Mercurial > cpython-lru_cache-weakref
annotate Objects/floatobject.c @ 64282:aefba899eaee
Disable deletion of openssl again.
| author | Martin v. Löwis <martin@v.loewis.de> |
|---|---|
| date | Wed, 25 Aug 2010 22:15:18 +0000 |
| parents | eafe07d40eb7 |
| children | e8969fb822fc |
| rev | line source |
|---|---|
| 145 | 1 |
| 6 | 2 /* Float object implementation */ |
| 3 | |
| 27 | 4 /* XXX There should be overflow checks here, but it's hard to check |
| 5 for any kind of float exception without losing portability. */ | |
| 6 | |
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7 #include "Python.h" |
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8 #include "structseq.h" |
| 6 | 9 |
| 86 | 10 #include <ctype.h> |
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11 #include <float.h> |
| 6 | 12 |
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13 #undef MAX |
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14 #undef MIN |
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15 #define MAX(x, y) ((x) < (y) ? (y) : (x)) |
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16 #define MIN(x, y) ((x) < (y) ? (x) : (y)) |
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17 |
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18 |
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19 #ifdef _OSF_SOURCE |
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20 /* OSF1 5.1 doesn't make this available with XOPEN_SOURCE_EXTENDED defined */ |
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21 extern int finite(double); |
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22 #endif |
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23 |
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24 /* Special free list |
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25 |
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26 Since some Python programs can spend much of their time allocating |
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27 and deallocating floats, these operations should be very fast. |
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28 Therefore we use a dedicated allocation scheme with a much lower |
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29 overhead (in space and time) than straight malloc(): a simple |
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30 dedicated free list, filled when necessary with memory from malloc(). |
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31 |
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32 block_list is a singly-linked list of all PyFloatBlocks ever allocated, |
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33 linked via their next members. PyFloatBlocks are never returned to the |
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34 system before shutdown (PyFloat_Fini). |
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35 |
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36 free_list is a singly-linked list of available PyFloatObjects, linked |
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37 via abuse of their ob_type members. |
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38 */ |
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39 |
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40 #define BLOCK_SIZE 1000 /* 1K less typical malloc overhead */ |
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41 #define BHEAD_SIZE 8 /* Enough for a 64-bit pointer */ |
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42 #define N_FLOATOBJECTS ((BLOCK_SIZE - BHEAD_SIZE) / sizeof(PyFloatObject)) |
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43 |
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44 struct _floatblock { |
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45 struct _floatblock *next; |
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46 PyFloatObject objects[N_FLOATOBJECTS]; |
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47 }; |
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48 |
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49 typedef struct _floatblock PyFloatBlock; |
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50 |
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51 static PyFloatBlock *block_list = NULL; |
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52 static PyFloatObject *free_list = NULL; |
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53 |
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54 static PyFloatObject * |
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55 fill_free_list(void) |
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56 { |
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57 PyFloatObject *p, *q; |
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58 /* XXX Float blocks escape the object heap. Use PyObject_MALLOC ??? */ |
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59 p = (PyFloatObject *) PyMem_MALLOC(sizeof(PyFloatBlock)); |
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60 if (p == NULL) |
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61 return (PyFloatObject *) PyErr_NoMemory(); |
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62 ((PyFloatBlock *)p)->next = block_list; |
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63 block_list = (PyFloatBlock *)p; |
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64 p = &((PyFloatBlock *)p)->objects[0]; |
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65 q = p + N_FLOATOBJECTS; |
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66 while (--q > p) |
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67 Py_TYPE(q) = (struct _typeobject *)(q-1); |
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68 Py_TYPE(q) = NULL; |
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69 return p + N_FLOATOBJECTS - 1; |
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70 } |
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71 |
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72 double |
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73 PyFloat_GetMax(void) |
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74 { |
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75 return DBL_MAX; |
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76 } |
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77 |
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78 double |
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79 PyFloat_GetMin(void) |
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80 { |
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81 return DBL_MIN; |
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82 } |
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83 |
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84 static PyTypeObject FloatInfoType; |
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85 |
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86 PyDoc_STRVAR(floatinfo__doc__, |
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87 "sys.float_info\n\ |
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88 \n\ |
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89 A structseq holding information about the float type. It contains low level\n\ |
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90 information about the precision and internal representation. Please study\n\ |
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91 your system's :file:`float.h` for more information."); |
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92 |
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93 static PyStructSequence_Field floatinfo_fields[] = { |
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94 {"max", "DBL_MAX -- maximum representable finite float"}, |
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95 {"max_exp", "DBL_MAX_EXP -- maximum int e such that radix**(e-1) " |
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96 "is representable"}, |
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97 {"max_10_exp", "DBL_MAX_10_EXP -- maximum int e such that 10**e " |
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98 "is representable"}, |
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99 {"min", "DBL_MIN -- Minimum positive normalizer float"}, |
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100 {"min_exp", "DBL_MIN_EXP -- minimum int e such that radix**(e-1) " |
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101 "is a normalized float"}, |
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102 {"min_10_exp", "DBL_MIN_10_EXP -- minimum int e such that 10**e is " |
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103 "a normalized"}, |
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104 {"dig", "DBL_DIG -- digits"}, |
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105 {"mant_dig", "DBL_MANT_DIG -- mantissa digits"}, |
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106 {"epsilon", "DBL_EPSILON -- Difference between 1 and the next " |
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107 "representable float"}, |
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108 {"radix", "FLT_RADIX -- radix of exponent"}, |
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109 {"rounds", "FLT_ROUNDS -- addition rounds"}, |
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110 {0} |
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111 }; |
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112 |
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113 static PyStructSequence_Desc floatinfo_desc = { |
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114 "sys.float_info", /* name */ |
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115 floatinfo__doc__, /* doc */ |
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116 floatinfo_fields, /* fields */ |
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117 11 |
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118 }; |
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119 |
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120 PyObject * |
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121 PyFloat_GetInfo(void) |
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122 { |
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123 PyObject* floatinfo; |
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124 int pos = 0; |
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125 |
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126 floatinfo = PyStructSequence_New(&FloatInfoType); |
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127 if (floatinfo == NULL) { |
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128 return NULL; |
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129 } |
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130 |
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131 #define SetIntFlag(flag) \ |
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132 PyStructSequence_SET_ITEM(floatinfo, pos++, PyLong_FromLong(flag)) |
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133 #define SetDblFlag(flag) \ |
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134 PyStructSequence_SET_ITEM(floatinfo, pos++, PyFloat_FromDouble(flag)) |
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135 |
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136 SetDblFlag(DBL_MAX); |
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137 SetIntFlag(DBL_MAX_EXP); |
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138 SetIntFlag(DBL_MAX_10_EXP); |
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139 SetDblFlag(DBL_MIN); |
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140 SetIntFlag(DBL_MIN_EXP); |
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141 SetIntFlag(DBL_MIN_10_EXP); |
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142 SetIntFlag(DBL_DIG); |
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143 SetIntFlag(DBL_MANT_DIG); |
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144 SetDblFlag(DBL_EPSILON); |
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145 SetIntFlag(FLT_RADIX); |
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146 SetIntFlag(FLT_ROUNDS); |
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147 #undef SetIntFlag |
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148 #undef SetDblFlag |
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149 |
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150 if (PyErr_Occurred()) { |
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151 Py_CLEAR(floatinfo); |
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152 return NULL; |
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153 } |
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154 return floatinfo; |
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155 } |
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156 |
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157 PyObject * |
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158 PyFloat_FromDouble(double fval) |
| 6 | 159 { |
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160 register PyFloatObject *op; |
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161 if (free_list == NULL) { |
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162 if ((free_list = fill_free_list()) == NULL) |
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163 return NULL; |
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164 } |
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165 /* Inline PyObject_New */ |
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166 op = free_list; |
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167 free_list = (PyFloatObject *)Py_TYPE(op); |
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168 PyObject_INIT(op, &PyFloat_Type); |
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169 op->ob_fval = fval; |
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170 return (PyObject *) op; |
| 6 | 171 } |
| 172 | |
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173 PyObject * |
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174 PyFloat_FromString(PyObject *v) |
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175 { |
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176 const char *s, *last, *end; |
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177 double x; |
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178 char buffer[256]; /* for errors */ |
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179 char *s_buffer = NULL; |
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180 Py_ssize_t len; |
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181 PyObject *result = NULL; |
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182 |
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183 if (PyUnicode_Check(v)) { |
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184 s_buffer = (char *)PyMem_MALLOC(PyUnicode_GET_SIZE(v)+1); |
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185 if (s_buffer == NULL) |
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186 return PyErr_NoMemory(); |
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187 if (PyUnicode_EncodeDecimal(PyUnicode_AS_UNICODE(v), |
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188 PyUnicode_GET_SIZE(v), |
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189 s_buffer, |
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190 NULL)) |
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191 goto error; |
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192 s = s_buffer; |
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193 len = strlen(s); |
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194 } |
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195 else if (PyObject_AsCharBuffer(v, &s, &len)) { |
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196 PyErr_SetString(PyExc_TypeError, |
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197 "float() argument must be a string or a number"); |
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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 while (Py_ISSPACE(*s)) |
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203 s++; |
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204 /* We don't care about overflow or underflow. If the platform |
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205 * supports them, infinities and signed zeroes (on underflow) are |
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206 * fine. */ |
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207 x = PyOS_string_to_double(s, (char **)&end, NULL); |
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208 if (x == -1.0 && PyErr_Occurred()) |
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209 goto error; |
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210 while (Py_ISSPACE(*end)) |
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211 end++; |
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212 if (end == last) |
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213 result = PyFloat_FromDouble(x); |
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214 else { |
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215 PyOS_snprintf(buffer, sizeof(buffer), |
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216 "invalid literal for float(): %.200s", s); |
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217 PyErr_SetString(PyExc_ValueError, buffer); |
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218 result = NULL; |
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219 } |
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220 |
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221 error: |
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222 if (s_buffer) |
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223 PyMem_FREE(s_buffer); |
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224 return result; |
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225 } |
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226 |
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227 static void |
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228 float_dealloc(PyFloatObject *op) |
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229 { |
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230 if (PyFloat_CheckExact(op)) { |
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231 Py_TYPE(op) = (struct _typeobject *)free_list; |
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232 free_list = op; |
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233 } |
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234 else |
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235 Py_TYPE(op)->tp_free((PyObject *)op); |
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236 } |
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| 6 | 238 double |
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239 PyFloat_AsDouble(PyObject *op) |
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241 PyNumberMethods *nb; |
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242 PyFloatObject *fo; |
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243 double val; |
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244 |
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245 if (op && PyFloat_Check(op)) |
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246 return PyFloat_AS_DOUBLE((PyFloatObject*) op); |
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247 |
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248 if (op == NULL) { |
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249 PyErr_BadArgument(); |
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250 return -1; |
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251 } |
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252 |
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253 if ((nb = Py_TYPE(op)->tp_as_number) == NULL || nb->nb_float == NULL) { |
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254 PyErr_SetString(PyExc_TypeError, "a float is required"); |
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255 return -1; |
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256 } |
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257 |
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258 fo = (PyFloatObject*) (*nb->nb_float) (op); |
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259 if (fo == NULL) |
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260 return -1; |
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261 if (!PyFloat_Check(fo)) { |
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262 PyErr_SetString(PyExc_TypeError, |
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263 "nb_float should return float object"); |
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264 return -1; |
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265 } |
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266 |
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267 val = PyFloat_AS_DOUBLE(fo); |
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268 Py_DECREF(fo); |
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269 |
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270 return val; |
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273 /* Macro and helper that convert PyObject obj to a C double and store |
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274 the value in dbl. If conversion to double raises an exception, obj is |
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275 set to NULL, and the function invoking this macro returns NULL. If |
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276 obj is not of float, int or long type, Py_NotImplemented is incref'ed, |
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277 stored in obj, and returned from the function invoking this macro. |
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278 */ |
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279 #define CONVERT_TO_DOUBLE(obj, dbl) \ |
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280 if (PyFloat_Check(obj)) \ |
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281 dbl = PyFloat_AS_DOUBLE(obj); \ |
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282 else if (convert_to_double(&(obj), &(dbl)) < 0) \ |
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283 return obj; |
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284 |
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285 /* Methods */ |
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286 |
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287 static int |
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288 convert_to_double(PyObject **v, double *dbl) |
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289 { |
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290 register PyObject *obj = *v; |
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291 |
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292 if (PyLong_Check(obj)) { |
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293 *dbl = PyLong_AsDouble(obj); |
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294 if (*dbl == -1.0 && PyErr_Occurred()) { |
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295 *v = NULL; |
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296 return -1; |
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297 } |
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298 } |
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299 else { |
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300 Py_INCREF(Py_NotImplemented); |
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301 *v = Py_NotImplemented; |
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302 return -1; |
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303 } |
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304 return 0; |
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305 } |
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306 |
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307 static PyObject * |
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308 float_repr(PyFloatObject *v) |
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309 { |
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310 PyObject *result; |
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311 char *buf = PyOS_double_to_string(PyFloat_AS_DOUBLE(v), |
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312 'r', 0, |
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313 Py_DTSF_ADD_DOT_0, |
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314 NULL); |
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315 if (!buf) |
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316 return PyErr_NoMemory(); |
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317 result = PyUnicode_FromString(buf); |
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318 PyMem_Free(buf); |
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319 return result; |
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320 } |
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322 /* Comparison is pretty much a nightmare. When comparing float to float, |
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323 * we do it as straightforwardly (and long-windedly) as conceivable, so |
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324 * that, e.g., Python x == y delivers the same result as the platform |
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325 * C x == y when x and/or y is a NaN. |
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326 * When mixing float with an integer type, there's no good *uniform* approach. |
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327 * Converting the double to an integer obviously doesn't work, since we |
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328 * may lose info from fractional bits. Converting the integer to a double |
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329 * also has two failure modes: (1) a long int may trigger overflow (too |
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330 * large to fit in the dynamic range of a C double); (2) even a C long may have |
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331 * more bits than fit in a C double (e.g., on a a 64-bit box long may have |
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332 * 63 bits of precision, but a C double probably has only 53), and then |
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333 * we can falsely claim equality when low-order integer bits are lost by |
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334 * coercion to double. So this part is painful too. |
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335 */ |
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336 |
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337 static PyObject* |
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338 float_richcompare(PyObject *v, PyObject *w, int op) |
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339 { |
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340 double i, j; |
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341 int r = 0; |
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342 |
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343 assert(PyFloat_Check(v)); |
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344 i = PyFloat_AS_DOUBLE(v); |
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345 |
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346 /* Switch on the type of w. Set i and j to doubles to be compared, |
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347 * and op to the richcomp to use. |
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348 */ |
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349 if (PyFloat_Check(w)) |
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350 j = PyFloat_AS_DOUBLE(w); |
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351 |
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352 else if (!Py_IS_FINITE(i)) { |
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353 if (PyLong_Check(w)) |
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354 /* If i is an infinity, its magnitude exceeds any |
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355 * finite integer, so it doesn't matter which int we |
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356 * compare i with. If i is a NaN, similarly. |
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357 */ |
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358 j = 0.0; |
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359 else |
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360 goto Unimplemented; |
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361 } |
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362 |
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363 else if (PyLong_Check(w)) { |
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364 int vsign = i == 0.0 ? 0 : i < 0.0 ? -1 : 1; |
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365 int wsign = _PyLong_Sign(w); |
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366 size_t nbits; |
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367 int exponent; |
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368 |
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369 if (vsign != wsign) { |
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370 /* Magnitudes are irrelevant -- the signs alone |
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371 * determine the outcome. |
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372 */ |
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373 i = (double)vsign; |
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374 j = (double)wsign; |
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375 goto Compare; |
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376 } |
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377 /* The signs are the same. */ |
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378 /* Convert w to a double if it fits. In particular, 0 fits. */ |
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379 nbits = _PyLong_NumBits(w); |
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380 if (nbits == (size_t)-1 && PyErr_Occurred()) { |
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381 /* This long is so large that size_t isn't big enough |
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382 * to hold the # of bits. Replace with little doubles |
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383 * that give the same outcome -- w is so large that |
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384 * its magnitude must exceed the magnitude of any |
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385 * finite float. |
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386 */ |
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387 PyErr_Clear(); |
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388 i = (double)vsign; |
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389 assert(wsign != 0); |
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390 j = wsign * 2.0; |
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391 goto Compare; |
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392 } |
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393 if (nbits <= 48) { |
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394 j = PyLong_AsDouble(w); |
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395 /* It's impossible that <= 48 bits overflowed. */ |
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396 assert(j != -1.0 || ! PyErr_Occurred()); |
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397 goto Compare; |
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398 } |
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399 assert(wsign != 0); /* else nbits was 0 */ |
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400 assert(vsign != 0); /* if vsign were 0, then since wsign is |
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401 * not 0, we would have taken the |
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402 * vsign != wsign branch at the start */ |
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403 /* We want to work with non-negative numbers. */ |
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404 if (vsign < 0) { |
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405 /* "Multiply both sides" by -1; this also swaps the |
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406 * comparator. |
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407 */ |
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408 i = -i; |
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409 op = _Py_SwappedOp[op]; |
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410 } |
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411 assert(i > 0.0); |
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412 (void) frexp(i, &exponent); |
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413 /* exponent is the # of bits in v before the radix point; |
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414 * we know that nbits (the # of bits in w) > 48 at this point |
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415 */ |
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416 if (exponent < 0 || (size_t)exponent < nbits) { |
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417 i = 1.0; |
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418 j = 2.0; |
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419 goto Compare; |
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420 } |
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421 if ((size_t)exponent > nbits) { |
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422 i = 2.0; |
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423 j = 1.0; |
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424 goto Compare; |
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425 } |
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426 /* v and w have the same number of bits before the radix |
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427 * point. Construct two longs that have the same comparison |
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428 * outcome. |
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429 */ |
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430 { |
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431 double fracpart; |
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432 double intpart; |
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433 PyObject *result = NULL; |
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434 PyObject *one = NULL; |
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435 PyObject *vv = NULL; |
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436 PyObject *ww = w; |
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437 |
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438 if (wsign < 0) { |
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439 ww = PyNumber_Negative(w); |
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440 if (ww == NULL) |
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441 goto Error; |
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442 } |
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443 else |
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444 Py_INCREF(ww); |
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445 |
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446 fracpart = modf(i, &intpart); |
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447 vv = PyLong_FromDouble(intpart); |
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448 if (vv == NULL) |
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449 goto Error; |
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450 |
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451 if (fracpart != 0.0) { |
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452 /* Shift left, and or a 1 bit into vv |
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453 * to represent the lost fraction. |
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454 */ |
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455 PyObject *temp; |
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456 |
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457 one = PyLong_FromLong(1); |
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458 if (one == NULL) |
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459 goto Error; |
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460 |
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461 temp = PyNumber_Lshift(ww, one); |
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462 if (temp == NULL) |
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463 goto Error; |
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464 Py_DECREF(ww); |
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465 ww = temp; |
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466 |
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467 temp = PyNumber_Lshift(vv, one); |
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468 if (temp == NULL) |
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469 goto Error; |
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470 Py_DECREF(vv); |
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471 vv = temp; |
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472 |
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473 temp = PyNumber_Or(vv, one); |
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474 if (temp == NULL) |
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475 goto Error; |
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476 Py_DECREF(vv); |
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477 vv = temp; |
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478 } |
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479 |
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480 r = PyObject_RichCompareBool(vv, ww, op); |
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481 if (r < 0) |
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482 goto Error; |
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483 result = PyBool_FromLong(r); |
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484 Error: |
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485 Py_XDECREF(vv); |
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486 Py_XDECREF(ww); |
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487 Py_XDECREF(one); |
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488 return result; |
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489 } |
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490 } /* else if (PyLong_Check(w)) */ |
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491 |
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492 else /* w isn't float, int, or long */ |
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493 goto Unimplemented; |
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494 |
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495 Compare: |
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496 PyFPE_START_PROTECT("richcompare", return NULL) |
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497 switch (op) { |
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498 case Py_EQ: |
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499 r = i == j; |
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500 break; |
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501 case Py_NE: |
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502 r = i != j; |
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503 break; |
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504 case Py_LE: |
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505 r = i <= j; |
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506 break; |
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507 case Py_GE: |
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508 r = i >= j; |
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509 break; |
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510 case Py_LT: |
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511 r = i < j; |
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512 break; |
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513 case Py_GT: |
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514 r = i > j; |
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515 break; |
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516 } |
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517 PyFPE_END_PROTECT(r) |
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518 return PyBool_FromLong(r); |
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519 |
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520 Unimplemented: |
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521 Py_INCREF(Py_NotImplemented); |
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522 return Py_NotImplemented; |
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523 } |
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524 |
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* Changed all copyright messages to include 1993.
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525 static long |
|
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526 float_hash(PyFloatObject *v) |
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527 { |
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528 return _Py_HashDouble(v->ob_fval); |
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529 } |
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530 |
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531 static PyObject * |
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Neil Schemenauer <nascheme@enme.ucalgary.ca>
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532 float_add(PyObject *v, PyObject *w) |
| 6 | 533 { |
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534 double a,b; |
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535 CONVERT_TO_DOUBLE(v, a); |
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536 CONVERT_TO_DOUBLE(w, b); |
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537 PyFPE_START_PROTECT("add", return 0) |
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538 a = a + b; |
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539 PyFPE_END_PROTECT(a) |
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540 return PyFloat_FromDouble(a); |
| 6 | 541 } |
| 542 | |
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543 static PyObject * |
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544 float_sub(PyObject *v, PyObject *w) |
| 6 | 545 { |
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546 double a,b; |
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547 CONVERT_TO_DOUBLE(v, a); |
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548 CONVERT_TO_DOUBLE(w, b); |
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549 PyFPE_START_PROTECT("subtract", return 0) |
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550 a = a - b; |
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551 PyFPE_END_PROTECT(a) |
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552 return PyFloat_FromDouble(a); |
| 6 | 553 } |
| 554 | |
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555 static PyObject * |
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556 float_mul(PyObject *v, PyObject *w) |
| 6 | 557 { |
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558 double a,b; |
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559 CONVERT_TO_DOUBLE(v, a); |
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560 CONVERT_TO_DOUBLE(w, b); |
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561 PyFPE_START_PROTECT("multiply", return 0) |
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562 a = a * b; |
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563 PyFPE_END_PROTECT(a) |
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564 return PyFloat_FromDouble(a); |
| 6 | 565 } |
| 566 | |
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567 static PyObject * |
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568 float_div(PyObject *v, PyObject *w) |
| 6 | 569 { |
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570 double a,b; |
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571 CONVERT_TO_DOUBLE(v, a); |
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572 CONVERT_TO_DOUBLE(w, b); |
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573 #ifdef Py_NAN |
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574 if (b == 0.0) { |
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575 PyErr_SetString(PyExc_ZeroDivisionError, |
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576 "float division by zero"); |
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577 return NULL; |
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578 } |
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579 #endif |
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580 PyFPE_START_PROTECT("divide", return 0) |
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581 a = a / b; |
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582 PyFPE_END_PROTECT(a) |
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583 return PyFloat_FromDouble(a); |
| 6 | 584 } |
| 585 | |
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586 static PyObject * |
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587 float_rem(PyObject *v, PyObject *w) |
| 6 | 588 { |
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589 double vx, wx; |
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590 double mod; |
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591 CONVERT_TO_DOUBLE(v, vx); |
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592 CONVERT_TO_DOUBLE(w, wx); |
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593 #ifdef Py_NAN |
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594 if (wx == 0.0) { |
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595 PyErr_SetString(PyExc_ZeroDivisionError, |
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596 "float modulo"); |
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597 return NULL; |
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598 } |
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599 #endif |
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600 PyFPE_START_PROTECT("modulo", return 0) |
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601 mod = fmod(vx, wx); |
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602 /* note: checking mod*wx < 0 is incorrect -- underflows to |
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603 0 if wx < sqrt(smallest nonzero double) */ |
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604 if (mod && ((wx < 0) != (mod < 0))) { |
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605 mod += wx; |
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606 } |
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607 PyFPE_END_PROTECT(mod) |
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608 return PyFloat_FromDouble(mod); |
| 6 | 609 } |
| 610 | |
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611 static PyObject * |
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612 float_divmod(PyObject *v, PyObject *w) |
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613 { |
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614 double vx, wx; |
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615 double div, mod, floordiv; |
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616 CONVERT_TO_DOUBLE(v, vx); |
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617 CONVERT_TO_DOUBLE(w, wx); |
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618 if (wx == 0.0) { |
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619 PyErr_SetString(PyExc_ZeroDivisionError, "float divmod()"); |
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620 return NULL; |
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621 } |
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622 PyFPE_START_PROTECT("divmod", return 0) |
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623 mod = fmod(vx, wx); |
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624 /* fmod is typically exact, so vx-mod is *mathematically* an |
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625 exact multiple of wx. But this is fp arithmetic, and fp |
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626 vx - mod is an approximation; the result is that div may |
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627 not be an exact integral value after the division, although |
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628 it will always be very close to one. |
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629 */ |
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630 div = (vx - mod) / wx; |
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631 if (mod) { |
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632 /* ensure the remainder has the same sign as the denominator */ |
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633 if ((wx < 0) != (mod < 0)) { |
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634 mod += wx; |
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635 div -= 1.0; |
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636 } |
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637 } |
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638 else { |
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639 /* the remainder is zero, and in the presence of signed zeroes |
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640 fmod returns different results across platforms; ensure |
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641 it has the same sign as the denominator; we'd like to do |
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642 "mod = wx * 0.0", but that may get optimized away */ |
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643 mod *= mod; /* hide "mod = +0" from optimizer */ |
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644 if (wx < 0.0) |
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645 mod = -mod; |
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646 } |
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647 /* snap quotient to nearest integral value */ |
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648 if (div) { |
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649 floordiv = floor(div); |
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650 if (div - floordiv > 0.5) |
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651 floordiv += 1.0; |
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652 } |
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653 else { |
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654 /* div is zero - get the same sign as the true quotient */ |
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655 div *= div; /* hide "div = +0" from optimizers */ |
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656 floordiv = div * vx / wx; /* zero w/ sign of vx/wx */ |
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657 } |
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658 PyFPE_END_PROTECT(floordiv) |
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659 return Py_BuildValue("(dd)", floordiv, mod); |
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660 } |
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661 |
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662 static PyObject * |
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663 float_floor_div(PyObject *v, PyObject *w) |
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664 { |
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665 PyObject *t, *r; |
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666 |
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667 t = float_divmod(v, w); |
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668 if (t == NULL || t == Py_NotImplemented) |
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669 return t; |
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670 assert(PyTuple_CheckExact(t)); |
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671 r = PyTuple_GET_ITEM(t, 0); |
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672 Py_INCREF(r); |
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673 Py_DECREF(t); |
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674 return r; |
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675 } |
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676 |
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677 /* determine whether x is an odd integer or not; assumes that |
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678 x is not an infinity or nan. */ |
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679 #define DOUBLE_IS_ODD_INTEGER(x) (fmod(fabs(x), 2.0) == 1.0) |
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680 |
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681 static PyObject * |
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682 float_pow(PyObject *v, PyObject *w, PyObject *z) |
| 6 | 683 { |
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684 double iv, iw, ix; |
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685 int negate_result = 0; |
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686 |
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687 if ((PyObject *)z != Py_None) { |
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688 PyErr_SetString(PyExc_TypeError, "pow() 3rd argument not " |
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689 "allowed unless all arguments are integers"); |
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690 return NULL; |
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691 } |
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692 |
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693 CONVERT_TO_DOUBLE(v, iv); |
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694 CONVERT_TO_DOUBLE(w, iw); |
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695 |
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696 /* Sort out special cases here instead of relying on pow() */ |
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697 if (iw == 0) { /* v**0 is 1, even 0**0 */ |
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698 return PyFloat_FromDouble(1.0); |
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699 } |
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700 if (Py_IS_NAN(iv)) { /* nan**w = nan, unless w == 0 */ |
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701 return PyFloat_FromDouble(iv); |
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702 } |
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703 if (Py_IS_NAN(iw)) { /* v**nan = nan, unless v == 1; 1**nan = 1 */ |
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704 return PyFloat_FromDouble(iv == 1.0 ? 1.0 : iw); |
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705 } |
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706 if (Py_IS_INFINITY(iw)) { |
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707 /* v**inf is: 0.0 if abs(v) < 1; 1.0 if abs(v) == 1; inf if |
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708 * abs(v) > 1 (including case where v infinite) |
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709 * |
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710 * v**-inf is: inf if abs(v) < 1; 1.0 if abs(v) == 1; 0.0 if |
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711 * abs(v) > 1 (including case where v infinite) |
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712 */ |
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713 iv = fabs(iv); |
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714 if (iv == 1.0) |
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715 return PyFloat_FromDouble(1.0); |
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716 else if ((iw > 0.0) == (iv > 1.0)) |
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717 return PyFloat_FromDouble(fabs(iw)); /* return inf */ |
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718 else |
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719 return PyFloat_FromDouble(0.0); |
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720 } |
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721 if (Py_IS_INFINITY(iv)) { |
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722 /* (+-inf)**w is: inf for w positive, 0 for w negative; in |
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723 * both cases, we need to add the appropriate sign if w is |
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724 * an odd integer. |
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725 */ |
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726 int iw_is_odd = DOUBLE_IS_ODD_INTEGER(iw); |
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727 if (iw > 0.0) |
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728 return PyFloat_FromDouble(iw_is_odd ? iv : fabs(iv)); |
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729 else |
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730 return PyFloat_FromDouble(iw_is_odd ? |
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731 copysign(0.0, iv) : 0.0); |
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732 } |
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733 if (iv == 0.0) { /* 0**w is: 0 for w positive, 1 for w zero |
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734 (already dealt with above), and an error |
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735 if w is negative. */ |
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736 int iw_is_odd = DOUBLE_IS_ODD_INTEGER(iw); |
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737 if (iw < 0.0) { |
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738 PyErr_SetString(PyExc_ZeroDivisionError, |
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739 "0.0 cannot be raised to a " |
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740 "negative power"); |
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741 return NULL; |
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742 } |
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743 /* use correct sign if iw is odd */ |
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744 return PyFloat_FromDouble(iw_is_odd ? iv : 0.0); |
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745 } |
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746 |
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747 if (iv < 0.0) { |
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748 /* Whether this is an error is a mess, and bumps into libm |
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749 * bugs so we have to figure it out ourselves. |
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750 */ |
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751 if (iw != floor(iw)) { |
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752 /* Negative numbers raised to fractional powers |
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753 * become complex. |
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754 */ |
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755 return PyComplex_Type.tp_as_number->nb_power(v, w, z); |
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756 } |
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757 /* iw is an exact integer, albeit perhaps a very large |
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758 * one. Replace iv by its absolute value and remember |
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759 * to negate the pow result if iw is odd. |
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760 */ |
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761 iv = -iv; |
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762 negate_result = DOUBLE_IS_ODD_INTEGER(iw); |
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763 } |
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764 |
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765 if (iv == 1.0) { /* 1**w is 1, even 1**inf and 1**nan */ |
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766 /* (-1) ** large_integer also ends up here. Here's an |
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767 * extract from the comments for the previous |
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768 * implementation explaining why this special case is |
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769 * necessary: |
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770 * |
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771 * -1 raised to an exact integer should never be exceptional. |
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772 * Alas, some libms (chiefly glibc as of early 2003) return |
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773 * NaN and set EDOM on pow(-1, large_int) if the int doesn't |
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774 * happen to be representable in a *C* integer. That's a |
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775 * bug. |
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776 */ |
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777 return PyFloat_FromDouble(negate_result ? -1.0 : 1.0); |
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778 } |
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779 |
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780 /* Now iv and iw are finite, iw is nonzero, and iv is |
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781 * positive and not equal to 1.0. We finally allow |
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782 * the platform pow to step in and do the rest. |
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783 */ |
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784 errno = 0; |
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785 PyFPE_START_PROTECT("pow", return NULL) |
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786 ix = pow(iv, iw); |
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787 PyFPE_END_PROTECT(ix) |
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788 Py_ADJUST_ERANGE1(ix); |
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789 if (negate_result) |
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790 ix = -ix; |
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791 |
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792 if (errno != 0) { |
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793 /* We don't expect any errno value other than ERANGE, but |
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794 * the range of libm bugs appears unbounded. |
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795 */ |
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796 PyErr_SetFromErrno(errno == ERANGE ? PyExc_OverflowError : |
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797 PyExc_ValueError); |
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798 return NULL; |
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799 } |
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800 return PyFloat_FromDouble(ix); |
| 6 | 801 } |
| 802 | |
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803 #undef DOUBLE_IS_ODD_INTEGER |
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804 |
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805 static PyObject * |
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806 float_neg(PyFloatObject *v) |
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808 return PyFloat_FromDouble(-v->ob_fval); |
| 6 | 809 } |
| 810 | |
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811 static PyObject * |
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812 float_abs(PyFloatObject *v) |
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813 { |
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814 return PyFloat_FromDouble(fabs(v->ob_fval)); |
| 6 | 815 } |
| 816 | |
| 239 | 817 static int |
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818 float_bool(PyFloatObject *v) |
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820 return v->ob_fval != 0.0; |
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823 static PyObject * |
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824 float_is_integer(PyObject *v) |
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825 { |
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826 double x = PyFloat_AsDouble(v); |
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827 PyObject *o; |
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828 |
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829 if (x == -1.0 && PyErr_Occurred()) |
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830 return NULL; |
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831 if (!Py_IS_FINITE(x)) |
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832 Py_RETURN_FALSE; |
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833 errno = 0; |
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834 PyFPE_START_PROTECT("is_integer", return NULL) |
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835 o = (floor(x) == x) ? Py_True : Py_False; |
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836 PyFPE_END_PROTECT(x) |
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837 if (errno != 0) { |
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838 PyErr_SetFromErrno(errno == ERANGE ? PyExc_OverflowError : |
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839 PyExc_ValueError); |
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840 return NULL; |
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841 } |
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842 Py_INCREF(o); |
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843 return o; |
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844 } |
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845 |
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846 #if 0 |
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847 static PyObject * |
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848 float_is_inf(PyObject *v) |
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849 { |
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850 double x = PyFloat_AsDouble(v); |
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851 if (x == -1.0 && PyErr_Occurred()) |
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852 return NULL; |
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853 return PyBool_FromLong((long)Py_IS_INFINITY(x)); |
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854 } |
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855 |
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856 static PyObject * |
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857 float_is_nan(PyObject *v) |
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858 { |
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859 double x = PyFloat_AsDouble(v); |
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860 if (x == -1.0 && PyErr_Occurred()) |
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861 return NULL; |
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862 return PyBool_FromLong((long)Py_IS_NAN(x)); |
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863 } |
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864 |
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865 static PyObject * |
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866 float_is_finite(PyObject *v) |
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867 { |
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868 double x = PyFloat_AsDouble(v); |
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869 if (x == -1.0 && PyErr_Occurred()) |
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870 return NULL; |
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871 return PyBool_FromLong((long)Py_IS_FINITE(x)); |
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872 } |
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873 #endif |
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874 |
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875 static PyObject * |
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876 float_trunc(PyObject *v) |
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877 { |
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878 double x = PyFloat_AsDouble(v); |
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879 double wholepart; /* integral portion of x, rounded toward 0 */ |
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880 |
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881 (void)modf(x, &wholepart); |
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882 /* Try to get out cheap if this fits in a Python int. The attempt |
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883 * to cast to long must be protected, as C doesn't define what |
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884 * happens if the double is too big to fit in a long. Some rare |
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885 * systems raise an exception then (RISCOS was mentioned as one, |
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886 * and someone using a non-default option on Sun also bumped into |
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887 * that). Note that checking for >= and <= LONG_{MIN,MAX} would |
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888 * still be vulnerable: if a long has more bits of precision than |
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889 * a double, casting MIN/MAX to double may yield an approximation, |
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890 * and if that's rounded up, then, e.g., wholepart=LONG_MAX+1 would |
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891 * yield true from the C expression wholepart<=LONG_MAX, despite |
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892 * that wholepart is actually greater than LONG_MAX. |
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893 */ |
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894 if (LONG_MIN < wholepart && wholepart < LONG_MAX) { |
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895 const long aslong = (long)wholepart; |
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896 return PyLong_FromLong(aslong); |
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897 } |
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898 return PyLong_FromDouble(wholepart); |
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899 } |
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900 |
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901 /* double_round: rounds a finite double to the closest multiple of |
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902 10**-ndigits; here ndigits is within reasonable bounds (typically, -308 <= |
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903 ndigits <= 323). Returns a Python float, or sets a Python error and |
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904 returns NULL on failure (OverflowError and memory errors are possible). */ |
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905 |
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906 #ifndef PY_NO_SHORT_FLOAT_REPR |
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907 /* version of double_round that uses the correctly-rounded string<->double |
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908 conversions from Python/dtoa.c */ |
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909 |
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910 static PyObject * |
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911 double_round(double x, int ndigits) { |
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912 |
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913 double rounded; |
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914 Py_ssize_t buflen, mybuflen=100; |
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915 char *buf, *buf_end, shortbuf[100], *mybuf=shortbuf; |
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916 int decpt, sign; |
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917 PyObject *result = NULL; |
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918 |
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919 /* round to a decimal string */ |
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920 buf = _Py_dg_dtoa(x, 3, ndigits, &decpt, &sign, &buf_end); |
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921 if (buf == NULL) { |
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922 PyErr_NoMemory(); |
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923 return NULL; |
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924 } |
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925 |
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926 /* Get new buffer if shortbuf is too small. Space needed <= buf_end - |
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927 buf + 8: (1 extra for '0', 1 for sign, 5 for exp, 1 for '\0'). */ |
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928 buflen = buf_end - buf; |
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929 if (buflen + 8 > mybuflen) { |
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930 mybuflen = buflen+8; |
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931 mybuf = (char *)PyMem_Malloc(mybuflen); |
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932 if (mybuf == NULL) { |
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933 PyErr_NoMemory(); |
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934 goto exit; |
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935 } |
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936 } |
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937 /* copy buf to mybuf, adding exponent, sign and leading 0 */ |
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938 PyOS_snprintf(mybuf, mybuflen, "%s0%se%d", (sign ? "-" : ""), |
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939 buf, decpt - (int)buflen); |
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940 |
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941 /* and convert the resulting string back to a double */ |
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942 errno = 0; |
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943 rounded = _Py_dg_strtod(mybuf, NULL); |
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944 if (errno == ERANGE && fabs(rounded) >= 1.) |
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945 PyErr_SetString(PyExc_OverflowError, |
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946 "rounded value too large to represent"); |
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947 else |
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948 result = PyFloat_FromDouble(rounded); |
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949 |
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950 /* done computing value; now clean up */ |
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951 if (mybuf != shortbuf) |
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952 PyMem_Free(mybuf); |
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953 exit: |
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954 _Py_dg_freedtoa(buf); |
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955 return result; |
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956 } |
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957 |
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958 #else /* PY_NO_SHORT_FLOAT_REPR */ |
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959 |
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960 /* fallback version, to be used when correctly rounded binary<->decimal |
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961 conversions aren't available */ |
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962 |
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963 static PyObject * |
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964 double_round(double x, int ndigits) { |
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965 double pow1, pow2, y, z; |
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966 if (ndigits >= 0) { |
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967 if (ndigits > 22) { |
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968 /* pow1 and pow2 are each safe from overflow, but |
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969 pow1*pow2 ~= pow(10.0, ndigits) might overflow */ |
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970 pow1 = pow(10.0, (double)(ndigits-22)); |
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971 pow2 = 1e22; |
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972 } |
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973 else { |
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974 pow1 = pow(10.0, (double)ndigits); |
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975 pow2 = 1.0; |
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976 } |
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977 y = (x*pow1)*pow2; |
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978 /* if y overflows, then rounded value is exactly x */ |
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979 if (!Py_IS_FINITE(y)) |
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980 return PyFloat_FromDouble(x); |
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981 } |
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982 else { |
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983 pow1 = pow(10.0, (double)-ndigits); |
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984 pow2 = 1.0; /* unused; silences a gcc compiler warning */ |
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985 y = x / pow1; |
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986 } |
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987 |
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988 z = round(y); |
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989 if (fabs(y-z) == 0.5) |
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990 /* halfway between two integers; use round-half-even */ |
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991 z = 2.0*round(y/2.0); |
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992 |
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993 if (ndigits >= 0) |
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994 z = (z / pow2) / pow1; |
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995 else |
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996 z *= pow1; |
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997 |
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998 /* if computation resulted in overflow, raise OverflowError */ |
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999 if (!Py_IS_FINITE(z)) { |
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1000 PyErr_SetString(PyExc_OverflowError, |
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1001 "overflow occurred during round"); |
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1002 return NULL; |
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1003 } |
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1004 |
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1005 return PyFloat_FromDouble(z); |
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1006 } |
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1007 |
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1008 #endif /* PY_NO_SHORT_FLOAT_REPR */ |
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1009 |
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1010 /* round a Python float v to the closest multiple of 10**-ndigits */ |
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1011 |
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1012 static PyObject * |
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1013 float_round(PyObject *v, PyObject *args) |
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1014 { |
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1015 double x, rounded; |
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1016 PyObject *o_ndigits = NULL; |
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1017 Py_ssize_t ndigits; |
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1018 |
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1019 x = PyFloat_AsDouble(v); |
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1020 if (!PyArg_ParseTuple(args, "|O", &o_ndigits)) |
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1021 return NULL; |
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1022 if (o_ndigits == NULL) { |
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1023 /* single-argument round: round to nearest integer */ |
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1024 rounded = round(x); |
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1025 if (fabs(x-rounded) == 0.5) |
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1026 /* halfway case: round to even */ |
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1027 rounded = 2.0*round(x/2.0); |
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1028 return PyLong_FromDouble(rounded); |
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1029 } |
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1030 |
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1031 /* interpret second argument as a Py_ssize_t; clips on overflow */ |
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1032 ndigits = PyNumber_AsSsize_t(o_ndigits, NULL); |
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1033 if (ndigits == -1 && PyErr_Occurred()) |
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1034 return NULL; |
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1035 |
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1036 /* nans and infinities round to themselves */ |
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1037 if (!Py_IS_FINITE(x)) |
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1038 return PyFloat_FromDouble(x); |
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1039 |
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1040 /* Deal with extreme values for ndigits. For ndigits > NDIGITS_MAX, x |
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1041 always rounds to itself. For ndigits < NDIGITS_MIN, x always |
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1042 rounds to +-0.0. Here 0.30103 is an upper bound for log10(2). */ |
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1043 #define NDIGITS_MAX ((int)((DBL_MANT_DIG-DBL_MIN_EXP) * 0.30103)) |
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1044 #define NDIGITS_MIN (-(int)((DBL_MAX_EXP + 1) * 0.30103)) |
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1045 if (ndigits > NDIGITS_MAX) |
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1046 /* return x */ |
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1047 return PyFloat_FromDouble(x); |
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1048 else if (ndigits < NDIGITS_MIN) |
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1049 /* return 0.0, but with sign of x */ |
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1050 return PyFloat_FromDouble(0.0*x); |
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1051 else |
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1052 /* finite x, and ndigits is not unreasonably large */ |
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1053 return double_round(x, (int)ndigits); |
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1054 #undef NDIGITS_MAX |
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1055 #undef NDIGITS_MIN |
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1056 } |
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1057 |
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1058 static PyObject * |
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1059 float_float(PyObject *v) |
|
1049
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1060 { |
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1061 if (PyFloat_CheckExact(v)) |
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1062 Py_INCREF(v); |
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1063 else |
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1064 v = PyFloat_FromDouble(((PyFloatObject *)v)->ob_fval); |
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1065 return v; |
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1049
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1066 } |
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1067 |
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1068 /* turn ASCII hex characters into integer values and vice versa */ |
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1069 |
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1070 static char |
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1071 char_from_hex(int x) |
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1072 { |
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1073 assert(0 <= x && x < 16); |
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1074 return "0123456789abcdef"[x]; |
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1075 } |
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1076 |
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1077 static int |
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1078 hex_from_char(char c) { |
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1079 int x; |
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1080 switch(c) { |
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1081 case '0': |
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1082 x = 0; |
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1083 break; |
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1084 case '1': |
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1085 x = 1; |
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1086 break; |
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1087 case '2': |
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1088 x = 2; |
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1089 break; |
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1090 case '3': |
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1091 x = 3; |
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1092 break; |
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1093 case '4': |
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1094 x = 4; |
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1096 case '5': |
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1097 x = 5; |
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1099 case '6': |
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1100 x = 6; |
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1102 case '7': |
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1105 case '8': |
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1108 case '9': |
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1111 case 'a': |
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1112 case 'A': |
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1113 x = 10; |
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1115 case 'b': |
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1116 case 'B': |
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1117 x = 11; |
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1119 case 'c': |
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1127 case 'e': |
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1128 case 'E': |
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1129 x = 14; |
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1130 break; |
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1131 case 'f': |
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1132 case 'F': |
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1133 x = 15; |
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1134 break; |
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1135 default: |
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1136 x = -1; |
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1137 break; |
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1138 } |
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1139 return x; |
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1140 } |
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1141 |
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1142 /* convert a float to a hexadecimal string */ |
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1143 |
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1144 /* TOHEX_NBITS is DBL_MANT_DIG rounded up to the next integer |
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1145 of the form 4k+1. */ |
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1146 #define TOHEX_NBITS DBL_MANT_DIG + 3 - (DBL_MANT_DIG+2)%4 |
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1147 |
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1148 static PyObject * |
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1149 float_hex(PyObject *v) |
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1150 { |
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1151 double x, m; |
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1152 int e, shift, i, si, esign; |
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1153 /* Space for 1+(TOHEX_NBITS-1)/4 digits, a decimal point, and the |
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1154 trailing NUL byte. */ |
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1155 char s[(TOHEX_NBITS-1)/4+3]; |
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1156 |
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1157 CONVERT_TO_DOUBLE(v, x); |
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1158 |
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1159 if (Py_IS_NAN(x) || Py_IS_INFINITY(x)) |
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1160 return float_repr((PyFloatObject *)v); |
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1161 |
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1162 if (x == 0.0) { |
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1163 if (copysign(1.0, x) == -1.0) |
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1164 return PyUnicode_FromString("-0x0.0p+0"); |
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1165 else |
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1166 return PyUnicode_FromString("0x0.0p+0"); |
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1167 } |
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1168 |
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1169 m = frexp(fabs(x), &e); |
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1170 shift = 1 - MAX(DBL_MIN_EXP - e, 0); |
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1171 m = ldexp(m, shift); |
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1172 e -= shift; |
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1173 |
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1174 si = 0; |
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1175 s[si] = char_from_hex((int)m); |
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1176 si++; |
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1177 m -= (int)m; |
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1178 s[si] = '.'; |
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1179 si++; |
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1180 for (i=0; i < (TOHEX_NBITS-1)/4; i++) { |
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1181 m *= 16.0; |
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1182 s[si] = char_from_hex((int)m); |
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1183 si++; |
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1184 m -= (int)m; |
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1185 } |
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1186 s[si] = '\0'; |
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1187 |
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1188 if (e < 0) { |
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1189 esign = (int)'-'; |
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1190 e = -e; |
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1191 } |
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1192 else |
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1193 esign = (int)'+'; |
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1194 |
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1195 if (x < 0.0) |
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1196 return PyUnicode_FromFormat("-0x%sp%c%d", s, esign, e); |
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1197 else |
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1198 return PyUnicode_FromFormat("0x%sp%c%d", s, esign, e); |
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1199 } |
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1200 |
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1201 PyDoc_STRVAR(float_hex_doc, |
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1202 "float.hex() -> string\n\ |
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1203 \n\ |
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1204 Return a hexadecimal representation of a floating-point number.\n\ |
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1205 >>> (-0.1).hex()\n\ |
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1206 '-0x1.999999999999ap-4'\n\ |
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1207 >>> 3.14159.hex()\n\ |
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1208 '0x1.921f9f01b866ep+1'"); |
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1209 |
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1210 /* Convert a hexadecimal string to a float. */ |
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1211 |
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1212 static PyObject * |
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1213 float_fromhex(PyObject *cls, PyObject *arg) |
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1214 { |
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1215 PyObject *result_as_float, *result; |
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1216 double x; |
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1217 long exp, top_exp, lsb, key_digit; |
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1218 char *s, *coeff_start, *s_store, *coeff_end, *exp_start, *s_end; |
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1219 int half_eps, digit, round_up, negate=0; |
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1220 Py_ssize_t length, ndigits, fdigits, i; |
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1221 |
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1222 /* |
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1223 * For the sake of simplicity and correctness, we impose an artificial |
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1224 * limit on ndigits, the total number of hex digits in the coefficient |
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1225 * The limit is chosen to ensure that, writing exp for the exponent, |
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1226 * |
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1227 * (1) if exp > LONG_MAX/2 then the value of the hex string is |
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1228 * guaranteed to overflow (provided it's nonzero) |
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1229 * |
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1230 * (2) if exp < LONG_MIN/2 then the value of the hex string is |
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1231 * guaranteed to underflow to 0. |
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1232 * |
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1233 * (3) if LONG_MIN/2 <= exp <= LONG_MAX/2 then there's no danger of |
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1234 * overflow in the calculation of exp and top_exp below. |
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1235 * |
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1236 * More specifically, ndigits is assumed to satisfy the following |
|
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|
1237 * inequalities: |
|
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|
1238 * |
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|
1239 * 4*ndigits <= DBL_MIN_EXP - DBL_MANT_DIG - LONG_MIN/2 |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
1240 * 4*ndigits <= LONG_MAX/2 + 1 - DBL_MAX_EXP |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
1241 * |
|
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|
1242 * If either of these inequalities is not satisfied, a ValueError is |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
1243 * raised. Otherwise, write x for the value of the hex string, and |
|
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|
1244 * assume x is nonzero. Then |
|
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|
1245 * |
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|
1246 * 2**(exp-4*ndigits) <= |x| < 2**(exp+4*ndigits). |
|
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|
1247 * |
|
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|
1248 * Now if exp > LONG_MAX/2 then: |
|
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|
1249 * |
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|
1250 * exp - 4*ndigits >= LONG_MAX/2 + 1 - (LONG_MAX/2 + 1 - DBL_MAX_EXP) |
|
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|
1251 * = DBL_MAX_EXP |
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1252 * |
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|
1253 * so |x| >= 2**DBL_MAX_EXP, which is too large to be stored in C |
|
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|
1254 * double, so overflows. If exp < LONG_MIN/2, then |
|
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|
1255 * |
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|
1256 * exp + 4*ndigits <= LONG_MIN/2 - 1 + ( |
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|
1257 * DBL_MIN_EXP - DBL_MANT_DIG - LONG_MIN/2) |
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1258 * = DBL_MIN_EXP - DBL_MANT_DIG - 1 |
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1259 * |
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|
1260 * and so |x| < 2**(DBL_MIN_EXP-DBL_MANT_DIG-1), hence underflows to 0 |
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1261 * when converted to a C double. |
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1262 * |
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1263 * It's easy to show that if LONG_MIN/2 <= exp <= LONG_MAX/2 then both |
|
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1264 * exp+4*ndigits and exp-4*ndigits are within the range of a long. |
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1265 */ |
|
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|
1266 |
|
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|
1267 s = _PyUnicode_AsStringAndSize(arg, &length); |
|
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|
1268 if (s == NULL) |
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1269 return NULL; |
|
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|
1270 s_end = s + length; |
|
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|
1271 |
|
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|
1272 /******************** |
|
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1273 * Parse the string * |
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|
1274 ********************/ |
|
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|
1275 |
|
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|
1276 /* leading whitespace */ |
|
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|
1277 while (Py_ISSPACE(*s)) |
|
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|
1278 s++; |
|
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|
1279 |
|
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|
1280 /* infinities and nans */ |
|
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1281 x = _Py_parse_inf_or_nan(s, &coeff_end); |
|
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|
1282 if (coeff_end != s) { |
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|
1283 s = coeff_end; |
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|
1284 goto finished; |
|
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|
1285 } |
|
54232
4501b638fc3f
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|
1286 |
|
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|
1287 /* optional sign */ |
|
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1288 if (*s == '-') { |
|
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1289 s++; |
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|
1290 negate = 1; |
|
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1291 } |
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1292 else if (*s == '+') |
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1293 s++; |
|
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|
1294 |
|
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|
1295 /* [0x] */ |
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|
1296 s_store = s; |
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1297 if (*s == '0') { |
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1298 s++; |
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1299 if (*s == 'x' || *s == 'X') |
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1300 s++; |
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1301 else |
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1302 s = s_store; |
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1303 } |
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|
1304 |
|
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|
1305 /* coefficient: <integer> [. <fraction>] */ |
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1306 coeff_start = s; |
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1307 while (hex_from_char(*s) >= 0) |
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1308 s++; |
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1309 s_store = s; |
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1310 if (*s == '.') { |
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1311 s++; |
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1312 while (hex_from_char(*s) >= 0) |
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1313 s++; |
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|
1314 coeff_end = s-1; |
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1315 } |
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1316 else |
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1317 coeff_end = s; |
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|
1318 |
|
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1319 /* ndigits = total # of hex digits; fdigits = # after point */ |
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1320 ndigits = coeff_end - coeff_start; |
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1321 fdigits = coeff_end - s_store; |
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1322 if (ndigits == 0) |
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1323 goto parse_error; |
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1324 if (ndigits > MIN(DBL_MIN_EXP - DBL_MANT_DIG - LONG_MIN/2, |
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1325 LONG_MAX/2 + 1 - DBL_MAX_EXP)/4) |
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|
1326 goto insane_length_error; |
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1327 |
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1328 /* [p <exponent>] */ |
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1329 if (*s == 'p' || *s == 'P') { |
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1330 s++; |
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1331 exp_start = s; |
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1332 if (*s == '-' || *s == '+') |
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1333 s++; |
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1334 if (!('0' <= *s && *s <= '9')) |
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1335 goto parse_error; |
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1336 s++; |
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1337 while ('0' <= *s && *s <= '9') |
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1338 s++; |
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1339 exp = strtol(exp_start, NULL, 10); |
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1340 } |
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1341 else |
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|
1342 exp = 0; |
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1343 |
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|
1344 /* for 0 <= j < ndigits, HEX_DIGIT(j) gives the jth most significant digit */ |
|
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1345 #define HEX_DIGIT(j) hex_from_char(*((j) < fdigits ? \ |
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1346 coeff_end-(j) : \ |
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|
1347 coeff_end-1-(j))) |
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1348 |
|
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1349 /******************************************* |
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|
1350 * Compute rounded value of the hex string * |
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1351 *******************************************/ |
|
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1352 |
|
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1353 /* Discard leading zeros, and catch extreme overflow and underflow */ |
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1354 while (ndigits > 0 && HEX_DIGIT(ndigits-1) == 0) |
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1355 ndigits--; |
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1356 if (ndigits == 0 || exp < LONG_MIN/2) { |
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1357 x = 0.0; |
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|
1358 goto finished; |
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1359 } |
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1360 if (exp > LONG_MAX/2) |
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1361 goto overflow_error; |
|
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|
1362 |
|
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1363 /* Adjust exponent for fractional part. */ |
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1364 exp = exp - 4*((long)fdigits); |
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1365 |
|
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1366 /* top_exp = 1 more than exponent of most sig. bit of coefficient */ |
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1367 top_exp = exp + 4*((long)ndigits - 1); |
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1368 for (digit = HEX_DIGIT(ndigits-1); digit != 0; digit /= 2) |
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1369 top_exp++; |
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1370 |
|
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1371 /* catch almost all nonextreme cases of overflow and underflow here */ |
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1372 if (top_exp < DBL_MIN_EXP - DBL_MANT_DIG) { |
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1373 x = 0.0; |
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1374 goto finished; |
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1375 } |
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1376 if (top_exp > DBL_MAX_EXP) |
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1377 goto overflow_error; |
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1378 |
|
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1379 /* lsb = exponent of least significant bit of the *rounded* value. |
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1380 This is top_exp - DBL_MANT_DIG unless result is subnormal. */ |
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1381 lsb = MAX(top_exp, (long)DBL_MIN_EXP) - DBL_MANT_DIG; |
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1382 |
|
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1383 x = 0.0; |
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1384 if (exp >= lsb) { |
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1385 /* no rounding required */ |
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1386 for (i = ndigits-1; i >= 0; i--) |
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1387 x = 16.0*x + HEX_DIGIT(i); |
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1388 x = ldexp(x, (int)(exp)); |
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1389 goto finished; |
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1390 } |
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1391 /* rounding required. key_digit is the index of the hex digit |
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1392 containing the first bit to be rounded away. */ |
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1393 half_eps = 1 << (int)((lsb - exp - 1) % 4); |
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1394 key_digit = (lsb - exp - 1) / 4; |
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1395 for (i = ndigits-1; i > key_digit; i--) |
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1396 x = 16.0*x + HEX_DIGIT(i); |
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1397 digit = HEX_DIGIT(key_digit); |
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1398 x = 16.0*x + (double)(digit & (16-2*half_eps)); |
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1399 |
|
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1400 /* round-half-even: round up if bit lsb-1 is 1 and at least one of |
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1401 bits lsb, lsb-2, lsb-3, lsb-4, ... is 1. */ |
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1402 if ((digit & half_eps) != 0) { |
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1403 round_up = 0; |
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1404 if ((digit & (3*half_eps-1)) != 0 || |
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1405 (half_eps == 8 && (HEX_DIGIT(key_digit+1) & 1) != 0)) |
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1406 round_up = 1; |
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1407 else |
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1408 for (i = key_digit-1; i >= 0; i--) |
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1409 if (HEX_DIGIT(i) != 0) { |
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1410 round_up = 1; |
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1411 break; |
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1412 } |
| 62834 | 1413 if (round_up) { |
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1414 x += 2*half_eps; |
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1415 if (top_exp == DBL_MAX_EXP && |
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1416 x == ldexp((double)(2*half_eps), DBL_MANT_DIG)) |
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1417 /* overflow corner case: pre-rounded value < |
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1418 2**DBL_MAX_EXP; rounded=2**DBL_MAX_EXP. */ |
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1419 goto overflow_error; |
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1420 } |
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1421 } |
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1422 x = ldexp(x, (int)(exp+4*key_digit)); |
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1423 |
|
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1424 finished: |
|
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1425 /* optional trailing whitespace leading to the end of the string */ |
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1426 while (Py_ISSPACE(*s)) |
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1427 s++; |
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1428 if (s != s_end) |
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1429 goto parse_error; |
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1430 result_as_float = Py_BuildValue("(d)", negate ? -x : x); |
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1431 if (result_as_float == NULL) |
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1432 return NULL; |
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1433 result = PyObject_CallObject(cls, result_as_float); |
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1434 Py_DECREF(result_as_float); |
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1435 return result; |
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1436 |
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1437 overflow_error: |
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1438 PyErr_SetString(PyExc_OverflowError, |
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1439 "hexadecimal value too large to represent as a float"); |
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1440 return NULL; |
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1441 |
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1442 parse_error: |
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1443 PyErr_SetString(PyExc_ValueError, |
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1444 "invalid hexadecimal floating-point string"); |
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1445 return NULL; |
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1446 |
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1447 insane_length_error: |
|
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1448 PyErr_SetString(PyExc_ValueError, |
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1449 "hexadecimal string too long to convert"); |
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1450 return NULL; |
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1451 } |
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1452 |
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1453 PyDoc_STRVAR(float_fromhex_doc, |
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1454 "float.fromhex(string) -> float\n\ |
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1455 \n\ |
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1456 Create a floating-point number from a hexadecimal string.\n\ |
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1457 >>> float.fromhex('0x1.ffffp10')\n\ |
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1458 2047.984375\n\ |
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1459 >>> float.fromhex('-0x1p-1074')\n\ |
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1460 -4.9406564584124654e-324"); |
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1461 |
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1462 |
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1463 static PyObject * |
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1464 float_as_integer_ratio(PyObject *v, PyObject *unused) |
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1465 { |
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1466 double self; |
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1467 double float_part; |
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1468 int exponent; |
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1469 int i; |
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1470 |
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1471 PyObject *prev; |
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1472 PyObject *py_exponent = NULL; |
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1473 PyObject *numerator = NULL; |
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1474 PyObject *denominator = NULL; |
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1475 PyObject *result_pair = NULL; |
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1476 PyNumberMethods *long_methods = PyLong_Type.tp_as_number; |
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1477 |
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1478 #define INPLACE_UPDATE(obj, call) \ |
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1479 prev = obj; \ |
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1480 obj = call; \ |
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1481 Py_DECREF(prev); \ |
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1482 |
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1483 CONVERT_TO_DOUBLE(v, self); |
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1484 |
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1485 if (Py_IS_INFINITY(self)) { |
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1486 PyErr_SetString(PyExc_OverflowError, |
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1487 "Cannot pass infinity to float.as_integer_ratio."); |
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1488 return NULL; |
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1489 } |
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1490 #ifdef Py_NAN |
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1491 if (Py_IS_NAN(self)) { |
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1492 PyErr_SetString(PyExc_ValueError, |
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1493 "Cannot pass NaN to float.as_integer_ratio."); |
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1494 return NULL; |
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1495 } |
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1496 #endif |
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1497 |
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1498 PyFPE_START_PROTECT("as_integer_ratio", goto error); |
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1499 float_part = frexp(self, &exponent); /* self == float_part * 2**exponent exactly */ |
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1500 PyFPE_END_PROTECT(float_part); |
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1501 |
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1502 for (i=0; i<300 && float_part != floor(float_part) ; i++) { |
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1503 float_part *= 2.0; |
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1504 exponent--; |
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1505 } |
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1506 /* self == float_part * 2**exponent exactly and float_part is integral. |
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1507 If FLT_RADIX != 2, the 300 steps may leave a tiny fractional part |
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1508 to be truncated by PyLong_FromDouble(). */ |
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1509 |
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1510 numerator = PyLong_FromDouble(float_part); |
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1511 if (numerator == NULL) goto error; |
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1512 |
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1513 /* fold in 2**exponent */ |
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1514 denominator = PyLong_FromLong(1); |
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1515 py_exponent = PyLong_FromLong(labs((long)exponent)); |
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1516 if (py_exponent == NULL) goto error; |
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1517 INPLACE_UPDATE(py_exponent, |
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1518 long_methods->nb_lshift(denominator, py_exponent)); |
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1519 if (py_exponent == NULL) goto error; |
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1520 if (exponent > 0) { |
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1521 INPLACE_UPDATE(numerator, |
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1522 long_methods->nb_multiply(numerator, py_exponent)); |
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1523 if (numerator == NULL) goto error; |
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1524 } |
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1525 else { |
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1526 Py_DECREF(denominator); |
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1527 denominator = py_exponent; |
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1528 py_exponent = NULL; |
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1529 } |
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1530 |
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1531 result_pair = PyTuple_Pack(2, numerator, denominator); |
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1532 |
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1533 #undef INPLACE_UPDATE |
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1534 error: |
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1535 Py_XDECREF(py_exponent); |
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1536 Py_XDECREF(denominator); |
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1537 Py_XDECREF(numerator); |
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1538 return result_pair; |
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1539 } |
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1540 |
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1541 PyDoc_STRVAR(float_as_integer_ratio_doc, |
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1542 "float.as_integer_ratio() -> (int, int)\n" |
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1543 "\n" |
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1544 "Returns a pair of integers, whose ratio is exactly equal to the original\n" |
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1545 "float and with a positive denominator.\n" |
| 49493 | 1546 "Raises OverflowError on infinities and a ValueError on NaNs.\n" |
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1547 "\n" |
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1548 ">>> (10.0).as_integer_ratio()\n" |
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1549 "(10, 1)\n" |
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1550 ">>> (0.0).as_integer_ratio()\n" |
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1551 "(0, 1)\n" |
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1552 ">>> (-.25).as_integer_ratio()\n" |
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1553 "(-1, 4)"); |
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1554 |
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1555 |
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1556 static PyObject * |
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1557 float_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds); |
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|
1558 |
|
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|
1559 static PyObject * |
|
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|
1560 float_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
|
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|
1561 { |
|
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|
1562 PyObject *x = Py_False; /* Integer zero */ |
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|
1563 static char *kwlist[] = {"x", 0}; |
|
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1564 |
|
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|
1565 if (type != &PyFloat_Type) |
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1566 return float_subtype_new(type, args, kwds); /* Wimp out */ |
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1567 if (!PyArg_ParseTupleAndKeywords(args, kwds, "|O:float", kwlist, &x)) |
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1568 return NULL; |
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1569 /* If it's a string, but not a string subclass, use |
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1570 PyFloat_FromString. */ |
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1571 if (PyUnicode_CheckExact(x)) |
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1572 return PyFloat_FromString(x); |
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1573 return PyNumber_Float(x); |
|
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1574 } |
|
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1575 |
|
19552
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1576 /* Wimpy, slow approach to tp_new calls for subtypes of float: |
|
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|
1577 first create a regular float from whatever arguments we got, |
|
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1578 then allocate a subtype instance and initialize its ob_fval |
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|
1579 from the regular float. The regular float is then thrown away. |
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1580 */ |
|
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|
1581 static PyObject * |
|
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|
1582 float_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
|
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|
1583 { |
|
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|
1584 PyObject *tmp, *newobj; |
|
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1585 |
|
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|
1586 assert(PyType_IsSubtype(type, &PyFloat_Type)); |
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1587 tmp = float_new(&PyFloat_Type, args, kwds); |
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1588 if (tmp == NULL) |
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1589 return NULL; |
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|
1590 assert(PyFloat_CheckExact(tmp)); |
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|
1591 newobj = type->tp_alloc(type, 0); |
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1592 if (newobj == NULL) { |
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|
1593 Py_DECREF(tmp); |
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1594 return NULL; |
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1595 } |
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1596 ((PyFloatObject *)newobj)->ob_fval = ((PyFloatObject *)tmp)->ob_fval; |
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1597 Py_DECREF(tmp); |
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1598 return newobj; |
|
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1599 } |
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1600 |
|
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1601 static PyObject * |
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1602 float_getnewargs(PyFloatObject *v) |
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1603 { |
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1604 return Py_BuildValue("(d)", v->ob_fval); |
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1605 } |
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1606 |
| 34972 | 1607 /* this is for the benefit of the pack/unpack routines below */ |
| 1608 | |
| 1609 typedef enum { | |
|
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1610 unknown_format, ieee_big_endian_format, ieee_little_endian_format |
| 34972 | 1611 } float_format_type; |
| 1612 | |
| 1613 static float_format_type double_format, float_format; | |
| 1614 static float_format_type detected_double_format, detected_float_format; | |
| 1615 | |
| 1616 static PyObject * | |
| 1617 float_getformat(PyTypeObject *v, PyObject* arg) | |
| 1618 { | |
|
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1619 char* s; |
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1620 float_format_type r; |
| 34972 | 1621 |
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1622 if (!PyUnicode_Check(arg)) { |
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1623 PyErr_Format(PyExc_TypeError, |
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1624 "__getformat__() argument must be string, not %.500s", |
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1625 Py_TYPE(arg)->tp_name); |
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1626 return NULL; |
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1627 } |
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1628 s = _PyUnicode_AsString(arg); |
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1629 if (s == NULL) |
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1630 return NULL; |
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1631 if (strcmp(s, "double") == 0) { |
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1632 r = double_format; |
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1633 } |
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1634 else if (strcmp(s, "float") == 0) { |
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1635 r = float_format; |
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1636 } |
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1637 else { |
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1638 PyErr_SetString(PyExc_ValueError, |
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1639 "__getformat__() argument 1 must be " |
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1640 "'double' or 'float'"); |
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1641 return NULL; |
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1642 } |
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1643 |
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1644 switch (r) { |
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1645 case unknown_format: |
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1646 return PyUnicode_FromString("unknown"); |
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1647 case ieee_little_endian_format: |
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1648 return PyUnicode_FromString("IEEE, little-endian"); |
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1649 case ieee_big_endian_format: |
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1650 return PyUnicode_FromString("IEEE, big-endian"); |
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1651 default: |
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1652 Py_FatalError("insane float_format or double_format"); |
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1653 return NULL; |
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1654 } |
| 34972 | 1655 } |
| 1656 | |
| 1657 PyDoc_STRVAR(float_getformat_doc, | |
| 1658 "float.__getformat__(typestr) -> string\n" | |
| 1659 "\n" | |
| 1660 "You probably don't want to use this function. It exists mainly to be\n" | |
| 1661 "used in Python's test suite.\n" | |
| 1662 "\n" | |
| 1663 "typestr must be 'double' or 'float'. This function returns whichever of\n" | |
| 1664 "'unknown', 'IEEE, big-endian' or 'IEEE, little-endian' best describes the\n" | |
| 1665 "format of floating point numbers used by the C type named by typestr."); | |
| 1666 | |
| 1667 static PyObject * | |
| 1668 float_setformat(PyTypeObject *v, PyObject* args) | |
| 1669 { | |
|
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1670 char* typestr; |
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1671 char* format; |
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1672 float_format_type f; |
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1673 float_format_type detected; |
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1674 float_format_type *p; |
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1675 |
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1676 if (!PyArg_ParseTuple(args, "ss:__setformat__", &typestr, &format)) |
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1677 return NULL; |
| 34972 | 1678 |
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1679 if (strcmp(typestr, "double") == 0) { |
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1680 p = &double_format; |
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1681 detected = detected_double_format; |
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1682 } |
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1683 else if (strcmp(typestr, "float") == 0) { |
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1684 p = &float_format; |
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1685 detected = detected_float_format; |
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1686 } |
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1687 else { |
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1688 PyErr_SetString(PyExc_ValueError, |
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1689 "__setformat__() argument 1 must " |
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1690 "be 'double' or 'float'"); |
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1691 return NULL; |
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1692 } |
| 34972 | 1693 |
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1694 if (strcmp(format, "unknown") == 0) { |
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1695 f = unknown_format; |
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1696 } |
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1697 else if (strcmp(format, "IEEE, little-endian") == 0) { |
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1698 f = ieee_little_endian_format; |
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1699 } |
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1700 else if (strcmp(format, "IEEE, big-endian") == 0) { |
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1701 f = ieee_big_endian_format; |
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1702 } |
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1703 else { |
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1704 PyErr_SetString(PyExc_ValueError, |
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1705 "__setformat__() argument 2 must be " |
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1706 "'unknown', 'IEEE, little-endian' or " |
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1707 "'IEEE, big-endian'"); |
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1708 return NULL; |
| 34972 | 1709 |
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1710 } |
| 34972 | 1711 |
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1712 if (f != unknown_format && f != detected) { |
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1713 PyErr_Format(PyExc_ValueError, |
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1714 "can only set %s format to 'unknown' or the " |
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1715 "detected platform value", typestr); |
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1716 return NULL; |
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1717 } |
| 34972 | 1718 |
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1719 *p = f; |
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1720 Py_RETURN_NONE; |
| 34972 | 1721 } |
| 1722 | |
| 1723 PyDoc_STRVAR(float_setformat_doc, | |
| 1724 "float.__setformat__(typestr, fmt) -> None\n" | |
| 1725 "\n" | |
| 1726 "You probably don't want to use this function. It exists mainly to be\n" | |
| 1727 "used in Python's test suite.\n" | |
| 1728 "\n" | |
| 1729 "typestr must be 'double' or 'float'. fmt must be one of 'unknown',\n" | |
| 1730 "'IEEE, big-endian' or 'IEEE, little-endian', and in addition can only be\n" | |
| 1731 "one of the latter two if it appears to match the underlying C reality.\n" | |
| 1732 "\n" | |
| 1733 "Overrides the automatic determination of C-level floating point type.\n" | |
| 1734 "This affects how floats are converted to and from binary strings."); | |
| 1735 | |
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1736 static PyObject * |
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1737 float_getzero(PyObject *v, void *closure) |
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1738 { |
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1739 return PyFloat_FromDouble(0.0); |
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1740 } |
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1741 |
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1742 static PyObject * |
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1743 float__format__(PyObject *self, PyObject *args) |
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1744 { |
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1745 PyObject *format_spec; |
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1746 |
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1747 if (!PyArg_ParseTuple(args, "U:__format__", &format_spec)) |
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1748 return NULL; |
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1749 return _PyFloat_FormatAdvanced(self, |
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1750 PyUnicode_AS_UNICODE(format_spec), |
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1751 PyUnicode_GET_SIZE(format_spec)); |
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1752 } |
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1753 |
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1754 PyDoc_STRVAR(float__format__doc, |
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1755 "float.__format__(format_spec) -> string\n" |
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1756 "\n" |
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1757 "Formats the float according to format_spec."); |
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1758 |
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1759 |
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1760 static PyMethodDef float_methods[] = { |
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1761 {"conjugate", (PyCFunction)float_float, METH_NOARGS, |
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1762 "Returns self, the complex conjugate of any float."}, |
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1763 {"__trunc__", (PyCFunction)float_trunc, METH_NOARGS, |
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1764 "Returns the Integral closest to x between 0 and x."}, |
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1765 {"__round__", (PyCFunction)float_round, METH_VARARGS, |
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1766 "Returns the Integral closest to x, rounding half toward even.\n" |
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1767 "When an argument is passed, works like built-in round(x, ndigits)."}, |
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1768 {"as_integer_ratio", (PyCFunction)float_as_integer_ratio, METH_NOARGS, |
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1769 float_as_integer_ratio_doc}, |
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1770 {"fromhex", (PyCFunction)float_fromhex, |
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1771 METH_O|METH_CLASS, float_fromhex_doc}, |
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1772 {"hex", (PyCFunction)float_hex, |
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1773 METH_NOARGS, float_hex_doc}, |
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1774 {"is_integer", (PyCFunction)float_is_integer, METH_NOARGS, |
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1775 "Returns True if the float is an integer."}, |
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1776 #if 0 |
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1777 {"is_inf", (PyCFunction)float_is_inf, METH_NOARGS, |
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1778 "Returns True if the float is positive or negative infinite."}, |
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1779 {"is_finite", (PyCFunction)float_is_finite, METH_NOARGS, |
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1780 "Returns True if the float is finite, neither infinite nor NaN."}, |
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1781 {"is_nan", (PyCFunction)float_is_nan, METH_NOARGS, |
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1782 "Returns True if the float is not a number (NaN)."}, |
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1783 #endif |
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1784 {"__getnewargs__", (PyCFunction)float_getnewargs, METH_NOARGS}, |
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1785 {"__getformat__", (PyCFunction)float_getformat, |
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1786 METH_O|METH_CLASS, float_getformat_doc}, |
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1787 {"__setformat__", (PyCFunction)float_setformat, |
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1788 METH_VARARGS|METH_CLASS, float_setformat_doc}, |
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1789 {"__format__", (PyCFunction)float__format__, |
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1790 METH_VARARGS, float__format__doc}, |
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1791 {NULL, NULL} /* sentinel */ |
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1792 }; |
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1793 |
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1794 static PyGetSetDef float_getset[] = { |
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1795 {"real", |
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1796 (getter)float_float, (setter)NULL, |
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1797 "the real part of a complex number", |
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1798 NULL}, |
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1799 {"imag", |
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1800 (getter)float_getzero, (setter)NULL, |
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1801 "the imaginary part of a complex number", |
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1802 NULL}, |
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1803 {NULL} /* Sentinel */ |
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1804 }; |
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1805 |
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1806 PyDoc_STRVAR(float_doc, |
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1807 "float(x) -> floating point number\n\ |
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1808 \n\ |
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1809 Convert a string or number to a floating point number, if possible."); |
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1810 |
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1811 |
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1812 static PyNumberMethods float_as_number = { |
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1813 float_add, /*nb_add*/ |
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1814 float_sub, /*nb_subtract*/ |
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1815 float_mul, /*nb_multiply*/ |
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1816 float_rem, /*nb_remainder*/ |
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1817 float_divmod, /*nb_divmod*/ |
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1818 float_pow, /*nb_power*/ |
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1819 (unaryfunc)float_neg, /*nb_negative*/ |
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1820 (unaryfunc)float_float, /*nb_positive*/ |
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1821 (unaryfunc)float_abs, /*nb_absolute*/ |
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1822 (inquiry)float_bool, /*nb_bool*/ |
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1823 0, /*nb_invert*/ |
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1824 0, /*nb_lshift*/ |
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1825 0, /*nb_rshift*/ |
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1826 0, /*nb_and*/ |
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1827 0, /*nb_xor*/ |
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1828 0, /*nb_or*/ |
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1829 float_trunc, /*nb_int*/ |
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1830 0, /*nb_reserved*/ |
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1831 float_float, /*nb_float*/ |
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1832 0, /* nb_inplace_add */ |
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1833 0, /* nb_inplace_subtract */ |
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1834 0, /* nb_inplace_multiply */ |
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1835 0, /* nb_inplace_remainder */ |
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1836 0, /* nb_inplace_power */ |
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1837 0, /* nb_inplace_lshift */ |
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1838 0, /* nb_inplace_rshift */ |
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1839 0, /* nb_inplace_and */ |
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1840 0, /* nb_inplace_xor */ |
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1841 0, /* nb_inplace_or */ |
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1842 float_floor_div, /* nb_floor_divide */ |
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1843 float_div, /* nb_true_divide */ |
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1844 0, /* nb_inplace_floor_divide */ |
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1845 0, /* nb_inplace_true_divide */ |
| 6 | 1846 }; |
| 1847 | |
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1848 PyTypeObject PyFloat_Type = { |
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1849 PyVarObject_HEAD_INIT(&PyType_Type, 0) |
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1850 "float", |
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1851 sizeof(PyFloatObject), |
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1852 0, |
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1853 (destructor)float_dealloc, /* tp_dealloc */ |
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1854 0, /* tp_print */ |
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1855 0, /* tp_getattr */ |
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1856 0, /* tp_setattr */ |
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1857 0, /* tp_reserved */ |
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1858 (reprfunc)float_repr, /* tp_repr */ |
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1859 &float_as_number, /* tp_as_number */ |
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1860 0, /* tp_as_sequence */ |
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1861 0, /* tp_as_mapping */ |
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1862 (hashfunc)float_hash, /* tp_hash */ |
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1863 0, /* tp_call */ |
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1864 (reprfunc)float_repr, /* tp_str */ |
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1865 PyObject_GenericGetAttr, /* tp_getattro */ |
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1866 0, /* tp_setattro */ |
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1867 0, /* tp_as_buffer */ |
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1868 Py_TPFLAGS_DEFAULT | Py_TPFLAGS_BASETYPE, /* tp_flags */ |
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1869 float_doc, /* tp_doc */ |
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1870 0, /* tp_traverse */ |
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1871 0, /* tp_clear */ |
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1872 float_richcompare, /* tp_richcompare */ |
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1873 0, /* tp_weaklistoffset */ |
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1874 0, /* tp_iter */ |
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1875 0, /* tp_iternext */ |
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1876 float_methods, /* tp_methods */ |
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1877 0, /* tp_members */ |
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1878 float_getset, /* tp_getset */ |
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1879 0, /* tp_base */ |
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1880 0, /* tp_dict */ |
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1881 0, /* tp_descr_get */ |
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1883 0, /* tp_dictoffset */ |
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1884 0, /* tp_init */ |
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1885 0, /* tp_alloc */ |
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1886 float_new, /* tp_new */ |
| 6 | 1887 }; |
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1888 |
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1889 void |
| 34972 | 1890 _PyFloat_Init(void) |
| 1891 { | |
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1892 /* We attempt to determine if this machine is using IEEE |
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1893 floating point formats by peering at the bits of some |
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1894 carefully chosen values. If it looks like we are on an |
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1895 IEEE platform, the float packing/unpacking routines can |
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1896 just copy bits, if not they resort to arithmetic & shifts |
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1897 and masks. The shifts & masks approach works on all finite |
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1898 values, but what happens to infinities, NaNs and signed |
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1899 zeroes on packing is an accident, and attempting to unpack |
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1900 a NaN or an infinity will raise an exception. |
| 34972 | 1901 |
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1902 Note that if we're on some whacked-out platform which uses |
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1903 IEEE formats but isn't strictly little-endian or big- |
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1904 endian, we will fall back to the portable shifts & masks |
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1905 method. */ |
| 34972 | 1906 |
| 1907 #if SIZEOF_DOUBLE == 8 | |
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1908 { |
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1909 double x = 9006104071832581.0; |
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1910 if (memcmp(&x, "\x43\x3f\xff\x01\x02\x03\x04\x05", 8) == 0) |
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1911 detected_double_format = ieee_big_endian_format; |
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1912 else if (memcmp(&x, "\x05\x04\x03\x02\x01\xff\x3f\x43", 8) == 0) |
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1913 detected_double_format = ieee_little_endian_format; |
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1914 else |
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1915 detected_double_format = unknown_format; |
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1916 } |
| 34972 | 1917 #else |
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1918 detected_double_format = unknown_format; |
| 34972 | 1919 #endif |
| 1920 | |
| 1921 #if SIZEOF_FLOAT == 4 | |
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1922 { |
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1923 float y = 16711938.0; |
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1924 if (memcmp(&y, "\x4b\x7f\x01\x02", 4) == 0) |
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1925 detected_float_format = ieee_big_endian_format; |
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1926 else if (memcmp(&y, "\x02\x01\x7f\x4b", 4) == 0) |
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1927 detected_float_format = ieee_little_endian_format; |
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1928 else |
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1929 detected_float_format = unknown_format; |
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1930 } |
| 34972 | 1931 #else |
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1932 detected_float_format = unknown_format; |
| 34972 | 1933 #endif |
| 1934 | |
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1935 double_format = detected_double_format; |
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1936 float_format = detected_float_format; |
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1937 |
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1938 /* Init float info */ |
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1939 if (FloatInfoType.tp_name == 0) |
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1940 PyStructSequence_InitType(&FloatInfoType, &floatinfo_desc); |
| 34972 | 1941 } |
| 1942 | |
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1943 int |
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1944 PyFloat_ClearFreeList(void) |
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1945 { |
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1946 PyFloatObject *p; |
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1947 PyFloatBlock *list, *next; |
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1948 int i; |
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1949 int u; /* remaining unfreed floats per block */ |
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1950 int freelist_size = 0; |
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1951 |
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1952 list = block_list; |
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1953 block_list = NULL; |
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1954 free_list = NULL; |
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1955 while (list != NULL) { |
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1956 u = 0; |
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1957 for (i = 0, p = &list->objects[0]; |
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1958 i < N_FLOATOBJECTS; |
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1959 i++, p++) { |
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1960 if (PyFloat_CheckExact(p) && Py_REFCNT(p) != 0) |
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1961 u++; |
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1962 } |
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1963 next = list->next; |
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1964 if (u) { |
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1965 list->next = block_list; |
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1966 block_list = list; |
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1967 for (i = 0, p = &list->objects[0]; |
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1968 i < N_FLOATOBJECTS; |
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1969 i++, p++) { |
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1970 if (!PyFloat_CheckExact(p) || |
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1971 Py_REFCNT(p) == 0) { |
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1972 Py_TYPE(p) = (struct _typeobject *) |
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1973 free_list; |
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1974 free_list = p; |
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1975 } |
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1976 } |
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1977 } |
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1978 else { |
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1979 PyMem_FREE(list); |
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1980 } |
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1981 freelist_size += u; |
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1982 list = next; |
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1983 } |
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1984 return freelist_size; |
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1985 } |
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1986 |
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1987 void |
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1988 PyFloat_Fini(void) |
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1989 { |
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1990 PyFloatObject *p; |
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1991 PyFloatBlock *list; |
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1992 int i; |
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1993 int u; /* total unfreed floats per block */ |
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1994 |
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1995 u = PyFloat_ClearFreeList(); |
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1996 |
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1997 if (!Py_VerboseFlag) |
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1998 return; |
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1999 fprintf(stderr, "# cleanup floats"); |
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2000 if (!u) { |
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2001 fprintf(stderr, "\n"); |
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2002 } |
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2003 else { |
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2004 fprintf(stderr, |
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2005 ": %d unfreed float%s\n", |
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2006 u, u == 1 ? "" : "s"); |
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2007 } |
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2008 if (Py_VerboseFlag > 1) { |
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2009 list = block_list; |
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2010 while (list != NULL) { |
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2011 for (i = 0, p = &list->objects[0]; |
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2012 i < N_FLOATOBJECTS; |
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2013 i++, p++) { |
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2014 if (PyFloat_CheckExact(p) && |
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2015 Py_REFCNT(p) != 0) { |
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2016 char *buf = PyOS_double_to_string( |
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2017 PyFloat_AS_DOUBLE(p), 'r', |
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2018 0, 0, NULL); |
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2019 if (buf) { |
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2020 /* XXX(twouters) cast |
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2021 refcount to long |
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2022 until %zd is |
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2023 universally |
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2024 available |
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2025 */ |
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2026 fprintf(stderr, |
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2027 "# <float at %p, refcnt=%ld, val=%s>\n", |
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2028 p, (long)Py_REFCNT(p), buf); |
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2029 PyMem_Free(buf); |
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2030 } |
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2031 } |
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|
2032 } |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2033 list = list->next; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
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|
2034 } |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2035 } |
|
5936
80d24364b932
Added _Fini() routines to free up some memory
Guido van Rossum <guido@python.org>
parents:
5504
diff
changeset
|
2036 } |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2037 |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2038 /*---------------------------------------------------------------------------- |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2039 * _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
|
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 int |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2042 _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
|
2043 { |
|
61466
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2044 if (float_format == unknown_format) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2045 unsigned char sign; |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2046 int e; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2047 double f; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2048 unsigned int fbits; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2049 int incr = 1; |
| 34972 | 2050 |
|
61466
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2051 if (le) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2052 p += 3; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2053 incr = -1; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
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|
2054 } |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2055 |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2056 if (x < 0) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2057 sign = 1; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2058 x = -x; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2059 } |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2060 else |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2061 sign = 0; |
| 34972 | 2062 |
|
61466
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2063 f = frexp(x, &e); |
| 34972 | 2064 |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2065 /* Normalize f to be in the range [1.0, 2.0) */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2066 if (0.5 <= f && f < 1.0) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2067 f *= 2.0; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2068 e--; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2069 } |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2070 else if (f == 0.0) |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2071 e = 0; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2072 else { |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2073 PyErr_SetString(PyExc_SystemError, |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2074 "frexp() result out of range"); |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2075 return -1; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2076 } |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2077 |
|
61466
cab14be0ada1
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changeset
|
2078 if (e >= 128) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2079 goto Overflow; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2080 else if (e < -126) { |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2081 /* Gradual underflow */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2082 f = ldexp(f, 126 + e); |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2083 e = 0; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2084 } |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2085 else if (!(e == 0 && f == 0.0)) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2086 e += 127; |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2087 f -= 1.0; /* Get rid of leading 1 */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2088 } |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2089 |
|
61466
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|
2090 f *= 8388608.0; /* 2**23 */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2091 fbits = (unsigned int)(f + 0.5); /* Round */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2092 assert(fbits <= 8388608); |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2093 if (fbits >> 23) { |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2094 /* The carry propagated out of a string of 23 1 bits. */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2095 fbits = 0; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2096 ++e; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2097 if (e >= 255) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2098 goto Overflow; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2099 } |
| 34972 | 2100 |
|
61466
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2101 /* First byte */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2102 *p = (sign << 7) | (e >> 1); |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2103 p += incr; |
| 34972 | 2104 |
|
61466
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2105 /* Second byte */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
2106 *p = (char) (((e & 1) << 7) | (fbits >> 16)); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2107 p += incr; |
| 34972 | 2108 |
|
61466
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2109 /* Third byte */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2110 *p = (fbits >> 8) & 0xFF; |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2111 p += incr; |
| 34972 | 2112 |
|
61466
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2113 /* Fourth byte */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2114 *p = fbits & 0xFF; |
| 34972 | 2115 |
|
61466
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|
2116 /* Done */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2117 return 0; |
| 34972 | 2118 |
|
61466
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Recorded merge of revisions 81029 via svnmerge from
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|
2119 } |
|
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|
2120 else { |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
2121 float y = (float)x; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
2122 const char *s = (char*)&y; |
|
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|
2123 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
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|
2124 |
|
61466
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|
2125 if (Py_IS_INFINITY(y) && !Py_IS_INFINITY(x)) |
|
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changeset
|
2126 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
|
2127 |
|
61466
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|
2128 if ((float_format == ieee_little_endian_format && !le) |
|
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|
2129 || (float_format == ieee_big_endian_format && le)) { |
|
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changeset
|
2130 p += 3; |
|
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|
2131 incr = -1; |
|
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|
2132 } |
|
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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diff
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|
2133 |
|
61466
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changeset
|
2134 for (i = 0; i < 4; i++) { |
|
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changeset
|
2135 *p = *s++; |
|
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changeset
|
2136 p += incr; |
|
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|
2137 } |
|
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|
2138 return 0; |
|
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diff
changeset
|
2139 } |
|
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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diff
changeset
|
2140 Overflow: |
|
61466
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changeset
|
2141 PyErr_SetString(PyExc_OverflowError, |
|
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|
2142 "float too large to pack with f format"); |
|
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|
2143 return -1; |
|
28335
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New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2144 } |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2145 |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2146 int |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2147 _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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|
2148 { |
|
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|
2149 if (double_format == unknown_format) { |
|
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|
2150 unsigned char sign; |
|
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|
2151 int e; |
|
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|
2152 double f; |
|
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|
2153 unsigned int fhi, flo; |
|
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|
2154 int incr = 1; |
| 34972 | 2155 |
|
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|
2156 if (le) { |
|
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|
2157 p += 7; |
|
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|
2158 incr = -1; |
|
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|
2159 } |
| 34972 | 2160 |
|
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|
2161 if (x < 0) { |
|
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|
2162 sign = 1; |
|
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|
2163 x = -x; |
|
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|
2164 } |
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|
2165 else |
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|
2166 sign = 0; |
| 34972 | 2167 |
|
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|
2168 f = frexp(x, &e); |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
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|
2169 |
|
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|
2170 /* Normalize f to be in the range [1.0, 2.0) */ |
|
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|
2171 if (0.5 <= f && f < 1.0) { |
|
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|
2172 f *= 2.0; |
|
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|
2173 e--; |
|
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|
2174 } |
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|
2175 else if (f == 0.0) |
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|
2176 e = 0; |
|
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|
2177 else { |
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|
2178 PyErr_SetString(PyExc_SystemError, |
|
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|
2179 "frexp() result out of range"); |
|
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|
2180 return -1; |
|
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|
2181 } |
| 34972 | 2182 |
|
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|
2183 if (e >= 1024) |
|
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|
2184 goto Overflow; |
|
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|
2185 else if (e < -1022) { |
|
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|
2186 /* Gradual underflow */ |
|
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|
2187 f = ldexp(f, 1022 + e); |
|
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|
2188 e = 0; |
|
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|
2189 } |
|
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|
2190 else if (!(e == 0 && f == 0.0)) { |
|
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|
2191 e += 1023; |
|
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|
2192 f -= 1.0; /* Get rid of leading 1 */ |
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|
2193 } |
| 34972 | 2194 |
|
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|
2195 /* fhi receives the high 28 bits; flo the low 24 bits (== 52 bits) */ |
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|
2196 f *= 268435456.0; /* 2**28 */ |
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|
2197 fhi = (unsigned int)f; /* Truncate */ |
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|
2198 assert(fhi < 268435456); |
|
28335
70003b0cb837
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Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
2199 |
|
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|
2200 f -= (double)fhi; |
|
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|
2201 f *= 16777216.0; /* 2**24 */ |
|
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|
2202 flo = (unsigned int)(f + 0.5); /* Round */ |
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|
2203 assert(flo <= 16777216); |
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|
2204 if (flo >> 24) { |
|
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|
2205 /* The carry propagated out of a string of 24 1 bits. */ |
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|
2206 flo = 0; |
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|
2207 ++fhi; |
|
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|
2208 if (fhi >> 28) { |
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|
2209 /* And it also progagated out of the next 28 bits. */ |
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|
2210 fhi = 0; |
|
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|
2211 ++e; |
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|
2212 if (e >= 2047) |
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|
2213 goto Overflow; |
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2214 } |
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|
2215 } |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
2216 |
|
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|
2217 /* First byte */ |
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|
2218 *p = (sign << 7) | (e >> 4); |
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|
2219 p += incr; |
| 34972 | 2220 |
|
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|
2221 /* Second byte */ |
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|
2222 *p = (unsigned char) (((e & 0xF) << 4) | (fhi >> 24)); |
|
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|
2223 p += incr; |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
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parents:
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diff
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|
2224 |
|
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|
2225 /* Third byte */ |
|
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|
2226 *p = (fhi >> 16) & 0xFF; |
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|
2227 p += incr; |
| 34972 | 2228 |
|
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|
2229 /* Fourth byte */ |
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|
2230 *p = (fhi >> 8) & 0xFF; |
|
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|
2231 p += incr; |
| 34972 | 2232 |
|
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|
2233 /* Fifth byte */ |
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|
2234 *p = fhi & 0xFF; |
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|
2235 p += incr; |
| 34972 | 2236 |
|
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|
2237 /* Sixth byte */ |
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|
2238 *p = (flo >> 16) & 0xFF; |
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|
2239 p += incr; |
| 34972 | 2240 |
|
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|
2241 /* Seventh byte */ |
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2242 *p = (flo >> 8) & 0xFF; |
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|
2243 p += incr; |
| 34972 | 2244 |
|
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|
2245 /* Eighth byte */ |
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2246 *p = flo & 0xFF; |
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|
2247 p += incr; |
| 34972 | 2248 |
|
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|
2249 /* Done */ |
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|
2250 return 0; |
| 34972 | 2251 |
|
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|
2252 Overflow: |
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|
2253 PyErr_SetString(PyExc_OverflowError, |
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|
2254 "float too large to pack with d format"); |
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|
2255 return -1; |
|
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|
2256 } |
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|
2257 else { |
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|
2258 const char *s = (char*)&x; |
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|
2259 int i, incr = 1; |
|
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70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
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|
2260 |
|
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|
2261 if ((double_format == ieee_little_endian_format && !le) |
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|
2262 || (double_format == ieee_big_endian_format && le)) { |
|
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|
2263 p += 7; |
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|
2264 incr = -1; |
|
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|
2265 } |
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|
2266 |
|
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|
2267 for (i = 0; i < 8; i++) { |
|
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|
2268 *p = *s++; |
|
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|
2269 p += incr; |
|
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|
2270 } |
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|
2271 return 0; |
|
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|
2272 } |
|
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70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
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|
2273 } |
|
70003b0cb837
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|
2274 |
|
70003b0cb837
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|
2275 double |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
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|
2276 _PyFloat_Unpack4(const unsigned char *p, int le) |
|
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New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
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|
2277 { |
|
61466
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|
2278 if (float_format == unknown_format) { |
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|
2279 unsigned char sign; |
|
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|
2280 int e; |
|
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|
2281 unsigned int f; |
|
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|
2282 double x; |
|
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|
2283 int incr = 1; |
| 34972 | 2284 |
|
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|
2285 if (le) { |
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|
2286 p += 3; |
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|
2287 incr = -1; |
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2288 } |
| 34972 | 2289 |
|
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|
2290 /* First byte */ |
|
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|
2291 sign = (*p >> 7) & 1; |
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|
2292 e = (*p & 0x7F) << 1; |
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2293 p += incr; |
|
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|
2294 |
|
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|
2295 /* Second byte */ |
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2296 e |= (*p >> 7) & 1; |
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2297 f = (*p & 0x7F) << 16; |
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|
2298 p += incr; |
|
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|
2299 |
|
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2300 if (e == 255) { |
|
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|
2301 PyErr_SetString( |
|
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|
2302 PyExc_ValueError, |
|
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2303 "can't unpack IEEE 754 special value " |
|
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|
2304 "on non-IEEE platform"); |
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|
2305 return -1; |
|
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|
2306 } |
|
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|
2307 |
|
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|
2308 /* Third byte */ |
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2309 f |= *p << 8; |
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2310 p += incr; |
|
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|
2311 |
|
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2312 /* Fourth byte */ |
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2313 f |= *p; |
| 34972 | 2314 |
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2315 x = (double)f / 8388608.0; |
|
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|
2316 |
|
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|
2317 /* XXX This sadly ignores Inf/NaN issues */ |
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2318 if (e == 0) |
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2319 e = -126; |
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2320 else { |
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2321 x += 1.0; |
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2322 e -= 127; |
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2323 } |
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|
2324 x = ldexp(x, e); |
|
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|
2325 |
|
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|
2326 if (sign) |
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2327 x = -x; |
|
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|
2328 |
|
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|
2329 return x; |
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2330 } |
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2331 else { |
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|
2332 float x; |
| 35987 | 2333 |
|
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|
2334 if ((float_format == ieee_little_endian_format && !le) |
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|
2335 || (float_format == ieee_big_endian_format && le)) { |
|
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|
2336 char buf[4]; |
|
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|
2337 char *d = &buf[3]; |
|
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|
2338 int i; |
|
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|
2339 |
|
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|
2340 for (i = 0; i < 4; i++) { |
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|
2341 *d-- = *p++; |
|
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2342 } |
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|
2343 memcpy(&x, buf, 4); |
|
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2344 } |
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2345 else { |
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|
2346 memcpy(&x, p, 4); |
|
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2347 } |
| 35987 | 2348 |
|
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|
2349 return x; |
|
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2350 } |
|
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|
2351 } |
|
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|
2352 |
|
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|
2353 double |
|
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|
2354 _PyFloat_Unpack8(const unsigned char *p, int le) |
|
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|
2355 { |
|
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2356 if (double_format == unknown_format) { |
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|
2357 unsigned char sign; |
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2358 int e; |
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|
2359 unsigned int fhi, flo; |
|
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|
2360 double x; |
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|
2361 int incr = 1; |
|
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|
2362 |
|
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|
2363 if (le) { |
|
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|
2364 p += 7; |
|
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|
2365 incr = -1; |
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2366 } |
| 34972 | 2367 |
|
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|
2368 /* First byte */ |
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2369 sign = (*p >> 7) & 1; |
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2370 e = (*p & 0x7F) << 4; |
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2371 |
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2372 p += incr; |
|
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|
2373 |
|
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|
2374 /* Second byte */ |
|
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2375 e |= (*p >> 4) & 0xF; |
|
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|
2376 fhi = (*p & 0xF) << 24; |
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|
2377 p += incr; |
|
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|
2378 |
|
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|
2379 if (e == 2047) { |
|
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|
2380 PyErr_SetString( |
|
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2381 PyExc_ValueError, |
|
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2382 "can't unpack IEEE 754 special value " |
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2383 "on non-IEEE platform"); |
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2384 return -1.0; |
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2385 } |
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2386 |
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2387 /* Third byte */ |
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2388 fhi |= *p << 16; |
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2389 p += incr; |
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2390 |
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2391 /* Fourth byte */ |
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2392 fhi |= *p << 8; |
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2393 p += incr; |
| 34972 | 2394 |
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2395 /* Fifth byte */ |
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2396 fhi |= *p; |
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2397 p += incr; |
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2398 |
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2399 /* Sixth byte */ |
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2400 flo = *p << 16; |
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2401 p += incr; |
| 34972 | 2402 |
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2403 /* Seventh byte */ |
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2404 flo |= *p << 8; |
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2405 p += incr; |
| 34972 | 2406 |
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2407 /* Eighth byte */ |
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2408 flo |= *p; |
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2409 |
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2410 x = (double)fhi + (double)flo / 16777216.0; /* 2**24 */ |
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2411 x /= 268435456.0; /* 2**28 */ |
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2412 |
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2413 if (e == 0) |
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2414 e = -1022; |
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2415 else { |
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2416 x += 1.0; |
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2417 e -= 1023; |
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2418 } |
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2419 x = ldexp(x, e); |
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2420 |
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2421 if (sign) |
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2422 x = -x; |
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2423 |
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2424 return x; |
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2425 } |
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2426 else { |
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2427 double x; |
| 35987 | 2428 |
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2429 if ((double_format == ieee_little_endian_format && !le) |
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2430 || (double_format == ieee_big_endian_format && le)) { |
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2431 char buf[8]; |
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2432 char *d = &buf[7]; |
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2433 int i; |
| 35987 | 2434 |
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2435 for (i = 0; i < 8; i++) { |
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2436 *d-- = *p++; |
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2437 } |
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2438 memcpy(&x, buf, 8); |
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2439 } |
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2440 else { |
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2441 memcpy(&x, p, 8); |
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2442 } |
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2443 |
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2444 return x; |
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2445 } |
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2446 } |
