Mercurial > cpython-lru_cache-weakref
annotate Objects/longobject.c @ 73798:6cde416ef03b
Credit Per Øyvind Karlsen for the initial implementation of the lzma module (issue #6715).
| author | Nadeem Vawda <nadeem.vawda@gmail.com> |
|---|---|
| date | Thu, 01 Dec 2011 01:18:27 +0200 |
| parents | d4839fea4a5a |
| children | dcd3344b6d5b |
| rev | line source |
|---|---|
| 230 | 1 /* Long (arbitrary precision) integer object implementation */ |
| 2 | |
| 242 | 3 /* XXX The functional organization of this file is terrible */ |
| 4 | |
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5 #include "Python.h" |
| 230 | 6 #include "longintrepr.h" |
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7 |
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8 #include <float.h> |
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9 #include <ctype.h> |
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10 #include <stddef.h> |
| 230 | 11 |
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12 #ifndef NSMALLPOSINTS |
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13 #define NSMALLPOSINTS 257 |
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14 #endif |
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15 #ifndef NSMALLNEGINTS |
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16 #define NSMALLNEGINTS 5 |
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17 #endif |
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18 |
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19 /* convert a PyLong of size 1, 0 or -1 to an sdigit */ |
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20 #define MEDIUM_VALUE(x) (Py_SIZE(x) < 0 ? -(sdigit)(x)->ob_digit[0] : \ |
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21 (Py_SIZE(x) == 0 ? (sdigit)0 : \ |
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22 (sdigit)(x)->ob_digit[0])) |
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23 #define ABS(x) ((x) < 0 ? -(x) : (x)) |
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24 |
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25 #if NSMALLNEGINTS + NSMALLPOSINTS > 0 |
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26 /* Small integers are preallocated in this array so that they |
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27 can be shared. |
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28 The integers that are preallocated are those in the range |
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29 -NSMALLNEGINTS (inclusive) to NSMALLPOSINTS (not inclusive). |
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30 */ |
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31 static PyLongObject small_ints[NSMALLNEGINTS + NSMALLPOSINTS]; |
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32 #ifdef COUNT_ALLOCS |
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33 int quick_int_allocs, quick_neg_int_allocs; |
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34 #endif |
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35 |
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36 static PyObject * |
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37 get_small_int(sdigit ival) |
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38 { |
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39 PyObject *v = (PyObject*)(small_ints + ival + NSMALLNEGINTS); |
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40 Py_INCREF(v); |
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41 #ifdef COUNT_ALLOCS |
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42 if (ival >= 0) |
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43 quick_int_allocs++; |
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44 else |
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45 quick_neg_int_allocs++; |
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46 #endif |
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47 return v; |
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48 } |
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49 #define CHECK_SMALL_INT(ival) \ |
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50 do if (-NSMALLNEGINTS <= ival && ival < NSMALLPOSINTS) { \ |
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51 return get_small_int((sdigit)ival); \ |
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52 } while(0) |
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53 |
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54 static PyLongObject * |
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55 maybe_small_long(PyLongObject *v) |
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56 { |
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57 if (v && ABS(Py_SIZE(v)) <= 1) { |
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58 sdigit ival = MEDIUM_VALUE(v); |
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59 if (-NSMALLNEGINTS <= ival && ival < NSMALLPOSINTS) { |
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60 Py_DECREF(v); |
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61 return (PyLongObject *)get_small_int(ival); |
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62 } |
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63 } |
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64 return v; |
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65 } |
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66 #else |
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67 #define CHECK_SMALL_INT(ival) |
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68 #define maybe_small_long(val) (val) |
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69 #endif |
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70 |
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71 /* If a freshly-allocated long is already shared, it must |
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72 be a small integer, so negating it must go to PyLong_FromLong */ |
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73 #define NEGATE(x) \ |
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74 do if (Py_REFCNT(x) == 1) Py_SIZE(x) = -Py_SIZE(x); \ |
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75 else { PyObject* tmp=PyLong_FromLong(-MEDIUM_VALUE(x)); \ |
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76 Py_DECREF(x); (x) = (PyLongObject*)tmp; } \ |
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77 while(0) |
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78 /* For long multiplication, use the O(N**2) school algorithm unless |
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79 * both operands contain more than KARATSUBA_CUTOFF digits (this |
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80 * being an internal Python long digit, in base BASE). |
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81 */ |
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82 #define KARATSUBA_CUTOFF 70 |
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83 #define KARATSUBA_SQUARE_CUTOFF (2 * KARATSUBA_CUTOFF) |
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84 |
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85 /* For exponentiation, use the binary left-to-right algorithm |
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86 * unless the exponent contains more than FIVEARY_CUTOFF digits. |
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87 * In that case, do 5 bits at a time. The potential drawback is that |
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88 * a table of 2**5 intermediate results is computed. |
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89 */ |
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90 #define FIVEARY_CUTOFF 8 |
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91 |
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92 #undef MIN |
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93 #undef MAX |
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94 #define MAX(x, y) ((x) < (y) ? (y) : (x)) |
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95 #define MIN(x, y) ((x) > (y) ? (y) : (x)) |
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96 |
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97 #define SIGCHECK(PyTryBlock) \ |
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98 do { \ |
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99 if (PyErr_CheckSignals()) PyTryBlock \ |
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100 } while(0) |
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101 |
| 230 | 102 /* Normalize (remove leading zeros from) a long int object. |
| 103 Doesn't attempt to free the storage--in most cases, due to the nature | |
| 104 of the algorithms used, this could save at most be one word anyway. */ | |
| 105 | |
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106 static PyLongObject * |
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107 long_normalize(register PyLongObject *v) |
| 230 | 108 { |
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109 Py_ssize_t j = ABS(Py_SIZE(v)); |
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110 Py_ssize_t i = j; |
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111 |
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112 while (i > 0 && v->ob_digit[i-1] == 0) |
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113 --i; |
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114 if (i != j) |
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115 Py_SIZE(v) = (Py_SIZE(v) < 0) ? -(i) : i; |
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116 return v; |
| 230 | 117 } |
| 118 | |
| 119 /* Allocate a new long int object with size digits. | |
| 120 Return NULL and set exception if we run out of memory. */ | |
| 121 | |
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122 #define MAX_LONG_DIGITS \ |
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123 ((PY_SSIZE_T_MAX - offsetof(PyLongObject, ob_digit))/sizeof(digit)) |
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124 |
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125 PyLongObject * |
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126 _PyLong_New(Py_ssize_t size) |
| 230 | 127 { |
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128 PyLongObject *result; |
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129 /* Number of bytes needed is: offsetof(PyLongObject, ob_digit) + |
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130 sizeof(digit)*size. Previous incarnations of this code used |
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131 sizeof(PyVarObject) instead of the offsetof, but this risks being |
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132 incorrect in the presence of padding between the PyVarObject header |
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133 and the digits. */ |
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134 if (size > (Py_ssize_t)MAX_LONG_DIGITS) { |
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135 PyErr_SetString(PyExc_OverflowError, |
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136 "too many digits in integer"); |
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137 return NULL; |
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138 } |
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139 result = PyObject_MALLOC(offsetof(PyLongObject, ob_digit) + |
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140 size*sizeof(digit)); |
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141 if (!result) { |
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142 PyErr_NoMemory(); |
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143 return NULL; |
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144 } |
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145 return (PyLongObject*)PyObject_INIT_VAR(result, &PyLong_Type, size); |
| 230 | 146 } |
| 147 | |
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148 PyObject * |
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149 _PyLong_Copy(PyLongObject *src) |
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150 { |
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151 PyLongObject *result; |
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152 Py_ssize_t i; |
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153 |
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154 assert(src != NULL); |
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155 i = Py_SIZE(src); |
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156 if (i < 0) |
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157 i = -(i); |
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158 if (i < 2) { |
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159 sdigit ival = src->ob_digit[0]; |
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160 if (Py_SIZE(src) < 0) |
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161 ival = -ival; |
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162 CHECK_SMALL_INT(ival); |
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163 } |
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164 result = _PyLong_New(i); |
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165 if (result != NULL) { |
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166 Py_SIZE(result) = Py_SIZE(src); |
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167 while (--i >= 0) |
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168 result->ob_digit[i] = src->ob_digit[i]; |
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169 } |
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170 return (PyObject *)result; |
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171 } |
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172 |
| 230 | 173 /* Create a new long int object from a C long int */ |
| 174 | |
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175 PyObject * |
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176 PyLong_FromLong(long ival) |
| 230 | 177 { |
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178 PyLongObject *v; |
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179 unsigned long abs_ival; |
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180 unsigned long t; /* unsigned so >> doesn't propagate sign bit */ |
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181 int ndigits = 0; |
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182 int sign = 1; |
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183 |
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184 CHECK_SMALL_INT(ival); |
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185 |
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186 if (ival < 0) { |
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187 /* negate: can't write this as abs_ival = -ival since that |
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188 invokes undefined behaviour when ival is LONG_MIN */ |
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189 abs_ival = 0U-(unsigned long)ival; |
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190 sign = -1; |
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191 } |
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192 else { |
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193 abs_ival = (unsigned long)ival; |
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194 } |
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195 |
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196 /* Fast path for single-digit ints */ |
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197 if (!(abs_ival >> PyLong_SHIFT)) { |
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198 v = _PyLong_New(1); |
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199 if (v) { |
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200 Py_SIZE(v) = sign; |
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201 v->ob_digit[0] = Py_SAFE_DOWNCAST( |
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202 abs_ival, unsigned long, digit); |
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203 } |
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204 return (PyObject*)v; |
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205 } |
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206 |
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207 #if PyLong_SHIFT==15 |
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208 /* 2 digits */ |
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209 if (!(abs_ival >> 2*PyLong_SHIFT)) { |
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210 v = _PyLong_New(2); |
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211 if (v) { |
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212 Py_SIZE(v) = 2*sign; |
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213 v->ob_digit[0] = Py_SAFE_DOWNCAST( |
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214 abs_ival & PyLong_MASK, unsigned long, digit); |
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215 v->ob_digit[1] = Py_SAFE_DOWNCAST( |
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216 abs_ival >> PyLong_SHIFT, unsigned long, digit); |
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217 } |
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218 return (PyObject*)v; |
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219 } |
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220 #endif |
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221 |
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222 /* Larger numbers: loop to determine number of digits */ |
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223 t = abs_ival; |
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224 while (t) { |
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225 ++ndigits; |
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226 t >>= PyLong_SHIFT; |
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227 } |
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228 v = _PyLong_New(ndigits); |
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229 if (v != NULL) { |
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230 digit *p = v->ob_digit; |
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231 Py_SIZE(v) = ndigits*sign; |
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232 t = abs_ival; |
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233 while (t) { |
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234 *p++ = Py_SAFE_DOWNCAST( |
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235 t & PyLong_MASK, unsigned long, digit); |
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236 t >>= PyLong_SHIFT; |
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237 } |
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238 } |
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239 return (PyObject *)v; |
| 230 | 240 } |
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242 /* Create a new long int object from a C unsigned long int */ |
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243 |
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244 PyObject * |
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245 PyLong_FromUnsignedLong(unsigned long ival) |
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246 { |
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247 PyLongObject *v; |
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248 unsigned long t; |
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249 int ndigits = 0; |
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250 |
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251 if (ival < PyLong_BASE) |
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252 return PyLong_FromLong(ival); |
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253 /* Count the number of Python digits. */ |
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254 t = (unsigned long)ival; |
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255 while (t) { |
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256 ++ndigits; |
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257 t >>= PyLong_SHIFT; |
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258 } |
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259 v = _PyLong_New(ndigits); |
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260 if (v != NULL) { |
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261 digit *p = v->ob_digit; |
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262 Py_SIZE(v) = ndigits; |
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263 while (ival) { |
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264 *p++ = (digit)(ival & PyLong_MASK); |
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265 ival >>= PyLong_SHIFT; |
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266 } |
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267 } |
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268 return (PyObject *)v; |
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269 } |
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270 |
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271 /* Create a new long int object from a C double */ |
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272 |
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273 PyObject * |
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274 PyLong_FromDouble(double dval) |
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275 { |
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276 PyLongObject *v; |
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277 double frac; |
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278 int i, ndig, expo, neg; |
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279 neg = 0; |
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280 if (Py_IS_INFINITY(dval)) { |
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281 PyErr_SetString(PyExc_OverflowError, |
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282 "cannot convert float infinity to integer"); |
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283 return NULL; |
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284 } |
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285 if (Py_IS_NAN(dval)) { |
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286 PyErr_SetString(PyExc_ValueError, |
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287 "cannot convert float NaN to integer"); |
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288 return NULL; |
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289 } |
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290 if (dval < 0.0) { |
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291 neg = 1; |
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292 dval = -dval; |
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293 } |
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294 frac = frexp(dval, &expo); /* dval = frac*2**expo; 0.0 <= frac < 1.0 */ |
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295 if (expo <= 0) |
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296 return PyLong_FromLong(0L); |
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297 ndig = (expo-1) / PyLong_SHIFT + 1; /* Number of 'digits' in result */ |
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298 v = _PyLong_New(ndig); |
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299 if (v == NULL) |
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300 return NULL; |
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301 frac = ldexp(frac, (expo-1) % PyLong_SHIFT + 1); |
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302 for (i = ndig; --i >= 0; ) { |
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303 digit bits = (digit)frac; |
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304 v->ob_digit[i] = bits; |
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305 frac = frac - (double)bits; |
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306 frac = ldexp(frac, PyLong_SHIFT); |
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307 } |
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308 if (neg) |
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309 Py_SIZE(v) = -(Py_SIZE(v)); |
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310 return (PyObject *)v; |
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311 } |
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312 |
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313 /* Checking for overflow in PyLong_AsLong is a PITA since C doesn't define |
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314 * anything about what happens when a signed integer operation overflows, |
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315 * and some compilers think they're doing you a favor by being "clever" |
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316 * then. The bit pattern for the largest postive signed long is |
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317 * (unsigned long)LONG_MAX, and for the smallest negative signed long |
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318 * it is abs(LONG_MIN), which we could write -(unsigned long)LONG_MIN. |
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319 * However, some other compilers warn about applying unary minus to an |
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320 * unsigned operand. Hence the weird "0-". |
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321 */ |
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322 #define PY_ABS_LONG_MIN (0-(unsigned long)LONG_MIN) |
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323 #define PY_ABS_SSIZE_T_MIN (0-(size_t)PY_SSIZE_T_MIN) |
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324 |
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325 /* Get a C long int from a long int object or any object that has an __int__ |
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326 method. |
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327 |
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328 On overflow, return -1 and set *overflow to 1 or -1 depending on the sign of |
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329 the result. Otherwise *overflow is 0. |
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330 |
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331 For other errors (e.g., TypeError), return -1 and set an error condition. |
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332 In this case *overflow will be 0. |
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333 */ |
| 230 | 334 |
| 335 long | |
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336 PyLong_AsLongAndOverflow(PyObject *vv, int *overflow) |
| 230 | 337 { |
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338 /* This version by Tim Peters */ |
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339 register PyLongObject *v; |
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340 unsigned long x, prev; |
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341 long res; |
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342 Py_ssize_t i; |
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343 int sign; |
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344 int do_decref = 0; /* if nb_int was called */ |
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345 |
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346 *overflow = 0; |
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347 if (vv == NULL) { |
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348 PyErr_BadInternalCall(); |
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349 return -1; |
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350 } |
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351 |
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352 if (!PyLong_Check(vv)) { |
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353 PyNumberMethods *nb; |
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354 nb = vv->ob_type->tp_as_number; |
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355 if (nb == NULL || nb->nb_int == NULL) { |
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356 PyErr_SetString(PyExc_TypeError, |
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357 "an integer is required"); |
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358 return -1; |
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359 } |
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360 vv = (*nb->nb_int) (vv); |
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361 if (vv == NULL) |
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362 return -1; |
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363 do_decref = 1; |
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364 if (!PyLong_Check(vv)) { |
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365 Py_DECREF(vv); |
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366 PyErr_SetString(PyExc_TypeError, |
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367 "nb_int should return int object"); |
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368 return -1; |
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369 } |
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370 } |
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371 |
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372 res = -1; |
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373 v = (PyLongObject *)vv; |
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374 i = Py_SIZE(v); |
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375 |
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376 switch (i) { |
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377 case -1: |
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378 res = -(sdigit)v->ob_digit[0]; |
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379 break; |
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380 case 0: |
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381 res = 0; |
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382 break; |
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383 case 1: |
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384 res = v->ob_digit[0]; |
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385 break; |
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386 default: |
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387 sign = 1; |
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388 x = 0; |
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389 if (i < 0) { |
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390 sign = -1; |
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391 i = -(i); |
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392 } |
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393 while (--i >= 0) { |
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394 prev = x; |
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395 x = (x << PyLong_SHIFT) | v->ob_digit[i]; |
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396 if ((x >> PyLong_SHIFT) != prev) { |
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397 *overflow = sign; |
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398 goto exit; |
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399 } |
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400 } |
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401 /* Haven't lost any bits, but casting to long requires extra |
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402 * care (see comment above). |
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403 */ |
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404 if (x <= (unsigned long)LONG_MAX) { |
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405 res = (long)x * sign; |
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406 } |
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407 else if (sign < 0 && x == PY_ABS_LONG_MIN) { |
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408 res = LONG_MIN; |
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409 } |
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410 else { |
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411 *overflow = sign; |
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412 /* res is already set to -1 */ |
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413 } |
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414 } |
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415 exit: |
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416 if (do_decref) { |
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417 Py_DECREF(vv); |
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418 } |
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419 return res; |
| 230 | 420 } |
| 421 | |
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422 /* Get a C long int from a long int object or any object that has an __int__ |
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423 method. Return -1 and set an error if overflow occurs. */ |
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424 |
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425 long |
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426 PyLong_AsLong(PyObject *obj) |
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427 { |
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428 int overflow; |
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429 long result = PyLong_AsLongAndOverflow(obj, &overflow); |
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430 if (overflow) { |
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431 /* XXX: could be cute and give a different |
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432 message for overflow == -1 */ |
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433 PyErr_SetString(PyExc_OverflowError, |
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434 "Python int too large to convert to C long"); |
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435 } |
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436 return result; |
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437 } |
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438 |
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439 /* Get a Py_ssize_t from a long int object. |
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440 Returns -1 and sets an error condition if overflow occurs. */ |
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441 |
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442 Py_ssize_t |
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443 PyLong_AsSsize_t(PyObject *vv) { |
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444 register PyLongObject *v; |
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445 size_t x, prev; |
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446 Py_ssize_t i; |
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447 int sign; |
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448 |
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449 if (vv == NULL) { |
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450 PyErr_BadInternalCall(); |
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451 return -1; |
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452 } |
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453 if (!PyLong_Check(vv)) { |
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454 PyErr_SetString(PyExc_TypeError, "an integer is required"); |
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455 return -1; |
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456 } |
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457 |
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458 v = (PyLongObject *)vv; |
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459 i = Py_SIZE(v); |
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460 switch (i) { |
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461 case -1: return -(sdigit)v->ob_digit[0]; |
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462 case 0: return 0; |
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463 case 1: return v->ob_digit[0]; |
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464 } |
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465 sign = 1; |
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466 x = 0; |
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467 if (i < 0) { |
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468 sign = -1; |
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469 i = -(i); |
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470 } |
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471 while (--i >= 0) { |
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472 prev = x; |
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473 x = (x << PyLong_SHIFT) | v->ob_digit[i]; |
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474 if ((x >> PyLong_SHIFT) != prev) |
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475 goto overflow; |
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476 } |
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477 /* Haven't lost any bits, but casting to a signed type requires |
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478 * extra care (see comment above). |
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479 */ |
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480 if (x <= (size_t)PY_SSIZE_T_MAX) { |
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481 return (Py_ssize_t)x * sign; |
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482 } |
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483 else if (sign < 0 && x == PY_ABS_SSIZE_T_MIN) { |
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484 return PY_SSIZE_T_MIN; |
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485 } |
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486 /* else overflow */ |
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487 |
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488 overflow: |
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489 PyErr_SetString(PyExc_OverflowError, |
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490 "Python int too large to convert to C ssize_t"); |
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491 return -1; |
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492 } |
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493 |
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494 /* Get a C unsigned long int from a long int object. |
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495 Returns -1 and sets an error condition if overflow occurs. */ |
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496 |
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497 unsigned long |
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498 PyLong_AsUnsignedLong(PyObject *vv) |
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499 { |
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500 register PyLongObject *v; |
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501 unsigned long x, prev; |
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502 Py_ssize_t i; |
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503 |
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504 if (vv == NULL) { |
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505 PyErr_BadInternalCall(); |
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506 return (unsigned long)-1; |
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507 } |
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508 if (!PyLong_Check(vv)) { |
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509 PyErr_SetString(PyExc_TypeError, "an integer is required"); |
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510 return (unsigned long)-1; |
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511 } |
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512 |
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513 v = (PyLongObject *)vv; |
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514 i = Py_SIZE(v); |
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515 x = 0; |
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516 if (i < 0) { |
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517 PyErr_SetString(PyExc_OverflowError, |
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518 "can't convert negative value to unsigned int"); |
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519 return (unsigned long) -1; |
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520 } |
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521 switch (i) { |
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522 case 0: return 0; |
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523 case 1: return v->ob_digit[0]; |
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524 } |
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525 while (--i >= 0) { |
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526 prev = x; |
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527 x = (x << PyLong_SHIFT) | v->ob_digit[i]; |
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528 if ((x >> PyLong_SHIFT) != prev) { |
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529 PyErr_SetString(PyExc_OverflowError, |
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530 "python int too large to convert " |
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531 "to C unsigned long"); |
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532 return (unsigned long) -1; |
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533 } |
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534 } |
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535 return x; |
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536 } |
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537 |
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538 /* Get a C size_t from a long int object. Returns (size_t)-1 and sets |
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539 an error condition if overflow occurs. */ |
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540 |
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541 size_t |
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542 PyLong_AsSize_t(PyObject *vv) |
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543 { |
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544 register PyLongObject *v; |
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545 size_t x, prev; |
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546 Py_ssize_t i; |
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547 |
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548 if (vv == NULL) { |
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549 PyErr_BadInternalCall(); |
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550 return (size_t) -1; |
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551 } |
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552 if (!PyLong_Check(vv)) { |
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553 PyErr_SetString(PyExc_TypeError, "an integer is required"); |
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554 return (size_t)-1; |
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555 } |
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556 |
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557 v = (PyLongObject *)vv; |
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558 i = Py_SIZE(v); |
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559 x = 0; |
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560 if (i < 0) { |
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561 PyErr_SetString(PyExc_OverflowError, |
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562 "can't convert negative value to size_t"); |
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563 return (size_t) -1; |
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564 } |
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565 switch (i) { |
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566 case 0: return 0; |
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567 case 1: return v->ob_digit[0]; |
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568 } |
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569 while (--i >= 0) { |
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570 prev = x; |
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571 x = (x << PyLong_SHIFT) | v->ob_digit[i]; |
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572 if ((x >> PyLong_SHIFT) != prev) { |
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573 PyErr_SetString(PyExc_OverflowError, |
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574 "Python int too large to convert to C size_t"); |
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575 return (size_t) -1; |
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576 } |
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577 } |
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578 return x; |
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579 } |
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580 |
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581 /* Get a C unsigned long int from a long int object, ignoring the high bits. |
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582 Returns -1 and sets an error condition if an error occurs. */ |
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583 |
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584 static unsigned long |
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585 _PyLong_AsUnsignedLongMask(PyObject *vv) |
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586 { |
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587 register PyLongObject *v; |
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588 unsigned long x; |
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589 Py_ssize_t i; |
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590 int sign; |
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591 |
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592 if (vv == NULL || !PyLong_Check(vv)) { |
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593 PyErr_BadInternalCall(); |
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594 return (unsigned long) -1; |
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595 } |
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596 v = (PyLongObject *)vv; |
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597 i = Py_SIZE(v); |
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598 switch (i) { |
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599 case 0: return 0; |
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600 case 1: return v->ob_digit[0]; |
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601 } |
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602 sign = 1; |
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603 x = 0; |
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604 if (i < 0) { |
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605 sign = -1; |
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606 i = -i; |
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607 } |
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608 while (--i >= 0) { |
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609 x = (x << PyLong_SHIFT) | v->ob_digit[i]; |
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610 } |
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611 return x * sign; |
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612 } |
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613 |
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614 unsigned long |
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615 PyLong_AsUnsignedLongMask(register PyObject *op) |
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616 { |
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617 PyNumberMethods *nb; |
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618 PyLongObject *lo; |
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619 unsigned long val; |
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620 |
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621 if (op && PyLong_Check(op)) |
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622 return _PyLong_AsUnsignedLongMask(op); |
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623 |
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624 if (op == NULL || (nb = op->ob_type->tp_as_number) == NULL || |
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625 nb->nb_int == NULL) { |
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626 PyErr_SetString(PyExc_TypeError, "an integer is required"); |
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627 return (unsigned long)-1; |
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628 } |
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629 |
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630 lo = (PyLongObject*) (*nb->nb_int) (op); |
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631 if (lo == NULL) |
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632 return (unsigned long)-1; |
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633 if (PyLong_Check(lo)) { |
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634 val = _PyLong_AsUnsignedLongMask((PyObject *)lo); |
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635 Py_DECREF(lo); |
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636 if (PyErr_Occurred()) |
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637 return (unsigned long)-1; |
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638 return val; |
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639 } |
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640 else |
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641 { |
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642 Py_DECREF(lo); |
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643 PyErr_SetString(PyExc_TypeError, |
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644 "nb_int should return int object"); |
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645 return (unsigned long)-1; |
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646 } |
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647 } |
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648 |
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649 int |
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650 _PyLong_Sign(PyObject *vv) |
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651 { |
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652 PyLongObject *v = (PyLongObject *)vv; |
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653 |
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654 assert(v != NULL); |
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655 assert(PyLong_Check(v)); |
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656 |
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657 return Py_SIZE(v) == 0 ? 0 : (Py_SIZE(v) < 0 ? -1 : 1); |
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658 } |
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659 |
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660 size_t |
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661 _PyLong_NumBits(PyObject *vv) |
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662 { |
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663 PyLongObject *v = (PyLongObject *)vv; |
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664 size_t result = 0; |
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665 Py_ssize_t ndigits; |
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666 |
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667 assert(v != NULL); |
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668 assert(PyLong_Check(v)); |
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669 ndigits = ABS(Py_SIZE(v)); |
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670 assert(ndigits == 0 || v->ob_digit[ndigits - 1] != 0); |
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671 if (ndigits > 0) { |
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672 digit msd = v->ob_digit[ndigits - 1]; |
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673 |
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674 result = (ndigits - 1) * PyLong_SHIFT; |
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675 if (result / PyLong_SHIFT != (size_t)(ndigits - 1)) |
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676 goto Overflow; |
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677 do { |
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678 ++result; |
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679 if (result == 0) |
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680 goto Overflow; |
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681 msd >>= 1; |
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682 } while (msd); |
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683 } |
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684 return result; |
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686 Overflow: |
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687 PyErr_SetString(PyExc_OverflowError, "int has too many bits " |
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688 "to express in a platform size_t"); |
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689 return (size_t)-1; |
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690 } |
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691 |
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692 PyObject * |
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693 _PyLong_FromByteArray(const unsigned char* bytes, size_t n, |
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694 int little_endian, int is_signed) |
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695 { |
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696 const unsigned char* pstartbyte; /* LSB of bytes */ |
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697 int incr; /* direction to move pstartbyte */ |
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698 const unsigned char* pendbyte; /* MSB of bytes */ |
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699 size_t numsignificantbytes; /* number of bytes that matter */ |
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700 Py_ssize_t ndigits; /* number of Python long digits */ |
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701 PyLongObject* v; /* result */ |
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702 Py_ssize_t idigit = 0; /* next free index in v->ob_digit */ |
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703 |
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704 if (n == 0) |
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705 return PyLong_FromLong(0L); |
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706 |
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707 if (little_endian) { |
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708 pstartbyte = bytes; |
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709 pendbyte = bytes + n - 1; |
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710 incr = 1; |
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711 } |
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712 else { |
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713 pstartbyte = bytes + n - 1; |
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714 pendbyte = bytes; |
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715 incr = -1; |
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716 } |
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717 |
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718 if (is_signed) |
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719 is_signed = *pendbyte >= 0x80; |
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720 |
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721 /* Compute numsignificantbytes. This consists of finding the most |
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722 significant byte. Leading 0 bytes are insignificant if the number |
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723 is positive, and leading 0xff bytes if negative. */ |
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724 { |
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725 size_t i; |
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726 const unsigned char* p = pendbyte; |
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727 const int pincr = -incr; /* search MSB to LSB */ |
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728 const unsigned char insignficant = is_signed ? 0xff : 0x00; |
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729 |
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730 for (i = 0; i < n; ++i, p += pincr) { |
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731 if (*p != insignficant) |
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732 break; |
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733 } |
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734 numsignificantbytes = n - i; |
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735 /* 2's-comp is a bit tricky here, e.g. 0xff00 == -0x0100, so |
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736 actually has 2 significant bytes. OTOH, 0xff0001 == |
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737 -0x00ffff, so we wouldn't *need* to bump it there; but we |
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738 do for 0xffff = -0x0001. To be safe without bothering to |
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739 check every case, bump it regardless. */ |
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740 if (is_signed && numsignificantbytes < n) |
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741 ++numsignificantbytes; |
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742 } |
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743 |
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744 /* How many Python long digits do we need? We have |
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745 8*numsignificantbytes bits, and each Python long digit has |
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746 PyLong_SHIFT bits, so it's the ceiling of the quotient. */ |
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747 /* catch overflow before it happens */ |
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748 if (numsignificantbytes > (PY_SSIZE_T_MAX - PyLong_SHIFT) / 8) { |
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749 PyErr_SetString(PyExc_OverflowError, |
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750 "byte array too long to convert to int"); |
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751 return NULL; |
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752 } |
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753 ndigits = (numsignificantbytes * 8 + PyLong_SHIFT - 1) / PyLong_SHIFT; |
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754 v = _PyLong_New(ndigits); |
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755 if (v == NULL) |
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756 return NULL; |
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757 |
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758 /* Copy the bits over. The tricky parts are computing 2's-comp on |
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759 the fly for signed numbers, and dealing with the mismatch between |
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760 8-bit bytes and (probably) 15-bit Python digits.*/ |
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761 { |
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762 size_t i; |
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763 twodigits carry = 1; /* for 2's-comp calculation */ |
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764 twodigits accum = 0; /* sliding register */ |
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765 unsigned int accumbits = 0; /* number of bits in accum */ |
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766 const unsigned char* p = pstartbyte; |
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767 |
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768 for (i = 0; i < numsignificantbytes; ++i, p += incr) { |
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769 twodigits thisbyte = *p; |
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770 /* Compute correction for 2's comp, if needed. */ |
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771 if (is_signed) { |
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772 thisbyte = (0xff ^ thisbyte) + carry; |
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773 carry = thisbyte >> 8; |
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774 thisbyte &= 0xff; |
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775 } |
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776 /* Because we're going LSB to MSB, thisbyte is |
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777 more significant than what's already in accum, |
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778 so needs to be prepended to accum. */ |
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779 accum |= (twodigits)thisbyte << accumbits; |
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780 accumbits += 8; |
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781 if (accumbits >= PyLong_SHIFT) { |
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782 /* There's enough to fill a Python digit. */ |
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783 assert(idigit < ndigits); |
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784 v->ob_digit[idigit] = (digit)(accum & PyLong_MASK); |
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785 ++idigit; |
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786 accum >>= PyLong_SHIFT; |
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787 accumbits -= PyLong_SHIFT; |
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788 assert(accumbits < PyLong_SHIFT); |
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789 } |
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790 } |
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791 assert(accumbits < PyLong_SHIFT); |
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792 if (accumbits) { |
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793 assert(idigit < ndigits); |
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794 v->ob_digit[idigit] = (digit)accum; |
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795 ++idigit; |
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796 } |
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797 } |
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798 |
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799 Py_SIZE(v) = is_signed ? -idigit : idigit; |
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800 return (PyObject *)long_normalize(v); |
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801 } |
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802 |
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803 int |
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804 _PyLong_AsByteArray(PyLongObject* v, |
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805 unsigned char* bytes, size_t n, |
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806 int little_endian, int is_signed) |
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807 { |
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808 Py_ssize_t i; /* index into v->ob_digit */ |
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809 Py_ssize_t ndigits; /* |v->ob_size| */ |
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810 twodigits accum; /* sliding register */ |
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811 unsigned int accumbits; /* # bits in accum */ |
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812 int do_twos_comp; /* store 2's-comp? is_signed and v < 0 */ |
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813 digit carry; /* for computing 2's-comp */ |
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814 size_t j; /* # bytes filled */ |
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815 unsigned char* p; /* pointer to next byte in bytes */ |
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816 int pincr; /* direction to move p */ |
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817 |
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818 assert(v != NULL && PyLong_Check(v)); |
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819 |
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820 if (Py_SIZE(v) < 0) { |
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821 ndigits = -(Py_SIZE(v)); |
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822 if (!is_signed) { |
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823 PyErr_SetString(PyExc_OverflowError, |
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824 "can't convert negative int to unsigned"); |
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825 return -1; |
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826 } |
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827 do_twos_comp = 1; |
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828 } |
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829 else { |
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830 ndigits = Py_SIZE(v); |
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831 do_twos_comp = 0; |
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832 } |
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833 |
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834 if (little_endian) { |
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835 p = bytes; |
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836 pincr = 1; |
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837 } |
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838 else { |
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839 p = bytes + n - 1; |
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840 pincr = -1; |
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841 } |
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842 |
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843 /* Copy over all the Python digits. |
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844 It's crucial that every Python digit except for the MSD contribute |
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845 exactly PyLong_SHIFT bits to the total, so first assert that the long is |
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846 normalized. */ |
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847 assert(ndigits == 0 || v->ob_digit[ndigits - 1] != 0); |
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848 j = 0; |
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849 accum = 0; |
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850 accumbits = 0; |
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851 carry = do_twos_comp ? 1 : 0; |
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852 for (i = 0; i < ndigits; ++i) { |
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853 digit thisdigit = v->ob_digit[i]; |
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854 if (do_twos_comp) { |
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855 thisdigit = (thisdigit ^ PyLong_MASK) + carry; |
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856 carry = thisdigit >> PyLong_SHIFT; |
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857 thisdigit &= PyLong_MASK; |
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858 } |
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859 /* Because we're going LSB to MSB, thisdigit is more |
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860 significant than what's already in accum, so needs to be |
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861 prepended to accum. */ |
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862 accum |= (twodigits)thisdigit << accumbits; |
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863 |
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864 /* The most-significant digit may be (probably is) at least |
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865 partly empty. */ |
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866 if (i == ndigits - 1) { |
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867 /* Count # of sign bits -- they needn't be stored, |
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868 * although for signed conversion we need later to |
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869 * make sure at least one sign bit gets stored. */ |
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870 digit s = do_twos_comp ? thisdigit ^ PyLong_MASK : thisdigit; |
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871 while (s != 0) { |
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872 s >>= 1; |
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873 accumbits++; |
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874 } |
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875 } |
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876 else |
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877 accumbits += PyLong_SHIFT; |
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878 |
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879 /* Store as many bytes as possible. */ |
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880 while (accumbits >= 8) { |
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881 if (j >= n) |
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882 goto Overflow; |
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883 ++j; |
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884 *p = (unsigned char)(accum & 0xff); |
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885 p += pincr; |
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886 accumbits -= 8; |
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887 accum >>= 8; |
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888 } |
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889 } |
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890 |
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891 /* Store the straggler (if any). */ |
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892 assert(accumbits < 8); |
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893 assert(carry == 0); /* else do_twos_comp and *every* digit was 0 */ |
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894 if (accumbits > 0) { |
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895 if (j >= n) |
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896 goto Overflow; |
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|
897 ++j; |
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|
898 if (do_twos_comp) { |
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899 /* Fill leading bits of the byte with sign bits |
|
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|
900 (appropriately pretending that the long had an |
|
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|
901 infinite supply of sign bits). */ |
|
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|
902 accum |= (~(twodigits)0) << accumbits; |
|
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|
903 } |
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|
904 *p = (unsigned char)(accum & 0xff); |
|
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|
905 p += pincr; |
|
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906 } |
|
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|
907 else if (j == n && n > 0 && is_signed) { |
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|
908 /* The main loop filled the byte array exactly, so the code |
|
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|
909 just above didn't get to ensure there's a sign bit, and the |
|
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|
910 loop below wouldn't add one either. Make sure a sign bit |
|
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|
911 exists. */ |
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912 unsigned char msb = *(p - pincr); |
|
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|
913 int sign_bit_set = msb >= 0x80; |
|
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|
914 assert(accumbits == 0); |
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|
915 if (sign_bit_set == do_twos_comp) |
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|
916 return 0; |
|
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|
917 else |
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|
918 goto Overflow; |
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919 } |
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|
920 |
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|
921 /* Fill remaining bytes with copies of the sign bit. */ |
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922 { |
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923 unsigned char signbyte = do_twos_comp ? 0xffU : 0U; |
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924 for ( ; j < n; ++j, p += pincr) |
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925 *p = signbyte; |
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926 } |
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927 |
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|
928 return 0; |
|
18082
dd09f11fa40d
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Tim Peters <tim.peters@gmail.com>
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|
929 |
|
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930 Overflow: |
|
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931 PyErr_SetString(PyExc_OverflowError, "int too big to convert"); |
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932 return -1; |
|
24745
ba035f4b47c1
Cautious introduction of a patch that started from
Tim Peters <tim.peters@gmail.com>
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|
933 |
|
18082
dd09f11fa40d
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Tim Peters <tim.peters@gmail.com>
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|
934 } |
|
dd09f11fa40d
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Tim Peters <tim.peters@gmail.com>
parents:
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|
935 |
|
73075
d4839fea4a5a
Issue #12965: Fix some inaccurate comments in Objects/longobject.c. Thanks Stefan Krah.
Mark Dickinson <mdickinson@enthought.com>
parents:
72510
diff
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|
936 /* Create a new long int object from a C pointer */ |
|
9123
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Guido van Rossum <guido@python.org>
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|
937 |
|
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|
938 PyObject * |
|
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Tim Peters <tim.peters@gmail.com>
parents:
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|
939 PyLong_FromVoidPtr(void *p) |
|
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|
940 { |
|
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parents:
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|
941 #ifndef HAVE_LONG_LONG |
|
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|
942 # error "PyLong_FromVoidPtr: sizeof(void*) > sizeof(long), but no long long" |
|
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|
943 #endif |
|
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|
944 #if SIZEOF_LONG_LONG < SIZEOF_VOID_P |
|
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|
945 # error "PyLong_FromVoidPtr: sizeof(PY_LONG_LONG) < sizeof(void*)" |
|
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|
946 #endif |
|
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|
947 /* special-case null pointer */ |
|
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|
948 if (!p) |
|
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|
949 return PyLong_FromLong(0); |
|
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|
950 return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG)(Py_uintptr_t)p); |
|
40626
4aee3f672f77
Merged the int/long unification branch, by very crude means (sorry Thomas!).
Guido van Rossum <guido@python.org>
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40450
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|
951 |
|
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|
952 } |
|
17d0c51e0887
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Guido van Rossum <guido@python.org>
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|
953 |
|
73075
d4839fea4a5a
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Mark Dickinson <mdickinson@enthought.com>
parents:
72510
diff
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|
954 /* Get a C pointer from a long int object. */ |
|
9123
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|
955 |
|
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|
956 void * |
|
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|
957 PyLong_AsVoidPtr(PyObject *vv) |
|
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|
958 { |
|
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|
959 #if SIZEOF_VOID_P <= SIZEOF_LONG |
|
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960 long x; |
|
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961 |
|
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|
962 if (PyLong_Check(vv) && _PyLong_Sign(vv) < 0) |
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|
963 x = PyLong_AsLong(vv); |
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964 else |
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|
965 x = PyLong_AsUnsignedLong(vv); |
|
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|
966 #else |
|
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Tim Peters <tim.peters@gmail.com>
parents:
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|
967 |
|
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Tim Peters <tim.peters@gmail.com>
parents:
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|
968 #ifndef HAVE_LONG_LONG |
|
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Tim Peters <tim.peters@gmail.com>
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|
969 # error "PyLong_AsVoidPtr: sizeof(void*) > sizeof(long), but no long long" |
|
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|
970 #endif |
|
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parents:
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|
971 #if SIZEOF_LONG_LONG < SIZEOF_VOID_P |
|
28437
871da703e4c0
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Martin v. Löwis <martin@v.loewis.de>
parents:
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|
972 # error "PyLong_AsVoidPtr: sizeof(PY_LONG_LONG) < sizeof(void*)" |
|
18134
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|
973 #endif |
|
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|
974 PY_LONG_LONG x; |
|
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975 |
|
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|
976 if (PyLong_Check(vv) && _PyLong_Sign(vv) < 0) |
|
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977 x = PyLong_AsLongLong(vv); |
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978 else |
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|
979 x = PyLong_AsUnsignedLongLong(vv); |
|
18134
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|
980 |
|
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Tim Peters <tim.peters@gmail.com>
parents:
18121
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|
981 #endif /* SIZEOF_VOID_P <= SIZEOF_LONG */ |
|
9123
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|
982 |
|
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983 if (x == -1 && PyErr_Occurred()) |
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|
984 return NULL; |
|
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|
985 return (void *)x; |
|
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Guido van Rossum <guido@python.org>
parents:
9094
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|
986 } |
|
17d0c51e0887
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Guido van Rossum <guido@python.org>
parents:
9094
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|
987 |
|
8822
bd47ee068b83
Changes for BeOS, QNX and long long, by Chris Herborth.
Guido van Rossum <guido@python.org>
parents:
8808
diff
changeset
|
988 #ifdef HAVE_LONG_LONG |
| 18093 | 989 |
|
28437
871da703e4c0
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Martin v. Löwis <martin@v.loewis.de>
parents:
28032
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|
990 /* Initial PY_LONG_LONG support by Chris Herborth (chrish@qnx.com), later |
| 18093 | 991 * rewritten to use the newer PyLong_{As,From}ByteArray API. |
|
8822
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|
992 */ |
|
bd47ee068b83
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Guido van Rossum <guido@python.org>
parents:
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|
993 |
|
18121
166b7b365851
Change IS_LITTLE_ENDIAN macro -- a little faster now.
Tim Peters <tim.peters@gmail.com>
parents:
18115
diff
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|
994 #define IS_LITTLE_ENDIAN (int)*(unsigned char*)&one |
|
61491
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|
995 #define PY_ABS_LLONG_MIN (0-(unsigned PY_LONG_LONG)PY_LLONG_MIN) |
| 18093 | 996 |
|
28437
871da703e4c0
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Martin v. Löwis <martin@v.loewis.de>
parents:
28032
diff
changeset
|
997 /* Create a new long int object from a C PY_LONG_LONG int. */ |
|
8822
bd47ee068b83
Changes for BeOS, QNX and long long, by Chris Herborth.
Guido van Rossum <guido@python.org>
parents:
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diff
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|
998 |
|
bd47ee068b83
Changes for BeOS, QNX and long long, by Chris Herborth.
Guido van Rossum <guido@python.org>
parents:
8808
diff
changeset
|
999 PyObject * |
|
28437
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Martin v. Löwis <martin@v.loewis.de>
parents:
28032
diff
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|
1000 PyLong_FromLongLong(PY_LONG_LONG ival) |
|
8822
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|
1001 { |
|
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|
1002 PyLongObject *v; |
|
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1003 unsigned PY_LONG_LONG abs_ival; |
|
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|
1004 unsigned PY_LONG_LONG t; /* unsigned so >> doesn't propagate sign bit */ |
|
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|
1005 int ndigits = 0; |
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1006 int negative = 0; |
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1007 |
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1008 CHECK_SMALL_INT(ival); |
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1009 if (ival < 0) { |
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1010 /* avoid signed overflow on negation; see comments |
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1011 in PyLong_FromLong above. */ |
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1012 abs_ival = (unsigned PY_LONG_LONG)(-1-ival) + 1; |
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1013 negative = 1; |
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1014 } |
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1015 else { |
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1016 abs_ival = (unsigned PY_LONG_LONG)ival; |
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1017 } |
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1018 |
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1019 /* Count the number of Python digits. |
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1020 We used to pick 5 ("big enough for anything"), but that's a |
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1021 waste of time and space given that 5*15 = 75 bits are rarely |
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1022 needed. */ |
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1023 t = abs_ival; |
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1024 while (t) { |
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1025 ++ndigits; |
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1026 t >>= PyLong_SHIFT; |
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1027 } |
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1028 v = _PyLong_New(ndigits); |
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1029 if (v != NULL) { |
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1030 digit *p = v->ob_digit; |
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1031 Py_SIZE(v) = negative ? -ndigits : ndigits; |
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1032 t = abs_ival; |
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1033 while (t) { |
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1034 *p++ = (digit)(t & PyLong_MASK); |
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1035 t >>= PyLong_SHIFT; |
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1036 } |
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1037 } |
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1038 return (PyObject *)v; |
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1039 } |
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1040 |
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1041 /* Create a new long int object from a C unsigned PY_LONG_LONG int. */ |
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1043 PyObject * |
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1044 PyLong_FromUnsignedLongLong(unsigned PY_LONG_LONG ival) |
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1045 { |
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1046 PyLongObject *v; |
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1047 unsigned PY_LONG_LONG t; |
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1048 int ndigits = 0; |
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1049 |
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1050 if (ival < PyLong_BASE) |
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1051 return PyLong_FromLong((long)ival); |
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1052 /* Count the number of Python digits. */ |
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1053 t = (unsigned PY_LONG_LONG)ival; |
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1054 while (t) { |
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1055 ++ndigits; |
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1056 t >>= PyLong_SHIFT; |
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1057 } |
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1058 v = _PyLong_New(ndigits); |
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1059 if (v != NULL) { |
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1060 digit *p = v->ob_digit; |
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1061 Py_SIZE(v) = ndigits; |
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1062 while (ival) { |
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1063 *p++ = (digit)(ival & PyLong_MASK); |
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1064 ival >>= PyLong_SHIFT; |
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1065 } |
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1066 } |
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1067 return (PyObject *)v; |
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1068 } |
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1069 |
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1070 /* Create a new long int object from a C Py_ssize_t. */ |
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1071 |
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1072 PyObject * |
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1073 PyLong_FromSsize_t(Py_ssize_t ival) |
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1074 { |
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1075 PyLongObject *v; |
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1076 size_t abs_ival; |
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1077 size_t t; /* unsigned so >> doesn't propagate sign bit */ |
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1078 int ndigits = 0; |
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1079 int negative = 0; |
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1080 |
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1081 CHECK_SMALL_INT(ival); |
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1082 if (ival < 0) { |
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1083 /* avoid signed overflow when ival = SIZE_T_MIN */ |
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1084 abs_ival = (size_t)(-1-ival)+1; |
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1085 negative = 1; |
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1086 } |
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1087 else { |
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1088 abs_ival = (size_t)ival; |
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1089 } |
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1090 |
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1091 /* Count the number of Python digits. */ |
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1092 t = abs_ival; |
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1093 while (t) { |
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1094 ++ndigits; |
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1095 t >>= PyLong_SHIFT; |
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1096 } |
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1097 v = _PyLong_New(ndigits); |
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1098 if (v != NULL) { |
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1099 digit *p = v->ob_digit; |
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1100 Py_SIZE(v) = negative ? -ndigits : ndigits; |
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1101 t = abs_ival; |
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1102 while (t) { |
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1103 *p++ = (digit)(t & PyLong_MASK); |
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1104 t >>= PyLong_SHIFT; |
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1105 } |
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1106 } |
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1107 return (PyObject *)v; |
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1108 } |
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1109 |
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1110 /* Create a new long int object from a C size_t. */ |
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1111 |
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1112 PyObject * |
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1113 PyLong_FromSize_t(size_t ival) |
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1114 { |
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1115 PyLongObject *v; |
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1116 size_t t; |
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1117 int ndigits = 0; |
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1118 |
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1119 if (ival < PyLong_BASE) |
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1120 return PyLong_FromLong((long)ival); |
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1121 /* Count the number of Python digits. */ |
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1122 t = ival; |
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1123 while (t) { |
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1124 ++ndigits; |
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1125 t >>= PyLong_SHIFT; |
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1126 } |
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1127 v = _PyLong_New(ndigits); |
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1128 if (v != NULL) { |
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1129 digit *p = v->ob_digit; |
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1130 Py_SIZE(v) = ndigits; |
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1131 while (ival) { |
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1132 *p++ = (digit)(ival & PyLong_MASK); |
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1133 ival >>= PyLong_SHIFT; |
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1134 } |
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1135 } |
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1136 return (PyObject *)v; |
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1137 } |
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1138 |
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1139 /* Get a C long long int from a long int object or any object that has an |
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1140 __int__ method. Return -1 and set an error if overflow occurs. */ |
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1141 |
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1142 PY_LONG_LONG |
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1143 PyLong_AsLongLong(PyObject *vv) |
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1144 { |
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1145 PyLongObject *v; |
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1146 PY_LONG_LONG bytes; |
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1147 int one = 1; |
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1148 int res; |
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1149 |
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1150 if (vv == NULL) { |
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1151 PyErr_BadInternalCall(); |
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1152 return -1; |
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1153 } |
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1154 if (!PyLong_Check(vv)) { |
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1155 PyNumberMethods *nb; |
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1156 PyObject *io; |
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1157 if ((nb = vv->ob_type->tp_as_number) == NULL || |
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1158 nb->nb_int == NULL) { |
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1159 PyErr_SetString(PyExc_TypeError, "an integer is required"); |
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1160 return -1; |
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1161 } |
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1162 io = (*nb->nb_int) (vv); |
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1163 if (io == NULL) |
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1164 return -1; |
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1165 if (PyLong_Check(io)) { |
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1166 bytes = PyLong_AsLongLong(io); |
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1167 Py_DECREF(io); |
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1168 return bytes; |
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1169 } |
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1170 Py_DECREF(io); |
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1171 PyErr_SetString(PyExc_TypeError, "integer conversion failed"); |
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1172 return -1; |
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1173 } |
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1174 |
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1175 v = (PyLongObject*)vv; |
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1176 switch(Py_SIZE(v)) { |
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1177 case -1: return -(sdigit)v->ob_digit[0]; |
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1178 case 0: return 0; |
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1179 case 1: return v->ob_digit[0]; |
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1180 } |
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1181 res = _PyLong_AsByteArray((PyLongObject *)vv, (unsigned char *)&bytes, |
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1182 SIZEOF_LONG_LONG, IS_LITTLE_ENDIAN, 1); |
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1183 |
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1184 /* Plan 9 can't handle PY_LONG_LONG in ? : expressions */ |
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1185 if (res < 0) |
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1186 return (PY_LONG_LONG)-1; |
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1187 else |
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1188 return bytes; |
| 18093 | 1189 } |
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1191 /* Get a C unsigned PY_LONG_LONG int from a long int object. |
| 18093 | 1192 Return -1 and set an error if overflow occurs. */ |
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1193 |
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1194 unsigned PY_LONG_LONG |
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1195 PyLong_AsUnsignedLongLong(PyObject *vv) |
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1196 { |
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1197 PyLongObject *v; |
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1198 unsigned PY_LONG_LONG bytes; |
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1199 int one = 1; |
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1200 int res; |
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1201 |
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1202 if (vv == NULL) { |
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1203 PyErr_BadInternalCall(); |
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1204 return (unsigned PY_LONG_LONG)-1; |
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1205 } |
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1206 if (!PyLong_Check(vv)) { |
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1207 PyErr_SetString(PyExc_TypeError, "an integer is required"); |
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1208 return (unsigned PY_LONG_LONG)-1; |
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1209 } |
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1210 |
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1211 v = (PyLongObject*)vv; |
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1212 switch(Py_SIZE(v)) { |
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1213 case 0: return 0; |
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1214 case 1: return v->ob_digit[0]; |
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1215 } |
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1216 |
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1217 res = _PyLong_AsByteArray((PyLongObject *)vv, (unsigned char *)&bytes, |
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1218 SIZEOF_LONG_LONG, IS_LITTLE_ENDIAN, 0); |
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1219 |
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1220 /* Plan 9 can't handle PY_LONG_LONG in ? : expressions */ |
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1221 if (res < 0) |
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1222 return (unsigned PY_LONG_LONG)res; |
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1223 else |
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1224 return bytes; |
| 18093 | 1225 } |
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1227 /* Get a C unsigned long int from a long int object, ignoring the high bits. |
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1228 Returns -1 and sets an error condition if an error occurs. */ |
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1230 static unsigned PY_LONG_LONG |
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1231 _PyLong_AsUnsignedLongLongMask(PyObject *vv) |
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1232 { |
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1233 register PyLongObject *v; |
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1234 unsigned PY_LONG_LONG x; |
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1235 Py_ssize_t i; |
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1236 int sign; |
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1237 |
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1238 if (vv == NULL || !PyLong_Check(vv)) { |
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1239 PyErr_BadInternalCall(); |
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1240 return (unsigned long) -1; |
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1241 } |
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1242 v = (PyLongObject *)vv; |
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1243 switch(Py_SIZE(v)) { |
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1244 case 0: return 0; |
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1245 case 1: return v->ob_digit[0]; |
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1246 } |
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1247 i = Py_SIZE(v); |
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1248 sign = 1; |
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1249 x = 0; |
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1250 if (i < 0) { |
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1251 sign = -1; |
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1252 i = -i; |
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1253 } |
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1254 while (--i >= 0) { |
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1255 x = (x << PyLong_SHIFT) | v->ob_digit[i]; |
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1256 } |
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1257 return x * sign; |
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1258 } |
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1259 |
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1260 unsigned PY_LONG_LONG |
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1261 PyLong_AsUnsignedLongLongMask(register PyObject *op) |
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1262 { |
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1263 PyNumberMethods *nb; |
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1264 PyLongObject *lo; |
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1265 unsigned PY_LONG_LONG val; |
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1266 |
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1267 if (op && PyLong_Check(op)) |
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1268 return _PyLong_AsUnsignedLongLongMask(op); |
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1269 |
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1270 if (op == NULL || (nb = op->ob_type->tp_as_number) == NULL || |
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1271 nb->nb_int == NULL) { |
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1272 PyErr_SetString(PyExc_TypeError, "an integer is required"); |
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1273 return (unsigned PY_LONG_LONG)-1; |
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1274 } |
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1275 |
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1276 lo = (PyLongObject*) (*nb->nb_int) (op); |
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1277 if (lo == NULL) |
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1278 return (unsigned PY_LONG_LONG)-1; |
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1279 if (PyLong_Check(lo)) { |
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1280 val = _PyLong_AsUnsignedLongLongMask((PyObject *)lo); |
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1281 Py_DECREF(lo); |
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1282 if (PyErr_Occurred()) |
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1283 return (unsigned PY_LONG_LONG)-1; |
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1284 return val; |
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1285 } |
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1286 else |
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1287 { |
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1288 Py_DECREF(lo); |
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1289 PyErr_SetString(PyExc_TypeError, |
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1290 "nb_int should return int object"); |
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1291 return (unsigned PY_LONG_LONG)-1; |
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1292 } |
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1293 } |
| 18093 | 1294 #undef IS_LITTLE_ENDIAN |
| 1295 | |
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1296 /* Get a C long long int from a long int object or any object that has an |
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1297 __int__ method. |
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1298 |
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1299 On overflow, return -1 and set *overflow to 1 or -1 depending on the sign of |
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1300 the result. Otherwise *overflow is 0. |
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1301 |
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1302 For other errors (e.g., TypeError), return -1 and set an error condition. |
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1303 In this case *overflow will be 0. |
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1304 */ |
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1305 |
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1306 PY_LONG_LONG |
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1307 PyLong_AsLongLongAndOverflow(PyObject *vv, int *overflow) |
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1308 { |
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1309 /* This version by Tim Peters */ |
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1310 register PyLongObject *v; |
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1311 unsigned PY_LONG_LONG x, prev; |
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1312 PY_LONG_LONG res; |
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1313 Py_ssize_t i; |
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1314 int sign; |
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1315 int do_decref = 0; /* if nb_int was called */ |
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1316 |
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1317 *overflow = 0; |
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1318 if (vv == NULL) { |
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1319 PyErr_BadInternalCall(); |
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1320 return -1; |
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1321 } |
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1322 |
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1323 if (!PyLong_Check(vv)) { |
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1324 PyNumberMethods *nb; |
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1325 nb = vv->ob_type->tp_as_number; |
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1326 if (nb == NULL || nb->nb_int == NULL) { |
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1327 PyErr_SetString(PyExc_TypeError, |
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1328 "an integer is required"); |
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1329 return -1; |
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1330 } |
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1331 vv = (*nb->nb_int) (vv); |
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1333 return -1; |
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1334 do_decref = 1; |
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1335 if (!PyLong_Check(vv)) { |
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1336 Py_DECREF(vv); |
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1337 PyErr_SetString(PyExc_TypeError, |
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1338 "nb_int should return int object"); |
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1339 return -1; |
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1340 } |
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1341 } |
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1342 |
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1343 res = -1; |
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1344 v = (PyLongObject *)vv; |
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1345 i = Py_SIZE(v); |
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1346 |
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1347 switch (i) { |
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1348 case -1: |
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1349 res = -(sdigit)v->ob_digit[0]; |
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1350 break; |
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1351 case 0: |
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1352 res = 0; |
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1353 break; |
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1354 case 1: |
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1355 res = v->ob_digit[0]; |
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1356 break; |
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1357 default: |
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1358 sign = 1; |
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1359 x = 0; |
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1360 if (i < 0) { |
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1361 sign = -1; |
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1362 i = -(i); |
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1363 } |
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1364 while (--i >= 0) { |
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1365 prev = x; |
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1366 x = (x << PyLong_SHIFT) + v->ob_digit[i]; |
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1367 if ((x >> PyLong_SHIFT) != prev) { |
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1368 *overflow = sign; |
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1369 goto exit; |
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1370 } |
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1371 } |
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1372 /* Haven't lost any bits, but casting to long requires extra |
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1373 * care (see comment above). |
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1374 */ |
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1375 if (x <= (unsigned PY_LONG_LONG)PY_LLONG_MAX) { |
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1376 res = (PY_LONG_LONG)x * sign; |
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1377 } |
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1378 else if (sign < 0 && x == PY_ABS_LLONG_MIN) { |
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1379 res = PY_LLONG_MIN; |
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1380 } |
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1381 else { |
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1382 *overflow = sign; |
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1383 /* res is already set to -1 */ |
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1384 } |
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1385 } |
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1386 exit: |
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1387 if (do_decref) { |
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1388 Py_DECREF(vv); |
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1389 } |
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1390 return res; |
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1391 } |
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1392 |
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1393 #endif /* HAVE_LONG_LONG */ |
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1394 |
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1395 #define CHECK_BINOP(v,w) \ |
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1396 do { \ |
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1397 if (!PyLong_Check(v) || !PyLong_Check(w)) \ |
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1398 Py_RETURN_NOTIMPLEMENTED; \ |
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1399 } while(0) |
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1400 |
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1401 /* bits_in_digit(d) returns the unique integer k such that 2**(k-1) <= d < |
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1402 2**k if d is nonzero, else 0. */ |
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1403 |
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1404 static const unsigned char BitLengthTable[32] = { |
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1405 0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, |
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1406 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 |
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1407 }; |
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1408 |
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1409 static int |
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1410 bits_in_digit(digit d) |
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1411 { |
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1412 int d_bits = 0; |
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1413 while (d >= 32) { |
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1414 d_bits += 6; |
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1415 d >>= 6; |
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1416 } |
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1417 d_bits += (int)BitLengthTable[d]; |
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1418 return d_bits; |
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1419 } |
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1420 |
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1421 /* x[0:m] and y[0:n] are digit vectors, LSD first, m >= n required. x[0:n] |
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1422 * is modified in place, by adding y to it. Carries are propagated as far as |
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1423 * x[m-1], and the remaining carry (0 or 1) is returned. |
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1424 */ |
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1425 static digit |
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36501
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Martin v. Löwis <martin@v.loewis.de>
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1426 v_iadd(digit *x, Py_ssize_t m, digit *y, Py_ssize_t n) |
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1427 { |
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1428 Py_ssize_t i; |
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1429 digit carry = 0; |
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1430 |
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1431 assert(m >= n); |
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1432 for (i = 0; i < n; ++i) { |
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1433 carry += x[i] + y[i]; |
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1434 x[i] = carry & PyLong_MASK; |
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1435 carry >>= PyLong_SHIFT; |
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1436 assert((carry & 1) == carry); |
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1437 } |
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1438 for (; carry && i < m; ++i) { |
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1439 carry += x[i]; |
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1440 x[i] = carry & PyLong_MASK; |
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1441 carry >>= PyLong_SHIFT; |
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1442 assert((carry & 1) == carry); |
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1443 } |
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1444 return carry; |
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1445 } |
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1447 /* x[0:m] and y[0:n] are digit vectors, LSD first, m >= n required. x[0:n] |
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1448 * is modified in place, by subtracting y from it. Borrows are propagated as |
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1449 * far as x[m-1], and the remaining borrow (0 or 1) is returned. |
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1450 */ |
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1451 static digit |
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1452 v_isub(digit *x, Py_ssize_t m, digit *y, Py_ssize_t n) |
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1453 { |
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1454 Py_ssize_t i; |
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1455 digit borrow = 0; |
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1456 |
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1457 assert(m >= n); |
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1458 for (i = 0; i < n; ++i) { |
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1459 borrow = x[i] - y[i] - borrow; |
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1460 x[i] = borrow & PyLong_MASK; |
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1461 borrow >>= PyLong_SHIFT; |
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1462 borrow &= 1; /* keep only 1 sign bit */ |
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1463 } |
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1464 for (; borrow && i < m; ++i) { |
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1465 borrow = x[i] - borrow; |
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1466 x[i] = borrow & PyLong_MASK; |
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1467 borrow >>= PyLong_SHIFT; |
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1468 borrow &= 1; |
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1469 } |
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1470 return borrow; |
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1471 } |
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1473 /* Shift digit vector a[0:m] d bits left, with 0 <= d < PyLong_SHIFT. Put |
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1474 * result in z[0:m], and return the d bits shifted out of the top. |
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1475 */ |
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1476 static digit |
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1477 v_lshift(digit *z, digit *a, Py_ssize_t m, int d) |
| 230 | 1478 { |
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1479 Py_ssize_t i; |
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1480 digit carry = 0; |
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1481 |
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1482 assert(0 <= d && d < PyLong_SHIFT); |
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1483 for (i=0; i < m; i++) { |
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1484 twodigits acc = (twodigits)a[i] << d | carry; |
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1485 z[i] = (digit)acc & PyLong_MASK; |
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1486 carry = (digit)(acc >> PyLong_SHIFT); |
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1487 } |
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1488 return carry; |
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1489 } |
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1490 |
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1491 /* Shift digit vector a[0:m] d bits right, with 0 <= d < PyLong_SHIFT. Put |
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1492 * result in z[0:m], and return the d bits shifted out of the bottom. |
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1493 */ |
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1494 static digit |
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1495 v_rshift(digit *z, digit *a, Py_ssize_t m, int d) |
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1496 { |
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1497 Py_ssize_t i; |
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1498 digit carry = 0; |
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1499 digit mask = ((digit)1 << d) - 1U; |
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1500 |
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1501 assert(0 <= d && d < PyLong_SHIFT); |
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1502 for (i=m; i-- > 0;) { |
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1503 twodigits acc = (twodigits)carry << PyLong_SHIFT | a[i]; |
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1504 carry = (digit)acc & mask; |
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1505 z[i] = (digit)(acc >> d); |
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1506 } |
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1507 return carry; |
| 230 | 1508 } |
| 1509 | |
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1510 /* Divide long pin, w/ size digits, by non-zero digit n, storing quotient |
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1511 in pout, and returning the remainder. pin and pout point at the LSD. |
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1512 It's OK for pin == pout on entry, which saves oodles of mallocs/frees in |
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1513 _PyLong_Format, but that should be done with great care since longs are |
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1514 immutable. */ |
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1515 |
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1516 static digit |
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1517 inplace_divrem1(digit *pout, digit *pin, Py_ssize_t size, digit n) |
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1518 { |
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1519 twodigits rem = 0; |
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1521 assert(n > 0 && n <= PyLong_MASK); |
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1522 pin += size; |
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1523 pout += size; |
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1524 while (--size >= 0) { |
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1525 digit hi; |
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1526 rem = (rem << PyLong_SHIFT) | *--pin; |
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1527 *--pout = hi = (digit)(rem / n); |
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1528 rem -= (twodigits)hi * n; |
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1529 } |
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1530 return (digit)rem; |
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| 230 | 1533 /* Divide a long integer by a digit, returning both the quotient |
| 1534 (as function result) and the remainder (through *prem). | |
| 1535 The sign of a is ignored; n should not be zero. */ | |
| 1536 | |
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1537 static PyLongObject * |
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1538 divrem1(PyLongObject *a, digit n, digit *prem) |
| 230 | 1539 { |
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1540 const Py_ssize_t size = ABS(Py_SIZE(a)); |
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1541 PyLongObject *z; |
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1543 assert(n > 0 && n <= PyLong_MASK); |
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1544 z = _PyLong_New(size); |
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1545 if (z == NULL) |
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1546 return NULL; |
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1547 *prem = inplace_divrem1(z->ob_digit, a->ob_digit, size, n); |
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1548 return long_normalize(z); |
| 230 | 1549 } |
| 1550 | |
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1551 /* Convert a long integer to a base 10 string. Returns a new non-shared |
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1552 string. (Return value is non-shared so that callers can modify the |
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1553 returned value if necessary.) */ |
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1555 static PyObject * |
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1556 long_to_decimal_string(PyObject *aa) |
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1557 { |
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1558 PyLongObject *scratch, *a; |
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1559 PyObject *str; |
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1560 Py_ssize_t size, strlen, size_a, i, j; |
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1561 digit *pout, *pin, rem, tenpow; |
| 72475 | 1562 unsigned char *p; |
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1563 int negative; |
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1564 |
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1565 a = (PyLongObject *)aa; |
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1566 if (a == NULL || !PyLong_Check(a)) { |
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1567 PyErr_BadInternalCall(); |
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1568 return NULL; |
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1569 } |
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1570 size_a = ABS(Py_SIZE(a)); |
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1571 negative = Py_SIZE(a) < 0; |
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1572 |
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1573 /* quick and dirty upper bound for the number of digits |
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1574 required to express a in base _PyLong_DECIMAL_BASE: |
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1575 |
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1576 #digits = 1 + floor(log2(a) / log2(_PyLong_DECIMAL_BASE)) |
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1577 |
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1578 But log2(a) < size_a * PyLong_SHIFT, and |
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1579 log2(_PyLong_DECIMAL_BASE) = log2(10) * _PyLong_DECIMAL_SHIFT |
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1580 > 3 * _PyLong_DECIMAL_SHIFT |
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1581 */ |
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1582 if (size_a > PY_SSIZE_T_MAX / PyLong_SHIFT) { |
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1583 PyErr_SetString(PyExc_OverflowError, |
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1584 "long is too large to format"); |
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1585 return NULL; |
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1586 } |
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1587 /* the expression size_a * PyLong_SHIFT is now safe from overflow */ |
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1588 size = 1 + size_a * PyLong_SHIFT / (3 * _PyLong_DECIMAL_SHIFT); |
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1589 scratch = _PyLong_New(size); |
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1590 if (scratch == NULL) |
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1591 return NULL; |
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1592 |
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1593 /* convert array of base _PyLong_BASE digits in pin to an array of |
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1594 base _PyLong_DECIMAL_BASE digits in pout, following Knuth (TAOCP, |
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1595 Volume 2 (3rd edn), section 4.4, Method 1b). */ |
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1596 pin = a->ob_digit; |
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1597 pout = scratch->ob_digit; |
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1598 size = 0; |
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1599 for (i = size_a; --i >= 0; ) { |
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1600 digit hi = pin[i]; |
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1601 for (j = 0; j < size; j++) { |
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1602 twodigits z = (twodigits)pout[j] << PyLong_SHIFT | hi; |
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1603 hi = (digit)(z / _PyLong_DECIMAL_BASE); |
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1604 pout[j] = (digit)(z - (twodigits)hi * |
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1605 _PyLong_DECIMAL_BASE); |
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1606 } |
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1607 while (hi) { |
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1608 pout[size++] = hi % _PyLong_DECIMAL_BASE; |
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1609 hi /= _PyLong_DECIMAL_BASE; |
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1610 } |
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1611 /* check for keyboard interrupt */ |
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1612 SIGCHECK({ |
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1613 Py_DECREF(scratch); |
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1614 return NULL; |
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1615 }); |
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1616 } |
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1617 /* pout should have at least one digit, so that the case when a = 0 |
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1618 works correctly */ |
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1619 if (size == 0) |
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1620 pout[size++] = 0; |
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1621 |
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1622 /* calculate exact length of output string, and allocate */ |
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1623 strlen = negative + 1 + (size - 1) * _PyLong_DECIMAL_SHIFT; |
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1624 tenpow = 10; |
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1625 rem = pout[size-1]; |
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1626 while (rem >= tenpow) { |
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1627 tenpow *= 10; |
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1628 strlen++; |
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1629 } |
| 72475 | 1630 str = PyUnicode_New(strlen, '9'); |
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1631 if (str == NULL) { |
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1632 Py_DECREF(scratch); |
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1633 return NULL; |
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1634 } |
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1635 |
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1636 /* fill the string right-to-left */ |
| 72475 | 1637 assert(PyUnicode_KIND(str) == PyUnicode_1BYTE_KIND); |
| 1638 p = PyUnicode_1BYTE_DATA(str) + strlen; | |
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1639 *p = '\0'; |
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1640 /* pout[0] through pout[size-2] contribute exactly |
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1641 _PyLong_DECIMAL_SHIFT digits each */ |
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1642 for (i=0; i < size - 1; i++) { |
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1643 rem = pout[i]; |
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1644 for (j = 0; j < _PyLong_DECIMAL_SHIFT; j++) { |
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1645 *--p = '0' + rem % 10; |
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1646 rem /= 10; |
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1647 } |
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1648 } |
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1649 /* pout[size-1]: always produce at least one decimal digit */ |
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1650 rem = pout[i]; |
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1651 do { |
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1652 *--p = '0' + rem % 10; |
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1653 rem /= 10; |
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1654 } while (rem != 0); |
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1655 |
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1656 /* and sign */ |
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1657 if (negative) |
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1658 *--p = '-'; |
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1659 |
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1660 /* check we've counted correctly */ |
| 72475 | 1661 assert(p == PyUnicode_1BYTE_DATA(str)); |
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1662 Py_DECREF(scratch); |
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1663 return (PyObject *)str; |
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1664 } |
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1666 /* Convert a long int object to a string, using a given conversion base, |
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1667 which should be one of 2, 8, 10 or 16. Return a string object. |
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1668 If base is 2, 8 or 16, add the proper prefix '0b', '0o' or '0x'. */ |
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1670 PyObject * |
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1671 _PyLong_Format(PyObject *aa, int base) |
| 230 | 1672 { |
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1673 register PyLongObject *a = (PyLongObject *)aa; |
| 72475 | 1674 PyObject *v; |
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1675 Py_ssize_t i, sz; |
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1676 Py_ssize_t size_a; |
| 72475 | 1677 char *p; |
| 1678 char sign = '\0'; | |
| 1679 char *buffer; | |
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1680 int bits; |
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1682 assert(base == 2 || base == 8 || base == 10 || base == 16); |
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1683 if (base == 10) |
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1684 return long_to_decimal_string((PyObject *)a); |
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1686 if (a == NULL || !PyLong_Check(a)) { |
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1687 PyErr_BadInternalCall(); |
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1688 return NULL; |
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1689 } |
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1690 size_a = ABS(Py_SIZE(a)); |
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1692 /* Compute a rough upper bound for the length of the string */ |
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1693 switch (base) { |
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1694 case 16: |
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1695 bits = 4; |
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1696 break; |
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1697 case 8: |
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1698 bits = 3; |
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1700 case 2: |
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1701 bits = 1; |
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1702 break; |
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1703 default: |
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1704 assert(0); /* shouldn't ever get here */ |
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1705 bits = 0; /* to silence gcc warning */ |
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1706 } |
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1707 /* compute length of output string: allow 2 characters for prefix and |
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1708 1 for possible '-' sign. */ |
| 72475 | 1709 if (size_a > (PY_SSIZE_T_MAX - 3) / PyLong_SHIFT / sizeof(Py_UCS4)) { |
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1710 PyErr_SetString(PyExc_OverflowError, |
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1711 "int is too large to format"); |
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1712 return NULL; |
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1713 } |
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1714 /* now size_a * PyLong_SHIFT + 3 <= PY_SSIZE_T_MAX, so the RHS below |
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1715 is safe from overflow */ |
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1716 sz = 3 + (size_a * PyLong_SHIFT + (bits - 1)) / bits; |
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1717 assert(sz >= 0); |
| 72475 | 1718 buffer = PyMem_Malloc(sz); |
| 1719 if (buffer == NULL) { | |
| 1720 PyErr_NoMemory(); | |
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1721 return NULL; |
| 72475 | 1722 } |
| 1723 p = &buffer[sz]; | |
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1724 if (Py_SIZE(a) < 0) |
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1725 sign = '-'; |
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1726 |
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1727 if (Py_SIZE(a) == 0) { |
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1728 *--p = '0'; |
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1729 } |
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1730 else { |
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1731 /* JRH: special case for power-of-2 bases */ |
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1732 twodigits accum = 0; |
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1733 int accumbits = 0; /* # of bits in accum */ |
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1734 for (i = 0; i < size_a; ++i) { |
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1735 accum |= (twodigits)a->ob_digit[i] << accumbits; |
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1736 accumbits += PyLong_SHIFT; |
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1737 assert(accumbits >= bits); |
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1738 do { |
| 72475 | 1739 char cdigit; |
| 1740 cdigit = (char)(accum & (base - 1)); | |
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1741 cdigit += (cdigit < 10) ? '0' : 'a'-10; |
| 72475 | 1742 assert(p > buffer); |
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1743 *--p = cdigit; |
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1744 accumbits -= bits; |
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1745 accum >>= bits; |
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1746 } while (i < size_a-1 ? accumbits >= bits : accum > 0); |
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1747 } |
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1748 } |
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1750 if (base == 16) |
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1751 *--p = 'x'; |
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1752 else if (base == 8) |
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1753 *--p = 'o'; |
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1754 else /* (base == 2) */ |
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1755 *--p = 'b'; |
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1756 *--p = '0'; |
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1757 if (sign) |
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1758 *--p = sign; |
| 72475 | 1759 v = PyUnicode_DecodeASCII(p, &buffer[sz] - p, NULL); |
| 1760 PyMem_Free(buffer); | |
| 1761 return v; | |
| 230 | 1762 } |
| 1763 | |
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1764 /* Table of digit values for 8-bit string -> integer conversion. |
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1765 * '0' maps to 0, ..., '9' maps to 9. |
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1766 * 'a' and 'A' map to 10, ..., 'z' and 'Z' map to 35. |
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1767 * All other indices map to 37. |
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1768 * Note that when converting a base B string, a char c is a legitimate |
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1769 * base B digit iff _PyLong_DigitValue[Py_CHARPyLong_MASK(c)] < B. |
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1770 */ |
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1771 unsigned char _PyLong_DigitValue[256] = { |
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1786 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, |
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1787 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, |
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1788 }; |
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1789 |
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1790 /* *str points to the first digit in a string of base `base` digits. base |
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1791 * is a power of 2 (2, 4, 8, 16, or 32). *str is set to point to the first |
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1792 * non-digit (which may be *str!). A normalized long is returned. |
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1793 * The point to this routine is that it takes time linear in the number of |
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1794 * string characters. |
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1795 */ |
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1796 static PyLongObject * |
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1797 long_from_binary_base(char **str, int base) |
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1798 { |
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1799 char *p = *str; |
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1800 char *start = p; |
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1801 int bits_per_char; |
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1802 Py_ssize_t n; |
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1803 PyLongObject *z; |
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1804 twodigits accum; |
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1805 int bits_in_accum; |
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1806 digit *pdigit; |
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1807 |
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1808 assert(base >= 2 && base <= 32 && (base & (base - 1)) == 0); |
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1809 n = base; |
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1810 for (bits_per_char = -1; n; ++bits_per_char) |
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1811 n >>= 1; |
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1812 /* n <- total # of bits needed, while setting p to end-of-string */ |
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1813 while (_PyLong_DigitValue[Py_CHARMASK(*p)] < base) |
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1814 ++p; |
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1815 *str = p; |
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1816 /* n <- # of Python digits needed, = ceiling(n/PyLong_SHIFT). */ |
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1817 n = (p - start) * bits_per_char + PyLong_SHIFT - 1; |
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1818 if (n / bits_per_char < p - start) { |
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1819 PyErr_SetString(PyExc_ValueError, |
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1820 "int string too large to convert"); |
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1821 return NULL; |
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1822 } |
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1823 n = n / PyLong_SHIFT; |
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1824 z = _PyLong_New(n); |
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1825 if (z == NULL) |
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1826 return NULL; |
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1827 /* Read string from right, and fill in long from left; i.e., |
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1828 * from least to most significant in both. |
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1829 */ |
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1830 accum = 0; |
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1831 bits_in_accum = 0; |
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1832 pdigit = z->ob_digit; |
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1833 while (--p >= start) { |
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1834 int k = (int)_PyLong_DigitValue[Py_CHARMASK(*p)]; |
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1835 assert(k >= 0 && k < base); |
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1836 accum |= (twodigits)k << bits_in_accum; |
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1837 bits_in_accum += bits_per_char; |
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1838 if (bits_in_accum >= PyLong_SHIFT) { |
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1839 *pdigit++ = (digit)(accum & PyLong_MASK); |
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1840 assert(pdigit - z->ob_digit <= n); |
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1841 accum >>= PyLong_SHIFT; |
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1842 bits_in_accum -= PyLong_SHIFT; |
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1843 assert(bits_in_accum < PyLong_SHIFT); |
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1844 } |
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1845 } |
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1846 if (bits_in_accum) { |
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1847 assert(bits_in_accum <= PyLong_SHIFT); |
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1848 *pdigit++ = (digit)accum; |
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1849 assert(pdigit - z->ob_digit <= n); |
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1850 } |
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1851 while (pdigit - z->ob_digit < n) |
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1852 *pdigit++ = 0; |
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1853 return long_normalize(z); |
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1854 } |
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1855 |
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1856 PyObject * |
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1857 PyLong_FromString(char *str, char **pend, int base) |
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1837
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1858 { |
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1859 int sign = 1, error_if_nonzero = 0; |
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1860 char *start, *orig_str = str; |
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1861 PyLongObject *z = NULL; |
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1862 PyObject *strobj; |
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1863 Py_ssize_t slen; |
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1864 |
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1865 if ((base != 0 && base < 2) || base > 36) { |
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1866 PyErr_SetString(PyExc_ValueError, |
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1867 "int() arg 2 must be >= 2 and <= 36"); |
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1868 return NULL; |
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1869 } |
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1870 while (*str != '\0' && isspace(Py_CHARMASK(*str))) |
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1871 str++; |
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1872 if (*str == '+') |
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1873 ++str; |
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1874 else if (*str == '-') { |
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1875 ++str; |
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1876 sign = -1; |
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1877 } |
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1878 if (base == 0) { |
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1879 if (str[0] != '0') |
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1880 base = 10; |
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1881 else if (str[1] == 'x' || str[1] == 'X') |
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1882 base = 16; |
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1883 else if (str[1] == 'o' || str[1] == 'O') |
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1884 base = 8; |
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1885 else if (str[1] == 'b' || str[1] == 'B') |
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1886 base = 2; |
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1887 else { |
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1888 /* "old" (C-style) octal literal, now invalid. |
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1889 it might still be zero though */ |
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1890 error_if_nonzero = 1; |
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1891 base = 10; |
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1892 } |
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1893 } |
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1894 if (str[0] == '0' && |
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1895 ((base == 16 && (str[1] == 'x' || str[1] == 'X')) || |
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1896 (base == 8 && (str[1] == 'o' || str[1] == 'O')) || |
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1897 (base == 2 && (str[1] == 'b' || str[1] == 'B')))) |
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1898 str += 2; |
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1899 |
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1900 start = str; |
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1901 if ((base & (base - 1)) == 0) |
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1902 z = long_from_binary_base(&str, base); |
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1903 else { |
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1904 /*** |
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1905 Binary bases can be converted in time linear in the number of digits, because |
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1906 Python's representation base is binary. Other bases (including decimal!) use |
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1907 the simple quadratic-time algorithm below, complicated by some speed tricks. |
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1908 |
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1909 First some math: the largest integer that can be expressed in N base-B digits |
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1910 is B**N-1. Consequently, if we have an N-digit input in base B, the worst- |
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1911 case number of Python digits needed to hold it is the smallest integer n s.t. |
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1912 |
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1913 BASE**n-1 >= B**N-1 [or, adding 1 to both sides] |
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1914 BASE**n >= B**N [taking logs to base BASE] |
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1915 n >= log(B**N)/log(BASE) = N * log(B)/log(BASE) |
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1916 |
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1917 The static array log_base_BASE[base] == log(base)/log(BASE) so we can compute |
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1918 this quickly. A Python long with that much space is reserved near the start, |
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1919 and the result is computed into it. |
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1920 |
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1921 The input string is actually treated as being in base base**i (i.e., i digits |
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1922 are processed at a time), where two more static arrays hold: |
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1923 |
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1924 convwidth_base[base] = the largest integer i such that base**i <= BASE |
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1925 convmultmax_base[base] = base ** convwidth_base[base] |
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1926 |
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1927 The first of these is the largest i such that i consecutive input digits |
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1928 must fit in a single Python digit. The second is effectively the input |
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1929 base we're really using. |
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1930 |
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1931 Viewing the input as a sequence <c0, c1, ..., c_n-1> of digits in base |
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1932 convmultmax_base[base], the result is "simply" |
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1933 |
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1934 (((c0*B + c1)*B + c2)*B + c3)*B + ... ))) + c_n-1 |
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1935 |
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1936 where B = convmultmax_base[base]. |
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1937 |
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1938 Error analysis: as above, the number of Python digits `n` needed is worst- |
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1939 case |
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1940 |
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1941 n >= N * log(B)/log(BASE) |
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1942 |
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1943 where `N` is the number of input digits in base `B`. This is computed via |
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1944 |
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1945 size_z = (Py_ssize_t)((scan - str) * log_base_BASE[base]) + 1; |
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1946 |
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1947 below. Two numeric concerns are how much space this can waste, and whether |
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1948 the computed result can be too small. To be concrete, assume BASE = 2**15, |
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1949 which is the default (and it's unlikely anyone changes that). |
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1950 |
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1951 Waste isn't a problem: provided the first input digit isn't 0, the difference |
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1952 between the worst-case input with N digits and the smallest input with N |
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1953 digits is about a factor of B, but B is small compared to BASE so at most |
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1954 one allocated Python digit can remain unused on that count. If |
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1955 N*log(B)/log(BASE) is mathematically an exact integer, then truncating that |
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1956 and adding 1 returns a result 1 larger than necessary. However, that can't |
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1957 happen: whenever B is a power of 2, long_from_binary_base() is called |
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1958 instead, and it's impossible for B**i to be an integer power of 2**15 when |
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1959 B is not a power of 2 (i.e., it's impossible for N*log(B)/log(BASE) to be |
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1960 an exact integer when B is not a power of 2, since B**i has a prime factor |
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1961 other than 2 in that case, but (2**15)**j's only prime factor is 2). |
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1962 |
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1963 The computed result can be too small if the true value of N*log(B)/log(BASE) |
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1964 is a little bit larger than an exact integer, but due to roundoff errors (in |
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1965 computing log(B), log(BASE), their quotient, and/or multiplying that by N) |
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1966 yields a numeric result a little less than that integer. Unfortunately, "how |
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1967 close can a transcendental function get to an integer over some range?" |
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1968 questions are generally theoretically intractable. Computer analysis via |
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1969 continued fractions is practical: expand log(B)/log(BASE) via continued |
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1970 fractions, giving a sequence i/j of "the best" rational approximations. Then |
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1971 j*log(B)/log(BASE) is approximately equal to (the integer) i. This shows that |
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1972 we can get very close to being in trouble, but very rarely. For example, |
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1973 76573 is a denominator in one of the continued-fraction approximations to |
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1974 log(10)/log(2**15), and indeed: |
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1975 |
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1976 >>> log(10)/log(2**15)*76573 |
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1977 16958.000000654003 |
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1978 |
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1979 is very close to an integer. If we were working with IEEE single-precision, |
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1980 rounding errors could kill us. Finding worst cases in IEEE double-precision |
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1981 requires better-than-double-precision log() functions, and Tim didn't bother. |
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1982 Instead the code checks to see whether the allocated space is enough as each |
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1983 new Python digit is added, and copies the whole thing to a larger long if not. |
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1984 This should happen extremely rarely, and in fact I don't have a test case |
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1985 that triggers it(!). Instead the code was tested by artificially allocating |
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1986 just 1 digit at the start, so that the copying code was exercised for every |
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1987 digit beyond the first. |
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1988 ***/ |
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1989 register twodigits c; /* current input character */ |
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1990 Py_ssize_t size_z; |
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1991 int i; |
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1992 int convwidth; |
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1993 twodigits convmultmax, convmult; |
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1994 digit *pz, *pzstop; |
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1995 char* scan; |
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1996 |
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1997 static double log_base_BASE[37] = {0.0e0,}; |
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1998 static int convwidth_base[37] = {0,}; |
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1999 static twodigits convmultmax_base[37] = {0,}; |
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2000 |
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2001 if (log_base_BASE[base] == 0.0) { |
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2002 twodigits convmax = base; |
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2003 int i = 1; |
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2004 |
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2005 log_base_BASE[base] = (log((double)base) / |
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2006 log((double)PyLong_BASE)); |
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2007 for (;;) { |
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2008 twodigits next = convmax * base; |
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2009 if (next > PyLong_BASE) |
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2010 break; |
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2011 convmax = next; |
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2012 ++i; |
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2013 } |
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2014 convmultmax_base[base] = convmax; |
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2015 assert(i > 0); |
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2016 convwidth_base[base] = i; |
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2017 } |
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2018 |
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2019 /* Find length of the string of numeric characters. */ |
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2020 scan = str; |
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2021 while (_PyLong_DigitValue[Py_CHARMASK(*scan)] < base) |
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2022 ++scan; |
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2023 |
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2024 /* Create a long object that can contain the largest possible |
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2025 * integer with this base and length. Note that there's no |
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2026 * need to initialize z->ob_digit -- no slot is read up before |
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2027 * being stored into. |
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2028 */ |
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2029 size_z = (Py_ssize_t)((scan - str) * log_base_BASE[base]) + 1; |
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2030 /* Uncomment next line to test exceedingly rare copy code */ |
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2031 /* size_z = 1; */ |
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2032 assert(size_z > 0); |
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2033 z = _PyLong_New(size_z); |
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2034 if (z == NULL) |
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2035 return NULL; |
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2036 Py_SIZE(z) = 0; |
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2037 |
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2038 /* `convwidth` consecutive input digits are treated as a single |
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2039 * digit in base `convmultmax`. |
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2040 */ |
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2041 convwidth = convwidth_base[base]; |
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2042 convmultmax = convmultmax_base[base]; |
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2043 |
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2044 /* Work ;-) */ |
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2045 while (str < scan) { |
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2046 /* grab up to convwidth digits from the input string */ |
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2047 c = (digit)_PyLong_DigitValue[Py_CHARMASK(*str++)]; |
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2048 for (i = 1; i < convwidth && str != scan; ++i, ++str) { |
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2049 c = (twodigits)(c * base + |
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2050 (int)_PyLong_DigitValue[Py_CHARMASK(*str)]); |
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2051 assert(c < PyLong_BASE); |
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2052 } |
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2053 |
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2054 convmult = convmultmax; |
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2055 /* Calculate the shift only if we couldn't get |
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2056 * convwidth digits. |
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2057 */ |
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2058 if (i != convwidth) { |
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2059 convmult = base; |
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2060 for ( ; i > 1; --i) |
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2061 convmult *= base; |
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2062 } |
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2063 |
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2064 /* Multiply z by convmult, and add c. */ |
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2065 pz = z->ob_digit; |
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2066 pzstop = pz + Py_SIZE(z); |
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2067 for (; pz < pzstop; ++pz) { |
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2068 c += (twodigits)*pz * convmult; |
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2069 *pz = (digit)(c & PyLong_MASK); |
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2070 c >>= PyLong_SHIFT; |
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2071 } |
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2072 /* carry off the current end? */ |
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2073 if (c) { |
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2074 assert(c < PyLong_BASE); |
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2075 if (Py_SIZE(z) < size_z) { |
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2076 *pz = (digit)c; |
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2077 ++Py_SIZE(z); |
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2078 } |
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2079 else { |
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2080 PyLongObject *tmp; |
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2081 /* Extremely rare. Get more space. */ |
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2082 assert(Py_SIZE(z) == size_z); |
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2083 tmp = _PyLong_New(size_z + 1); |
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2084 if (tmp == NULL) { |
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2085 Py_DECREF(z); |
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2086 return NULL; |
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2087 } |
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2088 memcpy(tmp->ob_digit, |
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2089 z->ob_digit, |
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2090 sizeof(digit) * size_z); |
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2091 Py_DECREF(z); |
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2092 z = tmp; |
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2093 z->ob_digit[size_z] = (digit)c; |
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2094 ++size_z; |
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2095 } |
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2096 } |
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2097 } |
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2098 } |
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2099 if (z == NULL) |
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2100 return NULL; |
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2101 if (error_if_nonzero) { |
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|
2102 /* reset the base to 0, else the exception message |
|
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|
2103 doesn't make too much sense */ |
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2104 base = 0; |
|
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2105 if (Py_SIZE(z) != 0) |
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2106 goto onError; |
|
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2107 /* there might still be other problems, therefore base |
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|
2108 remains zero here for the same reason */ |
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2109 } |
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2110 if (str == start) |
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2111 goto onError; |
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2112 if (sign < 0) |
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2113 Py_SIZE(z) = -(Py_SIZE(z)); |
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2114 while (*str && isspace(Py_CHARMASK(*str))) |
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2115 str++; |
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2116 if (*str != '\0') |
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2117 goto onError; |
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2118 if (pend) |
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2119 *pend = str; |
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|
2120 long_normalize(z); |
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2121 return (PyObject *) maybe_small_long(z); |
|
12248
70154e2e9c89
Marc-Andre's third try at this bulk patch seems to work (except that
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|
2122 |
|
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2123 onError: |
|
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2124 Py_XDECREF(z); |
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2125 slen = strlen(orig_str) < 200 ? strlen(orig_str) : 200; |
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2126 strobj = PyUnicode_FromStringAndSize(orig_str, slen); |
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2127 if (strobj == NULL) |
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2128 return NULL; |
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2129 PyErr_Format(PyExc_ValueError, |
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2130 "invalid literal for int() with base %d: %R", |
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2131 base, strobj); |
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2132 Py_DECREF(strobj); |
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2133 return NULL; |
|
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2134 } |
|
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2135 |
|
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Marc-Andre's third try at this bulk patch seems to work (except that
Guido van Rossum <guido@python.org>
parents:
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2136 PyObject * |
|
36501
7fdc639bc5b4
Merge ssize_t branch.
Martin v. Löwis <martin@v.loewis.de>
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2137 PyLong_FromUnicode(Py_UNICODE *u, Py_ssize_t length, int base) |
|
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2138 { |
| 72475 | 2139 PyObject *v, *unicode = PyUnicode_FromUnicode(u, length); |
| 2140 if (unicode == NULL) | |
| 2141 return NULL; | |
| 2142 v = PyLong_FromUnicodeObject(unicode, base); | |
| 2143 Py_DECREF(unicode); | |
| 2144 return v; | |
| 2145 } | |
| 2146 | |
| 2147 PyObject * | |
| 2148 PyLong_FromUnicodeObject(PyObject *u, int base) | |
| 2149 { | |
|
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2150 PyObject *result; |
|
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Alexander Belopolsky <alexander.belopolsky@gmail.com>
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|
2151 PyObject *asciidig; |
|
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Alexander Belopolsky <alexander.belopolsky@gmail.com>
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|
2152 char *buffer, *end; |
| 72475 | 2153 Py_ssize_t buflen; |
| 2154 | |
| 2155 asciidig = _PyUnicode_TransformDecimalAndSpaceToASCII(u); | |
|
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Alexander Belopolsky <alexander.belopolsky@gmail.com>
parents:
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|
2156 if (asciidig == NULL) |
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2157 return NULL; |
| 72475 | 2158 buffer = PyUnicode_AsUTF8AndSize(asciidig, &buflen); |
|
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Alexander Belopolsky <alexander.belopolsky@gmail.com>
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|
2159 if (buffer == NULL) { |
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Alexander Belopolsky <alexander.belopolsky@gmail.com>
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2160 Py_DECREF(asciidig); |
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2161 return NULL; |
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2162 } |
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|
2163 result = PyLong_FromString(buffer, &end, base); |
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Alexander Belopolsky <alexander.belopolsky@gmail.com>
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|
2164 if (result != NULL && end != buffer + buflen) { |
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Alexander Belopolsky <alexander.belopolsky@gmail.com>
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|
2165 PyErr_SetString(PyExc_ValueError, |
|
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Alexander Belopolsky <alexander.belopolsky@gmail.com>
parents:
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|
2166 "null byte in argument for int()"); |
|
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Alexander Belopolsky <alexander.belopolsky@gmail.com>
parents:
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|
2167 Py_DECREF(result); |
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Alexander Belopolsky <alexander.belopolsky@gmail.com>
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|
2168 result = NULL; |
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Alexander Belopolsky <alexander.belopolsky@gmail.com>
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|
2169 } |
|
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Alexander Belopolsky <alexander.belopolsky@gmail.com>
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|
2170 Py_DECREF(asciidig); |
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2171 return result; |
| 230 | 2172 } |
| 2173 | |
|
13406
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Tim Peters <tim.peters@gmail.com>
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|
2174 /* forward */ |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
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|
2175 static PyLongObject *x_divrem |
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2176 (PyLongObject *, PyLongObject *, PyLongObject **); |
|
42417
d3a5c796c8ba
Changes to long and float by Jeffrey Jasskin to conform to PEP 3141.
Guido van Rossum <guido@python.org>
parents:
42334
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|
2177 static PyObject *long_long(PyObject *v); |
| 230 | 2178 |
| 2179 /* Long division with remainder, top-level routine */ | |
| 2180 | |
| 613 | 2181 static int |
|
13406
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2182 long_divrem(PyLongObject *a, PyLongObject *b, |
|
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2183 PyLongObject **pdiv, PyLongObject **prem) |
| 230 | 2184 { |
|
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2185 Py_ssize_t size_a = ABS(Py_SIZE(a)), size_b = ABS(Py_SIZE(b)); |
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2186 PyLongObject *z; |
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2187 |
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2188 if (size_b == 0) { |
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2189 PyErr_SetString(PyExc_ZeroDivisionError, |
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2190 "integer division or modulo by zero"); |
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2191 return -1; |
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2192 } |
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2193 if (size_a < size_b || |
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2194 (size_a == size_b && |
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2195 a->ob_digit[size_a-1] < b->ob_digit[size_b-1])) { |
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2196 /* |a| < |b|. */ |
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2197 *pdiv = (PyLongObject*)PyLong_FromLong(0); |
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2198 if (*pdiv == NULL) |
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2199 return -1; |
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|
2200 Py_INCREF(a); |
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2201 *prem = (PyLongObject *) a; |
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2202 return 0; |
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2203 } |
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2204 if (size_b == 1) { |
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2205 digit rem = 0; |
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2206 z = divrem1(a, b->ob_digit[0], &rem); |
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2207 if (z == NULL) |
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2208 return -1; |
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2209 *prem = (PyLongObject *) PyLong_FromLong((long)rem); |
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2210 if (*prem == NULL) { |
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2211 Py_DECREF(z); |
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2212 return -1; |
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2213 } |
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2214 } |
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2215 else { |
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2216 z = x_divrem(a, b, prem); |
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2217 if (z == NULL) |
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2218 return -1; |
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2219 } |
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2220 /* Set the signs. |
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2221 The quotient z has the sign of a*b; |
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2222 the remainder r has the sign of a, |
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2223 so a = b*z + r. */ |
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2224 if ((Py_SIZE(a) < 0) != (Py_SIZE(b) < 0)) |
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2225 NEGATE(z); |
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2226 if (Py_SIZE(a) < 0 && Py_SIZE(*prem) != 0) |
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2227 NEGATE(*prem); |
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2228 *pdiv = maybe_small_long(z); |
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2229 return 0; |
| 230 | 2230 } |
| 2231 | |
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2232 /* Unsigned long division with remainder -- the algorithm. The arguments v1 |
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2233 and w1 should satisfy 2 <= ABS(Py_SIZE(w1)) <= ABS(Py_SIZE(v1)). */ |
| 230 | 2234 |
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2235 static PyLongObject * |
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2236 x_divrem(PyLongObject *v1, PyLongObject *w1, PyLongObject **prem) |
| 230 | 2237 { |
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2238 PyLongObject *v, *w, *a; |
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2239 Py_ssize_t i, k, size_v, size_w; |
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2240 int d; |
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2241 digit wm1, wm2, carry, q, r, vtop, *v0, *vk, *w0, *ak; |
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2242 twodigits vv; |
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2243 sdigit zhi; |
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2244 stwodigits z; |
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2245 |
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2246 /* We follow Knuth [The Art of Computer Programming, Vol. 2 (3rd |
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2247 edn.), section 4.3.1, Algorithm D], except that we don't explicitly |
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2248 handle the special case when the initial estimate q for a quotient |
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2249 digit is >= PyLong_BASE: the max value for q is PyLong_BASE+1, and |
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2250 that won't overflow a digit. */ |
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2251 |
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2252 /* allocate space; w will also be used to hold the final remainder */ |
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2253 size_v = ABS(Py_SIZE(v1)); |
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2254 size_w = ABS(Py_SIZE(w1)); |
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2255 assert(size_v >= size_w && size_w >= 2); /* Assert checks by div() */ |
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2256 v = _PyLong_New(size_v+1); |
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2257 if (v == NULL) { |
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2258 *prem = NULL; |
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2259 return NULL; |
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2260 } |
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2261 w = _PyLong_New(size_w); |
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2262 if (w == NULL) { |
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2263 Py_DECREF(v); |
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2264 *prem = NULL; |
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2265 return NULL; |
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2266 } |
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2267 |
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2268 /* normalize: shift w1 left so that its top digit is >= PyLong_BASE/2. |
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2269 shift v1 left by the same amount. Results go into w and v. */ |
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2270 d = PyLong_SHIFT - bits_in_digit(w1->ob_digit[size_w-1]); |
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2271 carry = v_lshift(w->ob_digit, w1->ob_digit, size_w, d); |
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2272 assert(carry == 0); |
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2273 carry = v_lshift(v->ob_digit, v1->ob_digit, size_v, d); |
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2274 if (carry != 0 || v->ob_digit[size_v-1] >= w->ob_digit[size_w-1]) { |
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2275 v->ob_digit[size_v] = carry; |
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2276 size_v++; |
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2277 } |
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2278 |
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2279 /* Now v->ob_digit[size_v-1] < w->ob_digit[size_w-1], so quotient has |
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2280 at most (and usually exactly) k = size_v - size_w digits. */ |
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2281 k = size_v - size_w; |
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2282 assert(k >= 0); |
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2283 a = _PyLong_New(k); |
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2284 if (a == NULL) { |
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2285 Py_DECREF(w); |
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2286 Py_DECREF(v); |
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2287 *prem = NULL; |
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2288 return NULL; |
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2289 } |
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2290 v0 = v->ob_digit; |
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2291 w0 = w->ob_digit; |
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2292 wm1 = w0[size_w-1]; |
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2293 wm2 = w0[size_w-2]; |
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2294 for (vk = v0+k, ak = a->ob_digit + k; vk-- > v0;) { |
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2295 /* inner loop: divide vk[0:size_w+1] by w0[0:size_w], giving |
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2296 single-digit quotient q, remainder in vk[0:size_w]. */ |
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2297 |
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2298 SIGCHECK({ |
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2299 Py_DECREF(a); |
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2300 Py_DECREF(w); |
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2301 Py_DECREF(v); |
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2302 *prem = NULL; |
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2303 return NULL; |
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2304 }); |
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2305 |
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2306 /* estimate quotient digit q; may overestimate by 1 (rare) */ |
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2307 vtop = vk[size_w]; |
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2308 assert(vtop <= wm1); |
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2309 vv = ((twodigits)vtop << PyLong_SHIFT) | vk[size_w-1]; |
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2310 q = (digit)(vv / wm1); |
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2311 r = (digit)(vv - (twodigits)wm1 * q); /* r = vv % wm1 */ |
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2312 while ((twodigits)wm2 * q > (((twodigits)r << PyLong_SHIFT) |
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2313 | vk[size_w-2])) { |
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2314 --q; |
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2315 r += wm1; |
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2316 if (r >= PyLong_BASE) |
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2317 break; |
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2318 } |
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2319 assert(q <= PyLong_BASE); |
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2320 |
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2321 /* subtract q*w0[0:size_w] from vk[0:size_w+1] */ |
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2322 zhi = 0; |
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2323 for (i = 0; i < size_w; ++i) { |
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2324 /* invariants: -PyLong_BASE <= -q <= zhi <= 0; |
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2325 -PyLong_BASE * q <= z < PyLong_BASE */ |
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2326 z = (sdigit)vk[i] + zhi - |
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2327 (stwodigits)q * (stwodigits)w0[i]; |
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2328 vk[i] = (digit)z & PyLong_MASK; |
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2329 zhi = (sdigit)Py_ARITHMETIC_RIGHT_SHIFT(stwodigits, |
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2330 z, PyLong_SHIFT); |
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2331 } |
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2332 |
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2333 /* add w back if q was too large (this branch taken rarely) */ |
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2334 assert((sdigit)vtop + zhi == -1 || (sdigit)vtop + zhi == 0); |
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2335 if ((sdigit)vtop + zhi < 0) { |
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2336 carry = 0; |
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2337 for (i = 0; i < size_w; ++i) { |
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2338 carry += vk[i] + w0[i]; |
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2339 vk[i] = carry & PyLong_MASK; |
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2340 carry >>= PyLong_SHIFT; |
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2341 } |
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2342 --q; |
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2343 } |
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2344 |
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2345 /* store quotient digit */ |
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2346 assert(q < PyLong_BASE); |
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2347 *--ak = q; |
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2348 } |
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2349 |
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2350 /* unshift remainder; we reuse w to store the result */ |
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2351 carry = v_rshift(w0, v0, size_w, d); |
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2352 assert(carry==0); |
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2353 Py_DECREF(v); |
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2354 |
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2355 *prem = long_normalize(w); |
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2356 return long_normalize(a); |
| 230 | 2357 } |
| 2358 | |
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2359 /* For a nonzero PyLong a, express a in the form x * 2**e, with 0.5 <= |
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2360 abs(x) < 1.0 and e >= 0; return x and put e in *e. Here x is |
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2361 rounded to DBL_MANT_DIG significant bits using round-half-to-even. |
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2362 If a == 0, return 0.0 and set *e = 0. If the resulting exponent |
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2363 e is larger than PY_SSIZE_T_MAX, raise OverflowError and return |
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2364 -1.0. */ |
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2365 |
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2366 /* attempt to define 2.0**DBL_MANT_DIG as a compile-time constant */ |
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2367 #if DBL_MANT_DIG == 53 |
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2368 #define EXP2_DBL_MANT_DIG 9007199254740992.0 |
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2369 #else |
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2370 #define EXP2_DBL_MANT_DIG (ldexp(1.0, DBL_MANT_DIG)) |
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2371 #endif |
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2372 |
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2373 double |
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2374 _PyLong_Frexp(PyLongObject *a, Py_ssize_t *e) |
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2375 { |
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2376 Py_ssize_t a_size, a_bits, shift_digits, shift_bits, x_size; |
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2377 /* See below for why x_digits is always large enough. */ |
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2378 digit rem, x_digits[2 + (DBL_MANT_DIG + 1) / PyLong_SHIFT]; |
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2379 double dx; |
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2380 /* Correction term for round-half-to-even rounding. For a digit x, |
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2381 "x + half_even_correction[x & 7]" gives x rounded to the nearest |
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2382 multiple of 4, rounding ties to a multiple of 8. */ |
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2383 static const int half_even_correction[8] = {0, -1, -2, 1, 0, -1, 2, 1}; |
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2384 |
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2385 a_size = ABS(Py_SIZE(a)); |
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2386 if (a_size == 0) { |
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2387 /* Special case for 0: significand 0.0, exponent 0. */ |
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2388 *e = 0; |
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2389 return 0.0; |
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2390 } |
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2391 a_bits = bits_in_digit(a->ob_digit[a_size-1]); |
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2392 /* The following is an overflow-free version of the check |
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2393 "if ((a_size - 1) * PyLong_SHIFT + a_bits > PY_SSIZE_T_MAX) ..." */ |
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2394 if (a_size >= (PY_SSIZE_T_MAX - 1) / PyLong_SHIFT + 1 && |
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2395 (a_size > (PY_SSIZE_T_MAX - 1) / PyLong_SHIFT + 1 || |
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2396 a_bits > (PY_SSIZE_T_MAX - 1) % PyLong_SHIFT + 1)) |
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2397 goto overflow; |
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2398 a_bits = (a_size - 1) * PyLong_SHIFT + a_bits; |
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2399 |
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2400 /* Shift the first DBL_MANT_DIG + 2 bits of a into x_digits[0:x_size] |
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2401 (shifting left if a_bits <= DBL_MANT_DIG + 2). |
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2402 |
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2403 Number of digits needed for result: write // for floor division. |
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2404 Then if shifting left, we end up using |
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2405 |
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2406 1 + a_size + (DBL_MANT_DIG + 2 - a_bits) // PyLong_SHIFT |
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2407 |
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2408 digits. If shifting right, we use |
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2409 |
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2410 a_size - (a_bits - DBL_MANT_DIG - 2) // PyLong_SHIFT |
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2411 |
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2412 digits. Using a_size = 1 + (a_bits - 1) // PyLong_SHIFT along with |
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2413 the inequalities |
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2414 |
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2415 m // PyLong_SHIFT + n // PyLong_SHIFT <= (m + n) // PyLong_SHIFT |
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2416 m // PyLong_SHIFT - n // PyLong_SHIFT <= |
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2417 1 + (m - n - 1) // PyLong_SHIFT, |
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2418 |
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2419 valid for any integers m and n, we find that x_size satisfies |
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2420 |
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2421 x_size <= 2 + (DBL_MANT_DIG + 1) // PyLong_SHIFT |
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2422 |
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2423 in both cases. |
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2424 */ |
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2425 if (a_bits <= DBL_MANT_DIG + 2) { |
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2426 shift_digits = (DBL_MANT_DIG + 2 - a_bits) / PyLong_SHIFT; |
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2427 shift_bits = (DBL_MANT_DIG + 2 - a_bits) % PyLong_SHIFT; |
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2428 x_size = 0; |
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2429 while (x_size < shift_digits) |
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2430 x_digits[x_size++] = 0; |
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2431 rem = v_lshift(x_digits + x_size, a->ob_digit, a_size, |
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2432 (int)shift_bits); |
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2433 x_size += a_size; |
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2434 x_digits[x_size++] = rem; |
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2435 } |
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2436 else { |
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2437 shift_digits = (a_bits - DBL_MANT_DIG - 2) / PyLong_SHIFT; |
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2438 shift_bits = (a_bits - DBL_MANT_DIG - 2) % PyLong_SHIFT; |
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2439 rem = v_rshift(x_digits, a->ob_digit + shift_digits, |
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|
2440 a_size - shift_digits, (int)shift_bits); |
|
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|
2441 x_size = a_size - shift_digits; |
|
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|
2442 /* For correct rounding below, we need the least significant |
|
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|
2443 bit of x to be 'sticky' for this shift: if any of the bits |
|
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|
2444 shifted out was nonzero, we set the least significant bit |
|
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2445 of x. */ |
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2446 if (rem) |
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|
2447 x_digits[0] |= 1; |
|
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2448 else |
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2449 while (shift_digits > 0) |
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2450 if (a->ob_digit[--shift_digits]) { |
|
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|
2451 x_digits[0] |= 1; |
|
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2452 break; |
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2453 } |
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|
2454 } |
|
72510
b534b56379cb
Use the new Py_ARRAY_LENGTH macro
Victor Stinner <victor.stinner@haypocalc.com>
parents:
72475
diff
changeset
|
2455 assert(1 <= x_size && x_size <= (Py_ssize_t)Py_ARRAY_LENGTH(x_digits)); |
|
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2456 |
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|
2457 /* Round, and convert to double. */ |
|
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|
2458 x_digits[0] += half_even_correction[x_digits[0] & 7]; |
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|
2459 dx = x_digits[--x_size]; |
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2460 while (x_size > 0) |
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2461 dx = dx * PyLong_BASE + x_digits[--x_size]; |
|
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2462 |
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2463 /* Rescale; make correction if result is 1.0. */ |
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2464 dx /= 4.0 * EXP2_DBL_MANT_DIG; |
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2465 if (dx == 1.0) { |
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2466 if (a_bits == PY_SSIZE_T_MAX) |
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2467 goto overflow; |
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|
2468 dx = 0.5; |
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2469 a_bits += 1; |
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2470 } |
|
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2471 |
|
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2472 *e = a_bits; |
|
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2473 return Py_SIZE(a) < 0 ? -dx : dx; |
|
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2474 |
|
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2475 overflow: |
|
61466
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2476 /* exponent > PY_SSIZE_T_MAX */ |
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|
2477 PyErr_SetString(PyExc_OverflowError, |
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2478 "huge integer: number of bits overflows a Py_ssize_t"); |
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2479 *e = 0; |
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2480 return -1.0; |
|
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2481 } |
|
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|
2482 |
|
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|
2483 /* Get a C double from a long int object. Rounds to the nearest double, |
|
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|
2484 using the round-half-to-even rule in the case of a tie. */ |
|
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2485 |
|
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|
2486 double |
|
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|
2487 PyLong_AsDouble(PyObject *v) |
|
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2488 { |
|
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|
2489 Py_ssize_t exponent; |
|
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2490 double x; |
|
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2491 |
|
72312
4a66a35da3fd
Issue #12909: Make PyLong_As* functions consistent in their use of exceptions.
Nadeem Vawda <nadeem.vawda@gmail.com>
parents:
71810
diff
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|
2492 if (v == NULL) { |
|
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|
2493 PyErr_BadInternalCall(); |
|
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2494 return -1.0; |
|
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|
2495 } |
|
72312
4a66a35da3fd
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Nadeem Vawda <nadeem.vawda@gmail.com>
parents:
71810
diff
changeset
|
2496 if (!PyLong_Check(v)) { |
|
4a66a35da3fd
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Nadeem Vawda <nadeem.vawda@gmail.com>
parents:
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diff
changeset
|
2497 PyErr_SetString(PyExc_TypeError, "an integer is required"); |
|
4a66a35da3fd
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Nadeem Vawda <nadeem.vawda@gmail.com>
parents:
71810
diff
changeset
|
2498 return -1.0; |
|
4a66a35da3fd
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Nadeem Vawda <nadeem.vawda@gmail.com>
parents:
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|
2499 } |
|
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2500 x = _PyLong_Frexp((PyLongObject *)v, &exponent); |
|
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2501 if ((x == -1.0 && PyErr_Occurred()) || exponent > DBL_MAX_EXP) { |
|
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|
2502 PyErr_SetString(PyExc_OverflowError, |
|
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|
2503 "long int too large to convert to float"); |
|
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2504 return -1.0; |
|
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|
2505 } |
|
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|
2506 return ldexp(x, (int)exponent); |
|
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|
2507 } |
|
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|
2508 |
| 230 | 2509 /* Methods */ |
| 2510 | |
| 2511 static void | |
|
13406
a503af7e7fb7
Some cleanup of longs in prepartion for Cray J90 fixes: got
Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
2512 long_dealloc(PyObject *v) |
| 230 | 2513 { |
|
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|
2514 Py_TYPE(v)->tp_free(v); |
| 230 | 2515 } |
| 2516 | |
| 2517 static int | |
|
13406
a503af7e7fb7
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Tim Peters <tim.peters@gmail.com>
parents:
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|
2518 long_compare(PyLongObject *a, PyLongObject *b) |
| 230 | 2519 { |
|
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|
2520 Py_ssize_t sign; |
|
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2521 |
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|
2522 if (Py_SIZE(a) != Py_SIZE(b)) { |
|
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2523 sign = Py_SIZE(a) - Py_SIZE(b); |
|
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2524 } |
|
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|
2525 else { |
|
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|
2526 Py_ssize_t i = ABS(Py_SIZE(a)); |
|
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|
2527 while (--i >= 0 && a->ob_digit[i] == b->ob_digit[i]) |
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|
2528 ; |
|
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2529 if (i < 0) |
|
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2530 sign = 0; |
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2531 else { |
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2532 sign = (sdigit)a->ob_digit[i] - (sdigit)b->ob_digit[i]; |
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2533 if (Py_SIZE(a) < 0) |
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|
2534 sign = -sign; |
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2535 } |
|
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2536 } |
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2537 return sign < 0 ? -1 : sign > 0 ? 1 : 0; |
| 230 | 2538 } |
| 2539 | |
|
50241
45bea584694e
Issue #3106: Speedup some comparisons. This also removes the last call
Antoine Pitrou <solipsis@pitrou.net>
parents:
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|
2540 #define TEST_COND(cond) \ |
|
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2541 ((cond) ? Py_True : Py_False) |
|
50241
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Antoine Pitrou <solipsis@pitrou.net>
parents:
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|
2542 |
|
39644
13d5e5f0e993
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Guido van Rossum <guido@python.org>
parents:
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|
2543 static PyObject * |
|
13d5e5f0e993
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Guido van Rossum <guido@python.org>
parents:
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|
2544 long_richcompare(PyObject *self, PyObject *other, int op) |
|
13d5e5f0e993
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Guido van Rossum <guido@python.org>
parents:
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|
2545 { |
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2546 int result; |
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2547 PyObject *v; |
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2548 CHECK_BINOP(self, other); |
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2549 if (self == other) |
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2550 result = 0; |
|
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2551 else |
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2552 result = long_compare((PyLongObject*)self, (PyLongObject*)other); |
|
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|
2553 /* Convert the return value to a Boolean */ |
|
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|
2554 switch (op) { |
|
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2555 case Py_EQ: |
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|
2556 v = TEST_COND(result == 0); |
|
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|
2557 break; |
|
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|
2558 case Py_NE: |
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|
2559 v = TEST_COND(result != 0); |
|
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|
2560 break; |
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|
2561 case Py_LE: |
|
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|
2562 v = TEST_COND(result <= 0); |
|
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|
2563 break; |
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|
2564 case Py_GE: |
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|
2565 v = TEST_COND(result >= 0); |
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|
2566 break; |
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|
2567 case Py_LT: |
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2568 v = TEST_COND(result == -1); |
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2569 break; |
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2570 case Py_GT: |
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2571 v = TEST_COND(result == 1); |
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|
2572 break; |
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|
2573 default: |
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|
2574 PyErr_BadArgument(); |
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2575 return NULL; |
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2576 } |
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|
2577 Py_INCREF(v); |
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2578 return v; |
|
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13d5e5f0e993
Restructure comparison dramatically. There is no longer a default
Guido van Rossum <guido@python.org>
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2579 } |
|
13d5e5f0e993
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Guido van Rossum <guido@python.org>
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|
2580 |
|
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e8969fb822fc
make hashes always the size of pointers; introduce Py_hash_t #9778
Benjamin Peterson <benjamin@python.org>
parents:
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diff
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|
2581 static Py_hash_t |
|
13406
a503af7e7fb7
Some cleanup of longs in prepartion for Cray J90 fixes: got
Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
2582 long_hash(PyLongObject *v) |
|
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1cabc2b6c970
* Changed all copyright messages to include 1993.
Guido van Rossum <guido@python.org>
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|
2583 { |
|
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Benjamin Peterson <benjamin@python.org>
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|
2584 Py_uhash_t x; |
|
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|
2585 Py_ssize_t i; |
|
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|
2586 int sign; |
|
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2587 |
|
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|
2588 i = Py_SIZE(v); |
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2589 switch(i) { |
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2590 case -1: return v->ob_digit[0]==1 ? -2 : -(sdigit)v->ob_digit[0]; |
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|
2591 case 0: return 0; |
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2592 case 1: return v->ob_digit[0]; |
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2593 } |
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|
2594 sign = 1; |
|
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|
2595 x = 0; |
|
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|
2596 if (i < 0) { |
|
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|
2597 sign = -1; |
|
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|
2598 i = -(i); |
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2599 } |
|
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|
2600 while (--i >= 0) { |
|
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parents:
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diff
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|
2601 /* Here x is a quantity in the range [0, _PyHASH_MODULUS); we |
|
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parents:
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|
2602 want to compute x * 2**PyLong_SHIFT + v->ob_digit[i] modulo |
|
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parents:
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|
2603 _PyHASH_MODULUS. |
|
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|
2604 |
|
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parents:
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|
2605 The computation of x * 2**PyLong_SHIFT % _PyHASH_MODULUS |
|
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|
2606 amounts to a rotation of the bits of x. To see this, write |
|
0bc8ffe6ba9a
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|
2607 |
|
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parents:
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|
2608 x * 2**PyLong_SHIFT = y * 2**_PyHASH_BITS + z |
|
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Mark Dickinson <dickinsm@gmail.com>
parents:
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|
2609 |
|
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parents:
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|
2610 where y = x >> (_PyHASH_BITS - PyLong_SHIFT) gives the top |
|
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parents:
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|
2611 PyLong_SHIFT bits of x (those that are shifted out of the |
|
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parents:
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|
2612 original _PyHASH_BITS bits, and z = (x << PyLong_SHIFT) & |
|
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Mark Dickinson <dickinsm@gmail.com>
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|
2613 _PyHASH_MODULUS gives the bottom _PyHASH_BITS - PyLong_SHIFT |
|
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parents:
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|
2614 bits of x, shifted up. Then since 2**_PyHASH_BITS is |
|
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|
2615 congruent to 1 modulo _PyHASH_MODULUS, y*2**_PyHASH_BITS is |
|
0bc8ffe6ba9a
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|
2616 congruent to y modulo _PyHASH_MODULUS. So |
|
0bc8ffe6ba9a
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Mark Dickinson <dickinsm@gmail.com>
parents:
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|
2617 |
|
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Mark Dickinson <dickinsm@gmail.com>
parents:
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|
2618 x * 2**PyLong_SHIFT = y + z (mod _PyHASH_MODULUS). |
|
0bc8ffe6ba9a
Issue #8188: Introduce a new scheme for computing hashes of numbers
Mark Dickinson <dickinsm@gmail.com>
parents:
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|
2619 |
|
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|
2620 The right-hand side is just the result of rotating the |
|
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Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
2621 _PyHASH_BITS bits of x left by PyLong_SHIFT places; since |
|
0bc8ffe6ba9a
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Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
2622 not all _PyHASH_BITS bits of x are 1s, the same is true |
|
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|
2623 after rotation, so 0 <= y+z < _PyHASH_MODULUS and y + z is |
|
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|
2624 the reduction of x*2**PyLong_SHIFT modulo |
|
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parents:
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diff
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|
2625 _PyHASH_MODULUS. */ |
|
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parents:
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diff
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|
2626 x = ((x << PyLong_SHIFT) & _PyHASH_MODULUS) | |
|
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Mark Dickinson <dickinsm@gmail.com>
parents:
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|
2627 (x >> (_PyHASH_BITS - PyLong_SHIFT)); |
|
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|
2628 x += v->ob_digit[i]; |
|
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parents:
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diff
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|
2629 if (x >= _PyHASH_MODULUS) |
|
0bc8ffe6ba9a
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parents:
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diff
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|
2630 x -= _PyHASH_MODULUS; |
|
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2631 } |
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|
2632 x = x * sign; |
|
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be8ae6b17539
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Benjamin Peterson <benjamin@python.org>
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|
2633 if (x == (Py_uhash_t)-1) |
|
be8ae6b17539
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Benjamin Peterson <benjamin@python.org>
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|
2634 x = (Py_uhash_t)-2; |
|
65494
e8969fb822fc
make hashes always the size of pointers; introduce Py_hash_t #9778
Benjamin Peterson <benjamin@python.org>
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diff
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|
2635 return (Py_hash_t)x; |
|
1257
1cabc2b6c970
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Guido van Rossum <guido@python.org>
parents:
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diff
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|
2636 } |
|
1cabc2b6c970
* Changed all copyright messages to include 1993.
Guido van Rossum <guido@python.org>
parents:
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diff
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|
2637 |
|
1cabc2b6c970
* Changed all copyright messages to include 1993.
Guido van Rossum <guido@python.org>
parents:
1252
diff
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|
2638 |
| 230 | 2639 /* Add the absolute values of two long integers. */ |
| 2640 | |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
2641 static PyLongObject * |
|
13406
a503af7e7fb7
Some cleanup of longs in prepartion for Cray J90 fixes: got
Tim Peters <tim.peters@gmail.com>
parents:
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|
2642 x_add(PyLongObject *a, PyLongObject *b) |
| 230 | 2643 { |
|
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2644 Py_ssize_t size_a = ABS(Py_SIZE(a)), size_b = ABS(Py_SIZE(b)); |
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|
2645 PyLongObject *z; |
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|
2646 Py_ssize_t i; |
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|
2647 digit carry = 0; |
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2648 |
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2649 /* Ensure a is the larger of the two: */ |
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2650 if (size_a < size_b) { |
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|
2651 { PyLongObject *temp = a; a = b; b = temp; } |
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2652 { Py_ssize_t size_temp = size_a; |
|
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2653 size_a = size_b; |
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2654 size_b = size_temp; } |
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2655 } |
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2656 z = _PyLong_New(size_a+1); |
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2657 if (z == NULL) |
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2658 return NULL; |
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|
2659 for (i = 0; i < size_b; ++i) { |
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2660 carry += a->ob_digit[i] + b->ob_digit[i]; |
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|
2661 z->ob_digit[i] = carry & PyLong_MASK; |
|
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|
2662 carry >>= PyLong_SHIFT; |
|
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2663 } |
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2664 for (; i < size_a; ++i) { |
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|
2665 carry += a->ob_digit[i]; |
|
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|
2666 z->ob_digit[i] = carry & PyLong_MASK; |
|
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|
2667 carry >>= PyLong_SHIFT; |
|
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|
2668 } |
|
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|
2669 z->ob_digit[i] = carry; |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
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|
2670 return long_normalize(z); |
| 230 | 2671 } |
| 2672 | |
| 2673 /* Subtract the absolute values of two integers. */ | |
| 2674 | |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
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diff
changeset
|
2675 static PyLongObject * |
|
13406
a503af7e7fb7
Some cleanup of longs in prepartion for Cray J90 fixes: got
Tim Peters <tim.peters@gmail.com>
parents:
13256
diff
changeset
|
2676 x_sub(PyLongObject *a, PyLongObject *b) |
| 230 | 2677 { |
|
61467
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|
2678 Py_ssize_t size_a = ABS(Py_SIZE(a)), size_b = ABS(Py_SIZE(b)); |
|
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|
2679 PyLongObject *z; |
|
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|
2680 Py_ssize_t i; |
|
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|
2681 int sign = 1; |
|
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|
2682 digit borrow = 0; |
|
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|
2683 |
|
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|
2684 /* Ensure a is the larger of the two: */ |
|
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|
2685 if (size_a < size_b) { |
|
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|
2686 sign = -1; |
|
f197407bdba2
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|
2687 { PyLongObject *temp = a; a = b; b = temp; } |
|
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|
2688 { Py_ssize_t size_temp = size_a; |
|
61491
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|
2689 size_a = size_b; |
|
829a86e11bd7
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|
2690 size_b = size_temp; } |
|
61467
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|
2691 } |
|
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|
2692 else if (size_a == size_b) { |
|
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|
2693 /* Find highest digit where a and b differ: */ |
|
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|
2694 i = size_a; |
|
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|
2695 while (--i >= 0 && a->ob_digit[i] == b->ob_digit[i]) |
|
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|
2696 ; |
|
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|
2697 if (i < 0) |
|
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|
2698 return (PyLongObject *)PyLong_FromLong(0); |
|
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|
2699 if (a->ob_digit[i] < b->ob_digit[i]) { |
|
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|
2700 sign = -1; |
|
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|
2701 { PyLongObject *temp = a; a = b; b = temp; } |
|
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|
2702 } |
|
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|
2703 size_a = size_b = i+1; |
|
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|
2704 } |
|
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|
2705 z = _PyLong_New(size_a); |
|
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|
2706 if (z == NULL) |
|
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|
2707 return NULL; |
|
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|
2708 for (i = 0; i < size_b; ++i) { |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2709 /* The following assumes unsigned arithmetic |
|
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|
2710 works module 2**N for some N>PyLong_SHIFT. */ |
|
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|
2711 borrow = a->ob_digit[i] - b->ob_digit[i] - borrow; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2712 z->ob_digit[i] = borrow & PyLong_MASK; |
|
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|
2713 borrow >>= PyLong_SHIFT; |
|
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|
2714 borrow &= 1; /* Keep only one sign bit */ |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2715 } |
|
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|
2716 for (; i < size_a; ++i) { |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2717 borrow = a->ob_digit[i] - borrow; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2718 z->ob_digit[i] = borrow & PyLong_MASK; |
|
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|
2719 borrow >>= PyLong_SHIFT; |
|
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|
2720 borrow &= 1; /* Keep only one sign bit */ |
|
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|
2721 } |
|
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|
2722 assert(borrow == 0); |
|
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|
2723 if (sign < 0) |
|
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|
2724 NEGATE(z); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
2725 return long_normalize(z); |
| 230 | 2726 } |
| 2727 | |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
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diff
changeset
|
2728 static PyObject * |
| 43313 | 2729 long_add(PyLongObject *a, PyLongObject *b) |
| 230 | 2730 { |
|
61467
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|
2731 PyLongObject *z; |
|
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|
2732 |
|
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|
2733 CHECK_BINOP(a, b); |
|
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|
2734 |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2735 if (ABS(Py_SIZE(a)) <= 1 && ABS(Py_SIZE(b)) <= 1) { |
|
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changeset
|
2736 PyObject *result = PyLong_FromLong(MEDIUM_VALUE(a) + |
|
f197407bdba2
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|
2737 MEDIUM_VALUE(b)); |
|
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|
2738 return result; |
|
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|
2739 } |
|
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|
2740 if (Py_SIZE(a) < 0) { |
|
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|
2741 if (Py_SIZE(b) < 0) { |
|
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|
2742 z = x_add(a, b); |
|
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|
2743 if (z != NULL && Py_SIZE(z) != 0) |
|
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|
2744 Py_SIZE(z) = -(Py_SIZE(z)); |
|
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|
2745 } |
|
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|
2746 else |
|
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|
2747 z = x_sub(b, a); |
|
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|
2748 } |
|
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|
2749 else { |
|
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|
2750 if (Py_SIZE(b) < 0) |
|
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|
2751 z = x_sub(a, b); |
|
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|
2752 else |
|
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|
2753 z = x_add(a, b); |
|
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|
2754 } |
|
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|
2755 return (PyObject *)z; |
| 230 | 2756 } |
| 2757 | |
|
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d1447950fa04
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|
2758 static PyObject * |
| 43313 | 2759 long_sub(PyLongObject *a, PyLongObject *b) |
| 230 | 2760 { |
|
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|
2761 PyLongObject *z; |
|
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|
2762 |
|
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|
2763 CHECK_BINOP(a, b); |
|
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2764 |
|
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|
2765 if (ABS(Py_SIZE(a)) <= 1 && ABS(Py_SIZE(b)) <= 1) { |
|
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|
2766 PyObject* r; |
|
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|
2767 r = PyLong_FromLong(MEDIUM_VALUE(a)-MEDIUM_VALUE(b)); |
|
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|
2768 return r; |
|
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|
2769 } |
|
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|
2770 if (Py_SIZE(a) < 0) { |
|
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|
2771 if (Py_SIZE(b) < 0) |
|
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|
2772 z = x_sub(a, b); |
|
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|
2773 else |
|
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|
2774 z = x_add(a, b); |
|
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|
2775 if (z != NULL && Py_SIZE(z) != 0) |
|
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|
2776 Py_SIZE(z) = -(Py_SIZE(z)); |
|
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|
2777 } |
|
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|
2778 else { |
|
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|
2779 if (Py_SIZE(b) < 0) |
|
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|
2780 z = x_add(a, b); |
|
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|
2781 else |
|
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|
2782 z = x_sub(a, b); |
|
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|
2783 } |
|
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2784 return (PyObject *)z; |
| 230 | 2785 } |
| 2786 | |
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2787 /* Grade school multiplication, ignoring the signs. |
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2788 * Returns the absolute value of the product, or NULL if error. |
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2789 */ |
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2790 static PyLongObject * |
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2791 x_mul(PyLongObject *a, PyLongObject *b) |
|
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2792 { |
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2793 PyLongObject *z; |
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2794 Py_ssize_t size_a = ABS(Py_SIZE(a)); |
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2795 Py_ssize_t size_b = ABS(Py_SIZE(b)); |
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2796 Py_ssize_t i; |
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2797 |
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2798 z = _PyLong_New(size_a + size_b); |
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2799 if (z == NULL) |
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2800 return NULL; |
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2801 |
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2802 memset(z->ob_digit, 0, Py_SIZE(z) * sizeof(digit)); |
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2803 if (a == b) { |
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2804 /* Efficient squaring per HAC, Algorithm 14.16: |
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2805 * http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf |
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2806 * Gives slightly less than a 2x speedup when a == b, |
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2807 * via exploiting that each entry in the multiplication |
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2808 * pyramid appears twice (except for the size_a squares). |
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2809 */ |
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2810 for (i = 0; i < size_a; ++i) { |
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2811 twodigits carry; |
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2812 twodigits f = a->ob_digit[i]; |
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2813 digit *pz = z->ob_digit + (i << 1); |
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2814 digit *pa = a->ob_digit + i + 1; |
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2815 digit *paend = a->ob_digit + size_a; |
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2816 |
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2817 SIGCHECK({ |
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2818 Py_DECREF(z); |
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2819 return NULL; |
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2820 }); |
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2821 |
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2822 carry = *pz + f * f; |
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2823 *pz++ = (digit)(carry & PyLong_MASK); |
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2824 carry >>= PyLong_SHIFT; |
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2825 assert(carry <= PyLong_MASK); |
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2826 |
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2827 /* Now f is added in twice in each column of the |
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2828 * pyramid it appears. Same as adding f<<1 once. |
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2829 */ |
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2830 f <<= 1; |
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2831 while (pa < paend) { |
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2832 carry += *pz + *pa++ * f; |
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2833 *pz++ = (digit)(carry & PyLong_MASK); |
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2834 carry >>= PyLong_SHIFT; |
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2835 assert(carry <= (PyLong_MASK << 1)); |
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2836 } |
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2837 if (carry) { |
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2838 carry += *pz; |
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2839 *pz++ = (digit)(carry & PyLong_MASK); |
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2840 carry >>= PyLong_SHIFT; |
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2841 } |
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2842 if (carry) |
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2843 *pz += (digit)(carry & PyLong_MASK); |
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2844 assert((carry >> PyLong_SHIFT) == 0); |
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2845 } |
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2846 } |
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2847 else { /* a is not the same as b -- gradeschool long mult */ |
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2848 for (i = 0; i < size_a; ++i) { |
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2849 twodigits carry = 0; |
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2850 twodigits f = a->ob_digit[i]; |
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2851 digit *pz = z->ob_digit + i; |
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2852 digit *pb = b->ob_digit; |
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2853 digit *pbend = b->ob_digit + size_b; |
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2854 |
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2855 SIGCHECK({ |
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2856 Py_DECREF(z); |
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2857 return NULL; |
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2858 }); |
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2859 |
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2860 while (pb < pbend) { |
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2861 carry += *pz + *pb++ * f; |
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2862 *pz++ = (digit)(carry & PyLong_MASK); |
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2863 carry >>= PyLong_SHIFT; |
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2864 assert(carry <= PyLong_MASK); |
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2865 } |
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2866 if (carry) |
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2867 *pz += (digit)(carry & PyLong_MASK); |
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2868 assert((carry >> PyLong_SHIFT) == 0); |
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2869 } |
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2870 } |
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2871 return long_normalize(z); |
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2872 } |
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2873 |
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2874 /* A helper for Karatsuba multiplication (k_mul). |
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2875 Takes a long "n" and an integer "size" representing the place to |
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2876 split, and sets low and high such that abs(n) == (high << size) + low, |
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2877 viewing the shift as being by digits. The sign bit is ignored, and |
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2878 the return values are >= 0. |
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2879 Returns 0 on success, -1 on failure. |
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2880 */ |
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2881 static int |
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2882 kmul_split(PyLongObject *n, |
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2883 Py_ssize_t size, |
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2884 PyLongObject **high, |
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2885 PyLongObject **low) |
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2886 { |
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2887 PyLongObject *hi, *lo; |
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2888 Py_ssize_t size_lo, size_hi; |
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2889 const Py_ssize_t size_n = ABS(Py_SIZE(n)); |
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2890 |
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2891 size_lo = MIN(size_n, size); |
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2892 size_hi = size_n - size_lo; |
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2893 |
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2894 if ((hi = _PyLong_New(size_hi)) == NULL) |
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|
2895 return -1; |
|
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2896 if ((lo = _PyLong_New(size_lo)) == NULL) { |
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|
2897 Py_DECREF(hi); |
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2898 return -1; |
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2899 } |
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2900 |
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2901 memcpy(lo->ob_digit, n->ob_digit, size_lo * sizeof(digit)); |
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|
2902 memcpy(hi->ob_digit, n->ob_digit + size_lo, size_hi * sizeof(digit)); |
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2903 |
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2904 *high = long_normalize(hi); |
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2905 *low = long_normalize(lo); |
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2906 return 0; |
|
24745
ba035f4b47c1
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parents:
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|
2907 } |
|
ba035f4b47c1
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|
2908 |
|
24773
801a44ab2aae
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Tim Peters <tim.peters@gmail.com>
parents:
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|
2909 static PyLongObject *k_lopsided_mul(PyLongObject *a, PyLongObject *b); |
|
801a44ab2aae
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2910 |
|
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2911 /* Karatsuba multiplication. Ignores the input signs, and returns the |
|
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|
2912 * absolute value of the product (or NULL if error). |
|
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2913 * See Knuth Vol. 2 Chapter 4.3.3 (Pp. 294-295). |
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2914 */ |
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2915 static PyLongObject * |
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|
2916 k_mul(PyLongObject *a, PyLongObject *b) |
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2917 { |
|
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2918 Py_ssize_t asize = ABS(Py_SIZE(a)); |
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2919 Py_ssize_t bsize = ABS(Py_SIZE(b)); |
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2920 PyLongObject *ah = NULL; |
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2921 PyLongObject *al = NULL; |
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2922 PyLongObject *bh = NULL; |
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2923 PyLongObject *bl = NULL; |
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2924 PyLongObject *ret = NULL; |
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2925 PyLongObject *t1, *t2, *t3; |
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2926 Py_ssize_t shift; /* the number of digits we split off */ |
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2927 Py_ssize_t i; |
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2928 |
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2929 /* (ah*X+al)(bh*X+bl) = ah*bh*X*X + (ah*bl + al*bh)*X + al*bl |
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2930 * Let k = (ah+al)*(bh+bl) = ah*bl + al*bh + ah*bh + al*bl |
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2931 * Then the original product is |
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2932 * ah*bh*X*X + (k - ah*bh - al*bl)*X + al*bl |
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2933 * By picking X to be a power of 2, "*X" is just shifting, and it's |
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2934 * been reduced to 3 multiplies on numbers half the size. |
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2935 */ |
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2936 |
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2937 /* We want to split based on the larger number; fiddle so that b |
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2938 * is largest. |
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2939 */ |
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2940 if (asize > bsize) { |
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2941 t1 = a; |
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2942 a = b; |
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2943 b = t1; |
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2944 |
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2945 i = asize; |
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2946 asize = bsize; |
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2947 bsize = i; |
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2948 } |
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2949 |
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2950 /* Use gradeschool math when either number is too small. */ |
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2951 i = a == b ? KARATSUBA_SQUARE_CUTOFF : KARATSUBA_CUTOFF; |
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2952 if (asize <= i) { |
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2953 if (asize == 0) |
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2954 return (PyLongObject *)PyLong_FromLong(0); |
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2955 else |
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2956 return x_mul(a, b); |
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2957 } |
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2958 |
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|
2959 /* If a is small compared to b, splitting on b gives a degenerate |
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2960 * case with ah==0, and Karatsuba may be (even much) less efficient |
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2961 * than "grade school" then. However, we can still win, by viewing |
|
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2962 * b as a string of "big digits", each of width a->ob_size. That |
|
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2963 * leads to a sequence of balanced calls to k_mul. |
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2964 */ |
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2965 if (2 * asize <= bsize) |
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2966 return k_lopsided_mul(a, b); |
|
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|
2967 |
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2968 /* Split a & b into hi & lo pieces. */ |
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2969 shift = bsize >> 1; |
|
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2970 if (kmul_split(a, shift, &ah, &al) < 0) goto fail; |
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|
2971 assert(Py_SIZE(ah) > 0); /* the split isn't degenerate */ |
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2972 |
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2973 if (a == b) { |
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2974 bh = ah; |
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2975 bl = al; |
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|
2976 Py_INCREF(bh); |
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2977 Py_INCREF(bl); |
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2978 } |
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2979 else if (kmul_split(b, shift, &bh, &bl) < 0) goto fail; |
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2980 |
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2981 /* The plan: |
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2982 * 1. Allocate result space (asize + bsize digits: that's always |
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2983 * enough). |
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2984 * 2. Compute ah*bh, and copy into result at 2*shift. |
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2985 * 3. Compute al*bl, and copy into result at 0. Note that this |
|
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2986 * can't overlap with #2. |
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2987 * 4. Subtract al*bl from the result, starting at shift. This may |
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2988 * underflow (borrow out of the high digit), but we don't care: |
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2989 * we're effectively doing unsigned arithmetic mod |
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2990 * BASE**(sizea + sizeb), and so long as the *final* result fits, |
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2991 * borrows and carries out of the high digit can be ignored. |
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2992 * 5. Subtract ah*bh from the result, starting at shift. |
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2993 * 6. Compute (ah+al)*(bh+bl), and add it into the result starting |
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2994 * at shift. |
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2995 */ |
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2996 |
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2997 /* 1. Allocate result space. */ |
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2998 ret = _PyLong_New(asize + bsize); |
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2999 if (ret == NULL) goto fail; |
|
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ba035f4b47c1
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3000 #ifdef Py_DEBUG |
|
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|
3001 /* Fill with trash, to catch reference to uninitialized digits. */ |
|
f197407bdba2
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parents:
60446
diff
changeset
|
3002 memset(ret->ob_digit, 0xDF, Py_SIZE(ret) * sizeof(digit)); |
|
24745
ba035f4b47c1
Cautious introduction of a patch that started from
Tim Peters <tim.peters@gmail.com>
parents:
24280
diff
changeset
|
3003 #endif |
|
24751
dbf6e563023b
x_mul(): This failed to normalize its result.
Tim Peters <tim.peters@gmail.com>
parents:
24750
diff
changeset
|
3004 |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3005 /* 2. t1 <- ah*bh, and copy into high digits of result. */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3006 if ((t1 = k_mul(ah, bh)) == NULL) goto fail; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3007 assert(Py_SIZE(t1) >= 0); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3008 assert(2*shift + Py_SIZE(t1) <= Py_SIZE(ret)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3009 memcpy(ret->ob_digit + 2*shift, t1->ob_digit, |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3010 Py_SIZE(t1) * sizeof(digit)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3011 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
3012 /* Zero-out the digits higher than the ah*bh copy. */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3013 i = Py_SIZE(ret) - 2*shift - Py_SIZE(t1); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
3014 if (i) |
|
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Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
3015 memset(ret->ob_digit + 2*shift + Py_SIZE(t1), 0, |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3016 i * sizeof(digit)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3017 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3018 /* 3. t2 <- al*bl, and copy into the low digits. */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3019 if ((t2 = k_mul(al, bl)) == NULL) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
3020 Py_DECREF(t1); |
|
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Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3021 goto fail; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3022 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3023 assert(Py_SIZE(t2) >= 0); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3024 assert(Py_SIZE(t2) <= 2*shift); /* no overlap with high digits */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3025 memcpy(ret->ob_digit, t2->ob_digit, Py_SIZE(t2) * sizeof(digit)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3026 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3027 /* Zero out remaining digits. */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3028 i = 2*shift - Py_SIZE(t2); /* number of uninitialized digits */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3029 if (i) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3030 memset(ret->ob_digit + Py_SIZE(t2), 0, i * sizeof(digit)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3031 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3032 /* 4 & 5. Subtract ah*bh (t1) and al*bl (t2). We do al*bl first |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3033 * because it's fresher in cache. |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3034 */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
3035 i = Py_SIZE(ret) - shift; /* # digits after shift */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3036 (void)v_isub(ret->ob_digit + shift, i, t2->ob_digit, Py_SIZE(t2)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3037 Py_DECREF(t2); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
3038 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
3039 (void)v_isub(ret->ob_digit + shift, i, t1->ob_digit, Py_SIZE(t1)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3040 Py_DECREF(t1); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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changeset
|
3041 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3042 /* 6. t3 <- (ah+al)(bh+bl), and add into result. */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3043 if ((t1 = x_add(ah, al)) == NULL) goto fail; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3044 Py_DECREF(ah); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3045 Py_DECREF(al); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3046 ah = al = NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3047 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
3048 if (a == b) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3049 t2 = t1; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3050 Py_INCREF(t2); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3051 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3052 else if ((t2 = x_add(bh, bl)) == NULL) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3053 Py_DECREF(t1); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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changeset
|
3054 goto fail; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3055 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3056 Py_DECREF(bh); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
3057 Py_DECREF(bl); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
3058 bh = bl = NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3059 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3060 t3 = k_mul(t1, t2); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3061 Py_DECREF(t1); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
3062 Py_DECREF(t2); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3063 if (t3 == NULL) goto fail; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3064 assert(Py_SIZE(t3) >= 0); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3065 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
3066 /* Add t3. It's not obvious why we can't run out of room here. |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3067 * See the (*) comment after this function. |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3068 */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
3069 (void)v_iadd(ret->ob_digit + shift, i, t3->ob_digit, Py_SIZE(t3)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3070 Py_DECREF(t3); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3071 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
3072 return long_normalize(ret); |
|
24745
ba035f4b47c1
Cautious introduction of a patch that started from
Tim Peters <tim.peters@gmail.com>
parents:
24280
diff
changeset
|
3073 |
|
61491
829a86e11bd7
Merged revisions 81036 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61466
diff
changeset
|
3074 fail: |
|
61467
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Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3075 Py_XDECREF(ret); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3076 Py_XDECREF(ah); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3077 Py_XDECREF(al); |
|
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Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3078 Py_XDECREF(bh); |
|
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Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3079 Py_XDECREF(bl); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3080 return NULL; |
|
24745
ba035f4b47c1
Cautious introduction of a patch that started from
Tim Peters <tim.peters@gmail.com>
parents:
24280
diff
changeset
|
3081 } |
|
ba035f4b47c1
Cautious introduction of a patch that started from
Tim Peters <tim.peters@gmail.com>
parents:
24280
diff
changeset
|
3082 |
|
24791
dbf4cc560898
k_mul(): The fix for (ah+al)*(bh+bl) spilling 1 bit beyond the allocated
Tim Peters <tim.peters@gmail.com>
parents:
24777
diff
changeset
|
3083 /* (*) Why adding t3 can't "run out of room" above. |
|
dbf4cc560898
k_mul(): The fix for (ah+al)*(bh+bl) spilling 1 bit beyond the allocated
Tim Peters <tim.peters@gmail.com>
parents:
24777
diff
changeset
|
3084 |
|
24846
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3085 Let f(x) mean the floor of x and c(x) mean the ceiling of x. Some facts |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3086 to start with: |
|
24791
dbf4cc560898
k_mul(): The fix for (ah+al)*(bh+bl) spilling 1 bit beyond the allocated
Tim Peters <tim.peters@gmail.com>
parents:
24777
diff
changeset
|
3087 |
|
24846
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3088 1. For any integer i, i = c(i/2) + f(i/2). In particular, |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3089 bsize = c(bsize/2) + f(bsize/2). |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3090 2. shift = f(bsize/2) |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3091 3. asize <= bsize |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3092 4. Since we call k_lopsided_mul if asize*2 <= bsize, asize*2 > bsize in this |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3093 routine, so asize > bsize/2 >= f(bsize/2) in this routine. |
|
24791
dbf4cc560898
k_mul(): The fix for (ah+al)*(bh+bl) spilling 1 bit beyond the allocated
Tim Peters <tim.peters@gmail.com>
parents:
24777
diff
changeset
|
3094 |
|
24846
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3095 We allocated asize + bsize result digits, and add t3 into them at an offset |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3096 of shift. This leaves asize+bsize-shift allocated digit positions for t3 |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3097 to fit into, = (by #1 and #2) asize + f(bsize/2) + c(bsize/2) - f(bsize/2) = |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3098 asize + c(bsize/2) available digit positions. |
|
24791
dbf4cc560898
k_mul(): The fix for (ah+al)*(bh+bl) spilling 1 bit beyond the allocated
Tim Peters <tim.peters@gmail.com>
parents:
24777
diff
changeset
|
3099 |
|
24846
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3100 bh has c(bsize/2) digits, and bl at most f(size/2) digits. So bh+hl has |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3101 at most c(bsize/2) digits + 1 bit. |
|
24791
dbf4cc560898
k_mul(): The fix for (ah+al)*(bh+bl) spilling 1 bit beyond the allocated
Tim Peters <tim.peters@gmail.com>
parents:
24777
diff
changeset
|
3102 |
|
24846
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3103 If asize == bsize, ah has c(bsize/2) digits, else ah has at most f(bsize/2) |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3104 digits, and al has at most f(bsize/2) digits in any case. So ah+al has at |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3105 most (asize == bsize ? c(bsize/2) : f(bsize/2)) digits + 1 bit. |
|
24791
dbf4cc560898
k_mul(): The fix for (ah+al)*(bh+bl) spilling 1 bit beyond the allocated
Tim Peters <tim.peters@gmail.com>
parents:
24777
diff
changeset
|
3106 |
|
24846
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3107 The product (ah+al)*(bh+bl) therefore has at most |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3108 |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3109 c(bsize/2) + (asize == bsize ? c(bsize/2) : f(bsize/2)) digits + 2 bits |
|
24791
dbf4cc560898
k_mul(): The fix for (ah+al)*(bh+bl) spilling 1 bit beyond the allocated
Tim Peters <tim.peters@gmail.com>
parents:
24777
diff
changeset
|
3110 |
|
24846
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3111 and we have asize + c(bsize/2) available digit positions. We need to show |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3112 this is always enough. An instance of c(bsize/2) cancels out in both, so |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3113 the question reduces to whether asize digits is enough to hold |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3114 (asize == bsize ? c(bsize/2) : f(bsize/2)) digits + 2 bits. If asize < bsize, |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3115 then we're asking whether asize digits >= f(bsize/2) digits + 2 bits. By #4, |
|
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3116 asize is at least f(bsize/2)+1 digits, so this in turn reduces to whether 1 |
|
42334
e70cdce0e8b2
Merged revisions 56467-56482 via svnmerge from
Martin v. Löwis <martin@v.loewis.de>
parents:
42110
diff
changeset
|
3117 digit is enough to hold 2 bits. This is so since PyLong_SHIFT=15 >= 2. If |
|
24846
10a4ec45549d
k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
Tim Peters <tim.peters@gmail.com>
parents:
24845
diff
changeset
|
3118 asize == bsize, then we're asking whether bsize digits is enough to hold |
|
24847
873f12f68e3b
Illustrating by example one good reason not to trust a proof <wink>.
Tim Peters <tim.peters@gmail.com>
parents:
24846
diff
changeset
|
3119 c(bsize/2) digits + 2 bits, or equivalently (by #1) whether f(bsize/2) digits |
|
873f12f68e3b
Illustrating by example one good reason not to trust a proof <wink>.
Tim Peters <tim.peters@gmail.com>
parents:
24846
diff
changeset
|
3120 is enough to hold 2 bits. This is so if bsize >= 2, which holds because |
|
873f12f68e3b
Illustrating by example one good reason not to trust a proof <wink>.
Tim Peters <tim.peters@gmail.com>
parents:
24846
diff
changeset
|
3121 bsize >= KARATSUBA_CUTOFF >= 2. |
|
24821
ae9c9f90b4b0
k_mul() comments: Explained why there's always enough room to subtract
Tim Peters <tim.peters@gmail.com>
parents:
24792
diff
changeset
|
3122 |
|
24824
7c91d303c563
k_mul() comments: Simplified the simplified explanation of why ah*bh and
Tim Peters <tim.peters@gmail.com>
parents:
24821
diff
changeset
|
3123 Note that since there's always enough room for (ah+al)*(bh+bl), and that's |
|
7c91d303c563
k_mul() comments: Simplified the simplified explanation of why ah*bh and
Tim Peters <tim.peters@gmail.com>
parents:
24821
diff
changeset
|
3124 clearly >= each of ah*bh and al*bl, there's always enough room to subtract |
|
7c91d303c563
k_mul() comments: Simplified the simplified explanation of why ah*bh and
Tim Peters <tim.peters@gmail.com>
parents:
24821
diff
changeset
|
3125 ah*bh and al*bl too. |
|
24791
dbf4cc560898
k_mul(): The fix for (ah+al)*(bh+bl) spilling 1 bit beyond the allocated
Tim Peters <tim.peters@gmail.com>
parents:
24777
diff
changeset
|
3126 */ |
|
dbf4cc560898
k_mul(): The fix for (ah+al)*(bh+bl) spilling 1 bit beyond the allocated
Tim Peters <tim.peters@gmail.com>
parents:
24777
diff
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|
3127 |
|
24773
801a44ab2aae
Added new function k_lopsided_mul(), which is much more efficient than
Tim Peters <tim.peters@gmail.com>
parents:
24765
diff
changeset
|
3128 /* b has at least twice the digits of a, and a is big enough that Karatsuba |
|
801a44ab2aae
Added new function k_lopsided_mul(), which is much more efficient than
Tim Peters <tim.peters@gmail.com>
parents:
24765
diff
changeset
|
3129 * would pay off *if* the inputs had balanced sizes. View b as a sequence |
|
801a44ab2aae
Added new function k_lopsided_mul(), which is much more efficient than
Tim Peters <tim.peters@gmail.com>
parents:
24765
diff
changeset
|
3130 * of slices, each with a->ob_size digits, and multiply the slices by a, |
|
801a44ab2aae
Added new function k_lopsided_mul(), which is much more efficient than
Tim Peters <tim.peters@gmail.com>
parents:
24765
diff
changeset
|
3131 * one at a time. This gives k_mul balanced inputs to work with, and is |
|
801a44ab2aae
Added new function k_lopsided_mul(), which is much more efficient than
Tim Peters <tim.peters@gmail.com>
parents:
24765
diff
changeset
|
3132 * also cache-friendly (we compute one double-width slice of the result |
|
68488
0991b40e895d
#11515: fix several typos. Patch by Piotr Kasprzyk.
Ezio Melotti <ezio.melotti@gmail.com>
parents:
61467
diff
changeset
|
3133 * at a time, then move on, never backtracking except for the helpful |
|
24773
801a44ab2aae
Added new function k_lopsided_mul(), which is much more efficient than
Tim Peters <tim.peters@gmail.com>
parents:
24765
diff
changeset
|
3134 * single-width slice overlap between successive partial sums). |
|
801a44ab2aae
Added new function k_lopsided_mul(), which is much more efficient than
Tim Peters <tim.peters@gmail.com>
parents:
24765
diff
changeset
|
3135 */ |
|
801a44ab2aae
Added new function k_lopsided_mul(), which is much more efficient than
Tim Peters <tim.peters@gmail.com>
parents:
24765
diff
changeset
|
3136 static PyLongObject * |
|
801a44ab2aae
Added new function k_lopsided_mul(), which is much more efficient than
Tim Peters <tim.peters@gmail.com>
parents:
24765
diff
changeset
|
3137 k_lopsided_mul(PyLongObject *a, PyLongObject *b) |
|
801a44ab2aae
Added new function k_lopsided_mul(), which is much more efficient than
Tim Peters <tim.peters@gmail.com>
parents:
24765
diff
changeset
|
3138 { |
|
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|
3139 const Py_ssize_t asize = ABS(Py_SIZE(a)); |
|
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|
3140 Py_ssize_t bsize = ABS(Py_SIZE(b)); |
|
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|
3141 Py_ssize_t nbdone; /* # of b digits already multiplied */ |
|
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|
3142 PyLongObject *ret; |
|
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|
3143 PyLongObject *bslice = NULL; |
|
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|
3144 |
|
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|
3145 assert(asize > KARATSUBA_CUTOFF); |
|
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changeset
|
3146 assert(2 * asize <= bsize); |
|
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|
3147 |
|
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changeset
|
3148 /* Allocate result space, and zero it out. */ |
|
f197407bdba2
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changeset
|
3149 ret = _PyLong_New(asize + bsize); |
|
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|
3150 if (ret == NULL) |
|
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|
3151 return NULL; |
|
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changeset
|
3152 memset(ret->ob_digit, 0, Py_SIZE(ret) * sizeof(digit)); |
|
f197407bdba2
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|
3153 |
|
f197407bdba2
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parents:
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diff
changeset
|
3154 /* Successive slices of b are copied into bslice. */ |
|
f197407bdba2
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parents:
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changeset
|
3155 bslice = _PyLong_New(asize); |
|
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|
3156 if (bslice == NULL) |
|
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parents:
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changeset
|
3157 goto fail; |
|
f197407bdba2
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parents:
60446
diff
changeset
|
3158 |
|
f197407bdba2
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parents:
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|
3159 nbdone = 0; |
|
f197407bdba2
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|
3160 while (bsize > 0) { |
|
f197407bdba2
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|
3161 PyLongObject *product; |
|
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|
3162 const Py_ssize_t nbtouse = MIN(bsize, asize); |
|
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|
3163 |
|
f197407bdba2
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changeset
|
3164 /* Multiply the next slice of b by a. */ |
|
f197407bdba2
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parents:
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changeset
|
3165 memcpy(bslice->ob_digit, b->ob_digit + nbdone, |
|
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|
3166 nbtouse * sizeof(digit)); |
|
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|
3167 Py_SIZE(bslice) = nbtouse; |
|
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|
3168 product = k_mul(a, bslice); |
|
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|
3169 if (product == NULL) |
|
f197407bdba2
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Antoine Pitrou <solipsis@pitrou.net>
parents:
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changeset
|
3170 goto fail; |
|
f197407bdba2
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parents:
60446
diff
changeset
|
3171 |
|
f197407bdba2
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parents:
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|
3172 /* Add into result. */ |
|
f197407bdba2
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diff
changeset
|
3173 (void)v_iadd(ret->ob_digit + nbdone, Py_SIZE(ret) - nbdone, |
|
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changeset
|
3174 product->ob_digit, Py_SIZE(product)); |
|
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|
3175 Py_DECREF(product); |
|
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|
3176 |
|
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|
3177 bsize -= nbtouse; |
|
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|
3178 nbdone += nbtouse; |
|
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|
3179 } |
|
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|
3180 |
|
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|
3181 Py_DECREF(bslice); |
|
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|
3182 return long_normalize(ret); |
|
24773
801a44ab2aae
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Tim Peters <tim.peters@gmail.com>
parents:
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|
3183 |
|
61491
829a86e11bd7
Merged revisions 81036 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61466
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|
3184 fail: |
|
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|
3185 Py_DECREF(ret); |
|
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|
3186 Py_XDECREF(bslice); |
|
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|
3187 return NULL; |
|
24773
801a44ab2aae
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Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
3188 } |
|
24745
ba035f4b47c1
Cautious introduction of a patch that started from
Tim Peters <tim.peters@gmail.com>
parents:
24280
diff
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|
3189 |
|
ba035f4b47c1
Cautious introduction of a patch that started from
Tim Peters <tim.peters@gmail.com>
parents:
24280
diff
changeset
|
3190 static PyObject * |
| 43313 | 3191 long_mul(PyLongObject *a, PyLongObject *b) |
|
24745
ba035f4b47c1
Cautious introduction of a patch that started from
Tim Peters <tim.peters@gmail.com>
parents:
24280
diff
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|
3192 { |
|
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|
3193 PyLongObject *z; |
|
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|
3194 |
|
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|
3195 CHECK_BINOP(a, b); |
|
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|
3196 |
|
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|
3197 /* fast path for single-digit multiplication */ |
|
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|
3198 if (ABS(Py_SIZE(a)) <= 1 && ABS(Py_SIZE(b)) <= 1) { |
|
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|
3199 stwodigits v = (stwodigits)(MEDIUM_VALUE(a)) * MEDIUM_VALUE(b); |
|
52215
bb5de24a343f
Issue #4258: Make it possible to use 30-bit digits for PyLongs:
Mark Dickinson <dickinsm@gmail.com>
parents:
51855
diff
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|
3200 #ifdef HAVE_LONG_LONG |
|
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|
3201 return PyLong_FromLongLong((PY_LONG_LONG)v); |
|
52215
bb5de24a343f
Issue #4258: Make it possible to use 30-bit digits for PyLongs:
Mark Dickinson <dickinsm@gmail.com>
parents:
51855
diff
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|
3202 #else |
|
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|
3203 /* if we don't have long long then we're almost certainly |
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|
3204 using 15-bit digits, so v will fit in a long. In the |
|
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|
3205 unlikely event that we're using 30-bit digits on a platform |
|
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|
3206 without long long, a large v will just cause us to fall |
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3207 through to the general multiplication code below. */ |
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3208 if (v >= LONG_MIN && v <= LONG_MAX) |
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3209 return PyLong_FromLong((long)v); |
|
52215
bb5de24a343f
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Mark Dickinson <dickinsm@gmail.com>
parents:
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|
3210 #endif |
|
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3211 } |
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3212 |
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3213 z = k_mul(a, b); |
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3214 /* Negate if exactly one of the inputs is negative. */ |
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3215 if (((Py_SIZE(a) ^ Py_SIZE(b)) < 0) && z) |
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3216 NEGATE(z); |
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3217 return (PyObject *)z; |
| 230 | 3218 } |
| 3219 | |
| 613 | 3220 /* The / and % operators are now defined in terms of divmod(). |
| 3221 The expression a mod b has the value a - b*floor(a/b). | |
| 3222 The long_divrem function gives the remainder after division of | |
| 230 | 3223 |a| by |b|, with the sign of a. This is also expressed |
| 3224 as a - b*trunc(a/b), if trunc truncates towards zero. | |
| 3225 Some examples: | |
|
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3226 a b a rem b a mod b |
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3227 13 10 3 3 |
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3228 -13 10 -3 7 |
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3229 13 -10 3 -7 |
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3230 -13 -10 -3 -3 |
| 230 | 3231 So, to get from rem to mod, we have to add b if a and b |
| 242 | 3232 have different signs. We then subtract one from the 'div' |
| 3233 part of the outcome to keep the invariant intact. */ | |
| 230 | 3234 |
|
33327
5452d4ecddd0
SF patch 936813: fast modular exponentiation
Tim Peters <tim.peters@gmail.com>
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3235 /* Compute |
|
5452d4ecddd0
SF patch 936813: fast modular exponentiation
Tim Peters <tim.peters@gmail.com>
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3236 * *pdiv, *pmod = divmod(v, w) |
|
5452d4ecddd0
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Tim Peters <tim.peters@gmail.com>
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3237 * NULL can be passed for pdiv or pmod, in which case that part of |
|
5452d4ecddd0
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3238 * the result is simply thrown away. The caller owns a reference to |
|
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3239 * each of these it requests (does not pass NULL for). |
|
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3240 */ |
| 613 | 3241 static int |
|
24745
ba035f4b47c1
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3242 l_divmod(PyLongObject *v, PyLongObject *w, |
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3243 PyLongObject **pdiv, PyLongObject **pmod) |
| 613 | 3244 { |
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3245 PyLongObject *div, *mod; |
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3246 |
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3247 if (long_divrem(v, w, &div, &mod) < 0) |
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3248 return -1; |
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3249 if ((Py_SIZE(mod) < 0 && Py_SIZE(w) > 0) || |
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3250 (Py_SIZE(mod) > 0 && Py_SIZE(w) < 0)) { |
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3251 PyLongObject *temp; |
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3252 PyLongObject *one; |
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3253 temp = (PyLongObject *) long_add(mod, w); |
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3254 Py_DECREF(mod); |
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3255 mod = temp; |
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3256 if (mod == NULL) { |
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3257 Py_DECREF(div); |
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3258 return -1; |
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3259 } |
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3260 one = (PyLongObject *) PyLong_FromLong(1L); |
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3261 if (one == NULL || |
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3262 (temp = (PyLongObject *) long_sub(div, one)) == NULL) { |
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3263 Py_DECREF(mod); |
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3264 Py_DECREF(div); |
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3265 Py_XDECREF(one); |
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3266 return -1; |
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3267 } |
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3268 Py_DECREF(one); |
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3269 Py_DECREF(div); |
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3270 div = temp; |
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3271 } |
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3272 if (pdiv != NULL) |
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3273 *pdiv = div; |
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3274 else |
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3275 Py_DECREF(div); |
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3276 |
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3277 if (pmod != NULL) |
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3278 *pmod = mod; |
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3279 else |
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3280 Py_DECREF(mod); |
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3281 |
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3282 return 0; |
| 613 | 3283 } |
| 3284 | |
|
5396
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3285 static PyObject * |
| 43313 | 3286 long_div(PyObject *a, PyObject *b) |
| 613 | 3287 { |
|
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3288 PyLongObject *div; |
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3289 |
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3290 CHECK_BINOP(a, b); |
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3291 if (l_divmod((PyLongObject*)a, (PyLongObject*)b, &div, NULL) < 0) |
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3292 div = NULL; |
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3293 return (PyObject *)div; |
| 613 | 3294 } |
| 3295 | |
|
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3296 /* PyLong/PyLong -> float, with correctly rounded result. */ |
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3297 |
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3298 #define MANT_DIG_DIGITS (DBL_MANT_DIG / PyLong_SHIFT) |
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3299 #define MANT_DIG_BITS (DBL_MANT_DIG % PyLong_SHIFT) |
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3300 |
|
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3301 static PyObject * |
|
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3302 long_true_divide(PyObject *v, PyObject *w) |
|
19675
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Tim Peters <tim.peters@gmail.com>
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3303 { |
|
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3304 PyLongObject *a, *b, *x; |
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3305 Py_ssize_t a_size, b_size, shift, extra_bits, diff, x_size, x_bits; |
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3306 digit mask, low; |
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3307 int inexact, negate, a_is_small, b_is_small; |
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3308 double dx, result; |
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3309 |
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3310 CHECK_BINOP(v, w); |
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3311 a = (PyLongObject *)v; |
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3312 b = (PyLongObject *)w; |
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3313 |
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3314 /* |
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3315 Method in a nutshell: |
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3316 |
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3317 0. reduce to case a, b > 0; filter out obvious underflow/overflow |
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3318 1. choose a suitable integer 'shift' |
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3319 2. use integer arithmetic to compute x = floor(2**-shift*a/b) |
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3320 3. adjust x for correct rounding |
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3321 4. convert x to a double dx with the same value |
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3322 5. return ldexp(dx, shift). |
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3323 |
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3324 In more detail: |
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3325 |
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3326 0. For any a, a/0 raises ZeroDivisionError; for nonzero b, 0/b |
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3327 returns either 0.0 or -0.0, depending on the sign of b. For a and |
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3328 b both nonzero, ignore signs of a and b, and add the sign back in |
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3329 at the end. Now write a_bits and b_bits for the bit lengths of a |
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3330 and b respectively (that is, a_bits = 1 + floor(log_2(a)); likewise |
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3331 for b). Then |
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3332 |
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3333 2**(a_bits - b_bits - 1) < a/b < 2**(a_bits - b_bits + 1). |
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3334 |
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3335 So if a_bits - b_bits > DBL_MAX_EXP then a/b > 2**DBL_MAX_EXP and |
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3336 so overflows. Similarly, if a_bits - b_bits < DBL_MIN_EXP - |
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3337 DBL_MANT_DIG - 1 then a/b underflows to 0. With these cases out of |
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3338 the way, we can assume that |
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3339 |
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3340 DBL_MIN_EXP - DBL_MANT_DIG - 1 <= a_bits - b_bits <= DBL_MAX_EXP. |
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3341 |
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3342 1. The integer 'shift' is chosen so that x has the right number of |
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3343 bits for a double, plus two or three extra bits that will be used |
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3344 in the rounding decisions. Writing a_bits and b_bits for the |
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3345 number of significant bits in a and b respectively, a |
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3346 straightforward formula for shift is: |
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3347 |
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3348 shift = a_bits - b_bits - DBL_MANT_DIG - 2 |
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3349 |
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3350 This is fine in the usual case, but if a/b is smaller than the |
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3351 smallest normal float then it can lead to double rounding on an |
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3352 IEEE 754 platform, giving incorrectly rounded results. So we |
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3353 adjust the formula slightly. The actual formula used is: |
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3354 |
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3355 shift = MAX(a_bits - b_bits, DBL_MIN_EXP) - DBL_MANT_DIG - 2 |
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3356 |
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3357 2. The quantity x is computed by first shifting a (left -shift bits |
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3358 if shift <= 0, right shift bits if shift > 0) and then dividing by |
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3359 b. For both the shift and the division, we keep track of whether |
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3360 the result is inexact, in a flag 'inexact'; this information is |
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3361 needed at the rounding stage. |
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3362 |
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3363 With the choice of shift above, together with our assumption that |
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3364 a_bits - b_bits >= DBL_MIN_EXP - DBL_MANT_DIG - 1, it follows |
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3365 that x >= 1. |
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3366 |
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3367 3. Now x * 2**shift <= a/b < (x+1) * 2**shift. We want to replace |
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3368 this with an exactly representable float of the form |
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3369 |
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3370 round(x/2**extra_bits) * 2**(extra_bits+shift). |
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3371 |
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3372 For float representability, we need x/2**extra_bits < |
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3373 2**DBL_MANT_DIG and extra_bits + shift >= DBL_MIN_EXP - |
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3374 DBL_MANT_DIG. This translates to the condition: |
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3375 |
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3376 extra_bits >= MAX(x_bits, DBL_MIN_EXP - shift) - DBL_MANT_DIG |
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3377 |
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3378 To round, we just modify the bottom digit of x in-place; this can |
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3379 end up giving a digit with value > PyLONG_MASK, but that's not a |
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3380 problem since digits can hold values up to 2*PyLONG_MASK+1. |
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3381 |
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3382 With the original choices for shift above, extra_bits will always |
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3383 be 2 or 3. Then rounding under the round-half-to-even rule, we |
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3384 round up iff the most significant of the extra bits is 1, and |
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3385 either: (a) the computation of x in step 2 had an inexact result, |
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3386 or (b) at least one other of the extra bits is 1, or (c) the least |
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3387 significant bit of x (above those to be rounded) is 1. |
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3388 |
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3389 4. Conversion to a double is straightforward; all floating-point |
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3390 operations involved in the conversion are exact, so there's no |
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3391 danger of rounding errors. |
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3392 |
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3393 5. Use ldexp(x, shift) to compute x*2**shift, the final result. |
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3394 The result will always be exactly representable as a double, except |
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3395 in the case that it overflows. To avoid dependence on the exact |
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3396 behaviour of ldexp on overflow, we check for overflow before |
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3397 applying ldexp. The result of ldexp is adjusted for sign before |
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3398 returning. |
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3399 */ |
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3400 |
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3401 /* Reduce to case where a and b are both positive. */ |
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3402 a_size = ABS(Py_SIZE(a)); |
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3403 b_size = ABS(Py_SIZE(b)); |
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3404 negate = (Py_SIZE(a) < 0) ^ (Py_SIZE(b) < 0); |
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3405 if (b_size == 0) { |
|
61467
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3406 PyErr_SetString(PyExc_ZeroDivisionError, |
|
61466
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3407 "division by zero"); |
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3408 goto error; |
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3409 } |
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3410 if (a_size == 0) |
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3411 goto underflow_or_zero; |
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3412 |
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3413 /* Fast path for a and b small (exactly representable in a double). |
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3414 Relies on floating-point division being correctly rounded; results |
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3415 may be subject to double rounding on x86 machines that operate with |
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3416 the x87 FPU set to 64-bit precision. */ |
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3417 a_is_small = a_size <= MANT_DIG_DIGITS || |
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3418 (a_size == MANT_DIG_DIGITS+1 && |
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3419 a->ob_digit[MANT_DIG_DIGITS] >> MANT_DIG_BITS == 0); |
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3420 b_is_small = b_size <= MANT_DIG_DIGITS || |
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3421 (b_size == MANT_DIG_DIGITS+1 && |
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3422 b->ob_digit[MANT_DIG_DIGITS] >> MANT_DIG_BITS == 0); |
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3423 if (a_is_small && b_is_small) { |
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3424 double da, db; |
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3425 da = a->ob_digit[--a_size]; |
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3426 while (a_size > 0) |
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3427 da = da * PyLong_BASE + a->ob_digit[--a_size]; |
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3428 db = b->ob_digit[--b_size]; |
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3429 while (b_size > 0) |
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3430 db = db * PyLong_BASE + b->ob_digit[--b_size]; |
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3431 result = da / db; |
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3432 goto success; |
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3433 } |
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Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3434 |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3435 /* Catch obvious cases of underflow and overflow */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3436 diff = a_size - b_size; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3437 if (diff > PY_SSIZE_T_MAX/PyLong_SHIFT - 1) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3438 /* Extreme overflow */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3439 goto overflow; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3440 else if (diff < 1 - PY_SSIZE_T_MAX/PyLong_SHIFT) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3441 /* Extreme underflow */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3442 goto underflow_or_zero; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3443 /* Next line is now safe from overflowing a Py_ssize_t */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3444 diff = diff * PyLong_SHIFT + bits_in_digit(a->ob_digit[a_size - 1]) - |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3445 bits_in_digit(b->ob_digit[b_size - 1]); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3446 /* Now diff = a_bits - b_bits. */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3447 if (diff > DBL_MAX_EXP) |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3448 goto overflow; |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3449 else if (diff < DBL_MIN_EXP - DBL_MANT_DIG - 1) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3450 goto underflow_or_zero; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3451 |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3452 /* Choose value for shift; see comments for step 1 above. */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3453 shift = MAX(diff, DBL_MIN_EXP) - DBL_MANT_DIG - 2; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3454 |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3455 inexact = 0; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3456 |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3457 /* x = abs(a * 2**-shift) */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3458 if (shift <= 0) { |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3459 Py_ssize_t i, shift_digits = -shift / PyLong_SHIFT; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3460 digit rem; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3461 /* x = a << -shift */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3462 if (a_size >= PY_SSIZE_T_MAX - 1 - shift_digits) { |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3463 /* In practice, it's probably impossible to end up |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
3464 here. Both a and b would have to be enormous, |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
3465 using close to SIZE_T_MAX bytes of memory each. */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
3466 PyErr_SetString(PyExc_OverflowError, |
|
61491
829a86e11bd7
Merged revisions 81036 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61466
diff
changeset
|
3467 "intermediate overflow during division"); |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3468 goto error; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3469 } |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3470 x = _PyLong_New(a_size + shift_digits + 1); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3471 if (x == NULL) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3472 goto error; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3473 for (i = 0; i < shift_digits; i++) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3474 x->ob_digit[i] = 0; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3475 rem = v_lshift(x->ob_digit + shift_digits, a->ob_digit, |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3476 a_size, -shift % PyLong_SHIFT); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3477 x->ob_digit[a_size + shift_digits] = rem; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3478 } |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3479 else { |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3480 Py_ssize_t shift_digits = shift / PyLong_SHIFT; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3481 digit rem; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3482 /* x = a >> shift */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3483 assert(a_size >= shift_digits); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3484 x = _PyLong_New(a_size - shift_digits); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3485 if (x == NULL) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3486 goto error; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3487 rem = v_rshift(x->ob_digit, a->ob_digit + shift_digits, |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3488 a_size - shift_digits, shift % PyLong_SHIFT); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3489 /* set inexact if any of the bits shifted out is nonzero */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3490 if (rem) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3491 inexact = 1; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3492 while (!inexact && shift_digits > 0) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3493 if (a->ob_digit[--shift_digits]) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3494 inexact = 1; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3495 } |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3496 long_normalize(x); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3497 x_size = Py_SIZE(x); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3498 |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3499 /* x //= b. If the remainder is nonzero, set inexact. We own the only |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3500 reference to x, so it's safe to modify it in-place. */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3501 if (b_size == 1) { |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3502 digit rem = inplace_divrem1(x->ob_digit, x->ob_digit, x_size, |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3503 b->ob_digit[0]); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3504 long_normalize(x); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3505 if (rem) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3506 inexact = 1; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3507 } |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
3508 else { |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
3509 PyLongObject *div, *rem; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3510 div = x_divrem(x, b, &rem); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3511 Py_DECREF(x); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3512 x = div; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
3513 if (x == NULL) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3514 goto error; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3515 if (Py_SIZE(rem)) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3516 inexact = 1; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
3517 Py_DECREF(rem); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3518 } |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3519 x_size = ABS(Py_SIZE(x)); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3520 assert(x_size > 0); /* result of division is never zero */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3521 x_bits = (x_size-1)*PyLong_SHIFT+bits_in_digit(x->ob_digit[x_size-1]); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
3522 |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
3523 /* The number of extra bits that have to be rounded away. */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3524 extra_bits = MAX(x_bits, DBL_MIN_EXP - shift) - DBL_MANT_DIG; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3525 assert(extra_bits == 2 || extra_bits == 3); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3526 |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3527 /* Round by directly modifying the low digit of x. */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3528 mask = (digit)1 << (extra_bits - 1); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3529 low = x->ob_digit[0] | inexact; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3530 if (low & mask && low & (3*mask-1)) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3531 low += mask; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3532 x->ob_digit[0] = low & ~(mask-1U); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3533 |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3534 /* Convert x to a double dx; the conversion is exact. */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3535 dx = x->ob_digit[--x_size]; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3536 while (x_size > 0) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3537 dx = dx * PyLong_BASE + x->ob_digit[--x_size]; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3538 Py_DECREF(x); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
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|
3539 |
|
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|
3540 /* Check whether ldexp result will overflow a double. */ |
|
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|
3541 if (shift + x_bits >= DBL_MAX_EXP && |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
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|
3542 (shift + x_bits > DBL_MAX_EXP || dx == ldexp(1.0, (int)x_bits))) |
|
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|
3543 goto overflow; |
|
61466
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|
3544 result = ldexp(dx, (int)shift); |
|
57942
aaa5ab7b942a
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|
3545 |
|
aaa5ab7b942a
Merged revisions 77062 via svnmerge from
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|
3546 success: |
|
61466
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Recorded merge of revisions 81029 via svnmerge from
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|
3547 return PyFloat_FromDouble(negate ? -result : result); |
|
57942
aaa5ab7b942a
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|
3548 |
|
aaa5ab7b942a
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|
3549 underflow_or_zero: |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3550 return PyFloat_FromDouble(negate ? -0.0 : 0.0); |
|
57942
aaa5ab7b942a
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|
3551 |
|
aaa5ab7b942a
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|
3552 overflow: |
|
61467
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|
3553 PyErr_SetString(PyExc_OverflowError, |
|
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|
3554 "integer division result too large for a float"); |
|
57942
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|
3555 error: |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
3556 return NULL; |
|
19675
685dcae5c123
Move long_true_divide next to the other division routines (for clarity!).
Tim Peters <tim.peters@gmail.com>
parents:
19674
diff
changeset
|
3557 } |
|
685dcae5c123
Move long_true_divide next to the other division routines (for clarity!).
Tim Peters <tim.peters@gmail.com>
parents:
19674
diff
changeset
|
3558 |
|
685dcae5c123
Move long_true_divide next to the other division routines (for clarity!).
Tim Peters <tim.peters@gmail.com>
parents:
19674
diff
changeset
|
3559 static PyObject * |
| 43313 | 3560 long_mod(PyObject *a, PyObject *b) |
| 613 | 3561 { |
|
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|
3562 PyLongObject *mod; |
|
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|
3563 |
|
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|
3564 CHECK_BINOP(a, b); |
|
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|
3565 |
|
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|
3566 if (l_divmod((PyLongObject*)a, (PyLongObject*)b, NULL, &mod) < 0) |
|
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|
3567 mod = NULL; |
|
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|
3568 return (PyObject *)mod; |
| 613 | 3569 } |
| 3570 | |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
3571 static PyObject * |
| 43313 | 3572 long_divmod(PyObject *a, PyObject *b) |
| 230 | 3573 { |
|
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|
3574 PyLongObject *div, *mod; |
|
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|
3575 PyObject *z; |
|
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|
3576 |
|
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|
3577 CHECK_BINOP(a, b); |
|
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|
3578 |
|
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|
3579 if (l_divmod((PyLongObject*)a, (PyLongObject*)b, &div, &mod) < 0) { |
|
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|
3580 return NULL; |
|
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|
3581 } |
|
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|
3582 z = PyTuple_New(2); |
|
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|
3583 if (z != NULL) { |
|
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|
3584 PyTuple_SetItem(z, 0, (PyObject *) div); |
|
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|
3585 PyTuple_SetItem(z, 1, (PyObject *) mod); |
|
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|
3586 } |
|
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|
3587 else { |
|
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|
3588 Py_DECREF(div); |
|
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|
3589 Py_DECREF(mod); |
|
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|
3590 } |
|
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|
3591 return z; |
| 230 | 3592 } |
| 3593 | |
|
33327
5452d4ecddd0
SF patch 936813: fast modular exponentiation
Tim Peters <tim.peters@gmail.com>
parents:
33325
diff
changeset
|
3594 /* pow(v, w, x) */ |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
3595 static PyObject * |
|
15725
8e402aeca0a3
Make long a new style number type. Sequence repeat is now done here
Neil Schemenauer <nascheme@enme.ucalgary.ca>
parents:
15318
diff
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|
3596 long_pow(PyObject *v, PyObject *w, PyObject *x) |
| 230 | 3597 { |
|
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|
3598 PyLongObject *a, *b, *c; /* a,b,c = v,w,x */ |
|
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|
3599 int negativeOutput = 0; /* if x<0 return negative output */ |
|
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|
3600 |
|
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|
3601 PyLongObject *z = NULL; /* accumulated result */ |
|
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|
3602 Py_ssize_t i, j, k; /* counters */ |
|
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|
3603 PyLongObject *temp = NULL; |
|
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|
3604 |
|
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|
3605 /* 5-ary values. If the exponent is large enough, table is |
|
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|
3606 * precomputed so that table[i] == a**i % c for i in range(32). |
|
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|
3607 */ |
|
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|
3608 PyLongObject *table[32] = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, |
|
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|
3609 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}; |
|
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|
3610 |
|
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|
3611 /* a, b, c = v, w, x */ |
|
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|
3612 CHECK_BINOP(v, w); |
|
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|
3613 a = (PyLongObject*)v; Py_INCREF(a); |
|
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|
3614 b = (PyLongObject*)w; Py_INCREF(b); |
|
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|
3615 if (PyLong_Check(x)) { |
|
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|
3616 c = (PyLongObject *)x; |
|
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|
3617 Py_INCREF(x); |
|
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|
3618 } |
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|
3619 else if (x == Py_None) |
|
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|
3620 c = NULL; |
|
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|
3621 else { |
|
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|
3622 Py_DECREF(a); |
|
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|
3623 Py_DECREF(b); |
|
71810
d0b0fcbb40db
Replace Py_NotImplemented returns with the macro form Py_RETURN_NOTIMPLEMENTED.
Brian Curtin <brian@python.org>
parents:
68586
diff
changeset
|
3624 Py_RETURN_NOTIMPLEMENTED; |
|
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|
3625 } |
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|
3626 |
|
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|
3627 if (Py_SIZE(b) < 0) { /* if exponent is negative */ |
|
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|
3628 if (c) { |
|
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|
3629 PyErr_SetString(PyExc_TypeError, "pow() 2nd argument " |
|
61491
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|
3630 "cannot be negative when 3rd argument specified"); |
|
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|
3631 goto Error; |
|
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|
3632 } |
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|
3633 else { |
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|
3634 /* else return a float. This works because we know |
|
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|
3635 that this calls float_pow() which converts its |
|
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|
3636 arguments to double. */ |
|
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|
3637 Py_DECREF(a); |
|
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|
3638 Py_DECREF(b); |
|
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|
3639 return PyFloat_Type.tp_as_number->nb_power(v, w, x); |
|
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|
3640 } |
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|
3641 } |
|
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|
3642 |
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|
3643 if (c) { |
|
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|
3644 /* if modulus == 0: |
|
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|
3645 raise ValueError() */ |
|
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|
3646 if (Py_SIZE(c) == 0) { |
|
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|
3647 PyErr_SetString(PyExc_ValueError, |
|
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|
3648 "pow() 3rd argument cannot be 0"); |
|
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|
3649 goto Error; |
|
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|
3650 } |
|
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|
3651 |
|
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|
3652 /* if modulus < 0: |
|
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|
3653 negativeOutput = True |
|
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|
3654 modulus = -modulus */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3655 if (Py_SIZE(c) < 0) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3656 negativeOutput = 1; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3657 temp = (PyLongObject *)_PyLong_Copy(c); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3658 if (temp == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3659 goto Error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3660 Py_DECREF(c); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3661 c = temp; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3662 temp = NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3663 NEGATE(c); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3664 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3665 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3666 /* if modulus == 1: |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3667 return 0 */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3668 if ((Py_SIZE(c) == 1) && (c->ob_digit[0] == 1)) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3669 z = (PyLongObject *)PyLong_FromLong(0L); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3670 goto Done; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3671 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3672 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3673 /* if base < 0: |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3674 base = base % modulus |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3675 Having the base positive just makes things easier. */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3676 if (Py_SIZE(a) < 0) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3677 if (l_divmod(a, c, NULL, &temp) < 0) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3678 goto Error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3679 Py_DECREF(a); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3680 a = temp; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3681 temp = NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3682 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3683 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3684 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3685 /* At this point a, b, and c are guaranteed non-negative UNLESS |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3686 c is NULL, in which case a may be negative. */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3687 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3688 z = (PyLongObject *)PyLong_FromLong(1L); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3689 if (z == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3690 goto Error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3691 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3692 /* Perform a modular reduction, X = X % c, but leave X alone if c |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3693 * is NULL. |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3694 */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3695 #define REDUCE(X) \ |
|
61492
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3696 do { \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3697 if (c != NULL) { \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3698 if (l_divmod(X, c, NULL, &temp) < 0) \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3699 goto Error; \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3700 Py_XDECREF(X); \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3701 X = temp; \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3702 temp = NULL; \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3703 } \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3704 } while(0) |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3705 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3706 /* Multiply two values, then reduce the result: |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3707 result = X*Y % c. If c is NULL, skip the mod. */ |
|
61492
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3708 #define MULT(X, Y, result) \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3709 do { \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3710 temp = (PyLongObject *)long_mul(X, Y); \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3711 if (temp == NULL) \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3712 goto Error; \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3713 Py_XDECREF(result); \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3714 result = temp; \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3715 temp = NULL; \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3716 REDUCE(result); \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3717 } while(0) |
|
33327
5452d4ecddd0
SF patch 936813: fast modular exponentiation
Tim Peters <tim.peters@gmail.com>
parents:
33325
diff
changeset
|
3718 |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3719 if (Py_SIZE(b) <= FIVEARY_CUTOFF) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3720 /* Left-to-right binary exponentiation (HAC Algorithm 14.79) */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3721 /* http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3722 for (i = Py_SIZE(b) - 1; i >= 0; --i) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3723 digit bi = b->ob_digit[i]; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3724 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3725 for (j = (digit)1 << (PyLong_SHIFT-1); j != 0; j >>= 1) { |
|
61492
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3726 MULT(z, z, z); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3727 if (bi & j) |
|
61492
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3728 MULT(z, a, z); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3729 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3730 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3731 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3732 else { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3733 /* Left-to-right 5-ary exponentiation (HAC Algorithm 14.82) */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3734 Py_INCREF(z); /* still holds 1L */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3735 table[0] = z; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3736 for (i = 1; i < 32; ++i) |
|
61492
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3737 MULT(table[i-1], a, table[i]); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3738 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3739 for (i = Py_SIZE(b) - 1; i >= 0; --i) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3740 const digit bi = b->ob_digit[i]; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3741 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3742 for (j = PyLong_SHIFT - 5; j >= 0; j -= 5) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3743 const int index = (bi >> j) & 0x1f; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3744 for (k = 0; k < 5; ++k) |
|
61492
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3745 MULT(z, z, z); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3746 if (index) |
|
61492
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3747 MULT(z, table[index], z); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3748 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3749 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3750 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3751 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3752 if (negativeOutput && (Py_SIZE(z) != 0)) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3753 temp = (PyLongObject *)long_sub(z, c); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3754 if (temp == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3755 goto Error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3756 Py_DECREF(z); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3757 z = temp; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3758 temp = NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3759 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3760 goto Done; |
|
33327
5452d4ecddd0
SF patch 936813: fast modular exponentiation
Tim Peters <tim.peters@gmail.com>
parents:
33325
diff
changeset
|
3761 |
|
61491
829a86e11bd7
Merged revisions 81036 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61466
diff
changeset
|
3762 Error: |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3763 if (z != NULL) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3764 Py_DECREF(z); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3765 z = NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3766 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3767 /* fall through */ |
|
61491
829a86e11bd7
Merged revisions 81036 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61466
diff
changeset
|
3768 Done: |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3769 if (Py_SIZE(b) > FIVEARY_CUTOFF) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3770 for (i = 0; i < 32; ++i) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3771 Py_XDECREF(table[i]); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3772 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3773 Py_DECREF(a); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3774 Py_DECREF(b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3775 Py_XDECREF(c); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3776 Py_XDECREF(temp); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3777 return (PyObject *)z; |
| 230 | 3778 } |
| 3779 | |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
3780 static PyObject * |
|
13406
a503af7e7fb7
Some cleanup of longs in prepartion for Cray J90 fixes: got
Tim Peters <tim.peters@gmail.com>
parents:
13256
diff
changeset
|
3781 long_invert(PyLongObject *v) |
| 230 | 3782 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3783 /* Implement ~x as -(x+1) */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3784 PyLongObject *x; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3785 PyLongObject *w; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3786 if (ABS(Py_SIZE(v)) <=1) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3787 return PyLong_FromLong(-(MEDIUM_VALUE(v)+1)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3788 w = (PyLongObject *)PyLong_FromLong(1L); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3789 if (w == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3790 return NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3791 x = (PyLongObject *) long_add(v, w); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3792 Py_DECREF(w); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3793 if (x == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3794 return NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3795 Py_SIZE(x) = -(Py_SIZE(x)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3796 return (PyObject *)maybe_small_long(x); |
| 230 | 3797 } |
| 3798 | |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
3799 static PyObject * |
|
13406
a503af7e7fb7
Some cleanup of longs in prepartion for Cray J90 fixes: got
Tim Peters <tim.peters@gmail.com>
parents:
13256
diff
changeset
|
3800 long_neg(PyLongObject *v) |
|
443
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
3801 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3802 PyLongObject *z; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3803 if (ABS(Py_SIZE(v)) <= 1) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3804 return PyLong_FromLong(-MEDIUM_VALUE(v)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3805 z = (PyLongObject *)_PyLong_Copy(v); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3806 if (z != NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3807 Py_SIZE(z) = -(Py_SIZE(v)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3808 return (PyObject *)z; |
|
443
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
3809 } |
|
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
3810 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
3811 static PyObject * |
|
13406
a503af7e7fb7
Some cleanup of longs in prepartion for Cray J90 fixes: got
Tim Peters <tim.peters@gmail.com>
parents:
13256
diff
changeset
|
3812 long_abs(PyLongObject *v) |
| 230 | 3813 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3814 if (Py_SIZE(v) < 0) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3815 return long_neg(v); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3816 else |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3817 return long_long((PyObject *)v); |
| 230 | 3818 } |
| 3819 | |
| 242 | 3820 static int |
|
40401
88133417dfd0
- patch #1600346 submitted by Tomer Filiba
Jack Diederich <jackdied@gmail.com>
parents:
39703
diff
changeset
|
3821 long_bool(PyLongObject *v) |
| 242 | 3822 { |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3823 return Py_SIZE(v) != 0; |
|
443
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
3824 } |
|
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
3825 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
3826 static PyObject * |
| 43313 | 3827 long_rshift(PyLongObject *a, PyLongObject *b) |
|
443
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
3828 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3829 PyLongObject *z = NULL; |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3830 Py_ssize_t shiftby, newsize, wordshift, loshift, hishift, i, j; |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3831 digit lomask, himask; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3832 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3833 CHECK_BINOP(a, b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3834 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3835 if (Py_SIZE(a) < 0) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3836 /* Right shifting negative numbers is harder */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3837 PyLongObject *a1, *a2; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3838 a1 = (PyLongObject *) long_invert(a); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3839 if (a1 == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3840 goto rshift_error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3841 a2 = (PyLongObject *) long_rshift(a1, b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3842 Py_DECREF(a1); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3843 if (a2 == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3844 goto rshift_error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3845 z = (PyLongObject *) long_invert(a2); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3846 Py_DECREF(a2); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3847 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3848 else { |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3849 shiftby = PyLong_AsSsize_t((PyObject *)b); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3850 if (shiftby == -1L && PyErr_Occurred()) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3851 goto rshift_error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3852 if (shiftby < 0) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3853 PyErr_SetString(PyExc_ValueError, |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3854 "negative shift count"); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3855 goto rshift_error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3856 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3857 wordshift = shiftby / PyLong_SHIFT; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3858 newsize = ABS(Py_SIZE(a)) - wordshift; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3859 if (newsize <= 0) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3860 return PyLong_FromLong(0); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3861 loshift = shiftby % PyLong_SHIFT; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3862 hishift = PyLong_SHIFT - loshift; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3863 lomask = ((digit)1 << hishift) - 1; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3864 himask = PyLong_MASK ^ lomask; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3865 z = _PyLong_New(newsize); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3866 if (z == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3867 goto rshift_error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3868 if (Py_SIZE(a) < 0) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3869 Py_SIZE(z) = -(Py_SIZE(z)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3870 for (i = 0, j = wordshift; i < newsize; i++, j++) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3871 z->ob_digit[i] = (a->ob_digit[j] >> loshift) & lomask; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3872 if (i+1 < newsize) |
|
61491
829a86e11bd7
Merged revisions 81036 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61466
diff
changeset
|
3873 z->ob_digit[i] |= (a->ob_digit[j+1] << hishift) & himask; |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3874 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3875 z = long_normalize(z); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3876 } |
|
61491
829a86e11bd7
Merged revisions 81036 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61466
diff
changeset
|
3877 rshift_error: |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3878 return (PyObject *) maybe_small_long(z); |
|
15725
8e402aeca0a3
Make long a new style number type. Sequence repeat is now done here
Neil Schemenauer <nascheme@enme.ucalgary.ca>
parents:
15318
diff
changeset
|
3879 |
|
443
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
3880 } |
|
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
3881 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
3882 static PyObject * |
|
15725
8e402aeca0a3
Make long a new style number type. Sequence repeat is now done here
Neil Schemenauer <nascheme@enme.ucalgary.ca>
parents:
15318
diff
changeset
|
3883 long_lshift(PyObject *v, PyObject *w) |
|
443
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
3884 { |
|
61467
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|
3885 /* This version due to Tim Peters */ |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
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|
3886 PyLongObject *a = (PyLongObject*)v; |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
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|
3887 PyLongObject *b = (PyLongObject*)w; |
|
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|
3888 PyLongObject *z = NULL; |
|
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|
3889 Py_ssize_t shiftby, oldsize, newsize, wordshift, remshift, i, j; |
|
61467
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|
3890 twodigits accum; |
|
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|
3891 |
|
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|
3892 CHECK_BINOP(a, b); |
|
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|
3893 |
|
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|
3894 shiftby = PyLong_AsSsize_t((PyObject *)b); |
|
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|
3895 if (shiftby == -1L && PyErr_Occurred()) |
|
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|
3896 goto lshift_error; |
|
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|
3897 if (shiftby < 0) { |
|
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|
3898 PyErr_SetString(PyExc_ValueError, "negative shift count"); |
|
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|
3899 goto lshift_error; |
|
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|
3900 } |
|
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|
3901 /* wordshift, remshift = divmod(shiftby, PyLong_SHIFT) */ |
|
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|
3902 wordshift = shiftby / PyLong_SHIFT; |
|
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|
3903 remshift = shiftby - wordshift * PyLong_SHIFT; |
|
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|
3904 |
|
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|
3905 oldsize = ABS(Py_SIZE(a)); |
|
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|
3906 newsize = oldsize + wordshift; |
|
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|
3907 if (remshift) |
|
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|
3908 ++newsize; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
3909 z = _PyLong_New(newsize); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
3910 if (z == NULL) |
|
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|
3911 goto lshift_error; |
|
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|
3912 if (Py_SIZE(a) < 0) |
|
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|
3913 NEGATE(z); |
|
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|
3914 for (i = 0; i < wordshift; i++) |
|
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|
3915 z->ob_digit[i] = 0; |
|
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|
3916 accum = 0; |
|
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|
3917 for (i = wordshift, j = 0; j < oldsize; i++, j++) { |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
3918 accum |= (twodigits)a->ob_digit[j] << remshift; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
3919 z->ob_digit[i] = (digit)(accum & PyLong_MASK); |
|
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|
3920 accum >>= PyLong_SHIFT; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
3921 } |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
3922 if (remshift) |
|
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|
3923 z->ob_digit[newsize-1] = (digit)accum; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
3924 else |
|
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changeset
|
3925 assert(!accum); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
3926 z = long_normalize(z); |
|
61491
829a86e11bd7
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Mark Dickinson <dickinsm@gmail.com>
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|
3927 lshift_error: |
|
61467
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changeset
|
3928 return (PyObject *) maybe_small_long(z); |
|
443
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
3929 } |
|
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
3930 |
|
56734
4834a4285411
Merged revisions 75697 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
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diff
changeset
|
3931 /* Compute two's complement of digit vector a[0:m], writing result to |
|
4834a4285411
Merged revisions 75697 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
3932 z[0:m]. The digit vector a need not be normalized, but should not |
|
4834a4285411
Merged revisions 75697 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
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|
3933 be entirely zero. a and z may point to the same digit vector. */ |
|
4834a4285411
Merged revisions 75697 via svnmerge from
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parents:
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changeset
|
3934 |
|
4834a4285411
Merged revisions 75697 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
3935 static void |
|
4834a4285411
Merged revisions 75697 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
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diff
changeset
|
3936 v_complement(digit *z, digit *a, Py_ssize_t m) |
|
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|
3937 { |
|
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|
3938 Py_ssize_t i; |
|
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|
3939 digit carry = 1; |
|
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|
3940 for (i = 0; i < m; ++i) { |
|
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|
3941 carry += a[i] ^ PyLong_MASK; |
|
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|
3942 z[i] = carry & PyLong_MASK; |
|
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|
3943 carry >>= PyLong_SHIFT; |
|
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|
3944 } |
|
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|
3945 assert(carry == 0); |
|
56734
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|
3946 } |
|
590
f11fae8ee1e4
Changed to 2's complement bitwise ops. Got rid of ZABS etc.
Guido van Rossum <guido@python.org>
parents:
546
diff
changeset
|
3947 |
|
f11fae8ee1e4
Changed to 2's complement bitwise ops. Got rid of ZABS etc.
Guido van Rossum <guido@python.org>
parents:
546
diff
changeset
|
3948 /* Bitwise and/xor/or operations */ |
|
f11fae8ee1e4
Changed to 2's complement bitwise ops. Got rid of ZABS etc.
Guido van Rossum <guido@python.org>
parents:
546
diff
changeset
|
3949 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
3950 static PyObject * |
|
13406
a503af7e7fb7
Some cleanup of longs in prepartion for Cray J90 fixes: got
Tim Peters <tim.peters@gmail.com>
parents:
13256
diff
changeset
|
3951 long_bitwise(PyLongObject *a, |
|
61467
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|
3952 int op, /* '&', '|', '^' */ |
|
61491
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|
3953 PyLongObject *b) |
|
443
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
3954 { |
|
61466
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|
3955 int nega, negb, negz; |
|
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|
3956 Py_ssize_t size_a, size_b, size_z, i; |
|
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|
3957 PyLongObject *z; |
|
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|
3958 |
|
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|
3959 /* Bitwise operations for negative numbers operate as though |
|
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|
3960 on a two's complement representation. So convert arguments |
|
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|
3961 from sign-magnitude to two's complement, and convert the |
|
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|
3962 result back to sign-magnitude at the end. */ |
|
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|
3963 |
|
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|
3964 /* If a is negative, replace it by its two's complement. */ |
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|
3965 size_a = ABS(Py_SIZE(a)); |
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|
3966 nega = Py_SIZE(a) < 0; |
|
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|
3967 if (nega) { |
|
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|
3968 z = _PyLong_New(size_a); |
|
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|
3969 if (z == NULL) |
|
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|
3970 return NULL; |
|
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|
3971 v_complement(z->ob_digit, a->ob_digit, size_a); |
|
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|
3972 a = z; |
|
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|
3973 } |
|
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|
3974 else |
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|
3975 /* Keep reference count consistent. */ |
|
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|
3976 Py_INCREF(a); |
|
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|
3977 |
|
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|
3978 /* Same for b. */ |
|
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|
3979 size_b = ABS(Py_SIZE(b)); |
|
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|
3980 negb = Py_SIZE(b) < 0; |
|
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|
3981 if (negb) { |
|
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|
3982 z = _PyLong_New(size_b); |
|
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|
3983 if (z == NULL) { |
|
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|
3984 Py_DECREF(a); |
|
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|
3985 return NULL; |
|
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|
3986 } |
|
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|
3987 v_complement(z->ob_digit, b->ob_digit, size_b); |
|
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Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3988 b = z; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3989 } |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3990 else |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3991 Py_INCREF(b); |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3992 |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3993 /* Swap a and b if necessary to ensure size_a >= size_b. */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3994 if (size_a < size_b) { |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3995 z = a; a = b; b = z; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3996 size_z = size_a; size_a = size_b; size_b = size_z; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3997 negz = nega; nega = negb; negb = negz; |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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60446
diff
changeset
|
3998 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3999 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4000 /* JRH: The original logic here was to allocate the result value (z) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4001 as the longer of the two operands. However, there are some cases |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4002 where the result is guaranteed to be shorter than that: AND of two |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4003 positives, OR of two negatives: use the shorter number. AND with |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
4004 mixed signs: use the positive number. OR with mixed signs: use the |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4005 negative number. |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4006 */ |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4007 switch (op) { |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4008 case '^': |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4009 negz = nega ^ negb; |
|
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Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4010 size_z = size_a; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4011 break; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4012 case '&': |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4013 negz = nega & negb; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4014 size_z = negb ? size_a : size_b; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4015 break; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4016 case '|': |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4017 negz = nega | negb; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4018 size_z = negb ? size_b : size_a; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4019 break; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4020 default: |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4021 PyErr_BadArgument(); |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4022 return NULL; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4023 } |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4024 |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
4025 /* We allow an extra digit if z is negative, to make sure that |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4026 the final two's complement of z doesn't overflow. */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4027 z = _PyLong_New(size_z + negz); |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4028 if (z == NULL) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4029 Py_DECREF(a); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4030 Py_DECREF(b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
4031 return NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
4032 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4033 |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4034 /* Compute digits for overlap of a and b. */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4035 switch(op) { |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4036 case '&': |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4037 for (i = 0; i < size_b; ++i) |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4038 z->ob_digit[i] = a->ob_digit[i] & b->ob_digit[i]; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
4039 break; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4040 case '|': |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4041 for (i = 0; i < size_b; ++i) |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4042 z->ob_digit[i] = a->ob_digit[i] | b->ob_digit[i]; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
4043 break; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4044 case '^': |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
4045 for (i = 0; i < size_b; ++i) |
|
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Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
4046 z->ob_digit[i] = a->ob_digit[i] ^ b->ob_digit[i]; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4047 break; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
4048 default: |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4049 PyErr_BadArgument(); |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4050 return NULL; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
4051 } |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4052 |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4053 /* Copy any remaining digits of a, inverting if necessary. */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4054 if (op == '^' && negb) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
4055 for (; i < size_z; ++i) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
61397
diff
changeset
|
4056 z->ob_digit[i] = a->ob_digit[i] ^ PyLong_MASK; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4057 else if (i < size_z) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
4058 memcpy(&z->ob_digit[i], &a->ob_digit[i], |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4059 (size_z-i)*sizeof(digit)); |
|
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Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
4060 |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
4061 /* Complement result if negative. */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4062 if (negz) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4063 Py_SIZE(z) = -(Py_SIZE(z)); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4064 z->ob_digit[size_z] = PyLong_MASK; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4065 v_complement(z->ob_digit, z->ob_digit, size_z+1); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4066 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4067 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
4068 Py_DECREF(a); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4069 Py_DECREF(b); |
|
61466
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4070 return (PyObject *)maybe_small_long(long_normalize(z)); |
|
443
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
4071 } |
|
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
4072 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
4073 static PyObject * |
| 43313 | 4074 long_and(PyObject *a, PyObject *b) |
|
443
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
4075 { |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4076 PyObject *c; |
|
f197407bdba2
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diff
changeset
|
4077 CHECK_BINOP(a, b); |
|
f197407bdba2
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diff
changeset
|
4078 c = long_bitwise((PyLongObject*)a, '&', (PyLongObject*)b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4079 return c; |
|
443
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
4080 } |
|
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
4081 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
4082 static PyObject * |
| 43313 | 4083 long_xor(PyObject *a, PyObject *b) |
|
443
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
4084 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4085 PyObject *c; |
|
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diff
changeset
|
4086 CHECK_BINOP(a, b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4087 c = long_bitwise((PyLongObject*)a, '^', (PyLongObject*)b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
4088 return c; |
|
443
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
4089 } |
|
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
4090 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
4091 static PyObject * |
| 43313 | 4092 long_or(PyObject *a, PyObject *b) |
|
443
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
4093 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4094 PyObject *c; |
|
f197407bdba2
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diff
changeset
|
4095 CHECK_BINOP(a, b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4096 c = long_bitwise((PyLongObject*)a, '|', (PyLongObject*)b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4097 return c; |
| 242 | 4098 } |
| 4099 | |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
4100 static PyObject * |
|
26291
d31ddc66b1b5
Change int() so that passing a string, unicode, float or long argument
Walter Dörwald <walter@livinglogic.de>
parents:
26081
diff
changeset
|
4101 long_long(PyObject *v) |
|
d31ddc66b1b5
Change int() so that passing a string, unicode, float or long argument
Walter Dörwald <walter@livinglogic.de>
parents:
26081
diff
changeset
|
4102 { |
|
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|
4103 if (PyLong_CheckExact(v)) |
|
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|
4104 Py_INCREF(v); |
|
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|
4105 else |
|
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|
4106 v = _PyLong_Copy((PyLongObject *)v); |
|
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|
4107 return v; |
|
26291
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Change int() so that passing a string, unicode, float or long argument
Walter Dörwald <walter@livinglogic.de>
parents:
26081
diff
changeset
|
4108 } |
|
d31ddc66b1b5
Change int() so that passing a string, unicode, float or long argument
Walter Dörwald <walter@livinglogic.de>
parents:
26081
diff
changeset
|
4109 |
|
d31ddc66b1b5
Change int() so that passing a string, unicode, float or long argument
Walter Dörwald <walter@livinglogic.de>
parents:
26081
diff
changeset
|
4110 static PyObject * |
|
13406
a503af7e7fb7
Some cleanup of longs in prepartion for Cray J90 fixes: got
Tim Peters <tim.peters@gmail.com>
parents:
13256
diff
changeset
|
4111 long_float(PyObject *v) |
|
1049
2ed511171809
Made builtins int(), long(), float(), oct() and hex() more generic.
Guido van Rossum <guido@python.org>
parents:
958
diff
changeset
|
4112 { |
|
61467
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|
4113 double result; |
|
f197407bdba2
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|
4114 result = PyLong_AsDouble(v); |
|
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|
4115 if (result == -1.0 && PyErr_Occurred()) |
|
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|
4116 return NULL; |
|
f197407bdba2
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|
4117 return PyFloat_FromDouble(result); |
|
1049
2ed511171809
Made builtins int(), long(), float(), oct() and hex() more generic.
Guido van Rossum <guido@python.org>
parents:
958
diff
changeset
|
4118 } |
|
2ed511171809
Made builtins int(), long(), float(), oct() and hex() more generic.
Guido van Rossum <guido@python.org>
parents:
958
diff
changeset
|
4119 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
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|
4120 static PyObject * |
|
19552
6c30d20d27f2
Make int, long and float subclassable.
Guido van Rossum <guido@python.org>
parents:
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|
4121 long_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds); |
|
1049
2ed511171809
Made builtins int(), long(), float(), oct() and hex() more generic.
Guido van Rossum <guido@python.org>
parents:
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|
4122 |
|
18933
09df3254b49d
Merge of descr-branch back into trunk.
Tim Peters <tim.peters@gmail.com>
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|
4123 static PyObject * |
|
09df3254b49d
Merge of descr-branch back into trunk.
Tim Peters <tim.peters@gmail.com>
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|
4124 long_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
|
09df3254b49d
Merge of descr-branch back into trunk.
Tim Peters <tim.peters@gmail.com>
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|
4125 { |
|
61940
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
61924
diff
changeset
|
4126 PyObject *obase = NULL, *x = NULL; |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
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|
4127 long base; |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
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|
4128 int overflow; |
|
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|
4129 static char *kwlist[] = {"x", "base", 0}; |
|
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4130 |
|
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4131 if (type != &PyLong_Type) |
|
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4132 return long_subtype_new(type, args, kwds); /* Wimp out */ |
|
61940
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Mark Dickinson <dickinsm@gmail.com>
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|
4133 if (!PyArg_ParseTupleAndKeywords(args, kwds, "|OO:int", kwlist, |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
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|
4134 &x, &obase)) |
|
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|
4135 return NULL; |
|
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|
4136 if (x == NULL) |
|
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|
4137 return PyLong_FromLong(0L); |
|
61940
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Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
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|
4138 if (obase == NULL) |
|
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|
4139 return PyNumber_Long(x); |
|
61940
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Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
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|
4140 |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
4141 base = PyLong_AsLongAndOverflow(obase, &overflow); |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
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|
4142 if (base == -1 && PyErr_Occurred()) |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
4143 return NULL; |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
61924
diff
changeset
|
4144 if (overflow || (base != 0 && base < 2) || base > 36) { |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
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changeset
|
4145 PyErr_SetString(PyExc_ValueError, |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
61924
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|
4146 "int() arg 2 must be >= 2 and <= 36"); |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
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|
4147 return NULL; |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
61924
diff
changeset
|
4148 } |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
61924
diff
changeset
|
4149 |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
61924
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|
4150 if (PyUnicode_Check(x)) |
| 72475 | 4151 return PyLong_FromUnicodeObject(x, (int)base); |
|
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4152 else if (PyByteArray_Check(x) || PyBytes_Check(x)) { |
|
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|
4153 /* Since PyLong_FromString doesn't have a length parameter, |
|
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|
4154 * check here for possible NULs in the string. */ |
|
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|
4155 char *string; |
|
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|
4156 Py_ssize_t size = Py_SIZE(x); |
|
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|
4157 if (PyByteArray_Check(x)) |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4158 string = PyByteArray_AS_STRING(x); |
|
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|
4159 else |
|
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|
4160 string = PyBytes_AS_STRING(x); |
|
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|
4161 if (strlen(string) != (size_t)size) { |
|
f197407bdba2
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|
4162 /* We only see this if there's a null byte in x, |
|
f197407bdba2
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|
4163 x is a bytes or buffer, *and* a base is given. */ |
|
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|
4164 PyErr_Format(PyExc_ValueError, |
|
61491
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|
4165 "invalid literal for int() with base %d: %R", |
|
61940
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Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
61924
diff
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|
4166 (int)base, x); |
|
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|
4167 return NULL; |
|
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|
4168 } |
|
61940
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Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
61924
diff
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|
4169 return PyLong_FromString(string, NULL, (int)base); |
|
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|
4170 } |
|
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|
4171 else { |
|
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|
4172 PyErr_SetString(PyExc_TypeError, |
|
61491
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|
4173 "int() can't convert non-string with explicit base"); |
|
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|
4174 return NULL; |
|
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|
4175 } |
|
18933
09df3254b49d
Merge of descr-branch back into trunk.
Tim Peters <tim.peters@gmail.com>
parents:
18607
diff
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|
4176 } |
|
09df3254b49d
Merge of descr-branch back into trunk.
Tim Peters <tim.peters@gmail.com>
parents:
18607
diff
changeset
|
4177 |
|
19552
6c30d20d27f2
Make int, long and float subclassable.
Guido van Rossum <guido@python.org>
parents:
19343
diff
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|
4178 /* Wimpy, slow approach to tp_new calls for subtypes of long: |
|
6c30d20d27f2
Make int, long and float subclassable.
Guido van Rossum <guido@python.org>
parents:
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diff
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|
4179 first create a regular long from whatever arguments we got, |
|
6c30d20d27f2
Make int, long and float subclassable.
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diff
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|
4180 then allocate a subtype instance and initialize it from |
|
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Make int, long and float subclassable.
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|
4181 the regular long. The regular long is then thrown away. |
|
6c30d20d27f2
Make int, long and float subclassable.
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diff
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|
4182 */ |
|
6c30d20d27f2
Make int, long and float subclassable.
Guido van Rossum <guido@python.org>
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diff
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|
4183 static PyObject * |
|
6c30d20d27f2
Make int, long and float subclassable.
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19343
diff
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|
4184 long_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
|
6c30d20d27f2
Make int, long and float subclassable.
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|
4185 { |
|
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4186 PyLongObject *tmp, *newobj; |
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4187 Py_ssize_t i, n; |
|
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4188 |
|
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|
4189 assert(PyType_IsSubtype(type, &PyLong_Type)); |
|
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4190 tmp = (PyLongObject *)long_new(&PyLong_Type, args, kwds); |
|
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4191 if (tmp == NULL) |
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4192 return NULL; |
|
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|
4193 assert(PyLong_CheckExact(tmp)); |
|
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4194 n = Py_SIZE(tmp); |
|
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4195 if (n < 0) |
|
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4196 n = -n; |
|
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4197 newobj = (PyLongObject *)type->tp_alloc(type, n); |
|
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4198 if (newobj == NULL) { |
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|
4199 Py_DECREF(tmp); |
|
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4200 return NULL; |
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4201 } |
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4202 assert(PyLong_Check(newobj)); |
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4203 Py_SIZE(newobj) = Py_SIZE(tmp); |
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4204 for (i = 0; i < n; i++) |
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4205 newobj->ob_digit[i] = tmp->ob_digit[i]; |
|
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4206 Py_DECREF(tmp); |
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changeset
|
4207 return (PyObject *)newobj; |
|
19552
6c30d20d27f2
Make int, long and float subclassable.
Guido van Rossum <guido@python.org>
parents:
19343
diff
changeset
|
4208 } |
|
6c30d20d27f2
Make int, long and float subclassable.
Guido van Rossum <guido@python.org>
parents:
19343
diff
changeset
|
4209 |
|
27521
17bfd5dbc0f1
Implement appropriate __getnewargs__ for all immutable subclassable builtin
Guido van Rossum <guido@python.org>
parents:
27487
diff
changeset
|
4210 static PyObject * |
|
17bfd5dbc0f1
Implement appropriate __getnewargs__ for all immutable subclassable builtin
Guido van Rossum <guido@python.org>
parents:
27487
diff
changeset
|
4211 long_getnewargs(PyLongObject *v) |
|
17bfd5dbc0f1
Implement appropriate __getnewargs__ for all immutable subclassable builtin
Guido van Rossum <guido@python.org>
parents:
27487
diff
changeset
|
4212 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4213 return Py_BuildValue("(N)", _PyLong_Copy(v)); |
|
27521
17bfd5dbc0f1
Implement appropriate __getnewargs__ for all immutable subclassable builtin
Guido van Rossum <guido@python.org>
parents:
27487
diff
changeset
|
4214 } |
|
17bfd5dbc0f1
Implement appropriate __getnewargs__ for all immutable subclassable builtin
Guido van Rossum <guido@python.org>
parents:
27487
diff
changeset
|
4215 |
|
42417
d3a5c796c8ba
Changes to long and float by Jeffrey Jasskin to conform to PEP 3141.
Guido van Rossum <guido@python.org>
parents:
42334
diff
changeset
|
4216 static PyObject * |
|
53676
903e80f3e811
Merged revisions 72202 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
53541
diff
changeset
|
4217 long_get0(PyLongObject *v, void *context) { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4218 return PyLong_FromLong(0L); |
|
53676
903e80f3e811
Merged revisions 72202 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
53541
diff
changeset
|
4219 } |
|
903e80f3e811
Merged revisions 72202 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
53541
diff
changeset
|
4220 |
|
903e80f3e811
Merged revisions 72202 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
53541
diff
changeset
|
4221 static PyObject * |
|
903e80f3e811
Merged revisions 72202 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
53541
diff
changeset
|
4222 long_get1(PyLongObject *v, void *context) { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4223 return PyLong_FromLong(1L); |
|
42417
d3a5c796c8ba
Changes to long and float by Jeffrey Jasskin to conform to PEP 3141.
Guido van Rossum <guido@python.org>
parents:
42334
diff
changeset
|
4224 } |
|
d3a5c796c8ba
Changes to long and float by Jeffrey Jasskin to conform to PEP 3141.
Guido van Rossum <guido@python.org>
parents:
42334
diff
changeset
|
4225 |
|
42753
077fe7860cc9
Finish the work on __round__ and __trunc__.
Guido van Rossum <guido@python.org>
parents:
42719
diff
changeset
|
4226 static PyObject * |
|
42817
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42753
diff
changeset
|
4227 long__format__(PyObject *self, PyObject *args) |
|
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42753
diff
changeset
|
4228 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4229 PyObject *format_spec; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4230 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4231 if (!PyArg_ParseTuple(args, "U:__format__", &format_spec)) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4232 return NULL; |
| 72475 | 4233 return _PyLong_FormatAdvanced(self, format_spec, 0, |
| 4234 PyUnicode_GET_LENGTH(format_spec)); | |
|
42817
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42753
diff
changeset
|
4235 } |
|
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42753
diff
changeset
|
4236 |
|
61924
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4237 /* Return a pair (q, r) such that a = b * q + r, and |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4238 abs(r) <= abs(b)/2, with equality possible only if q is even. |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4239 In other words, q == a / b, rounded to the nearest integer using |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4240 round-half-to-even. */ |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4241 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4242 PyObject * |
|
62154
0d9347934cc5
Fix naming inconsistency.
Mark Dickinson <dickinsm@gmail.com>
parents:
61940
diff
changeset
|
4243 _PyLong_DivmodNear(PyObject *a, PyObject *b) |
|
61924
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4244 { |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4245 PyLongObject *quo = NULL, *rem = NULL; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4246 PyObject *one = NULL, *twice_rem, *result, *temp; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4247 int cmp, quo_is_odd, quo_is_neg; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4248 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4249 /* Equivalent Python code: |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4250 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4251 def divmod_near(a, b): |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4252 q, r = divmod(a, b) |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4253 # round up if either r / b > 0.5, or r / b == 0.5 and q is odd. |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4254 # The expression r / b > 0.5 is equivalent to 2 * r > b if b is |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4255 # positive, 2 * r < b if b negative. |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4256 greater_than_half = 2*r > b if b > 0 else 2*r < b |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4257 exactly_half = 2*r == b |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4258 if greater_than_half or exactly_half and q % 2 == 1: |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4259 q += 1 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4260 r -= b |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4261 return q, r |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4262 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4263 */ |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4264 if (!PyLong_Check(a) || !PyLong_Check(b)) { |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4265 PyErr_SetString(PyExc_TypeError, |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4266 "non-integer arguments in division"); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4267 return NULL; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4268 } |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4269 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4270 /* Do a and b have different signs? If so, quotient is negative. */ |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4271 quo_is_neg = (Py_SIZE(a) < 0) != (Py_SIZE(b) < 0); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4272 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4273 one = PyLong_FromLong(1L); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4274 if (one == NULL) |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4275 return NULL; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4276 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4277 if (long_divrem((PyLongObject*)a, (PyLongObject*)b, &quo, &rem) < 0) |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4278 goto error; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4279 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4280 /* compare twice the remainder with the divisor, to see |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4281 if we need to adjust the quotient and remainder */ |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4282 twice_rem = long_lshift((PyObject *)rem, one); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4283 if (twice_rem == NULL) |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4284 goto error; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4285 if (quo_is_neg) { |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4286 temp = long_neg((PyLongObject*)twice_rem); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4287 Py_DECREF(twice_rem); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4288 twice_rem = temp; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4289 if (twice_rem == NULL) |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4290 goto error; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4291 } |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4292 cmp = long_compare((PyLongObject *)twice_rem, (PyLongObject *)b); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4293 Py_DECREF(twice_rem); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4294 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4295 quo_is_odd = Py_SIZE(quo) != 0 && ((quo->ob_digit[0] & 1) != 0); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4296 if ((Py_SIZE(b) < 0 ? cmp < 0 : cmp > 0) || (cmp == 0 && quo_is_odd)) { |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4297 /* fix up quotient */ |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4298 if (quo_is_neg) |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4299 temp = long_sub(quo, (PyLongObject *)one); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4300 else |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4301 temp = long_add(quo, (PyLongObject *)one); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4302 Py_DECREF(quo); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4303 quo = (PyLongObject *)temp; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4304 if (quo == NULL) |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4305 goto error; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4306 /* and remainder */ |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4307 if (quo_is_neg) |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4308 temp = long_add(rem, (PyLongObject *)b); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4309 else |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4310 temp = long_sub(rem, (PyLongObject *)b); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4311 Py_DECREF(rem); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4312 rem = (PyLongObject *)temp; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4313 if (rem == NULL) |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4314 goto error; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4315 } |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4316 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4317 result = PyTuple_New(2); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4318 if (result == NULL) |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4319 goto error; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4320 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4321 /* PyTuple_SET_ITEM steals references */ |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4322 PyTuple_SET_ITEM(result, 0, (PyObject *)quo); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4323 PyTuple_SET_ITEM(result, 1, (PyObject *)rem); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4324 Py_DECREF(one); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4325 return result; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4326 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4327 error: |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4328 Py_XDECREF(quo); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4329 Py_XDECREF(rem); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4330 Py_XDECREF(one); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4331 return NULL; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4332 } |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4333 |
|
42817
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42753
diff
changeset
|
4334 static PyObject * |
|
42753
077fe7860cc9
Finish the work on __round__ and __trunc__.
Guido van Rossum <guido@python.org>
parents:
42719
diff
changeset
|
4335 long_round(PyObject *self, PyObject *args) |
|
077fe7860cc9
Finish the work on __round__ and __trunc__.
Guido van Rossum <guido@python.org>
parents:
42719
diff
changeset
|
4336 { |
|
61924
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4337 PyObject *o_ndigits=NULL, *temp, *result, *ndigits; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4338 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4339 /* To round an integer m to the nearest 10**n (n positive), we make use of |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4340 * the divmod_near operation, defined by: |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4341 * |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4342 * divmod_near(a, b) = (q, r) |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4343 * |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4344 * where q is the nearest integer to the quotient a / b (the |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4345 * nearest even integer in the case of a tie) and r == a - q * b. |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4346 * Hence q * b = a - r is the nearest multiple of b to a, |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4347 * preferring even multiples in the case of a tie. |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4348 * |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4349 * So the nearest multiple of 10**n to m is: |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4350 * |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4351 * m - divmod_near(m, 10**n)[1]. |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4352 */ |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4353 if (!PyArg_ParseTuple(args, "|O", &o_ndigits)) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4354 return NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4355 if (o_ndigits == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4356 return long_long(self); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4357 |
|
61924
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4358 ndigits = PyNumber_Index(o_ndigits); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4359 if (ndigits == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4360 return NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4361 |
|
61924
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4362 /* if ndigits >= 0 then no rounding is necessary; return self unchanged */ |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4363 if (Py_SIZE(ndigits) >= 0) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4364 Py_DECREF(ndigits); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4365 return long_long(self); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4366 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4367 |
|
61924
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4368 /* result = self - divmod_near(self, 10 ** -ndigits)[1] */ |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4369 temp = long_neg((PyLongObject*)ndigits); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4370 Py_DECREF(ndigits); |
|
61924
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4371 ndigits = temp; |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4372 if (ndigits == NULL) |
|
61924
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4373 return NULL; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4374 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4375 result = PyLong_FromLong(10L); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4376 if (result == NULL) { |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4377 Py_DECREF(ndigits); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4378 return NULL; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4379 } |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4380 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4381 temp = long_pow(result, ndigits, Py_None); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4382 Py_DECREF(ndigits); |
|
61924
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4383 Py_DECREF(result); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4384 result = temp; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4385 if (result == NULL) |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4386 return NULL; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4387 |
|
62154
0d9347934cc5
Fix naming inconsistency.
Mark Dickinson <dickinsm@gmail.com>
parents:
61940
diff
changeset
|
4388 temp = _PyLong_DivmodNear(self, result); |
|
61924
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4389 Py_DECREF(result); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4390 result = temp; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4391 if (result == NULL) |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4392 return NULL; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4393 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4394 temp = long_sub((PyLongObject *)self, |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4395 (PyLongObject *)PyTuple_GET_ITEM(result, 1)); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4396 Py_DECREF(result); |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4397 result = temp; |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4398 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4399 return result; |
|
42753
077fe7860cc9
Finish the work on __round__ and __trunc__.
Guido van Rossum <guido@python.org>
parents:
42719
diff
changeset
|
4400 } |
|
077fe7860cc9
Finish the work on __round__ and __trunc__.
Guido van Rossum <guido@python.org>
parents:
42719
diff
changeset
|
4401 |
|
47466
58f4b60773fe
Merged revisions 63856-63857,63859-63860 via svnmerge from
Martin v. Löwis <martin@v.loewis.de>
parents:
47393
diff
changeset
|
4402 static PyObject * |
|
58f4b60773fe
Merged revisions 63856-63857,63859-63860 via svnmerge from
Martin v. Löwis <martin@v.loewis.de>
parents:
47393
diff
changeset
|
4403 long_sizeof(PyLongObject *v) |
|
58f4b60773fe
Merged revisions 63856-63857,63859-63860 via svnmerge from
Martin v. Löwis <martin@v.loewis.de>
parents:
47393
diff
changeset
|
4404 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4405 Py_ssize_t res; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4406 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
4407 res = offsetof(PyLongObject, ob_digit) + ABS(Py_SIZE(v))*sizeof(digit); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
4408 return PyLong_FromSsize_t(res); |
|
47466
58f4b60773fe
Merged revisions 63856-63857,63859-63860 via svnmerge from
Martin v. Löwis <martin@v.loewis.de>
parents:
47393
diff
changeset
|
4409 } |
|
58f4b60773fe
Merged revisions 63856-63857,63859-63860 via svnmerge from
Martin v. Löwis <martin@v.loewis.de>
parents:
47393
diff
changeset
|
4410 |
|
50207
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
50026
diff
changeset
|
4411 static PyObject * |
|
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
50026
diff
changeset
|
4412 long_bit_length(PyLongObject *v) |
|
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
50026
diff
changeset
|
4413 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
4414 PyLongObject *result, *x, *y; |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4415 Py_ssize_t ndigits, msd_bits = 0; |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
4416 digit msd; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4417 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4418 assert(v != NULL); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4419 assert(PyLong_Check(v)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4420 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
4421 ndigits = ABS(Py_SIZE(v)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4422 if (ndigits == 0) |
|
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Recorded merge of revisions 81032 via svnmerge from
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parents:
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changeset
|
4423 return PyLong_FromLong(0); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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|
4424 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4425 msd = v->ob_digit[ndigits-1]; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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changeset
|
4426 while (msd >= 32) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4427 msd_bits += 6; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
4428 msd >>= 6; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4429 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4430 msd_bits += (long)(BitLengthTable[msd]); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4431 |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4432 if (ndigits <= PY_SSIZE_T_MAX/PyLong_SHIFT) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4433 return PyLong_FromSsize_t((ndigits-1)*PyLong_SHIFT + msd_bits); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4434 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4435 /* expression above may overflow; use Python integers instead */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4436 result = (PyLongObject *)PyLong_FromSsize_t(ndigits - 1); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4437 if (result == NULL) |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4438 return NULL; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4439 x = (PyLongObject *)PyLong_FromLong(PyLong_SHIFT); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4440 if (x == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
4441 goto error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
4442 y = (PyLongObject *)long_mul(result, x); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4443 Py_DECREF(x); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4444 if (y == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4445 goto error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
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|
4446 Py_DECREF(result); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
4447 result = y; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4448 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4449 x = (PyLongObject *)PyLong_FromLong((long)msd_bits); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4450 if (x == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4451 goto error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4452 y = (PyLongObject *)long_add(result, x); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4453 Py_DECREF(x); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4454 if (y == NULL) |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4455 goto error; |
|
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|
4456 Py_DECREF(result); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4457 result = y; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4458 |
|
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|
4459 return (PyObject *)result; |
|
50207
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
4460 |
|
61491
829a86e11bd7
Merged revisions 81036 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
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|
4461 error: |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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|
4462 Py_DECREF(result); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4463 return NULL; |
|
50207
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Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
4464 } |
|
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
4465 |
|
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
50026
diff
changeset
|
4466 PyDoc_STRVAR(long_bit_length_doc, |
|
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
50026
diff
changeset
|
4467 "int.bit_length() -> int\n\ |
|
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
4468 \n\ |
|
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
50026
diff
changeset
|
4469 Number of bits necessary to represent self in binary.\n\ |
|
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
50026
diff
changeset
|
4470 >>> bin(37)\n\ |
|
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
50026
diff
changeset
|
4471 '0b100101'\n\ |
|
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
50026
diff
changeset
|
4472 >>> (37).bit_length()\n\ |
|
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
4473 6"); |
|
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
4474 |
|
46477
b69f443ef480
Merged revisions 62380,62382-62383 via svnmerge from
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changeset
|
4475 #if 0 |
|
b69f443ef480
Merged revisions 62380,62382-62383 via svnmerge from
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|
4476 static PyObject * |
|
b69f443ef480
Merged revisions 62380,62382-62383 via svnmerge from
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|
4477 long_is_finite(PyObject *v) |
|
b69f443ef480
Merged revisions 62380,62382-62383 via svnmerge from
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|
4478 { |
|
61467
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|
4479 Py_RETURN_TRUE; |
|
46477
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|
4480 } |
|
b69f443ef480
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|
4481 #endif |
|
b69f443ef480
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|
4482 |
|
58223
f9c0c411f80c
Issue #1023290: Added API for the conversion of longs to bytes and vice-versa.
Alexandre Vassalotti <alexandre@peadrop.com>
parents:
58088
diff
changeset
|
4483 |
|
f9c0c411f80c
Issue #1023290: Added API for the conversion of longs to bytes and vice-versa.
Alexandre Vassalotti <alexandre@peadrop.com>
parents:
58088
diff
changeset
|
4484 static PyObject * |
|
f9c0c411f80c
Issue #1023290: Added API for the conversion of longs to bytes and vice-versa.
Alexandre Vassalotti <alexandre@peadrop.com>
parents:
58088
diff
changeset
|
4485 long_to_bytes(PyLongObject *v, PyObject *args, PyObject *kwds) |
|
f9c0c411f80c
Issue #1023290: Added API for the conversion of longs to bytes and vice-versa.
Alexandre Vassalotti <alexandre@peadrop.com>
parents:
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diff
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|
4486 { |
|
61466
cab14be0ada1
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|
4487 PyObject *byteorder_str; |
|
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|
4488 PyObject *is_signed_obj = NULL; |
|
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|
4489 Py_ssize_t length; |
|
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|
4490 int little_endian; |
|
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|
4491 int is_signed; |
|
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|
4492 PyObject *bytes; |
|
cab14be0ada1
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|
4493 static char *kwlist[] = {"length", "byteorder", "signed", NULL}; |
|
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4494 |
|
cab14be0ada1
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|
4495 if (!PyArg_ParseTupleAndKeywords(args, kwds, "nU|O:to_bytes", kwlist, |
|
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|
4496 &length, &byteorder_str, |
|
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|
4497 &is_signed_obj)) |
|
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|
4498 return NULL; |
|
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|
4499 |
|
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|
4500 if (args != NULL && Py_SIZE(args) > 2) { |
|
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|
4501 PyErr_SetString(PyExc_TypeError, |
|
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|
4502 "'signed' is a keyword-only argument"); |
|
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|
4503 return NULL; |
|
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|
4504 } |
|
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|
4505 |
|
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|
4506 if (!PyUnicode_CompareWithASCIIString(byteorder_str, "little")) |
|
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|
4507 little_endian = 1; |
|
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|
4508 else if (!PyUnicode_CompareWithASCIIString(byteorder_str, "big")) |
|
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|
4509 little_endian = 0; |
|
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|
4510 else { |
|
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|
4511 PyErr_SetString(PyExc_ValueError, |
|
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|
4512 "byteorder must be either 'little' or 'big'"); |
|
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|
4513 return NULL; |
|
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|
4514 } |
|
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|
4515 |
|
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|
4516 if (is_signed_obj != NULL) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
4517 int cmp = PyObject_IsTrue(is_signed_obj); |
|
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|
4518 if (cmp < 0) |
|
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|
4519 return NULL; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
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|
4520 is_signed = cmp ? 1 : 0; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
4521 } |
|
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|
4522 else { |
|
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|
4523 /* If the signed argument was omitted, use False as the |
|
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|
4524 default. */ |
|
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|
4525 is_signed = 0; |
|
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|
4526 } |
|
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|
4527 |
|
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|
4528 if (length < 0) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
4529 PyErr_SetString(PyExc_ValueError, |
|
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|
4530 "length argument must be non-negative"); |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
4531 return NULL; |
|
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|
4532 } |
|
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|
4533 |
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|
4534 bytes = PyBytes_FromStringAndSize(NULL, length); |
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|
4535 if (bytes == NULL) |
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|
4536 return NULL; |
|
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|
4537 |
|
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4538 if (_PyLong_AsByteArray(v, (unsigned char *)PyBytes_AS_STRING(bytes), |
|
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|
4539 length, little_endian, is_signed) < 0) { |
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|
4540 Py_DECREF(bytes); |
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|
4541 return NULL; |
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|
4542 } |
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4543 |
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|
4544 return bytes; |
|
58223
f9c0c411f80c
Issue #1023290: Added API for the conversion of longs to bytes and vice-versa.
Alexandre Vassalotti <alexandre@peadrop.com>
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diff
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|
4545 } |
|
f9c0c411f80c
Issue #1023290: Added API for the conversion of longs to bytes and vice-versa.
Alexandre Vassalotti <alexandre@peadrop.com>
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|
4546 |
|
58596
5a7d7eeb88c1
Move docstrings for long.to_bytes and long.from_bytes after the corresponding functions.
Mark Dickinson <dickinsm@gmail.com>
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58582
diff
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|
4547 PyDoc_STRVAR(long_to_bytes_doc, |
|
5a7d7eeb88c1
Move docstrings for long.to_bytes and long.from_bytes after the corresponding functions.
Mark Dickinson <dickinsm@gmail.com>
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|
4548 "int.to_bytes(length, byteorder, *, signed=False) -> bytes\n\ |
|
58223
f9c0c411f80c
Issue #1023290: Added API for the conversion of longs to bytes and vice-versa.
Alexandre Vassalotti <alexandre@peadrop.com>
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|
4549 \n\ |
|
58596
5a7d7eeb88c1
Move docstrings for long.to_bytes and long.from_bytes after the corresponding functions.
Mark Dickinson <dickinsm@gmail.com>
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|
4550 Return an array of bytes representing an integer.\n\ |
|
58223
f9c0c411f80c
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Alexandre Vassalotti <alexandre@peadrop.com>
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|
4551 \n\ |
|
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|
4552 The integer is represented using length bytes. An OverflowError is\n\ |
|
58596
5a7d7eeb88c1
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Mark Dickinson <dickinsm@gmail.com>
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|
4553 raised if the integer is not representable with the given number of\n\ |
|
5a7d7eeb88c1
Move docstrings for long.to_bytes and long.from_bytes after the corresponding functions.
Mark Dickinson <dickinsm@gmail.com>
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|
4554 bytes.\n\ |
|
58223
f9c0c411f80c
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|
4555 \n\ |
|
f9c0c411f80c
Issue #1023290: Added API for the conversion of longs to bytes and vice-versa.
Alexandre Vassalotti <alexandre@peadrop.com>
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|
4556 The byteorder argument determines the byte order used to represent the\n\ |
|
f9c0c411f80c
Issue #1023290: Added API for the conversion of longs to bytes and vice-versa.
Alexandre Vassalotti <alexandre@peadrop.com>
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|
4557 integer. If byteorder is 'big', the most significant byte is at the\n\ |
|
f9c0c411f80c
Issue #1023290: Added API for the conversion of longs to bytes and vice-versa.
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|
4558 beginning of the byte array. If byteorder is 'little', the most\n\ |
|
f9c0c411f80c
Issue #1023290: Added API for the conversion of longs to bytes and vice-versa.
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diff
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|
4559 significant byte is at the end of the byte array. To request the native\n\ |
|
f9c0c411f80c
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Alexandre Vassalotti <alexandre@peadrop.com>
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|
4560 byte order of the host system, use `sys.byteorder' as the byte order value.\n\ |
|
f9c0c411f80c
Issue #1023290: Added API for the conversion of longs to bytes and vice-versa.
Alexandre Vassalotti <alexandre@peadrop.com>
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diff
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|
4561 \n\ |
|
58596
5a7d7eeb88c1
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Mark Dickinson <dickinsm@gmail.com>
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|
4562 The signed keyword-only argument determines whether two's complement is\n\ |
|
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|
4563 used to represent the integer. If signed is False and a negative integer\n\ |
|
58596
5a7d7eeb88c1
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Mark Dickinson <dickinsm@gmail.com>
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|
4564 is given, an OverflowError is raised."); |
|
58223
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|
4565 |
|
f9c0c411f80c
Issue #1023290: Added API for the conversion of longs to bytes and vice-versa.
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|
4566 static PyObject * |
|
f9c0c411f80c
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Alexandre Vassalotti <alexandre@peadrop.com>
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|
4567 long_from_bytes(PyTypeObject *type, PyObject *args, PyObject *kwds) |
|
f9c0c411f80c
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|
4568 { |
|
61466
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|
4569 PyObject *byteorder_str; |
|
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|
4570 PyObject *is_signed_obj = NULL; |
|
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|
4571 int little_endian; |
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|
4572 int is_signed; |
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|
4573 PyObject *obj; |
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|
4574 PyObject *bytes; |
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|
4575 PyObject *long_obj; |
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|
4576 static char *kwlist[] = {"bytes", "byteorder", "signed", NULL}; |
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|
4577 |
|
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|
4578 if (!PyArg_ParseTupleAndKeywords(args, kwds, "OU|O:from_bytes", kwlist, |
|
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|
4579 &obj, &byteorder_str, |
|
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|
4580 &is_signed_obj)) |
|
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|
4581 return NULL; |
|
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|
4582 |
|
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|
4583 if (args != NULL && Py_SIZE(args) > 2) { |
|
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|
4584 PyErr_SetString(PyExc_TypeError, |
|
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|
4585 "'signed' is a keyword-only argument"); |
|
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|
4586 return NULL; |
|
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|
4587 } |
|
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4588 |
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|
4589 if (!PyUnicode_CompareWithASCIIString(byteorder_str, "little")) |
|
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|
4590 little_endian = 1; |
|
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|
4591 else if (!PyUnicode_CompareWithASCIIString(byteorder_str, "big")) |
|
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|
4592 little_endian = 0; |
|
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|
4593 else { |
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|
4594 PyErr_SetString(PyExc_ValueError, |
|
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|
4595 "byteorder must be either 'little' or 'big'"); |
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|
4596 return NULL; |
|
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|
4597 } |
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|
4598 |
|
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|
4599 if (is_signed_obj != NULL) { |
|
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|
4600 int cmp = PyObject_IsTrue(is_signed_obj); |
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|
4601 if (cmp < 0) |
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|
4602 return NULL; |
|
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|
4603 is_signed = cmp ? 1 : 0; |
|
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4604 } |
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4605 else { |
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|
4606 /* If the signed argument was omitted, use False as the |
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|
4607 default. */ |
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4608 is_signed = 0; |
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4609 } |
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4610 |
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4611 bytes = PyObject_Bytes(obj); |
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|
4612 if (bytes == NULL) |
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|
4613 return NULL; |
|
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|
4614 |
|
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|
4615 long_obj = _PyLong_FromByteArray( |
|
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4616 (unsigned char *)PyBytes_AS_STRING(bytes), Py_SIZE(bytes), |
|
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|
4617 little_endian, is_signed); |
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4618 Py_DECREF(bytes); |
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4619 |
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4620 /* If from_bytes() was used on subclass, allocate new subclass |
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4621 * instance, initialize it with decoded long value and return it. |
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4622 */ |
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4623 if (type != &PyLong_Type && PyType_IsSubtype(type, &PyLong_Type)) { |
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4624 PyLongObject *newobj; |
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4625 int i; |
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4626 Py_ssize_t n = ABS(Py_SIZE(long_obj)); |
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4627 |
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4628 newobj = (PyLongObject *)type->tp_alloc(type, n); |
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4629 if (newobj == NULL) { |
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4630 Py_DECREF(long_obj); |
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4631 return NULL; |
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4632 } |
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4633 assert(PyLong_Check(newobj)); |
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4634 Py_SIZE(newobj) = Py_SIZE(long_obj); |
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4635 for (i = 0; i < n; i++) { |
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4636 newobj->ob_digit[i] = |
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4637 ((PyLongObject *)long_obj)->ob_digit[i]; |
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4638 } |
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4639 Py_DECREF(long_obj); |
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4640 return (PyObject *)newobj; |
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4641 } |
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4642 |
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4643 return long_obj; |
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Issue #1023290: Added API for the conversion of longs to bytes and vice-versa.
Alexandre Vassalotti <alexandre@peadrop.com>
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4644 } |
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4645 |
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4646 PyDoc_STRVAR(long_from_bytes_doc, |
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4647 "int.from_bytes(bytes, byteorder, *, signed=False) -> int\n\ |
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4648 \n\ |
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4649 Return the integer represented by the given array of bytes.\n\ |
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4650 \n\ |
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4651 The bytes argument must either support the buffer protocol or be an\n\ |
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4652 iterable object producing bytes. Bytes and bytearray are examples of\n\ |
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4653 built-in objects that support the buffer protocol.\n\ |
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4654 \n\ |
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4655 The byteorder argument determines the byte order used to represent the\n\ |
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4656 integer. If byteorder is 'big', the most significant byte is at the\n\ |
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4657 beginning of the byte array. If byteorder is 'little', the most\n\ |
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4658 significant byte is at the end of the byte array. To request the native\n\ |
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4659 byte order of the host system, use `sys.byteorder' as the byte order value.\n\ |
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4660 \n\ |
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4661 The signed keyword-only argument indicates whether two's complement is\n\ |
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4662 used to represent the integer."); |
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4663 |
|
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4664 static PyMethodDef long_methods[] = { |
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4665 {"conjugate", (PyCFunction)long_long, METH_NOARGS, |
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4666 "Returns self, the complex conjugate of any int."}, |
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4667 {"bit_length", (PyCFunction)long_bit_length, METH_NOARGS, |
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4668 long_bit_length_doc}, |
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4669 #if 0 |
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4670 {"is_finite", (PyCFunction)long_is_finite, METH_NOARGS, |
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4671 "Returns always True."}, |
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4672 #endif |
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4673 {"to_bytes", (PyCFunction)long_to_bytes, |
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4674 METH_VARARGS|METH_KEYWORDS, long_to_bytes_doc}, |
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4675 {"from_bytes", (PyCFunction)long_from_bytes, |
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4676 METH_VARARGS|METH_KEYWORDS|METH_CLASS, long_from_bytes_doc}, |
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4677 {"__trunc__", (PyCFunction)long_long, METH_NOARGS, |
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4678 "Truncating an Integral returns itself."}, |
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4679 {"__floor__", (PyCFunction)long_long, METH_NOARGS, |
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4680 "Flooring an Integral returns itself."}, |
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4681 {"__ceil__", (PyCFunction)long_long, METH_NOARGS, |
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4682 "Ceiling of an Integral returns itself."}, |
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4683 {"__round__", (PyCFunction)long_round, METH_VARARGS, |
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4684 "Rounding an Integral returns itself.\n" |
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4685 "Rounding with an ndigits argument also returns an integer."}, |
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4686 {"__getnewargs__", (PyCFunction)long_getnewargs, METH_NOARGS}, |
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4687 {"__format__", (PyCFunction)long__format__, METH_VARARGS}, |
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4688 {"__sizeof__", (PyCFunction)long_sizeof, METH_NOARGS, |
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4689 "Returns size in memory, in bytes"}, |
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4690 {NULL, NULL} /* sentinel */ |
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4691 }; |
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4692 |
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42417
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4693 static PyGetSetDef long_getset[] = { |
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4694 {"real", |
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4695 (getter)long_long, (setter)NULL, |
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4696 "the real part of a complex number", |
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4697 NULL}, |
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4698 {"imag", |
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4699 (getter)long_get0, (setter)NULL, |
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4700 "the imaginary part of a complex number", |
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4701 NULL}, |
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4702 {"numerator", |
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4703 (getter)long_long, (setter)NULL, |
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4704 "the numerator of a rational number in lowest terms", |
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4705 NULL}, |
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4706 {"denominator", |
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4707 (getter)long_get1, (setter)NULL, |
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4708 "the denominator of a rational number in lowest terms", |
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4709 NULL}, |
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4710 {NULL} /* Sentinel */ |
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4711 }; |
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4712 |
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4713 PyDoc_STRVAR(long_doc, |
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4714 "int(x[, base]) -> integer\n\ |
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4715 \n\ |
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4716 Convert a string or number to an integer, if possible. A floating\n\ |
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4717 point argument will be truncated towards zero (this does not include a\n\ |
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4718 string representation of a floating point number!) When converting a\n\ |
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4719 string, use the optional base. It is an error to supply a base when\n\ |
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Martin v. Löwis <martin@v.loewis.de>
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4720 converting a non-string."); |
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18933
09df3254b49d
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Tim Peters <tim.peters@gmail.com>
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4721 |
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5396
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4722 static PyNumberMethods long_as_number = { |
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4723 (binaryfunc)long_add, /*nb_add*/ |
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4724 (binaryfunc)long_sub, /*nb_subtract*/ |
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4725 (binaryfunc)long_mul, /*nb_multiply*/ |
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4726 long_mod, /*nb_remainder*/ |
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4727 long_divmod, /*nb_divmod*/ |
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4728 long_pow, /*nb_power*/ |
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4729 (unaryfunc)long_neg, /*nb_negative*/ |
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4730 (unaryfunc)long_long, /*tp_positive*/ |
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4731 (unaryfunc)long_abs, /*tp_absolute*/ |
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4732 (inquiry)long_bool, /*tp_bool*/ |
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4733 (unaryfunc)long_invert, /*nb_invert*/ |
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4734 long_lshift, /*nb_lshift*/ |
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4735 (binaryfunc)long_rshift, /*nb_rshift*/ |
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4736 long_and, /*nb_and*/ |
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4737 long_xor, /*nb_xor*/ |
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4738 long_or, /*nb_or*/ |
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4739 long_long, /*nb_int*/ |
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4740 0, /*nb_reserved*/ |
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4741 long_float, /*nb_float*/ |
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4742 0, /* nb_inplace_add */ |
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4743 0, /* nb_inplace_subtract */ |
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4744 0, /* nb_inplace_multiply */ |
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4745 0, /* nb_inplace_remainder */ |
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4746 0, /* nb_inplace_power */ |
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4747 0, /* nb_inplace_lshift */ |
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4748 0, /* nb_inplace_rshift */ |
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4749 0, /* nb_inplace_and */ |
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4750 0, /* nb_inplace_xor */ |
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4751 0, /* nb_inplace_or */ |
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4752 long_div, /* nb_floor_divide */ |
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4753 long_true_divide, /* nb_true_divide */ |
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4754 0, /* nb_inplace_floor_divide */ |
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4755 0, /* nb_inplace_true_divide */ |
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4756 long_long, /* nb_index */ |
| 230 | 4757 }; |
| 4758 | |
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4759 PyTypeObject PyLong_Type = { |
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4760 PyVarObject_HEAD_INIT(&PyType_Type, 0) |
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4761 "int", /* tp_name */ |
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4762 offsetof(PyLongObject, ob_digit), /* tp_basicsize */ |
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4763 sizeof(digit), /* tp_itemsize */ |
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4764 long_dealloc, /* tp_dealloc */ |
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4765 0, /* tp_print */ |
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4766 0, /* tp_getattr */ |
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4767 0, /* tp_setattr */ |
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4768 0, /* tp_reserved */ |
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4769 long_to_decimal_string, /* tp_repr */ |
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4770 &long_as_number, /* tp_as_number */ |
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4771 0, /* tp_as_sequence */ |
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4772 0, /* tp_as_mapping */ |
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4773 (hashfunc)long_hash, /* tp_hash */ |
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4774 0, /* tp_call */ |
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4775 long_to_decimal_string, /* tp_str */ |
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4776 PyObject_GenericGetAttr, /* tp_getattro */ |
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4777 0, /* tp_setattro */ |
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4778 0, /* tp_as_buffer */ |
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4779 Py_TPFLAGS_DEFAULT | Py_TPFLAGS_BASETYPE | |
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4780 Py_TPFLAGS_LONG_SUBCLASS, /* tp_flags */ |
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4781 long_doc, /* tp_doc */ |
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4782 0, /* tp_traverse */ |
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4783 0, /* tp_clear */ |
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4784 long_richcompare, /* tp_richcompare */ |
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4785 0, /* tp_weaklistoffset */ |
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4786 0, /* tp_iter */ |
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4787 0, /* tp_iternext */ |
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4788 long_methods, /* tp_methods */ |
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4789 0, /* tp_members */ |
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4790 long_getset, /* tp_getset */ |
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4791 0, /* tp_base */ |
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4792 0, /* tp_dict */ |
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4793 0, /* tp_descr_get */ |
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4794 0, /* tp_descr_set */ |
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4795 0, /* tp_dictoffset */ |
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4796 0, /* tp_init */ |
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4797 0, /* tp_alloc */ |
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4798 long_new, /* tp_new */ |
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4799 PyObject_Del, /* tp_free */ |
| 230 | 4800 }; |
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4801 |
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4802 static PyTypeObject Int_InfoType; |
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4803 |
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4804 PyDoc_STRVAR(int_info__doc__, |
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4805 "sys.int_info\n\ |
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4806 \n\ |
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4807 A struct sequence that holds information about Python's\n\ |
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4808 internal representation of integers. The attributes are read only."); |
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4809 |
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4810 static PyStructSequence_Field int_info_fields[] = { |
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4811 {"bits_per_digit", "size of a digit in bits"}, |
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4812 {"sizeof_digit", "size in bytes of the C type used to represent a digit"}, |
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4813 {NULL, NULL} |
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4814 }; |
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4815 |
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4816 static PyStructSequence_Desc int_info_desc = { |
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4817 "sys.int_info", /* name */ |
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4818 int_info__doc__, /* doc */ |
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4819 int_info_fields, /* fields */ |
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4820 2 /* number of fields */ |
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4821 }; |
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4822 |
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4823 PyObject * |
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4824 PyLong_GetInfo(void) |
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4825 { |
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4826 PyObject* int_info; |
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4827 int field = 0; |
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4828 int_info = PyStructSequence_New(&Int_InfoType); |
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4829 if (int_info == NULL) |
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4830 return NULL; |
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4831 PyStructSequence_SET_ITEM(int_info, field++, |
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4832 PyLong_FromLong(PyLong_SHIFT)); |
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4833 PyStructSequence_SET_ITEM(int_info, field++, |
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4834 PyLong_FromLong(sizeof(digit))); |
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4835 if (PyErr_Occurred()) { |
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4836 Py_CLEAR(int_info); |
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4837 return NULL; |
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4838 } |
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4839 return int_info; |
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52215
bb5de24a343f
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Mark Dickinson <dickinsm@gmail.com>
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4840 } |
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bb5de24a343f
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Mark Dickinson <dickinsm@gmail.com>
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4841 |
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4842 int |
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4843 _PyLong_Init(void) |
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4844 { |
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4845 #if NSMALLNEGINTS + NSMALLPOSINTS > 0 |
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61467
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4846 int ival, size; |
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4847 PyLongObject *v = small_ints; |
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4848 |
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4849 for (ival = -NSMALLNEGINTS; ival < NSMALLPOSINTS; ival++, v++) { |
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4850 size = (ival < 0) ? -1 : ((ival == 0) ? 0 : 1); |
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4851 if (Py_TYPE(v) == &PyLong_Type) { |
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4852 /* The element is already initialized, most likely |
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4853 * the Python interpreter was initialized before. |
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4854 */ |
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4855 Py_ssize_t refcnt; |
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4856 PyObject* op = (PyObject*)v; |
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4857 |
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4858 refcnt = Py_REFCNT(op) < 0 ? 0 : Py_REFCNT(op); |
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4859 _Py_NewReference(op); |
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4860 /* _Py_NewReference sets the ref count to 1 but |
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4861 * the ref count might be larger. Set the refcnt |
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4862 * to the original refcnt + 1 */ |
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4863 Py_REFCNT(op) = refcnt + 1; |
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4864 assert(Py_SIZE(op) == size); |
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4865 assert(v->ob_digit[0] == abs(ival)); |
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4866 } |
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4867 else { |
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4868 PyObject_INIT(v, &PyLong_Type); |
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4869 } |
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4870 Py_SIZE(v) = size; |
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4871 v->ob_digit[0] = abs(ival); |
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4872 } |
|
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4873 #endif |
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61467
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4874 /* initialize int_info */ |
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4875 if (Int_InfoType.tp_name == 0) |
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4876 PyStructSequence_InitType(&Int_InfoType, &int_info_desc); |
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4877 |
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4878 return 1; |
|
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4879 } |
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4880 |
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4881 void |
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4882 PyLong_Fini(void) |
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4883 { |
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4884 /* Integers are currently statically allocated. Py_DECREF is not |
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4885 needed, but Python must forget about the reference or multiple |
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4886 reinitializations will fail. */ |
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4887 #if NSMALLNEGINTS + NSMALLPOSINTS > 0 |
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4888 int i; |
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4889 PyLongObject *v = small_ints; |
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4890 for (i = 0; i < NSMALLNEGINTS + NSMALLPOSINTS; i++, v++) { |
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4891 _Py_DEC_REFTOTAL; |
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4892 _Py_ForgetReference((PyObject*)v); |
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4893 } |
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4894 #endif |
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4895 } |
