0} |
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95 }; |
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96 |
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97 static PyStructSequence_Desc floatinfo_desc = { |
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98 "sys.float_info", /* name */ |
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99 floatinfo__doc__, /* doc */ |
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100 floatinfo_fields, /* fields */ |
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101 11 |
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102 }; |
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103 |
| 44085 | 104 PyObject * |
| 105 PyFloat_GetInfo(void) | |
| 106 { | |
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107 PyObject* floatinfo; |
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108 int pos = 0; |
| 44085 | 109 |
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110 floatinfo = PyStructSequence_New(&FloatInfoType); |
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111 if (floatinfo == NULL) { |
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112 return NULL; |
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113 } |
| 44085 | 114 |
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115 #define SetIntFlag(flag) \ |
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116 PyStructSequence_SET_ITEM(floatinfo, pos++, PyInt_FromLong(flag)) |
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117 #define SetDblFlag(flag) \ |
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118 PyStructSequence_SET_ITEM(floatinfo, pos++, PyFloat_FromDouble(flag)) |
| 44085 | 119 |
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120 SetDblFlag(DBL_MAX); |
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121 SetIntFlag(DBL_MAX_EXP); |
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122 SetIntFlag(DBL_MAX_10_EXP); |
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123 SetDblFlag(DBL_MIN); |
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124 SetIntFlag(DBL_MIN_EXP); |
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125 SetIntFlag(DBL_MIN_10_EXP); |
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126 SetIntFlag(DBL_DIG); |
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127 SetIntFlag(DBL_MANT_DIG); |
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128 SetDblFlag(DBL_EPSILON); |
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129 SetIntFlag(FLT_RADIX); |
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130 SetIntFlag(FLT_ROUNDS); |
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131 #undef SetIntFlag |
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132 #undef SetDblFlag |
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133 |
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134 if (PyErr_Occurred()) { |
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135 Py_CLEAR(floatinfo); |
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136 return NULL; |
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137 } |
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138 return floatinfo; |
| 44085 | 139 } |
| 140 | |
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141 PyObject * |
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142 PyFloat_FromDouble(double fval) |
| 6 | 143 { |
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144 register PyFloatObject *op; |
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145 if (free_list == NULL) { |
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146 if ((free_list = fill_free_list()) == NULL) |
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147 return NULL; |
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148 } |
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149 /* Inline PyObject_New */ |
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150 op = free_list; |
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151 free_list = (PyFloatObject *)Py_TYPE(op); |
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152 PyObject_INIT(op, &PyFloat_Type); |
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153 op->ob_fval = fval; |
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154 return (PyObject *) op; |
| 6 | 155 } |
| 156 | |
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157 /************************************************************************** |
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158 RED_FLAG 22-Sep-2000 tim |
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159 PyFloat_FromString's pend argument is braindead. Prior to this RED_FLAG, |
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160 |
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161 1. If v was a regular string, *pend was set to point to its terminating |
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162 null byte. That's useless (the caller can find that without any |
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163 help from this function!). |
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164 |
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165 2. If v was a Unicode string, or an object convertible to a character |
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166 buffer, *pend was set to point into stack trash (the auto temp |
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167 vector holding the character buffer). That was downright dangerous. |
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168 |
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169 Since we can't change the interface of a public API function, pend is |
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170 still supported but now *officially* useless: if pend is not NULL, |
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171 *pend is set to NULL. |
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172 **************************************************************************/ |
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173 PyObject * |
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174 PyFloat_FromString(PyObject *v, char **pend) |
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175 { |
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176 const char *s, *last, *end; |
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177 double x; |
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178 char buffer[256]; /* for errors */ |
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179 #ifdef Py_USING_UNICODE |
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180 char *s_buffer = NULL; |
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181 #endif |
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182 Py_ssize_t len; |
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183 PyObject *result = NULL; |
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184 |
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185 if (pend) |
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186 *pend = NULL; |
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187 if (PyString_Check(v)) { |
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188 s = PyString_AS_STRING(v); |
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189 len = PyString_GET_SIZE(v); |
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190 } |
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191 #ifdef Py_USING_UNICODE |
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192 else if (PyUnicode_Check(v)) { |
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193 s_buffer = (char *)PyMem_MALLOC(PyUnicode_GET_SIZE(v)+1); |
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194 if (s_buffer == NULL) |
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195 return PyErr_NoMemory(); |
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196 if (PyUnicode_EncodeDecimal(PyUnicode_AS_UNICODE(v), |
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197 PyUnicode_GET_SIZE(v), |
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198 s_buffer, |
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199 NULL)) |
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200 goto error; |
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201 s = s_buffer; |
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202 len = strlen(s); |
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203 } |
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204 #endif |
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205 else if (PyObject_AsCharBuffer(v, &s, &len)) { |
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206 PyErr_SetString(PyExc_TypeError, |
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207 "float() argument must be a string or a number"); |
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208 return NULL; |
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209 } |
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210 last = s + len; |
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211 |
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212 while (Py_ISSPACE(*s)) |
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213 s++; |
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214 /* We don't care about overflow or underflow. If the platform |
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215 * supports them, infinities and signed zeroes (on underflow) are |
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216 * fine. */ |
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217 x = PyOS_string_to_double(s, (char **)&end, NULL); |
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218 if (x == -1.0 && PyErr_Occurred()) |
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219 goto error; |
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220 while (Py_ISSPACE(*end)) |
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221 end++; |
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222 if (end == last) |
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223 result = PyFloat_FromDouble(x); |
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224 else { |
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225 PyOS_snprintf(buffer, sizeof(buffer), |
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226 "invalid literal for float(): %.200s", s); |
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227 PyErr_SetString(PyExc_ValueError, buffer); |
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228 result = NULL; |
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229 } |
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230 |
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231 error: |
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232 #ifdef Py_USING_UNICODE |
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233 if (s_buffer) |
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234 PyMem_FREE(s_buffer); |
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235 #endif |
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236 return result; |
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237 } |
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238 |
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239 static void |
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240 float_dealloc(PyFloatObject *op) |
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241 { |
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242 if (PyFloat_CheckExact(op)) { |
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243 Py_TYPE(op) = (struct _typeobject *)free_list; |
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244 free_list = op; |
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245 } |
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246 else |
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247 Py_TYPE(op)->tp_free((PyObject *)op); |
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248 } |
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251 PyFloat_AsDouble(PyObject *op) |
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253 PyNumberMethods *nb; |
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254 PyFloatObject *fo; |
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255 double val; |
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256 |
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257 if (op && PyFloat_Check(op)) |
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258 return PyFloat_AS_DOUBLE((PyFloatObject*) op); |
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259 |
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260 if (op == NULL) { |
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261 PyErr_BadArgument(); |
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262 return -1; |
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263 } |
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264 |
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265 if ((nb = Py_TYPE(op)->tp_as_number) == NULL || nb->nb_float == NULL) { |
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266 PyErr_SetString(PyExc_TypeError, "a float is required"); |
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267 return -1; |
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268 } |
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270 fo = (PyFloatObject*) (*nb->nb_float) (op); |
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271 if (fo == NULL) |
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272 return -1; |
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273 if (!PyFloat_Check(fo)) { |
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274 PyErr_SetString(PyExc_TypeError, |
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275 "nb_float should return float object"); |
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276 return -1; |
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277 } |
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278 |
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279 val = PyFloat_AS_DOUBLE(fo); |
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280 Py_DECREF(fo); |
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281 |
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282 return val; |
| 6 | 283 } |
| 284 | |
| 285 /* Methods */ | |
| 286 | |
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287 /* Macro and helper that convert PyObject obj to a C double and store |
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288 the value in dbl; this replaces the functionality of the coercion |
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289 slot function. If conversion to double raises an exception, obj is |
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290 set to NULL, and the function invoking this macro returns NULL. If |
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291 obj is not of float, int or long type, Py_NotImplemented is incref'ed, |
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292 stored in obj, and returned from the function invoking this macro. |
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293 */ |
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294 #define CONVERT_TO_DOUBLE(obj, dbl) \ |
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295 if (PyFloat_Check(obj)) \ |
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296 dbl = PyFloat_AS_DOUBLE(obj); \ |
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297 else if (convert_to_double(&(obj), &(dbl)) < 0) \ |
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298 return obj; |
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299 |
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300 static int |
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301 convert_to_double(PyObject **v, double *dbl) |
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302 { |
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303 register PyObject *obj = *v; |
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304 |
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305 if (PyInt_Check(obj)) { |
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306 *dbl = (double)PyInt_AS_LONG(obj); |
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307 } |
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308 else if (PyLong_Check(obj)) { |
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309 *dbl = PyLong_AsDouble(obj); |
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310 if (*dbl == -1.0 && PyErr_Occurred()) { |
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311 *v = NULL; |
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312 return -1; |
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313 } |
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314 } |
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315 else { |
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316 Py_INCREF(Py_NotImplemented); |
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317 *v = Py_NotImplemented; |
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318 return -1; |
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319 } |
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320 return 0; |
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321 } |
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322 |
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323 /* XXX PyFloat_AsString and PyFloat_AsReprString are deprecated: |
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325 */ |
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326 void |
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327 PyFloat_AsString(char *buf, PyFloatObject *v) |
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328 { |
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329 char *tmp = PyOS_double_to_string(v->ob_fval, 'g', |
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330 PyFloat_STR_PRECISION, |
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331 Py_DTSF_ADD_DOT_0, NULL); |
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332 strcpy(buf, tmp); |
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333 PyMem_Free(tmp); |
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334 } |
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335 |
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336 void |
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337 PyFloat_AsReprString(char *buf, PyFloatObject *v) |
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338 { |
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339 char * tmp = PyOS_double_to_string(v->ob_fval, 'r', 0, |
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340 Py_DTSF_ADD_DOT_0, NULL); |
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341 strcpy(buf, tmp); |
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342 PyMem_Free(tmp); |
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343 } |
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344 |
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345 /* ARGSUSED */ |
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346 static int |
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347 float_print(PyFloatObject *v, FILE *fp, int flags) |
| 6 | 348 { |
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349 char *buf; |
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350 if (flags & Py_PRINT_RAW) |
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351 buf = PyOS_double_to_string(v->ob_fval, |
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352 'g', PyFloat_STR_PRECISION, |
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353 Py_DTSF_ADD_DOT_0, NULL); |
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354 else |
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355 buf = PyOS_double_to_string(v->ob_fval, |
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356 'r', 0, Py_DTSF_ADD_DOT_0, NULL); |
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357 Py_BEGIN_ALLOW_THREADS |
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358 fputs(buf, fp); |
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359 Py_END_ALLOW_THREADS |
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360 PyMem_Free(buf); |
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361 return 0; |
| 6 | 362 } |
| 363 | |
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364 static PyObject * |
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365 float_str_or_repr(PyFloatObject *v, int precision, char format_code) |
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366 { |
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367 PyObject *result; |
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368 char *buf = PyOS_double_to_string(PyFloat_AS_DOUBLE(v), |
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369 format_code, precision, |
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370 Py_DTSF_ADD_DOT_0, |
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371 NULL); |
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372 if (!buf) |
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373 return PyErr_NoMemory(); |
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374 result = PyString_FromString(buf); |
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375 PyMem_Free(buf); |
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376 return result; |
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377 } |
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378 |
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379 static PyObject * |
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380 float_repr(PyFloatObject *v) |
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382 return float_str_or_repr(v, 0, 'r'); |
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383 } |
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384 |
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385 static PyObject * |
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386 float_str(PyFloatObject *v) |
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387 { |
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388 return float_str_or_repr(v, PyFloat_STR_PRECISION, 'g'); |
| 6 | 389 } |
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391 /* Comparison is pretty much a nightmare. When comparing float to float, |
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392 * we do it as straightforwardly (and long-windedly) as conceivable, so |
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393 * that, e.g., Python x == y delivers the same result as the platform |
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394 * C x == y when x and/or y is a NaN. |
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395 * When mixing float with an integer type, there's no good *uniform* approach. |
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396 * Converting the double to an integer obviously doesn't work, since we |
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397 * may lose info from fractional bits. Converting the integer to a double |
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398 * also has two failure modes: (1) a long int may trigger overflow (too |
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399 * large to fit in the dynamic range of a C double); (2) even a C long may have |
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400 * more bits than fit in a C double (e.g., on a a 64-bit box long may have |
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401 * 63 bits of precision, but a C double probably has only 53), and then |
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402 * we can falsely claim equality when low-order integer bits are lost by |
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403 * coercion to double. So this part is painful too. |
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404 */ |
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405 |
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406 static PyObject* |
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407 float_richcompare(PyObject *v, PyObject *w, int op) |
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408 { |
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409 double i, j; |
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410 int r = 0; |
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411 |
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412 assert(PyFloat_Check(v)); |
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413 i = PyFloat_AS_DOUBLE(v); |
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414 |
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415 /* Switch on the type of w. Set i and j to doubles to be compared, |
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416 * and op to the richcomp to use. |
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417 */ |
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418 if (PyFloat_Check(w)) |
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419 j = PyFloat_AS_DOUBLE(w); |
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420 |
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421 else if (!Py_IS_FINITE(i)) { |
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422 if (PyInt_Check(w) || PyLong_Check(w)) |
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423 /* If i is an infinity, its magnitude exceeds any |
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424 * finite integer, so it doesn't matter which int we |
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425 * compare i with. If i is a NaN, similarly. |
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426 */ |
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427 j = 0.0; |
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428 else |
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429 goto Unimplemented; |
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430 } |
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431 |
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432 else if (PyInt_Check(w)) { |
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433 long jj = PyInt_AS_LONG(w); |
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434 /* In the worst realistic case I can imagine, C double is a |
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435 * Cray single with 48 bits of precision, and long has 64 |
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436 * bits. |
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437 */ |
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438 #if SIZEOF_LONG > 6 |
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439 unsigned long abs = (unsigned long)(jj < 0 ? -jj : jj); |
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440 if (abs >> 48) { |
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441 /* Needs more than 48 bits. Make it take the |
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442 * PyLong path. |
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443 */ |
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444 PyObject *result; |
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445 PyObject *ww = PyLong_FromLong(jj); |
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446 |
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447 if (ww == NULL) |
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448 return NULL; |
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449 result = float_richcompare(v, ww, op); |
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450 Py_DECREF(ww); |
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451 return result; |
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452 } |
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453 #endif |
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454 j = (double)jj; |
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455 assert((long)j == jj); |
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456 } |
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457 |
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458 else if (PyLong_Check(w)) { |
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459 int vsign = i == 0.0 ? 0 : i < 0.0 ? -1 : 1; |
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460 int wsign = _PyLong_Sign(w); |
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461 size_t nbits; |
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462 int exponent; |
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463 |
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464 if (vsign != wsign) { |
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465 /* Magnitudes are irrelevant -- the signs alone |
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466 * determine the outcome. |
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467 */ |
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468 i = (double)vsign; |
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469 j = (double)wsign; |
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470 goto Compare; |
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471 } |
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472 /* The signs are the same. */ |
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473 /* Convert w to a double if it fits. In particular, 0 fits. */ |
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474 nbits = _PyLong_NumBits(w); |
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475 if (nbits == (size_t)-1 && PyErr_Occurred()) { |
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476 /* This long is so large that size_t isn't big enough |
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477 * to hold the # of bits. Replace with little doubles |
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478 * that give the same outcome -- w is so large that |
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479 * its magnitude must exceed the magnitude of any |
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480 * finite float. |
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481 */ |
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482 PyErr_Clear(); |
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483 i = (double)vsign; |
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484 assert(wsign != 0); |
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485 j = wsign * 2.0; |
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486 goto Compare; |
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487 } |
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488 if (nbits <= 48) { |
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489 j = PyLong_AsDouble(w); |
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490 /* It's impossible that <= 48 bits overflowed. */ |
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491 assert(j != -1.0 || ! PyErr_Occurred()); |
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492 goto Compare; |
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493 } |
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494 assert(wsign != 0); /* else nbits was 0 */ |
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495 assert(vsign != 0); /* if vsign were 0, then since wsign is |
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496 * not 0, we would have taken the |
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497 * vsign != wsign branch at the start */ |
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498 /* We want to work with non-negative numbers. */ |
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499 if (vsign < 0) { |
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500 /* "Multiply both sides" by -1; this also swaps the |
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501 * comparator. |
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502 */ |
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503 i = -i; |
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504 op = _Py_SwappedOp[op]; |
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505 } |
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506 assert(i > 0.0); |
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507 (void) frexp(i, &exponent); |
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508 /* exponent is the # of bits in v before the radix point; |
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509 * we know that nbits (the # of bits in w) > 48 at this point |
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510 */ |
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511 if (exponent < 0 || (size_t)exponent < nbits) { |
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512 i = 1.0; |
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513 j = 2.0; |
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514 goto Compare; |
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515 } |
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516 if ((size_t)exponent > nbits) { |
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517 i = 2.0; |
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518 j = 1.0; |
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519 goto Compare; |
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520 } |
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521 /* v and w have the same number of bits before the radix |
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522 * point. Construct two longs that have the same comparison |
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523 * outcome. |
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524 */ |
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525 { |
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526 double fracpart; |
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527 double intpart; |
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528 PyObject *result = NULL; |
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529 PyObject *one = NULL; |
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530 PyObject *vv = NULL; |
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531 PyObject *ww = w; |
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Tim Peters <tim.peters@gmail.com>
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532 |
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533 if (wsign < 0) { |
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534 ww = PyNumber_Negative(w); |
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535 if (ww == NULL) |
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536 goto Error; |
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537 } |
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538 else |
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539 Py_INCREF(ww); |
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540 |
|
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541 fracpart = modf(i, &intpart); |
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542 vv = PyLong_FromDouble(intpart); |
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543 if (vv == NULL) |
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544 goto Error; |
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33547
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SF bug #513866: Float/long comparison anomaly.
Tim Peters <tim.peters@gmail.com>
parents:
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545 |
|
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546 if (fracpart != 0.0) { |
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547 /* Shift left, and or a 1 bit into vv |
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548 * to represent the lost fraction. |
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549 */ |
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550 PyObject *temp; |
|
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Tim Peters <tim.peters@gmail.com>
parents:
32533
diff
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|
551 |
|
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552 one = PyInt_FromLong(1); |
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553 if (one == NULL) |
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|
554 goto Error; |
|
33547
702367da2c72
SF bug #513866: Float/long comparison anomaly.
Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
555 |
|
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556 temp = PyNumber_Lshift(ww, one); |
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557 if (temp == NULL) |
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558 goto Error; |
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|
559 Py_DECREF(ww); |
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560 ww = temp; |
|
33547
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Tim Peters <tim.peters@gmail.com>
parents:
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diff
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561 |
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562 temp = PyNumber_Lshift(vv, one); |
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563 if (temp == NULL) |
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564 goto Error; |
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|
565 Py_DECREF(vv); |
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566 vv = temp; |
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SF bug #513866: Float/long comparison anomaly.
Tim Peters <tim.peters@gmail.com>
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567 |
|
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568 temp = PyNumber_Or(vv, one); |
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569 if (temp == NULL) |
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570 goto Error; |
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571 Py_DECREF(vv); |
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572 vv = temp; |
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573 } |
|
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Tim Peters <tim.peters@gmail.com>
parents:
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|
574 |
|
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575 r = PyObject_RichCompareBool(vv, ww, op); |
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576 if (r < 0) |
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577 goto Error; |
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578 result = PyBool_FromLong(r); |
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579 Error: |
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580 Py_XDECREF(vv); |
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581 Py_XDECREF(ww); |
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582 Py_XDECREF(one); |
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583 return result; |
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584 } |
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585 } /* else if (PyLong_Check(w)) */ |
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586 |
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587 else /* w isn't float, int, or long */ |
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588 goto Unimplemented; |
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589 |
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590 Compare: |
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591 PyFPE_START_PROTECT("richcompare", return NULL) |
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592 switch (op) { |
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593 case Py_EQ: |
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594 r = i == j; |
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595 break; |
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596 case Py_NE: |
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597 r = i != j; |
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598 break; |
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599 case Py_LE: |
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600 r = i <= j; |
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601 break; |
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602 case Py_GE: |
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603 r = i >= j; |
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604 break; |
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605 case Py_LT: |
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606 r = i < j; |
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607 break; |
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608 case Py_GT: |
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609 r = i > j; |
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610 break; |
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611 } |
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612 PyFPE_END_PROTECT(r) |
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613 return PyBool_FromLong(r); |
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614 |
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615 Unimplemented: |
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616 Py_INCREF(Py_NotImplemented); |
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617 return Py_NotImplemented; |
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618 } |
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619 |
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620 static long |
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621 float_hash(PyFloatObject *v) |
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622 { |
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623 return _Py_HashDouble(v->ob_fval); |
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624 } |
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625 |
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626 static PyObject * |
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627 float_add(PyObject *v, PyObject *w) |
| 6 | 628 { |
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629 double a,b; |
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630 CONVERT_TO_DOUBLE(v, a); |
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631 CONVERT_TO_DOUBLE(w, b); |
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632 PyFPE_START_PROTECT("add", return 0) |
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633 a = a + b; |
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634 PyFPE_END_PROTECT(a) |
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635 return PyFloat_FromDouble(a); |
| 6 | 636 } |
| 637 | |
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638 static PyObject * |
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639 float_sub(PyObject *v, PyObject *w) |
| 6 | 640 { |
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641 double a,b; |
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642 CONVERT_TO_DOUBLE(v, a); |
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643 CONVERT_TO_DOUBLE(w, b); |
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644 PyFPE_START_PROTECT("subtract", return 0) |
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645 a = a - b; |
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646 PyFPE_END_PROTECT(a) |
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647 return PyFloat_FromDouble(a); |
| 6 | 648 } |
| 649 | |
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650 static PyObject * |
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651 float_mul(PyObject *v, PyObject *w) |
| 6 | 652 { |
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653 double a,b; |
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654 CONVERT_TO_DOUBLE(v, a); |
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655 CONVERT_TO_DOUBLE(w, b); |
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656 PyFPE_START_PROTECT("multiply", return 0) |
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657 a = a * b; |
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658 PyFPE_END_PROTECT(a) |
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659 return PyFloat_FromDouble(a); |
| 6 | 660 } |
| 661 | |
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662 static PyObject * |
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663 float_div(PyObject *v, PyObject *w) |
| 6 | 664 { |
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665 double a,b; |
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666 CONVERT_TO_DOUBLE(v, a); |
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667 CONVERT_TO_DOUBLE(w, b); |
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I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
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668 #ifdef Py_NAN |
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669 if (b == 0.0) { |
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670 PyErr_SetString(PyExc_ZeroDivisionError, |
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671 "float division by zero"); |
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672 return NULL; |
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673 } |
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I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
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parents:
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674 #endif |
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675 PyFPE_START_PROTECT("divide", return 0) |
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676 a = a / b; |
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677 PyFPE_END_PROTECT(a) |
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678 return PyFloat_FromDouble(a); |
| 6 | 679 } |
| 680 | |
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681 static PyObject * |
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682 float_classic_div(PyObject *v, PyObject *w) |
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683 { |
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684 double a,b; |
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685 CONVERT_TO_DOUBLE(v, a); |
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686 CONVERT_TO_DOUBLE(w, b); |
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687 if (Py_DivisionWarningFlag >= 2 && |
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688 PyErr_Warn(PyExc_DeprecationWarning, "classic float division") < 0) |
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689 return NULL; |
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Christian Heimes <christian@cheimes.de>
parents:
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690 #ifdef Py_NAN |
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691 if (b == 0.0) { |
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692 PyErr_SetString(PyExc_ZeroDivisionError, |
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693 "float division by zero"); |
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694 return NULL; |
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695 } |
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I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
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parents:
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696 #endif |
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697 PyFPE_START_PROTECT("divide", return 0) |
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698 a = a / b; |
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699 PyFPE_END_PROTECT(a) |
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700 return PyFloat_FromDouble(a); |
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701 } |
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702 |
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703 static PyObject * |
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704 float_rem(PyObject *v, PyObject *w) |
| 6 | 705 { |
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706 double vx, wx; |
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707 double mod; |
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708 CONVERT_TO_DOUBLE(v, vx); |
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709 CONVERT_TO_DOUBLE(w, wx); |
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710 #ifdef Py_NAN |
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711 if (wx == 0.0) { |
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712 PyErr_SetString(PyExc_ZeroDivisionError, |
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713 "float modulo"); |
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714 return NULL; |
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715 } |
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716 #endif |
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717 PyFPE_START_PROTECT("modulo", return 0) |
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718 mod = fmod(vx, wx); |
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719 if (mod) { |
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720 /* ensure the remainder has the same sign as the denominator */ |
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721 if ((wx < 0) != (mod < 0)) { |
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722 mod += wx; |
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723 } |
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724 } |
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725 else { |
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726 /* the remainder is zero, and in the presence of signed zeroes |
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727 fmod returns different results across platforms; ensure |
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728 it has the same sign as the denominator; we'd like to do |
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729 "mod = wx * 0.0", but that may get optimized away */ |
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730 mod *= mod; /* hide "mod = +0" from optimizer */ |
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731 if (wx < 0.0) |
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732 mod = -mod; |
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733 } |
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734 PyFPE_END_PROTECT(mod) |
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735 return PyFloat_FromDouble(mod); |
| 6 | 736 } |
| 737 | |
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738 static PyObject * |
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739 float_divmod(PyObject *v, PyObject *w) |
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740 { |
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741 double vx, wx; |
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742 double div, mod, floordiv; |
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743 CONVERT_TO_DOUBLE(v, vx); |
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744 CONVERT_TO_DOUBLE(w, wx); |
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745 if (wx == 0.0) { |
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746 PyErr_SetString(PyExc_ZeroDivisionError, "float divmod()"); |
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747 return NULL; |
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748 } |
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749 PyFPE_START_PROTECT("divmod", return 0) |
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750 mod = fmod(vx, wx); |
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751 /* fmod is typically exact, so vx-mod is *mathematically* an |
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752 exact multiple of wx. But this is fp arithmetic, and fp |
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753 vx - mod is an approximation; the result is that div may |
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754 not be an exact integral value after the division, although |
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755 it will always be very close to one. |
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756 */ |
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757 div = (vx - mod) / wx; |
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758 if (mod) { |
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759 /* ensure the remainder has the same sign as the denominator */ |
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760 if ((wx < 0) != (mod < 0)) { |
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761 mod += wx; |
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762 div -= 1.0; |
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763 } |
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764 } |
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765 else { |
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766 /* the remainder is zero, and in the presence of signed zeroes |
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767 fmod returns different results across platforms; ensure |
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768 it has the same sign as the denominator; we'd like to do |
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769 "mod = wx * 0.0", but that may get optimized away */ |
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770 mod *= mod; /* hide "mod = +0" from optimizer */ |
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771 if (wx < 0.0) |
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772 mod = -mod; |
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773 } |
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774 /* snap quotient to nearest integral value */ |
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775 if (div) { |
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776 floordiv = floor(div); |
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777 if (div - floordiv > 0.5) |
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778 floordiv += 1.0; |
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779 } |
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780 else { |
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781 /* div is zero - get the same sign as the true quotient */ |
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782 div *= div; /* hide "div = +0" from optimizers */ |
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783 floordiv = div * vx / wx; /* zero w/ sign of vx/wx */ |
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784 } |
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785 PyFPE_END_PROTECT(floordiv) |
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786 return Py_BuildValue("(dd)", floordiv, mod); |
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787 } |
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788 |
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790 float_floor_div(PyObject *v, PyObject *w) |
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791 { |
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792 PyObject *t, *r; |
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793 |
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794 t = float_divmod(v, w); |
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795 if (t == NULL || t == Py_NotImplemented) |
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796 return t; |
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797 assert(PyTuple_CheckExact(t)); |
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798 r = PyTuple_GET_ITEM(t, 0); |
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799 Py_INCREF(r); |
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800 Py_DECREF(t); |
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801 return r; |
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802 } |
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803 |
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804 /* determine whether x is an odd integer or not; assumes that |
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805 x is not an infinity or nan. */ |
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806 #define DOUBLE_IS_ODD_INTEGER(x) (fmod(fabs(x), 2.0) == 1.0) |
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807 |
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808 static PyObject * |
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809 float_pow(PyObject *v, PyObject *w, PyObject *z) |
| 6 | 810 { |
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811 double iv, iw, ix; |
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812 int negate_result = 0; |
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813 |
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814 if ((PyObject *)z != Py_None) { |
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815 PyErr_SetString(PyExc_TypeError, "pow() 3rd argument not " |
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816 "allowed unless all arguments are integers"); |
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817 return NULL; |
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818 } |
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819 |
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820 CONVERT_TO_DOUBLE(v, iv); |
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821 CONVERT_TO_DOUBLE(w, iw); |
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822 |
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823 /* Sort out special cases here instead of relying on pow() */ |
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824 if (iw == 0) { /* v**0 is 1, even 0**0 */ |
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825 return PyFloat_FromDouble(1.0); |
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826 } |
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827 if (Py_IS_NAN(iv)) { /* nan**w = nan, unless w == 0 */ |
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828 return PyFloat_FromDouble(iv); |
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829 } |
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830 if (Py_IS_NAN(iw)) { /* v**nan = nan, unless v == 1; 1**nan = 1 */ |
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831 return PyFloat_FromDouble(iv == 1.0 ? 1.0 : iw); |
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832 } |
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833 if (Py_IS_INFINITY(iw)) { |
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834 /* v**inf is: 0.0 if abs(v) < 1; 1.0 if abs(v) == 1; inf if |
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835 * abs(v) > 1 (including case where v infinite) |
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836 * |
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837 * v**-inf is: inf if abs(v) < 1; 1.0 if abs(v) == 1; 0.0 if |
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838 * abs(v) > 1 (including case where v infinite) |
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839 */ |
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840 iv = fabs(iv); |
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841 if (iv == 1.0) |
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842 return PyFloat_FromDouble(1.0); |
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843 else if ((iw > 0.0) == (iv > 1.0)) |
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844 return PyFloat_FromDouble(fabs(iw)); /* return inf */ |
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845 else |
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846 return PyFloat_FromDouble(0.0); |
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847 } |
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848 if (Py_IS_INFINITY(iv)) { |
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849 /* (+-inf)**w is: inf for w positive, 0 for w negative; in |
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850 * both cases, we need to add the appropriate sign if w is |
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851 * an odd integer. |
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852 */ |
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853 int iw_is_odd = DOUBLE_IS_ODD_INTEGER(iw); |
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854 if (iw > 0.0) |
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855 return PyFloat_FromDouble(iw_is_odd ? iv : fabs(iv)); |
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856 else |
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857 return PyFloat_FromDouble(iw_is_odd ? |
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858 copysign(0.0, iv) : 0.0); |
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859 } |
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860 if (iv == 0.0) { /* 0**w is: 0 for w positive, 1 for w zero |
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861 (already dealt with above), and an error |
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862 if w is negative. */ |
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863 int iw_is_odd = DOUBLE_IS_ODD_INTEGER(iw); |
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864 if (iw < 0.0) { |
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865 PyErr_SetString(PyExc_ZeroDivisionError, |
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866 "0.0 cannot be raised to a " |
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867 "negative power"); |
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868 return NULL; |
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869 } |
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870 /* use correct sign if iw is odd */ |
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871 return PyFloat_FromDouble(iw_is_odd ? iv : 0.0); |
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872 } |
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873 |
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874 if (iv < 0.0) { |
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875 /* Whether this is an error is a mess, and bumps into libm |
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876 * bugs so we have to figure it out ourselves. |
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877 */ |
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878 if (iw != floor(iw)) { |
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879 PyErr_SetString(PyExc_ValueError, "negative number " |
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880 "cannot be raised to a fractional power"); |
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881 return NULL; |
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882 } |
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883 /* iw is an exact integer, albeit perhaps a very large |
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884 * one. Replace iv by its absolute value and remember |
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885 * to negate the pow result if iw is odd. |
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886 */ |
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887 iv = -iv; |
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888 negate_result = DOUBLE_IS_ODD_INTEGER(iw); |
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889 } |
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890 |
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891 if (iv == 1.0) { /* 1**w is 1, even 1**inf and 1**nan */ |
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892 /* (-1) ** large_integer also ends up here. Here's an |
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893 * extract from the comments for the previous |
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894 * implementation explaining why this special case is |
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895 * necessary: |
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896 * |
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897 * -1 raised to an exact integer should never be exceptional. |
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898 * Alas, some libms (chiefly glibc as of early 2003) return |
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899 * NaN and set EDOM on pow(-1, large_int) if the int doesn't |
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900 * happen to be representable in a *C* integer. That's a |
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901 * bug. |
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902 */ |
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903 return PyFloat_FromDouble(negate_result ? -1.0 : 1.0); |
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904 } |
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905 |
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906 /* Now iv and iw are finite, iw is nonzero, and iv is |
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907 * positive and not equal to 1.0. We finally allow |
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908 * the platform pow to step in and do the rest. |
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909 */ |
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910 errno = 0; |
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911 PyFPE_START_PROTECT("pow", return NULL) |
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912 ix = pow(iv, iw); |
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913 PyFPE_END_PROTECT(ix) |
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914 Py_ADJUST_ERANGE1(ix); |
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915 if (negate_result) |
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916 ix = -ix; |
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parents:
57485
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|
917 |
|
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|
918 if (errno != 0) { |
|
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|
919 /* We don't expect any errno value other than ERANGE, but |
|
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|
920 * the range of libm bugs appears unbounded. |
|
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|
921 */ |
|
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|
922 PyErr_SetFromErrno(errno == ERANGE ? PyExc_OverflowError : |
|
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|
923 PyExc_ValueError); |
|
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924 return NULL; |
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|
925 } |
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|
926 return PyFloat_FromDouble(ix); |
| 6 | 927 } |
| 928 | |
|
58001
ac5fd8909998
Issue #7534: Fix handling of nans, infinities, and negative zero in **
Mark Dickinson <dickinsm@gmail.com>
parents:
57485
diff
changeset
|
929 #undef DOUBLE_IS_ODD_INTEGER |
|
ac5fd8909998
Issue #7534: Fix handling of nans, infinities, and negative zero in **
Mark Dickinson <dickinsm@gmail.com>
parents:
57485
diff
changeset
|
930 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5197
diff
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|
931 static PyObject * |
|
13454
fcc75a3748f5
ANSI-fication of the sources.
Fred Drake <fdrake@acm.org>
parents:
13447
diff
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|
932 float_neg(PyFloatObject *v) |
| 6 | 933 { |
|
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|
934 return PyFloat_FromDouble(-v->ob_fval); |
| 6 | 935 } |
| 936 | |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5197
diff
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|
937 static PyObject * |
|
13454
fcc75a3748f5
ANSI-fication of the sources.
Fred Drake <fdrake@acm.org>
parents:
13447
diff
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|
938 float_abs(PyFloatObject *v) |
|
227
7ec6058b539b
Added (dummy) divmod and (functional) abs.
Guido van Rossum <guido@python.org>
parents:
145
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|
939 { |
|
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|
940 return PyFloat_FromDouble(fabs(v->ob_fval)); |
| 6 | 941 } |
| 942 | |
| 239 | 943 static int |
|
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fcc75a3748f5
ANSI-fication of the sources.
Fred Drake <fdrake@acm.org>
parents:
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diff
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|
944 float_nonzero(PyFloatObject *v) |
| 239 | 945 { |
|
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|
946 return v->ob_fval != 0.0; |
| 239 | 947 } |
| 948 | |
|
1313
6ee380349c84
* Added gmtime/localtime/mktime and SYSV timezone globals to timemodule.c.
Guido van Rossum <guido@python.org>
parents:
1271
diff
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|
949 static int |
|
13454
fcc75a3748f5
ANSI-fication of the sources.
Fred Drake <fdrake@acm.org>
parents:
13447
diff
changeset
|
950 float_coerce(PyObject **pv, PyObject **pw) |
|
955
03de67080c95
* classobject.[ch], {float,long,int}object.c, bltinmodule.c:
Guido van Rossum <guido@python.org>
parents:
795
diff
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|
951 { |
|
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|
952 if (PyInt_Check(*pw)) { |
|
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|
953 long x = PyInt_AsLong(*pw); |
|
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954 *pw = PyFloat_FromDouble((double)x); |
|
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|
955 Py_INCREF(*pv); |
|
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956 return 0; |
|
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957 } |
|
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958 else if (PyLong_Check(*pw)) { |
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|
959 double x = PyLong_AsDouble(*pw); |
|
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|
960 if (x == -1.0 && PyErr_Occurred()) |
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|
961 return -1; |
|
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|
962 *pw = PyFloat_FromDouble(x); |
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963 Py_INCREF(*pv); |
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964 return 0; |
|
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965 } |
|
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966 else if (PyFloat_Check(*pw)) { |
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967 Py_INCREF(*pv); |
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968 Py_INCREF(*pw); |
|
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969 return 0; |
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970 } |
|
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|
971 return 1; /* Can't do it */ |
|
955
03de67080c95
* classobject.[ch], {float,long,int}object.c, bltinmodule.c:
Guido van Rossum <guido@python.org>
parents:
795
diff
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972 } |
|
03de67080c95
* classobject.[ch], {float,long,int}object.c, bltinmodule.c:
Guido van Rossum <guido@python.org>
parents:
795
diff
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|
973 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5197
diff
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|
974 static PyObject * |
|
46473
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
975 float_is_integer(PyObject *v) |
|
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
976 { |
|
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977 double x = PyFloat_AsDouble(v); |
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978 PyObject *o; |
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979 |
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980 if (x == -1.0 && PyErr_Occurred()) |
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981 return NULL; |
|
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982 if (!Py_IS_FINITE(x)) |
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983 Py_RETURN_FALSE; |
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984 errno = 0; |
|
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|
985 PyFPE_START_PROTECT("is_integer", return NULL) |
|
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986 o = (floor(x) == x) ? Py_True : Py_False; |
|
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987 PyFPE_END_PROTECT(x) |
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988 if (errno != 0) { |
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989 PyErr_SetFromErrno(errno == ERANGE ? PyExc_OverflowError : |
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990 PyExc_ValueError); |
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991 return NULL; |
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992 } |
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993 Py_INCREF(o); |
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994 return o; |
|
46473
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
995 } |
|
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
996 |
|
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
997 #if 0 |
|
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
998 static PyObject * |
|
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
999 float_is_inf(PyObject *v) |
|
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
1000 { |
|
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1001 double x = PyFloat_AsDouble(v); |
|
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1002 if (x == -1.0 && PyErr_Occurred()) |
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1003 return NULL; |
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1004 return PyBool_FromLong((long)Py_IS_INFINITY(x)); |
|
46473
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
1005 } |
|
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
1006 |
|
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
1007 static PyObject * |
|
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
1008 float_is_nan(PyObject *v) |
|
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
1009 { |
|
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1010 double x = PyFloat_AsDouble(v); |
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1011 if (x == -1.0 && PyErr_Occurred()) |
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1012 return NULL; |
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1013 return PyBool_FromLong((long)Py_IS_NAN(x)); |
|
46473
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
1014 } |
|
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
1015 |
|
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
1016 static PyObject * |
|
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
1017 float_is_finite(PyObject *v) |
|
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
changeset
|
1018 { |
|
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Antoine Pitrou <solipsis@pitrou.net>
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1019 double x = PyFloat_AsDouble(v); |
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1020 if (x == -1.0 && PyErr_Occurred()) |
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1021 return NULL; |
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changeset
|
1022 return PyBool_FromLong((long)Py_IS_FINITE(x)); |
|
46473
5bc7b20dc04a
I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents:
46154
diff
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1023 } |
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1024 #endif |
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1025 |
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1026 static PyObject * |
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1027 float_trunc(PyObject *v) |
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1028 { |
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1029 double x = PyFloat_AsDouble(v); |
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1030 double wholepart; /* integral portion of x, rounded toward 0 */ |
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SF bug #444510: int() should guarantee truncation.
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1031 |
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1032 (void)modf(x, &wholepart); |
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1033 /* Try to get out cheap if this fits in a Python int. The attempt |
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1034 * to cast to long must be protected, as C doesn't define what |
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1035 * happens if the double is too big to fit in a long. Some rare |
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1036 * systems raise an exception then (RISCOS was mentioned as one, |
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1037 * and someone using a non-default option on Sun also bumped into |
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1038 * that). Note that checking for <= LONG_MAX is unsafe: if a long |
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1039 * has more bits of precision than a double, casting LONG_MAX to |
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1040 * double may yield an approximation, and if that's rounded up, |
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1041 * then, e.g., wholepart=LONG_MAX+1 would yield true from the C |
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1042 * expression wholepart<=LONG_MAX, despite that wholepart is |
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1043 * actually greater than LONG_MAX. However, assuming a two's complement |
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1044 * machine with no trap representation, LONG_MIN will be a power of 2 (and |
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1045 * hence exactly representable as a double), and LONG_MAX = -1-LONG_MIN, so |
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1046 * the comparisons with (double)LONG_MIN below should be safe. |
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1047 */ |
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1048 if ((double)LONG_MIN <= wholepart && wholepart < -(double)LONG_MIN) { |
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1049 const long aslong = (long)wholepart; |
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1050 return PyInt_FromLong(aslong); |
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1051 } |
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1052 return PyLong_FromDouble(wholepart); |
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1053 } |
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1054 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
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1055 static PyObject * |
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#3777: long(4.2) returned an int, and broke backward compatibility.
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1056 float_long(PyObject *v) |
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#3777: long(4.2) returned an int, and broke backward compatibility.
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1057 { |
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1058 double x = PyFloat_AsDouble(v); |
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1059 return PyLong_FromDouble(x); |
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1060 } |
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1061 |
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1062 /* _Py_double_round: rounds a finite nonzero double to the closest multiple of |
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1063 10**-ndigits; here ndigits is within reasonable bounds (typically, -308 <= |
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1064 ndigits <= 323). Returns a Python float, or sets a Python error and |
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1065 returns NULL on failure (OverflowError and memory errors are possible). */ |
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1066 |
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1067 #ifndef PY_NO_SHORT_FLOAT_REPR |
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1068 /* version of _Py_double_round that uses the correctly-rounded string<->double |
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1069 conversions from Python/dtoa.c */ |
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1070 |
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1071 /* FIVE_POW_LIMIT is the largest k such that 5**k is exactly representable as |
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1072 a double. Since we're using the code in Python/dtoa.c, it should be safe |
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1073 to assume that C doubles are IEEE 754 binary64 format. To be on the safe |
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1074 side, we check this. */ |
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1075 #if DBL_MANT_DIG == 53 |
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1076 #define FIVE_POW_LIMIT 22 |
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1077 #else |
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1078 #error "C doubles do not appear to be IEEE 754 binary64 format" |
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1079 #endif |
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1080 |
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1081 PyObject * |
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1082 _Py_double_round(double x, int ndigits) { |
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1083 |
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1084 double rounded, m; |
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1085 Py_ssize_t buflen, mybuflen=100; |
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1086 char *buf, *buf_end, shortbuf[100], *mybuf=shortbuf; |
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1087 int decpt, sign, val, halfway_case; |
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1088 PyObject *result = NULL; |
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Issue #13889: Add missing _Py_SET_53BIT_PRECISION_* calls around uses of dtoa.c functions in float round.
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1089 _Py_SET_53BIT_PRECISION_HEADER; |
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1090 |
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Issue #9742: Sneaky fix for build failure on Solaris 9.
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1091 /* Easy path for the common case ndigits == 0. */ |
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1092 if (ndigits == 0) { |
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1093 rounded = round(x); |
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1094 if (fabs(rounded - x) == 0.5) |
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1095 /* halfway between two integers; use round-away-from-zero */ |
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1096 rounded = x + (x > 0.0 ? 0.5 : -0.5); |
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1097 return PyFloat_FromDouble(rounded); |
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1098 } |
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1099 |
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1100 /* The basic idea is very simple: convert and round the double to a |
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1101 decimal string using _Py_dg_dtoa, then convert that decimal string |
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1102 back to a double with _Py_dg_strtod. There's one minor difficulty: |
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1103 Python 2.x expects round to do round-half-away-from-zero, while |
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1104 _Py_dg_dtoa does round-half-to-even. So we need some way to detect |
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1105 and correct the halfway cases. |
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1106 |
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1107 Detection: a halfway value has the form k * 0.5 * 10**-ndigits for |
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1108 some odd integer k. Or in other words, a rational number x is |
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1109 exactly halfway between two multiples of 10**-ndigits if its |
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1110 2-valuation is exactly -ndigits-1 and its 5-valuation is at least |
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1111 -ndigits. For ndigits >= 0 the latter condition is automatically |
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1112 satisfied for a binary float x, since any such float has |
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1113 nonnegative 5-valuation. For 0 > ndigits >= -22, x needs to be an |
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1114 integral multiple of 5**-ndigits; we can check this using fmod. |
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1115 For -22 > ndigits, there are no halfway cases: 5**23 takes 54 bits |
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1116 to represent exactly, so any odd multiple of 0.5 * 10**n for n >= |
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1117 23 takes at least 54 bits of precision to represent exactly. |
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1118 |
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1119 Correction: a simple strategy for dealing with halfway cases is to |
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1120 (for the halfway cases only) call _Py_dg_dtoa with an argument of |
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1121 ndigits+1 instead of ndigits (thus doing an exact conversion to |
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1122 decimal), round the resulting string manually, and then convert |
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1123 back using _Py_dg_strtod. |
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1124 */ |
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1125 |
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1126 /* nans, infinities and zeros should have already been dealt |
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1127 with by the caller (in this case, builtin_round) */ |
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1128 assert(Py_IS_FINITE(x) && x != 0.0); |
|
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1129 |
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1130 /* find 2-valuation val of x */ |
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1131 m = frexp(x, &val); |
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1132 while (m != floor(m)) { |
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1133 m *= 2.0; |
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1134 val--; |
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1135 } |
|
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1136 |
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1137 /* determine whether this is a halfway case */ |
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1138 if (val == -ndigits-1) { |
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1139 if (ndigits >= 0) |
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1140 halfway_case = 1; |
|
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1141 else if (ndigits >= -FIVE_POW_LIMIT) { |
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1142 double five_pow = 1.0; |
|
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1143 int i; |
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1144 for (i=0; i < -ndigits; i++) |
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1145 five_pow *= 5.0; |
|
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1146 halfway_case = fmod(x, five_pow) == 0.0; |
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1147 } |
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1148 else |
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1149 halfway_case = 0; |
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1150 } |
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1151 else |
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1152 halfway_case = 0; |
|
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1153 |
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1154 /* round to a decimal string; use an extra place for halfway case */ |
|
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1155 _Py_SET_53BIT_PRECISION_START; |
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1156 buf = _Py_dg_dtoa(x, 3, ndigits+halfway_case, &decpt, &sign, &buf_end); |
|
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1157 _Py_SET_53BIT_PRECISION_END; |
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1158 if (buf == NULL) { |
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1159 PyErr_NoMemory(); |
|
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1160 return NULL; |
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1161 } |
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1162 buflen = buf_end - buf; |
|
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|
1163 |
|
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1164 /* in halfway case, do the round-half-away-from-zero manually */ |
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1165 if (halfway_case) { |
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1166 int i, carry; |
|
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1167 /* sanity check: _Py_dg_dtoa should not have stripped |
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1168 any zeros from the result: there should be exactly |
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1169 ndigits+1 places following the decimal point, and |
|
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1170 the last digit in the buffer should be a '5'.*/ |
|
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1171 assert(buflen - decpt == ndigits+1); |
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1172 assert(buf[buflen-1] == '5'); |
|
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1173 |
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1174 /* increment and shift right at the same time. */ |
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1175 decpt += 1; |
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1176 carry = 1; |
|
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1177 for (i=buflen-1; i-- > 0;) { |
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1178 carry += buf[i] - '0'; |
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1179 buf[i+1] = carry % 10 + '0'; |
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1180 carry /= 10; |
|
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1181 } |
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1182 buf[0] = carry + '0'; |
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1183 } |
|
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|
1184 |
|
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1185 /* Get new buffer if shortbuf is too small. Space needed <= buf_end - |
|
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1186 buf + 8: (1 extra for '0', 1 for sign, 5 for exp, 1 for '\0'). */ |
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1187 if (buflen + 8 > mybuflen) { |
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|
1188 mybuflen = buflen+8; |
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1189 mybuf = (char *)PyMem_Malloc(mybuflen); |
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1190 if (mybuf == NULL) { |
|
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|
1191 PyErr_NoMemory(); |
|
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|
1192 goto exit; |
|
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|
1193 } |
|
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1194 } |
|
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1195 /* copy buf to mybuf, adding exponent, sign and leading 0 */ |
|
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1196 PyOS_snprintf(mybuf, mybuflen, "%s0%se%d", (sign ? "-" : ""), |
|
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1197 buf, decpt - (int)buflen); |
|
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1198 |
|
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1199 /* and convert the resulting string back to a double */ |
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1200 errno = 0; |
|
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|
1201 _Py_SET_53BIT_PRECISION_START; |
|
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1202 rounded = _Py_dg_strtod(mybuf, NULL); |
|
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1203 _Py_SET_53BIT_PRECISION_END; |
|
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1204 if (errno == ERANGE && fabs(rounded) >= 1.) |
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1205 PyErr_SetString(PyExc_OverflowError, |
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|
1206 "rounded value too large to represent"); |
|
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1207 else |
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1208 result = PyFloat_FromDouble(rounded); |
|
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|
1209 |
|
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|
1210 /* done computing value; now clean up */ |
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1211 if (mybuf != shortbuf) |
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1212 PyMem_Free(mybuf); |
|
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|
1213 exit: |
|
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|
1214 _Py_dg_freedtoa(buf); |
|
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1215 return result; |
|
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|
1216 } |
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1217 |
|
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|
1218 #undef FIVE_POW_LIMIT |
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1219 |
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|
1220 #else /* PY_NO_SHORT_FLOAT_REPR */ |
|
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|
1221 |
|
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|
1222 /* fallback version, to be used when correctly rounded binary<->decimal |
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|
1223 conversions aren't available */ |
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1224 |
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|
1225 PyObject * |
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|
1226 _Py_double_round(double x, int ndigits) { |
|
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|
1227 double pow1, pow2, y, z; |
|
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|
1228 if (ndigits >= 0) { |
|
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|
1229 if (ndigits > 22) { |
|
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|
1230 /* pow1 and pow2 are each safe from overflow, but |
|
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|
1231 pow1*pow2 ~= pow(10.0, ndigits) might overflow */ |
|
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Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
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|
1232 pow1 = pow(10.0, (double)(ndigits-22)); |
|
fd25030223b0
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Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1233 pow2 = 1e22; |
|
fd25030223b0
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Antoine Pitrou <solipsis@pitrou.net>
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diff
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|
1234 } |
|
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Antoine Pitrou <solipsis@pitrou.net>
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|
1235 else { |
|
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parents:
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diff
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|
1236 pow1 = pow(10.0, (double)ndigits); |
|
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Antoine Pitrou <solipsis@pitrou.net>
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diff
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|
1237 pow2 = 1.0; |
|
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diff
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|
1238 } |
|
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|
1239 y = (x*pow1)*pow2; |
|
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Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
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|
1240 /* if y overflows, then rounded value is exactly x */ |
|
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Antoine Pitrou <solipsis@pitrou.net>
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|
1241 if (!Py_IS_FINITE(y)) |
|
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|
1242 return PyFloat_FromDouble(x); |
|
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|
1243 } |
|
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|
1244 else { |
|
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diff
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|
1245 pow1 = pow(10.0, (double)-ndigits); |
|
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diff
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|
1246 pow2 = 1.0; /* unused; silences a gcc compiler warning */ |
|
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|
1247 y = x / pow1; |
|
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|
1248 } |
|
57324
92e06cdbeab9
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Mark Dickinson <dickinsm@gmail.com>
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|
1249 |
|
61463
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|
1250 z = round(y); |
|
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|
1251 if (fabs(y-z) == 0.5) |
|
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|
1252 /* halfway between two integers; use round-away-from-zero */ |
|
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|
1253 z = y + copysign(0.5, y); |
|
57324
92e06cdbeab9
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Mark Dickinson <dickinsm@gmail.com>
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|
1254 |
|
61463
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|
1255 if (ndigits >= 0) |
|
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|
1256 z = (z / pow2) / pow1; |
|
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|
1257 else |
|
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|
1258 z *= pow1; |
|
57324
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Mark Dickinson <dickinsm@gmail.com>
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|
1259 |
|
61463
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|
1260 /* if computation resulted in overflow, raise OverflowError */ |
|
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1261 if (!Py_IS_FINITE(z)) { |
|
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|
1262 PyErr_SetString(PyExc_OverflowError, |
|
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|
1263 "overflow occurred during round"); |
|
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1264 return NULL; |
|
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|
1265 } |
|
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|
1266 |
|
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|
1267 return PyFloat_FromDouble(z); |
|
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|
1268 } |
|
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|
1269 |
|
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|
1270 #endif /* PY_NO_SHORT_FLOAT_REPR */ |
|
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|
1271 |
|
49104
974040c8f369
#3777: long(4.2) returned an int, and broke backward compatibility.
Amaury Forgeot d'Arc <amauryfa@gmail.com>
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diff
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|
1272 static PyObject * |
|
13454
fcc75a3748f5
ANSI-fication of the sources.
Fred Drake <fdrake@acm.org>
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diff
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|
1273 float_float(PyObject *v) |
|
1049
2ed511171809
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Guido van Rossum <guido@python.org>
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1274 { |
|
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1275 if (PyFloat_CheckExact(v)) |
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1276 Py_INCREF(v); |
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1277 else |
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1278 v = PyFloat_FromDouble(((PyFloatObject *)v)->ob_fval); |
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1279 return v; |
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1280 } |
|
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1281 |
|
47966
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Issue #3008: add instance method float.hex and class method float.fromhex
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1282 /* turn ASCII hex characters into integer values and vice versa */ |
|
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1283 |
|
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1284 static char |
|
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1285 char_from_hex(int x) |
|
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1286 { |
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1287 assert(0 <= x && x < 16); |
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1288 return "0123456789abcdef"[x]; |
|
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1289 } |
|
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1290 |
|
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1291 static int |
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1292 hex_from_char(char c) { |
|
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1293 int x; |
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1294 switch(c) { |
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1295 case '0': |
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1296 x = 0; |
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1298 case '1': |
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1299 x = 1; |
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1301 case '2': |
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1304 case '3': |
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1305 x = 3; |
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1307 case '4': |
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1310 case '5': |
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1311 x = 5; |
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1313 case '6': |
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1314 x = 6; |
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1316 case '7': |
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1317 x = 7; |
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1322 case '9': |
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1325 case 'a': |
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1326 case 'A': |
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1330 case 'B': |
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1345 case 'f': |
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1346 case 'F': |
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1347 x = 15; |
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1348 break; |
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1349 default: |
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1350 x = -1; |
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1351 break; |
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1352 } |
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1353 return x; |
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1354 } |
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1355 |
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1356 /* convert a float to a hexadecimal string */ |
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1357 |
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1358 /* TOHEX_NBITS is DBL_MANT_DIG rounded up to the next integer |
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1359 of the form 4k+1. */ |
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1360 #define TOHEX_NBITS DBL_MANT_DIG + 3 - (DBL_MANT_DIG+2)%4 |
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1361 |
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1362 static PyObject * |
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1363 float_hex(PyObject *v) |
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1364 { |
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1365 double x, m; |
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1366 int e, shift, i, si, esign; |
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1367 /* Space for 1+(TOHEX_NBITS-1)/4 digits, a decimal point, and the |
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1368 trailing NUL byte. */ |
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1369 char s[(TOHEX_NBITS-1)/4+3]; |
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1370 |
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1371 CONVERT_TO_DOUBLE(v, x); |
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1372 |
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1373 if (Py_IS_NAN(x) || Py_IS_INFINITY(x)) |
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1374 return float_str((PyFloatObject *)v); |
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1375 |
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1376 if (x == 0.0) { |
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1377 if (copysign(1.0, x) == -1.0) |
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1378 return PyString_FromString("-0x0.0p+0"); |
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1379 else |
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1380 return PyString_FromString("0x0.0p+0"); |
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1381 } |
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1382 |
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1383 m = frexp(fabs(x), &e); |
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1384 shift = 1 - MAX(DBL_MIN_EXP - e, 0); |
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1385 m = ldexp(m, shift); |
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1386 e -= shift; |
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1387 |
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1388 si = 0; |
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1389 s[si] = char_from_hex((int)m); |
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1390 si++; |
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1391 m -= (int)m; |
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1392 s[si] = '.'; |
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1393 si++; |
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1394 for (i=0; i < (TOHEX_NBITS-1)/4; i++) { |
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1395 m *= 16.0; |
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1396 s[si] = char_from_hex((int)m); |
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1397 si++; |
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1398 m -= (int)m; |
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1399 } |
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1400 s[si] = '\0'; |
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1401 |
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1402 if (e < 0) { |
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1403 esign = (int)'-'; |
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1404 e = -e; |
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1405 } |
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1406 else |
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1407 esign = (int)'+'; |
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1408 |
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1409 if (x < 0.0) |
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1410 return PyString_FromFormat("-0x%sp%c%d", s, esign, e); |
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1411 else |
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1412 return PyString_FromFormat("0x%sp%c%d", s, esign, e); |
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1413 } |
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1414 |
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1415 PyDoc_STRVAR(float_hex_doc, |
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1416 "float.hex() -> string\n\ |
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1417 \n\ |
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1418 Return a hexadecimal representation of a floating-point number.\n\ |
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1419 >>> (-0.1).hex()\n\ |
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1420 '-0x1.999999999999ap-4'\n\ |
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1421 >>> 3.14159.hex()\n\ |
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1422 '0x1.921f9f01b866ep+1'"); |
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1423 |
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1424 /* Case-insensitive locale-independent string match used for nan and inf |
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1425 detection. t should be lower-case and null-terminated. Return a nonzero |
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1426 result if the first strlen(t) characters of s match t and 0 otherwise. */ |
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1428 static int |
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1429 case_insensitive_match(const char *s, const char *t) |
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1430 { |
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1431 while(*t && Py_TOLOWER(*s) == *t) { |
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1432 s++; |
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1433 t++; |
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1434 } |
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1435 return *t ? 0 : 1; |
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1436 } |
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1437 |
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1438 /* Convert a hexadecimal string to a float. */ |
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1439 |
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1440 static PyObject * |
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1441 float_fromhex(PyObject *cls, PyObject *arg) |
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1442 { |
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1443 PyObject *result_as_float, *result; |
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1444 double x; |
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1445 long exp, top_exp, lsb, key_digit; |
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1446 char *s, *coeff_start, *s_store, *coeff_end, *exp_start, *s_end; |
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1447 int half_eps, digit, round_up, sign=1; |
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1448 Py_ssize_t length, ndigits, fdigits, i; |
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1450 /* |
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|
1451 * For the sake of simplicity and correctness, we impose an artificial |
|
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1452 * limit on ndigits, the total number of hex digits in the coefficient |
|
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1453 * The limit is chosen to ensure that, writing exp for the exponent, |
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1454 * |
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1455 * (1) if exp > LONG_MAX/2 then the value of the hex string is |
|
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|
1456 * guaranteed to overflow (provided it's nonzero) |
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1457 * |
|
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1458 * (2) if exp < LONG_MIN/2 then the value of the hex string is |
|
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|
1459 * guaranteed to underflow to 0. |
|
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1460 * |
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1461 * (3) if LONG_MIN/2 <= exp <= LONG_MAX/2 then there's no danger of |
|
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1462 * overflow in the calculation of exp and top_exp below. |
|
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1463 * |
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1464 * More specifically, ndigits is assumed to satisfy the following |
|
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1465 * inequalities: |
|
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1466 * |
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|
1467 * 4*ndigits <= DBL_MIN_EXP - DBL_MANT_DIG - LONG_MIN/2 |
|
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1468 * 4*ndigits <= LONG_MAX/2 + 1 - DBL_MAX_EXP |
|
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1469 * |
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1470 * If either of these inequalities is not satisfied, a ValueError is |
|
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1471 * raised. Otherwise, write x for the value of the hex string, and |
|
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1472 * assume x is nonzero. Then |
|
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1473 * |
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1474 * 2**(exp-4*ndigits) <= |x| < 2**(exp+4*ndigits). |
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1475 * |
|
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1476 * Now if exp > LONG_MAX/2 then: |
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1477 * |
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1478 * exp - 4*ndigits >= LONG_MAX/2 + 1 - (LONG_MAX/2 + 1 - DBL_MAX_EXP) |
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|
1479 * = DBL_MAX_EXP |
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1480 * |
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1481 * so |x| >= 2**DBL_MAX_EXP, which is too large to be stored in C |
|
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1482 * double, so overflows. If exp < LONG_MIN/2, then |
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1483 * |
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1484 * exp + 4*ndigits <= LONG_MIN/2 - 1 + ( |
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1485 * DBL_MIN_EXP - DBL_MANT_DIG - LONG_MIN/2) |
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1486 * = DBL_MIN_EXP - DBL_MANT_DIG - 1 |
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1487 * |
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1488 * and so |x| < 2**(DBL_MIN_EXP-DBL_MANT_DIG-1), hence underflows to 0 |
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1489 * when converted to a C double. |
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1490 * |
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1491 * It's easy to show that if LONG_MIN/2 <= exp <= LONG_MAX/2 then both |
|
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1492 * exp+4*ndigits and exp-4*ndigits are within the range of a long. |
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1493 */ |
|
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97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
1494 |
|
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1495 if (PyString_AsStringAndSize(arg, &s, &length)) |
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1496 return NULL; |
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|
1497 s_end = s + length; |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
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|
1498 |
|
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1499 /******************** |
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1500 * Parse the string * |
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|
1501 ********************/ |
|
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97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
1502 |
|
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|
1503 /* leading whitespace and optional sign */ |
|
61463
fd25030223b0
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Antoine Pitrou <solipsis@pitrou.net>
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|
1504 while (Py_ISSPACE(*s)) |
|
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1505 s++; |
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|
1506 if (*s == '-') { |
|
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1507 s++; |
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1508 sign = -1; |
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1509 } |
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1510 else if (*s == '+') |
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1511 s++; |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
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|
1512 |
|
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|
1513 /* infinities and nans */ |
|
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1514 if (*s == 'i' || *s == 'I') { |
|
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1515 if (!case_insensitive_match(s+1, "nf")) |
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|
1516 goto parse_error; |
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1517 s += 3; |
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1518 x = Py_HUGE_VAL; |
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|
1519 if (case_insensitive_match(s, "inity")) |
|
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1520 s += 5; |
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1521 goto finished; |
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1522 } |
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1523 if (*s == 'n' || *s == 'N') { |
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|
1524 if (!case_insensitive_match(s+1, "an")) |
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1525 goto parse_error; |
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1526 s += 3; |
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|
1527 x = Py_NAN; |
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1528 goto finished; |
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|
1529 } |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
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|
1530 |
|
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1531 /* [0x] */ |
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1532 s_store = s; |
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1533 if (*s == '0') { |
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1534 s++; |
|
61463
fd25030223b0
Untabify C files. Will watch buildbots.
Antoine Pitrou <solipsis@pitrou.net>
parents:
61323
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|
1535 if (*s == 'x' || *s == 'X') |
|
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1536 s++; |
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1537 else |
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|
1538 s = s_store; |
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1539 } |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
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|
1540 |
|
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1541 /* coefficient: <integer> [. <fraction>] */ |
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|
1542 coeff_start = s; |
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1543 while (hex_from_char(*s) >= 0) |
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1544 s++; |
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|
1545 s_store = s; |
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1546 if (*s == '.') { |
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1547 s++; |
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1548 while (hex_from_char(*s) >= 0) |
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1549 s++; |
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|
1550 coeff_end = s-1; |
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1551 } |
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1552 else |
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|
1553 coeff_end = s; |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
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|
1554 |
|
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1555 /* ndigits = total # of hex digits; fdigits = # after point */ |
|
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1556 ndigits = coeff_end - coeff_start; |
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1557 fdigits = coeff_end - s_store; |
|
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Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1558 if (ndigits == 0) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1559 goto parse_error; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1560 if (ndigits > MIN(DBL_MIN_EXP - DBL_MANT_DIG - LONG_MIN/2, |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1561 LONG_MAX/2 + 1 - DBL_MAX_EXP)/4) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1562 goto insane_length_error; |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1563 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1564 /* [p <exponent>] */ |
|
61463
fd25030223b0
Untabify C files. Will watch buildbots.
Antoine Pitrou <solipsis@pitrou.net>
parents:
61323
diff
changeset
|
1565 if (*s == 'p' || *s == 'P') { |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1566 s++; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1567 exp_start = s; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1568 if (*s == '-' || *s == '+') |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1569 s++; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1570 if (!('0' <= *s && *s <= '9')) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1571 goto parse_error; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1572 s++; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1573 while ('0' <= *s && *s <= '9') |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1574 s++; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1575 exp = strtol(exp_start, NULL, 10); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1576 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1577 else |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1578 exp = 0; |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1579 |
|
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1580 /* for 0 <= j < ndigits, HEX_DIGIT(j) gives the jth most significant digit */ |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1581 #define HEX_DIGIT(j) hex_from_char(*((j) < fdigits ? \ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1582 coeff_end-(j) : \ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1583 coeff_end-1-(j))) |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1584 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1585 /******************************************* |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1586 * Compute rounded value of the hex string * |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1587 *******************************************/ |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1588 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1589 /* Discard leading zeros, and catch extreme overflow and underflow */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1590 while (ndigits > 0 && HEX_DIGIT(ndigits-1) == 0) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1591 ndigits--; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1592 if (ndigits == 0 || exp < LONG_MIN/2) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1593 x = 0.0; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1594 goto finished; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1595 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1596 if (exp > LONG_MAX/2) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1597 goto overflow_error; |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1598 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1599 /* Adjust exponent for fractional part. */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1600 exp = exp - 4*((long)fdigits); |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1601 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1602 /* top_exp = 1 more than exponent of most sig. bit of coefficient */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1603 top_exp = exp + 4*((long)ndigits - 1); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1604 for (digit = HEX_DIGIT(ndigits-1); digit != 0; digit /= 2) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1605 top_exp++; |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1606 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1607 /* catch almost all nonextreme cases of overflow and underflow here */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1608 if (top_exp < DBL_MIN_EXP - DBL_MANT_DIG) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1609 x = 0.0; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1610 goto finished; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1611 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1612 if (top_exp > DBL_MAX_EXP) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1613 goto overflow_error; |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1614 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1615 /* lsb = exponent of least significant bit of the *rounded* value. |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1616 This is top_exp - DBL_MANT_DIG unless result is subnormal. */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1617 lsb = MAX(top_exp, (long)DBL_MIN_EXP) - DBL_MANT_DIG; |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1618 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1619 x = 0.0; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1620 if (exp >= lsb) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1621 /* no rounding required */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1622 for (i = ndigits-1; i >= 0; i--) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1623 x = 16.0*x + HEX_DIGIT(i); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1624 x = ldexp(x, (int)(exp)); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1625 goto finished; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1626 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1627 /* rounding required. key_digit is the index of the hex digit |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1628 containing the first bit to be rounded away. */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1629 half_eps = 1 << (int)((lsb - exp - 1) % 4); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1630 key_digit = (lsb - exp - 1) / 4; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1631 for (i = ndigits-1; i > key_digit; i--) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1632 x = 16.0*x + HEX_DIGIT(i); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1633 digit = HEX_DIGIT(key_digit); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1634 x = 16.0*x + (double)(digit & (16-2*half_eps)); |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1635 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1636 /* round-half-even: round up if bit lsb-1 is 1 and at least one of |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1637 bits lsb, lsb-2, lsb-3, lsb-4, ... is 1. */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1638 if ((digit & half_eps) != 0) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1639 round_up = 0; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1640 if ((digit & (3*half_eps-1)) != 0 || |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1641 (half_eps == 8 && (HEX_DIGIT(key_digit+1) & 1) != 0)) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1642 round_up = 1; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1643 else |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1644 for (i = key_digit-1; i >= 0; i--) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1645 if (HEX_DIGIT(i) != 0) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1646 round_up = 1; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1647 break; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1648 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1649 if (round_up == 1) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1650 x += 2*half_eps; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1651 if (top_exp == DBL_MAX_EXP && |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1652 x == ldexp((double)(2*half_eps), DBL_MANT_DIG)) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1653 /* overflow corner case: pre-rounded value < |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1654 2**DBL_MAX_EXP; rounded=2**DBL_MAX_EXP. */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1655 goto overflow_error; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1656 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1657 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1658 x = ldexp(x, (int)(exp+4*key_digit)); |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1659 |
|
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1660 finished: |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1661 /* optional trailing whitespace leading to the end of the string */ |
|
61463
fd25030223b0
Untabify C files. Will watch buildbots.
Antoine Pitrou <solipsis@pitrou.net>
parents:
61323
diff
changeset
|
1662 while (Py_ISSPACE(*s)) |
|
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1663 s++; |
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|
1664 if (s != s_end) |
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1665 goto parse_error; |
|
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1666 result_as_float = Py_BuildValue("(d)", sign * x); |
|
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|
1667 if (result_as_float == NULL) |
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|
1668 return NULL; |
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|
1669 result = PyObject_CallObject(cls, result_as_float); |
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|
1670 Py_DECREF(result_as_float); |
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|
1671 return result; |
|
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97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
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|
1672 |
|
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
1673 overflow_error: |
|
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|
1674 PyErr_SetString(PyExc_OverflowError, |
|
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1675 "hexadecimal value too large to represent as a float"); |
|
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|
1676 return NULL; |
|
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Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
1677 |
|
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Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
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|
1678 parse_error: |
|
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|
1679 PyErr_SetString(PyExc_ValueError, |
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1680 "invalid hexadecimal floating-point string"); |
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1681 return NULL; |
|
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Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
1682 |
|
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
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|
1683 insane_length_error: |
|
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1684 PyErr_SetString(PyExc_ValueError, |
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1685 "hexadecimal string too long to convert"); |
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1686 return NULL; |
|
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Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
1687 } |
|
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
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|
1688 |
|
97ba936e8df8
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Mark Dickinson <dickinsm@gmail.com>
parents:
47897
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|
1689 PyDoc_STRVAR(float_fromhex_doc, |
|
97ba936e8df8
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Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
1690 "float.fromhex(string) -> float\n\ |
|
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Mark Dickinson <dickinsm@gmail.com>
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1691 \n\ |
|
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Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
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|
1692 Create a floating-point number from a hexadecimal string.\n\ |
|
97ba936e8df8
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Mark Dickinson <dickinsm@gmail.com>
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|
1693 >>> float.fromhex('0x1.ffffp10')\n\ |
|
97ba936e8df8
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Mark Dickinson <dickinsm@gmail.com>
parents:
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|
1694 2047.984375\n\ |
|
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
1695 >>> float.fromhex('-0x1p-1074')\n\ |
|
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Mark Dickinson <dickinsm@gmail.com>
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|
1696 -4.9406564584124654e-324"); |
|
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Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
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|
1697 |
|
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Mark Dickinson <dickinsm@gmail.com>
parents:
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|
1698 |
|
45024
f062dda54894
Moved Rational._binary_float_to_ratio() to float.as_integer_ratio() because
Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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diff
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|
1699 static PyObject * |
|
45094
beea73ca2b88
Issue #1996: float.as_integer_ratio() should return fraction in lowest terms.
Raymond Hettinger <python@rcn.com>
parents:
45060
diff
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|
1700 float_as_integer_ratio(PyObject *v, PyObject *unused) |
|
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Jeffrey Yasskin <jyasskin@gmail.com>
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|
1701 { |
|
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1702 double self; |
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|
1703 double float_part; |
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1704 int exponent; |
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|
1705 int i; |
|
45094
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Issue #1996: float.as_integer_ratio() should return fraction in lowest terms.
Raymond Hettinger <python@rcn.com>
parents:
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|
1706 |
|
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1707 PyObject *prev; |
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1708 PyObject *py_exponent = NULL; |
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1709 PyObject *numerator = NULL; |
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1710 PyObject *denominator = NULL; |
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1711 PyObject *result_pair = NULL; |
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1712 PyNumberMethods *long_methods = PyLong_Type.tp_as_number; |
|
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f062dda54894
Moved Rational._binary_float_to_ratio() to float.as_integer_ratio() because
Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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|
1713 |
|
f062dda54894
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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|
1714 #define INPLACE_UPDATE(obj, call) \ |
|
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1715 prev = obj; \ |
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1716 obj = call; \ |
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|
1717 Py_DECREF(prev); \ |
|
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Jeffrey Yasskin <jyasskin@gmail.com>
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|
1718 |
|
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|
1719 CONVERT_TO_DOUBLE(v, self); |
|
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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|
1720 |
|
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1721 if (Py_IS_INFINITY(self)) { |
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1722 PyErr_SetString(PyExc_OverflowError, |
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1723 "Cannot pass infinity to float.as_integer_ratio."); |
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1724 return NULL; |
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1725 } |
|
45024
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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|
1726 #ifdef Py_NAN |
|
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1727 if (Py_IS_NAN(self)) { |
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1728 PyErr_SetString(PyExc_ValueError, |
|
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1729 "Cannot pass NaN to float.as_integer_ratio."); |
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1730 return NULL; |
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1731 } |
|
45024
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
44940
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|
1732 #endif |
|
f062dda54894
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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|
1733 |
|
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|
1734 PyFPE_START_PROTECT("as_integer_ratio", goto error); |
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|
1735 float_part = frexp(self, &exponent); /* self == float_part * 2**exponent exactly */ |
|
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|
1736 PyFPE_END_PROTECT(float_part); |
|
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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|
1737 |
|
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1738 for (i=0; i<300 && float_part != floor(float_part) ; i++) { |
|
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1739 float_part *= 2.0; |
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1740 exponent--; |
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1741 } |
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1742 /* self == float_part * 2**exponent exactly and float_part is integral. |
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1743 If FLT_RADIX != 2, the 300 steps may leave a tiny fractional part |
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1744 to be truncated by PyLong_FromDouble(). */ |
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1745 |
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1746 numerator = PyLong_FromDouble(float_part); |
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|
1747 if (numerator == NULL) goto error; |
|
45024
f062dda54894
Moved Rational._binary_float_to_ratio() to float.as_integer_ratio() because
Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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|
1748 |
|
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|
1749 /* fold in 2**exponent */ |
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|
1750 denominator = PyLong_FromLong(1); |
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|
1751 py_exponent = PyLong_FromLong(labs((long)exponent)); |
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1752 if (py_exponent == NULL) goto error; |
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|
1753 INPLACE_UPDATE(py_exponent, |
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1754 long_methods->nb_lshift(denominator, py_exponent)); |
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1755 if (py_exponent == NULL) goto error; |
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1756 if (exponent > 0) { |
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|
1757 INPLACE_UPDATE(numerator, |
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1758 long_methods->nb_multiply(numerator, py_exponent)); |
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1759 if (numerator == NULL) goto error; |
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1760 } |
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1761 else { |
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1762 Py_DECREF(denominator); |
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1763 denominator = py_exponent; |
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1764 py_exponent = NULL; |
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1765 } |
|
45024
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
44940
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1766 |
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|
1767 /* Returns ints instead of longs where possible */ |
|
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|
1768 INPLACE_UPDATE(numerator, PyNumber_Int(numerator)); |
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1769 if (numerator == NULL) goto error; |
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1770 INPLACE_UPDATE(denominator, PyNumber_Int(denominator)); |
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1771 if (denominator == NULL) goto error; |
|
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Raymond Hettinger <python@rcn.com>
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1772 |
|
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|
1773 result_pair = PyTuple_Pack(2, numerator, denominator); |
|
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1774 |
|
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|
1775 #undef INPLACE_UPDATE |
|
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|
1776 error: |
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1777 Py_XDECREF(py_exponent); |
|
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1778 Py_XDECREF(denominator); |
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1779 Py_XDECREF(numerator); |
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1780 return result_pair; |
|
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1781 } |
|
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1782 |
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1783 PyDoc_STRVAR(float_as_integer_ratio_doc, |
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1784 "float.as_integer_ratio() -> (int, int)\n" |
|
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1785 "\n" |
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1786 "Returns a pair of integers, whose ratio is exactly equal to the original\n" |
|
beea73ca2b88
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Raymond Hettinger <python@rcn.com>
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1787 "float and with a positive denominator.\n" |
|
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1788 "Raises OverflowError on infinities and a ValueError on NaNs.\n" |
|
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1789 "\n" |
|
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1790 ">>> (10.0).as_integer_ratio()\n" |
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1791 "(10, 1)\n" |
|
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1792 ">>> (0.0).as_integer_ratio()\n" |
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1793 "(0, 1)\n" |
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1794 ">>> (-.25).as_integer_ratio()\n" |
|
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1795 "(-1, 4)"); |
|
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1796 |
|
1049
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1797 |
|
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1798 static PyObject * |
|
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1799 float_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds); |
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1800 |
|
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1801 static PyObject * |
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1802 float_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
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1803 { |
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1804 PyObject *x = Py_False; /* Integer zero */ |
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1805 static char *kwlist[] = {"x", 0}; |
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1806 |
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1807 if (type != &PyFloat_Type) |
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1808 return float_subtype_new(type, args, kwds); /* Wimp out */ |
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1809 if (!PyArg_ParseTupleAndKeywords(args, kwds, "|O:float", kwlist, &x)) |
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1810 return NULL; |
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1811 /* If it's a string, but not a string subclass, use |
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1812 PyFloat_FromString. */ |
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1813 if (PyString_CheckExact(x)) |
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1814 return PyFloat_FromString(x, NULL); |
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1815 return PyNumber_Float(x); |
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1816 } |
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1817 |
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1818 /* Wimpy, slow approach to tp_new calls for subtypes of float: |
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1819 first create a regular float from whatever arguments we got, |
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1820 then allocate a subtype instance and initialize its ob_fval |
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1821 from the regular float. The regular float is then thrown away. |
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1822 */ |
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1823 static PyObject * |
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1824 float_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
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1825 { |
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1826 PyObject *tmp, *newobj; |
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1827 |
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1828 assert(PyType_IsSubtype(type, &PyFloat_Type)); |
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1829 tmp = float_new(&PyFloat_Type, args, kwds); |
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1830 if (tmp == NULL) |
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1831 return NULL; |
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1832 assert(PyFloat_CheckExact(tmp)); |
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1833 newobj = type->tp_alloc(type, 0); |
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1834 if (newobj == NULL) { |
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1835 Py_DECREF(tmp); |
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1836 return NULL; |
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1837 } |
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1838 ((PyFloatObject *)newobj)->ob_fval = ((PyFloatObject *)tmp)->ob_fval; |
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1839 Py_DECREF(tmp); |
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1840 return newobj; |
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1841 } |
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1842 |
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1843 static PyObject * |
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1844 float_getnewargs(PyFloatObject *v) |
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1845 { |
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1846 return Py_BuildValue("(d)", v->ob_fval); |
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1847 } |
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1848 |
| 34972 | 1849 /* this is for the benefit of the pack/unpack routines below */ |
| 1850 | |
| 1851 typedef enum { | |
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1852 unknown_format, ieee_big_endian_format, ieee_little_endian_format |
| 34972 | 1853 } float_format_type; |
| 1854 | |
| 1855 static float_format_type double_format, float_format; | |
| 1856 static float_format_type detected_double_format, detected_float_format; | |
| 1857 | |
| 1858 static PyObject * | |
| 1859 float_getformat(PyTypeObject *v, PyObject* arg) | |
| 1860 { | |
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1861 char* s; |
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1862 float_format_type r; |
| 34972 | 1863 |
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1864 if (!PyString_Check(arg)) { |
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1865 PyErr_Format(PyExc_TypeError, |
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1866 "__getformat__() argument must be string, not %.500s", |
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1867 Py_TYPE(arg)->tp_name); |
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1868 return NULL; |
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1869 } |
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1870 s = PyString_AS_STRING(arg); |
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1871 if (strcmp(s, "double") == 0) { |
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1872 r = double_format; |
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1873 } |
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1874 else if (strcmp(s, "float") == 0) { |
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1875 r = float_format; |
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1876 } |
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1877 else { |
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1878 PyErr_SetString(PyExc_ValueError, |
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1879 "__getformat__() argument 1 must be " |
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1880 "'double' or 'float'"); |
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1881 return NULL; |
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1882 } |
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1883 |
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1884 switch (r) { |
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1885 case unknown_format: |
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1886 return PyString_FromString("unknown"); |
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1887 case ieee_little_endian_format: |
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1888 return PyString_FromString("IEEE, little-endian"); |
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1889 case ieee_big_endian_format: |
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1890 return PyString_FromString("IEEE, big-endian"); |
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1891 default: |
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1892 Py_FatalError("insane float_format or double_format"); |
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1893 return NULL; |
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1894 } |
| 34972 | 1895 } |
| 1896 | |
| 1897 PyDoc_STRVAR(float_getformat_doc, | |
| 1898 "float.__getformat__(typestr) -> string\n" | |
| 1899 "\n" | |
| 1900 "You probably don't want to use this function. It exists mainly to be\n" | |
| 1901 "used in Python's test suite.\n" | |
| 1902 "\n" | |
| 1903 "typestr must be 'double' or 'float'. This function returns whichever of\n" | |
| 1904 "'unknown', 'IEEE, big-endian' or 'IEEE, little-endian' best describes the\n" | |
| 1905 "format of floating point numbers used by the C type named by typestr."); | |
| 1906 | |
| 1907 static PyObject * | |
| 1908 float_setformat(PyTypeObject *v, PyObject* args) | |
| 1909 { | |
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1910 char* typestr; |
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1911 char* format; |
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1912 float_format_type f; |
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1913 float_format_type detected; |
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1914 float_format_type *p; |
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1915 |
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1916 if (!PyArg_ParseTuple(args, "ss:__setformat__", &typestr, &format)) |
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1917 return NULL; |
| 34972 | 1918 |
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1919 if (strcmp(typestr, "double") == 0) { |
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1920 p = &double_format; |
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1921 detected = detected_double_format; |
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1922 } |
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1923 else if (strcmp(typestr, "float") == 0) { |
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1924 p = &float_format; |
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1925 detected = detected_float_format; |
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1926 } |
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1927 else { |
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1928 PyErr_SetString(PyExc_ValueError, |
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1929 "__setformat__() argument 1 must " |
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1930 "be 'double' or 'float'"); |
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1931 return NULL; |
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1932 } |
| 34972 | 1933 |
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1934 if (strcmp(format, "unknown") == 0) { |
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1935 f = unknown_format; |
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1936 } |
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1937 else if (strcmp(format, "IEEE, little-endian") == 0) { |
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1938 f = ieee_little_endian_format; |
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1939 } |
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1940 else if (strcmp(format, "IEEE, big-endian") == 0) { |
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1941 f = ieee_big_endian_format; |
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1942 } |
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1943 else { |
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1944 PyErr_SetString(PyExc_ValueError, |
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1945 "__setformat__() argument 2 must be " |
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1946 "'unknown', 'IEEE, little-endian' or " |
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1947 "'IEEE, big-endian'"); |
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1948 return NULL; |
| 34972 | 1949 |
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1950 } |
| 34972 | 1951 |
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1952 if (f != unknown_format && f != detected) { |
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1953 PyErr_Format(PyExc_ValueError, |
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1954 "can only set %s format to 'unknown' or the " |
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1955 "detected platform value", typestr); |
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1956 return NULL; |
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1957 } |
| 34972 | 1958 |
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1959 *p = f; |
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1960 Py_RETURN_NONE; |
| 34972 | 1961 } |
| 1962 | |
| 1963 PyDoc_STRVAR(float_setformat_doc, | |
| 1964 "float.__setformat__(typestr, fmt) -> None\n" | |
| 1965 "\n" | |
| 1966 "You probably don't want to use this function. It exists mainly to be\n" | |
| 1967 "used in Python's test suite.\n" | |
| 1968 "\n" | |
| 1969 "typestr must be 'double' or 'float'. fmt must be one of 'unknown',\n" | |
| 1970 "'IEEE, big-endian' or 'IEEE, little-endian', and in addition can only be\n" | |
| 1971 "one of the latter two if it appears to match the underlying C reality.\n" | |
| 1972 "\n" | |
| 1973 "Overrides the automatic determination of C-level floating point type.\n" | |
| 1974 "This affects how floats are converted to and from binary strings."); | |
| 1975 | |
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1976 static PyObject * |
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1977 float_getzero(PyObject *v, void *closure) |
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1978 { |
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1979 return PyFloat_FromDouble(0.0); |
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1980 } |
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1981 |
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1982 static PyObject * |
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1983 float__format__(PyObject *self, PyObject *args) |
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1984 { |
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1985 PyObject *format_spec; |
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1986 |
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1987 if (!PyArg_ParseTuple(args, "O:__format__", &format_spec)) |
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1988 return NULL; |
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1989 if (PyBytes_Check(format_spec)) |
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1990 return _PyFloat_FormatAdvanced(self, |
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1991 PyBytes_AS_STRING(format_spec), |
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1992 PyBytes_GET_SIZE(format_spec)); |
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1993 if (PyUnicode_Check(format_spec)) { |
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1994 /* Convert format_spec to a str */ |
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1995 PyObject *result; |
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1996 PyObject *str_spec = PyObject_Str(format_spec); |
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1997 |
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1998 if (str_spec == NULL) |
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1999 return NULL; |
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2000 |
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2001 result = _PyFloat_FormatAdvanced(self, |
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2002 PyBytes_AS_STRING(str_spec), |
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2003 PyBytes_GET_SIZE(str_spec)); |
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2004 |
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2005 Py_DECREF(str_spec); |
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2006 return result; |
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2007 } |
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2008 PyErr_SetString(PyExc_TypeError, "__format__ requires str or unicode"); |
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2009 return NULL; |
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2010 } |
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2011 |
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2012 PyDoc_STRVAR(float__format__doc, |
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2013 "float.__format__(format_spec) -> string\n" |
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2014 "\n" |
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2015 "Formats the float according to format_spec."); |
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2016 |
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2017 |
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2018 static PyMethodDef float_methods[] = { |
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2019 {"conjugate", (PyCFunction)float_float, METH_NOARGS, |
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2020 "Returns self, the complex conjugate of any float."}, |
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2021 {"__trunc__", (PyCFunction)float_trunc, METH_NOARGS, |
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2022 "Returns the Integral closest to x between 0 and x."}, |
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2023 {"as_integer_ratio", (PyCFunction)float_as_integer_ratio, METH_NOARGS, |
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2024 float_as_integer_ratio_doc}, |
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2025 {"fromhex", (PyCFunction)float_fromhex, |
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2026 METH_O|METH_CLASS, float_fromhex_doc}, |
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2027 {"hex", (PyCFunction)float_hex, |
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2028 METH_NOARGS, float_hex_doc}, |
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2029 {"is_integer", (PyCFunction)float_is_integer, METH_NOARGS, |
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2030 "Returns True if the float is an integer."}, |
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2031 #if 0 |
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2032 {"is_inf", (PyCFunction)float_is_inf, METH_NOARGS, |
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2033 "Returns True if the float is positive or negative infinite."}, |
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2034 {"is_finite", (PyCFunction)float_is_finite, METH_NOARGS, |
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2035 "Returns True if the float is finite, neither infinite nor NaN."}, |
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2036 {"is_nan", (PyCFunction)float_is_nan, METH_NOARGS, |
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2037 "Returns True if the float is not a number (NaN)."}, |
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2038 #endif |
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2039 {"__getnewargs__", (PyCFunction)float_getnewargs, METH_NOARGS}, |
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2040 {"__getformat__", (PyCFunction)float_getformat, |
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2041 METH_O|METH_CLASS, float_getformat_doc}, |
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2042 {"__setformat__", (PyCFunction)float_setformat, |
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2043 METH_VARARGS|METH_CLASS, float_setformat_doc}, |
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2044 {"__format__", (PyCFunction)float__format__, |
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2045 METH_VARARGS, float__format__doc}, |
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2046 {NULL, NULL} /* sentinel */ |
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2047 }; |
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2048 |
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2049 static PyGetSetDef float_getset[] = { |
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2050 {"real", |
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2051 (getter)float_float, (setter)NULL, |
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2052 "the real part of a complex number", |
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2053 NULL}, |
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2054 {"imag", |
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2055 (getter)float_getzero, (setter)NULL, |
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2056 "the imaginary part of a complex number", |
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2057 NULL}, |
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2058 {NULL} /* Sentinel */ |
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2059 }; |
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2060 |
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2061 PyDoc_STRVAR(float_doc, |
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2062 "float(x) -> floating point number\n\ |
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2063 \n\ |
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2064 Convert a string or number to a floating point number, if possible."); |
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2065 |
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2066 |
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2067 static PyNumberMethods float_as_number = { |
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2068 float_add, /*nb_add*/ |
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2069 float_sub, /*nb_subtract*/ |
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2070 float_mul, /*nb_multiply*/ |
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2071 float_classic_div, /*nb_divide*/ |
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2072 float_rem, /*nb_remainder*/ |
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2073 float_divmod, /*nb_divmod*/ |
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2074 float_pow, /*nb_power*/ |
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2075 (unaryfunc)float_neg, /*nb_negative*/ |
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2076 (unaryfunc)float_float, /*nb_positive*/ |
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2077 (unaryfunc)float_abs, /*nb_absolute*/ |
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2078 (inquiry)float_nonzero, /*nb_nonzero*/ |
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2079 0, /*nb_invert*/ |
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2080 0, /*nb_lshift*/ |
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2081 0, /*nb_rshift*/ |
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2082 0, /*nb_and*/ |
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2083 0, /*nb_xor*/ |
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2084 0, /*nb_or*/ |
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2085 float_coerce, /*nb_coerce*/ |
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2086 float_trunc, /*nb_int*/ |
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2087 float_long, /*nb_long*/ |
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2088 float_float, /*nb_float*/ |
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2089 0, /* nb_oct */ |
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2090 0, /* nb_hex */ |
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2091 0, /* nb_inplace_add */ |
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2092 0, /* nb_inplace_subtract */ |
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2093 0, /* nb_inplace_multiply */ |
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2094 0, /* nb_inplace_divide */ |
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2095 0, /* nb_inplace_remainder */ |
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2096 0, /* nb_inplace_power */ |
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2097 0, /* nb_inplace_lshift */ |
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2098 0, /* nb_inplace_rshift */ |
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2099 0, /* nb_inplace_and */ |
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2100 0, /* nb_inplace_xor */ |
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2101 0, /* nb_inplace_or */ |
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2102 float_floor_div, /* nb_floor_divide */ |
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2103 float_div, /* nb_true_divide */ |
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2104 0, /* nb_inplace_floor_divide */ |
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2105 0, /* nb_inplace_true_divide */ |
| 6 | 2106 }; |
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2108 PyTypeObject PyFloat_Type = { |
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2109 PyVarObject_HEAD_INIT(&PyType_Type, 0) |
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2110 "float", |
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2111 sizeof(PyFloatObject), |
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2112 0, |
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2113 (destructor)float_dealloc, /* tp_dealloc */ |
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2114 (printfunc)float_print, /* tp_print */ |
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2115 0, /* tp_getattr */ |
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2116 0, /* tp_setattr */ |
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2117 0, /* tp_compare */ |
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2118 (reprfunc)float_repr, /* tp_repr */ |
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2119 &float_as_number, /* tp_as_number */ |
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2120 0, /* tp_as_sequence */ |
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2121 0, /* tp_as_mapping */ |
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2122 (hashfunc)float_hash, /* tp_hash */ |
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2123 0, /* tp_call */ |
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2124 (reprfunc)float_str, /* tp_str */ |
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2125 PyObject_GenericGetAttr, /* tp_getattro */ |
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2126 0, /* tp_setattro */ |
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2127 0, /* tp_as_buffer */ |
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2128 Py_TPFLAGS_DEFAULT | Py_TPFLAGS_CHECKTYPES | |
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2129 Py_TPFLAGS_BASETYPE, /* tp_flags */ |
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2130 float_doc, /* tp_doc */ |
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2131 0, /* tp_traverse */ |
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2132 0, /* tp_clear */ |
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2133 float_richcompare, /* tp_richcompare */ |
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2134 0, /* tp_weaklistoffset */ |
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2135 0, /* tp_iter */ |
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2136 0, /* tp_iternext */ |
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2137 float_methods, /* tp_methods */ |
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2138 0, /* tp_members */ |
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2139 float_getset, /* tp_getset */ |
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2140 0, /* tp_base */ |
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2141 0, /* tp_dict */ |
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2142 0, /* tp_descr_get */ |
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2143 0, /* tp_descr_set */ |
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2144 0, /* tp_dictoffset */ |
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2145 0, /* tp_init */ |
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2146 0, /* tp_alloc */ |
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2147 float_new, /* tp_new */ |
| 6 | 2148 }; |
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2149 |
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2150 void |
| 34972 | 2151 _PyFloat_Init(void) |
| 2152 { | |
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2153 /* We attempt to determine if this machine is using IEEE |
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2154 floating point formats by peering at the bits of some |
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2155 carefully chosen values. If it looks like we are on an |
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2156 IEEE platform, the float packing/unpacking routines can |
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2157 just copy bits, if not they resort to arithmetic & shifts |
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2158 and masks. The shifts & masks approach works on all finite |
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2159 values, but what happens to infinities, NaNs and signed |
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2160 zeroes on packing is an accident, and attempting to unpack |
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2161 a NaN or an infinity will raise an exception. |
| 34972 | 2162 |
|
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2163 Note that if we're on some whacked-out platform which uses |
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2164 IEEE formats but isn't strictly little-endian or big- |
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2165 endian, we will fall back to the portable shifts & masks |
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2166 method. */ |
| 34972 | 2167 |
| 2168 #if SIZEOF_DOUBLE == 8 | |
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2169 { |
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2170 double x = 9006104071832581.0; |
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2171 if (memcmp(&x, "\x43\x3f\xff\x01\x02\x03\x04\x05", 8) == 0) |
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2172 detected_double_format = ieee_big_endian_format; |
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2173 else if (memcmp(&x, "\x05\x04\x03\x02\x01\xff\x3f\x43", 8) == 0) |
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2174 detected_double_format = ieee_little_endian_format; |
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2175 else |
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2176 detected_double_format = unknown_format; |
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2177 } |
| 34972 | 2178 #else |
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2179 detected_double_format = unknown_format; |
| 34972 | 2180 #endif |
| 2181 | |
| 2182 #if SIZEOF_FLOAT == 4 | |
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2183 { |
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2184 float y = 16711938.0; |
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2185 if (memcmp(&y, "\x4b\x7f\x01\x02", 4) == 0) |
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2186 detected_float_format = ieee_big_endian_format; |
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2187 else if (memcmp(&y, "\x02\x01\x7f\x4b", 4) == 0) |
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2188 detected_float_format = ieee_little_endian_format; |
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2189 else |
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2190 detected_float_format = unknown_format; |
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2191 } |
| 34972 | 2192 #else |
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2193 detected_float_format = unknown_format; |
| 34972 | 2194 #endif |
| 2195 | |
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2196 double_format = detected_double_format; |
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2197 float_format = detected_float_format; |
|
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The new float repr causes too much trouble and pain. I'm disabling the feature until we have sorted out the issues on all machines. 64bit machines seem to have issues and Guido has reported even worse.
Christian Heimes <christian@cheimes.de>
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2198 |
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2199 /* Init float info */ |
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2200 if (FloatInfoType.tp_name == 0) |
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2201 PyStructSequence_InitType(&FloatInfoType, &floatinfo_desc); |
| 34972 | 2202 } |
| 2203 | |
|
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2204 int |
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2205 PyFloat_ClearFreeList(void) |
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2206 { |
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2207 PyFloatObject *p; |
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2208 PyFloatBlock *list, *next; |
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2209 int i; |
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2210 int u; /* remaining unfreed ints per block */ |
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2211 int freelist_size = 0; |
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2212 |
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2213 list = block_list; |
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2214 block_list = NULL; |
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2215 free_list = NULL; |
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2216 while (list != NULL) { |
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2217 u = 0; |
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2218 for (i = 0, p = &list->objects[0]; |
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2219 i < N_FLOATOBJECTS; |
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2220 i++, p++) { |
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2221 if (PyFloat_CheckExact(p) && Py_REFCNT(p) != 0) |
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2222 u++; |
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2223 } |
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2224 next = list->next; |
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2225 if (u) { |
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2226 list->next = block_list; |
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2227 block_list = list; |
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2228 for (i = 0, p = &list->objects[0]; |
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2229 i < N_FLOATOBJECTS; |
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2230 i++, p++) { |
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2231 if (!PyFloat_CheckExact(p) || |
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2232 Py_REFCNT(p) == 0) { |
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2233 Py_TYPE(p) = (struct _typeobject *) |
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2234 free_list; |
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2235 free_list = p; |
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2236 } |
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2237 } |
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2238 } |
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2239 else { |
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2240 PyMem_FREE(list); |
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|
2241 } |
|
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|
2242 freelist_size += u; |
|
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|
2243 list = next; |
|
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|
2244 } |
|
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|
2245 return freelist_size; |
| 45143 | 2246 } |
| 2247 | |
| 2248 void | |
| 2249 PyFloat_Fini(void) | |
| 2250 { | |
|
61465
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|
2251 PyFloatObject *p; |
|
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|
2252 PyFloatBlock *list; |
|
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|
2253 int i; |
|
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|
2254 int u; /* total unfreed floats per block */ |
| 45143 | 2255 |
|
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|
2256 u = PyFloat_ClearFreeList(); |
| 45143 | 2257 |
|
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|
2258 if (!Py_VerboseFlag) |
|
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|
2259 return; |
|
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|
2260 fprintf(stderr, "# cleanup floats"); |
|
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|
2261 if (!u) { |
|
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|
2262 fprintf(stderr, "\n"); |
|
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|
2263 } |
|
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|
2264 else { |
|
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|
2265 fprintf(stderr, |
|
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|
2266 ": %d unfreed float%s\n", |
|
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|
2267 u, u == 1 ? "" : "s"); |
|
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|
2268 } |
|
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|
2269 if (Py_VerboseFlag > 1) { |
|
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|
2270 list = block_list; |
|
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|
2271 while (list != NULL) { |
|
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|
2272 for (i = 0, p = &list->objects[0]; |
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|
2273 i < N_FLOATOBJECTS; |
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|
2274 i++, p++) { |
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2275 if (PyFloat_CheckExact(p) && |
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2276 Py_REFCNT(p) != 0) { |
|
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2277 char *buf = PyOS_double_to_string( |
|
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2278 PyFloat_AS_DOUBLE(p), 'r', |
|
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2279 0, 0, NULL); |
|
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2280 if (buf) { |
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|
2281 /* XXX(twouters) cast |
|
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2282 refcount to long |
|
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|
2283 until %zd is |
|
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|
2284 universally |
|
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|
2285 available |
|
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2286 */ |
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2287 fprintf(stderr, |
|
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2288 "# <float at %p, refcnt=%ld, val=%s>\n", |
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2289 p, (long)Py_REFCNT(p), buf); |
|
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2290 PyMem_Free(buf); |
|
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2291 } |
|
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2292 } |
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2293 } |
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2294 list = list->next; |
|
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2295 } |
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2296 } |
|
5936
80d24364b932
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Guido van Rossum <guido@python.org>
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diff
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2297 } |
|
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|
2298 |
|
70003b0cb837
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|
2299 /*---------------------------------------------------------------------------- |
|
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|
2300 * _PyFloat_{Pack,Unpack}{4,8}. See floatobject.h. |
|
70003b0cb837
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parents:
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diff
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|
2301 */ |
|
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parents:
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|
2302 int |
|
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parents:
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diff
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|
2303 _PyFloat_Pack4(double x, unsigned char *p, int le) |
|
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|
2304 { |
|
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2305 if (float_format == unknown_format) { |
|
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|
2306 unsigned char sign; |
|
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2307 int e; |
|
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|
2308 double f; |
|
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|
2309 unsigned int fbits; |
|
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|
2310 int incr = 1; |
| 34972 | 2311 |
|
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|
2312 if (le) { |
|
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|
2313 p += 3; |
|
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|
2314 incr = -1; |
|
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|
2315 } |
|
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|
2316 |
|
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|
2317 if (x < 0) { |
|
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|
2318 sign = 1; |
|
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|
2319 x = -x; |
|
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|
2320 } |
|
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|
2321 else |
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|
2322 sign = 0; |
| 34972 | 2323 |
|
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|
2324 f = frexp(x, &e); |
| 34972 | 2325 |
|
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|
2326 /* Normalize f to be in the range [1.0, 2.0) */ |
|
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|
2327 if (0.5 <= f && f < 1.0) { |
|
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|
2328 f *= 2.0; |
|
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|
2329 e--; |
|
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|
2330 } |
|
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|
2331 else if (f == 0.0) |
|
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|
2332 e = 0; |
|
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|
2333 else { |
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|
2334 PyErr_SetString(PyExc_SystemError, |
|
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|
2335 "frexp() result out of range"); |
|
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|
2336 return -1; |
|
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|
2337 } |
|
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|
2338 |
|
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|
2339 if (e >= 128) |
|
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|
2340 goto Overflow; |
|
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|
2341 else if (e < -126) { |
|
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|
2342 /* Gradual underflow */ |
|
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|
2343 f = ldexp(f, 126 + e); |
|
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|
2344 e = 0; |
|
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|
2345 } |
|
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|
2346 else if (!(e == 0 && f == 0.0)) { |
|
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|
2347 e += 127; |
|
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|
2348 f -= 1.0; /* Get rid of leading 1 */ |
|
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|
2349 } |
|
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changeset
|
2350 |
|
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|
2351 f *= 8388608.0; /* 2**23 */ |
|
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|
2352 fbits = (unsigned int)(f + 0.5); /* Round */ |
|
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|
2353 assert(fbits <= 8388608); |
|
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|
2354 if (fbits >> 23) { |
|
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changeset
|
2355 /* The carry propagated out of a string of 23 1 bits. */ |
|
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|
2356 fbits = 0; |
|
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|
2357 ++e; |
|
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|
2358 if (e >= 255) |
|
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|
2359 goto Overflow; |
|
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Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2360 } |
| 34972 | 2361 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2362 /* First byte */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2363 *p = (sign << 7) | (e >> 1); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
54002
diff
changeset
|
2364 p += incr; |
| 34972 | 2365 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2366 /* Second byte */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2367 *p = (char) (((e & 1) << 7) | (fbits >> 16)); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2368 p += incr; |
| 34972 | 2369 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2370 /* Third byte */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2371 *p = (fbits >> 8) & 0xFF; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2372 p += incr; |
| 34972 | 2373 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2374 /* Fourth byte */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2375 *p = fbits & 0xFF; |
| 34972 | 2376 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2377 /* Done */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2378 return 0; |
| 34972 | 2379 |
|
61465
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2380 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2381 else { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2382 float y = (float)x; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2383 const char *s = (char*)&y; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2384 int i, incr = 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
|
2385 |
|
61465
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2386 if (Py_IS_INFINITY(y) && !Py_IS_INFINITY(x)) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2387 goto Overflow; |
|
45759
354e377c9590
Issue 705836: Fix struct.pack(">f", 1e40) to behave consistently
Mark Dickinson <dickinsm@gmail.com>
parents:
45381
diff
changeset
|
2388 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2389 if ((float_format == ieee_little_endian_format && !le) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2390 || (float_format == ieee_big_endian_format && le)) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2391 p += 3; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2392 incr = -1; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2393 } |
|
45759
354e377c9590
Issue 705836: Fix struct.pack(">f", 1e40) to behave consistently
Mark Dickinson <dickinsm@gmail.com>
parents:
45381
diff
changeset
|
2394 |
|
61465
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2395 for (i = 0; i < 4; i++) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2396 *p = *s++; |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2397 p += incr; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2398 } |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2399 return 0; |
|
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Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2400 } |
|
45759
354e377c9590
Issue 705836: Fix struct.pack(">f", 1e40) to behave consistently
Mark Dickinson <dickinsm@gmail.com>
parents:
45381
diff
changeset
|
2401 Overflow: |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2402 PyErr_SetString(PyExc_OverflowError, |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2403 "float too large to pack with f format"); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2404 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
|
2405 } |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2406 |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2407 int |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2408 _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:
27521
diff
changeset
|
2409 { |
|
61465
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2410 if (double_format == unknown_format) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2411 unsigned char sign; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2412 int e; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2413 double f; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2414 unsigned int fhi, flo; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2415 int incr = 1; |
| 34972 | 2416 |
|
61465
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2417 if (le) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2418 p += 7; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2419 incr = -1; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2420 } |
| 34972 | 2421 |
|
61465
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2422 if (x < 0) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2423 sign = 1; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2424 x = -x; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2425 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2426 else |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2427 sign = 0; |
| 34972 | 2428 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2429 f = frexp(x, &e); |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2430 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2431 /* Normalize f to be in the range [1.0, 2.0) */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2432 if (0.5 <= f && f < 1.0) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2433 f *= 2.0; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2434 e--; |
|
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Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2435 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2436 else if (f == 0.0) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2437 e = 0; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2438 else { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2439 PyErr_SetString(PyExc_SystemError, |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2440 "frexp() result out of range"); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2441 return -1; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2442 } |
| 34972 | 2443 |
|
61465
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2444 if (e >= 1024) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2445 goto Overflow; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2446 else if (e < -1022) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2447 /* Gradual underflow */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2448 f = ldexp(f, 1022 + e); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2449 e = 0; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2450 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2451 else if (!(e == 0 && f == 0.0)) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2452 e += 1023; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2453 f -= 1.0; /* Get rid of leading 1 */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2454 } |
| 34972 | 2455 |
|
61465
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2456 /* fhi receives the high 28 bits; flo the low 24 bits (== 52 bits) */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2457 f *= 268435456.0; /* 2**28 */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2458 fhi = (unsigned int)f; /* Truncate */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2459 assert(fhi < 268435456); |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2460 |
|
61465
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Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2461 f -= (double)fhi; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2462 f *= 16777216.0; /* 2**24 */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2463 flo = (unsigned int)(f + 0.5); /* Round */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2464 assert(flo <= 16777216); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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changeset
|
2465 if (flo >> 24) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2466 /* The carry propagated out of a string of 24 1 bits. */ |
|
e38335d4df91
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parents:
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changeset
|
2467 flo = 0; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2468 ++fhi; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2469 if (fhi >> 28) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2470 /* And it also progagated out of the next 28 bits. */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2471 fhi = 0; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2472 ++e; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2473 if (e >= 2047) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2474 goto Overflow; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2475 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2476 } |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2477 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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changeset
|
2478 /* First byte */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2479 *p = (sign << 7) | (e >> 4); |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2480 p += incr; |
| 34972 | 2481 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2482 /* Second byte */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2483 *p = (unsigned char) (((e & 0xF) << 4) | (fhi >> 24)); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2484 p += incr; |
|
28335
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
|
2485 |
|
61465
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changeset
|
2486 /* Third byte */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2487 *p = (fhi >> 16) & 0xFF; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2488 p += incr; |
| 34972 | 2489 |
|
61465
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changeset
|
2490 /* Fourth byte */ |
|
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changeset
|
2491 *p = (fhi >> 8) & 0xFF; |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2492 p += incr; |
| 34972 | 2493 |
|
61465
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|
2494 /* Fifth byte */ |
|
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|
2495 *p = fhi & 0xFF; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2496 p += incr; |
| 34972 | 2497 |
|
61465
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|
2498 /* Sixth byte */ |
|
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|
2499 *p = (flo >> 16) & 0xFF; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2500 p += incr; |
| 34972 | 2501 |
|
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|
2502 /* Seventh byte */ |
|
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|
2503 *p = (flo >> 8) & 0xFF; |
|
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|
2504 p += incr; |
| 34972 | 2505 |
|
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|
2506 /* Eighth byte */ |
|
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|
2507 *p = flo & 0xFF; |
|
61463
fd25030223b0
Untabify C files. Will watch buildbots.
Antoine Pitrou <solipsis@pitrou.net>
parents:
61323
diff
changeset
|
2508 /* p += incr; Unneeded (for now) */ |
| 34972 | 2509 |
|
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|
2510 /* Done */ |
|
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|
2511 return 0; |
| 34972 | 2512 |
|
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|
2513 Overflow: |
|
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diff
changeset
|
2514 PyErr_SetString(PyExc_OverflowError, |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2515 "float too large to pack with d format"); |
|
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|
2516 return -1; |
|
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|
2517 } |
|
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|
2518 else { |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2519 const char *s = (char*)&x; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2520 int i, incr = 1; |
|
28335
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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|
2521 |
|
61465
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|
2522 if ((double_format == ieee_little_endian_format && !le) |
|
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|
2523 || (double_format == ieee_big_endian_format && le)) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2524 p += 7; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2525 incr = -1; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2526 } |
|
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|
2527 |
|
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|
2528 for (i = 0; i < 8; i++) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2529 *p = *s++; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2530 p += incr; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2531 } |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2532 return 0; |
|
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|
2533 } |
|
28335
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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|
2534 } |
|
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
|
2535 |
|
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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|
2536 double |
|
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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|
2537 _PyFloat_Unpack4(const 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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|
2538 { |
|
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|
2539 if (float_format == unknown_format) { |
|
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|
2540 unsigned char sign; |
|
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|
2541 int e; |
|
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|
2542 unsigned int f; |
|
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|
2543 double x; |
|
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|
2544 int incr = 1; |
| 34972 | 2545 |
|
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|
2546 if (le) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2547 p += 3; |
|
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|
2548 incr = -1; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2549 } |
| 34972 | 2550 |
|
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|
2551 /* First byte */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2552 sign = (*p >> 7) & 1; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2553 e = (*p & 0x7F) << 1; |
|
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|
2554 p += incr; |
|
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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|
2555 |
|
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|
2556 /* Second byte */ |
|
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|
2557 e |= (*p >> 7) & 1; |
|
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changeset
|
2558 f = (*p & 0x7F) << 16; |
|
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|
2559 p += incr; |
|
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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|
2560 |
|
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|
2561 if (e == 255) { |
|
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|
2562 PyErr_SetString( |
|
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|
2563 PyExc_ValueError, |
|
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|
2564 "can't unpack IEEE 754 special value " |
|
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|
2565 "on non-IEEE platform"); |
|
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|
2566 return -1; |
|
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|
2567 } |
|
28335
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Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
2568 |
|
61465
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|
2569 /* Third byte */ |
|
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|
2570 f |= *p << 8; |
|
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|
2571 p += incr; |
|
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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diff
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|
2572 |
|
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|
2573 /* Fourth byte */ |
|
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|
2574 f |= *p; |
| 34972 | 2575 |
|
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|
2576 x = (double)f / 8388608.0; |
|
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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|
2577 |
|
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|
2578 /* XXX This sadly ignores Inf/NaN issues */ |
|
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|
2579 if (e == 0) |
|
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|
2580 e = -126; |
|
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|
2581 else { |
|
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|
2582 x += 1.0; |
|
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|
2583 e -= 127; |
|
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|
2584 } |
|
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|
2585 x = ldexp(x, e); |
|
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parents:
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|
2586 |
|
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|
2587 if (sign) |
|
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|
2588 x = -x; |
|
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Tim Peters <tim.peters@gmail.com>
parents:
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|
2589 |
|
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|
2590 return x; |
|
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|
2591 } |
|
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|
2592 else { |
|
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|
2593 float x; |
| 35987 | 2594 |
|
61465
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|
2595 if ((float_format == ieee_little_endian_format && !le) |
|
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|
2596 || (float_format == ieee_big_endian_format && le)) { |
|
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|
2597 char buf[4]; |
|
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|
2598 char *d = &buf[3]; |
|
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|
2599 int i; |
|
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New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
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|
2600 |
|
61465
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|
2601 for (i = 0; i < 4; i++) { |
|
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|
2602 *d-- = *p++; |
|
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|
2603 } |
|
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|
2604 memcpy(&x, buf, 4); |
|
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|
2605 } |
|
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|
2606 else { |
|
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|
2607 memcpy(&x, p, 4); |
|
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|
2608 } |
| 35987 | 2609 |
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|
2610 return x; |
|
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|
2611 } |
|
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|
2612 } |
|
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|
2613 |
|
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|
2614 double |
|
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New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
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|
2615 _PyFloat_Unpack8(const unsigned char *p, int le) |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
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|
2616 { |
|
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2617 if (double_format == unknown_format) { |
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|
2618 unsigned char sign; |
|
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|
2619 int e; |
|
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|
2620 unsigned int fhi, flo; |
|
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|
2621 double x; |
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|
2622 int incr = 1; |
|
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|
2623 |
|
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|
2624 if (le) { |
|
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|
2625 p += 7; |
|
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|
2626 incr = -1; |
|
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2627 } |
| 34972 | 2628 |
|
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|
2629 /* First byte */ |
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|
2630 sign = (*p >> 7) & 1; |
|
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|
2631 e = (*p & 0x7F) << 4; |
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|
2632 |
|
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|
2633 p += incr; |
|
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|
2634 |
|
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|
2635 /* Second byte */ |
|
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|
2636 e |= (*p >> 4) & 0xF; |
|
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|
2637 fhi = (*p & 0xF) << 24; |
|
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|
2638 p += incr; |
|
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|
2639 |
|
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|
2640 if (e == 2047) { |
|
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|
2641 PyErr_SetString( |
|
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|
2642 PyExc_ValueError, |
|
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|
2643 "can't unpack IEEE 754 special value " |
|
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|
2644 "on non-IEEE platform"); |
|
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|
2645 return -1.0; |
|
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|
2646 } |
|
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|
2647 |
|
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|
2648 /* Third byte */ |
|
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|
2649 fhi |= *p << 16; |
|
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|
2650 p += incr; |
|
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|
2651 |
|
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|
2652 /* Fourth byte */ |
|
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|
2653 fhi |= *p << 8; |
|
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|
2654 p += incr; |
| 34972 | 2655 |
|
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|
2656 /* Fifth byte */ |
|
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|
2657 fhi |= *p; |
|
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|
2658 p += incr; |
|
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|
2659 |
|
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|
2660 /* Sixth byte */ |
|
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|
2661 flo = *p << 16; |
|
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|
2662 p += incr; |
| 34972 | 2663 |
|
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|
2664 /* Seventh byte */ |
|
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|
2665 flo |= *p << 8; |
|
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|
2666 p += incr; |
| 34972 | 2667 |
|
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|
2668 /* Eighth byte */ |
|
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|
2669 flo |= *p; |
|
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|
2670 |
|
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|
2671 x = (double)fhi + (double)flo / 16777216.0; /* 2**24 */ |
|
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|
2672 x /= 268435456.0; /* 2**28 */ |
|
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|
2673 |
|
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|
2674 if (e == 0) |
|
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|
2675 e = -1022; |
|
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|
2676 else { |
|
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|
2677 x += 1.0; |
|
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|
2678 e -= 1023; |
|
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|
2679 } |
|
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|
2680 x = ldexp(x, e); |
|
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|
2681 |
|
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|
2682 if (sign) |
|
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|
2683 x = -x; |
|
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|
2684 |
|
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|
2685 return x; |
|
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|
2686 } |
|
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|
2687 else { |
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|
2688 double x; |
| 35987 | 2689 |
|
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|
2690 if ((double_format == ieee_little_endian_format && !le) |
|
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|
2691 || (double_format == ieee_big_endian_format && le)) { |
|
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|
2692 char buf[8]; |
|
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|
2693 char *d = &buf[7]; |
|
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|
2694 int i; |
| 35987 | 2695 |
|
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|
2696 for (i = 0; i < 8; i++) { |
|
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|
2697 *d-- = *p++; |
|
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2698 } |
|
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|
2699 memcpy(&x, buf, 8); |
|
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|
2700 } |
|
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|
2701 else { |
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|
2702 memcpy(&x, p, 8); |
|
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2703 } |
|
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|
2704 |
|
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|
2705 return x; |
|
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|
2706 } |
|
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|
2707 } |
