Mercurial > cpython-lru_cache-weakref
annotate Objects/floatobject.c @ 71285:8bc9dbc61ba6 3.2
Issue #12326: document the recommended idiom for checking sys.platform on Unix systems.
Also, point to the various alternatives.
| author | Antoine Pitrou <solipsis@pitrou.net> |
|---|---|
| date | Sat, 09 Jul 2011 15:54:23 +0200 |
| parents | 7a36136cc01b |
| children | 5b8800004955 0c50e849d455 |
| rev | line source |
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| 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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| 86 | 9 #include <ctype.h> |
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10 #include <float.h> |
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12 #undef MAX |
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13 #undef MIN |
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14 #define MAX(x, y) ((x) < (y) ? (y) : (x)) |
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15 #define MIN(x, y) ((x) < (y) ? (x) : (y)) |
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16 |
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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 |
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24 |
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25 Since some Python programs can spend much of their time allocating |
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26 and deallocating floats, these operations should be very fast. |
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27 Therefore we use a dedicated allocation scheme with a much lower |
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28 overhead (in space and time) than straight malloc(): a simple |
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29 dedicated free list, filled when necessary with memory from malloc(). |
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30 |
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31 block_list is a singly-linked list of all PyFloatBlocks ever allocated, |
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32 linked via their next members. PyFloatBlocks are never returned to the |
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33 system before shutdown (PyFloat_Fini). |
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34 |
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35 free_list is a singly-linked list of available PyFloatObjects, linked |
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36 via abuse of their ob_type members. |
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37 */ |
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38 |
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39 #define BLOCK_SIZE 1000 /* 1K less typical malloc overhead */ |
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40 #define BHEAD_SIZE 8 /* Enough for a 64-bit pointer */ |
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41 #define N_FLOATOBJECTS ((BLOCK_SIZE - BHEAD_SIZE) / sizeof(PyFloatObject)) |
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42 |
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43 struct _floatblock { |
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44 struct _floatblock *next; |
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45 PyFloatObject objects[N_FLOATOBJECTS]; |
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46 }; |
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47 |
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48 typedef struct _floatblock PyFloatBlock; |
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49 |
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50 static PyFloatBlock *block_list = NULL; |
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51 static PyFloatObject *free_list = NULL; |
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52 |
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53 static PyFloatObject * |
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54 fill_free_list(void) |
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55 { |
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56 PyFloatObject *p, *q; |
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57 /* XXX Float blocks escape the object heap. Use PyObject_MALLOC ??? */ |
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58 p = (PyFloatObject *) PyMem_MALLOC(sizeof(PyFloatBlock)); |
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59 if (p == NULL) |
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60 return (PyFloatObject *) PyErr_NoMemory(); |
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61 ((PyFloatBlock *)p)->next = block_list; |
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62 block_list = (PyFloatBlock *)p; |
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63 p = &((PyFloatBlock *)p)->objects[0]; |
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64 q = p + N_FLOATOBJECTS; |
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65 while (--q > p) |
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66 Py_TYPE(q) = (struct _typeobject *)(q-1); |
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67 Py_TYPE(q) = NULL; |
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68 return p + N_FLOATOBJECTS - 1; |
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69 } |
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70 |
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71 double |
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72 PyFloat_GetMax(void) |
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73 { |
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74 return DBL_MAX; |
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75 } |
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76 |
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77 double |
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78 PyFloat_GetMin(void) |
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79 { |
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80 return DBL_MIN; |
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81 } |
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82 |
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83 static PyTypeObject FloatInfoType; |
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84 |
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85 PyDoc_STRVAR(floatinfo__doc__, |
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86 "sys.float_info\n\ |
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87 \n\ |
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88 A structseq holding information about the float type. It contains low level\n\ |
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89 information about the precision and internal representation. Please study\n\ |
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90 your system's :file:`float.h` for more information."); |
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91 |
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92 static PyStructSequence_Field floatinfo_fields[] = { |
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93 {"max", "DBL_MAX -- maximum representable finite float"}, |
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94 {"max_exp", "DBL_MAX_EXP -- maximum int e such that radix**(e-1) " |
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95 "is representable"}, |
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96 {"max_10_exp", "DBL_MAX_10_EXP -- maximum int e such that 10**e " |
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97 "is representable"}, |
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98 {"min", "DBL_MIN -- Minimum positive normalizer float"}, |
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99 {"min_exp", "DBL_MIN_EXP -- minimum int e such that radix**(e-1) " |
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100 "is a normalized float"}, |
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101 {"min_10_exp", "DBL_MIN_10_EXP -- minimum int e such that 10**e is " |
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102 "a normalized"}, |
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103 {"dig", "DBL_DIG -- digits"}, |
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104 {"mant_dig", "DBL_MANT_DIG -- mantissa digits"}, |
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105 {"epsilon", "DBL_EPSILON -- Difference between 1 and the next " |
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106 "representable float"}, |
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107 {"radix", "FLT_RADIX -- radix of exponent"}, |
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108 {"rounds", "FLT_ROUNDS -- addition rounds"}, |
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109 {0} |
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110 }; |
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111 |
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112 static PyStructSequence_Desc floatinfo_desc = { |
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113 "sys.float_info", /* name */ |
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114 floatinfo__doc__, /* doc */ |
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115 floatinfo_fields, /* fields */ |
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116 11 |
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117 }; |
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118 |
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119 PyObject * |
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120 PyFloat_GetInfo(void) |
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121 { |
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122 PyObject* floatinfo; |
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123 int pos = 0; |
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124 |
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125 floatinfo = PyStructSequence_New(&FloatInfoType); |
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126 if (floatinfo == NULL) { |
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127 return NULL; |
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128 } |
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129 |
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130 #define SetIntFlag(flag) \ |
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131 PyStructSequence_SET_ITEM(floatinfo, pos++, PyLong_FromLong(flag)) |
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132 #define SetDblFlag(flag) \ |
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133 PyStructSequence_SET_ITEM(floatinfo, pos++, PyFloat_FromDouble(flag)) |
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134 |
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135 SetDblFlag(DBL_MAX); |
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136 SetIntFlag(DBL_MAX_EXP); |
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137 SetIntFlag(DBL_MAX_10_EXP); |
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138 SetDblFlag(DBL_MIN); |
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139 SetIntFlag(DBL_MIN_EXP); |
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140 SetIntFlag(DBL_MIN_10_EXP); |
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141 SetIntFlag(DBL_DIG); |
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142 SetIntFlag(DBL_MANT_DIG); |
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143 SetDblFlag(DBL_EPSILON); |
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144 SetIntFlag(FLT_RADIX); |
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145 SetIntFlag(FLT_ROUNDS); |
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146 #undef SetIntFlag |
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147 #undef SetDblFlag |
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148 |
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149 if (PyErr_Occurred()) { |
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150 Py_CLEAR(floatinfo); |
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151 return NULL; |
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152 } |
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153 return floatinfo; |
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154 } |
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155 |
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156 PyObject * |
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157 PyFloat_FromDouble(double fval) |
| 6 | 158 { |
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159 register PyFloatObject *op; |
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160 if (free_list == NULL) { |
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161 if ((free_list = fill_free_list()) == NULL) |
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162 return NULL; |
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163 } |
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164 /* Inline PyObject_New */ |
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165 op = free_list; |
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166 free_list = (PyFloatObject *)Py_TYPE(op); |
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167 PyObject_INIT(op, &PyFloat_Type); |
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168 op->ob_fval = fval; |
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169 return (PyObject *) op; |
| 6 | 170 } |
| 171 | |
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172 PyObject * |
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173 PyFloat_FromString(PyObject *v) |
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174 { |
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175 const char *s, *last, *end; |
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176 double x; |
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177 PyObject *s_buffer = NULL; |
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178 Py_ssize_t len; |
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179 PyObject *result = NULL; |
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180 |
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181 if (PyUnicode_Check(v)) { |
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182 Py_ssize_t i, buflen = PyUnicode_GET_SIZE(v); |
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183 Py_UNICODE *bufptr; |
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184 s_buffer = PyUnicode_TransformDecimalToASCII( |
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185 PyUnicode_AS_UNICODE(v), buflen); |
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186 if (s_buffer == NULL) |
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187 return NULL; |
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188 /* Replace non-ASCII whitespace with ' ' */ |
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189 bufptr = PyUnicode_AS_UNICODE(s_buffer); |
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190 for (i = 0; i < buflen; i++) { |
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191 Py_UNICODE ch = bufptr[i]; |
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192 if (ch > 127 && Py_UNICODE_ISSPACE(ch)) |
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193 bufptr[i] = ' '; |
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194 } |
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195 s = _PyUnicode_AsStringAndSize(s_buffer, &len); |
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196 if (s == NULL) { |
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197 Py_DECREF(s_buffer); |
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198 return NULL; |
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199 } |
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200 last = s + len; |
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201 } |
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202 else if (PyObject_AsCharBuffer(v, &s, &len)) { |
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203 PyErr_SetString(PyExc_TypeError, |
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204 "float() argument must be a string or a number"); |
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205 return NULL; |
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206 } |
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207 last = s + len; |
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208 /* strip space */ |
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209 while (s < last && Py_ISSPACE(*s)) |
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210 s++; |
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211 while (s < last - 1 && Py_ISSPACE(last[-1])) |
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212 last--; |
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213 /* We don't care about overflow or underflow. If the platform |
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214 * supports them, infinities and signed zeroes (on underflow) are |
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215 * fine. */ |
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216 x = PyOS_string_to_double(s, (char **)&end, NULL); |
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217 if (end != last) { |
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218 PyErr_Format(PyExc_ValueError, |
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219 "could not convert string to float: " |
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220 "%R", v); |
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221 result = NULL; |
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222 } |
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223 else if (x == -1.0 && PyErr_Occurred()) |
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224 result = NULL; |
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225 else |
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226 result = PyFloat_FromDouble(x); |
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227 |
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228 Py_XDECREF(s_buffer); |
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229 return result; |
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230 } |
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231 |
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232 static void |
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233 float_dealloc(PyFloatObject *op) |
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234 { |
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235 if (PyFloat_CheckExact(op)) { |
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236 Py_TYPE(op) = (struct _typeobject *)free_list; |
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237 free_list = op; |
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238 } |
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239 else |
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240 Py_TYPE(op)->tp_free((PyObject *)op); |
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241 } |
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242 |
| 6 | 243 double |
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244 PyFloat_AsDouble(PyObject *op) |
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246 PyNumberMethods *nb; |
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247 PyFloatObject *fo; |
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248 double val; |
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249 |
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250 if (op && PyFloat_Check(op)) |
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251 return PyFloat_AS_DOUBLE((PyFloatObject*) op); |
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252 |
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253 if (op == NULL) { |
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254 PyErr_BadArgument(); |
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255 return -1; |
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256 } |
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257 |
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258 if ((nb = Py_TYPE(op)->tp_as_number) == NULL || nb->nb_float == NULL) { |
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259 PyErr_SetString(PyExc_TypeError, "a float is required"); |
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260 return -1; |
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261 } |
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262 |
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263 fo = (PyFloatObject*) (*nb->nb_float) (op); |
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264 if (fo == NULL) |
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265 return -1; |
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266 if (!PyFloat_Check(fo)) { |
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267 PyErr_SetString(PyExc_TypeError, |
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268 "nb_float should return float object"); |
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269 return -1; |
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270 } |
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271 |
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272 val = PyFloat_AS_DOUBLE(fo); |
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273 Py_DECREF(fo); |
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274 |
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275 return val; |
| 6 | 276 } |
| 277 | |
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278 /* Macro and helper that convert PyObject obj to a C double and store |
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279 the value in dbl. If conversion to double raises an exception, obj is |
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280 set to NULL, and the function invoking this macro returns NULL. If |
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281 obj is not of float, int or long type, Py_NotImplemented is incref'ed, |
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282 stored in obj, and returned from the function invoking this macro. |
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283 */ |
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284 #define CONVERT_TO_DOUBLE(obj, dbl) \ |
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285 if (PyFloat_Check(obj)) \ |
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286 dbl = PyFloat_AS_DOUBLE(obj); \ |
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287 else if (convert_to_double(&(obj), &(dbl)) < 0) \ |
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288 return obj; |
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289 |
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290 /* Methods */ |
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291 |
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292 static int |
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293 convert_to_double(PyObject **v, double *dbl) |
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294 { |
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295 register PyObject *obj = *v; |
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296 |
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297 if (PyLong_Check(obj)) { |
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298 *dbl = PyLong_AsDouble(obj); |
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299 if (*dbl == -1.0 && PyErr_Occurred()) { |
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300 *v = NULL; |
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301 return -1; |
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302 } |
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303 } |
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304 else { |
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305 Py_INCREF(Py_NotImplemented); |
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306 *v = Py_NotImplemented; |
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307 return -1; |
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308 } |
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309 return 0; |
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310 } |
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311 |
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312 static PyObject * |
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313 float_repr(PyFloatObject *v) |
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314 { |
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315 PyObject *result; |
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316 char *buf = PyOS_double_to_string(PyFloat_AS_DOUBLE(v), |
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317 'r', 0, |
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318 Py_DTSF_ADD_DOT_0, |
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319 NULL); |
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320 if (!buf) |
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321 return PyErr_NoMemory(); |
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322 result = PyUnicode_FromString(buf); |
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323 PyMem_Free(buf); |
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324 return result; |
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325 } |
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326 |
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327 /* Comparison is pretty much a nightmare. When comparing float to float, |
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328 * we do it as straightforwardly (and long-windedly) as conceivable, so |
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329 * that, e.g., Python x == y delivers the same result as the platform |
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330 * C x == y when x and/or y is a NaN. |
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331 * When mixing float with an integer type, there's no good *uniform* approach. |
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332 * Converting the double to an integer obviously doesn't work, since we |
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333 * may lose info from fractional bits. Converting the integer to a double |
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334 * also has two failure modes: (1) a long int may trigger overflow (too |
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335 * large to fit in the dynamic range of a C double); (2) even a C long may have |
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336 * more bits than fit in a C double (e.g., on a a 64-bit box long may have |
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337 * 63 bits of precision, but a C double probably has only 53), and then |
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338 * we can falsely claim equality when low-order integer bits are lost by |
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339 * coercion to double. So this part is painful too. |
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340 */ |
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341 |
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342 static PyObject* |
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343 float_richcompare(PyObject *v, PyObject *w, int op) |
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344 { |
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345 double i, j; |
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346 int r = 0; |
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347 |
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348 assert(PyFloat_Check(v)); |
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349 i = PyFloat_AS_DOUBLE(v); |
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350 |
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351 /* Switch on the type of w. Set i and j to doubles to be compared, |
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352 * and op to the richcomp to use. |
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353 */ |
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354 if (PyFloat_Check(w)) |
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355 j = PyFloat_AS_DOUBLE(w); |
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356 |
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357 else if (!Py_IS_FINITE(i)) { |
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358 if (PyLong_Check(w)) |
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359 /* If i is an infinity, its magnitude exceeds any |
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360 * finite integer, so it doesn't matter which int we |
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361 * compare i with. If i is a NaN, similarly. |
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362 */ |
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363 j = 0.0; |
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364 else |
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365 goto Unimplemented; |
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366 } |
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367 |
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368 else if (PyLong_Check(w)) { |
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369 int vsign = i == 0.0 ? 0 : i < 0.0 ? -1 : 1; |
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370 int wsign = _PyLong_Sign(w); |
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371 size_t nbits; |
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372 int exponent; |
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373 |
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374 if (vsign != wsign) { |
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375 /* Magnitudes are irrelevant -- the signs alone |
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376 * determine the outcome. |
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377 */ |
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378 i = (double)vsign; |
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379 j = (double)wsign; |
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380 goto Compare; |
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381 } |
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382 /* The signs are the same. */ |
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383 /* Convert w to a double if it fits. In particular, 0 fits. */ |
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384 nbits = _PyLong_NumBits(w); |
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385 if (nbits == (size_t)-1 && PyErr_Occurred()) { |
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386 /* This long is so large that size_t isn't big enough |
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387 * to hold the # of bits. Replace with little doubles |
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388 * that give the same outcome -- w is so large that |
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389 * its magnitude must exceed the magnitude of any |
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390 * finite float. |
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391 */ |
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392 PyErr_Clear(); |
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393 i = (double)vsign; |
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394 assert(wsign != 0); |
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395 j = wsign * 2.0; |
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396 goto Compare; |
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397 } |
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398 if (nbits <= 48) { |
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399 j = PyLong_AsDouble(w); |
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400 /* It's impossible that <= 48 bits overflowed. */ |
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401 assert(j != -1.0 || ! PyErr_Occurred()); |
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402 goto Compare; |
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403 } |
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404 assert(wsign != 0); /* else nbits was 0 */ |
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405 assert(vsign != 0); /* if vsign were 0, then since wsign is |
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406 * not 0, we would have taken the |
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407 * vsign != wsign branch at the start */ |
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408 /* We want to work with non-negative numbers. */ |
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409 if (vsign < 0) { |
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410 /* "Multiply both sides" by -1; this also swaps the |
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411 * comparator. |
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412 */ |
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413 i = -i; |
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414 op = _Py_SwappedOp[op]; |
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415 } |
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416 assert(i > 0.0); |
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417 (void) frexp(i, &exponent); |
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418 /* exponent is the # of bits in v before the radix point; |
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419 * we know that nbits (the # of bits in w) > 48 at this point |
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420 */ |
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421 if (exponent < 0 || (size_t)exponent < nbits) { |
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422 i = 1.0; |
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423 j = 2.0; |
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424 goto Compare; |
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425 } |
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426 if ((size_t)exponent > nbits) { |
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427 i = 2.0; |
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428 j = 1.0; |
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429 goto Compare; |
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430 } |
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431 /* v and w have the same number of bits before the radix |
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432 * point. Construct two longs that have the same comparison |
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433 * outcome. |
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434 */ |
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435 { |
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436 double fracpart; |
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437 double intpart; |
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438 PyObject *result = NULL; |
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439 PyObject *one = NULL; |
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440 PyObject *vv = NULL; |
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441 PyObject *ww = w; |
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442 |
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443 if (wsign < 0) { |
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444 ww = PyNumber_Negative(w); |
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445 if (ww == NULL) |
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446 goto Error; |
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447 } |
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448 else |
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449 Py_INCREF(ww); |
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Tim Peters <tim.peters@gmail.com>
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450 |
|
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451 fracpart = modf(i, &intpart); |
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452 vv = PyLong_FromDouble(intpart); |
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453 if (vv == NULL) |
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454 goto Error; |
|
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455 |
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456 if (fracpart != 0.0) { |
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457 /* Shift left, and or a 1 bit into vv |
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458 * to represent the lost fraction. |
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459 */ |
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460 PyObject *temp; |
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461 |
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462 one = PyLong_FromLong(1); |
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463 if (one == NULL) |
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464 goto Error; |
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465 |
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466 temp = PyNumber_Lshift(ww, one); |
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467 if (temp == NULL) |
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468 goto Error; |
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469 Py_DECREF(ww); |
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470 ww = temp; |
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471 |
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472 temp = PyNumber_Lshift(vv, one); |
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473 if (temp == NULL) |
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474 goto Error; |
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475 Py_DECREF(vv); |
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476 vv = temp; |
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477 |
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478 temp = PyNumber_Or(vv, one); |
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479 if (temp == NULL) |
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480 goto Error; |
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481 Py_DECREF(vv); |
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482 vv = temp; |
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483 } |
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484 |
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485 r = PyObject_RichCompareBool(vv, ww, op); |
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486 if (r < 0) |
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487 goto Error; |
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488 result = PyBool_FromLong(r); |
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489 Error: |
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490 Py_XDECREF(vv); |
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491 Py_XDECREF(ww); |
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492 Py_XDECREF(one); |
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493 return result; |
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494 } |
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495 } /* else if (PyLong_Check(w)) */ |
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496 |
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497 else /* w isn't float, int, or long */ |
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498 goto Unimplemented; |
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499 |
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500 Compare: |
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501 PyFPE_START_PROTECT("richcompare", return NULL) |
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502 switch (op) { |
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503 case Py_EQ: |
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504 r = i == j; |
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505 break; |
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506 case Py_NE: |
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507 r = i != j; |
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508 break; |
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509 case Py_LE: |
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510 r = i <= j; |
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511 break; |
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512 case Py_GE: |
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513 r = i >= j; |
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514 break; |
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515 case Py_LT: |
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516 r = i < j; |
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517 break; |
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518 case Py_GT: |
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519 r = i > j; |
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520 break; |
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521 } |
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522 PyFPE_END_PROTECT(r) |
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523 return PyBool_FromLong(r); |
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524 |
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525 Unimplemented: |
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526 Py_INCREF(Py_NotImplemented); |
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527 return Py_NotImplemented; |
|
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a6d8d5ace6a7
"Fix" (for certain configurations of the planets, including
Michael W. Hudson <mwh@python.net>
parents:
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528 } |
|
a6d8d5ace6a7
"Fix" (for certain configurations of the planets, including
Michael W. Hudson <mwh@python.net>
parents:
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529 |
|
65494
e8969fb822fc
make hashes always the size of pointers; introduce Py_hash_t #9778
Benjamin Peterson <benjamin@python.org>
parents:
63750
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530 static Py_hash_t |
|
13454
fcc75a3748f5
ANSI-fication of the sources.
Fred Drake <fdrake@acm.org>
parents:
13447
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|
531 float_hash(PyFloatObject *v) |
|
1257
1cabc2b6c970
* Changed all copyright messages to include 1993.
Guido van Rossum <guido@python.org>
parents:
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532 { |
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533 return _Py_HashDouble(v->ob_fval); |
|
1257
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* Changed all copyright messages to include 1993.
Guido van Rossum <guido@python.org>
parents:
1252
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534 } |
|
1cabc2b6c970
* Changed all copyright messages to include 1993.
Guido van Rossum <guido@python.org>
parents:
1252
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535 |
|
5396
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Guido van Rossum <guido@python.org>
parents:
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536 static PyObject * |
|
15723
ac7ae3ead88a
Make float a new style number type.
Neil Schemenauer <nascheme@enme.ucalgary.ca>
parents:
15318
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537 float_add(PyObject *v, PyObject *w) |
| 6 | 538 { |
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539 double a,b; |
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540 CONVERT_TO_DOUBLE(v, a); |
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541 CONVERT_TO_DOUBLE(w, b); |
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542 PyFPE_START_PROTECT("add", return 0) |
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543 a = a + b; |
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544 PyFPE_END_PROTECT(a) |
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545 return PyFloat_FromDouble(a); |
| 6 | 546 } |
| 547 | |
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548 static PyObject * |
|
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Make float a new style number type.
Neil Schemenauer <nascheme@enme.ucalgary.ca>
parents:
15318
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549 float_sub(PyObject *v, PyObject *w) |
| 6 | 550 { |
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551 double a,b; |
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552 CONVERT_TO_DOUBLE(v, a); |
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553 CONVERT_TO_DOUBLE(w, b); |
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554 PyFPE_START_PROTECT("subtract", return 0) |
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555 a = a - b; |
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556 PyFPE_END_PROTECT(a) |
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557 return PyFloat_FromDouble(a); |
| 6 | 558 } |
| 559 | |
|
5396
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560 static PyObject * |
|
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Neil Schemenauer <nascheme@enme.ucalgary.ca>
parents:
15318
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561 float_mul(PyObject *v, PyObject *w) |
| 6 | 562 { |
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563 double a,b; |
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564 CONVERT_TO_DOUBLE(v, a); |
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565 CONVERT_TO_DOUBLE(w, b); |
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566 PyFPE_START_PROTECT("multiply", return 0) |
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567 a = a * b; |
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568 PyFPE_END_PROTECT(a) |
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569 return PyFloat_FromDouble(a); |
| 6 | 570 } |
| 571 | |
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572 static PyObject * |
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573 float_div(PyObject *v, PyObject *w) |
| 6 | 574 { |
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575 double a,b; |
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576 CONVERT_TO_DOUBLE(v, a); |
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577 CONVERT_TO_DOUBLE(w, b); |
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578 if (b == 0.0) { |
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579 PyErr_SetString(PyExc_ZeroDivisionError, |
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580 "float division by zero"); |
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581 return NULL; |
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582 } |
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583 PyFPE_START_PROTECT("divide", return 0) |
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584 a = a / b; |
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585 PyFPE_END_PROTECT(a) |
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586 return PyFloat_FromDouble(a); |
| 6 | 587 } |
| 588 | |
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589 static PyObject * |
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590 float_rem(PyObject *v, PyObject *w) |
| 6 | 591 { |
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592 double vx, wx; |
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593 double mod; |
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594 CONVERT_TO_DOUBLE(v, vx); |
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595 CONVERT_TO_DOUBLE(w, wx); |
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596 if (wx == 0.0) { |
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597 PyErr_SetString(PyExc_ZeroDivisionError, |
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598 "float modulo"); |
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599 return NULL; |
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600 } |
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601 PyFPE_START_PROTECT("modulo", return 0) |
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602 mod = fmod(vx, wx); |
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603 if (mod) { |
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604 /* ensure the remainder has the same sign as the denominator */ |
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605 if ((wx < 0) != (mod < 0)) { |
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606 mod += wx; |
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607 } |
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608 } |
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609 else { |
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610 /* the remainder is zero, and in the presence of signed zeroes |
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611 fmod returns different results across platforms; ensure |
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612 it has the same sign as the denominator. */ |
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613 mod = copysign(0.0, wx); |
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614 } |
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615 PyFPE_END_PROTECT(mod) |
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616 return PyFloat_FromDouble(mod); |
| 6 | 617 } |
| 618 | |
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619 static PyObject * |
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620 float_divmod(PyObject *v, PyObject *w) |
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621 { |
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622 double vx, wx; |
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623 double div, mod, floordiv; |
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624 CONVERT_TO_DOUBLE(v, vx); |
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625 CONVERT_TO_DOUBLE(w, wx); |
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626 if (wx == 0.0) { |
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627 PyErr_SetString(PyExc_ZeroDivisionError, "float divmod()"); |
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628 return NULL; |
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629 } |
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630 PyFPE_START_PROTECT("divmod", return 0) |
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631 mod = fmod(vx, wx); |
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632 /* fmod is typically exact, so vx-mod is *mathematically* an |
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633 exact multiple of wx. But this is fp arithmetic, and fp |
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634 vx - mod is an approximation; the result is that div may |
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635 not be an exact integral value after the division, although |
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636 it will always be very close to one. |
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637 */ |
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638 div = (vx - mod) / wx; |
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639 if (mod) { |
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640 /* ensure the remainder has the same sign as the denominator */ |
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641 if ((wx < 0) != (mod < 0)) { |
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642 mod += wx; |
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643 div -= 1.0; |
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644 } |
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645 } |
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646 else { |
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647 /* the remainder is zero, and in the presence of signed zeroes |
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648 fmod returns different results across platforms; ensure |
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649 it has the same sign as the denominator. */ |
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650 mod = copysign(0.0, wx); |
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651 } |
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652 /* snap quotient to nearest integral value */ |
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653 if (div) { |
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654 floordiv = floor(div); |
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655 if (div - floordiv > 0.5) |
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656 floordiv += 1.0; |
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657 } |
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658 else { |
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659 /* div is zero - get the same sign as the true quotient */ |
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660 floordiv = copysign(0.0, vx / wx); /* zero w/ sign of vx/wx */ |
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661 } |
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662 PyFPE_END_PROTECT(floordiv) |
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663 return Py_BuildValue("(dd)", floordiv, mod); |
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664 } |
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665 |
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666 static PyObject * |
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667 float_floor_div(PyObject *v, PyObject *w) |
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668 { |
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669 PyObject *t, *r; |
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670 |
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671 t = float_divmod(v, w); |
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672 if (t == NULL || t == Py_NotImplemented) |
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673 return t; |
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674 assert(PyTuple_CheckExact(t)); |
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675 r = PyTuple_GET_ITEM(t, 0); |
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676 Py_INCREF(r); |
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677 Py_DECREF(t); |
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678 return r; |
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679 } |
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680 |
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681 /* determine whether x is an odd integer or not; assumes that |
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682 x is not an infinity or nan. */ |
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683 #define DOUBLE_IS_ODD_INTEGER(x) (fmod(fabs(x), 2.0) == 1.0) |
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684 |
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685 static PyObject * |
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686 float_pow(PyObject *v, PyObject *w, PyObject *z) |
| 6 | 687 { |
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688 double iv, iw, ix; |
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689 int negate_result = 0; |
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690 |
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691 if ((PyObject *)z != Py_None) { |
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692 PyErr_SetString(PyExc_TypeError, "pow() 3rd argument not " |
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693 "allowed unless all arguments are integers"); |
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694 return NULL; |
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695 } |
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696 |
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697 CONVERT_TO_DOUBLE(v, iv); |
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698 CONVERT_TO_DOUBLE(w, iw); |
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699 |
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700 /* Sort out special cases here instead of relying on pow() */ |
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701 if (iw == 0) { /* v**0 is 1, even 0**0 */ |
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702 return PyFloat_FromDouble(1.0); |
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703 } |
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704 if (Py_IS_NAN(iv)) { /* nan**w = nan, unless w == 0 */ |
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705 return PyFloat_FromDouble(iv); |
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706 } |
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707 if (Py_IS_NAN(iw)) { /* v**nan = nan, unless v == 1; 1**nan = 1 */ |
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708 return PyFloat_FromDouble(iv == 1.0 ? 1.0 : iw); |
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709 } |
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710 if (Py_IS_INFINITY(iw)) { |
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711 /* v**inf is: 0.0 if abs(v) < 1; 1.0 if abs(v) == 1; inf if |
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712 * abs(v) > 1 (including case where v infinite) |
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713 * |
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714 * v**-inf is: inf if abs(v) < 1; 1.0 if abs(v) == 1; 0.0 if |
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715 * abs(v) > 1 (including case where v infinite) |
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716 */ |
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717 iv = fabs(iv); |
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718 if (iv == 1.0) |
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719 return PyFloat_FromDouble(1.0); |
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720 else if ((iw > 0.0) == (iv > 1.0)) |
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721 return PyFloat_FromDouble(fabs(iw)); /* return inf */ |
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722 else |
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723 return PyFloat_FromDouble(0.0); |
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724 } |
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725 if (Py_IS_INFINITY(iv)) { |
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726 /* (+-inf)**w is: inf for w positive, 0 for w negative; in |
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727 * both cases, we need to add the appropriate sign if w is |
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728 * an odd integer. |
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729 */ |
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730 int iw_is_odd = DOUBLE_IS_ODD_INTEGER(iw); |
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731 if (iw > 0.0) |
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732 return PyFloat_FromDouble(iw_is_odd ? iv : fabs(iv)); |
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733 else |
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734 return PyFloat_FromDouble(iw_is_odd ? |
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735 copysign(0.0, iv) : 0.0); |
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736 } |
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737 if (iv == 0.0) { /* 0**w is: 0 for w positive, 1 for w zero |
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738 (already dealt with above), and an error |
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739 if w is negative. */ |
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740 int iw_is_odd = DOUBLE_IS_ODD_INTEGER(iw); |
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741 if (iw < 0.0) { |
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742 PyErr_SetString(PyExc_ZeroDivisionError, |
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743 "0.0 cannot be raised to a " |
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744 "negative power"); |
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745 return NULL; |
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746 } |
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747 /* use correct sign if iw is odd */ |
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748 return PyFloat_FromDouble(iw_is_odd ? iv : 0.0); |
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749 } |
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750 |
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751 if (iv < 0.0) { |
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752 /* Whether this is an error is a mess, and bumps into libm |
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753 * bugs so we have to figure it out ourselves. |
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754 */ |
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755 if (iw != floor(iw)) { |
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756 /* Negative numbers raised to fractional powers |
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757 * become complex. |
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758 */ |
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759 return PyComplex_Type.tp_as_number->nb_power(v, w, z); |
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760 } |
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761 /* iw is an exact integer, albeit perhaps a very large |
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762 * one. Replace iv by its absolute value and remember |
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763 * to negate the pow result if iw is odd. |
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764 */ |
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765 iv = -iv; |
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766 negate_result = DOUBLE_IS_ODD_INTEGER(iw); |
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767 } |
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768 |
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769 if (iv == 1.0) { /* 1**w is 1, even 1**inf and 1**nan */ |
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770 /* (-1) ** large_integer also ends up here. Here's an |
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771 * extract from the comments for the previous |
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772 * implementation explaining why this special case is |
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773 * necessary: |
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774 * |
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775 * -1 raised to an exact integer should never be exceptional. |
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776 * Alas, some libms (chiefly glibc as of early 2003) return |
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777 * NaN and set EDOM on pow(-1, large_int) if the int doesn't |
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778 * happen to be representable in a *C* integer. That's a |
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779 * bug. |
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780 */ |
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781 return PyFloat_FromDouble(negate_result ? -1.0 : 1.0); |
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782 } |
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783 |
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784 /* Now iv and iw are finite, iw is nonzero, and iv is |
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785 * positive and not equal to 1.0. We finally allow |
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786 * the platform pow to step in and do the rest. |
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787 */ |
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788 errno = 0; |
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789 PyFPE_START_PROTECT("pow", return NULL) |
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790 ix = pow(iv, iw); |
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791 PyFPE_END_PROTECT(ix) |
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792 Py_ADJUST_ERANGE1(ix); |
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793 if (negate_result) |
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794 ix = -ix; |
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795 |
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796 if (errno != 0) { |
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797 /* We don't expect any errno value other than ERANGE, but |
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798 * the range of libm bugs appears unbounded. |
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799 */ |
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800 PyErr_SetFromErrno(errno == ERANGE ? PyExc_OverflowError : |
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801 PyExc_ValueError); |
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802 return NULL; |
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803 } |
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804 return PyFloat_FromDouble(ix); |
| 6 | 805 } |
| 806 | |
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807 #undef DOUBLE_IS_ODD_INTEGER |
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808 |
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809 static PyObject * |
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810 float_neg(PyFloatObject *v) |
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812 return PyFloat_FromDouble(-v->ob_fval); |
| 6 | 813 } |
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815 static PyObject * |
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816 float_abs(PyFloatObject *v) |
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817 { |
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818 return PyFloat_FromDouble(fabs(v->ob_fval)); |
| 6 | 819 } |
| 820 | |
| 239 | 821 static int |
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822 float_bool(PyFloatObject *v) |
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824 return v->ob_fval != 0.0; |
| 239 | 825 } |
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827 static PyObject * |
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828 float_is_integer(PyObject *v) |
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829 { |
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830 double x = PyFloat_AsDouble(v); |
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831 PyObject *o; |
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832 |
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833 if (x == -1.0 && PyErr_Occurred()) |
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834 return NULL; |
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835 if (!Py_IS_FINITE(x)) |
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836 Py_RETURN_FALSE; |
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837 errno = 0; |
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838 PyFPE_START_PROTECT("is_integer", return NULL) |
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839 o = (floor(x) == x) ? Py_True : Py_False; |
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840 PyFPE_END_PROTECT(x) |
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841 if (errno != 0) { |
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842 PyErr_SetFromErrno(errno == ERANGE ? PyExc_OverflowError : |
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843 PyExc_ValueError); |
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844 return NULL; |
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845 } |
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846 Py_INCREF(o); |
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847 return o; |
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848 } |
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849 |
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850 #if 0 |
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851 static PyObject * |
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852 float_is_inf(PyObject *v) |
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853 { |
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854 double x = PyFloat_AsDouble(v); |
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855 if (x == -1.0 && PyErr_Occurred()) |
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856 return NULL; |
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857 return PyBool_FromLong((long)Py_IS_INFINITY(x)); |
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858 } |
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859 |
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860 static PyObject * |
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861 float_is_nan(PyObject *v) |
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862 { |
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863 double x = PyFloat_AsDouble(v); |
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864 if (x == -1.0 && PyErr_Occurred()) |
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865 return NULL; |
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866 return PyBool_FromLong((long)Py_IS_NAN(x)); |
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867 } |
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868 |
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869 static PyObject * |
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870 float_is_finite(PyObject *v) |
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871 { |
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872 double x = PyFloat_AsDouble(v); |
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873 if (x == -1.0 && PyErr_Occurred()) |
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874 return NULL; |
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875 return PyBool_FromLong((long)Py_IS_FINITE(x)); |
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876 } |
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877 #endif |
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878 |
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879 static PyObject * |
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880 float_trunc(PyObject *v) |
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881 { |
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882 double x = PyFloat_AsDouble(v); |
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883 double wholepart; /* integral portion of x, rounded toward 0 */ |
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884 |
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885 (void)modf(x, &wholepart); |
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886 /* Try to get out cheap if this fits in a Python int. The attempt |
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887 * to cast to long must be protected, as C doesn't define what |
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888 * happens if the double is too big to fit in a long. Some rare |
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889 * systems raise an exception then (RISCOS was mentioned as one, |
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890 * and someone using a non-default option on Sun also bumped into |
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891 * that). Note that checking for >= and <= LONG_{MIN,MAX} would |
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892 * still be vulnerable: if a long has more bits of precision than |
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893 * a double, casting MIN/MAX to double may yield an approximation, |
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894 * and if that's rounded up, then, e.g., wholepart=LONG_MAX+1 would |
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895 * yield true from the C expression wholepart<=LONG_MAX, despite |
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896 * that wholepart is actually greater than LONG_MAX. |
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897 */ |
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898 if (LONG_MIN < wholepart && wholepart < LONG_MAX) { |
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899 const long aslong = (long)wholepart; |
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900 return PyLong_FromLong(aslong); |
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901 } |
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902 return PyLong_FromDouble(wholepart); |
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903 } |
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905 /* double_round: rounds a finite double to the closest multiple of |
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906 10**-ndigits; here ndigits is within reasonable bounds (typically, -308 <= |
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907 ndigits <= 323). Returns a Python float, or sets a Python error and |
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908 returns NULL on failure (OverflowError and memory errors are possible). */ |
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909 |
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910 #ifndef PY_NO_SHORT_FLOAT_REPR |
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911 /* version of double_round that uses the correctly-rounded string<->double |
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912 conversions from Python/dtoa.c */ |
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913 |
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914 static PyObject * |
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915 double_round(double x, int ndigits) { |
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916 |
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917 double rounded; |
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918 Py_ssize_t buflen, mybuflen=100; |
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919 char *buf, *buf_end, shortbuf[100], *mybuf=shortbuf; |
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920 int decpt, sign; |
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921 PyObject *result = NULL; |
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922 |
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923 /* round to a decimal string */ |
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924 buf = _Py_dg_dtoa(x, 3, ndigits, &decpt, &sign, &buf_end); |
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925 if (buf == NULL) { |
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926 PyErr_NoMemory(); |
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927 return NULL; |
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928 } |
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929 |
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930 /* Get new buffer if shortbuf is too small. Space needed <= buf_end - |
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931 buf + 8: (1 extra for '0', 1 for sign, 5 for exp, 1 for '\0'). */ |
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932 buflen = buf_end - buf; |
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933 if (buflen + 8 > mybuflen) { |
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934 mybuflen = buflen+8; |
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935 mybuf = (char *)PyMem_Malloc(mybuflen); |
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936 if (mybuf == NULL) { |
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937 PyErr_NoMemory(); |
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938 goto exit; |
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939 } |
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940 } |
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941 /* copy buf to mybuf, adding exponent, sign and leading 0 */ |
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942 PyOS_snprintf(mybuf, mybuflen, "%s0%se%d", (sign ? "-" : ""), |
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943 buf, decpt - (int)buflen); |
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944 |
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945 /* and convert the resulting string back to a double */ |
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946 errno = 0; |
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947 rounded = _Py_dg_strtod(mybuf, NULL); |
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948 if (errno == ERANGE && fabs(rounded) >= 1.) |
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949 PyErr_SetString(PyExc_OverflowError, |
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950 "rounded value too large to represent"); |
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951 else |
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952 result = PyFloat_FromDouble(rounded); |
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953 |
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954 /* done computing value; now clean up */ |
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955 if (mybuf != shortbuf) |
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956 PyMem_Free(mybuf); |
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957 exit: |
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958 _Py_dg_freedtoa(buf); |
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959 return result; |
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960 } |
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961 |
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962 #else /* PY_NO_SHORT_FLOAT_REPR */ |
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963 |
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964 /* fallback version, to be used when correctly rounded binary<->decimal |
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965 conversions aren't available */ |
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966 |
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967 static PyObject * |
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968 double_round(double x, int ndigits) { |
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969 double pow1, pow2, y, z; |
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970 if (ndigits >= 0) { |
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971 if (ndigits > 22) { |
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972 /* pow1 and pow2 are each safe from overflow, but |
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973 pow1*pow2 ~= pow(10.0, ndigits) might overflow */ |
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974 pow1 = pow(10.0, (double)(ndigits-22)); |
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975 pow2 = 1e22; |
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976 } |
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977 else { |
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978 pow1 = pow(10.0, (double)ndigits); |
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979 pow2 = 1.0; |
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980 } |
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981 y = (x*pow1)*pow2; |
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982 /* if y overflows, then rounded value is exactly x */ |
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983 if (!Py_IS_FINITE(y)) |
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984 return PyFloat_FromDouble(x); |
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985 } |
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986 else { |
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987 pow1 = pow(10.0, (double)-ndigits); |
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988 pow2 = 1.0; /* unused; silences a gcc compiler warning */ |
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989 y = x / pow1; |
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990 } |
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991 |
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992 z = round(y); |
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993 if (fabs(y-z) == 0.5) |
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994 /* halfway between two integers; use round-half-even */ |
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995 z = 2.0*round(y/2.0); |
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996 |
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997 if (ndigits >= 0) |
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998 z = (z / pow2) / pow1; |
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999 else |
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1000 z *= pow1; |
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1001 |
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1002 /* if computation resulted in overflow, raise OverflowError */ |
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1003 if (!Py_IS_FINITE(z)) { |
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1004 PyErr_SetString(PyExc_OverflowError, |
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1005 "overflow occurred during round"); |
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1006 return NULL; |
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1007 } |
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1008 |
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1009 return PyFloat_FromDouble(z); |
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1010 } |
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1011 |
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1012 #endif /* PY_NO_SHORT_FLOAT_REPR */ |
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1013 |
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1014 /* round a Python float v to the closest multiple of 10**-ndigits */ |
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1015 |
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1016 static PyObject * |
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1017 float_round(PyObject *v, PyObject *args) |
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1018 { |
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1019 double x, rounded; |
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1020 PyObject *o_ndigits = NULL; |
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1021 Py_ssize_t ndigits; |
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1022 |
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1023 x = PyFloat_AsDouble(v); |
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1024 if (!PyArg_ParseTuple(args, "|O", &o_ndigits)) |
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1025 return NULL; |
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1026 if (o_ndigits == NULL) { |
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1027 /* single-argument round: round to nearest integer */ |
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1028 rounded = round(x); |
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1029 if (fabs(x-rounded) == 0.5) |
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1030 /* halfway case: round to even */ |
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1031 rounded = 2.0*round(x/2.0); |
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1032 return PyLong_FromDouble(rounded); |
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1033 } |
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1034 |
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1035 /* interpret second argument as a Py_ssize_t; clips on overflow */ |
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1036 ndigits = PyNumber_AsSsize_t(o_ndigits, NULL); |
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1037 if (ndigits == -1 && PyErr_Occurred()) |
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1038 return NULL; |
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1039 |
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1040 /* nans and infinities round to themselves */ |
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1041 if (!Py_IS_FINITE(x)) |
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1042 return PyFloat_FromDouble(x); |
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1043 |
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1044 /* Deal with extreme values for ndigits. For ndigits > NDIGITS_MAX, x |
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1045 always rounds to itself. For ndigits < NDIGITS_MIN, x always |
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1046 rounds to +-0.0. Here 0.30103 is an upper bound for log10(2). */ |
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1047 #define NDIGITS_MAX ((int)((DBL_MANT_DIG-DBL_MIN_EXP) * 0.30103)) |
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1048 #define NDIGITS_MIN (-(int)((DBL_MAX_EXP + 1) * 0.30103)) |
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1049 if (ndigits > NDIGITS_MAX) |
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1050 /* return x */ |
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1051 return PyFloat_FromDouble(x); |
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1052 else if (ndigits < NDIGITS_MIN) |
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1053 /* return 0.0, but with sign of x */ |
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1054 return PyFloat_FromDouble(0.0*x); |
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1055 else |
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1056 /* finite x, and ndigits is not unreasonably large */ |
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1057 return double_round(x, (int)ndigits); |
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1058 #undef NDIGITS_MAX |
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1059 #undef NDIGITS_MIN |
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1060 } |
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1061 |
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1062 static PyObject * |
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1063 float_float(PyObject *v) |
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1064 { |
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1065 if (PyFloat_CheckExact(v)) |
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1066 Py_INCREF(v); |
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1067 else |
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1068 v = PyFloat_FromDouble(((PyFloatObject *)v)->ob_fval); |
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1069 return v; |
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1070 } |
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1071 |
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1072 /* turn ASCII hex characters into integer values and vice versa */ |
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1073 |
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1074 static char |
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1075 char_from_hex(int x) |
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1076 { |
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1077 assert(0 <= x && x < 16); |
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1078 return "0123456789abcdef"[x]; |
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1079 } |
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1080 |
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1081 static int |
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1082 hex_from_char(char c) { |
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1083 int x; |
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1084 switch(c) { |
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1085 case '0': |
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1086 x = 0; |
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1087 break; |
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1088 case '1': |
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1089 x = 1; |
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1090 break; |
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1091 case '2': |
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1092 x = 2; |
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1093 break; |
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1094 case '3': |
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1095 x = 3; |
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1096 break; |
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1097 case '4': |
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1098 x = 4; |
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1099 break; |
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1100 case '5': |
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1101 x = 5; |
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1103 case '6': |
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1104 x = 6; |
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1106 case '7': |
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1107 x = 7; |
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1109 case '8': |
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1112 case '9': |
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1113 x = 9; |
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1115 case 'a': |
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1116 case 'A': |
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1117 x = 10; |
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1119 case 'b': |
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1120 case 'B': |
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1121 x = 11; |
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1122 break; |
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1123 case 'c': |
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1124 case 'C': |
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1125 x = 12; |
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1126 break; |
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1127 case 'd': |
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1128 case 'D': |
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1129 x = 13; |
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1130 break; |
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1131 case 'e': |
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1132 case 'E': |
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1133 x = 14; |
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1134 break; |
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1135 case 'f': |
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1136 case 'F': |
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1137 x = 15; |
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1138 break; |
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1139 default: |
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1140 x = -1; |
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1142 } |
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1143 return x; |
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1144 } |
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1145 |
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1146 /* convert a float to a hexadecimal string */ |
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1147 |
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1148 /* TOHEX_NBITS is DBL_MANT_DIG rounded up to the next integer |
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1149 of the form 4k+1. */ |
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1150 #define TOHEX_NBITS DBL_MANT_DIG + 3 - (DBL_MANT_DIG+2)%4 |
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1151 |
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1152 static PyObject * |
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1153 float_hex(PyObject *v) |
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1154 { |
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1155 double x, m; |
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1156 int e, shift, i, si, esign; |
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1157 /* Space for 1+(TOHEX_NBITS-1)/4 digits, a decimal point, and the |
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1158 trailing NUL byte. */ |
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1159 char s[(TOHEX_NBITS-1)/4+3]; |
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1160 |
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1161 CONVERT_TO_DOUBLE(v, x); |
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1162 |
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1163 if (Py_IS_NAN(x) || Py_IS_INFINITY(x)) |
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1164 return float_repr((PyFloatObject *)v); |
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1165 |
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1166 if (x == 0.0) { |
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1167 if (copysign(1.0, x) == -1.0) |
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1168 return PyUnicode_FromString("-0x0.0p+0"); |
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1169 else |
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1170 return PyUnicode_FromString("0x0.0p+0"); |
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1171 } |
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1172 |
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1173 m = frexp(fabs(x), &e); |
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1174 shift = 1 - MAX(DBL_MIN_EXP - e, 0); |
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1175 m = ldexp(m, shift); |
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1176 e -= shift; |
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1177 |
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1178 si = 0; |
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1179 s[si] = char_from_hex((int)m); |
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1180 si++; |
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1181 m -= (int)m; |
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1182 s[si] = '.'; |
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1183 si++; |
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1184 for (i=0; i < (TOHEX_NBITS-1)/4; i++) { |
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1185 m *= 16.0; |
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1186 s[si] = char_from_hex((int)m); |
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1187 si++; |
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1188 m -= (int)m; |
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1189 } |
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1190 s[si] = '\0'; |
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1191 |
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1192 if (e < 0) { |
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1193 esign = (int)'-'; |
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1194 e = -e; |
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1195 } |
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1196 else |
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1197 esign = (int)'+'; |
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1198 |
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1199 if (x < 0.0) |
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1200 return PyUnicode_FromFormat("-0x%sp%c%d", s, esign, e); |
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1201 else |
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1202 return PyUnicode_FromFormat("0x%sp%c%d", s, esign, e); |
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1203 } |
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1204 |
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1205 PyDoc_STRVAR(float_hex_doc, |
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1206 "float.hex() -> string\n\ |
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1207 \n\ |
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1208 Return a hexadecimal representation of a floating-point number.\n\ |
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1209 >>> (-0.1).hex()\n\ |
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1210 '-0x1.999999999999ap-4'\n\ |
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1211 >>> 3.14159.hex()\n\ |
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1212 '0x1.921f9f01b866ep+1'"); |
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1213 |
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1214 /* Convert a hexadecimal string to a float. */ |
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1215 |
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1216 static PyObject * |
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1217 float_fromhex(PyObject *cls, PyObject *arg) |
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1218 { |
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1219 PyObject *result_as_float, *result; |
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1220 double x; |
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1221 long exp, top_exp, lsb, key_digit; |
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1222 char *s, *coeff_start, *s_store, *coeff_end, *exp_start, *s_end; |
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1223 int half_eps, digit, round_up, negate=0; |
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1224 Py_ssize_t length, ndigits, fdigits, i; |
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1225 |
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1226 /* |
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1227 * For the sake of simplicity and correctness, we impose an artificial |
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1228 * limit on ndigits, the total number of hex digits in the coefficient |
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1229 * The limit is chosen to ensure that, writing exp for the exponent, |
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1230 * |
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1231 * (1) if exp > LONG_MAX/2 then the value of the hex string is |
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1232 * guaranteed to overflow (provided it's nonzero) |
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1233 * |
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1234 * (2) if exp < LONG_MIN/2 then the value of the hex string is |
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1235 * guaranteed to underflow to 0. |
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1236 * |
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1237 * (3) if LONG_MIN/2 <= exp <= LONG_MAX/2 then there's no danger of |
|
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1238 * overflow in the calculation of exp and top_exp below. |
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1239 * |
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1240 * More specifically, ndigits is assumed to satisfy the following |
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1241 * inequalities: |
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1242 * |
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1243 * 4*ndigits <= DBL_MIN_EXP - DBL_MANT_DIG - LONG_MIN/2 |
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1244 * 4*ndigits <= LONG_MAX/2 + 1 - DBL_MAX_EXP |
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1245 * |
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1246 * If either of these inequalities is not satisfied, a ValueError is |
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1247 * raised. Otherwise, write x for the value of the hex string, and |
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1248 * assume x is nonzero. Then |
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1249 * |
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1250 * 2**(exp-4*ndigits) <= |x| < 2**(exp+4*ndigits). |
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1251 * |
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1252 * Now if exp > LONG_MAX/2 then: |
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1253 * |
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1254 * exp - 4*ndigits >= LONG_MAX/2 + 1 - (LONG_MAX/2 + 1 - DBL_MAX_EXP) |
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1255 * = DBL_MAX_EXP |
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1256 * |
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1257 * so |x| >= 2**DBL_MAX_EXP, which is too large to be stored in C |
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1258 * double, so overflows. If exp < LONG_MIN/2, then |
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1259 * |
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1260 * exp + 4*ndigits <= LONG_MIN/2 - 1 + ( |
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1261 * DBL_MIN_EXP - DBL_MANT_DIG - LONG_MIN/2) |
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1262 * = DBL_MIN_EXP - DBL_MANT_DIG - 1 |
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1263 * |
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1264 * and so |x| < 2**(DBL_MIN_EXP-DBL_MANT_DIG-1), hence underflows to 0 |
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1265 * when converted to a C double. |
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1266 * |
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1267 * It's easy to show that if LONG_MIN/2 <= exp <= LONG_MAX/2 then both |
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1268 * exp+4*ndigits and exp-4*ndigits are within the range of a long. |
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1269 */ |
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1270 |
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1271 s = _PyUnicode_AsStringAndSize(arg, &length); |
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1272 if (s == NULL) |
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1273 return NULL; |
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1274 s_end = s + length; |
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1275 |
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1276 /******************** |
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1277 * Parse the string * |
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1278 ********************/ |
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1279 |
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1280 /* leading whitespace */ |
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1281 while (Py_ISSPACE(*s)) |
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1282 s++; |
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1283 |
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1284 /* infinities and nans */ |
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1285 x = _Py_parse_inf_or_nan(s, &coeff_end); |
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1286 if (coeff_end != s) { |
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1287 s = coeff_end; |
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1288 goto finished; |
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1289 } |
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1290 |
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1291 /* optional sign */ |
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1292 if (*s == '-') { |
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1293 s++; |
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1294 negate = 1; |
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1295 } |
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1296 else if (*s == '+') |
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1297 s++; |
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1298 |
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1299 /* [0x] */ |
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1300 s_store = s; |
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1301 if (*s == '0') { |
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1302 s++; |
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1303 if (*s == 'x' || *s == 'X') |
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1304 s++; |
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1305 else |
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1306 s = s_store; |
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1307 } |
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1308 |
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1309 /* coefficient: <integer> [. <fraction>] */ |
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1310 coeff_start = s; |
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1311 while (hex_from_char(*s) >= 0) |
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1312 s++; |
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1313 s_store = s; |
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1314 if (*s == '.') { |
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1315 s++; |
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1316 while (hex_from_char(*s) >= 0) |
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1317 s++; |
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1318 coeff_end = s-1; |
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1319 } |
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1320 else |
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1321 coeff_end = s; |
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1322 |
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1323 /* ndigits = total # of hex digits; fdigits = # after point */ |
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1324 ndigits = coeff_end - coeff_start; |
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1325 fdigits = coeff_end - s_store; |
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1326 if (ndigits == 0) |
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1327 goto parse_error; |
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1328 if (ndigits > MIN(DBL_MIN_EXP - DBL_MANT_DIG - LONG_MIN/2, |
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1329 LONG_MAX/2 + 1 - DBL_MAX_EXP)/4) |
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1330 goto insane_length_error; |
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1331 |
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1332 /* [p <exponent>] */ |
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1333 if (*s == 'p' || *s == 'P') { |
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1334 s++; |
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1335 exp_start = s; |
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1336 if (*s == '-' || *s == '+') |
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1337 s++; |
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1338 if (!('0' <= *s && *s <= '9')) |
|
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|
1339 goto parse_error; |
|
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|
1340 s++; |
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|
1341 while ('0' <= *s && *s <= '9') |
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|
1342 s++; |
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|
1343 exp = strtol(exp_start, NULL, 10); |
|
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|
1344 } |
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|
1345 else |
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|
1346 exp = 0; |
|
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|
1347 |
|
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|
1348 /* for 0 <= j < ndigits, HEX_DIGIT(j) gives the jth most significant digit */ |
|
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|
1349 #define HEX_DIGIT(j) hex_from_char(*((j) < fdigits ? \ |
|
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|
1350 coeff_end-(j) : \ |
|
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|
1351 coeff_end-1-(j))) |
|
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|
1352 |
|
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|
1353 /******************************************* |
|
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|
1354 * Compute rounded value of the hex string * |
|
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|
1355 *******************************************/ |
|
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|
1356 |
|
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|
1357 /* Discard leading zeros, and catch extreme overflow and underflow */ |
|
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|
1358 while (ndigits > 0 && HEX_DIGIT(ndigits-1) == 0) |
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|
1359 ndigits--; |
|
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1360 if (ndigits == 0 || exp < LONG_MIN/2) { |
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1361 x = 0.0; |
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|
1362 goto finished; |
|
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1363 } |
|
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|
1364 if (exp > LONG_MAX/2) |
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|
1365 goto overflow_error; |
|
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|
1366 |
|
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|
1367 /* Adjust exponent for fractional part. */ |
|
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1368 exp = exp - 4*((long)fdigits); |
|
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1369 |
|
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1370 /* top_exp = 1 more than exponent of most sig. bit of coefficient */ |
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1371 top_exp = exp + 4*((long)ndigits - 1); |
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1372 for (digit = HEX_DIGIT(ndigits-1); digit != 0; digit /= 2) |
|
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1373 top_exp++; |
|
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|
1374 |
|
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|
1375 /* catch almost all nonextreme cases of overflow and underflow here */ |
|
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1376 if (top_exp < DBL_MIN_EXP - DBL_MANT_DIG) { |
|
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1377 x = 0.0; |
|
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|
1378 goto finished; |
|
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1379 } |
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1380 if (top_exp > DBL_MAX_EXP) |
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|
1381 goto overflow_error; |
|
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|
1382 |
|
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1383 /* lsb = exponent of least significant bit of the *rounded* value. |
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1384 This is top_exp - DBL_MANT_DIG unless result is subnormal. */ |
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1385 lsb = MAX(top_exp, (long)DBL_MIN_EXP) - DBL_MANT_DIG; |
|
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|
1386 |
|
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|
1387 x = 0.0; |
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|
1388 if (exp >= lsb) { |
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|
1389 /* no rounding required */ |
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1390 for (i = ndigits-1; i >= 0; i--) |
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1391 x = 16.0*x + HEX_DIGIT(i); |
|
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1392 x = ldexp(x, (int)(exp)); |
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|
1393 goto finished; |
|
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|
1394 } |
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|
1395 /* rounding required. key_digit is the index of the hex digit |
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|
1396 containing the first bit to be rounded away. */ |
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|
1397 half_eps = 1 << (int)((lsb - exp - 1) % 4); |
|
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|
1398 key_digit = (lsb - exp - 1) / 4; |
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1399 for (i = ndigits-1; i > key_digit; i--) |
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|
1400 x = 16.0*x + HEX_DIGIT(i); |
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1401 digit = HEX_DIGIT(key_digit); |
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1402 x = 16.0*x + (double)(digit & (16-2*half_eps)); |
|
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|
1403 |
|
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|
1404 /* round-half-even: round up if bit lsb-1 is 1 and at least one of |
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|
1405 bits lsb, lsb-2, lsb-3, lsb-4, ... is 1. */ |
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1406 if ((digit & half_eps) != 0) { |
|
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|
1407 round_up = 0; |
|
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|
1408 if ((digit & (3*half_eps-1)) != 0 || |
|
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|
1409 (half_eps == 8 && (HEX_DIGIT(key_digit+1) & 1) != 0)) |
|
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|
1410 round_up = 1; |
|
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|
1411 else |
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|
1412 for (i = key_digit-1; i >= 0; i--) |
|
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|
1413 if (HEX_DIGIT(i) != 0) { |
|
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|
1414 round_up = 1; |
|
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|
1415 break; |
|
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|
1416 } |
| 62834 | 1417 if (round_up) { |
|
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|
1418 x += 2*half_eps; |
|
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|
1419 if (top_exp == DBL_MAX_EXP && |
|
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|
1420 x == ldexp((double)(2*half_eps), DBL_MANT_DIG)) |
|
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|
1421 /* overflow corner case: pre-rounded value < |
|
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|
1422 2**DBL_MAX_EXP; rounded=2**DBL_MAX_EXP. */ |
|
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|
1423 goto overflow_error; |
|
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1424 } |
|
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1425 } |
|
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|
1426 x = ldexp(x, (int)(exp+4*key_digit)); |
|
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|
1427 |
|
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|
1428 finished: |
|
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1429 /* optional trailing whitespace leading to the end of the string */ |
|
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|
1430 while (Py_ISSPACE(*s)) |
|
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1431 s++; |
|
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|
1432 if (s != s_end) |
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|
1433 goto parse_error; |
|
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1434 result_as_float = Py_BuildValue("(d)", negate ? -x : x); |
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1435 if (result_as_float == NULL) |
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|
1436 return NULL; |
|
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|
1437 result = PyObject_CallObject(cls, result_as_float); |
|
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1438 Py_DECREF(result_as_float); |
|
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1439 return result; |
|
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|
1440 |
|
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|
1441 overflow_error: |
|
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|
1442 PyErr_SetString(PyExc_OverflowError, |
|
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1443 "hexadecimal value too large to represent as a float"); |
|
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1444 return NULL; |
|
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|
1445 |
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1446 parse_error: |
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1447 PyErr_SetString(PyExc_ValueError, |
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1448 "invalid hexadecimal floating-point string"); |
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1449 return NULL; |
|
48497
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1450 |
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1451 insane_length_error: |
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1452 PyErr_SetString(PyExc_ValueError, |
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1453 "hexadecimal string too long to convert"); |
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1454 return NULL; |
|
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1455 } |
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1456 |
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1457 PyDoc_STRVAR(float_fromhex_doc, |
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1458 "float.fromhex(string) -> float\n\ |
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1459 \n\ |
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1460 Create a floating-point number from a hexadecimal string.\n\ |
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1461 >>> float.fromhex('0x1.ffffp10')\n\ |
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1462 2047.984375\n\ |
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1463 >>> float.fromhex('-0x1p-1074')\n\ |
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1464 -4.9406564584124654e-324"); |
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1465 |
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1466 |
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1467 static PyObject * |
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1468 float_as_integer_ratio(PyObject *v, PyObject *unused) |
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1469 { |
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1470 double self; |
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1471 double float_part; |
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1472 int exponent; |
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1473 int i; |
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1474 |
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1475 PyObject *prev; |
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1476 PyObject *py_exponent = NULL; |
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1477 PyObject *numerator = NULL; |
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1478 PyObject *denominator = NULL; |
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1479 PyObject *result_pair = NULL; |
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1480 PyNumberMethods *long_methods = PyLong_Type.tp_as_number; |
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1481 |
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1482 #define INPLACE_UPDATE(obj, call) \ |
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1483 prev = obj; \ |
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1484 obj = call; \ |
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1485 Py_DECREF(prev); \ |
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1486 |
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1487 CONVERT_TO_DOUBLE(v, self); |
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1488 |
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1489 if (Py_IS_INFINITY(self)) { |
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1490 PyErr_SetString(PyExc_OverflowError, |
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1491 "Cannot pass infinity to float.as_integer_ratio."); |
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1492 return NULL; |
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1493 } |
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1494 if (Py_IS_NAN(self)) { |
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1495 PyErr_SetString(PyExc_ValueError, |
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1496 "Cannot pass NaN to float.as_integer_ratio."); |
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1497 return NULL; |
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1498 } |
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1499 |
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1500 PyFPE_START_PROTECT("as_integer_ratio", goto error); |
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1501 float_part = frexp(self, &exponent); /* self == float_part * 2**exponent exactly */ |
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1502 PyFPE_END_PROTECT(float_part); |
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1503 |
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1504 for (i=0; i<300 && float_part != floor(float_part) ; i++) { |
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1505 float_part *= 2.0; |
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1506 exponent--; |
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1507 } |
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1508 /* self == float_part * 2**exponent exactly and float_part is integral. |
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1509 If FLT_RADIX != 2, the 300 steps may leave a tiny fractional part |
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1510 to be truncated by PyLong_FromDouble(). */ |
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1511 |
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1512 numerator = PyLong_FromDouble(float_part); |
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1513 if (numerator == NULL) goto error; |
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1514 |
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1515 /* fold in 2**exponent */ |
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1516 denominator = PyLong_FromLong(1); |
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1517 py_exponent = PyLong_FromLong(labs((long)exponent)); |
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1518 if (py_exponent == NULL) goto error; |
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1519 INPLACE_UPDATE(py_exponent, |
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1520 long_methods->nb_lshift(denominator, py_exponent)); |
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1521 if (py_exponent == NULL) goto error; |
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1522 if (exponent > 0) { |
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1523 INPLACE_UPDATE(numerator, |
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1524 long_methods->nb_multiply(numerator, py_exponent)); |
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1525 if (numerator == NULL) goto error; |
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1526 } |
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1527 else { |
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1528 Py_DECREF(denominator); |
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1529 denominator = py_exponent; |
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1530 py_exponent = NULL; |
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1531 } |
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1532 |
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1533 result_pair = PyTuple_Pack(2, numerator, denominator); |
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1534 |
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1535 #undef INPLACE_UPDATE |
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1536 error: |
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1537 Py_XDECREF(py_exponent); |
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1538 Py_XDECREF(denominator); |
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1539 Py_XDECREF(numerator); |
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1540 return result_pair; |
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1541 } |
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1542 |
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1543 PyDoc_STRVAR(float_as_integer_ratio_doc, |
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1544 "float.as_integer_ratio() -> (int, int)\n" |
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1545 "\n" |
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1546 "Returns a pair of integers, whose ratio is exactly equal to the original\n" |
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1547 "float and with a positive denominator.\n" |
| 49493 | 1548 "Raises OverflowError on infinities and a ValueError on NaNs.\n" |
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1549 "\n" |
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1550 ">>> (10.0).as_integer_ratio()\n" |
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1551 "(10, 1)\n" |
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1552 ">>> (0.0).as_integer_ratio()\n" |
|
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1553 "(0, 1)\n" |
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1554 ">>> (-.25).as_integer_ratio()\n" |
|
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1555 "(-1, 4)"); |
|
45026
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1556 |
|
1049
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1557 |
|
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1558 static PyObject * |
|
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|
1559 float_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds); |
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|
1560 |
|
18933
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1561 static PyObject * |
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|
1562 float_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
|
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1563 { |
|
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1564 PyObject *x = Py_False; /* Integer zero */ |
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1565 static char *kwlist[] = {"x", 0}; |
|
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1566 |
|
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1567 if (type != &PyFloat_Type) |
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1568 return float_subtype_new(type, args, kwds); /* Wimp out */ |
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1569 if (!PyArg_ParseTupleAndKeywords(args, kwds, "|O:float", kwlist, &x)) |
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1570 return NULL; |
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1571 /* If it's a string, but not a string subclass, use |
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1572 PyFloat_FromString. */ |
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1573 if (PyUnicode_CheckExact(x)) |
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1574 return PyFloat_FromString(x); |
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1575 return PyNumber_Float(x); |
|
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1576 } |
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1577 |
|
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1578 /* Wimpy, slow approach to tp_new calls for subtypes of float: |
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1579 first create a regular float from whatever arguments we got, |
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1580 then allocate a subtype instance and initialize its ob_fval |
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1581 from the regular float. The regular float is then thrown away. |
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1582 */ |
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1583 static PyObject * |
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1584 float_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
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1585 { |
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1586 PyObject *tmp, *newobj; |
|
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1587 |
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1588 assert(PyType_IsSubtype(type, &PyFloat_Type)); |
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1589 tmp = float_new(&PyFloat_Type, args, kwds); |
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1590 if (tmp == NULL) |
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1591 return NULL; |
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1592 assert(PyFloat_CheckExact(tmp)); |
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1593 newobj = type->tp_alloc(type, 0); |
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1594 if (newobj == NULL) { |
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1595 Py_DECREF(tmp); |
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1596 return NULL; |
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1597 } |
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1598 ((PyFloatObject *)newobj)->ob_fval = ((PyFloatObject *)tmp)->ob_fval; |
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1599 Py_DECREF(tmp); |
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1600 return newobj; |
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1601 } |
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1602 |
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1603 static PyObject * |
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1604 float_getnewargs(PyFloatObject *v) |
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1605 { |
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1606 return Py_BuildValue("(d)", v->ob_fval); |
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1607 } |
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1608 |
| 34972 | 1609 /* this is for the benefit of the pack/unpack routines below */ |
| 1610 | |
| 1611 typedef enum { | |
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1612 unknown_format, ieee_big_endian_format, ieee_little_endian_format |
| 34972 | 1613 } float_format_type; |
| 1614 | |
| 1615 static float_format_type double_format, float_format; | |
| 1616 static float_format_type detected_double_format, detected_float_format; | |
| 1617 | |
| 1618 static PyObject * | |
| 1619 float_getformat(PyTypeObject *v, PyObject* arg) | |
| 1620 { | |
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1621 char* s; |
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1622 float_format_type r; |
| 34972 | 1623 |
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1624 if (!PyUnicode_Check(arg)) { |
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1625 PyErr_Format(PyExc_TypeError, |
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1626 "__getformat__() argument must be string, not %.500s", |
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1627 Py_TYPE(arg)->tp_name); |
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1628 return NULL; |
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1629 } |
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1630 s = _PyUnicode_AsString(arg); |
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1631 if (s == NULL) |
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1632 return NULL; |
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1633 if (strcmp(s, "double") == 0) { |
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1634 r = double_format; |
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1635 } |
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1636 else if (strcmp(s, "float") == 0) { |
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1637 r = float_format; |
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1638 } |
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1639 else { |
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1640 PyErr_SetString(PyExc_ValueError, |
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1641 "__getformat__() argument 1 must be " |
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1642 "'double' or 'float'"); |
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1643 return NULL; |
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1644 } |
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1645 |
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1646 switch (r) { |
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1647 case unknown_format: |
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1648 return PyUnicode_FromString("unknown"); |
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1649 case ieee_little_endian_format: |
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1650 return PyUnicode_FromString("IEEE, little-endian"); |
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1651 case ieee_big_endian_format: |
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1652 return PyUnicode_FromString("IEEE, big-endian"); |
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1653 default: |
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1654 Py_FatalError("insane float_format or double_format"); |
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1655 return NULL; |
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1656 } |
| 34972 | 1657 } |
| 1658 | |
| 1659 PyDoc_STRVAR(float_getformat_doc, | |
| 1660 "float.__getformat__(typestr) -> string\n" | |
| 1661 "\n" | |
| 1662 "You probably don't want to use this function. It exists mainly to be\n" | |
| 1663 "used in Python's test suite.\n" | |
| 1664 "\n" | |
| 1665 "typestr must be 'double' or 'float'. This function returns whichever of\n" | |
| 1666 "'unknown', 'IEEE, big-endian' or 'IEEE, little-endian' best describes the\n" | |
| 1667 "format of floating point numbers used by the C type named by typestr."); | |
| 1668 | |
| 1669 static PyObject * | |
| 1670 float_setformat(PyTypeObject *v, PyObject* args) | |
| 1671 { | |
|
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1672 char* typestr; |
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1673 char* format; |
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1674 float_format_type f; |
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1675 float_format_type detected; |
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1676 float_format_type *p; |
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1677 |
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1678 if (!PyArg_ParseTuple(args, "ss:__setformat__", &typestr, &format)) |
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1679 return NULL; |
| 34972 | 1680 |
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1681 if (strcmp(typestr, "double") == 0) { |
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1682 p = &double_format; |
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1683 detected = detected_double_format; |
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1684 } |
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1685 else if (strcmp(typestr, "float") == 0) { |
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1686 p = &float_format; |
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1687 detected = detected_float_format; |
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1688 } |
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1689 else { |
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1690 PyErr_SetString(PyExc_ValueError, |
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1691 "__setformat__() argument 1 must " |
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1692 "be 'double' or 'float'"); |
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1693 return NULL; |
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1694 } |
| 34972 | 1695 |
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1696 if (strcmp(format, "unknown") == 0) { |
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1697 f = unknown_format; |
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1698 } |
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1699 else if (strcmp(format, "IEEE, little-endian") == 0) { |
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1700 f = ieee_little_endian_format; |
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1701 } |
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1702 else if (strcmp(format, "IEEE, big-endian") == 0) { |
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1703 f = ieee_big_endian_format; |
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1704 } |
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1705 else { |
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1706 PyErr_SetString(PyExc_ValueError, |
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1707 "__setformat__() argument 2 must be " |
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1708 "'unknown', 'IEEE, little-endian' or " |
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1709 "'IEEE, big-endian'"); |
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1710 return NULL; |
| 34972 | 1711 |
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1712 } |
| 34972 | 1713 |
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1714 if (f != unknown_format && f != detected) { |
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1715 PyErr_Format(PyExc_ValueError, |
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1716 "can only set %s format to 'unknown' or the " |
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1717 "detected platform value", typestr); |
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1718 return NULL; |
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1719 } |
| 34972 | 1720 |
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1721 *p = f; |
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1722 Py_RETURN_NONE; |
| 34972 | 1723 } |
| 1724 | |
| 1725 PyDoc_STRVAR(float_setformat_doc, | |
| 1726 "float.__setformat__(typestr, fmt) -> None\n" | |
| 1727 "\n" | |
| 1728 "You probably don't want to use this function. It exists mainly to be\n" | |
| 1729 "used in Python's test suite.\n" | |
| 1730 "\n" | |
| 1731 "typestr must be 'double' or 'float'. fmt must be one of 'unknown',\n" | |
| 1732 "'IEEE, big-endian' or 'IEEE, little-endian', and in addition can only be\n" | |
| 1733 "one of the latter two if it appears to match the underlying C reality.\n" | |
| 1734 "\n" | |
| 1735 "Overrides the automatic determination of C-level floating point type.\n" | |
| 1736 "This affects how floats are converted to and from binary strings."); | |
| 1737 | |
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1738 static PyObject * |
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1739 float_getzero(PyObject *v, void *closure) |
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1740 { |
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1741 return PyFloat_FromDouble(0.0); |
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1742 } |
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1743 |
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1744 static PyObject * |
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1745 float__format__(PyObject *self, PyObject *args) |
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1746 { |
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1747 PyObject *format_spec; |
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1748 |
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1749 if (!PyArg_ParseTuple(args, "U:__format__", &format_spec)) |
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1750 return NULL; |
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1751 return _PyFloat_FormatAdvanced(self, |
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1752 PyUnicode_AS_UNICODE(format_spec), |
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1753 PyUnicode_GET_SIZE(format_spec)); |
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1754 } |
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1755 |
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1756 PyDoc_STRVAR(float__format__doc, |
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1757 "float.__format__(format_spec) -> string\n" |
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1758 "\n" |
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1759 "Formats the float according to format_spec."); |
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1760 |
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1761 |
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1762 static PyMethodDef float_methods[] = { |
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1763 {"conjugate", (PyCFunction)float_float, METH_NOARGS, |
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1764 "Returns self, the complex conjugate of any float."}, |
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1765 {"__trunc__", (PyCFunction)float_trunc, METH_NOARGS, |
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1766 "Returns the Integral closest to x between 0 and x."}, |
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1767 {"__round__", (PyCFunction)float_round, METH_VARARGS, |
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1768 "Returns the Integral closest to x, rounding half toward even.\n" |
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1769 "When an argument is passed, works like built-in round(x, ndigits)."}, |
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1770 {"as_integer_ratio", (PyCFunction)float_as_integer_ratio, METH_NOARGS, |
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1771 float_as_integer_ratio_doc}, |
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1772 {"fromhex", (PyCFunction)float_fromhex, |
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1773 METH_O|METH_CLASS, float_fromhex_doc}, |
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1774 {"hex", (PyCFunction)float_hex, |
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1775 METH_NOARGS, float_hex_doc}, |
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1776 {"is_integer", (PyCFunction)float_is_integer, METH_NOARGS, |
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1777 "Returns True if the float is an integer."}, |
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1778 #if 0 |
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1779 {"is_inf", (PyCFunction)float_is_inf, METH_NOARGS, |
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1780 "Returns True if the float is positive or negative infinite."}, |
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1781 {"is_finite", (PyCFunction)float_is_finite, METH_NOARGS, |
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1782 "Returns True if the float is finite, neither infinite nor NaN."}, |
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1783 {"is_nan", (PyCFunction)float_is_nan, METH_NOARGS, |
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1784 "Returns True if the float is not a number (NaN)."}, |
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1785 #endif |
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1786 {"__getnewargs__", (PyCFunction)float_getnewargs, METH_NOARGS}, |
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1787 {"__getformat__", (PyCFunction)float_getformat, |
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1788 METH_O|METH_CLASS, float_getformat_doc}, |
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1789 {"__setformat__", (PyCFunction)float_setformat, |
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1790 METH_VARARGS|METH_CLASS, float_setformat_doc}, |
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1791 {"__format__", (PyCFunction)float__format__, |
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1792 METH_VARARGS, float__format__doc}, |
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1793 {NULL, NULL} /* sentinel */ |
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1794 }; |
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1795 |
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1796 static PyGetSetDef float_getset[] = { |
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1797 {"real", |
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1798 (getter)float_float, (setter)NULL, |
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1799 "the real part of a complex number", |
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1800 NULL}, |
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1801 {"imag", |
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1803 "the imaginary part of a complex number", |
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1804 NULL}, |
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1805 {NULL} /* Sentinel */ |
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1806 }; |
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1807 |
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1808 PyDoc_STRVAR(float_doc, |
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1809 "float(x) -> floating point number\n\ |
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1810 \n\ |
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1811 Convert a string or number to a floating point number, if possible."); |
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1812 |
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1813 |
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1814 static PyNumberMethods float_as_number = { |
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1815 float_add, /*nb_add*/ |
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1816 float_sub, /*nb_subtract*/ |
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1817 float_mul, /*nb_multiply*/ |
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1818 float_rem, /*nb_remainder*/ |
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1819 float_divmod, /*nb_divmod*/ |
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1820 float_pow, /*nb_power*/ |
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1821 (unaryfunc)float_neg, /*nb_negative*/ |
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1822 (unaryfunc)float_float, /*nb_positive*/ |
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1823 (unaryfunc)float_abs, /*nb_absolute*/ |
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1824 (inquiry)float_bool, /*nb_bool*/ |
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1825 0, /*nb_invert*/ |
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1826 0, /*nb_lshift*/ |
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1827 0, /*nb_rshift*/ |
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1828 0, /*nb_and*/ |
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1829 0, /*nb_xor*/ |
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1830 0, /*nb_or*/ |
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1831 float_trunc, /*nb_int*/ |
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1832 0, /*nb_reserved*/ |
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1833 float_float, /*nb_float*/ |
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1834 0, /* nb_inplace_add */ |
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1835 0, /* nb_inplace_subtract */ |
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1836 0, /* nb_inplace_multiply */ |
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1837 0, /* nb_inplace_remainder */ |
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1838 0, /* nb_inplace_power */ |
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1839 0, /* nb_inplace_lshift */ |
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1840 0, /* nb_inplace_rshift */ |
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1841 0, /* nb_inplace_and */ |
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1842 0, /* nb_inplace_xor */ |
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1844 float_floor_div, /* nb_floor_divide */ |
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1845 float_div, /* nb_true_divide */ |
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1846 0, /* nb_inplace_floor_divide */ |
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1847 0, /* nb_inplace_true_divide */ |
| 6 | 1848 }; |
| 1849 | |
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1850 PyTypeObject PyFloat_Type = { |
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1851 PyVarObject_HEAD_INIT(&PyType_Type, 0) |
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1852 "float", |
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1853 sizeof(PyFloatObject), |
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1854 0, |
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1855 (destructor)float_dealloc, /* tp_dealloc */ |
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1856 0, /* tp_print */ |
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1857 0, /* tp_getattr */ |
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1858 0, /* tp_setattr */ |
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1859 0, /* tp_reserved */ |
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1860 (reprfunc)float_repr, /* tp_repr */ |
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1861 &float_as_number, /* tp_as_number */ |
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1862 0, /* tp_as_sequence */ |
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1863 0, /* tp_as_mapping */ |
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1864 (hashfunc)float_hash, /* tp_hash */ |
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1865 0, /* tp_call */ |
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1866 (reprfunc)float_repr, /* tp_str */ |
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1867 PyObject_GenericGetAttr, /* tp_getattro */ |
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1868 0, /* tp_setattro */ |
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1869 0, /* tp_as_buffer */ |
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1870 Py_TPFLAGS_DEFAULT | Py_TPFLAGS_BASETYPE, /* tp_flags */ |
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1871 float_doc, /* tp_doc */ |
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1872 0, /* tp_traverse */ |
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1873 0, /* tp_clear */ |
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1874 float_richcompare, /* tp_richcompare */ |
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1875 0, /* tp_weaklistoffset */ |
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1876 0, /* tp_iter */ |
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1877 0, /* tp_iternext */ |
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1878 float_methods, /* tp_methods */ |
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1879 0, /* tp_members */ |
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1880 float_getset, /* tp_getset */ |
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1881 0, /* tp_base */ |
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1882 0, /* tp_dict */ |
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1883 0, /* tp_descr_get */ |
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1884 0, /* tp_descr_set */ |
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1885 0, /* tp_dictoffset */ |
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1886 0, /* tp_init */ |
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1887 0, /* tp_alloc */ |
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1888 float_new, /* tp_new */ |
| 6 | 1889 }; |
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1891 void |
| 34972 | 1892 _PyFloat_Init(void) |
| 1893 { | |
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1894 /* We attempt to determine if this machine is using IEEE |
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1895 floating point formats by peering at the bits of some |
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1896 carefully chosen values. If it looks like we are on an |
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1897 IEEE platform, the float packing/unpacking routines can |
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1898 just copy bits, if not they resort to arithmetic & shifts |
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1899 and masks. The shifts & masks approach works on all finite |
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1900 values, but what happens to infinities, NaNs and signed |
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1901 zeroes on packing is an accident, and attempting to unpack |
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1902 a NaN or an infinity will raise an exception. |
| 34972 | 1903 |
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1904 Note that if we're on some whacked-out platform which uses |
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1905 IEEE formats but isn't strictly little-endian or big- |
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1906 endian, we will fall back to the portable shifts & masks |
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1907 method. */ |
| 34972 | 1908 |
| 1909 #if SIZEOF_DOUBLE == 8 | |
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1910 { |
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1911 double x = 9006104071832581.0; |
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1912 if (memcmp(&x, "\x43\x3f\xff\x01\x02\x03\x04\x05", 8) == 0) |
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1913 detected_double_format = ieee_big_endian_format; |
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1914 else if (memcmp(&x, "\x05\x04\x03\x02\x01\xff\x3f\x43", 8) == 0) |
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1915 detected_double_format = ieee_little_endian_format; |
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1916 else |
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1917 detected_double_format = unknown_format; |
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1918 } |
| 34972 | 1919 #else |
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1920 detected_double_format = unknown_format; |
| 34972 | 1921 #endif |
| 1922 | |
| 1923 #if SIZEOF_FLOAT == 4 | |
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1924 { |
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1925 float y = 16711938.0; |
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1926 if (memcmp(&y, "\x4b\x7f\x01\x02", 4) == 0) |
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1927 detected_float_format = ieee_big_endian_format; |
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1928 else if (memcmp(&y, "\x02\x01\x7f\x4b", 4) == 0) |
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1929 detected_float_format = ieee_little_endian_format; |
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1930 else |
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1931 detected_float_format = unknown_format; |
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1932 } |
| 34972 | 1933 #else |
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1934 detected_float_format = unknown_format; |
| 34972 | 1935 #endif |
| 1936 | |
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1937 double_format = detected_double_format; |
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1938 float_format = detected_float_format; |
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1939 |
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1940 /* Init float info */ |
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1941 if (FloatInfoType.tp_name == 0) |
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1942 PyStructSequence_InitType(&FloatInfoType, &floatinfo_desc); |
| 34972 | 1943 } |
| 1944 | |
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1945 int |
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1946 PyFloat_ClearFreeList(void) |
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1947 { |
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1948 PyFloatObject *p; |
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1949 PyFloatBlock *list, *next; |
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1950 int i; |
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1951 int u; /* remaining unfreed floats per block */ |
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1952 int freelist_size = 0; |
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1953 |
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1954 list = block_list; |
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1955 block_list = NULL; |
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1956 free_list = NULL; |
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1957 while (list != NULL) { |
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1958 u = 0; |
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1959 for (i = 0, p = &list->objects[0]; |
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1960 i < N_FLOATOBJECTS; |
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1961 i++, p++) { |
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1962 if (PyFloat_CheckExact(p) && Py_REFCNT(p) != 0) |
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1963 u++; |
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1964 } |
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1965 next = list->next; |
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1966 if (u) { |
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1967 list->next = block_list; |
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1968 block_list = list; |
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1969 for (i = 0, p = &list->objects[0]; |
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1970 i < N_FLOATOBJECTS; |
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1971 i++, p++) { |
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1972 if (!PyFloat_CheckExact(p) || |
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1973 Py_REFCNT(p) == 0) { |
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1974 Py_TYPE(p) = (struct _typeobject *) |
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1975 free_list; |
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1976 free_list = p; |
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1977 } |
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1978 } |
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1979 } |
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1980 else { |
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1981 PyMem_FREE(list); |
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1982 } |
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1983 freelist_size += u; |
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1984 list = next; |
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1985 } |
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1986 return freelist_size; |
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1987 } |
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1988 |
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1989 void |
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1990 PyFloat_Fini(void) |
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1991 { |
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1992 PyFloatObject *p; |
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1993 PyFloatBlock *list; |
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1994 int i; |
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1995 int u; /* total unfreed floats per block */ |
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1996 |
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1997 u = PyFloat_ClearFreeList(); |
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1998 |
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1999 if (!Py_VerboseFlag) |
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2000 return; |
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2001 fprintf(stderr, "# cleanup floats"); |
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2002 if (!u) { |
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2003 fprintf(stderr, "\n"); |
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2004 } |
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2005 else { |
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2006 fprintf(stderr, |
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2007 ": %d unfreed float%s\n", |
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2008 u, u == 1 ? "" : "s"); |
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2009 } |
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2010 if (Py_VerboseFlag > 1) { |
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2011 list = block_list; |
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2012 while (list != NULL) { |
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2013 for (i = 0, p = &list->objects[0]; |
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2014 i < N_FLOATOBJECTS; |
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2015 i++, p++) { |
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2016 if (PyFloat_CheckExact(p) && |
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2017 Py_REFCNT(p) != 0) { |
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2018 char *buf = PyOS_double_to_string( |
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2019 PyFloat_AS_DOUBLE(p), 'r', |
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2020 0, 0, NULL); |
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2021 if (buf) { |
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2022 /* XXX(twouters) cast |
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2023 refcount to long |
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2024 until %zd is |
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diff
changeset
|
2025 universally |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2026 available |
|
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changeset
|
2027 */ |
|
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changeset
|
2028 fprintf(stderr, |
|
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diff
changeset
|
2029 "# <float at %p, refcnt=%ld, val=%s>\n", |
|
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diff
changeset
|
2030 p, (long)Py_REFCNT(p), buf); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2031 PyMem_Free(buf); |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2032 } |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2033 } |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2034 } |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2035 list = list->next; |
|
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|
2036 } |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2037 } |
|
5936
80d24364b932
Added _Fini() routines to free up some memory
Guido van Rossum <guido@python.org>
parents:
5504
diff
changeset
|
2038 } |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2039 |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2040 /*---------------------------------------------------------------------------- |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2041 * _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:
27521
diff
changeset
|
2042 */ |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2043 int |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2044 _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:
27521
diff
changeset
|
2045 { |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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|
2046 if (float_format == unknown_format) { |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2047 unsigned char sign; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
2048 int e; |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2049 double f; |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2050 unsigned int fbits; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2051 int incr = 1; |
| 34972 | 2052 |
|
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|
2053 if (le) { |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2054 p += 3; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2055 incr = -1; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2056 } |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2057 |
|
61467
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|
2058 if (x < 0) { |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2059 sign = 1; |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2060 x = -x; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
2061 } |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2062 else |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2063 sign = 0; |
| 34972 | 2064 |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2065 f = frexp(x, &e); |
| 34972 | 2066 |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2067 /* Normalize f to be in the range [1.0, 2.0) */ |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2068 if (0.5 <= f && f < 1.0) { |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2069 f *= 2.0; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2070 e--; |
|
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|
2071 } |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2072 else if (f == 0.0) |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2073 e = 0; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2074 else { |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2075 PyErr_SetString(PyExc_SystemError, |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2076 "frexp() result out of range"); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2077 return -1; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2078 } |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2079 |
|
61467
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changeset
|
2080 if (e >= 128) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2081 goto Overflow; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
54232
diff
changeset
|
2082 else if (e < -126) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2083 /* Gradual underflow */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2084 f = ldexp(f, 126 + e); |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2085 e = 0; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2086 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2087 else if (!(e == 0 && f == 0.0)) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2088 e += 127; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2089 f -= 1.0; /* Get rid of leading 1 */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2090 } |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2091 |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2092 f *= 8388608.0; /* 2**23 */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2093 fbits = (unsigned int)(f + 0.5); /* Round */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2094 assert(fbits <= 8388608); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2095 if (fbits >> 23) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2096 /* The carry propagated out of a string of 23 1 bits. */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2097 fbits = 0; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2098 ++e; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
2099 if (e >= 255) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2100 goto Overflow; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
2101 } |
| 34972 | 2102 |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2103 /* First byte */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2104 *p = (sign << 7) | (e >> 1); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
2105 p += incr; |
| 34972 | 2106 |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2107 /* Second byte */ |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2108 *p = (char) (((e & 1) << 7) | (fbits >> 16)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2109 p += incr; |
| 34972 | 2110 |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2111 /* Third byte */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2112 *p = (fbits >> 8) & 0xFF; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2113 p += incr; |
| 34972 | 2114 |
|
61467
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changeset
|
2115 /* Fourth byte */ |
|
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|
2116 *p = fbits & 0xFF; |
| 34972 | 2117 |
|
61467
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|
2118 /* Done */ |
|
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|
2119 return 0; |
| 34972 | 2120 |
|
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|
2121 } |
|
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|
2122 else { |
|
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changeset
|
2123 float y = (float)x; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2124 const char *s = (char*)&y; |
|
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changeset
|
2125 int i, incr = 1; |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2126 |
|
61467
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|
2127 if (Py_IS_INFINITY(y) && !Py_IS_INFINITY(x)) |
|
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changeset
|
2128 goto Overflow; |
|
45773
832c820e9d14
Merged revisions 61239-61249,61252-61257,61260-61264,61269-61275,61278-61279,61285-61286,61288-61290,61298,61303-61305,61312-61314,61317,61329,61332,61344,61350-61351,61363-61376,61378-61379,61382-61383,61387-61388,61392,61395-61396,61402-61403 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents:
45145
diff
changeset
|
2129 |
|
61467
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|
2130 if ((float_format == ieee_little_endian_format && !le) |
|
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|
2131 || (float_format == ieee_big_endian_format && le)) { |
|
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changeset
|
2132 p += 3; |
|
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|
2133 incr = -1; |
|
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|
2134 } |
|
45773
832c820e9d14
Merged revisions 61239-61249,61252-61257,61260-61264,61269-61275,61278-61279,61285-61286,61288-61290,61298,61303-61305,61312-61314,61317,61329,61332,61344,61350-61351,61363-61376,61378-61379,61382-61383,61387-61388,61392,61395-61396,61402-61403 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents:
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|
2135 |
|
61467
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changeset
|
2136 for (i = 0; i < 4; i++) { |
|
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changeset
|
2137 *p = *s++; |
|
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changeset
|
2138 p += incr; |
|
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|
2139 } |
|
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|
2140 return 0; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2141 } |
|
45773
832c820e9d14
Merged revisions 61239-61249,61252-61257,61260-61264,61269-61275,61278-61279,61285-61286,61288-61290,61298,61303-61305,61312-61314,61317,61329,61332,61344,61350-61351,61363-61376,61378-61379,61382-61383,61387-61388,61392,61395-61396,61402-61403 via svnmerge from
Christian Heimes <christian@cheimes.de>
parents:
45145
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|
2142 Overflow: |
|
61467
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|
2143 PyErr_SetString(PyExc_OverflowError, |
|
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|
2144 "float too large to pack with f format"); |
|
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|
2145 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
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|
2146 } |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
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|
2147 |
|
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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|
2148 int |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
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|
2149 _PyFloat_Pack8(double x, unsigned char *p, int le) |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
2150 { |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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|
2151 if (double_format == unknown_format) { |
|
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|
2152 unsigned char sign; |
|
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|
2153 int e; |
|
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|
2154 double f; |
|
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|
2155 unsigned int fhi, flo; |
|
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|
2156 int incr = 1; |
| 34972 | 2157 |
|
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|
2158 if (le) { |
|
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|
2159 p += 7; |
|
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|
2160 incr = -1; |
|
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|
2161 } |
| 34972 | 2162 |
|
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|
2163 if (x < 0) { |
|
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|
2164 sign = 1; |
|
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|
2165 x = -x; |
|
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|
2166 } |
|
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|
2167 else |
|
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|
2168 sign = 0; |
| 34972 | 2169 |
|
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|
2170 f = frexp(x, &e); |
|
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New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
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|
2171 |
|
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|
2172 /* Normalize f to be in the range [1.0, 2.0) */ |
|
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2173 if (0.5 <= f && f < 1.0) { |
|
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|
2174 f *= 2.0; |
|
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|
2175 e--; |
|
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2176 } |
|
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|
2177 else if (f == 0.0) |
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|
2178 e = 0; |
|
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|
2179 else { |
|
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|
2180 PyErr_SetString(PyExc_SystemError, |
|
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|
2181 "frexp() result out of range"); |
|
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2182 return -1; |
|
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|
2183 } |
| 34972 | 2184 |
|
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2185 if (e >= 1024) |
|
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|
2186 goto Overflow; |
|
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2187 else if (e < -1022) { |
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|
2188 /* Gradual underflow */ |
|
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2189 f = ldexp(f, 1022 + e); |
|
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2190 e = 0; |
|
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2191 } |
|
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|
2192 else if (!(e == 0 && f == 0.0)) { |
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2193 e += 1023; |
|
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2194 f -= 1.0; /* Get rid of leading 1 */ |
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2195 } |
| 34972 | 2196 |
|
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2197 /* fhi receives the high 28 bits; flo the low 24 bits (== 52 bits) */ |
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2198 f *= 268435456.0; /* 2**28 */ |
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|
2199 fhi = (unsigned int)f; /* Truncate */ |
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|
2200 assert(fhi < 268435456); |
|
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|
2201 |
|
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|
2202 f -= (double)fhi; |
|
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2203 f *= 16777216.0; /* 2**24 */ |
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2204 flo = (unsigned int)(f + 0.5); /* Round */ |
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|
2205 assert(flo <= 16777216); |
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2206 if (flo >> 24) { |
|
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|
2207 /* The carry propagated out of a string of 24 1 bits. */ |
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2208 flo = 0; |
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|
2209 ++fhi; |
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|
2210 if (fhi >> 28) { |
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2211 /* And it also progagated out of the next 28 bits. */ |
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|
2212 fhi = 0; |
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|
2213 ++e; |
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2214 if (e >= 2047) |
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|
2215 goto Overflow; |
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2216 } |
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2217 } |
|
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Tim Peters <tim.peters@gmail.com>
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|
2218 |
|
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|
2219 /* First byte */ |
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|
2220 *p = (sign << 7) | (e >> 4); |
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2221 p += incr; |
| 34972 | 2222 |
|
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2223 /* Second byte */ |
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|
2224 *p = (unsigned char) (((e & 0xF) << 4) | (fhi >> 24)); |
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|
2225 p += incr; |
|
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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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|
2226 |
|
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2227 /* Third byte */ |
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2228 *p = (fhi >> 16) & 0xFF; |
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2229 p += incr; |
| 34972 | 2230 |
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2231 /* Fourth byte */ |
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|
2232 *p = (fhi >> 8) & 0xFF; |
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|
2233 p += incr; |
| 34972 | 2234 |
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2235 /* Fifth byte */ |
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2236 *p = fhi & 0xFF; |
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2237 p += incr; |
| 34972 | 2238 |
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2239 /* Sixth byte */ |
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2240 *p = (flo >> 16) & 0xFF; |
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2241 p += incr; |
| 34972 | 2242 |
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2243 /* Seventh byte */ |
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2244 *p = (flo >> 8) & 0xFF; |
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2245 p += incr; |
| 34972 | 2246 |
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2247 /* Eighth byte */ |
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2248 *p = flo & 0xFF; |
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2249 p += incr; |
| 34972 | 2250 |
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|
2251 /* Done */ |
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2252 return 0; |
| 34972 | 2253 |
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|
2254 Overflow: |
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|
2255 PyErr_SetString(PyExc_OverflowError, |
|
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2256 "float too large to pack with d format"); |
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2257 return -1; |
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2258 } |
|
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|
2259 else { |
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|
2260 const char *s = (char*)&x; |
|
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|
2261 int i, incr = 1; |
|
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|
2262 |
|
61467
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|
2263 if ((double_format == ieee_little_endian_format && !le) |
|
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2264 || (double_format == ieee_big_endian_format && le)) { |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2265 p += 7; |
|
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|
2266 incr = -1; |
|
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|
2267 } |
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|
2268 |
|
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|
2269 for (i = 0; i < 8; i++) { |
|
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|
2270 *p = *s++; |
|
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|
2271 p += incr; |
|
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|
2272 } |
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|
2273 return 0; |
|
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|
2274 } |
|
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|
2275 } |
|
70003b0cb837
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2276 |
|
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|
2277 double |
|
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|
2278 _PyFloat_Unpack4(const unsigned char *p, int le) |
|
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2279 { |
|
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2280 if (float_format == unknown_format) { |
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2281 unsigned char sign; |
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|
2282 int e; |
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2283 unsigned int f; |
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|
2284 double x; |
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|
2285 int incr = 1; |
| 34972 | 2286 |
|
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2287 if (le) { |
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2288 p += 3; |
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2289 incr = -1; |
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2290 } |
| 34972 | 2291 |
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2292 /* First byte */ |
|
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2293 sign = (*p >> 7) & 1; |
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|
2294 e = (*p & 0x7F) << 1; |
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2295 p += incr; |
|
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|
2296 |
|
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|
2297 /* Second byte */ |
|
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2298 e |= (*p >> 7) & 1; |
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2299 f = (*p & 0x7F) << 16; |
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|
2300 p += incr; |
|
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|
2301 |
|
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|
2302 if (e == 255) { |
|
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|
2303 PyErr_SetString( |
|
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|
2304 PyExc_ValueError, |
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2305 "can't unpack IEEE 754 special value " |
|
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2306 "on non-IEEE platform"); |
|
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2307 return -1; |
|
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2308 } |
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2309 |
|
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|
2310 /* Third byte */ |
|
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|
2311 f |= *p << 8; |
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2312 p += incr; |
|
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|
2313 |
|
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|
2314 /* Fourth byte */ |
|
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|
2315 f |= *p; |
| 34972 | 2316 |
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2317 x = (double)f / 8388608.0; |
|
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|
2318 |
|
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|
2319 /* XXX This sadly ignores Inf/NaN issues */ |
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2320 if (e == 0) |
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2321 e = -126; |
|
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2322 else { |
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|
2323 x += 1.0; |
|
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|
2324 e -= 127; |
|
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2325 } |
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|
2326 x = ldexp(x, e); |
|
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|
2327 |
|
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|
2328 if (sign) |
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|
2329 x = -x; |
|
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|
2330 |
|
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|
2331 return x; |
|
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|
2332 } |
|
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|
2333 else { |
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|
2334 float x; |
| 35987 | 2335 |
|
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|
2336 if ((float_format == ieee_little_endian_format && !le) |
|
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2337 || (float_format == ieee_big_endian_format && le)) { |
|
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|
2338 char buf[4]; |
|
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|
2339 char *d = &buf[3]; |
|
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|
2340 int i; |
|
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|
2341 |
|
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|
2342 for (i = 0; i < 4; i++) { |
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|
2343 *d-- = *p++; |
|
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2344 } |
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|
2345 memcpy(&x, buf, 4); |
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2346 } |
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2347 else { |
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|
2348 memcpy(&x, p, 4); |
|
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|
2349 } |
| 35987 | 2350 |
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|
2351 return x; |
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2352 } |
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|
2353 } |
|
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|
2354 |
|
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|
2355 double |
|
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|
2356 _PyFloat_Unpack8(const unsigned char *p, int le) |
|
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|
2357 { |
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2358 if (double_format == unknown_format) { |
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2359 unsigned char sign; |
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2360 int e; |
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|
2361 unsigned int fhi, flo; |
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|
2362 double x; |
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2363 int incr = 1; |
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2364 |
|
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|
2365 if (le) { |
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|
2366 p += 7; |
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2367 incr = -1; |
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2368 } |
| 34972 | 2369 |
|
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|
2370 /* First byte */ |
|
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|
2371 sign = (*p >> 7) & 1; |
|
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|
2372 e = (*p & 0x7F) << 4; |
|
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2373 |
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2374 p += incr; |
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2375 |
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2376 /* Second byte */ |
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2377 e |= (*p >> 4) & 0xF; |
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2378 fhi = (*p & 0xF) << 24; |
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2379 p += incr; |
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2380 |
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2381 if (e == 2047) { |
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2382 PyErr_SetString( |
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2383 PyExc_ValueError, |
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2384 "can't unpack IEEE 754 special value " |
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2385 "on non-IEEE platform"); |
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2386 return -1.0; |
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2387 } |
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2388 |
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2389 /* Third byte */ |
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2390 fhi |= *p << 16; |
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2391 p += incr; |
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2392 |
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2393 /* Fourth byte */ |
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2394 fhi |= *p << 8; |
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2395 p += incr; |
| 34972 | 2396 |
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2397 /* Fifth byte */ |
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2398 fhi |= *p; |
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2399 p += incr; |
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2400 |
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2401 /* Sixth byte */ |
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2402 flo = *p << 16; |
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2403 p += incr; |
| 34972 | 2404 |
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2405 /* Seventh byte */ |
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2406 flo |= *p << 8; |
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2407 p += incr; |
| 34972 | 2408 |
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2409 /* Eighth byte */ |
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2410 flo |= *p; |
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2411 |
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2412 x = (double)fhi + (double)flo / 16777216.0; /* 2**24 */ |
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2413 x /= 268435456.0; /* 2**28 */ |
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2414 |
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2415 if (e == 0) |
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2416 e = -1022; |
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2417 else { |
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2418 x += 1.0; |
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2419 e -= 1023; |
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2420 } |
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2421 x = ldexp(x, e); |
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2422 |
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2423 if (sign) |
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2424 x = -x; |
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2425 |
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2426 return x; |
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2427 } |
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2428 else { |
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2429 double x; |
| 35987 | 2430 |
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2431 if ((double_format == ieee_little_endian_format && !le) |
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2432 || (double_format == ieee_big_endian_format && le)) { |
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2433 char buf[8]; |
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2434 char *d = &buf[7]; |
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2435 int i; |
| 35987 | 2436 |
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2437 for (i = 0; i < 8; i++) { |
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2438 *d-- = *p++; |
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2439 } |
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2440 memcpy(&x, buf, 8); |
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2441 } |
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2442 else { |
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2443 memcpy(&x, p, 8); |
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2444 } |
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2445 |
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2446 return x; |
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2447 } |
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2448 } |
