Mercurial > cpython-lru_cache-weakref
annotate Objects/floatobject.c @ 68256:b36cb4602e21 2.7
Dummy-merge 2.6 branch into 2.7 branch.
| author | Georg Brandl <georg@python.org> |
|---|---|
| date | Sat, 05 Mar 2011 15:15:07 +0100 |
| parents | a8f3847619f4 e834c5d3a9a3 |
| children | e1ebec2446cd |
| 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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Backport PEP 3141 from the py3k branch to the trunk. This includes r50877 (just
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1027 float_trunc(PyObject *v) |
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1049
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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 >= and <= LONG_{MIN,MAX} would |
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1039 * still be vulnerable: if a long has more bits of precision than |
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1040 * a double, casting MIN/MAX to double may yield an approximation, |
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1041 * and if that's rounded up, then, e.g., wholepart=LONG_MAX+1 would |
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1042 * yield true from the C expression wholepart<=LONG_MAX, despite |
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1043 * that wholepart is actually greater than LONG_MAX. |
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1044 */ |
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1045 if (LONG_MIN < wholepart && wholepart < LONG_MAX) { |
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1046 const long aslong = (long)wholepart; |
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1047 return PyInt_FromLong(aslong); |
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1048 } |
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1049 return PyLong_FromDouble(wholepart); |
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1050 } |
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1051 |
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5396
d1447950fa04
Quickly renamed the last directory.
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1052 static PyObject * |
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#3777: long(4.2) returned an int, and broke backward compatibility.
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1053 float_long(PyObject *v) |
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1054 { |
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1055 double x = PyFloat_AsDouble(v); |
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1056 return PyLong_FromDouble(x); |
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1057 } |
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#3777: long(4.2) returned an int, and broke backward compatibility.
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1058 |
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1059 /* _Py_double_round: rounds a finite nonzero double to the closest multiple of |
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1060 10**-ndigits; here ndigits is within reasonable bounds (typically, -308 <= |
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1061 ndigits <= 323). Returns a Python float, or sets a Python error and |
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1062 returns NULL on failure (OverflowError and memory errors are possible). */ |
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1063 |
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1064 #ifndef PY_NO_SHORT_FLOAT_REPR |
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1065 /* version of _Py_double_round that uses the correctly-rounded string<->double |
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1066 conversions from Python/dtoa.c */ |
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1067 |
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1068 /* FIVE_POW_LIMIT is the largest k such that 5**k is exactly representable as |
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1069 a double. Since we're using the code in Python/dtoa.c, it should be safe |
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1070 to assume that C doubles are IEEE 754 binary64 format. To be on the safe |
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1071 side, we check this. */ |
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1072 #if DBL_MANT_DIG == 53 |
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1073 #define FIVE_POW_LIMIT 22 |
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1074 #else |
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1075 #error "C doubles do not appear to be IEEE 754 binary64 format" |
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1076 #endif |
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1077 |
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1078 PyObject * |
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1079 _Py_double_round(double x, int ndigits) { |
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1080 |
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1081 double rounded, m; |
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1082 Py_ssize_t buflen, mybuflen=100; |
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1083 char *buf, *buf_end, shortbuf[100], *mybuf=shortbuf; |
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1084 int decpt, sign, val, halfway_case; |
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1085 PyObject *result = NULL; |
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1086 |
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1087 /* The basic idea is very simple: convert and round the double to a |
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1088 decimal string using _Py_dg_dtoa, then convert that decimal string |
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1089 back to a double with _Py_dg_strtod. There's one minor difficulty: |
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1090 Python 2.x expects round to do round-half-away-from-zero, while |
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1091 _Py_dg_dtoa does round-half-to-even. So we need some way to detect |
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1092 and correct the halfway cases. |
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1093 |
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1094 Detection: a halfway value has the form k * 0.5 * 10**-ndigits for |
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1095 some odd integer k. Or in other words, a rational number x is |
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1096 exactly halfway between two multiples of 10**-ndigits if its |
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1097 2-valuation is exactly -ndigits-1 and its 5-valuation is at least |
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1098 -ndigits. For ndigits >= 0 the latter condition is automatically |
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1099 satisfied for a binary float x, since any such float has |
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1100 nonnegative 5-valuation. For 0 > ndigits >= -22, x needs to be an |
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1101 integral multiple of 5**-ndigits; we can check this using fmod. |
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1102 For -22 > ndigits, there are no halfway cases: 5**23 takes 54 bits |
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1103 to represent exactly, so any odd multiple of 0.5 * 10**n for n >= |
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1104 23 takes at least 54 bits of precision to represent exactly. |
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1105 |
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1106 Correction: a simple strategy for dealing with halfway cases is to |
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1107 (for the halfway cases only) call _Py_dg_dtoa with an argument of |
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1108 ndigits+1 instead of ndigits (thus doing an exact conversion to |
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1109 decimal), round the resulting string manually, and then convert |
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1110 back using _Py_dg_strtod. |
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1111 */ |
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1112 |
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1113 /* nans, infinities and zeros should have already been dealt |
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1114 with by the caller (in this case, builtin_round) */ |
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1115 assert(Py_IS_FINITE(x) && x != 0.0); |
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1117 /* find 2-valuation val of x */ |
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1118 m = frexp(x, &val); |
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1119 while (m != floor(m)) { |
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1120 m *= 2.0; |
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1121 val--; |
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1122 } |
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1123 |
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1124 /* determine whether this is a halfway case */ |
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1125 if (val == -ndigits-1) { |
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1126 if (ndigits >= 0) |
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1127 halfway_case = 1; |
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1128 else if (ndigits >= -FIVE_POW_LIMIT) { |
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1129 double five_pow = 1.0; |
|
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1130 int i; |
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1131 for (i=0; i < -ndigits; i++) |
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1132 five_pow *= 5.0; |
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1133 halfway_case = fmod(x, five_pow) == 0.0; |
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|
1134 } |
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1135 else |
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1136 halfway_case = 0; |
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1137 } |
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1138 else |
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|
1139 halfway_case = 0; |
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1140 |
|
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1141 /* round to a decimal string; use an extra place for halfway case */ |
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1142 buf = _Py_dg_dtoa(x, 3, ndigits+halfway_case, &decpt, &sign, &buf_end); |
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1143 if (buf == NULL) { |
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1144 PyErr_NoMemory(); |
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1145 return NULL; |
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1146 } |
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1147 buflen = buf_end - buf; |
|
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|
1148 |
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1149 /* in halfway case, do the round-half-away-from-zero manually */ |
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1150 if (halfway_case) { |
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1151 int i, carry; |
|
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1152 /* sanity check: _Py_dg_dtoa should not have stripped |
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1153 any zeros from the result: there should be exactly |
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1154 ndigits+1 places following the decimal point, and |
|
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1155 the last digit in the buffer should be a '5'.*/ |
|
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1156 assert(buflen - decpt == ndigits+1); |
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1157 assert(buf[buflen-1] == '5'); |
|
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1158 |
|
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1159 /* increment and shift right at the same time. */ |
|
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1160 decpt += 1; |
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1161 carry = 1; |
|
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1162 for (i=buflen-1; i-- > 0;) { |
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1163 carry += buf[i] - '0'; |
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1164 buf[i+1] = carry % 10 + '0'; |
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1165 carry /= 10; |
|
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1166 } |
|
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1167 buf[0] = carry + '0'; |
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1168 } |
|
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1169 |
|
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1170 /* Get new buffer if shortbuf is too small. Space needed <= buf_end - |
|
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1171 buf + 8: (1 extra for '0', 1 for sign, 5 for exp, 1 for '\0'). */ |
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1172 if (buflen + 8 > mybuflen) { |
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1173 mybuflen = buflen+8; |
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1174 mybuf = (char *)PyMem_Malloc(mybuflen); |
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1175 if (mybuf == NULL) { |
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1176 PyErr_NoMemory(); |
|
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1177 goto exit; |
|
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1178 } |
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1179 } |
|
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1180 /* copy buf to mybuf, adding exponent, sign and leading 0 */ |
|
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1181 PyOS_snprintf(mybuf, mybuflen, "%s0%se%d", (sign ? "-" : ""), |
|
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1182 buf, decpt - (int)buflen); |
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1183 |
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1184 /* and convert the resulting string back to a double */ |
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1185 errno = 0; |
|
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1186 rounded = _Py_dg_strtod(mybuf, NULL); |
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1187 if (errno == ERANGE && fabs(rounded) >= 1.) |
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|
1188 PyErr_SetString(PyExc_OverflowError, |
|
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1189 "rounded value too large to represent"); |
|
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1190 else |
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1191 result = PyFloat_FromDouble(rounded); |
|
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1192 |
|
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1193 /* done computing value; now clean up */ |
|
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1194 if (mybuf != shortbuf) |
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1195 PyMem_Free(mybuf); |
|
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|
1196 exit: |
|
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1197 _Py_dg_freedtoa(buf); |
|
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1198 return result; |
|
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|
1199 } |
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|
1200 |
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|
1201 #undef FIVE_POW_LIMIT |
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|
1202 |
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1203 #else /* PY_NO_SHORT_FLOAT_REPR */ |
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|
1204 |
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|
1205 /* fallback version, to be used when correctly rounded binary<->decimal |
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|
1206 conversions aren't available */ |
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1207 |
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|
1208 PyObject * |
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1209 _Py_double_round(double x, int ndigits) { |
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|
1210 double pow1, pow2, y, z; |
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1211 if (ndigits >= 0) { |
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1212 if (ndigits > 22) { |
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1213 /* pow1 and pow2 are each safe from overflow, but |
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1214 pow1*pow2 ~= pow(10.0, ndigits) might overflow */ |
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1215 pow1 = pow(10.0, (double)(ndigits-22)); |
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1216 pow2 = 1e22; |
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1217 } |
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1218 else { |
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1219 pow1 = pow(10.0, (double)ndigits); |
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1220 pow2 = 1.0; |
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1221 } |
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1222 y = (x*pow1)*pow2; |
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1223 /* if y overflows, then rounded value is exactly x */ |
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1224 if (!Py_IS_FINITE(y)) |
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1225 return PyFloat_FromDouble(x); |
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1226 } |
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1227 else { |
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1228 pow1 = pow(10.0, (double)-ndigits); |
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|
1229 pow2 = 1.0; /* unused; silences a gcc compiler warning */ |
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|
1230 y = x / pow1; |
|
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1231 } |
|
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|
1232 |
|
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|
1233 z = round(y); |
|
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1234 if (fabs(y-z) == 0.5) |
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|
1235 /* halfway between two integers; use round-away-from-zero */ |
|
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Antoine Pitrou <solipsis@pitrou.net>
parents:
61323
diff
changeset
|
1236 z = y + copysign(0.5, y); |
|
57324
92e06cdbeab9
Issue #7117, continued: Change round implementation to use the correctly-rounded
Mark Dickinson <dickinsm@gmail.com>
parents:
56766
diff
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|
1237 |
|
61463
fd25030223b0
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Antoine Pitrou <solipsis@pitrou.net>
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diff
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|
1238 if (ndigits >= 0) |
|
fd25030223b0
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Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
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|
1239 z = (z / pow2) / pow1; |
|
fd25030223b0
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Antoine Pitrou <solipsis@pitrou.net>
parents:
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|
1240 else |
|
fd25030223b0
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Antoine Pitrou <solipsis@pitrou.net>
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|
1241 z *= pow1; |
|
57324
92e06cdbeab9
Issue #7117, continued: Change round implementation to use the correctly-rounded
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
1242 |
|
61463
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Antoine Pitrou <solipsis@pitrou.net>
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|
1243 /* if computation resulted in overflow, raise OverflowError */ |
|
fd25030223b0
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Antoine Pitrou <solipsis@pitrou.net>
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diff
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|
1244 if (!Py_IS_FINITE(z)) { |
|
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Antoine Pitrou <solipsis@pitrou.net>
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|
1245 PyErr_SetString(PyExc_OverflowError, |
|
fd25030223b0
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Antoine Pitrou <solipsis@pitrou.net>
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|
1246 "overflow occurred during round"); |
|
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Antoine Pitrou <solipsis@pitrou.net>
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|
1247 return NULL; |
|
fd25030223b0
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Antoine Pitrou <solipsis@pitrou.net>
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|
1248 } |
|
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92e06cdbeab9
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Mark Dickinson <dickinsm@gmail.com>
parents:
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|
1249 |
|
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Antoine Pitrou <solipsis@pitrou.net>
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|
1250 return PyFloat_FromDouble(z); |
|
57324
92e06cdbeab9
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Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
1251 } |
|
92e06cdbeab9
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Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
1252 |
|
92e06cdbeab9
Issue #7117, continued: Change round implementation to use the correctly-rounded
Mark Dickinson <dickinsm@gmail.com>
parents:
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|
1253 #endif /* PY_NO_SHORT_FLOAT_REPR */ |
|
92e06cdbeab9
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Mark Dickinson <dickinsm@gmail.com>
parents:
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|
1254 |
|
49104
974040c8f369
#3777: long(4.2) returned an int, and broke backward compatibility.
Amaury Forgeot d'Arc <amauryfa@gmail.com>
parents:
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diff
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|
1255 static PyObject * |
|
13454
fcc75a3748f5
ANSI-fication of the sources.
Fred Drake <fdrake@acm.org>
parents:
13447
diff
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|
1256 float_float(PyObject *v) |
|
1049
2ed511171809
Made builtins int(), long(), float(), oct() and hex() more generic.
Guido van Rossum <guido@python.org>
parents:
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|
1257 { |
|
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1258 if (PyFloat_CheckExact(v)) |
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1259 Py_INCREF(v); |
|
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1260 else |
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1261 v = PyFloat_FromDouble(((PyFloatObject *)v)->ob_fval); |
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1262 return v; |
|
1049
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Made builtins int(), long(), float(), oct() and hex() more generic.
Guido van Rossum <guido@python.org>
parents:
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|
1263 } |
|
2ed511171809
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parents:
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|
1264 |
|
47966
97ba936e8df8
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Mark Dickinson <dickinsm@gmail.com>
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|
1265 /* turn ASCII hex characters into integer values and vice versa */ |
|
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Mark Dickinson <dickinsm@gmail.com>
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1266 |
|
97ba936e8df8
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1267 static char |
|
97ba936e8df8
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Mark Dickinson <dickinsm@gmail.com>
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|
1268 char_from_hex(int x) |
|
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Mark Dickinson <dickinsm@gmail.com>
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1269 { |
|
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1270 assert(0 <= x && x < 16); |
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1271 return "0123456789abcdef"[x]; |
|
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Mark Dickinson <dickinsm@gmail.com>
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1272 } |
|
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Mark Dickinson <dickinsm@gmail.com>
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|
1273 |
|
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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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|
1274 static int |
|
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
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|
1275 hex_from_char(char c) { |
|
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1276 int x; |
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1277 switch(c) { |
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1278 case '0': |
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1279 x = 0; |
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1280 break; |
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1281 case '1': |
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1282 x = 1; |
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1283 break; |
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1284 case '2': |
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1285 x = 2; |
|
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1286 break; |
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1287 case '3': |
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1288 x = 3; |
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1289 break; |
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1290 case '4': |
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1291 x = 4; |
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1292 break; |
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1293 case '5': |
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1294 x = 5; |
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1295 break; |
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1296 case '6': |
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1297 x = 6; |
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1298 break; |
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1299 case '7': |
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1300 x = 7; |
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1301 break; |
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1302 case '8': |
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1303 x = 8; |
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1304 break; |
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1305 case '9': |
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1306 x = 9; |
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1307 break; |
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1308 case 'a': |
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1309 case 'A': |
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1310 x = 10; |
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1311 break; |
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1312 case 'b': |
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1313 case 'B': |
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1314 x = 11; |
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1315 break; |
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1316 case 'c': |
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1317 case 'C': |
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1318 x = 12; |
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1319 break; |
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1320 case 'd': |
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1321 case 'D': |
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1322 x = 13; |
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1324 case 'e': |
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1325 case 'E': |
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1326 x = 14; |
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1327 break; |
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1328 case 'f': |
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1329 case 'F': |
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1330 x = 15; |
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1332 default: |
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1333 x = -1; |
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1335 } |
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1336 return x; |
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1337 } |
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1338 |
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1339 /* convert a float to a hexadecimal string */ |
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1340 |
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1341 /* TOHEX_NBITS is DBL_MANT_DIG rounded up to the next integer |
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1342 of the form 4k+1. */ |
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1343 #define TOHEX_NBITS DBL_MANT_DIG + 3 - (DBL_MANT_DIG+2)%4 |
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1344 |
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1345 static PyObject * |
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1346 float_hex(PyObject *v) |
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1347 { |
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1348 double x, m; |
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1349 int e, shift, i, si, esign; |
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1350 /* Space for 1+(TOHEX_NBITS-1)/4 digits, a decimal point, and the |
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1351 trailing NUL byte. */ |
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1352 char s[(TOHEX_NBITS-1)/4+3]; |
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1353 |
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1354 CONVERT_TO_DOUBLE(v, x); |
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1355 |
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1356 if (Py_IS_NAN(x) || Py_IS_INFINITY(x)) |
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1357 return float_str((PyFloatObject *)v); |
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1358 |
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1359 if (x == 0.0) { |
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1360 if (copysign(1.0, x) == -1.0) |
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1361 return PyString_FromString("-0x0.0p+0"); |
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1362 else |
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1363 return PyString_FromString("0x0.0p+0"); |
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1364 } |
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1365 |
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1366 m = frexp(fabs(x), &e); |
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1367 shift = 1 - MAX(DBL_MIN_EXP - e, 0); |
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1368 m = ldexp(m, shift); |
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1369 e -= shift; |
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1370 |
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1371 si = 0; |
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1372 s[si] = char_from_hex((int)m); |
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1373 si++; |
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1374 m -= (int)m; |
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1375 s[si] = '.'; |
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1376 si++; |
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1377 for (i=0; i < (TOHEX_NBITS-1)/4; i++) { |
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1378 m *= 16.0; |
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1379 s[si] = char_from_hex((int)m); |
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1380 si++; |
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1381 m -= (int)m; |
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1382 } |
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1383 s[si] = '\0'; |
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1384 |
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1385 if (e < 0) { |
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1386 esign = (int)'-'; |
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1387 e = -e; |
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1388 } |
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1389 else |
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1390 esign = (int)'+'; |
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1391 |
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1392 if (x < 0.0) |
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1393 return PyString_FromFormat("-0x%sp%c%d", s, esign, e); |
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1394 else |
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1395 return PyString_FromFormat("0x%sp%c%d", s, esign, e); |
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1396 } |
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1397 |
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1398 PyDoc_STRVAR(float_hex_doc, |
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1399 "float.hex() -> string\n\ |
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1400 \n\ |
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1401 Return a hexadecimal representation of a floating-point number.\n\ |
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1402 >>> (-0.1).hex()\n\ |
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1403 '-0x1.999999999999ap-4'\n\ |
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1404 >>> 3.14159.hex()\n\ |
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1405 '0x1.921f9f01b866ep+1'"); |
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1406 |
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1407 /* Case-insensitive locale-independent string match used for nan and inf |
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1408 detection. t should be lower-case and null-terminated. Return a nonzero |
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1409 result if the first strlen(t) characters of s match t and 0 otherwise. */ |
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1410 |
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1411 static int |
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1412 case_insensitive_match(const char *s, const char *t) |
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1413 { |
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1414 while(*t && Py_TOLOWER(*s) == *t) { |
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1415 s++; |
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1416 t++; |
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1417 } |
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1418 return *t ? 0 : 1; |
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1419 } |
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1420 |
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1421 /* Convert a hexadecimal string to a float. */ |
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1422 |
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1423 static PyObject * |
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1424 float_fromhex(PyObject *cls, PyObject *arg) |
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1425 { |
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1426 PyObject *result_as_float, *result; |
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1427 double x; |
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1428 long exp, top_exp, lsb, key_digit; |
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1429 char *s, *coeff_start, *s_store, *coeff_end, *exp_start, *s_end; |
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1430 int half_eps, digit, round_up, sign=1; |
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1431 Py_ssize_t length, ndigits, fdigits, i; |
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1432 |
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1433 /* |
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1434 * For the sake of simplicity and correctness, we impose an artificial |
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1435 * limit on ndigits, the total number of hex digits in the coefficient |
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1436 * The limit is chosen to ensure that, writing exp for the exponent, |
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1437 * |
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1438 * (1) if exp > LONG_MAX/2 then the value of the hex string is |
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1439 * guaranteed to overflow (provided it's nonzero) |
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1440 * |
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1441 * (2) if exp < LONG_MIN/2 then the value of the hex string is |
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1442 * guaranteed to underflow to 0. |
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1443 * |
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1444 * (3) if LONG_MIN/2 <= exp <= LONG_MAX/2 then there's no danger of |
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1445 * overflow in the calculation of exp and top_exp below. |
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1446 * |
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1447 * More specifically, ndigits is assumed to satisfy the following |
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1448 * inequalities: |
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1449 * |
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1450 * 4*ndigits <= DBL_MIN_EXP - DBL_MANT_DIG - LONG_MIN/2 |
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1451 * 4*ndigits <= LONG_MAX/2 + 1 - DBL_MAX_EXP |
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1452 * |
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1453 * If either of these inequalities is not satisfied, a ValueError is |
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Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1454 * raised. Otherwise, write x for the value of the hex string, and |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1455 * assume x is nonzero. Then |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1456 * |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1457 * 2**(exp-4*ndigits) <= |x| < 2**(exp+4*ndigits). |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1458 * |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1459 * Now if exp > LONG_MAX/2 then: |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1460 * |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1461 * exp - 4*ndigits >= LONG_MAX/2 + 1 - (LONG_MAX/2 + 1 - DBL_MAX_EXP) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1462 * = DBL_MAX_EXP |
|
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Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1463 * |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1464 * so |x| >= 2**DBL_MAX_EXP, which is too large to be stored in C |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1465 * double, so overflows. If exp < LONG_MIN/2, then |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1466 * |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1467 * exp + 4*ndigits <= LONG_MIN/2 - 1 + ( |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
1468 * DBL_MIN_EXP - DBL_MANT_DIG - LONG_MIN/2) |
|
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Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
1469 * = DBL_MIN_EXP - DBL_MANT_DIG - 1 |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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changeset
|
1470 * |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1471 * and so |x| < 2**(DBL_MIN_EXP-DBL_MANT_DIG-1), hence underflows to 0 |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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changeset
|
1472 * when converted to a C double. |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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changeset
|
1473 * |
|
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Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
1474 * It's easy to show that if LONG_MIN/2 <= exp <= LONG_MAX/2 then both |
|
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Recorded merge of revisions 81029 via svnmerge from
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parents:
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changeset
|
1475 * exp+4*ndigits and exp-4*ndigits are within the range of a long. |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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changeset
|
1476 */ |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1477 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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changeset
|
1478 if (PyString_AsStringAndSize(arg, &s, &length)) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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changeset
|
1479 return NULL; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1480 s_end = s + length; |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1481 |
|
61465
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
1482 /******************** |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
1483 * Parse the string * |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
1484 ********************/ |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1485 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1486 /* leading whitespace and optional sign */ |
|
61463
fd25030223b0
Untabify C files. Will watch buildbots.
Antoine Pitrou <solipsis@pitrou.net>
parents:
61323
diff
changeset
|
1487 while (Py_ISSPACE(*s)) |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
1488 s++; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1489 if (*s == '-') { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
1490 s++; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
1491 sign = -1; |
|
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Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
1492 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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changeset
|
1493 else if (*s == '+') |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1494 s++; |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1495 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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changeset
|
1496 /* infinities and nans */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
1497 if (*s == 'i' || *s == 'I') { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
1498 if (!case_insensitive_match(s+1, "nf")) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
1499 goto parse_error; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
1500 s += 3; |
|
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Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
1501 x = Py_HUGE_VAL; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1502 if (case_insensitive_match(s, "inity")) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1503 s += 5; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1504 goto finished; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1505 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1506 if (*s == 'n' || *s == 'N') { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1507 if (!case_insensitive_match(s+1, "an")) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1508 goto parse_error; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1509 s += 3; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1510 x = Py_NAN; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1511 goto finished; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1512 } |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1513 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1514 /* [0x] */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1515 s_store = s; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1516 if (*s == '0') { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1517 s++; |
|
61463
fd25030223b0
Untabify C files. Will watch buildbots.
Antoine Pitrou <solipsis@pitrou.net>
parents:
61323
diff
changeset
|
1518 if (*s == 'x' || *s == 'X') |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1519 s++; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1520 else |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1521 s = s_store; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1522 } |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1523 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1524 /* coefficient: <integer> [. <fraction>] */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1525 coeff_start = s; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1526 while (hex_from_char(*s) >= 0) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1527 s++; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1528 s_store = s; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
1529 if (*s == '.') { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1530 s++; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1531 while (hex_from_char(*s) >= 0) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1532 s++; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1533 coeff_end = s-1; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1534 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1535 else |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1536 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
changeset
|
1537 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1538 /* ndigits = total # of hex digits; fdigits = # after point */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1539 ndigits = coeff_end - coeff_start; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1540 fdigits = coeff_end - s_store; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1541 if (ndigits == 0) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1542 goto parse_error; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1543 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
|
1544 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
|
1545 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
|
1546 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1547 /* [p <exponent>] */ |
|
61463
fd25030223b0
Untabify C files. Will watch buildbots.
Antoine Pitrou <solipsis@pitrou.net>
parents:
61323
diff
changeset
|
1548 if (*s == 'p' || *s == 'P') { |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1549 s++; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1550 exp_start = s; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1551 if (*s == '-' || *s == '+') |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1552 s++; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1553 if (!('0' <= *s && *s <= '9')) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1554 goto parse_error; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1555 s++; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1556 while ('0' <= *s && *s <= '9') |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1557 s++; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1558 exp = strtol(exp_start, NULL, 10); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1559 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1560 else |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
1561 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
|
1562 |
|
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1563 /* for 0 <= j < ndigits, HEX_DIGIT(j) gives the jth most significant digit */ |
|
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diff
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|
1564 #define HEX_DIGIT(j) hex_from_char(*((j) < fdigits ? \ |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
1565 coeff_end-(j) : \ |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
1566 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
|
1567 |
|
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|
1568 /******************************************* |
|
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changeset
|
1569 * Compute rounded value of the hex string * |
|
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diff
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|
1570 *******************************************/ |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1571 |
|
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changeset
|
1572 /* Discard leading zeros, and catch extreme overflow and underflow */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
1573 while (ndigits > 0 && HEX_DIGIT(ndigits-1) == 0) |
|
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|
1574 ndigits--; |
|
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|
1575 if (ndigits == 0 || exp < LONG_MIN/2) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
1576 x = 0.0; |
|
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|
1577 goto finished; |
|
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|
1578 } |
|
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|
1579 if (exp > LONG_MAX/2) |
|
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|
1580 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
|
1581 |
|
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|
1582 /* Adjust exponent for fractional part. */ |
|
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|
1583 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
|
1584 |
|
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|
1585 /* top_exp = 1 more than exponent of most sig. bit of coefficient */ |
|
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|
1586 top_exp = exp + 4*((long)ndigits - 1); |
|
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|
1587 for (digit = HEX_DIGIT(ndigits-1); digit != 0; digit /= 2) |
|
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|
1588 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
|
1589 |
|
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|
1590 /* catch almost all nonextreme cases of overflow and underflow here */ |
|
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|
1591 if (top_exp < DBL_MIN_EXP - DBL_MANT_DIG) { |
|
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|
1592 x = 0.0; |
|
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|
1593 goto finished; |
|
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|
1594 } |
|
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|
1595 if (top_exp > DBL_MAX_EXP) |
|
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|
1596 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
|
1597 |
|
61465
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|
1598 /* lsb = exponent of least significant bit of the *rounded* value. |
|
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|
1599 This is top_exp - DBL_MANT_DIG unless result is subnormal. */ |
|
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|
1600 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
|
1601 |
|
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|
1602 x = 0.0; |
|
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changeset
|
1603 if (exp >= lsb) { |
|
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|
1604 /* no rounding required */ |
|
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|
1605 for (i = ndigits-1; i >= 0; i--) |
|
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|
1606 x = 16.0*x + HEX_DIGIT(i); |
|
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|
1607 x = ldexp(x, (int)(exp)); |
|
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|
1608 goto finished; |
|
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|
1609 } |
|
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|
1610 /* rounding required. key_digit is the index of the hex digit |
|
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|
1611 containing the first bit to be rounded away. */ |
|
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|
1612 half_eps = 1 << (int)((lsb - exp - 1) % 4); |
|
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|
1613 key_digit = (lsb - exp - 1) / 4; |
|
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diff
changeset
|
1614 for (i = ndigits-1; i > key_digit; i--) |
|
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|
1615 x = 16.0*x + HEX_DIGIT(i); |
|
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changeset
|
1616 digit = HEX_DIGIT(key_digit); |
|
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changeset
|
1617 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
|
1618 |
|
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|
1619 /* round-half-even: round up if bit lsb-1 is 1 and at least one of |
|
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|
1620 bits lsb, lsb-2, lsb-3, lsb-4, ... is 1. */ |
|
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|
1621 if ((digit & half_eps) != 0) { |
|
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changeset
|
1622 round_up = 0; |
|
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|
1623 if ((digit & (3*half_eps-1)) != 0 || |
|
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|
1624 (half_eps == 8 && (HEX_DIGIT(key_digit+1) & 1) != 0)) |
|
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|
1625 round_up = 1; |
|
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|
1626 else |
|
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changeset
|
1627 for (i = key_digit-1; i >= 0; i--) |
|
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|
1628 if (HEX_DIGIT(i) != 0) { |
|
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changeset
|
1629 round_up = 1; |
|
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|
1630 break; |
|
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|
1631 } |
|
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changeset
|
1632 if (round_up == 1) { |
|
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changeset
|
1633 x += 2*half_eps; |
|
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|
1634 if (top_exp == DBL_MAX_EXP && |
|
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|
1635 x == ldexp((double)(2*half_eps), DBL_MANT_DIG)) |
|
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|
1636 /* overflow corner case: pre-rounded value < |
|
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|
1637 2**DBL_MAX_EXP; rounded=2**DBL_MAX_EXP. */ |
|
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|
1638 goto overflow_error; |
|
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|
1639 } |
|
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|
1640 } |
|
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|
1641 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
|
1642 |
|
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1643 finished: |
|
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|
1644 /* 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
|
1645 while (Py_ISSPACE(*s)) |
|
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|
1646 s++; |
|
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|
1647 if (s != s_end) |
|
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|
1648 goto parse_error; |
|
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|
1649 result_as_float = Py_BuildValue("(d)", sign * x); |
|
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|
1650 if (result_as_float == NULL) |
|
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|
1651 return NULL; |
|
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|
1652 result = PyObject_CallObject(cls, result_as_float); |
|
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|
1653 Py_DECREF(result_as_float); |
|
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|
1654 return result; |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1655 |
|
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1656 overflow_error: |
|
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|
1657 PyErr_SetString(PyExc_OverflowError, |
|
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|
1658 "hexadecimal value too large to represent as a float"); |
|
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|
1659 return NULL; |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1660 |
|
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1661 parse_error: |
|
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|
1662 PyErr_SetString(PyExc_ValueError, |
|
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|
1663 "invalid hexadecimal floating-point string"); |
|
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|
1664 return NULL; |
|
47966
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
diff
changeset
|
1665 |
|
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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|
1666 insane_length_error: |
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1667 PyErr_SetString(PyExc_ValueError, |
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1668 "hexadecimal string too long to convert"); |
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1669 return NULL; |
|
47966
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Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
1670 } |
|
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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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|
1671 |
|
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Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
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|
1672 PyDoc_STRVAR(float_fromhex_doc, |
|
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 "float.fromhex(string) -> float\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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|
1674 \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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|
1675 Create a floating-point number from a hexadecimal string.\n\ |
|
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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|
1676 >>> float.fromhex('0x1.ffffp10')\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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|
1677 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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|
1678 >>> float.fromhex('-0x1p-1074')\n\ |
|
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
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|
1679 -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:
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|
1680 |
|
97ba936e8df8
Issue #3008: add instance method float.hex and class method float.fromhex
Mark Dickinson <dickinsm@gmail.com>
parents:
47897
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|
1681 |
|
45024
f062dda54894
Moved Rational._binary_float_to_ratio() to float.as_integer_ratio() because
Jeffrey Yasskin <jyasskin@gmail.com>
parents:
44940
diff
changeset
|
1682 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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|
1683 float_as_integer_ratio(PyObject *v, PyObject *unused) |
|
45024
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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|
1684 { |
|
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1685 double self; |
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|
1686 double float_part; |
|
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|
1687 int exponent; |
|
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|
1688 int i; |
|
45094
beea73ca2b88
Issue #1996: float.as_integer_ratio() should return fraction in lowest terms.
Raymond Hettinger <python@rcn.com>
parents:
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|
1689 |
|
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1690 PyObject *prev; |
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1691 PyObject *py_exponent = NULL; |
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1692 PyObject *numerator = NULL; |
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1693 PyObject *denominator = NULL; |
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1694 PyObject *result_pair = NULL; |
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1695 PyNumberMethods *long_methods = PyLong_Type.tp_as_number; |
|
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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|
1696 |
|
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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|
1697 #define INPLACE_UPDATE(obj, call) \ |
|
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1698 prev = obj; \ |
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1699 obj = call; \ |
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1700 Py_DECREF(prev); \ |
|
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Moved Rational._binary_float_to_ratio() to float.as_integer_ratio() because
Jeffrey Yasskin <jyasskin@gmail.com>
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|
1701 |
|
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1702 CONVERT_TO_DOUBLE(v, self); |
|
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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|
1703 |
|
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1704 if (Py_IS_INFINITY(self)) { |
|
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1705 PyErr_SetString(PyExc_OverflowError, |
|
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|
1706 "Cannot pass infinity to float.as_integer_ratio."); |
|
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1707 return NULL; |
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1708 } |
|
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Jeffrey Yasskin <jyasskin@gmail.com>
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|
1709 #ifdef Py_NAN |
|
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1710 if (Py_IS_NAN(self)) { |
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1711 PyErr_SetString(PyExc_ValueError, |
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1712 "Cannot pass NaN to float.as_integer_ratio."); |
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1713 return NULL; |
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1714 } |
|
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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|
1715 #endif |
|
f062dda54894
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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1716 |
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1717 PyFPE_START_PROTECT("as_integer_ratio", goto error); |
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1718 float_part = frexp(self, &exponent); /* self == float_part * 2**exponent exactly */ |
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1719 PyFPE_END_PROTECT(float_part); |
|
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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|
1720 |
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1721 for (i=0; i<300 && float_part != floor(float_part) ; i++) { |
|
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1722 float_part *= 2.0; |
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1723 exponent--; |
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1724 } |
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1725 /* self == float_part * 2**exponent exactly and float_part is integral. |
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1726 If FLT_RADIX != 2, the 300 steps may leave a tiny fractional part |
|
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1727 to be truncated by PyLong_FromDouble(). */ |
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1728 |
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1729 numerator = PyLong_FromDouble(float_part); |
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1730 if (numerator == NULL) goto error; |
|
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Moved Rational._binary_float_to_ratio() to float.as_integer_ratio() because
Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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1731 |
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1732 /* fold in 2**exponent */ |
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1733 denominator = PyLong_FromLong(1); |
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1734 py_exponent = PyLong_FromLong(labs((long)exponent)); |
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1735 if (py_exponent == NULL) goto error; |
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1736 INPLACE_UPDATE(py_exponent, |
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1737 long_methods->nb_lshift(denominator, py_exponent)); |
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1738 if (py_exponent == NULL) goto error; |
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1739 if (exponent > 0) { |
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1740 INPLACE_UPDATE(numerator, |
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1741 long_methods->nb_multiply(numerator, py_exponent)); |
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1742 if (numerator == NULL) goto error; |
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1743 } |
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1744 else { |
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1745 Py_DECREF(denominator); |
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1746 denominator = py_exponent; |
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1747 py_exponent = NULL; |
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1748 } |
|
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Jeffrey Yasskin <jyasskin@gmail.com>
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|
1749 |
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1750 /* Returns ints instead of longs where possible */ |
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1751 INPLACE_UPDATE(numerator, PyNumber_Int(numerator)); |
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1752 if (numerator == NULL) goto error; |
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1753 INPLACE_UPDATE(denominator, PyNumber_Int(denominator)); |
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1754 if (denominator == NULL) goto error; |
|
45095
5cb8288360e7
Integer ratio should return ints instead of longs whereever possible.
Raymond Hettinger <python@rcn.com>
parents:
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1755 |
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1756 result_pair = PyTuple_Pack(2, numerator, denominator); |
|
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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|
1757 |
|
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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|
1758 #undef INPLACE_UPDATE |
|
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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|
1759 error: |
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1760 Py_XDECREF(py_exponent); |
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1761 Py_XDECREF(denominator); |
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1762 Py_XDECREF(numerator); |
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1763 return result_pair; |
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Jeffrey Yasskin <jyasskin@gmail.com>
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|
1764 } |
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Jeffrey Yasskin <jyasskin@gmail.com>
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1765 |
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Jeffrey Yasskin <jyasskin@gmail.com>
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1766 PyDoc_STRVAR(float_as_integer_ratio_doc, |
|
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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1767 "float.as_integer_ratio() -> (int, int)\n" |
|
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Jeffrey Yasskin <jyasskin@gmail.com>
parents:
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|
1768 "\n" |
|
45094
beea73ca2b88
Issue #1996: float.as_integer_ratio() should return fraction in lowest terms.
Raymond Hettinger <python@rcn.com>
parents:
45060
diff
changeset
|
1769 "Returns a pair of integers, whose ratio is exactly equal to the original\n" |
|
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1770 "float and with a positive denominator.\n" |
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1771 "Raises OverflowError on infinities and a ValueError on NaNs.\n" |
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1772 "\n" |
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1773 ">>> (10.0).as_integer_ratio()\n" |
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1774 "(10, 1)\n" |
|
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1775 ">>> (0.0).as_integer_ratio()\n" |
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1776 "(0, 1)\n" |
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1777 ">>> (-.25).as_integer_ratio()\n" |
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1778 "(-1, 4)"); |
|
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1779 |
|
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1780 |
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1781 static PyObject * |
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1782 float_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds); |
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1783 |
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1784 static PyObject * |
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1785 float_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
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1786 { |
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1787 PyObject *x = Py_False; /* Integer zero */ |
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1788 static char *kwlist[] = {"x", 0}; |
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1789 |
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1790 if (type != &PyFloat_Type) |
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1791 return float_subtype_new(type, args, kwds); /* Wimp out */ |
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1792 if (!PyArg_ParseTupleAndKeywords(args, kwds, "|O:float", kwlist, &x)) |
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1793 return NULL; |
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1794 /* If it's a string, but not a string subclass, use |
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1795 PyFloat_FromString. */ |
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1796 if (PyString_CheckExact(x)) |
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1797 return PyFloat_FromString(x, NULL); |
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1798 return PyNumber_Float(x); |
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1799 } |
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1800 |
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1801 /* Wimpy, slow approach to tp_new calls for subtypes of float: |
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1802 first create a regular float from whatever arguments we got, |
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1803 then allocate a subtype instance and initialize its ob_fval |
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1804 from the regular float. The regular float is then thrown away. |
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1805 */ |
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1806 static PyObject * |
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1807 float_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
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1808 { |
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1809 PyObject *tmp, *newobj; |
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1810 |
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1811 assert(PyType_IsSubtype(type, &PyFloat_Type)); |
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1812 tmp = float_new(&PyFloat_Type, args, kwds); |
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1813 if (tmp == NULL) |
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1814 return NULL; |
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1815 assert(PyFloat_CheckExact(tmp)); |
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1816 newobj = type->tp_alloc(type, 0); |
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1817 if (newobj == NULL) { |
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1818 Py_DECREF(tmp); |
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1819 return NULL; |
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1820 } |
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1821 ((PyFloatObject *)newobj)->ob_fval = ((PyFloatObject *)tmp)->ob_fval; |
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1822 Py_DECREF(tmp); |
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1823 return newobj; |
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1824 } |
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1825 |
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1826 static PyObject * |
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1827 float_getnewargs(PyFloatObject *v) |
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1828 { |
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1829 return Py_BuildValue("(d)", v->ob_fval); |
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1830 } |
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1831 |
| 34972 | 1832 /* this is for the benefit of the pack/unpack routines below */ |
| 1833 | |
| 1834 typedef enum { | |
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1835 unknown_format, ieee_big_endian_format, ieee_little_endian_format |
| 34972 | 1836 } float_format_type; |
| 1837 | |
| 1838 static float_format_type double_format, float_format; | |
| 1839 static float_format_type detected_double_format, detected_float_format; | |
| 1840 | |
| 1841 static PyObject * | |
| 1842 float_getformat(PyTypeObject *v, PyObject* arg) | |
| 1843 { | |
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1844 char* s; |
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1845 float_format_type r; |
| 34972 | 1846 |
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1847 if (!PyString_Check(arg)) { |
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1848 PyErr_Format(PyExc_TypeError, |
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1849 "__getformat__() argument must be string, not %.500s", |
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1850 Py_TYPE(arg)->tp_name); |
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1851 return NULL; |
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1852 } |
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1853 s = PyString_AS_STRING(arg); |
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1854 if (strcmp(s, "double") == 0) { |
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1855 r = double_format; |
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1856 } |
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1857 else if (strcmp(s, "float") == 0) { |
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1858 r = float_format; |
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1859 } |
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1860 else { |
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1861 PyErr_SetString(PyExc_ValueError, |
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1862 "__getformat__() argument 1 must be " |
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1863 "'double' or 'float'"); |
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1864 return NULL; |
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1865 } |
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1866 |
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1867 switch (r) { |
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1868 case unknown_format: |
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1869 return PyString_FromString("unknown"); |
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1870 case ieee_little_endian_format: |
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1871 return PyString_FromString("IEEE, little-endian"); |
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1872 case ieee_big_endian_format: |
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1873 return PyString_FromString("IEEE, big-endian"); |
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1874 default: |
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1875 Py_FatalError("insane float_format or double_format"); |
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1876 return NULL; |
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1877 } |
| 34972 | 1878 } |
| 1879 | |
| 1880 PyDoc_STRVAR(float_getformat_doc, | |
| 1881 "float.__getformat__(typestr) -> string\n" | |
| 1882 "\n" | |
| 1883 "You probably don't want to use this function. It exists mainly to be\n" | |
| 1884 "used in Python's test suite.\n" | |
| 1885 "\n" | |
| 1886 "typestr must be 'double' or 'float'. This function returns whichever of\n" | |
| 1887 "'unknown', 'IEEE, big-endian' or 'IEEE, little-endian' best describes the\n" | |
| 1888 "format of floating point numbers used by the C type named by typestr."); | |
| 1889 | |
| 1890 static PyObject * | |
| 1891 float_setformat(PyTypeObject *v, PyObject* args) | |
| 1892 { | |
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1893 char* typestr; |
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1894 char* format; |
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1895 float_format_type f; |
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1896 float_format_type detected; |
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1897 float_format_type *p; |
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1898 |
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1899 if (!PyArg_ParseTuple(args, "ss:__setformat__", &typestr, &format)) |
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1900 return NULL; |
| 34972 | 1901 |
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1902 if (strcmp(typestr, "double") == 0) { |
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1903 p = &double_format; |
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1904 detected = detected_double_format; |
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1905 } |
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1906 else if (strcmp(typestr, "float") == 0) { |
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1907 p = &float_format; |
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1908 detected = detected_float_format; |
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1909 } |
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1910 else { |
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1911 PyErr_SetString(PyExc_ValueError, |
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1912 "__setformat__() argument 1 must " |
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1913 "be 'double' or 'float'"); |
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1914 return NULL; |
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1915 } |
| 34972 | 1916 |
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1917 if (strcmp(format, "unknown") == 0) { |
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1918 f = unknown_format; |
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1919 } |
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1920 else if (strcmp(format, "IEEE, little-endian") == 0) { |
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1921 f = ieee_little_endian_format; |
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1922 } |
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1923 else if (strcmp(format, "IEEE, big-endian") == 0) { |
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1924 f = ieee_big_endian_format; |
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1925 } |
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1926 else { |
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1927 PyErr_SetString(PyExc_ValueError, |
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1928 "__setformat__() argument 2 must be " |
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1929 "'unknown', 'IEEE, little-endian' or " |
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1930 "'IEEE, big-endian'"); |
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1931 return NULL; |
| 34972 | 1932 |
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1933 } |
| 34972 | 1934 |
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1935 if (f != unknown_format && f != detected) { |
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1936 PyErr_Format(PyExc_ValueError, |
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1937 "can only set %s format to 'unknown' or the " |
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1938 "detected platform value", typestr); |
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1939 return NULL; |
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1940 } |
| 34972 | 1941 |
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1942 *p = f; |
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1943 Py_RETURN_NONE; |
| 34972 | 1944 } |
| 1945 | |
| 1946 PyDoc_STRVAR(float_setformat_doc, | |
| 1947 "float.__setformat__(typestr, fmt) -> None\n" | |
| 1948 "\n" | |
| 1949 "You probably don't want to use this function. It exists mainly to be\n" | |
| 1950 "used in Python's test suite.\n" | |
| 1951 "\n" | |
| 1952 "typestr must be 'double' or 'float'. fmt must be one of 'unknown',\n" | |
| 1953 "'IEEE, big-endian' or 'IEEE, little-endian', and in addition can only be\n" | |
| 1954 "one of the latter two if it appears to match the underlying C reality.\n" | |
| 1955 "\n" | |
| 1956 "Overrides the automatic determination of C-level floating point type.\n" | |
| 1957 "This affects how floats are converted to and from binary strings."); | |
| 1958 | |
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1959 static PyObject * |
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1960 float_getzero(PyObject *v, void *closure) |
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1961 { |
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1962 return PyFloat_FromDouble(0.0); |
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1963 } |
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1964 |
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1965 static PyObject * |
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1966 float__format__(PyObject *self, PyObject *args) |
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1967 { |
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1968 PyObject *format_spec; |
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1969 |
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1970 if (!PyArg_ParseTuple(args, "O:__format__", &format_spec)) |
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1971 return NULL; |
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1972 if (PyBytes_Check(format_spec)) |
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1973 return _PyFloat_FormatAdvanced(self, |
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1974 PyBytes_AS_STRING(format_spec), |
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1975 PyBytes_GET_SIZE(format_spec)); |
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1976 if (PyUnicode_Check(format_spec)) { |
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1977 /* Convert format_spec to a str */ |
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1978 PyObject *result; |
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1979 PyObject *str_spec = PyObject_Str(format_spec); |
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1980 |
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1981 if (str_spec == NULL) |
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1982 return NULL; |
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1983 |
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1984 result = _PyFloat_FormatAdvanced(self, |
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1985 PyBytes_AS_STRING(str_spec), |
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1986 PyBytes_GET_SIZE(str_spec)); |
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1987 |
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1988 Py_DECREF(str_spec); |
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1989 return result; |
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1990 } |
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1991 PyErr_SetString(PyExc_TypeError, "__format__ requires str or unicode"); |
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1992 return NULL; |
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1993 } |
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1994 |
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1995 PyDoc_STRVAR(float__format__doc, |
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1996 "float.__format__(format_spec) -> string\n" |
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1997 "\n" |
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1998 "Formats the float according to format_spec."); |
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1999 |
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2000 |
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2001 static PyMethodDef float_methods[] = { |
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2002 {"conjugate", (PyCFunction)float_float, METH_NOARGS, |
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2003 "Returns self, the complex conjugate of any float."}, |
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2004 {"__trunc__", (PyCFunction)float_trunc, METH_NOARGS, |
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2005 "Returns the Integral closest to x between 0 and x."}, |
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2006 {"as_integer_ratio", (PyCFunction)float_as_integer_ratio, METH_NOARGS, |
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2007 float_as_integer_ratio_doc}, |
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2008 {"fromhex", (PyCFunction)float_fromhex, |
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2009 METH_O|METH_CLASS, float_fromhex_doc}, |
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2010 {"hex", (PyCFunction)float_hex, |
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2011 METH_NOARGS, float_hex_doc}, |
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2012 {"is_integer", (PyCFunction)float_is_integer, METH_NOARGS, |
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2013 "Returns True if the float is an integer."}, |
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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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2014 #if 0 |
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2015 {"is_inf", (PyCFunction)float_is_inf, METH_NOARGS, |
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2016 "Returns True if the float is positive or negative infinite."}, |
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2017 {"is_finite", (PyCFunction)float_is_finite, METH_NOARGS, |
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2018 "Returns True if the float is finite, neither infinite nor NaN."}, |
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2019 {"is_nan", (PyCFunction)float_is_nan, METH_NOARGS, |
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2020 "Returns True if the float is not a number (NaN)."}, |
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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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2021 #endif |
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2022 {"__getnewargs__", (PyCFunction)float_getnewargs, METH_NOARGS}, |
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2023 {"__getformat__", (PyCFunction)float_getformat, |
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2024 METH_O|METH_CLASS, float_getformat_doc}, |
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2025 {"__setformat__", (PyCFunction)float_setformat, |
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2026 METH_VARARGS|METH_CLASS, float_setformat_doc}, |
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2027 {"__format__", (PyCFunction)float__format__, |
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2028 METH_VARARGS, float__format__doc}, |
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2029 {NULL, NULL} /* sentinel */ |
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2030 }; |
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2031 |
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2032 static PyGetSetDef float_getset[] = { |
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2033 {"real", |
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2034 (getter)float_float, (setter)NULL, |
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2035 "the real part of a complex number", |
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2036 NULL}, |
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2037 {"imag", |
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2038 (getter)float_getzero, (setter)NULL, |
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2039 "the imaginary part of a complex number", |
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2040 NULL}, |
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2041 {NULL} /* Sentinel */ |
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2042 }; |
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2043 |
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2044 PyDoc_STRVAR(float_doc, |
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2045 "float(x) -> floating point number\n\ |
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2046 \n\ |
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2047 Convert a string or number to a floating point number, if possible."); |
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2048 |
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2049 |
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2050 static PyNumberMethods float_as_number = { |
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2051 float_add, /*nb_add*/ |
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2052 float_sub, /*nb_subtract*/ |
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2053 float_mul, /*nb_multiply*/ |
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2054 float_classic_div, /*nb_divide*/ |
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2055 float_rem, /*nb_remainder*/ |
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2056 float_divmod, /*nb_divmod*/ |
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2057 float_pow, /*nb_power*/ |
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2058 (unaryfunc)float_neg, /*nb_negative*/ |
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2059 (unaryfunc)float_float, /*nb_positive*/ |
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2060 (unaryfunc)float_abs, /*nb_absolute*/ |
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2061 (inquiry)float_nonzero, /*nb_nonzero*/ |
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2062 0, /*nb_invert*/ |
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2063 0, /*nb_lshift*/ |
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2064 0, /*nb_rshift*/ |
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2065 0, /*nb_and*/ |
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2066 0, /*nb_xor*/ |
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2067 0, /*nb_or*/ |
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2068 float_coerce, /*nb_coerce*/ |
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2069 float_trunc, /*nb_int*/ |
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2070 float_long, /*nb_long*/ |
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2071 float_float, /*nb_float*/ |
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2072 0, /* nb_oct */ |
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2073 0, /* nb_hex */ |
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2074 0, /* nb_inplace_add */ |
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2075 0, /* nb_inplace_subtract */ |
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2076 0, /* nb_inplace_multiply */ |
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2077 0, /* nb_inplace_divide */ |
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2078 0, /* nb_inplace_remainder */ |
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2079 0, /* nb_inplace_power */ |
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2080 0, /* nb_inplace_lshift */ |
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2081 0, /* nb_inplace_rshift */ |
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2082 0, /* nb_inplace_and */ |
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2083 0, /* nb_inplace_xor */ |
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2084 0, /* nb_inplace_or */ |
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2085 float_floor_div, /* nb_floor_divide */ |
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2086 float_div, /* nb_true_divide */ |
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2087 0, /* nb_inplace_floor_divide */ |
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2088 0, /* nb_inplace_true_divide */ |
| 6 | 2089 }; |
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2091 PyTypeObject PyFloat_Type = { |
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2092 PyVarObject_HEAD_INIT(&PyType_Type, 0) |
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2093 "float", |
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2094 sizeof(PyFloatObject), |
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2095 0, |
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2096 (destructor)float_dealloc, /* tp_dealloc */ |
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2097 (printfunc)float_print, /* tp_print */ |
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2098 0, /* tp_getattr */ |
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2099 0, /* tp_setattr */ |
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2100 0, /* tp_compare */ |
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2101 (reprfunc)float_repr, /* tp_repr */ |
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2102 &float_as_number, /* tp_as_number */ |
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2103 0, /* tp_as_sequence */ |
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2104 0, /* tp_as_mapping */ |
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2105 (hashfunc)float_hash, /* tp_hash */ |
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2106 0, /* tp_call */ |
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2107 (reprfunc)float_str, /* tp_str */ |
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2108 PyObject_GenericGetAttr, /* tp_getattro */ |
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2109 0, /* tp_setattro */ |
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2110 0, /* tp_as_buffer */ |
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2111 Py_TPFLAGS_DEFAULT | Py_TPFLAGS_CHECKTYPES | |
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2112 Py_TPFLAGS_BASETYPE, /* tp_flags */ |
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2113 float_doc, /* tp_doc */ |
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2114 0, /* tp_traverse */ |
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2115 0, /* tp_clear */ |
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2116 float_richcompare, /* tp_richcompare */ |
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2117 0, /* tp_weaklistoffset */ |
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2118 0, /* tp_iter */ |
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2119 0, /* tp_iternext */ |
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2120 float_methods, /* tp_methods */ |
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2121 0, /* tp_members */ |
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2122 float_getset, /* tp_getset */ |
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2123 0, /* tp_base */ |
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2124 0, /* tp_dict */ |
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2125 0, /* tp_descr_get */ |
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2126 0, /* tp_descr_set */ |
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2127 0, /* tp_dictoffset */ |
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2128 0, /* tp_init */ |
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2129 0, /* tp_alloc */ |
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2130 float_new, /* tp_new */ |
| 6 | 2131 }; |
|
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Guido van Rossum <guido@python.org>
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2132 |
|
80d24364b932
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Guido van Rossum <guido@python.org>
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2133 void |
| 34972 | 2134 _PyFloat_Init(void) |
| 2135 { | |
|
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2136 /* We attempt to determine if this machine is using IEEE |
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2137 floating point formats by peering at the bits of some |
|
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2138 carefully chosen values. If it looks like we are on an |
|
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2139 IEEE platform, the float packing/unpacking routines can |
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2140 just copy bits, if not they resort to arithmetic & shifts |
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2141 and masks. The shifts & masks approach works on all finite |
|
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2142 values, but what happens to infinities, NaNs and signed |
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2143 zeroes on packing is an accident, and attempting to unpack |
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2144 a NaN or an infinity will raise an exception. |
| 34972 | 2145 |
|
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2146 Note that if we're on some whacked-out platform which uses |
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2147 IEEE formats but isn't strictly little-endian or big- |
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2148 endian, we will fall back to the portable shifts & masks |
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2149 method. */ |
| 34972 | 2150 |
| 2151 #if SIZEOF_DOUBLE == 8 | |
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2152 { |
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2153 double x = 9006104071832581.0; |
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2154 if (memcmp(&x, "\x43\x3f\xff\x01\x02\x03\x04\x05", 8) == 0) |
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2155 detected_double_format = ieee_big_endian_format; |
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2156 else if (memcmp(&x, "\x05\x04\x03\x02\x01\xff\x3f\x43", 8) == 0) |
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2157 detected_double_format = ieee_little_endian_format; |
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2158 else |
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2159 detected_double_format = unknown_format; |
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2160 } |
| 34972 | 2161 #else |
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2162 detected_double_format = unknown_format; |
| 34972 | 2163 #endif |
| 2164 | |
| 2165 #if SIZEOF_FLOAT == 4 | |
|
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2166 { |
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2167 float y = 16711938.0; |
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2168 if (memcmp(&y, "\x4b\x7f\x01\x02", 4) == 0) |
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2169 detected_float_format = ieee_big_endian_format; |
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2170 else if (memcmp(&y, "\x02\x01\x7f\x4b", 4) == 0) |
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2171 detected_float_format = ieee_little_endian_format; |
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2172 else |
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2173 detected_float_format = unknown_format; |
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2174 } |
| 34972 | 2175 #else |
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2176 detected_float_format = unknown_format; |
| 34972 | 2177 #endif |
| 2178 | |
|
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2179 double_format = detected_double_format; |
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2180 float_format = detected_float_format; |
|
44267
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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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2181 |
|
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2182 /* Init float info */ |
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2183 if (FloatInfoType.tp_name == 0) |
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2184 PyStructSequence_InitType(&FloatInfoType, &floatinfo_desc); |
| 34972 | 2185 } |
| 2186 | |
|
47897
0738119c1ef8
- Issue #2862: Make int and float freelist management consistent with other
Gregory P. Smith <greg@mad-scientist.com>
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2187 int |
|
0738119c1ef8
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Gregory P. Smith <greg@mad-scientist.com>
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2188 PyFloat_ClearFreeList(void) |
|
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2189 { |
|
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2190 PyFloatObject *p; |
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2191 PyFloatBlock *list, *next; |
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2192 int i; |
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2193 int u; /* remaining unfreed ints per block */ |
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2194 int freelist_size = 0; |
|
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OK, try again. Vladimir gave me a fix for the alignment bus error,
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2195 |
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2196 list = block_list; |
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2197 block_list = NULL; |
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2198 free_list = NULL; |
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2199 while (list != NULL) { |
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2200 u = 0; |
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2201 for (i = 0, p = &list->objects[0]; |
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2202 i < N_FLOATOBJECTS; |
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2203 i++, p++) { |
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2204 if (PyFloat_CheckExact(p) && Py_REFCNT(p) != 0) |
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2205 u++; |
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2206 } |
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2207 next = list->next; |
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2208 if (u) { |
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2209 list->next = block_list; |
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2210 block_list = list; |
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2211 for (i = 0, p = &list->objects[0]; |
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2212 i < N_FLOATOBJECTS; |
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2213 i++, p++) { |
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2214 if (!PyFloat_CheckExact(p) || |
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2215 Py_REFCNT(p) == 0) { |
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2216 Py_TYPE(p) = (struct _typeobject *) |
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2217 free_list; |
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2218 free_list = p; |
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2219 } |
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2220 } |
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2221 } |
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2222 else { |
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2223 PyMem_FREE(list); |
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2224 } |
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2225 freelist_size += u; |
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2226 list = next; |
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2227 } |
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2228 return freelist_size; |
| 45143 | 2229 } |
| 2230 | |
| 2231 void | |
| 2232 PyFloat_Fini(void) | |
| 2233 { | |
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2234 PyFloatObject *p; |
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2235 PyFloatBlock *list; |
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2236 int i; |
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2237 int u; /* total unfreed floats per block */ |
| 45143 | 2238 |
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2239 u = PyFloat_ClearFreeList(); |
| 45143 | 2240 |
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2241 if (!Py_VerboseFlag) |
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2242 return; |
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2243 fprintf(stderr, "# cleanup floats"); |
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2244 if (!u) { |
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2245 fprintf(stderr, "\n"); |
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2246 } |
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2247 else { |
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2248 fprintf(stderr, |
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2249 ": %d unfreed float%s\n", |
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2250 u, u == 1 ? "" : "s"); |
|
e38335d4df91
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|
2251 } |
|
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|
2252 if (Py_VerboseFlag > 1) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2253 list = block_list; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2254 while (list != NULL) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2255 for (i = 0, p = &list->objects[0]; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2256 i < N_FLOATOBJECTS; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2257 i++, p++) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2258 if (PyFloat_CheckExact(p) && |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2259 Py_REFCNT(p) != 0) { |
|
61463
fd25030223b0
Untabify C files. Will watch buildbots.
Antoine Pitrou <solipsis@pitrou.net>
parents:
61323
diff
changeset
|
2260 char *buf = PyOS_double_to_string( |
|
fd25030223b0
Untabify C files. Will watch buildbots.
Antoine Pitrou <solipsis@pitrou.net>
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diff
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|
2261 PyFloat_AS_DOUBLE(p), 'r', |
|
fd25030223b0
Untabify C files. Will watch buildbots.
Antoine Pitrou <solipsis@pitrou.net>
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diff
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|
2262 0, 0, NULL); |
|
fd25030223b0
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Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2263 if (buf) { |
|
fd25030223b0
Untabify C files. Will watch buildbots.
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2264 /* XXX(twouters) cast |
|
fd25030223b0
Untabify C files. Will watch buildbots.
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2265 refcount to long |
|
fd25030223b0
Untabify C files. Will watch buildbots.
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2266 until %zd is |
|
fd25030223b0
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Antoine Pitrou <solipsis@pitrou.net>
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diff
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|
2267 universally |
|
fd25030223b0
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Antoine Pitrou <solipsis@pitrou.net>
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diff
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|
2268 available |
|
fd25030223b0
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|
2269 */ |
|
fd25030223b0
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|
2270 fprintf(stderr, |
|
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|
2271 "# <float at %p, refcnt=%ld, val=%s>\n", |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2272 p, (long)Py_REFCNT(p), buf); |
|
61463
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|
2273 PyMem_Free(buf); |
|
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|
2274 } |
|
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|
2275 } |
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|
2276 } |
|
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|
2277 list = list->next; |
|
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|
2278 } |
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|
2279 } |
|
5936
80d24364b932
Added _Fini() routines to free up some memory
Guido van Rossum <guido@python.org>
parents:
5504
diff
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|
2280 } |
|
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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|
2281 |
|
70003b0cb837
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Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
2282 /*---------------------------------------------------------------------------- |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
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diff
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|
2283 * _PyFloat_{Pack,Unpack}{4,8}. See floatobject.h. |
|
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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|
2284 */ |
|
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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|
2285 int |
|
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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|
2286 _PyFloat_Pack4(double x, unsigned char *p, int le) |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
2287 { |
|
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2288 if (float_format == unknown_format) { |
|
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|
2289 unsigned char sign; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2290 int e; |
|
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|
2291 double f; |
|
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|
2292 unsigned int fbits; |
|
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|
2293 int incr = 1; |
| 34972 | 2294 |
|
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|
2295 if (le) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2296 p += 3; |
|
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|
2297 incr = -1; |
|
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|
2298 } |
|
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parents:
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diff
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|
2299 |
|
61465
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|
2300 if (x < 0) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2301 sign = 1; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2302 x = -x; |
|
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|
2303 } |
|
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|
2304 else |
|
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|
2305 sign = 0; |
| 34972 | 2306 |
|
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|
2307 f = frexp(x, &e); |
| 34972 | 2308 |
|
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|
2309 /* Normalize f to be in the range [1.0, 2.0) */ |
|
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|
2310 if (0.5 <= f && f < 1.0) { |
|
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|
2311 f *= 2.0; |
|
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|
2312 e--; |
|
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|
2313 } |
|
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|
2314 else if (f == 0.0) |
|
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|
2315 e = 0; |
|
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|
2316 else { |
|
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|
2317 PyErr_SetString(PyExc_SystemError, |
|
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|
2318 "frexp() result out of range"); |
|
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|
2319 return -1; |
|
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|
2320 } |
|
28335
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Tim Peters <tim.peters@gmail.com>
parents:
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diff
changeset
|
2321 |
|
61465
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|
2322 if (e >= 128) |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2323 goto Overflow; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
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|
2324 else if (e < -126) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2325 /* Gradual underflow */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2326 f = ldexp(f, 126 + e); |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2327 e = 0; |
|
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|
2328 } |
|
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|
2329 else if (!(e == 0 && f == 0.0)) { |
|
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changeset
|
2330 e += 127; |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2331 f -= 1.0; /* Get rid of leading 1 */ |
|
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|
2332 } |
|
28335
70003b0cb837
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Tim Peters <tim.peters@gmail.com>
parents:
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diff
changeset
|
2333 |
|
61465
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|
2334 f *= 8388608.0; /* 2**23 */ |
|
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|
2335 fbits = (unsigned int)(f + 0.5); /* Round */ |
|
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|
2336 assert(fbits <= 8388608); |
|
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|
2337 if (fbits >> 23) { |
|
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changeset
|
2338 /* The carry propagated out of a string of 23 1 bits. */ |
|
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changeset
|
2339 fbits = 0; |
|
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|
2340 ++e; |
|
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|
2341 if (e >= 255) |
|
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changeset
|
2342 goto Overflow; |
|
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|
2343 } |
| 34972 | 2344 |
|
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|
2345 /* First byte */ |
|
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changeset
|
2346 *p = (sign << 7) | (e >> 1); |
|
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|
2347 p += incr; |
| 34972 | 2348 |
|
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changeset
|
2349 /* Second byte */ |
|
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|
2350 *p = (char) (((e & 1) << 7) | (fbits >> 16)); |
|
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|
2351 p += incr; |
| 34972 | 2352 |
|
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|
2353 /* Third byte */ |
|
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|
2354 *p = (fbits >> 8) & 0xFF; |
|
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|
2355 p += incr; |
| 34972 | 2356 |
|
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|
2357 /* Fourth byte */ |
|
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|
2358 *p = fbits & 0xFF; |
| 34972 | 2359 |
|
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|
2360 /* Done */ |
|
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|
2361 return 0; |
| 34972 | 2362 |
|
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|
2363 } |
|
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|
2364 else { |
|
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changeset
|
2365 float y = (float)x; |
|
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|
2366 const char *s = (char*)&y; |
|
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changeset
|
2367 int i, incr = 1; |
|
28335
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Tim Peters <tim.peters@gmail.com>
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changeset
|
2368 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2369 if (Py_IS_INFINITY(y) && !Py_IS_INFINITY(x)) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2370 goto Overflow; |
|
45759
354e377c9590
Issue 705836: Fix struct.pack(">f", 1e40) to behave consistently
Mark Dickinson <dickinsm@gmail.com>
parents:
45381
diff
changeset
|
2371 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2372 if ((float_format == ieee_little_endian_format && !le) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2373 || (float_format == ieee_big_endian_format && le)) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2374 p += 3; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2375 incr = -1; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2376 } |
|
45759
354e377c9590
Issue 705836: Fix struct.pack(">f", 1e40) to behave consistently
Mark Dickinson <dickinsm@gmail.com>
parents:
45381
diff
changeset
|
2377 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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54002
diff
changeset
|
2378 for (i = 0; i < 4; i++) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2379 *p = *s++; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2380 p += incr; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2381 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
54002
diff
changeset
|
2382 return 0; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2383 } |
|
45759
354e377c9590
Issue 705836: Fix struct.pack(">f", 1e40) to behave consistently
Mark Dickinson <dickinsm@gmail.com>
parents:
45381
diff
changeset
|
2384 Overflow: |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2385 PyErr_SetString(PyExc_OverflowError, |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2386 "float too large to pack with f format"); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2387 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
|
2388 } |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2389 |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2390 int |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2391 _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
|
2392 { |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2393 if (double_format == unknown_format) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2394 unsigned char sign; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2395 int e; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2396 double f; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2397 unsigned int fhi, flo; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2398 int incr = 1; |
| 34972 | 2399 |
|
61465
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2400 if (le) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2401 p += 7; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2402 incr = -1; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2403 } |
| 34972 | 2404 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2405 if (x < 0) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2406 sign = 1; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2407 x = -x; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2408 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2409 else |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2410 sign = 0; |
| 34972 | 2411 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2412 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
|
2413 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2414 /* 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
|
2415 if (0.5 <= f && f < 1.0) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2416 f *= 2.0; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2417 e--; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2418 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2419 else if (f == 0.0) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2420 e = 0; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2421 else { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2422 PyErr_SetString(PyExc_SystemError, |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2423 "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
|
2424 return -1; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2425 } |
| 34972 | 2426 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2427 if (e >= 1024) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2428 goto Overflow; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2429 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
|
2430 /* Gradual underflow */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2431 f = ldexp(f, 1022 + e); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2432 e = 0; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2433 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2434 else if (!(e == 0 && f == 0.0)) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2435 e += 1023; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2436 f -= 1.0; /* Get rid of leading 1 */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2437 } |
| 34972 | 2438 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2439 /* 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
|
2440 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
|
2441 fhi = (unsigned int)f; /* Truncate */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2442 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
|
2443 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2444 f -= (double)fhi; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2445 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
|
2446 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
|
2447 assert(flo <= 16777216); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2448 if (flo >> 24) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2449 /* The carry propagated out of a string of 24 1 bits. */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2450 flo = 0; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2451 ++fhi; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2452 if (fhi >> 28) { |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2453 /* 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
|
2454 fhi = 0; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2455 ++e; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2456 if (e >= 2047) |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2457 goto Overflow; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2458 } |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2459 } |
|
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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diff
changeset
|
2461 /* First byte */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2462 *p = (sign << 7) | (e >> 4); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2463 p += incr; |
| 34972 | 2464 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
2465 /* Second byte */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2466 *p = (unsigned char) (((e & 0xF) << 4) | (fhi >> 24)); |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2467 p += incr; |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2468 |
|
61465
e38335d4df91
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diff
changeset
|
2469 /* Third byte */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2470 *p = (fhi >> 16) & 0xFF; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2471 p += incr; |
| 34972 | 2472 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2473 /* Fourth byte */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2474 *p = (fhi >> 8) & 0xFF; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2475 p += incr; |
| 34972 | 2476 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2477 /* Fifth byte */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2478 *p = fhi & 0xFF; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2479 p += incr; |
| 34972 | 2480 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2481 /* Sixth byte */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2482 *p = (flo >> 16) & 0xFF; |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54002
diff
changeset
|
2483 p += incr; |
| 34972 | 2484 |
|
61465
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2485 /* Seventh byte */ |
|
e38335d4df91
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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|
2486 *p = (flo >> 8) & 0xFF; |
|
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|
2487 p += incr; |
| 34972 | 2488 |
|
61465
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|
2489 /* Eighth byte */ |
|
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diff
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|
2490 *p = flo & 0xFF; |
|
61463
fd25030223b0
Untabify C files. Will watch buildbots.
Antoine Pitrou <solipsis@pitrou.net>
parents:
61323
diff
changeset
|
2491 /* p += incr; Unneeded (for now) */ |
| 34972 | 2492 |
|
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|
2493 /* Done */ |
|
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|
2494 return 0; |
| 34972 | 2495 |
|
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|
2496 Overflow: |
|
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diff
changeset
|
2497 PyErr_SetString(PyExc_OverflowError, |
|
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|
2498 "float too large to pack with d format"); |
|
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|
2499 return -1; |
|
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|
2500 } |
|
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|
2501 else { |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2502 const char *s = (char*)&x; |
|
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|
2503 int i, incr = 1; |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
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parents:
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diff
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|
2504 |
|
61465
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|
2505 if ((double_format == ieee_little_endian_format && !le) |
|
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|
2506 || (double_format == ieee_big_endian_format && le)) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2507 p += 7; |
|
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|
2508 incr = -1; |
|
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|
2509 } |
|
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|
2510 |
|
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|
2511 for (i = 0; i < 8; i++) { |
|
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|
2512 *p = *s++; |
|
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|
2513 p += incr; |
|
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|
2514 } |
|
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|
2515 return 0; |
|
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|
2516 } |
|
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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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|
2517 } |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2518 |
|
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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|
2519 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
changeset
|
2520 _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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|
2521 { |
|
61465
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|
2522 if (float_format == unknown_format) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2523 unsigned char sign; |
|
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|
2524 int e; |
|
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|
2525 unsigned int f; |
|
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|
2526 double x; |
|
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|
2527 int incr = 1; |
| 34972 | 2528 |
|
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|
2529 if (le) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2530 p += 3; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2531 incr = -1; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2532 } |
| 34972 | 2533 |
|
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|
2534 /* First byte */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2535 sign = (*p >> 7) & 1; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2536 e = (*p & 0x7F) << 1; |
|
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|
2537 p += incr; |
|
28335
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parents:
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diff
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|
2538 |
|
61465
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|
2539 /* Second byte */ |
|
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|
2540 e |= (*p >> 7) & 1; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2541 f = (*p & 0x7F) << 16; |
|
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|
2542 p += incr; |
|
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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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diff
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|
2543 |
|
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|
2544 if (e == 255) { |
|
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|
2545 PyErr_SetString( |
|
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|
2546 PyExc_ValueError, |
|
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|
2547 "can't unpack IEEE 754 special value " |
|
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|
2548 "on non-IEEE platform"); |
|
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|
2549 return -1; |
|
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|
2550 } |
|
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70003b0cb837
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parents:
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diff
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|
2551 |
|
61465
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|
2552 /* Third byte */ |
|
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|
2553 f |= *p << 8; |
|
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|
2554 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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|
2555 |
|
61465
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|
2556 /* Fourth byte */ |
|
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|
2557 f |= *p; |
| 34972 | 2558 |
|
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|
2559 x = (double)f / 8388608.0; |
|
28335
70003b0cb837
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diff
changeset
|
2560 |
|
61465
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changeset
|
2561 /* XXX This sadly ignores Inf/NaN issues */ |
|
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|
2562 if (e == 0) |
|
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|
2563 e = -126; |
|
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|
2564 else { |
|
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|
2565 x += 1.0; |
|
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|
2566 e -= 127; |
|
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|
2567 } |
|
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|
2568 x = ldexp(x, e); |
|
28335
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|
2569 |
|
61465
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|
2570 if (sign) |
|
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|
2571 x = -x; |
|
28335
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parents:
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|
2572 |
|
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|
2573 return x; |
|
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|
2574 } |
|
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|
2575 else { |
|
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|
2576 float x; |
| 35987 | 2577 |
|
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|
2578 if ((float_format == ieee_little_endian_format && !le) |
|
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|
2579 || (float_format == ieee_big_endian_format && le)) { |
|
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|
2580 char buf[4]; |
|
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|
2581 char *d = &buf[3]; |
|
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|
2582 int i; |
|
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Tim Peters <tim.peters@gmail.com>
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|
2583 |
|
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|
2584 for (i = 0; i < 4; i++) { |
|
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|
2585 *d-- = *p++; |
|
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|
2586 } |
|
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|
2587 memcpy(&x, buf, 4); |
|
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|
2588 } |
|
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|
2589 else { |
|
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|
2590 memcpy(&x, p, 4); |
|
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|
2591 } |
| 35987 | 2592 |
|
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|
2593 return x; |
|
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|
2594 } |
|
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parents:
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|
2595 } |
|
70003b0cb837
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parents:
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changeset
|
2596 |
|
70003b0cb837
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parents:
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|
2597 double |
|
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parents:
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diff
changeset
|
2598 _PyFloat_Unpack8(const unsigned char *p, int le) |
|
70003b0cb837
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parents:
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|
2599 { |
|
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|
2600 if (double_format == unknown_format) { |
|
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|
2601 unsigned char sign; |
|
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|
2602 int e; |
|
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|
2603 unsigned int fhi, flo; |
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2604 double x; |
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2605 int incr = 1; |
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2606 |
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2607 if (le) { |
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2608 p += 7; |
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2609 incr = -1; |
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2610 } |
| 34972 | 2611 |
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2612 /* First byte */ |
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2613 sign = (*p >> 7) & 1; |
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2614 e = (*p & 0x7F) << 4; |
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2615 |
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2616 p += incr; |
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2617 |
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2618 /* Second byte */ |
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2619 e |= (*p >> 4) & 0xF; |
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2620 fhi = (*p & 0xF) << 24; |
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2621 p += incr; |
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2622 |
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2623 if (e == 2047) { |
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2624 PyErr_SetString( |
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2625 PyExc_ValueError, |
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2626 "can't unpack IEEE 754 special value " |
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2627 "on non-IEEE platform"); |
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2628 return -1.0; |
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2629 } |
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2630 |
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2631 /* Third byte */ |
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2632 fhi |= *p << 16; |
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2633 p += incr; |
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2634 |
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2635 /* Fourth byte */ |
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2636 fhi |= *p << 8; |
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2637 p += incr; |
| 34972 | 2638 |
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2639 /* Fifth byte */ |
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2640 fhi |= *p; |
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2641 p += incr; |
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2642 |
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2643 /* Sixth byte */ |
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2644 flo = *p << 16; |
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2645 p += incr; |
| 34972 | 2646 |
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2647 /* Seventh byte */ |
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2648 flo |= *p << 8; |
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2649 p += incr; |
| 34972 | 2650 |
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2651 /* Eighth byte */ |
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2652 flo |= *p; |
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2653 |
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2654 x = (double)fhi + (double)flo / 16777216.0; /* 2**24 */ |
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2655 x /= 268435456.0; /* 2**28 */ |
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2656 |
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2657 if (e == 0) |
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2658 e = -1022; |
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2659 else { |
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2660 x += 1.0; |
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2661 e -= 1023; |
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2662 } |
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2663 x = ldexp(x, e); |
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2664 |
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2665 if (sign) |
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2666 x = -x; |
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2667 |
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2668 return x; |
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2669 } |
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2670 else { |
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2671 double x; |
| 35987 | 2672 |
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2673 if ((double_format == ieee_little_endian_format && !le) |
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2674 || (double_format == ieee_big_endian_format && le)) { |
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2675 char buf[8]; |
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2676 char *d = &buf[7]; |
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2677 int i; |
| 35987 | 2678 |
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2679 for (i = 0; i < 8; i++) { |
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2680 *d-- = *p++; |
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2681 } |
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2682 memcpy(&x, buf, 8); |
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2683 } |
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2684 else { |
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2685 memcpy(&x, p, 8); |
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2686 } |
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2687 |
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2688 return x; |
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2689 } |
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2690 } |
