Mercurial > cpython-lru_cache-weakref
annotate Objects/floatobject.c @ 62398:ea25129b94fe 3.1
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r82071 | alexander.belopolsky | 2010-06-18 12:57:49 -0400 (Fri, 18 Jun 2010) | 1 line
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| author | Alexander Belopolsky <alexander.belopolsky@gmail.com> |
|---|---|
| date | Fri, 18 Jun 2010 16:59:25 +0000 |
| parents | f197407bdba2 |
| children | aec422111cde |
| rev | line source |
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| 145 | 1 |
| 6 | 2 /* Float object implementation */ |
| 3 | |
| 27 | 4 /* XXX There should be overflow checks here, but it's hard to check |
| 5 for any kind of float exception without losing portability. */ | |
| 6 | |
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7 #include "Python.h" |
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8 #include "structseq.h" |
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| 86 | 10 #include <ctype.h> |
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11 #include <float.h> |
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13 #undef MAX |
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14 #undef MIN |
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15 #define MAX(x, y) ((x) < (y) ? (y) : (x)) |
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16 #define MIN(x, y) ((x) < (y) ? (x) : (y)) |
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17 |
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18 #ifdef HAVE_IEEEFP_H |
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19 #include <ieeefp.h> |
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20 #endif |
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23 #ifdef _OSF_SOURCE |
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24 /* OSF1 5.1 doesn't make this available with XOPEN_SOURCE_EXTENDED defined */ |
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25 extern int finite(double); |
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26 #endif |
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27 |
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28 /* Special free list -- see comments for same code in intobject.c. */ |
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29 #define BLOCK_SIZE 1000 /* 1K less typical malloc overhead */ |
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30 #define BHEAD_SIZE 8 /* Enough for a 64-bit pointer */ |
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31 #define N_FLOATOBJECTS ((BLOCK_SIZE - BHEAD_SIZE) / sizeof(PyFloatObject)) |
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32 |
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33 struct _floatblock { |
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34 struct _floatblock *next; |
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35 PyFloatObject objects[N_FLOATOBJECTS]; |
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36 }; |
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37 |
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38 typedef struct _floatblock PyFloatBlock; |
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39 |
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40 static PyFloatBlock *block_list = NULL; |
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41 static PyFloatObject *free_list = NULL; |
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42 |
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43 static PyFloatObject * |
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44 fill_free_list(void) |
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45 { |
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46 PyFloatObject *p, *q; |
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47 /* XXX Float blocks escape the object heap. Use PyObject_MALLOC ??? */ |
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48 p = (PyFloatObject *) PyMem_MALLOC(sizeof(PyFloatBlock)); |
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49 if (p == NULL) |
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50 return (PyFloatObject *) PyErr_NoMemory(); |
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51 ((PyFloatBlock *)p)->next = block_list; |
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52 block_list = (PyFloatBlock *)p; |
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53 p = &((PyFloatBlock *)p)->objects[0]; |
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54 q = p + N_FLOATOBJECTS; |
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55 while (--q > p) |
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56 Py_TYPE(q) = (struct _typeobject *)(q-1); |
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57 Py_TYPE(q) = NULL; |
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58 return p + N_FLOATOBJECTS - 1; |
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59 } |
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60 |
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61 double |
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62 PyFloat_GetMax(void) |
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63 { |
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64 return DBL_MAX; |
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65 } |
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66 |
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67 double |
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68 PyFloat_GetMin(void) |
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69 { |
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70 return DBL_MIN; |
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71 } |
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72 |
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73 static PyTypeObject FloatInfoType; |
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74 |
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75 PyDoc_STRVAR(floatinfo__doc__, |
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76 "sys.floatinfo\n\ |
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77 \n\ |
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78 A structseq holding information about the float type. It contains low level\n\ |
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79 information about the precision and internal representation. Please study\n\ |
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80 your system's :file:`float.h` for more information."); |
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81 |
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82 static PyStructSequence_Field floatinfo_fields[] = { |
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83 {"max", "DBL_MAX -- maximum representable finite float"}, |
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84 {"max_exp", "DBL_MAX_EXP -- maximum int e such that radix**(e-1) " |
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85 "is representable"}, |
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86 {"max_10_exp", "DBL_MAX_10_EXP -- maximum int e such that 10**e " |
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87 "is representable"}, |
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88 {"min", "DBL_MIN -- Minimum positive normalizer float"}, |
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89 {"min_exp", "DBL_MIN_EXP -- minimum int e such that radix**(e-1) " |
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90 "is a normalized float"}, |
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91 {"min_10_exp", "DBL_MIN_10_EXP -- minimum int e such that 10**e is " |
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92 "a normalized"}, |
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93 {"dig", "DBL_DIG -- digits"}, |
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94 {"mant_dig", "DBL_MANT_DIG -- mantissa digits"}, |
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95 {"epsilon", "DBL_EPSILON -- Difference between 1 and the next " |
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96 "representable float"}, |
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97 {"radix", "FLT_RADIX -- radix of exponent"}, |
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98 {"rounds", "FLT_ROUNDS -- addition rounds"}, |
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99 {0} |
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100 }; |
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101 |
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102 static PyStructSequence_Desc floatinfo_desc = { |
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103 "sys.floatinfo", /* name */ |
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104 floatinfo__doc__, /* doc */ |
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105 floatinfo_fields, /* fields */ |
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106 11 |
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107 }; |
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108 |
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109 PyObject * |
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110 PyFloat_GetInfo(void) |
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111 { |
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112 PyObject* floatinfo; |
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113 int pos = 0; |
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114 |
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115 floatinfo = PyStructSequence_New(&FloatInfoType); |
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116 if (floatinfo == NULL) { |
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117 return NULL; |
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118 } |
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119 |
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120 #define SetIntFlag(flag) \ |
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121 PyStructSequence_SET_ITEM(floatinfo, pos++, PyLong_FromLong(flag)) |
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122 #define SetDblFlag(flag) \ |
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123 PyStructSequence_SET_ITEM(floatinfo, pos++, PyFloat_FromDouble(flag)) |
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124 |
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125 SetDblFlag(DBL_MAX); |
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126 SetIntFlag(DBL_MAX_EXP); |
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127 SetIntFlag(DBL_MAX_10_EXP); |
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128 SetDblFlag(DBL_MIN); |
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129 SetIntFlag(DBL_MIN_EXP); |
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130 SetIntFlag(DBL_MIN_10_EXP); |
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131 SetIntFlag(DBL_DIG); |
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132 SetIntFlag(DBL_MANT_DIG); |
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133 SetDblFlag(DBL_EPSILON); |
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134 SetIntFlag(FLT_RADIX); |
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135 SetIntFlag(FLT_ROUNDS); |
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136 #undef SetIntFlag |
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137 #undef SetDblFlag |
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138 |
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139 if (PyErr_Occurred()) { |
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140 Py_CLEAR(floatinfo); |
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141 return NULL; |
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142 } |
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143 return floatinfo; |
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144 } |
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145 |
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146 PyObject * |
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147 PyFloat_FromDouble(double fval) |
| 6 | 148 { |
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149 register PyFloatObject *op; |
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150 if (free_list == NULL) { |
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151 if ((free_list = fill_free_list()) == NULL) |
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152 return NULL; |
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153 } |
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154 /* Inline PyObject_New */ |
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155 op = free_list; |
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156 free_list = (PyFloatObject *)Py_TYPE(op); |
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157 PyObject_INIT(op, &PyFloat_Type); |
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158 op->ob_fval = fval; |
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159 return (PyObject *) op; |
| 6 | 160 } |
| 161 | |
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162 PyObject * |
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163 PyFloat_FromString(PyObject *v) |
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164 { |
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165 const char *s, *last, *end; |
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166 double x; |
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167 char buffer[256]; /* for errors */ |
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168 char *s_buffer = NULL; |
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169 Py_ssize_t len; |
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170 PyObject *result = NULL; |
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171 |
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172 if (PyUnicode_Check(v)) { |
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173 s_buffer = (char *)PyMem_MALLOC(PyUnicode_GET_SIZE(v)+1); |
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174 if (s_buffer == NULL) |
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175 return PyErr_NoMemory(); |
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176 if (PyUnicode_EncodeDecimal(PyUnicode_AS_UNICODE(v), |
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177 PyUnicode_GET_SIZE(v), |
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178 s_buffer, |
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179 NULL)) |
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180 goto error; |
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181 s = s_buffer; |
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182 len = strlen(s); |
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183 } |
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184 else if (PyObject_AsCharBuffer(v, &s, &len)) { |
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185 PyErr_SetString(PyExc_TypeError, |
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186 "float() argument must be a string or a number"); |
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187 return NULL; |
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188 } |
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189 last = s + len; |
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190 |
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191 while (Py_ISSPACE(*s)) |
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192 s++; |
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193 /* We don't care about overflow or underflow. If the platform |
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194 * supports them, infinities and signed zeroes (on underflow) are |
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195 * fine. */ |
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196 x = PyOS_string_to_double(s, (char **)&end, NULL); |
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197 if (x == -1.0 && PyErr_Occurred()) |
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198 goto error; |
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199 while (Py_ISSPACE(*end)) |
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200 end++; |
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201 if (end == last) |
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202 result = PyFloat_FromDouble(x); |
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203 else { |
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204 PyOS_snprintf(buffer, sizeof(buffer), |
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205 "invalid literal for float(): %.200s", s); |
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206 PyErr_SetString(PyExc_ValueError, buffer); |
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207 result = NULL; |
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208 } |
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209 |
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210 error: |
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211 if (s_buffer) |
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212 PyMem_FREE(s_buffer); |
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213 return result; |
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214 } |
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215 |
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216 static void |
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217 float_dealloc(PyFloatObject *op) |
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218 { |
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219 if (PyFloat_CheckExact(op)) { |
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220 Py_TYPE(op) = (struct _typeobject *)free_list; |
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221 free_list = op; |
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222 } |
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223 else |
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224 Py_TYPE(op)->tp_free((PyObject *)op); |
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225 } |
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226 |
| 6 | 227 double |
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228 PyFloat_AsDouble(PyObject *op) |
| 6 | 229 { |
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230 PyNumberMethods *nb; |
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231 PyFloatObject *fo; |
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232 double val; |
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233 |
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234 if (op && PyFloat_Check(op)) |
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235 return PyFloat_AS_DOUBLE((PyFloatObject*) op); |
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236 |
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237 if (op == NULL) { |
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238 PyErr_BadArgument(); |
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239 return -1; |
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240 } |
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241 |
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242 if ((nb = Py_TYPE(op)->tp_as_number) == NULL || nb->nb_float == NULL) { |
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243 PyErr_SetString(PyExc_TypeError, "a float is required"); |
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244 return -1; |
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245 } |
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246 |
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247 fo = (PyFloatObject*) (*nb->nb_float) (op); |
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248 if (fo == NULL) |
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249 return -1; |
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250 if (!PyFloat_Check(fo)) { |
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251 PyErr_SetString(PyExc_TypeError, |
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252 "nb_float should return float object"); |
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253 return -1; |
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254 } |
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255 |
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256 val = PyFloat_AS_DOUBLE(fo); |
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257 Py_DECREF(fo); |
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258 |
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259 return val; |
| 6 | 260 } |
| 261 | |
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262 /* Macro and helper that convert PyObject obj to a C double and store |
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263 the value in dbl. If conversion to double raises an exception, obj is |
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264 set to NULL, and the function invoking this macro returns NULL. If |
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265 obj is not of float, int or long type, Py_NotImplemented is incref'ed, |
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266 stored in obj, and returned from the function invoking this macro. |
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267 */ |
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268 #define CONVERT_TO_DOUBLE(obj, dbl) \ |
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269 if (PyFloat_Check(obj)) \ |
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270 dbl = PyFloat_AS_DOUBLE(obj); \ |
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271 else if (convert_to_double(&(obj), &(dbl)) < 0) \ |
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272 return obj; |
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273 |
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274 /* Methods */ |
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275 |
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276 static int |
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277 convert_to_double(PyObject **v, double *dbl) |
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278 { |
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279 register PyObject *obj = *v; |
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280 |
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281 if (PyLong_Check(obj)) { |
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282 *dbl = PyLong_AsDouble(obj); |
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283 if (*dbl == -1.0 && PyErr_Occurred()) { |
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284 *v = NULL; |
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285 return -1; |
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286 } |
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287 } |
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288 else { |
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289 Py_INCREF(Py_NotImplemented); |
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290 *v = Py_NotImplemented; |
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291 return -1; |
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292 } |
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293 return 0; |
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294 } |
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295 |
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296 static PyObject * |
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297 float_str_or_repr(PyFloatObject *v, int precision, char format_code) |
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298 { |
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299 PyObject *result; |
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300 char *buf = PyOS_double_to_string(PyFloat_AS_DOUBLE(v), |
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301 format_code, precision, |
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302 Py_DTSF_ADD_DOT_0, |
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303 NULL); |
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304 if (!buf) |
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305 return PyErr_NoMemory(); |
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306 result = PyUnicode_FromString(buf); |
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307 PyMem_Free(buf); |
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308 return result; |
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309 } |
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310 |
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311 static PyObject * |
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312 float_repr(PyFloatObject *v) |
| 6 | 313 { |
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314 return float_str_or_repr(v, 0, 'r'); |
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315 } |
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316 |
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317 static PyObject * |
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318 float_str(PyFloatObject *v) |
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319 { |
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320 return float_str_or_repr(v, PyFloat_STR_PRECISION, 'g'); |
| 6 | 321 } |
| 322 | |
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323 /* Comparison is pretty much a nightmare. When comparing float to float, |
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324 * we do it as straightforwardly (and long-windedly) as conceivable, so |
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325 * that, e.g., Python x == y delivers the same result as the platform |
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326 * C x == y when x and/or y is a NaN. |
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327 * When mixing float with an integer type, there's no good *uniform* approach. |
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328 * Converting the double to an integer obviously doesn't work, since we |
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329 * may lose info from fractional bits. Converting the integer to a double |
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330 * also has two failure modes: (1) a long int may trigger overflow (too |
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331 * large to fit in the dynamic range of a C double); (2) even a C long may have |
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332 * more bits than fit in a C double (e.g., on a a 64-bit box long may have |
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333 * 63 bits of precision, but a C double probably has only 53), and then |
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334 * we can falsely claim equality when low-order integer bits are lost by |
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335 * coercion to double. So this part is painful too. |
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336 */ |
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337 |
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338 static PyObject* |
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339 float_richcompare(PyObject *v, PyObject *w, int op) |
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340 { |
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341 double i, j; |
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342 int r = 0; |
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343 |
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344 assert(PyFloat_Check(v)); |
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345 i = PyFloat_AS_DOUBLE(v); |
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346 |
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347 /* Switch on the type of w. Set i and j to doubles to be compared, |
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348 * and op to the richcomp to use. |
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349 */ |
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350 if (PyFloat_Check(w)) |
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351 j = PyFloat_AS_DOUBLE(w); |
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352 |
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353 else if (!Py_IS_FINITE(i)) { |
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354 if (PyLong_Check(w)) |
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355 /* If i is an infinity, its magnitude exceeds any |
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356 * finite integer, so it doesn't matter which int we |
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357 * compare i with. If i is a NaN, similarly. |
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358 */ |
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359 j = 0.0; |
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360 else |
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361 goto Unimplemented; |
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362 } |
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363 |
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364 else if (PyLong_Check(w)) { |
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365 int vsign = i == 0.0 ? 0 : i < 0.0 ? -1 : 1; |
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366 int wsign = _PyLong_Sign(w); |
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367 size_t nbits; |
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368 int exponent; |
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369 |
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370 if (vsign != wsign) { |
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371 /* Magnitudes are irrelevant -- the signs alone |
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372 * determine the outcome. |
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373 */ |
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374 i = (double)vsign; |
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375 j = (double)wsign; |
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376 goto Compare; |
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377 } |
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378 /* The signs are the same. */ |
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379 /* Convert w to a double if it fits. In particular, 0 fits. */ |
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380 nbits = _PyLong_NumBits(w); |
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381 if (nbits == (size_t)-1 && PyErr_Occurred()) { |
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382 /* This long is so large that size_t isn't big enough |
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383 * to hold the # of bits. Replace with little doubles |
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384 * that give the same outcome -- w is so large that |
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385 * its magnitude must exceed the magnitude of any |
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386 * finite float. |
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387 */ |
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388 PyErr_Clear(); |
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389 i = (double)vsign; |
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390 assert(wsign != 0); |
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391 j = wsign * 2.0; |
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392 goto Compare; |
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393 } |
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394 if (nbits <= 48) { |
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395 j = PyLong_AsDouble(w); |
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396 /* It's impossible that <= 48 bits overflowed. */ |
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397 assert(j != -1.0 || ! PyErr_Occurred()); |
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398 goto Compare; |
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399 } |
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400 assert(wsign != 0); /* else nbits was 0 */ |
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401 assert(vsign != 0); /* if vsign were 0, then since wsign is |
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402 * not 0, we would have taken the |
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403 * vsign != wsign branch at the start */ |
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404 /* We want to work with non-negative numbers. */ |
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405 if (vsign < 0) { |
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406 /* "Multiply both sides" by -1; this also swaps the |
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407 * comparator. |
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408 */ |
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409 i = -i; |
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410 op = _Py_SwappedOp[op]; |
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411 } |
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412 assert(i > 0.0); |
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413 (void) frexp(i, &exponent); |
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414 /* exponent is the # of bits in v before the radix point; |
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415 * we know that nbits (the # of bits in w) > 48 at this point |
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416 */ |
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417 if (exponent < 0 || (size_t)exponent < nbits) { |
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418 i = 1.0; |
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419 j = 2.0; |
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420 goto Compare; |
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421 } |
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422 if ((size_t)exponent > nbits) { |
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423 i = 2.0; |
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424 j = 1.0; |
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425 goto Compare; |
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426 } |
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427 /* v and w have the same number of bits before the radix |
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428 * point. Construct two longs that have the same comparison |
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429 * outcome. |
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430 */ |
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431 { |
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432 double fracpart; |
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433 double intpart; |
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434 PyObject *result = NULL; |
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435 PyObject *one = NULL; |
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436 PyObject *vv = NULL; |
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437 PyObject *ww = w; |
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438 |
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439 if (wsign < 0) { |
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440 ww = PyNumber_Negative(w); |
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441 if (ww == NULL) |
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442 goto Error; |
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443 } |
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444 else |
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445 Py_INCREF(ww); |
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446 |
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447 fracpart = modf(i, &intpart); |
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448 vv = PyLong_FromDouble(intpart); |
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449 if (vv == NULL) |
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450 goto Error; |
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451 |
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452 if (fracpart != 0.0) { |
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453 /* Shift left, and or a 1 bit into vv |
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454 * to represent the lost fraction. |
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455 */ |
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456 PyObject *temp; |
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457 |
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458 one = PyLong_FromLong(1); |
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459 if (one == NULL) |
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460 goto Error; |
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461 |
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462 temp = PyNumber_Lshift(ww, one); |
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463 if (temp == NULL) |
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464 goto Error; |
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465 Py_DECREF(ww); |
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466 ww = temp; |
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467 |
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468 temp = PyNumber_Lshift(vv, one); |
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469 if (temp == NULL) |
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470 goto Error; |
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471 Py_DECREF(vv); |
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472 vv = temp; |
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473 |
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474 temp = PyNumber_Or(vv, one); |
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475 if (temp == NULL) |
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476 goto Error; |
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477 Py_DECREF(vv); |
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478 vv = temp; |
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479 } |
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480 |
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481 r = PyObject_RichCompareBool(vv, ww, op); |
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482 if (r < 0) |
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483 goto Error; |
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484 result = PyBool_FromLong(r); |
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485 Error: |
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486 Py_XDECREF(vv); |
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487 Py_XDECREF(ww); |
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488 Py_XDECREF(one); |
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489 return result; |
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490 } |
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491 } /* else if (PyLong_Check(w)) */ |
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492 |
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493 else /* w isn't float, int, or long */ |
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494 goto Unimplemented; |
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495 |
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496 Compare: |
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497 PyFPE_START_PROTECT("richcompare", return NULL) |
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498 switch (op) { |
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499 case Py_EQ: |
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500 r = i == j; |
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501 break; |
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502 case Py_NE: |
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503 r = i != j; |
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504 break; |
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505 case Py_LE: |
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506 r = i <= j; |
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507 break; |
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508 case Py_GE: |
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509 r = i >= j; |
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510 break; |
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511 case Py_LT: |
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512 r = i < j; |
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513 break; |
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514 case Py_GT: |
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515 r = i > j; |
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516 break; |
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517 } |
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518 PyFPE_END_PROTECT(r) |
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519 return PyBool_FromLong(r); |
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520 |
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521 Unimplemented: |
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522 Py_INCREF(Py_NotImplemented); |
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523 return Py_NotImplemented; |
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524 } |
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525 |
|
1257
1cabc2b6c970
* Changed all copyright messages to include 1993.
Guido van Rossum <guido@python.org>
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526 static long |
|
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fcc75a3748f5
ANSI-fication of the sources.
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527 float_hash(PyFloatObject *v) |
|
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528 { |
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529 return _Py_HashDouble(v->ob_fval); |
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530 } |
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531 |
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532 static PyObject * |
|
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Neil Schemenauer <nascheme@enme.ucalgary.ca>
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533 float_add(PyObject *v, PyObject *w) |
| 6 | 534 { |
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535 double a,b; |
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536 CONVERT_TO_DOUBLE(v, a); |
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537 CONVERT_TO_DOUBLE(w, b); |
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538 PyFPE_START_PROTECT("add", return 0) |
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539 a = a + b; |
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540 PyFPE_END_PROTECT(a) |
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541 return PyFloat_FromDouble(a); |
| 6 | 542 } |
| 543 | |
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544 static PyObject * |
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545 float_sub(PyObject *v, PyObject *w) |
| 6 | 546 { |
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547 double a,b; |
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548 CONVERT_TO_DOUBLE(v, a); |
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549 CONVERT_TO_DOUBLE(w, b); |
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550 PyFPE_START_PROTECT("subtract", return 0) |
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551 a = a - b; |
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552 PyFPE_END_PROTECT(a) |
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553 return PyFloat_FromDouble(a); |
| 6 | 554 } |
| 555 | |
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556 static PyObject * |
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557 float_mul(PyObject *v, PyObject *w) |
| 6 | 558 { |
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559 double a,b; |
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560 CONVERT_TO_DOUBLE(v, a); |
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561 CONVERT_TO_DOUBLE(w, b); |
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562 PyFPE_START_PROTECT("multiply", return 0) |
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563 a = a * b; |
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564 PyFPE_END_PROTECT(a) |
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565 return PyFloat_FromDouble(a); |
| 6 | 566 } |
| 567 | |
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568 static PyObject * |
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Neil Schemenauer <nascheme@enme.ucalgary.ca>
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569 float_div(PyObject *v, PyObject *w) |
| 6 | 570 { |
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571 double a,b; |
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572 CONVERT_TO_DOUBLE(v, a); |
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573 CONVERT_TO_DOUBLE(w, b); |
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574 #ifdef Py_NAN |
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575 if (b == 0.0) { |
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576 PyErr_SetString(PyExc_ZeroDivisionError, |
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577 "float division"); |
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578 return NULL; |
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579 } |
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580 #endif |
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581 PyFPE_START_PROTECT("divide", return 0) |
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582 a = a / b; |
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583 PyFPE_END_PROTECT(a) |
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584 return PyFloat_FromDouble(a); |
| 6 | 585 } |
| 586 | |
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587 static PyObject * |
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588 float_rem(PyObject *v, PyObject *w) |
| 6 | 589 { |
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590 double vx, wx; |
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591 double mod; |
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592 CONVERT_TO_DOUBLE(v, vx); |
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593 CONVERT_TO_DOUBLE(w, wx); |
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594 #ifdef Py_NAN |
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595 if (wx == 0.0) { |
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596 PyErr_SetString(PyExc_ZeroDivisionError, |
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597 "float modulo"); |
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598 return NULL; |
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599 } |
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600 #endif |
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601 PyFPE_START_PROTECT("modulo", return 0) |
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602 mod = fmod(vx, wx); |
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603 /* note: checking mod*wx < 0 is incorrect -- underflows to |
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604 0 if wx < sqrt(smallest nonzero double) */ |
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605 if (mod && ((wx < 0) != (mod < 0))) { |
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606 mod += wx; |
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607 } |
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608 PyFPE_END_PROTECT(mod) |
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609 return PyFloat_FromDouble(mod); |
| 6 | 610 } |
| 611 | |
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612 static PyObject * |
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613 float_divmod(PyObject *v, PyObject *w) |
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614 { |
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615 double vx, wx; |
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616 double div, mod, floordiv; |
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617 CONVERT_TO_DOUBLE(v, vx); |
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618 CONVERT_TO_DOUBLE(w, wx); |
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619 if (wx == 0.0) { |
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620 PyErr_SetString(PyExc_ZeroDivisionError, "float divmod()"); |
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621 return NULL; |
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622 } |
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623 PyFPE_START_PROTECT("divmod", return 0) |
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624 mod = fmod(vx, wx); |
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625 /* fmod is typically exact, so vx-mod is *mathematically* an |
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626 exact multiple of wx. But this is fp arithmetic, and fp |
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627 vx - mod is an approximation; the result is that div may |
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628 not be an exact integral value after the division, although |
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629 it will always be very close to one. |
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630 */ |
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631 div = (vx - mod) / wx; |
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632 if (mod) { |
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633 /* ensure the remainder has the same sign as the denominator */ |
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634 if ((wx < 0) != (mod < 0)) { |
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635 mod += wx; |
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636 div -= 1.0; |
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637 } |
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638 } |
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639 else { |
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640 /* the remainder is zero, and in the presence of signed zeroes |
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641 fmod returns different results across platforms; ensure |
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642 it has the same sign as the denominator; we'd like to do |
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643 "mod = wx * 0.0", but that may get optimized away */ |
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644 mod *= mod; /* hide "mod = +0" from optimizer */ |
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645 if (wx < 0.0) |
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646 mod = -mod; |
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647 } |
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648 /* snap quotient to nearest integral value */ |
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649 if (div) { |
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650 floordiv = floor(div); |
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651 if (div - floordiv > 0.5) |
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652 floordiv += 1.0; |
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653 } |
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654 else { |
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655 /* div is zero - get the same sign as the true quotient */ |
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656 div *= div; /* hide "div = +0" from optimizers */ |
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657 floordiv = div * vx / wx; /* zero w/ sign of vx/wx */ |
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658 } |
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659 PyFPE_END_PROTECT(floordiv) |
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660 return Py_BuildValue("(dd)", floordiv, mod); |
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661 } |
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662 |
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663 static PyObject * |
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664 float_floor_div(PyObject *v, PyObject *w) |
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665 { |
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666 PyObject *t, *r; |
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667 |
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668 t = float_divmod(v, w); |
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669 if (t == NULL || t == Py_NotImplemented) |
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670 return t; |
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671 assert(PyTuple_CheckExact(t)); |
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672 r = PyTuple_GET_ITEM(t, 0); |
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673 Py_INCREF(r); |
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674 Py_DECREF(t); |
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675 return r; |
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676 } |
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677 |
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678 static PyObject * |
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679 float_pow(PyObject *v, PyObject *w, PyObject *z) |
| 6 | 680 { |
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681 double iv, iw, ix; |
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682 |
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683 if ((PyObject *)z != Py_None) { |
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684 PyErr_SetString(PyExc_TypeError, "pow() 3rd argument not " |
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685 "allowed unless all arguments are integers"); |
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686 return NULL; |
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687 } |
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688 |
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689 CONVERT_TO_DOUBLE(v, iv); |
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690 CONVERT_TO_DOUBLE(w, iw); |
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691 |
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692 /* Sort out special cases here instead of relying on pow() */ |
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693 if (iw == 0) { /* v**0 is 1, even 0**0 */ |
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694 return PyFloat_FromDouble(1.0); |
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695 } |
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696 if (iv == 0.0) { /* 0**w is error if w<0, else 1 */ |
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697 if (iw < 0.0) { |
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698 PyErr_SetString(PyExc_ZeroDivisionError, |
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699 "0.0 cannot be raised to a negative power"); |
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700 return NULL; |
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701 } |
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702 return PyFloat_FromDouble(0.0); |
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703 } |
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704 if (iv == 1.0) { /* 1**w is 1, even 1**inf and 1**nan */ |
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705 return PyFloat_FromDouble(1.0); |
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706 } |
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707 if (iv < 0.0) { |
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708 /* Whether this is an error is a mess, and bumps into libm |
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709 * bugs so we have to figure it out ourselves. |
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710 */ |
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711 if (iw != floor(iw)) { |
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712 /* Negative numbers raised to fractional powers |
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713 * become complex. |
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714 */ |
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715 return PyComplex_Type.tp_as_number->nb_power(v, w, z); |
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716 } |
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717 /* iw is an exact integer, albeit perhaps a very large one. |
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718 * -1 raised to an exact integer should never be exceptional. |
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719 * Alas, some libms (chiefly glibc as of early 2003) return |
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720 * NaN and set EDOM on pow(-1, large_int) if the int doesn't |
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721 * happen to be representable in a *C* integer. That's a |
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722 * bug; we let that slide in math.pow() (which currently |
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723 * reflects all platform accidents), but not for Python's **. |
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724 */ |
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725 if (iv == -1.0 && Py_IS_FINITE(iw)) { |
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726 /* Return 1 if iw is even, -1 if iw is odd; there's |
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727 * no guarantee that any C integral type is big |
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728 * enough to hold iw, so we have to check this |
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729 * indirectly. |
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730 */ |
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731 ix = floor(iw * 0.5) * 2.0; |
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732 return PyFloat_FromDouble(ix == iw ? 1.0 : -1.0); |
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733 } |
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734 /* Else iv != -1.0, and overflow or underflow are possible. |
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735 * Unless we're to write pow() ourselves, we have to trust |
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736 * the platform to do this correctly. |
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737 */ |
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738 } |
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739 errno = 0; |
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740 PyFPE_START_PROTECT("pow", return NULL) |
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741 ix = pow(iv, iw); |
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742 PyFPE_END_PROTECT(ix) |
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743 Py_ADJUST_ERANGE1(ix); |
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744 if (errno != 0) { |
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745 /* We don't expect any errno value other than ERANGE, but |
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746 * the range of libm bugs appears unbounded. |
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747 */ |
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748 PyErr_SetFromErrno(errno == ERANGE ? PyExc_OverflowError : |
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749 PyExc_ValueError); |
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750 return NULL; |
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751 } |
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752 return PyFloat_FromDouble(ix); |
| 6 | 753 } |
| 754 | |
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755 static PyObject * |
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756 float_neg(PyFloatObject *v) |
| 6 | 757 { |
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758 return PyFloat_FromDouble(-v->ob_fval); |
| 6 | 759 } |
| 760 | |
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761 static PyObject * |
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762 float_abs(PyFloatObject *v) |
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763 { |
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764 return PyFloat_FromDouble(fabs(v->ob_fval)); |
| 6 | 765 } |
| 766 | |
| 239 | 767 static int |
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768 float_bool(PyFloatObject *v) |
| 239 | 769 { |
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770 return v->ob_fval != 0.0; |
| 239 | 771 } |
| 772 | |
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773 static PyObject * |
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774 float_is_integer(PyObject *v) |
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775 { |
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776 double x = PyFloat_AsDouble(v); |
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777 PyObject *o; |
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778 |
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779 if (x == -1.0 && PyErr_Occurred()) |
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780 return NULL; |
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781 if (!Py_IS_FINITE(x)) |
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782 Py_RETURN_FALSE; |
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783 errno = 0; |
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784 PyFPE_START_PROTECT("is_integer", return NULL) |
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785 o = (floor(x) == x) ? Py_True : Py_False; |
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786 PyFPE_END_PROTECT(x) |
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787 if (errno != 0) { |
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788 PyErr_SetFromErrno(errno == ERANGE ? PyExc_OverflowError : |
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789 PyExc_ValueError); |
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790 return NULL; |
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791 } |
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792 Py_INCREF(o); |
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793 return o; |
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794 } |
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795 |
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796 #if 0 |
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797 static PyObject * |
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798 float_is_inf(PyObject *v) |
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799 { |
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800 double x = PyFloat_AsDouble(v); |
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801 if (x == -1.0 && PyErr_Occurred()) |
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802 return NULL; |
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803 return PyBool_FromLong((long)Py_IS_INFINITY(x)); |
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804 } |
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805 |
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806 static PyObject * |
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807 float_is_nan(PyObject *v) |
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808 { |
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809 double x = PyFloat_AsDouble(v); |
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810 if (x == -1.0 && PyErr_Occurred()) |
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811 return NULL; |
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812 return PyBool_FromLong((long)Py_IS_NAN(x)); |
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813 } |
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814 |
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815 static PyObject * |
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816 float_is_finite(PyObject *v) |
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817 { |
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818 double x = PyFloat_AsDouble(v); |
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819 if (x == -1.0 && PyErr_Occurred()) |
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820 return NULL; |
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821 return PyBool_FromLong((long)Py_IS_FINITE(x)); |
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822 } |
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823 #endif |
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824 |
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825 static PyObject * |
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826 float_trunc(PyObject *v) |
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827 { |
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828 double x = PyFloat_AsDouble(v); |
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829 double wholepart; /* integral portion of x, rounded toward 0 */ |
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830 |
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831 (void)modf(x, &wholepart); |
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832 /* Try to get out cheap if this fits in a Python int. The attempt |
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833 * to cast to long must be protected, as C doesn't define what |
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834 * happens if the double is too big to fit in a long. Some rare |
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835 * systems raise an exception then (RISCOS was mentioned as one, |
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836 * and someone using a non-default option on Sun also bumped into |
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837 * that). Note that checking for >= and <= LONG_{MIN,MAX} would |
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838 * still be vulnerable: if a long has more bits of precision than |
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839 * a double, casting MIN/MAX to double may yield an approximation, |
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840 * and if that's rounded up, then, e.g., wholepart=LONG_MAX+1 would |
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841 * yield true from the C expression wholepart<=LONG_MAX, despite |
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842 * that wholepart is actually greater than LONG_MAX. |
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843 */ |
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844 if (LONG_MIN < wholepart && wholepart < LONG_MAX) { |
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845 const long aslong = (long)wholepart; |
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846 return PyLong_FromLong(aslong); |
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847 } |
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848 return PyLong_FromDouble(wholepart); |
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849 } |
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850 |
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851 /* double_round: rounds a finite double to the closest multiple of |
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852 10**-ndigits; here ndigits is within reasonable bounds (typically, -308 <= |
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853 ndigits <= 323). Returns a Python float, or sets a Python error and |
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854 returns NULL on failure (OverflowError and memory errors are possible). */ |
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855 |
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856 #ifndef PY_NO_SHORT_FLOAT_REPR |
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857 /* version of double_round that uses the correctly-rounded string<->double |
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858 conversions from Python/dtoa.c */ |
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859 |
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860 static PyObject * |
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861 double_round(double x, int ndigits) { |
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862 |
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863 double rounded; |
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864 Py_ssize_t buflen, mybuflen=100; |
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865 char *buf, *buf_end, shortbuf[100], *mybuf=shortbuf; |
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866 int decpt, sign; |
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867 PyObject *result = NULL; |
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868 |
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869 /* round to a decimal string */ |
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870 buf = _Py_dg_dtoa(x, 3, ndigits, &decpt, &sign, &buf_end); |
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871 if (buf == NULL) { |
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872 PyErr_NoMemory(); |
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873 return NULL; |
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874 } |
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875 |
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876 /* Get new buffer if shortbuf is too small. Space needed <= buf_end - |
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877 buf + 8: (1 extra for '0', 1 for sign, 5 for exp, 1 for '\0'). */ |
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878 buflen = buf_end - buf; |
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879 if (buflen + 8 > mybuflen) { |
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880 mybuflen = buflen+8; |
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881 mybuf = (char *)PyMem_Malloc(mybuflen); |
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882 if (mybuf == NULL) { |
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883 PyErr_NoMemory(); |
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884 goto exit; |
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885 } |
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886 } |
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887 /* copy buf to mybuf, adding exponent, sign and leading 0 */ |
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888 PyOS_snprintf(mybuf, mybuflen, "%s0%se%d", (sign ? "-" : ""), |
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889 buf, decpt - (int)buflen); |
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890 |
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891 /* and convert the resulting string back to a double */ |
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892 errno = 0; |
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893 rounded = _Py_dg_strtod(mybuf, NULL); |
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894 if (errno == ERANGE && fabs(rounded) >= 1.) |
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895 PyErr_SetString(PyExc_OverflowError, |
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896 "rounded value too large to represent"); |
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897 else |
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898 result = PyFloat_FromDouble(rounded); |
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899 |
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900 /* done computing value; now clean up */ |
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901 if (mybuf != shortbuf) |
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902 PyMem_Free(mybuf); |
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903 exit: |
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904 _Py_dg_freedtoa(buf); |
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905 return result; |
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906 } |
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907 |
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908 #else /* PY_NO_SHORT_FLOAT_REPR */ |
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909 |
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910 /* fallback version, to be used when correctly rounded binary<->decimal |
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911 conversions aren't available */ |
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912 |
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|
913 static PyObject * |
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|
914 double_round(double x, int ndigits) { |
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915 double pow1, pow2, y, z; |
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916 if (ndigits >= 0) { |
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917 if (ndigits > 22) { |
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918 /* pow1 and pow2 are each safe from overflow, but |
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919 pow1*pow2 ~= pow(10.0, ndigits) might overflow */ |
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920 pow1 = pow(10.0, (double)(ndigits-22)); |
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921 pow2 = 1e22; |
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922 } |
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923 else { |
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924 pow1 = pow(10.0, (double)ndigits); |
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925 pow2 = 1.0; |
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926 } |
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927 y = (x*pow1)*pow2; |
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928 /* if y overflows, then rounded value is exactly x */ |
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929 if (!Py_IS_FINITE(y)) |
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930 return PyFloat_FromDouble(x); |
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931 } |
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932 else { |
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933 pow1 = pow(10.0, (double)-ndigits); |
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934 pow2 = 1.0; /* unused; silences a gcc compiler warning */ |
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935 y = x / pow1; |
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936 } |
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937 |
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938 z = round(y); |
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939 if (fabs(y-z) == 0.5) |
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|
940 /* halfway between two integers; use round-half-even */ |
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941 z = 2.0*round(y/2.0); |
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942 |
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|
943 if (ndigits >= 0) |
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944 z = (z / pow2) / pow1; |
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945 else |
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946 z *= pow1; |
|
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947 |
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|
948 /* if computation resulted in overflow, raise OverflowError */ |
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949 if (!Py_IS_FINITE(z)) { |
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950 PyErr_SetString(PyExc_OverflowError, |
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951 "overflow occurred during round"); |
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952 return NULL; |
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953 } |
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954 |
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955 return PyFloat_FromDouble(z); |
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956 } |
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957 |
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958 #endif /* PY_NO_SHORT_FLOAT_REPR */ |
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959 |
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960 /* round a Python float v to the closest multiple of 10**-ndigits */ |
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961 |
|
5396
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962 static PyObject * |
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963 float_round(PyObject *v, PyObject *args) |
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964 { |
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965 double x, rounded; |
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966 PyObject *o_ndigits = NULL; |
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967 Py_ssize_t ndigits; |
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968 |
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969 x = PyFloat_AsDouble(v); |
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970 if (!PyArg_ParseTuple(args, "|O", &o_ndigits)) |
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971 return NULL; |
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972 if (o_ndigits == NULL) { |
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973 /* single-argument round: round to nearest integer */ |
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974 rounded = round(x); |
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975 if (fabs(x-rounded) == 0.5) |
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976 /* halfway case: round to even */ |
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977 rounded = 2.0*round(x/2.0); |
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978 return PyLong_FromDouble(rounded); |
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979 } |
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980 |
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981 /* interpret second argument as a Py_ssize_t; clips on overflow */ |
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982 ndigits = PyNumber_AsSsize_t(o_ndigits, NULL); |
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983 if (ndigits == -1 && PyErr_Occurred()) |
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984 return NULL; |
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985 |
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986 /* nans and infinities round to themselves */ |
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987 if (!Py_IS_FINITE(x)) |
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988 return PyFloat_FromDouble(x); |
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989 |
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990 /* Deal with extreme values for ndigits. For ndigits > NDIGITS_MAX, x |
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991 always rounds to itself. For ndigits < NDIGITS_MIN, x always |
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992 rounds to +-0.0. Here 0.30103 is an upper bound for log10(2). */ |
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993 #define NDIGITS_MAX ((int)((DBL_MANT_DIG-DBL_MIN_EXP) * 0.30103)) |
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994 #define NDIGITS_MIN (-(int)((DBL_MAX_EXP + 1) * 0.30103)) |
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995 if (ndigits > NDIGITS_MAX) |
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996 /* return x */ |
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997 return PyFloat_FromDouble(x); |
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998 else if (ndigits < NDIGITS_MIN) |
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999 /* return 0.0, but with sign of x */ |
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1000 return PyFloat_FromDouble(0.0*x); |
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1001 else |
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1002 /* finite x, and ndigits is not unreasonably large */ |
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1003 return double_round(x, (int)ndigits); |
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1004 #undef NDIGITS_MAX |
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1005 #undef NDIGITS_MIN |
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1006 } |
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1007 |
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1008 static PyObject * |
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1009 float_float(PyObject *v) |
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1010 { |
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1011 if (PyFloat_CheckExact(v)) |
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1012 Py_INCREF(v); |
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1013 else |
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1014 v = PyFloat_FromDouble(((PyFloatObject *)v)->ob_fval); |
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1015 return v; |
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1016 } |
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1017 |
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1018 /* turn ASCII hex characters into integer values and vice versa */ |
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1019 |
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1020 static char |
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1021 char_from_hex(int x) |
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1022 { |
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1023 assert(0 <= x && x < 16); |
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1024 return "0123456789abcdef"[x]; |
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1025 } |
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1026 |
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1027 static int |
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1028 hex_from_char(char c) { |
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1029 int x; |
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1030 switch(c) { |
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1031 case '0': |
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1032 x = 0; |
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1033 break; |
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1034 case '1': |
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1035 x = 1; |
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1036 break; |
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1037 case '2': |
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1038 x = 2; |
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1039 break; |
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1040 case '3': |
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1041 x = 3; |
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1042 break; |
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1043 case '4': |
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1044 x = 4; |
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1045 break; |
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1046 case '5': |
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1047 x = 5; |
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1048 break; |
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1049 case '6': |
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1050 x = 6; |
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1051 break; |
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1052 case '7': |
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1053 x = 7; |
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1054 break; |
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1055 case '8': |
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1056 x = 8; |
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1057 break; |
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1058 case '9': |
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1059 x = 9; |
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1060 break; |
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1061 case 'a': |
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1062 case 'A': |
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1063 x = 10; |
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1064 break; |
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1065 case 'b': |
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1066 case 'B': |
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1067 x = 11; |
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1068 break; |
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1069 case 'c': |
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1070 case 'C': |
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1071 x = 12; |
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1072 break; |
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1073 case 'd': |
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1074 case 'D': |
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1075 x = 13; |
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1076 break; |
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1077 case 'e': |
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1078 case 'E': |
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1079 x = 14; |
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1080 break; |
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1081 case 'f': |
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1082 case 'F': |
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1083 x = 15; |
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1084 break; |
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1085 default: |
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1086 x = -1; |
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1087 break; |
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1088 } |
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1089 return x; |
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1090 } |
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1091 |
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1092 /* convert a float to a hexadecimal string */ |
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1093 |
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1094 /* TOHEX_NBITS is DBL_MANT_DIG rounded up to the next integer |
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1095 of the form 4k+1. */ |
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1096 #define TOHEX_NBITS DBL_MANT_DIG + 3 - (DBL_MANT_DIG+2)%4 |
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1097 |
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1098 static PyObject * |
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1099 float_hex(PyObject *v) |
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1100 { |
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1101 double x, m; |
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1102 int e, shift, i, si, esign; |
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1103 /* Space for 1+(TOHEX_NBITS-1)/4 digits, a decimal point, and the |
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1104 trailing NUL byte. */ |
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1105 char s[(TOHEX_NBITS-1)/4+3]; |
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1106 |
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1107 CONVERT_TO_DOUBLE(v, x); |
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1108 |
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1109 if (Py_IS_NAN(x) || Py_IS_INFINITY(x)) |
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1110 return float_str((PyFloatObject *)v); |
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1111 |
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1112 if (x == 0.0) { |
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1113 if(copysign(1.0, x) == -1.0) |
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1114 return PyUnicode_FromString("-0x0.0p+0"); |
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1115 else |
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1116 return PyUnicode_FromString("0x0.0p+0"); |
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1117 } |
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1118 |
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1119 m = frexp(fabs(x), &e); |
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1120 shift = 1 - MAX(DBL_MIN_EXP - e, 0); |
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1121 m = ldexp(m, shift); |
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1122 e -= shift; |
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1123 |
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1124 si = 0; |
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1125 s[si] = char_from_hex((int)m); |
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1126 si++; |
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1127 m -= (int)m; |
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1128 s[si] = '.'; |
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1129 si++; |
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1130 for (i=0; i < (TOHEX_NBITS-1)/4; i++) { |
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1131 m *= 16.0; |
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1132 s[si] = char_from_hex((int)m); |
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1133 si++; |
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1134 m -= (int)m; |
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1135 } |
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1136 s[si] = '\0'; |
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1137 |
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1138 if (e < 0) { |
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1139 esign = (int)'-'; |
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1140 e = -e; |
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1141 } |
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1142 else |
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1143 esign = (int)'+'; |
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1144 |
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1145 if (x < 0.0) |
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1146 return PyUnicode_FromFormat("-0x%sp%c%d", s, esign, e); |
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1147 else |
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1148 return PyUnicode_FromFormat("0x%sp%c%d", s, esign, e); |
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1149 } |
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1150 |
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1151 PyDoc_STRVAR(float_hex_doc, |
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1152 "float.hex() -> string\n\ |
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1153 \n\ |
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1154 Return a hexadecimal representation of a floating-point number.\n\ |
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1155 >>> (-0.1).hex()\n\ |
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1156 '-0x1.999999999999ap-4'\n\ |
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1157 >>> 3.14159.hex()\n\ |
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1158 '0x1.921f9f01b866ep+1'"); |
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1159 |
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1160 /* Convert a hexadecimal string to a float. */ |
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1161 |
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1162 static PyObject * |
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1163 float_fromhex(PyObject *cls, PyObject *arg) |
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1164 { |
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1165 PyObject *result_as_float, *result; |
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1166 double x; |
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1167 long exp, top_exp, lsb, key_digit; |
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1168 char *s, *coeff_start, *s_store, *coeff_end, *exp_start, *s_end; |
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1169 int half_eps, digit, round_up, negate=0; |
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1170 Py_ssize_t length, ndigits, fdigits, i; |
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1171 |
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1172 /* |
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1173 * For the sake of simplicity and correctness, we impose an artificial |
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1174 * limit on ndigits, the total number of hex digits in the coefficient |
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1175 * The limit is chosen to ensure that, writing exp for the exponent, |
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1176 * |
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1177 * (1) if exp > LONG_MAX/2 then the value of the hex string is |
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1178 * guaranteed to overflow (provided it's nonzero) |
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1179 * |
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1180 * (2) if exp < LONG_MIN/2 then the value of the hex string is |
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1181 * guaranteed to underflow to 0. |
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1182 * |
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1183 * (3) if LONG_MIN/2 <= exp <= LONG_MAX/2 then there's no danger of |
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1184 * overflow in the calculation of exp and top_exp below. |
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1185 * |
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1186 * More specifically, ndigits is assumed to satisfy the following |
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1187 * inequalities: |
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1188 * |
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1189 * 4*ndigits <= DBL_MIN_EXP - DBL_MANT_DIG - LONG_MIN/2 |
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1190 * 4*ndigits <= LONG_MAX/2 + 1 - DBL_MAX_EXP |
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1191 * |
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1192 * If either of these inequalities is not satisfied, a ValueError is |
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1193 * raised. Otherwise, write x for the value of the hex string, and |
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1194 * assume x is nonzero. Then |
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1195 * |
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1196 * 2**(exp-4*ndigits) <= |x| < 2**(exp+4*ndigits). |
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1197 * |
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1198 * Now if exp > LONG_MAX/2 then: |
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1199 * |
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1200 * exp - 4*ndigits >= LONG_MAX/2 + 1 - (LONG_MAX/2 + 1 - DBL_MAX_EXP) |
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1201 * = DBL_MAX_EXP |
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1202 * |
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1203 * so |x| >= 2**DBL_MAX_EXP, which is too large to be stored in C |
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1204 * double, so overflows. If exp < LONG_MIN/2, then |
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1205 * |
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1206 * exp + 4*ndigits <= LONG_MIN/2 - 1 + ( |
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1207 * DBL_MIN_EXP - DBL_MANT_DIG - LONG_MIN/2) |
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1208 * = DBL_MIN_EXP - DBL_MANT_DIG - 1 |
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1209 * |
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1210 * and so |x| < 2**(DBL_MIN_EXP-DBL_MANT_DIG-1), hence underflows to 0 |
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1211 * when converted to a C double. |
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1212 * |
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1213 * It's easy to show that if LONG_MIN/2 <= exp <= LONG_MAX/2 then both |
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1214 * exp+4*ndigits and exp-4*ndigits are within the range of a long. |
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1215 */ |
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1216 |
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1217 s = _PyUnicode_AsStringAndSize(arg, &length); |
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1218 if (s == NULL) |
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1219 return NULL; |
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1220 s_end = s + length; |
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1221 |
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1222 /******************** |
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1223 * Parse the string * |
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1224 ********************/ |
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1225 |
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1226 /* leading whitespace */ |
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1227 while (Py_ISSPACE(*s)) |
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1228 s++; |
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1229 |
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1230 /* infinities and nans */ |
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1231 x = _Py_parse_inf_or_nan(s, &coeff_end); |
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1232 if (coeff_end != s) { |
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1233 s = coeff_end; |
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1234 goto finished; |
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1235 } |
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1236 |
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1237 /* optional sign */ |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1238 if (*s == '-') { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1239 s++; |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1240 negate = 1; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1241 } |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1242 else if (*s == '+') |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1243 s++; |
|
48497
2bb866d282ba
Merged revisions 64974 via svnmerge from
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diff
changeset
|
1244 |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1245 /* [0x] */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1246 s_store = s; |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1247 if (*s == '0') { |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
1248 s++; |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1249 if (*s == 'x' || *s == 'X') |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1250 s++; |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1251 else |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1252 s = s_store; |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1253 } |
|
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2bb866d282ba
Merged revisions 64974 via svnmerge from
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diff
changeset
|
1254 |
|
61467
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diff
changeset
|
1255 /* coefficient: <integer> [. <fraction>] */ |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1256 coeff_start = s; |
|
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changeset
|
1257 while (hex_from_char(*s) >= 0) |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
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|
1258 s++; |
|
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changeset
|
1259 s_store = s; |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
1260 if (*s == '.') { |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
1261 s++; |
|
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changeset
|
1262 while (hex_from_char(*s) >= 0) |
|
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|
1263 s++; |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
1264 coeff_end = s-1; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
1265 } |
|
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|
1266 else |
|
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|
1267 coeff_end = s; |
|
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changeset
|
1268 |
|
61467
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changeset
|
1269 /* ndigits = total # of hex digits; fdigits = # after point */ |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
1270 ndigits = coeff_end - coeff_start; |
|
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|
1271 fdigits = coeff_end - s_store; |
|
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|
1272 if (ndigits == 0) |
|
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|
1273 goto parse_error; |
|
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|
1274 if (ndigits > MIN(DBL_MIN_EXP - DBL_MANT_DIG - LONG_MIN/2, |
|
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|
1275 LONG_MAX/2 + 1 - DBL_MAX_EXP)/4) |
|
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|
1276 goto insane_length_error; |
|
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changeset
|
1277 |
|
61467
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|
1278 /* [p <exponent>] */ |
|
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|
1279 if (*s == 'p' || *s == 'P') { |
|
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|
1280 s++; |
|
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|
1281 exp_start = s; |
|
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|
1282 if (*s == '-' || *s == '+') |
|
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|
1283 s++; |
|
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|
1284 if (!('0' <= *s && *s <= '9')) |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
1285 goto parse_error; |
|
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|
1286 s++; |
|
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changeset
|
1287 while ('0' <= *s && *s <= '9') |
|
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|
1288 s++; |
|
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changeset
|
1289 exp = strtol(exp_start, NULL, 10); |
|
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|
1290 } |
|
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|
1291 else |
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|
1292 exp = 0; |
|
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|
1293 |
|
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|
1294 /* for 0 <= j < ndigits, HEX_DIGIT(j) gives the jth most significant digit */ |
|
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changeset
|
1295 #define HEX_DIGIT(j) hex_from_char(*((j) < fdigits ? \ |
|
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|
1296 coeff_end-(j) : \ |
|
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|
1297 coeff_end-1-(j))) |
|
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|
1298 |
|
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changeset
|
1299 /******************************************* |
|
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|
1300 * Compute rounded value of the hex string * |
|
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|
1301 *******************************************/ |
|
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|
1302 |
|
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|
1303 /* Discard leading zeros, and catch extreme overflow and underflow */ |
|
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|
1304 while (ndigits > 0 && HEX_DIGIT(ndigits-1) == 0) |
|
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|
1305 ndigits--; |
|
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|
1306 if (ndigits == 0 || exp < LONG_MIN/2) { |
|
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|
1307 x = 0.0; |
|
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|
1308 goto finished; |
|
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|
1309 } |
|
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|
1310 if (exp > LONG_MAX/2) |
|
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changeset
|
1311 goto overflow_error; |
|
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|
1312 |
|
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|
1313 /* Adjust exponent for fractional part. */ |
|
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|
1314 exp = exp - 4*((long)fdigits); |
|
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|
1315 |
|
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changeset
|
1316 /* top_exp = 1 more than exponent of most sig. bit of coefficient */ |
|
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changeset
|
1317 top_exp = exp + 4*((long)ndigits - 1); |
|
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|
1318 for (digit = HEX_DIGIT(ndigits-1); digit != 0; digit /= 2) |
|
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|
1319 top_exp++; |
|
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|
1320 |
|
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|
1321 /* catch almost all nonextreme cases of overflow and underflow here */ |
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1322 if (top_exp < DBL_MIN_EXP - DBL_MANT_DIG) { |
|
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|
1323 x = 0.0; |
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|
1324 goto finished; |
|
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|
1325 } |
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|
1326 if (top_exp > DBL_MAX_EXP) |
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|
1327 goto overflow_error; |
|
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|
1328 |
|
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|
1329 /* lsb = exponent of least significant bit of the *rounded* value. |
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|
1330 This is top_exp - DBL_MANT_DIG unless result is subnormal. */ |
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changeset
|
1331 lsb = MAX(top_exp, (long)DBL_MIN_EXP) - DBL_MANT_DIG; |
|
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|
1332 |
|
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|
1333 x = 0.0; |
|
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changeset
|
1334 if (exp >= lsb) { |
|
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changeset
|
1335 /* no rounding required */ |
|
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|
1336 for (i = ndigits-1; i >= 0; i--) |
|
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changeset
|
1337 x = 16.0*x + HEX_DIGIT(i); |
|
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changeset
|
1338 x = ldexp(x, (int)(exp)); |
|
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|
1339 goto finished; |
|
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|
1340 } |
|
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changeset
|
1341 /* rounding required. key_digit is the index of the hex digit |
|
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|
1342 containing the first bit to be rounded away. */ |
|
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|
1343 half_eps = 1 << (int)((lsb - exp - 1) % 4); |
|
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changeset
|
1344 key_digit = (lsb - exp - 1) / 4; |
|
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changeset
|
1345 for (i = ndigits-1; i > key_digit; i--) |
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1346 x = 16.0*x + HEX_DIGIT(i); |
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1347 digit = HEX_DIGIT(key_digit); |
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1348 x = 16.0*x + (double)(digit & (16-2*half_eps)); |
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1349 |
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1350 /* round-half-even: round up if bit lsb-1 is 1 and at least one of |
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1351 bits lsb, lsb-2, lsb-3, lsb-4, ... is 1. */ |
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1352 if ((digit & half_eps) != 0) { |
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1353 round_up = 0; |
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1354 if ((digit & (3*half_eps-1)) != 0 || |
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1355 (half_eps == 8 && (HEX_DIGIT(key_digit+1) & 1) != 0)) |
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1356 round_up = 1; |
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1357 else |
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1358 for (i = key_digit-1; i >= 0; i--) |
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1359 if (HEX_DIGIT(i) != 0) { |
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1360 round_up = 1; |
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1361 break; |
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1362 } |
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1363 if (round_up == 1) { |
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1364 x += 2*half_eps; |
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1365 if (top_exp == DBL_MAX_EXP && |
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1366 x == ldexp((double)(2*half_eps), DBL_MANT_DIG)) |
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1367 /* overflow corner case: pre-rounded value < |
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1368 2**DBL_MAX_EXP; rounded=2**DBL_MAX_EXP. */ |
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1369 goto overflow_error; |
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1370 } |
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1371 } |
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1372 x = ldexp(x, (int)(exp+4*key_digit)); |
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1373 |
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1374 finished: |
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1375 /* optional trailing whitespace leading to the end of the string */ |
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1376 while (Py_ISSPACE(*s)) |
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1377 s++; |
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1378 if (s != s_end) |
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1379 goto parse_error; |
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1380 result_as_float = Py_BuildValue("(d)", negate ? -x : x); |
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1381 if (result_as_float == NULL) |
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1382 return NULL; |
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1383 result = PyObject_CallObject(cls, result_as_float); |
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1384 Py_DECREF(result_as_float); |
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1385 return result; |
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1386 |
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1387 overflow_error: |
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1388 PyErr_SetString(PyExc_OverflowError, |
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1389 "hexadecimal value too large to represent as a float"); |
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1390 return NULL; |
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1391 |
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1392 parse_error: |
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1393 PyErr_SetString(PyExc_ValueError, |
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1394 "invalid hexadecimal floating-point string"); |
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1395 return NULL; |
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1396 |
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1397 insane_length_error: |
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1398 PyErr_SetString(PyExc_ValueError, |
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1399 "hexadecimal string too long to convert"); |
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1400 return NULL; |
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1401 } |
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1402 |
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1403 PyDoc_STRVAR(float_fromhex_doc, |
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1404 "float.fromhex(string) -> float\n\ |
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1405 \n\ |
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1406 Create a floating-point number from a hexadecimal string.\n\ |
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1407 >>> float.fromhex('0x1.ffffp10')\n\ |
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1408 2047.984375\n\ |
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1409 >>> float.fromhex('-0x1p-1074')\n\ |
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1410 -4.9406564584124654e-324"); |
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1411 |
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1412 |
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1413 static PyObject * |
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1414 float_as_integer_ratio(PyObject *v, PyObject *unused) |
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1415 { |
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1416 double self; |
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1417 double float_part; |
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1418 int exponent; |
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1419 int i; |
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1420 |
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1421 PyObject *prev; |
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1422 PyObject *py_exponent = NULL; |
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1423 PyObject *numerator = NULL; |
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1424 PyObject *denominator = NULL; |
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1425 PyObject *result_pair = NULL; |
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1426 PyNumberMethods *long_methods = PyLong_Type.tp_as_number; |
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1427 |
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1428 #define INPLACE_UPDATE(obj, call) \ |
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1429 prev = obj; \ |
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1430 obj = call; \ |
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1431 Py_DECREF(prev); \ |
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1432 |
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1433 CONVERT_TO_DOUBLE(v, self); |
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1434 |
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1435 if (Py_IS_INFINITY(self)) { |
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1436 PyErr_SetString(PyExc_OverflowError, |
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1437 "Cannot pass infinity to float.as_integer_ratio."); |
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1438 return NULL; |
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1439 } |
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1440 #ifdef Py_NAN |
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1441 if (Py_IS_NAN(self)) { |
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1442 PyErr_SetString(PyExc_ValueError, |
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1443 "Cannot pass NaN to float.as_integer_ratio."); |
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1444 return NULL; |
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1445 } |
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1446 #endif |
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1447 |
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1448 PyFPE_START_PROTECT("as_integer_ratio", goto error); |
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1449 float_part = frexp(self, &exponent); /* self == float_part * 2**exponent exactly */ |
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1450 PyFPE_END_PROTECT(float_part); |
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1451 |
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1452 for (i=0; i<300 && float_part != floor(float_part) ; i++) { |
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|
1453 float_part *= 2.0; |
|
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1454 exponent--; |
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1455 } |
|
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1456 /* self == float_part * 2**exponent exactly and float_part is integral. |
|
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1457 If FLT_RADIX != 2, the 300 steps may leave a tiny fractional part |
|
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1458 to be truncated by PyLong_FromDouble(). */ |
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1459 |
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1460 numerator = PyLong_FromDouble(float_part); |
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1461 if (numerator == NULL) goto error; |
|
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1462 |
|
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1463 /* fold in 2**exponent */ |
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1464 denominator = PyLong_FromLong(1); |
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1465 py_exponent = PyLong_FromLong(labs((long)exponent)); |
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1466 if (py_exponent == NULL) goto error; |
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1467 INPLACE_UPDATE(py_exponent, |
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1468 long_methods->nb_lshift(denominator, py_exponent)); |
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1469 if (py_exponent == NULL) goto error; |
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1470 if (exponent > 0) { |
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1471 INPLACE_UPDATE(numerator, |
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1472 long_methods->nb_multiply(numerator, py_exponent)); |
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1473 if (numerator == NULL) goto error; |
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1474 } |
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1475 else { |
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1476 Py_DECREF(denominator); |
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1477 denominator = py_exponent; |
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1478 py_exponent = NULL; |
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1479 } |
|
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1480 |
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1481 result_pair = PyTuple_Pack(2, numerator, denominator); |
|
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1482 |
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1483 #undef INPLACE_UPDATE |
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1484 error: |
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1485 Py_XDECREF(py_exponent); |
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1486 Py_XDECREF(denominator); |
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1487 Py_XDECREF(numerator); |
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1488 return result_pair; |
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1489 } |
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1490 |
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1491 PyDoc_STRVAR(float_as_integer_ratio_doc, |
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1492 "float.as_integer_ratio() -> (int, int)\n" |
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1493 "\n" |
|
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1494 "Returns a pair of integers, whose ratio is exactly equal to the original\n" |
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1495 "float and with a positive denominator.\n" |
| 49493 | 1496 "Raises OverflowError on infinities and a ValueError on NaNs.\n" |
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1497 "\n" |
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1498 ">>> (10.0).as_integer_ratio()\n" |
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1499 "(10, 1)\n" |
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1500 ">>> (0.0).as_integer_ratio()\n" |
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1501 "(0, 1)\n" |
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1502 ">>> (-.25).as_integer_ratio()\n" |
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1503 "(-1, 4)"); |
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1504 |
|
1049
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1505 |
|
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1506 static PyObject * |
|
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1507 float_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds); |
|
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|
1508 |
|
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1509 static PyObject * |
|
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1510 float_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
|
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1511 { |
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1512 PyObject *x = Py_False; /* Integer zero */ |
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1513 static char *kwlist[] = {"x", 0}; |
|
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1514 |
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1515 if (type != &PyFloat_Type) |
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1516 return float_subtype_new(type, args, kwds); /* Wimp out */ |
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1517 if (!PyArg_ParseTupleAndKeywords(args, kwds, "|O:float", kwlist, &x)) |
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1518 return NULL; |
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1519 /* If it's a string, but not a string subclass, use |
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1520 PyFloat_FromString. */ |
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1521 if (PyUnicode_CheckExact(x)) |
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1522 return PyFloat_FromString(x); |
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1523 return PyNumber_Float(x); |
|
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1524 } |
|
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1525 |
|
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6c30d20d27f2
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Guido van Rossum <guido@python.org>
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|
1526 /* Wimpy, slow approach to tp_new calls for subtypes of float: |
|
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|
1527 first create a regular float from whatever arguments we got, |
|
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|
1528 then allocate a subtype instance and initialize its ob_fval |
|
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|
1529 from the regular float. The regular float is then thrown away. |
|
6c30d20d27f2
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|
1530 */ |
|
6c30d20d27f2
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|
1531 static PyObject * |
|
6c30d20d27f2
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Guido van Rossum <guido@python.org>
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|
1532 float_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
|
6c30d20d27f2
Make int, long and float subclassable.
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1533 { |
|
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1534 PyObject *tmp, *newobj; |
|
19552
6c30d20d27f2
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1535 |
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1536 assert(PyType_IsSubtype(type, &PyFloat_Type)); |
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1537 tmp = float_new(&PyFloat_Type, args, kwds); |
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1538 if (tmp == NULL) |
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1539 return NULL; |
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1540 assert(PyFloat_CheckExact(tmp)); |
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1541 newobj = type->tp_alloc(type, 0); |
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1542 if (newobj == NULL) { |
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1543 Py_DECREF(tmp); |
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1544 return NULL; |
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1545 } |
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1546 ((PyFloatObject *)newobj)->ob_fval = ((PyFloatObject *)tmp)->ob_fval; |
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1547 Py_DECREF(tmp); |
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1548 return newobj; |
|
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1549 } |
|
6c30d20d27f2
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1550 |
|
27521
17bfd5dbc0f1
Implement appropriate __getnewargs__ for all immutable subclassable builtin
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27484
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|
1551 static PyObject * |
|
17bfd5dbc0f1
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|
1552 float_getnewargs(PyFloatObject *v) |
|
17bfd5dbc0f1
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1553 { |
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1554 return Py_BuildValue("(d)", v->ob_fval); |
|
27521
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|
1555 } |
|
17bfd5dbc0f1
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|
1556 |
| 34972 | 1557 /* this is for the benefit of the pack/unpack routines below */ |
| 1558 | |
| 1559 typedef enum { | |
|
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1560 unknown_format, ieee_big_endian_format, ieee_little_endian_format |
| 34972 | 1561 } float_format_type; |
| 1562 | |
| 1563 static float_format_type double_format, float_format; | |
| 1564 static float_format_type detected_double_format, detected_float_format; | |
| 1565 | |
| 1566 static PyObject * | |
| 1567 float_getformat(PyTypeObject *v, PyObject* arg) | |
| 1568 { | |
|
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1569 char* s; |
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1570 float_format_type r; |
| 34972 | 1571 |
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1572 if (!PyUnicode_Check(arg)) { |
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1573 PyErr_Format(PyExc_TypeError, |
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1574 "__getformat__() argument must be string, not %.500s", |
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1575 Py_TYPE(arg)->tp_name); |
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1576 return NULL; |
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1577 } |
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1578 s = _PyUnicode_AsString(arg); |
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1579 if (s == NULL) |
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1580 return NULL; |
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1581 if (strcmp(s, "double") == 0) { |
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1582 r = double_format; |
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1583 } |
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1584 else if (strcmp(s, "float") == 0) { |
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1585 r = float_format; |
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1586 } |
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1587 else { |
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1588 PyErr_SetString(PyExc_ValueError, |
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1589 "__getformat__() argument 1 must be " |
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1590 "'double' or 'float'"); |
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1591 return NULL; |
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1592 } |
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1593 |
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1594 switch (r) { |
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1595 case unknown_format: |
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1596 return PyUnicode_FromString("unknown"); |
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1597 case ieee_little_endian_format: |
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1598 return PyUnicode_FromString("IEEE, little-endian"); |
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1599 case ieee_big_endian_format: |
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1600 return PyUnicode_FromString("IEEE, big-endian"); |
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1601 default: |
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1602 Py_FatalError("insane float_format or double_format"); |
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1603 return NULL; |
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1604 } |
| 34972 | 1605 } |
| 1606 | |
| 1607 PyDoc_STRVAR(float_getformat_doc, | |
| 1608 "float.__getformat__(typestr) -> string\n" | |
| 1609 "\n" | |
| 1610 "You probably don't want to use this function. It exists mainly to be\n" | |
| 1611 "used in Python's test suite.\n" | |
| 1612 "\n" | |
| 1613 "typestr must be 'double' or 'float'. This function returns whichever of\n" | |
| 1614 "'unknown', 'IEEE, big-endian' or 'IEEE, little-endian' best describes the\n" | |
| 1615 "format of floating point numbers used by the C type named by typestr."); | |
| 1616 | |
| 1617 static PyObject * | |
| 1618 float_setformat(PyTypeObject *v, PyObject* args) | |
| 1619 { | |
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1620 char* typestr; |
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1621 char* format; |
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1622 float_format_type f; |
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1623 float_format_type detected; |
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1624 float_format_type *p; |
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1625 |
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1626 if (!PyArg_ParseTuple(args, "ss:__setformat__", &typestr, &format)) |
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1627 return NULL; |
| 34972 | 1628 |
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1629 if (strcmp(typestr, "double") == 0) { |
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1630 p = &double_format; |
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1631 detected = detected_double_format; |
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1632 } |
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1633 else if (strcmp(typestr, "float") == 0) { |
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1634 p = &float_format; |
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1635 detected = detected_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 "__setformat__() argument 1 must " |
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1640 "be 'double' or 'float'"); |
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1641 return NULL; |
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1642 } |
| 34972 | 1643 |
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1644 if (strcmp(format, "unknown") == 0) { |
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1645 f = unknown_format; |
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1646 } |
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1647 else if (strcmp(format, "IEEE, little-endian") == 0) { |
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1648 f = ieee_little_endian_format; |
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1649 } |
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1650 else if (strcmp(format, "IEEE, big-endian") == 0) { |
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1651 f = ieee_big_endian_format; |
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1652 } |
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1653 else { |
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1654 PyErr_SetString(PyExc_ValueError, |
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1655 "__setformat__() argument 2 must be " |
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1656 "'unknown', 'IEEE, little-endian' or " |
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1657 "'IEEE, big-endian'"); |
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1658 return NULL; |
| 34972 | 1659 |
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1660 } |
| 34972 | 1661 |
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1662 if (f != unknown_format && f != detected) { |
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1663 PyErr_Format(PyExc_ValueError, |
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1664 "can only set %s format to 'unknown' or the " |
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1665 "detected platform value", typestr); |
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1666 return NULL; |
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1667 } |
| 34972 | 1668 |
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1669 *p = f; |
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1670 Py_RETURN_NONE; |
| 34972 | 1671 } |
| 1672 | |
| 1673 PyDoc_STRVAR(float_setformat_doc, | |
| 1674 "float.__setformat__(typestr, fmt) -> None\n" | |
| 1675 "\n" | |
| 1676 "You probably don't want to use this function. It exists mainly to be\n" | |
| 1677 "used in Python's test suite.\n" | |
| 1678 "\n" | |
| 1679 "typestr must be 'double' or 'float'. fmt must be one of 'unknown',\n" | |
| 1680 "'IEEE, big-endian' or 'IEEE, little-endian', and in addition can only be\n" | |
| 1681 "one of the latter two if it appears to match the underlying C reality.\n" | |
| 1682 "\n" | |
| 1683 "Overrides the automatic determination of C-level floating point type.\n" | |
| 1684 "This affects how floats are converted to and from binary strings."); | |
| 1685 | |
|
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1686 static PyObject * |
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1687 float_getzero(PyObject *v, void *closure) |
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1688 { |
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1689 return PyFloat_FromDouble(0.0); |
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1690 } |
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1691 |
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1692 static PyObject * |
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1693 float__format__(PyObject *self, PyObject *args) |
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1694 { |
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1695 PyObject *format_spec; |
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1696 |
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1697 if (!PyArg_ParseTuple(args, "U:__format__", &format_spec)) |
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1698 return NULL; |
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1699 return _PyFloat_FormatAdvanced(self, |
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1700 PyUnicode_AS_UNICODE(format_spec), |
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1701 PyUnicode_GET_SIZE(format_spec)); |
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1702 } |
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1703 |
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1704 PyDoc_STRVAR(float__format__doc, |
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1705 "float.__format__(format_spec) -> string\n" |
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1706 "\n" |
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1707 "Formats the float according to format_spec."); |
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1708 |
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1710 static PyMethodDef float_methods[] = { |
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1711 {"conjugate", (PyCFunction)float_float, METH_NOARGS, |
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1712 "Returns self, the complex conjugate of any float."}, |
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1713 {"__trunc__", (PyCFunction)float_trunc, METH_NOARGS, |
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1714 "Returns the Integral closest to x between 0 and x."}, |
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1715 {"__round__", (PyCFunction)float_round, METH_VARARGS, |
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1716 "Returns the Integral closest to x, rounding half toward even.\n" |
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1717 "When an argument is passed, works like built-in round(x, ndigits)."}, |
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1718 {"as_integer_ratio", (PyCFunction)float_as_integer_ratio, METH_NOARGS, |
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1719 float_as_integer_ratio_doc}, |
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1720 {"fromhex", (PyCFunction)float_fromhex, |
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1721 METH_O|METH_CLASS, float_fromhex_doc}, |
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1722 {"hex", (PyCFunction)float_hex, |
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1723 METH_NOARGS, float_hex_doc}, |
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1724 {"is_integer", (PyCFunction)float_is_integer, METH_NOARGS, |
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1725 "Returns True if the float is an integer."}, |
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1726 #if 0 |
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1727 {"is_inf", (PyCFunction)float_is_inf, METH_NOARGS, |
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1728 "Returns True if the float is positive or negative infinite."}, |
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1729 {"is_finite", (PyCFunction)float_is_finite, METH_NOARGS, |
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1730 "Returns True if the float is finite, neither infinite nor NaN."}, |
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1731 {"is_nan", (PyCFunction)float_is_nan, METH_NOARGS, |
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1732 "Returns True if the float is not a number (NaN)."}, |
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1733 #endif |
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1734 {"__getnewargs__", (PyCFunction)float_getnewargs, METH_NOARGS}, |
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1735 {"__getformat__", (PyCFunction)float_getformat, |
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1736 METH_O|METH_CLASS, float_getformat_doc}, |
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1737 {"__setformat__", (PyCFunction)float_setformat, |
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1738 METH_VARARGS|METH_CLASS, float_setformat_doc}, |
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1739 {"__format__", (PyCFunction)float__format__, |
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1740 METH_VARARGS, float__format__doc}, |
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1741 {NULL, NULL} /* sentinel */ |
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1742 }; |
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1743 |
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1744 static PyGetSetDef float_getset[] = { |
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1745 {"real", |
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1746 (getter)float_float, (setter)NULL, |
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1747 "the real part of a complex number", |
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1748 NULL}, |
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1749 {"imag", |
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1750 (getter)float_getzero, (setter)NULL, |
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1751 "the imaginary part of a complex number", |
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1752 NULL}, |
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1753 {NULL} /* Sentinel */ |
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1754 }; |
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1755 |
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1756 PyDoc_STRVAR(float_doc, |
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1757 "float(x) -> floating point number\n\ |
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1758 \n\ |
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1759 Convert a string or number to a floating point number, if possible."); |
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1761 |
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1762 static PyNumberMethods float_as_number = { |
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1763 float_add, /*nb_add*/ |
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1764 float_sub, /*nb_subtract*/ |
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1765 float_mul, /*nb_multiply*/ |
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1766 float_rem, /*nb_remainder*/ |
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1767 float_divmod, /*nb_divmod*/ |
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1768 float_pow, /*nb_power*/ |
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1769 (unaryfunc)float_neg, /*nb_negative*/ |
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1770 (unaryfunc)float_float, /*nb_positive*/ |
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1771 (unaryfunc)float_abs, /*nb_absolute*/ |
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1772 (inquiry)float_bool, /*nb_bool*/ |
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1773 0, /*nb_invert*/ |
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1774 0, /*nb_lshift*/ |
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1775 0, /*nb_rshift*/ |
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1776 0, /*nb_and*/ |
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1777 0, /*nb_xor*/ |
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1778 0, /*nb_or*/ |
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1779 float_trunc, /*nb_int*/ |
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1780 0, /*nb_reserved*/ |
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1781 float_float, /*nb_float*/ |
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1782 0, /* nb_inplace_add */ |
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1783 0, /* nb_inplace_subtract */ |
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1784 0, /* nb_inplace_multiply */ |
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1785 0, /* nb_inplace_remainder */ |
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1786 0, /* nb_inplace_power */ |
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1787 0, /* nb_inplace_lshift */ |
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1788 0, /* nb_inplace_rshift */ |
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1789 0, /* nb_inplace_and */ |
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1790 0, /* nb_inplace_xor */ |
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1792 float_floor_div, /* nb_floor_divide */ |
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1793 float_div, /* nb_true_divide */ |
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1794 0, /* nb_inplace_floor_divide */ |
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1795 0, /* nb_inplace_true_divide */ |
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1798 PyTypeObject PyFloat_Type = { |
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1799 PyVarObject_HEAD_INIT(&PyType_Type, 0) |
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1800 "float", |
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1801 sizeof(PyFloatObject), |
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1802 0, |
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1803 (destructor)float_dealloc, /* tp_dealloc */ |
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1808 (reprfunc)float_repr, /* tp_repr */ |
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1809 &float_as_number, /* tp_as_number */ |
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1810 0, /* tp_as_sequence */ |
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1811 0, /* tp_as_mapping */ |
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1812 (hashfunc)float_hash, /* tp_hash */ |
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1813 0, /* tp_call */ |
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1814 (reprfunc)float_str, /* tp_str */ |
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1815 PyObject_GenericGetAttr, /* tp_getattro */ |
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1816 0, /* tp_setattro */ |
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1817 0, /* tp_as_buffer */ |
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1818 Py_TPFLAGS_DEFAULT | Py_TPFLAGS_BASETYPE, /* tp_flags */ |
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1819 float_doc, /* tp_doc */ |
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1820 0, /* tp_traverse */ |
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1821 0, /* tp_clear */ |
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1822 float_richcompare, /* tp_richcompare */ |
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1823 0, /* tp_weaklistoffset */ |
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1824 0, /* tp_iter */ |
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1825 0, /* tp_iternext */ |
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1826 float_methods, /* tp_methods */ |
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1827 0, /* tp_members */ |
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1828 float_getset, /* tp_getset */ |
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1829 0, /* tp_base */ |
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1830 0, /* tp_dict */ |
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1831 0, /* tp_descr_get */ |
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1832 0, /* tp_descr_set */ |
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1833 0, /* tp_dictoffset */ |
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1834 0, /* tp_init */ |
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1835 0, /* tp_alloc */ |
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1836 float_new, /* tp_new */ |
| 6 | 1837 }; |
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1838 |
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1839 void |
| 34972 | 1840 _PyFloat_Init(void) |
| 1841 { | |
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1842 /* We attempt to determine if this machine is using IEEE |
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1843 floating point formats by peering at the bits of some |
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1844 carefully chosen values. If it looks like we are on an |
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1845 IEEE platform, the float packing/unpacking routines can |
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1846 just copy bits, if not they resort to arithmetic & shifts |
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1847 and masks. The shifts & masks approach works on all finite |
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1848 values, but what happens to infinities, NaNs and signed |
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1849 zeroes on packing is an accident, and attempting to unpack |
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1850 a NaN or an infinity will raise an exception. |
| 34972 | 1851 |
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1852 Note that if we're on some whacked-out platform which uses |
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1853 IEEE formats but isn't strictly little-endian or big- |
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1854 endian, we will fall back to the portable shifts & masks |
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1855 method. */ |
| 34972 | 1856 |
| 1857 #if SIZEOF_DOUBLE == 8 | |
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1858 { |
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1859 double x = 9006104071832581.0; |
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1860 if (memcmp(&x, "\x43\x3f\xff\x01\x02\x03\x04\x05", 8) == 0) |
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1861 detected_double_format = ieee_big_endian_format; |
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1862 else if (memcmp(&x, "\x05\x04\x03\x02\x01\xff\x3f\x43", 8) == 0) |
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1863 detected_double_format = ieee_little_endian_format; |
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1864 else |
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1865 detected_double_format = unknown_format; |
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1866 } |
| 34972 | 1867 #else |
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1868 detected_double_format = unknown_format; |
| 34972 | 1869 #endif |
| 1870 | |
| 1871 #if SIZEOF_FLOAT == 4 | |
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1872 { |
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1873 float y = 16711938.0; |
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1874 if (memcmp(&y, "\x4b\x7f\x01\x02", 4) == 0) |
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1875 detected_float_format = ieee_big_endian_format; |
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1876 else if (memcmp(&y, "\x02\x01\x7f\x4b", 4) == 0) |
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1877 detected_float_format = ieee_little_endian_format; |
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1878 else |
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1879 detected_float_format = unknown_format; |
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1880 } |
| 34972 | 1881 #else |
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1882 detected_float_format = unknown_format; |
| 34972 | 1883 #endif |
| 1884 | |
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1885 double_format = detected_double_format; |
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1886 float_format = detected_float_format; |
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1887 |
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1888 /* Init float info */ |
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1889 if (FloatInfoType.tp_name == 0) |
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1890 PyStructSequence_InitType(&FloatInfoType, &floatinfo_desc); |
| 34972 | 1891 } |
| 1892 | |
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1893 int |
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1894 PyFloat_ClearFreeList(void) |
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1895 { |
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1896 PyFloatObject *p; |
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1897 PyFloatBlock *list, *next; |
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1898 int i; |
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1899 int u; /* remaining unfreed floats per block */ |
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1900 int freelist_size = 0; |
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1901 |
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1902 list = block_list; |
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1903 block_list = NULL; |
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1904 free_list = NULL; |
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1905 while (list != NULL) { |
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1906 u = 0; |
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1907 for (i = 0, p = &list->objects[0]; |
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1908 i < N_FLOATOBJECTS; |
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1909 i++, p++) { |
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1910 if (PyFloat_CheckExact(p) && Py_REFCNT(p) != 0) |
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1911 u++; |
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1912 } |
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1913 next = list->next; |
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1914 if (u) { |
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1915 list->next = block_list; |
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1916 block_list = list; |
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1917 for (i = 0, p = &list->objects[0]; |
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1918 i < N_FLOATOBJECTS; |
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1919 i++, p++) { |
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1920 if (!PyFloat_CheckExact(p) || |
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1921 Py_REFCNT(p) == 0) { |
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1922 Py_TYPE(p) = (struct _typeobject *) |
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1923 free_list; |
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1924 free_list = p; |
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1925 } |
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1926 } |
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1927 } |
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1928 else { |
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1929 PyMem_FREE(list); |
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1930 } |
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1931 freelist_size += u; |
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1932 list = next; |
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1933 } |
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1934 return freelist_size; |
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1935 } |
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1936 |
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1937 void |
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1938 PyFloat_Fini(void) |
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1939 { |
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1940 PyFloatObject *p; |
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1941 PyFloatBlock *list; |
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1942 int i; |
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1943 int u; /* total unfreed floats per block */ |
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1944 |
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1945 u = PyFloat_ClearFreeList(); |
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1946 |
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1947 if (!Py_VerboseFlag) |
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1948 return; |
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1949 fprintf(stderr, "# cleanup floats"); |
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1950 if (!u) { |
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1951 fprintf(stderr, "\n"); |
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1952 } |
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1953 else { |
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1954 fprintf(stderr, |
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1955 ": %d unfreed float%s\n", |
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1956 u, u == 1 ? "" : "s"); |
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1957 } |
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1958 if (Py_VerboseFlag > 1) { |
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1959 list = block_list; |
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1960 while (list != NULL) { |
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1961 for (i = 0, p = &list->objects[0]; |
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1962 i < N_FLOATOBJECTS; |
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1963 i++, p++) { |
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1964 if (PyFloat_CheckExact(p) && |
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1965 Py_REFCNT(p) != 0) { |
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1966 char *buf = PyOS_double_to_string( |
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1967 PyFloat_AS_DOUBLE(p), 'r', |
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1968 0, 0, NULL); |
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1969 if (buf) { |
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1970 /* XXX(twouters) cast |
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1971 refcount to long |
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1972 until %zd is |
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1973 universally |
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1974 available |
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1975 */ |
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1976 fprintf(stderr, |
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1977 "# <float at %p, refcnt=%ld, val=%s>\n", |
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1978 p, (long)Py_REFCNT(p), buf); |
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1979 PyMem_Free(buf); |
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1980 } |
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1981 } |
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1982 } |
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1983 list = list->next; |
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1984 } |
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1985 } |
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5936
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1986 } |
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1987 |
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1988 /*---------------------------------------------------------------------------- |
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1989 * _PyFloat_{Pack,Unpack}{4,8}. See floatobject.h. |
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1990 */ |
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1991 int |
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1992 _PyFloat_Pack4(double x, unsigned char *p, int le) |
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1993 { |
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1994 if (float_format == unknown_format) { |
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1995 unsigned char sign; |
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1996 int e; |
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1997 double f; |
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1998 unsigned int fbits; |
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1999 int incr = 1; |
| 34972 | 2000 |
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2001 if (le) { |
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2002 p += 3; |
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2003 incr = -1; |
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2004 } |
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2005 |
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2006 if (x < 0) { |
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2007 sign = 1; |
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2008 x = -x; |
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2009 } |
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2010 else |
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2011 sign = 0; |
| 34972 | 2012 |
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2013 f = frexp(x, &e); |
| 34972 | 2014 |
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2015 /* Normalize f to be in the range [1.0, 2.0) */ |
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2016 if (0.5 <= f && f < 1.0) { |
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2017 f *= 2.0; |
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2018 e--; |
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2019 } |
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2020 else if (f == 0.0) |
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2021 e = 0; |
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2022 else { |
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2023 PyErr_SetString(PyExc_SystemError, |
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2024 "frexp() result out of range"); |
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2025 return -1; |
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2026 } |
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2027 |
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2028 if (e >= 128) |
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2029 goto Overflow; |
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2030 else if (e < -126) { |
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2031 /* Gradual underflow */ |
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2032 f = ldexp(f, 126 + e); |
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2033 e = 0; |
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2034 } |
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2035 else if (!(e == 0 && f == 0.0)) { |
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2036 e += 127; |
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|
2037 f -= 1.0; /* Get rid of leading 1 */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
2038 } |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2039 |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2040 f *= 8388608.0; /* 2**23 */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2041 fbits = (unsigned int)(f + 0.5); /* Round */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2042 assert(fbits <= 8388608); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2043 if (fbits >> 23) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2044 /* The carry propagated out of a string of 23 1 bits. */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2045 fbits = 0; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2046 ++e; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2047 if (e >= 255) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2048 goto Overflow; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54232
diff
changeset
|
2049 } |
| 34972 | 2050 |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2051 /* First byte */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2052 *p = (sign << 7) | (e >> 1); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2053 p += incr; |
| 34972 | 2054 |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2055 /* Second byte */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
2056 *p = (char) (((e & 1) << 7) | (fbits >> 16)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2057 p += incr; |
| 34972 | 2058 |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2059 /* Third byte */ |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2060 *p = (fbits >> 8) & 0xFF; |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2061 p += incr; |
| 34972 | 2062 |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2063 /* Fourth byte */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2064 *p = fbits & 0xFF; |
| 34972 | 2065 |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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changeset
|
2066 /* Done */ |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2067 return 0; |
| 34972 | 2068 |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2069 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2070 else { |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2071 float y = (float)x; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2072 const char *s = (char*)&y; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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changeset
|
2073 int i, incr = 1; |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2074 |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2075 if (Py_IS_INFINITY(y) && !Py_IS_INFINITY(x)) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2076 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
|
2077 |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2078 if ((float_format == ieee_little_endian_format && !le) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2079 || (float_format == ieee_big_endian_format && le)) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2080 p += 3; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2081 incr = -1; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2082 } |
|
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
|
2083 |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2084 for (i = 0; i < 4; i++) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
2085 *p = *s++; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
2086 p += incr; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2087 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2088 return 0; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54232
diff
changeset
|
2089 } |
|
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
|
2090 Overflow: |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2091 PyErr_SetString(PyExc_OverflowError, |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2092 "float too large to pack with f format"); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2093 return -1; |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2094 } |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2095 |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2096 int |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2097 _PyFloat_Pack8(double x, unsigned char *p, int le) |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2098 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
2099 if (double_format == unknown_format) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
2100 unsigned char sign; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2101 int e; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2102 double f; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2103 unsigned int fhi, flo; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2104 int incr = 1; |
| 34972 | 2105 |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2106 if (le) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2107 p += 7; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54232
diff
changeset
|
2108 incr = -1; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2109 } |
| 34972 | 2110 |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2111 if (x < 0) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54232
diff
changeset
|
2112 sign = 1; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2113 x = -x; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54232
diff
changeset
|
2114 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2115 else |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2116 sign = 0; |
| 34972 | 2117 |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2118 f = frexp(x, &e); |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2119 |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2120 /* Normalize f to be in the range [1.0, 2.0) */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2121 if (0.5 <= f && f < 1.0) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2122 f *= 2.0; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2123 e--; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2124 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2125 else if (f == 0.0) |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2126 e = 0; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2127 else { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2128 PyErr_SetString(PyExc_SystemError, |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2129 "frexp() result out of range"); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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changeset
|
2130 return -1; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2131 } |
| 34972 | 2132 |
|
61467
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diff
changeset
|
2133 if (e >= 1024) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2134 goto Overflow; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
54232
diff
changeset
|
2135 else if (e < -1022) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2136 /* Gradual underflow */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2137 f = ldexp(f, 1022 + e); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2138 e = 0; |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
2139 } |
|
f197407bdba2
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Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2140 else if (!(e == 0 && f == 0.0)) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
2141 e += 1023; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
2142 f -= 1.0; /* Get rid of leading 1 */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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changeset
|
2143 } |
| 34972 | 2144 |
|
61467
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diff
changeset
|
2145 /* fhi receives the high 28 bits; flo the low 24 bits (== 52 bits) */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2146 f *= 268435456.0; /* 2**28 */ |
|
f197407bdba2
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changeset
|
2147 fhi = (unsigned int)f; /* Truncate */ |
|
f197407bdba2
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diff
changeset
|
2148 assert(fhi < 268435456); |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
27521
diff
changeset
|
2149 |
|
61467
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changeset
|
2150 f -= (double)fhi; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
2151 f *= 16777216.0; /* 2**24 */ |
|
f197407bdba2
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|
2152 flo = (unsigned int)(f + 0.5); /* Round */ |
|
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|
2153 assert(flo <= 16777216); |
|
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|
2154 if (flo >> 24) { |
|
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|
2155 /* The carry propagated out of a string of 24 1 bits. */ |
|
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|
2156 flo = 0; |
|
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|
2157 ++fhi; |
|
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|
2158 if (fhi >> 28) { |
|
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|
2159 /* And it also progagated out of the next 28 bits. */ |
|
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|
2160 fhi = 0; |
|
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|
2161 ++e; |
|
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|
2162 if (e >= 2047) |
|
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|
2163 goto Overflow; |
|
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|
2164 } |
|
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|
2165 } |
|
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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|
2166 |
|
61467
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|
2167 /* First byte */ |
|
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|
2168 *p = (sign << 7) | (e >> 4); |
|
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|
2169 p += incr; |
| 34972 | 2170 |
|
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|
2171 /* Second byte */ |
|
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|
2172 *p = (unsigned char) (((e & 0xF) << 4) | (fhi >> 24)); |
|
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|
2173 p += incr; |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
2174 |
|
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|
2175 /* Third byte */ |
|
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|
2176 *p = (fhi >> 16) & 0xFF; |
|
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|
2177 p += incr; |
| 34972 | 2178 |
|
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|
2179 /* Fourth byte */ |
|
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|
2180 *p = (fhi >> 8) & 0xFF; |
|
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|
2181 p += incr; |
| 34972 | 2182 |
|
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|
2183 /* Fifth byte */ |
|
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|
2184 *p = fhi & 0xFF; |
|
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|
2185 p += incr; |
| 34972 | 2186 |
|
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|
2187 /* Sixth byte */ |
|
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|
2188 *p = (flo >> 16) & 0xFF; |
|
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|
2189 p += incr; |
| 34972 | 2190 |
|
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|
2191 /* Seventh byte */ |
|
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|
2192 *p = (flo >> 8) & 0xFF; |
|
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|
2193 p += incr; |
| 34972 | 2194 |
|
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|
2195 /* Eighth byte */ |
|
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|
2196 *p = flo & 0xFF; |
|
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|
2197 p += incr; |
| 34972 | 2198 |
|
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|
2199 /* Done */ |
|
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|
2200 return 0; |
| 34972 | 2201 |
|
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|
2202 Overflow: |
|
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|
2203 PyErr_SetString(PyExc_OverflowError, |
|
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|
2204 "float too large to pack with d format"); |
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|
2205 return -1; |
|
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2206 } |
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|
2207 else { |
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|
2208 const char *s = (char*)&x; |
|
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|
2209 int i, incr = 1; |
|
28335
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
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|
2210 |
|
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2211 if ((double_format == ieee_little_endian_format && !le) |
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2212 || (double_format == ieee_big_endian_format && le)) { |
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2213 p += 7; |
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|
2214 incr = -1; |
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|
2215 } |
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|
2216 |
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|
2217 for (i = 0; i < 8; i++) { |
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|
2218 *p = *s++; |
|
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|
2219 p += incr; |
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|
2220 } |
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|
2221 return 0; |
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|
2222 } |
|
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New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
2223 } |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
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|
2224 |
|
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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|
2225 double |
|
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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|
2226 _PyFloat_Unpack4(const unsigned char *p, int le) |
|
70003b0cb837
New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
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|
2227 { |
|
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2228 if (float_format == unknown_format) { |
|
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|
2229 unsigned char sign; |
|
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|
2230 int e; |
|
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|
2231 unsigned int f; |
|
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|
2232 double x; |
|
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|
2233 int incr = 1; |
| 34972 | 2234 |
|
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|
2235 if (le) { |
|
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|
2236 p += 3; |
|
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|
2237 incr = -1; |
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|
2238 } |
| 34972 | 2239 |
|
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|
2240 /* First byte */ |
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|
2241 sign = (*p >> 7) & 1; |
|
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|
2242 e = (*p & 0x7F) << 1; |
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|
2243 p += incr; |
|
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Tim Peters <tim.peters@gmail.com>
parents:
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|
2244 |
|
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|
2245 /* Second byte */ |
|
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|
2246 e |= (*p >> 7) & 1; |
|
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|
2247 f = (*p & 0x7F) << 16; |
|
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|
2248 p += incr; |
|
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|
2249 |
|
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|
2250 if (e == 255) { |
|
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|
2251 PyErr_SetString( |
|
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|
2252 PyExc_ValueError, |
|
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|
2253 "can't unpack IEEE 754 special value " |
|
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|
2254 "on non-IEEE platform"); |
|
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|
2255 return -1; |
|
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|
2256 } |
|
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|
2257 |
|
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|
2258 /* Third byte */ |
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|
2259 f |= *p << 8; |
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|
2260 p += incr; |
|
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New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
parents:
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|
2261 |
|
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|
2262 /* Fourth byte */ |
|
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|
2263 f |= *p; |
| 34972 | 2264 |
|
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|
2265 x = (double)f / 8388608.0; |
|
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New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
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|
2266 |
|
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|
2267 /* XXX This sadly ignores Inf/NaN issues */ |
|
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|
2268 if (e == 0) |
|
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|
2269 e = -126; |
|
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|
2270 else { |
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|
2271 x += 1.0; |
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2272 e -= 127; |
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2273 } |
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|
2274 x = ldexp(x, e); |
|
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2275 |
|
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|
2276 if (sign) |
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2277 x = -x; |
|
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2278 |
|
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|
2279 return x; |
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2280 } |
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2281 else { |
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2282 float x; |
| 35987 | 2283 |
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2284 if ((float_format == ieee_little_endian_format && !le) |
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2285 || (float_format == ieee_big_endian_format && le)) { |
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|
2286 char buf[4]; |
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2287 char *d = &buf[3]; |
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2288 int i; |
|
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2289 |
|
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2290 for (i = 0; i < 4; i++) { |
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2291 *d-- = *p++; |
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2292 } |
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2293 memcpy(&x, buf, 4); |
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2294 } |
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2295 else { |
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2296 memcpy(&x, p, 4); |
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2297 } |
| 35987 | 2298 |
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2299 return x; |
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2300 } |
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2301 } |
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2302 |
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2303 double |
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2304 _PyFloat_Unpack8(const unsigned char *p, int le) |
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2305 { |
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2306 if (double_format == unknown_format) { |
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2307 unsigned char sign; |
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2308 int e; |
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2309 unsigned int fhi, flo; |
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2310 double x; |
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2311 int incr = 1; |
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2312 |
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2313 if (le) { |
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2314 p += 7; |
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2315 incr = -1; |
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2316 } |
| 34972 | 2317 |
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2318 /* First byte */ |
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2319 sign = (*p >> 7) & 1; |
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2320 e = (*p & 0x7F) << 4; |
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2321 |
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2322 p += incr; |
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2323 |
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2324 /* Second byte */ |
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2325 e |= (*p >> 4) & 0xF; |
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2326 fhi = (*p & 0xF) << 24; |
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2327 p += incr; |
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2328 |
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2329 if (e == 2047) { |
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|
2330 PyErr_SetString( |
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2331 PyExc_ValueError, |
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2332 "can't unpack IEEE 754 special value " |
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2333 "on non-IEEE platform"); |
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2334 return -1.0; |
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2335 } |
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|
2336 |
|
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2337 /* Third byte */ |
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|
2338 fhi |= *p << 16; |
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2339 p += incr; |
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|
2340 |
|
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2341 /* Fourth byte */ |
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|
2342 fhi |= *p << 8; |
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2343 p += incr; |
| 34972 | 2344 |
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2345 /* Fifth byte */ |
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|
2346 fhi |= *p; |
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2347 p += incr; |
|
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|
2348 |
|
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2349 /* Sixth byte */ |
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2350 flo = *p << 16; |
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2351 p += incr; |
| 34972 | 2352 |
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2353 /* Seventh byte */ |
|
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|
2354 flo |= *p << 8; |
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2355 p += incr; |
| 34972 | 2356 |
|
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2357 /* Eighth byte */ |
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|
2358 flo |= *p; |
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|
2359 |
|
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|
2360 x = (double)fhi + (double)flo / 16777216.0; /* 2**24 */ |
|
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2361 x /= 268435456.0; /* 2**28 */ |
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|
2362 |
|
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|
2363 if (e == 0) |
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2364 e = -1022; |
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2365 else { |
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|
2366 x += 1.0; |
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2367 e -= 1023; |
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2368 } |
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|
2369 x = ldexp(x, e); |
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2370 |
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2371 if (sign) |
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2372 x = -x; |
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2373 |
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2374 return x; |
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2375 } |
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2376 else { |
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2377 double x; |
| 35987 | 2378 |
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2379 if ((double_format == ieee_little_endian_format && !le) |
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2380 || (double_format == ieee_big_endian_format && le)) { |
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2381 char buf[8]; |
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2382 char *d = &buf[7]; |
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2383 int i; |
| 35987 | 2384 |
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2385 for (i = 0; i < 8; i++) { |
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2386 *d-- = *p++; |
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2387 } |
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2388 memcpy(&x, buf, 8); |
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2389 } |
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2390 else { |
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2391 memcpy(&x, p, 8); |
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2392 } |
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2393 |
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2394 return x; |
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2395 } |
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New private API functions _PyFloat_{Pack,Unpack}(4,8}. This is a
Tim Peters <tim.peters@gmail.com>
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2396 } |
