Mercurial > cpython-lru_cache-weakref
annotate Objects/longobject.c @ 80272:ec00f8570c55
Merge typo fix.
| author | Ezio Melotti <ezio.melotti@gmail.com> |
|---|---|
| date | Mon, 05 Nov 2012 22:23:16 +0200 |
| parents | 5ae4ff03b35f |
| children | e510e028c486 |
| 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 Py_ssize_t 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 = MEDIUM_VALUE(src); |
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160 CHECK_SMALL_INT(ival); |
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161 } |
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162 result = _PyLong_New(i); |
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163 if (result != NULL) { |
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164 Py_SIZE(result) = Py_SIZE(src); |
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165 while (--i >= 0) |
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166 result->ob_digit[i] = src->ob_digit[i]; |
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167 } |
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168 return (PyObject *)result; |
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169 } |
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170 |
| 230 | 171 /* Create a new long int object from a C long int */ |
| 172 | |
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173 PyObject * |
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174 PyLong_FromLong(long ival) |
| 230 | 175 { |
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176 PyLongObject *v; |
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177 unsigned long abs_ival; |
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178 unsigned long t; /* unsigned so >> doesn't propagate sign bit */ |
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179 int ndigits = 0; |
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180 int sign = 1; |
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181 |
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182 CHECK_SMALL_INT(ival); |
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183 |
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184 if (ival < 0) { |
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185 /* negate: can't write this as abs_ival = -ival since that |
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186 invokes undefined behaviour when ival is LONG_MIN */ |
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187 abs_ival = 0U-(unsigned long)ival; |
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188 sign = -1; |
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189 } |
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190 else { |
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191 abs_ival = (unsigned long)ival; |
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192 } |
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193 |
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194 /* Fast path for single-digit ints */ |
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195 if (!(abs_ival >> PyLong_SHIFT)) { |
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196 v = _PyLong_New(1); |
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197 if (v) { |
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198 Py_SIZE(v) = sign; |
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199 v->ob_digit[0] = Py_SAFE_DOWNCAST( |
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200 abs_ival, unsigned long, digit); |
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201 } |
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202 return (PyObject*)v; |
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203 } |
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204 |
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205 #if PyLong_SHIFT==15 |
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206 /* 2 digits */ |
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207 if (!(abs_ival >> 2*PyLong_SHIFT)) { |
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208 v = _PyLong_New(2); |
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209 if (v) { |
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210 Py_SIZE(v) = 2*sign; |
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211 v->ob_digit[0] = Py_SAFE_DOWNCAST( |
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212 abs_ival & PyLong_MASK, unsigned long, digit); |
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213 v->ob_digit[1] = Py_SAFE_DOWNCAST( |
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214 abs_ival >> PyLong_SHIFT, unsigned long, digit); |
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215 } |
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216 return (PyObject*)v; |
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217 } |
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218 #endif |
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219 |
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220 /* Larger numbers: loop to determine number of digits */ |
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221 t = abs_ival; |
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222 while (t) { |
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223 ++ndigits; |
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224 t >>= PyLong_SHIFT; |
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225 } |
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226 v = _PyLong_New(ndigits); |
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227 if (v != NULL) { |
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228 digit *p = v->ob_digit; |
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229 Py_SIZE(v) = ndigits*sign; |
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230 t = abs_ival; |
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231 while (t) { |
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232 *p++ = Py_SAFE_DOWNCAST( |
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233 t & PyLong_MASK, unsigned long, digit); |
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234 t >>= PyLong_SHIFT; |
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235 } |
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236 } |
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237 return (PyObject *)v; |
| 230 | 238 } |
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240 /* Create a new long int object from a C unsigned long int */ |
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241 |
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242 PyObject * |
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243 PyLong_FromUnsignedLong(unsigned long ival) |
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244 { |
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245 PyLongObject *v; |
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246 unsigned long t; |
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247 int ndigits = 0; |
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248 |
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249 if (ival < PyLong_BASE) |
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250 return PyLong_FromLong(ival); |
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251 /* Count the number of Python digits. */ |
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252 t = (unsigned long)ival; |
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253 while (t) { |
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254 ++ndigits; |
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255 t >>= PyLong_SHIFT; |
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256 } |
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257 v = _PyLong_New(ndigits); |
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258 if (v != NULL) { |
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259 digit *p = v->ob_digit; |
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260 Py_SIZE(v) = ndigits; |
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261 while (ival) { |
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262 *p++ = (digit)(ival & PyLong_MASK); |
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263 ival >>= PyLong_SHIFT; |
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264 } |
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265 } |
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266 return (PyObject *)v; |
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267 } |
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268 |
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269 /* Create a new long int object from a C double */ |
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270 |
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271 PyObject * |
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272 PyLong_FromDouble(double dval) |
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273 { |
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274 PyLongObject *v; |
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275 double frac; |
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276 int i, ndig, expo, neg; |
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277 neg = 0; |
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278 if (Py_IS_INFINITY(dval)) { |
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279 PyErr_SetString(PyExc_OverflowError, |
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280 "cannot convert float infinity to integer"); |
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281 return NULL; |
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282 } |
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283 if (Py_IS_NAN(dval)) { |
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284 PyErr_SetString(PyExc_ValueError, |
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285 "cannot convert float NaN to integer"); |
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286 return NULL; |
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287 } |
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288 if (dval < 0.0) { |
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289 neg = 1; |
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290 dval = -dval; |
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291 } |
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292 frac = frexp(dval, &expo); /* dval = frac*2**expo; 0.0 <= frac < 1.0 */ |
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293 if (expo <= 0) |
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294 return PyLong_FromLong(0L); |
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295 ndig = (expo-1) / PyLong_SHIFT + 1; /* Number of 'digits' in result */ |
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296 v = _PyLong_New(ndig); |
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297 if (v == NULL) |
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298 return NULL; |
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299 frac = ldexp(frac, (expo-1) % PyLong_SHIFT + 1); |
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300 for (i = ndig; --i >= 0; ) { |
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301 digit bits = (digit)frac; |
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302 v->ob_digit[i] = bits; |
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303 frac = frac - (double)bits; |
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304 frac = ldexp(frac, PyLong_SHIFT); |
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305 } |
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306 if (neg) |
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307 Py_SIZE(v) = -(Py_SIZE(v)); |
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308 return (PyObject *)v; |
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309 } |
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310 |
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311 /* Checking for overflow in PyLong_AsLong is a PITA since C doesn't define |
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312 * anything about what happens when a signed integer operation overflows, |
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313 * and some compilers think they're doing you a favor by being "clever" |
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314 * then. The bit pattern for the largest postive signed long is |
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315 * (unsigned long)LONG_MAX, and for the smallest negative signed long |
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316 * it is abs(LONG_MIN), which we could write -(unsigned long)LONG_MIN. |
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317 * However, some other compilers warn about applying unary minus to an |
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318 * unsigned operand. Hence the weird "0-". |
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319 */ |
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320 #define PY_ABS_LONG_MIN (0-(unsigned long)LONG_MIN) |
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321 #define PY_ABS_SSIZE_T_MIN (0-(size_t)PY_SSIZE_T_MIN) |
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322 |
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323 /* Get a C long int from a long int object or any object that has an __int__ |
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324 method. |
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325 |
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326 On overflow, return -1 and set *overflow to 1 or -1 depending on the sign of |
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327 the result. Otherwise *overflow is 0. |
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328 |
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329 For other errors (e.g., TypeError), return -1 and set an error condition. |
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330 In this case *overflow will be 0. |
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331 */ |
| 230 | 332 |
| 333 long | |
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334 PyLong_AsLongAndOverflow(PyObject *vv, int *overflow) |
| 230 | 335 { |
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336 /* This version by Tim Peters */ |
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337 register PyLongObject *v; |
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338 unsigned long x, prev; |
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339 long res; |
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340 Py_ssize_t i; |
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341 int sign; |
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342 int do_decref = 0; /* if nb_int was called */ |
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343 |
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344 *overflow = 0; |
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345 if (vv == NULL) { |
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346 PyErr_BadInternalCall(); |
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347 return -1; |
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348 } |
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349 |
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350 if (!PyLong_Check(vv)) { |
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351 PyNumberMethods *nb; |
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352 nb = vv->ob_type->tp_as_number; |
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353 if (nb == NULL || nb->nb_int == NULL) { |
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354 PyErr_SetString(PyExc_TypeError, |
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355 "an integer is required"); |
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356 return -1; |
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357 } |
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358 vv = (*nb->nb_int) (vv); |
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359 if (vv == NULL) |
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360 return -1; |
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361 do_decref = 1; |
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362 if (!PyLong_Check(vv)) { |
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363 Py_DECREF(vv); |
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364 PyErr_SetString(PyExc_TypeError, |
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365 "nb_int should return int object"); |
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366 return -1; |
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367 } |
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368 } |
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369 |
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370 res = -1; |
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371 v = (PyLongObject *)vv; |
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372 i = Py_SIZE(v); |
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373 |
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374 switch (i) { |
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375 case -1: |
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376 res = -(sdigit)v->ob_digit[0]; |
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377 break; |
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378 case 0: |
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379 res = 0; |
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380 break; |
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381 case 1: |
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382 res = v->ob_digit[0]; |
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383 break; |
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384 default: |
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385 sign = 1; |
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386 x = 0; |
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387 if (i < 0) { |
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388 sign = -1; |
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389 i = -(i); |
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390 } |
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391 while (--i >= 0) { |
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392 prev = x; |
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393 x = (x << PyLong_SHIFT) | v->ob_digit[i]; |
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394 if ((x >> PyLong_SHIFT) != prev) { |
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395 *overflow = sign; |
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396 goto exit; |
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397 } |
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398 } |
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399 /* Haven't lost any bits, but casting to long requires extra |
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400 * care (see comment above). |
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401 */ |
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402 if (x <= (unsigned long)LONG_MAX) { |
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403 res = (long)x * sign; |
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404 } |
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405 else if (sign < 0 && x == PY_ABS_LONG_MIN) { |
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406 res = LONG_MIN; |
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407 } |
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408 else { |
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409 *overflow = sign; |
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410 /* res is already set to -1 */ |
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411 } |
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412 } |
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413 exit: |
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414 if (do_decref) { |
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415 Py_DECREF(vv); |
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416 } |
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417 return res; |
| 230 | 418 } |
| 419 | |
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420 /* Get a C long int from a long int object or any object that has an __int__ |
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421 method. Return -1 and set an error if overflow occurs. */ |
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422 |
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423 long |
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424 PyLong_AsLong(PyObject *obj) |
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425 { |
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426 int overflow; |
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427 long result = PyLong_AsLongAndOverflow(obj, &overflow); |
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428 if (overflow) { |
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429 /* XXX: could be cute and give a different |
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430 message for overflow == -1 */ |
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431 PyErr_SetString(PyExc_OverflowError, |
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432 "Python int too large to convert to C long"); |
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433 } |
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434 return result; |
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435 } |
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436 |
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437 /* Get a Py_ssize_t from a long int object. |
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438 Returns -1 and sets an error condition if overflow occurs. */ |
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439 |
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440 Py_ssize_t |
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441 PyLong_AsSsize_t(PyObject *vv) { |
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442 register PyLongObject *v; |
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443 size_t x, prev; |
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444 Py_ssize_t i; |
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445 int sign; |
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446 |
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447 if (vv == NULL) { |
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448 PyErr_BadInternalCall(); |
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449 return -1; |
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450 } |
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451 if (!PyLong_Check(vv)) { |
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452 PyErr_SetString(PyExc_TypeError, "an integer is required"); |
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453 return -1; |
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454 } |
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455 |
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456 v = (PyLongObject *)vv; |
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457 i = Py_SIZE(v); |
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458 switch (i) { |
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459 case -1: return -(sdigit)v->ob_digit[0]; |
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460 case 0: return 0; |
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461 case 1: return v->ob_digit[0]; |
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462 } |
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463 sign = 1; |
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464 x = 0; |
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465 if (i < 0) { |
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466 sign = -1; |
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467 i = -(i); |
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468 } |
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469 while (--i >= 0) { |
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470 prev = x; |
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471 x = (x << PyLong_SHIFT) | v->ob_digit[i]; |
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472 if ((x >> PyLong_SHIFT) != prev) |
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473 goto overflow; |
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474 } |
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475 /* Haven't lost any bits, but casting to a signed type requires |
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476 * extra care (see comment above). |
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477 */ |
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478 if (x <= (size_t)PY_SSIZE_T_MAX) { |
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479 return (Py_ssize_t)x * sign; |
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480 } |
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481 else if (sign < 0 && x == PY_ABS_SSIZE_T_MIN) { |
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482 return PY_SSIZE_T_MIN; |
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483 } |
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484 /* else overflow */ |
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485 |
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486 overflow: |
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487 PyErr_SetString(PyExc_OverflowError, |
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488 "Python int too large to convert to C ssize_t"); |
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489 return -1; |
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490 } |
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491 |
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492 /* Get a C unsigned long int from a long int object. |
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493 Returns -1 and sets an error condition if overflow occurs. */ |
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494 |
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495 unsigned long |
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496 PyLong_AsUnsignedLong(PyObject *vv) |
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497 { |
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498 register PyLongObject *v; |
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499 unsigned long x, prev; |
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500 Py_ssize_t i; |
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501 |
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502 if (vv == NULL) { |
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503 PyErr_BadInternalCall(); |
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504 return (unsigned long)-1; |
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505 } |
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506 if (!PyLong_Check(vv)) { |
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507 PyErr_SetString(PyExc_TypeError, "an integer is required"); |
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508 return (unsigned long)-1; |
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509 } |
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510 |
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511 v = (PyLongObject *)vv; |
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512 i = Py_SIZE(v); |
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513 x = 0; |
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514 if (i < 0) { |
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515 PyErr_SetString(PyExc_OverflowError, |
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516 "can't convert negative value to unsigned int"); |
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517 return (unsigned long) -1; |
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518 } |
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519 switch (i) { |
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520 case 0: return 0; |
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521 case 1: return v->ob_digit[0]; |
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522 } |
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523 while (--i >= 0) { |
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524 prev = x; |
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525 x = (x << PyLong_SHIFT) | v->ob_digit[i]; |
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526 if ((x >> PyLong_SHIFT) != prev) { |
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527 PyErr_SetString(PyExc_OverflowError, |
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528 "python int too large to convert " |
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529 "to C unsigned long"); |
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530 return (unsigned long) -1; |
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531 } |
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532 } |
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533 return x; |
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534 } |
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535 |
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536 /* Get a C size_t from a long int object. Returns (size_t)-1 and sets |
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537 an error condition if overflow occurs. */ |
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538 |
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539 size_t |
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540 PyLong_AsSize_t(PyObject *vv) |
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541 { |
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542 register PyLongObject *v; |
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543 size_t x, prev; |
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544 Py_ssize_t i; |
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545 |
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546 if (vv == NULL) { |
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547 PyErr_BadInternalCall(); |
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548 return (size_t) -1; |
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549 } |
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550 if (!PyLong_Check(vv)) { |
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551 PyErr_SetString(PyExc_TypeError, "an integer is required"); |
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552 return (size_t)-1; |
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553 } |
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554 |
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555 v = (PyLongObject *)vv; |
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556 i = Py_SIZE(v); |
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557 x = 0; |
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558 if (i < 0) { |
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559 PyErr_SetString(PyExc_OverflowError, |
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560 "can't convert negative value to size_t"); |
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561 return (size_t) -1; |
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562 } |
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563 switch (i) { |
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564 case 0: return 0; |
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565 case 1: return v->ob_digit[0]; |
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566 } |
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567 while (--i >= 0) { |
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568 prev = x; |
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569 x = (x << PyLong_SHIFT) | v->ob_digit[i]; |
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570 if ((x >> PyLong_SHIFT) != prev) { |
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571 PyErr_SetString(PyExc_OverflowError, |
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572 "Python int too large to convert to C size_t"); |
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573 return (size_t) -1; |
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574 } |
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575 } |
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576 return x; |
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577 } |
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578 |
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579 /* Get a C unsigned long int from a long int object, ignoring the high bits. |
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580 Returns -1 and sets an error condition if an error occurs. */ |
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581 |
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582 static unsigned long |
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583 _PyLong_AsUnsignedLongMask(PyObject *vv) |
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584 { |
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585 register PyLongObject *v; |
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586 unsigned long x; |
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587 Py_ssize_t i; |
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588 int sign; |
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589 |
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590 if (vv == NULL || !PyLong_Check(vv)) { |
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591 PyErr_BadInternalCall(); |
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592 return (unsigned long) -1; |
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593 } |
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594 v = (PyLongObject *)vv; |
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595 i = Py_SIZE(v); |
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596 switch (i) { |
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597 case 0: return 0; |
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598 case 1: return v->ob_digit[0]; |
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599 } |
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600 sign = 1; |
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601 x = 0; |
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602 if (i < 0) { |
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603 sign = -1; |
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604 i = -i; |
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605 } |
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606 while (--i >= 0) { |
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607 x = (x << PyLong_SHIFT) | v->ob_digit[i]; |
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608 } |
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609 return x * sign; |
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610 } |
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611 |
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612 unsigned long |
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613 PyLong_AsUnsignedLongMask(register PyObject *op) |
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614 { |
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615 PyNumberMethods *nb; |
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616 PyLongObject *lo; |
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617 unsigned long val; |
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618 |
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619 if (op && PyLong_Check(op)) |
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620 return _PyLong_AsUnsignedLongMask(op); |
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621 |
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622 if (op == NULL || (nb = op->ob_type->tp_as_number) == NULL || |
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623 nb->nb_int == NULL) { |
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624 PyErr_SetString(PyExc_TypeError, "an integer is required"); |
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625 return (unsigned long)-1; |
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626 } |
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627 |
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628 lo = (PyLongObject*) (*nb->nb_int) (op); |
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629 if (lo == NULL) |
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630 return (unsigned long)-1; |
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631 if (PyLong_Check(lo)) { |
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632 val = _PyLong_AsUnsignedLongMask((PyObject *)lo); |
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633 Py_DECREF(lo); |
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634 if (PyErr_Occurred()) |
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635 return (unsigned long)-1; |
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636 return val; |
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637 } |
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638 else |
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639 { |
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640 Py_DECREF(lo); |
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641 PyErr_SetString(PyExc_TypeError, |
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642 "nb_int should return int object"); |
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643 return (unsigned long)-1; |
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644 } |
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645 } |
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646 |
|
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647 int |
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648 _PyLong_Sign(PyObject *vv) |
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649 { |
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650 PyLongObject *v = (PyLongObject *)vv; |
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651 |
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652 assert(v != NULL); |
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653 assert(PyLong_Check(v)); |
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654 |
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655 return Py_SIZE(v) == 0 ? 0 : (Py_SIZE(v) < 0 ? -1 : 1); |
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656 } |
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657 |
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658 size_t |
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659 _PyLong_NumBits(PyObject *vv) |
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660 { |
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661 PyLongObject *v = (PyLongObject *)vv; |
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662 size_t result = 0; |
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663 Py_ssize_t ndigits; |
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664 |
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665 assert(v != NULL); |
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666 assert(PyLong_Check(v)); |
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667 ndigits = ABS(Py_SIZE(v)); |
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668 assert(ndigits == 0 || v->ob_digit[ndigits - 1] != 0); |
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669 if (ndigits > 0) { |
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670 digit msd = v->ob_digit[ndigits - 1]; |
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671 if ((size_t)(ndigits - 1) > PY_SIZE_MAX / (size_t)PyLong_SHIFT) |
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672 goto Overflow; |
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673 result = (size_t)(ndigits - 1) * (size_t)PyLong_SHIFT; |
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674 do { |
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675 ++result; |
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676 if (result == 0) |
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677 goto Overflow; |
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678 msd >>= 1; |
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679 } while (msd); |
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680 } |
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681 return result; |
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682 |
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683 Overflow: |
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684 PyErr_SetString(PyExc_OverflowError, "int has too many bits " |
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685 "to express in a platform size_t"); |
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686 return (size_t)-1; |
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687 } |
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688 |
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689 PyObject * |
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690 _PyLong_FromByteArray(const unsigned char* bytes, size_t n, |
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691 int little_endian, int is_signed) |
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692 { |
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693 const unsigned char* pstartbyte; /* LSB of bytes */ |
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694 int incr; /* direction to move pstartbyte */ |
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695 const unsigned char* pendbyte; /* MSB of bytes */ |
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696 size_t numsignificantbytes; /* number of bytes that matter */ |
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697 Py_ssize_t ndigits; /* number of Python long digits */ |
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698 PyLongObject* v; /* result */ |
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699 Py_ssize_t idigit = 0; /* next free index in v->ob_digit */ |
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700 |
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701 if (n == 0) |
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702 return PyLong_FromLong(0L); |
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703 |
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704 if (little_endian) { |
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705 pstartbyte = bytes; |
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706 pendbyte = bytes + n - 1; |
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707 incr = 1; |
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708 } |
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709 else { |
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710 pstartbyte = bytes + n - 1; |
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711 pendbyte = bytes; |
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712 incr = -1; |
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713 } |
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714 |
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715 if (is_signed) |
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716 is_signed = *pendbyte >= 0x80; |
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717 |
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718 /* Compute numsignificantbytes. This consists of finding the most |
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719 significant byte. Leading 0 bytes are insignificant if the number |
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720 is positive, and leading 0xff bytes if negative. */ |
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721 { |
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722 size_t i; |
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723 const unsigned char* p = pendbyte; |
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724 const int pincr = -incr; /* search MSB to LSB */ |
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725 const unsigned char insignficant = is_signed ? 0xff : 0x00; |
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726 |
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727 for (i = 0; i < n; ++i, p += pincr) { |
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728 if (*p != insignficant) |
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729 break; |
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730 } |
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731 numsignificantbytes = n - i; |
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732 /* 2's-comp is a bit tricky here, e.g. 0xff00 == -0x0100, so |
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733 actually has 2 significant bytes. OTOH, 0xff0001 == |
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734 -0x00ffff, so we wouldn't *need* to bump it there; but we |
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735 do for 0xffff = -0x0001. To be safe without bothering to |
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736 check every case, bump it regardless. */ |
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737 if (is_signed && numsignificantbytes < n) |
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738 ++numsignificantbytes; |
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739 } |
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740 |
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741 /* How many Python long digits do we need? We have |
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742 8*numsignificantbytes bits, and each Python long digit has |
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743 PyLong_SHIFT bits, so it's the ceiling of the quotient. */ |
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744 /* catch overflow before it happens */ |
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745 if (numsignificantbytes > (PY_SSIZE_T_MAX - PyLong_SHIFT) / 8) { |
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746 PyErr_SetString(PyExc_OverflowError, |
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747 "byte array too long to convert to int"); |
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748 return NULL; |
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749 } |
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750 ndigits = (numsignificantbytes * 8 + PyLong_SHIFT - 1) / PyLong_SHIFT; |
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751 v = _PyLong_New(ndigits); |
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752 if (v == NULL) |
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753 return NULL; |
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754 |
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755 /* Copy the bits over. The tricky parts are computing 2's-comp on |
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756 the fly for signed numbers, and dealing with the mismatch between |
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757 8-bit bytes and (probably) 15-bit Python digits.*/ |
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758 { |
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759 size_t i; |
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760 twodigits carry = 1; /* for 2's-comp calculation */ |
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761 twodigits accum = 0; /* sliding register */ |
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762 unsigned int accumbits = 0; /* number of bits in accum */ |
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763 const unsigned char* p = pstartbyte; |
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764 |
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765 for (i = 0; i < numsignificantbytes; ++i, p += incr) { |
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766 twodigits thisbyte = *p; |
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767 /* Compute correction for 2's comp, if needed. */ |
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768 if (is_signed) { |
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769 thisbyte = (0xff ^ thisbyte) + carry; |
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770 carry = thisbyte >> 8; |
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771 thisbyte &= 0xff; |
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772 } |
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773 /* Because we're going LSB to MSB, thisbyte is |
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774 more significant than what's already in accum, |
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775 so needs to be prepended to accum. */ |
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776 accum |= (twodigits)thisbyte << accumbits; |
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777 accumbits += 8; |
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778 if (accumbits >= PyLong_SHIFT) { |
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779 /* There's enough to fill a Python digit. */ |
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780 assert(idigit < ndigits); |
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781 v->ob_digit[idigit] = (digit)(accum & PyLong_MASK); |
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782 ++idigit; |
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783 accum >>= PyLong_SHIFT; |
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784 accumbits -= PyLong_SHIFT; |
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785 assert(accumbits < PyLong_SHIFT); |
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786 } |
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787 } |
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788 assert(accumbits < PyLong_SHIFT); |
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789 if (accumbits) { |
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790 assert(idigit < ndigits); |
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791 v->ob_digit[idigit] = (digit)accum; |
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792 ++idigit; |
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793 } |
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794 } |
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795 |
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796 Py_SIZE(v) = is_signed ? -idigit : idigit; |
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797 return (PyObject *)long_normalize(v); |
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798 } |
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799 |
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800 int |
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801 _PyLong_AsByteArray(PyLongObject* v, |
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802 unsigned char* bytes, size_t n, |
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803 int little_endian, int is_signed) |
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804 { |
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805 Py_ssize_t i; /* index into v->ob_digit */ |
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806 Py_ssize_t ndigits; /* |v->ob_size| */ |
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807 twodigits accum; /* sliding register */ |
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808 unsigned int accumbits; /* # bits in accum */ |
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809 int do_twos_comp; /* store 2's-comp? is_signed and v < 0 */ |
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810 digit carry; /* for computing 2's-comp */ |
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811 size_t j; /* # bytes filled */ |
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812 unsigned char* p; /* pointer to next byte in bytes */ |
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813 int pincr; /* direction to move p */ |
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814 |
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815 assert(v != NULL && PyLong_Check(v)); |
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816 |
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817 if (Py_SIZE(v) < 0) { |
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818 ndigits = -(Py_SIZE(v)); |
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819 if (!is_signed) { |
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820 PyErr_SetString(PyExc_OverflowError, |
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821 "can't convert negative int to unsigned"); |
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822 return -1; |
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823 } |
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824 do_twos_comp = 1; |
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825 } |
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826 else { |
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827 ndigits = Py_SIZE(v); |
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828 do_twos_comp = 0; |
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829 } |
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830 |
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831 if (little_endian) { |
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832 p = bytes; |
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833 pincr = 1; |
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834 } |
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835 else { |
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836 p = bytes + n - 1; |
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837 pincr = -1; |
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838 } |
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839 |
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840 /* Copy over all the Python digits. |
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841 It's crucial that every Python digit except for the MSD contribute |
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842 exactly PyLong_SHIFT bits to the total, so first assert that the long is |
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843 normalized. */ |
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844 assert(ndigits == 0 || v->ob_digit[ndigits - 1] != 0); |
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845 j = 0; |
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846 accum = 0; |
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847 accumbits = 0; |
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848 carry = do_twos_comp ? 1 : 0; |
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849 for (i = 0; i < ndigits; ++i) { |
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850 digit thisdigit = v->ob_digit[i]; |
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851 if (do_twos_comp) { |
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852 thisdigit = (thisdigit ^ PyLong_MASK) + carry; |
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853 carry = thisdigit >> PyLong_SHIFT; |
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854 thisdigit &= PyLong_MASK; |
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855 } |
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856 /* Because we're going LSB to MSB, thisdigit is more |
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857 significant than what's already in accum, so needs to be |
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858 prepended to accum. */ |
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859 accum |= (twodigits)thisdigit << accumbits; |
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860 |
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861 /* The most-significant digit may be (probably is) at least |
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862 partly empty. */ |
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863 if (i == ndigits - 1) { |
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864 /* Count # of sign bits -- they needn't be stored, |
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865 * although for signed conversion we need later to |
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866 * make sure at least one sign bit gets stored. */ |
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867 digit s = do_twos_comp ? thisdigit ^ PyLong_MASK : thisdigit; |
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868 while (s != 0) { |
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869 s >>= 1; |
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870 accumbits++; |
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871 } |
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872 } |
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873 else |
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874 accumbits += PyLong_SHIFT; |
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875 |
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876 /* Store as many bytes as possible. */ |
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877 while (accumbits >= 8) { |
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878 if (j >= n) |
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879 goto Overflow; |
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880 ++j; |
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881 *p = (unsigned char)(accum & 0xff); |
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882 p += pincr; |
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883 accumbits -= 8; |
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884 accum >>= 8; |
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885 } |
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886 } |
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887 |
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888 /* Store the straggler (if any). */ |
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889 assert(accumbits < 8); |
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890 assert(carry == 0); /* else do_twos_comp and *every* digit was 0 */ |
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891 if (accumbits > 0) { |
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892 if (j >= n) |
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893 goto Overflow; |
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894 ++j; |
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895 if (do_twos_comp) { |
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|
896 /* Fill leading bits of the byte with sign bits |
|
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|
897 (appropriately pretending that the long had an |
|
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|
898 infinite supply of sign bits). */ |
|
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|
899 accum |= (~(twodigits)0) << accumbits; |
|
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|
900 } |
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|
901 *p = (unsigned char)(accum & 0xff); |
|
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|
902 p += pincr; |
|
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|
903 } |
|
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|
904 else if (j == n && n > 0 && is_signed) { |
|
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|
905 /* The main loop filled the byte array exactly, so the code |
|
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|
906 just above didn't get to ensure there's a sign bit, and the |
|
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|
907 loop below wouldn't add one either. Make sure a sign bit |
|
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|
908 exists. */ |
|
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|
909 unsigned char msb = *(p - pincr); |
|
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|
910 int sign_bit_set = msb >= 0x80; |
|
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|
911 assert(accumbits == 0); |
|
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|
912 if (sign_bit_set == do_twos_comp) |
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|
913 return 0; |
|
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|
914 else |
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|
915 goto Overflow; |
|
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|
916 } |
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|
917 |
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|
918 /* Fill remaining bytes with copies of the sign bit. */ |
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|
919 { |
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|
920 unsigned char signbyte = do_twos_comp ? 0xffU : 0U; |
|
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|
921 for ( ; j < n; ++j, p += pincr) |
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|
922 *p = signbyte; |
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923 } |
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|
924 |
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|
925 return 0; |
|
18082
dd09f11fa40d
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Tim Peters <tim.peters@gmail.com>
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|
926 |
|
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|
927 Overflow: |
|
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|
928 PyErr_SetString(PyExc_OverflowError, "int too big to convert"); |
|
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|
929 return -1; |
|
24745
ba035f4b47c1
Cautious introduction of a patch that started from
Tim Peters <tim.peters@gmail.com>
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|
930 |
|
18082
dd09f11fa40d
Two new private longobject API functions,
Tim Peters <tim.peters@gmail.com>
parents:
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|
931 } |
|
dd09f11fa40d
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Tim Peters <tim.peters@gmail.com>
parents:
15946
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|
932 |
|
73075
d4839fea4a5a
Issue #12965: Fix some inaccurate comments in Objects/longobject.c. Thanks Stefan Krah.
Mark Dickinson <mdickinson@enthought.com>
parents:
72510
diff
changeset
|
933 /* Create a new long int object from a C pointer */ |
|
9123
17d0c51e0887
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Guido van Rossum <guido@python.org>
parents:
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|
934 |
|
17d0c51e0887
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Guido van Rossum <guido@python.org>
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|
935 PyObject * |
|
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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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|
936 PyLong_FromVoidPtr(void *p) |
|
9123
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|
937 { |
|
79815
bedb2903d71e
Issue #16277: in PyLong_FromVoidPtr, add missing branch for sizeof(void*) <= sizeof(long).
Mark Dickinson <mdickinson@enthought.com>
parents:
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diff
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|
938 #if SIZEOF_VOID_P <= SIZEOF_LONG |
|
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Mark Dickinson <mdickinson@enthought.com>
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|
939 return PyLong_FromUnsignedLong((unsigned long)(Py_uintptr_t)p); |
|
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|
940 #else |
|
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Mark Dickinson <mdickinson@enthought.com>
parents:
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|
941 |
|
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eff8da7c3dcb
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parents:
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diff
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|
942 #ifndef HAVE_LONG_LONG |
|
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|
943 # error "PyLong_FromVoidPtr: sizeof(void*) > sizeof(long), but no long long" |
|
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|
944 #endif |
|
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|
945 #if SIZEOF_LONG_LONG < SIZEOF_VOID_P |
|
28437
871da703e4c0
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Martin v. Löwis <martin@v.loewis.de>
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28032
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|
946 # error "PyLong_FromVoidPtr: sizeof(PY_LONG_LONG) < sizeof(void*)" |
|
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|
947 #endif |
|
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|
948 return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG)(Py_uintptr_t)p); |
|
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bedb2903d71e
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Mark Dickinson <mdickinson@enthought.com>
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diff
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|
949 #endif /* SIZEOF_VOID_P <= SIZEOF_LONG */ |
|
40626
4aee3f672f77
Merged the int/long unification branch, by very crude means (sorry Thomas!).
Guido van Rossum <guido@python.org>
parents:
40450
diff
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|
950 |
|
9123
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Guido van Rossum <guido@python.org>
parents:
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|
951 } |
|
17d0c51e0887
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parents:
9094
diff
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|
952 |
|
73075
d4839fea4a5a
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Mark Dickinson <mdickinson@enthought.com>
parents:
72510
diff
changeset
|
953 /* Get a C pointer from a long int object. */ |
|
9123
17d0c51e0887
Patches from Greg Stein to support 'P' format in struct module's
Guido van Rossum <guido@python.org>
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|
954 |
|
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|
955 void * |
|
13406
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Tim Peters <tim.peters@gmail.com>
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|
956 PyLong_AsVoidPtr(PyObject *vv) |
|
9123
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|
957 { |
|
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|
958 #if SIZEOF_VOID_P <= SIZEOF_LONG |
|
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|
959 long x; |
|
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|
960 |
|
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|
961 if (PyLong_Check(vv) && _PyLong_Sign(vv) < 0) |
|
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|
962 x = PyLong_AsLong(vv); |
|
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|
963 else |
|
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|
964 x = PyLong_AsUnsignedLong(vv); |
|
9123
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Patches from Greg Stein to support 'P' format in struct module's
Guido van Rossum <guido@python.org>
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9094
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|
965 #else |
|
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Tim Peters <tim.peters@gmail.com>
parents:
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|
966 |
|
eff8da7c3dcb
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Tim Peters <tim.peters@gmail.com>
parents:
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|
967 #ifndef HAVE_LONG_LONG |
|
eff8da7c3dcb
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Tim Peters <tim.peters@gmail.com>
parents:
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|
968 # error "PyLong_AsVoidPtr: sizeof(void*) > sizeof(long), but no long long" |
|
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|
969 #endif |
|
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parents:
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|
970 #if SIZEOF_LONG_LONG < SIZEOF_VOID_P |
|
28437
871da703e4c0
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Martin v. Löwis <martin@v.loewis.de>
parents:
28032
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|
971 # error "PyLong_AsVoidPtr: sizeof(PY_LONG_LONG) < sizeof(void*)" |
|
18134
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|
972 #endif |
|
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|
973 PY_LONG_LONG x; |
|
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|
974 |
|
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|
975 if (PyLong_Check(vv) && _PyLong_Sign(vv) < 0) |
|
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|
976 x = PyLong_AsLongLong(vv); |
|
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|
977 else |
|
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|
978 x = PyLong_AsUnsignedLongLong(vv); |
|
18134
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Tim Peters <tim.peters@gmail.com>
parents:
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|
979 |
|
eff8da7c3dcb
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Tim Peters <tim.peters@gmail.com>
parents:
18121
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|
980 #endif /* SIZEOF_VOID_P <= SIZEOF_LONG */ |
|
9123
17d0c51e0887
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Guido van Rossum <guido@python.org>
parents:
9094
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|
981 |
|
61467
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|
982 if (x == -1 && PyErr_Occurred()) |
|
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|
983 return NULL; |
|
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|
984 return (void *)x; |
|
9123
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Patches from Greg Stein to support 'P' format in struct module's
Guido van Rossum <guido@python.org>
parents:
9094
diff
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|
985 } |
|
17d0c51e0887
Patches from Greg Stein to support 'P' format in struct module's
Guido van Rossum <guido@python.org>
parents:
9094
diff
changeset
|
986 |
|
8822
bd47ee068b83
Changes for BeOS, QNX and long long, by Chris Herborth.
Guido van Rossum <guido@python.org>
parents:
8808
diff
changeset
|
987 #ifdef HAVE_LONG_LONG |
| 18093 | 988 |
|
28437
871da703e4c0
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Martin v. Löwis <martin@v.loewis.de>
parents:
28032
diff
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|
989 /* Initial PY_LONG_LONG support by Chris Herborth (chrish@qnx.com), later |
| 18093 | 990 * rewritten to use the newer PyLong_{As,From}ByteArray API. |
|
8822
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|
991 */ |
|
bd47ee068b83
Changes for BeOS, QNX and long long, by Chris Herborth.
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|
992 |
|
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|
993 #define PY_ABS_LLONG_MIN (0-(unsigned PY_LONG_LONG)PY_LLONG_MIN) |
| 18093 | 994 |
|
28437
871da703e4c0
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Martin v. Löwis <martin@v.loewis.de>
parents:
28032
diff
changeset
|
995 /* Create a new long int object from a C PY_LONG_LONG int. */ |
|
8822
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Guido van Rossum <guido@python.org>
parents:
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diff
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|
996 |
|
bd47ee068b83
Changes for BeOS, QNX and long long, by Chris Herborth.
Guido van Rossum <guido@python.org>
parents:
8808
diff
changeset
|
997 PyObject * |
|
28437
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Rename LONG_LONG to PY_LONG_LONG. Fixes #710285.
Martin v. Löwis <martin@v.loewis.de>
parents:
28032
diff
changeset
|
998 PyLong_FromLongLong(PY_LONG_LONG ival) |
|
8822
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|
999 { |
|
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|
1000 PyLongObject *v; |
|
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|
1001 unsigned PY_LONG_LONG abs_ival; |
|
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|
1002 unsigned PY_LONG_LONG t; /* unsigned so >> doesn't propagate sign bit */ |
|
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|
1003 int ndigits = 0; |
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1004 int negative = 0; |
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1005 |
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1006 CHECK_SMALL_INT(ival); |
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1007 if (ival < 0) { |
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1008 /* avoid signed overflow on negation; see comments |
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1009 in PyLong_FromLong above. */ |
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1010 abs_ival = (unsigned PY_LONG_LONG)(-1-ival) + 1; |
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1011 negative = 1; |
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1012 } |
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1013 else { |
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1014 abs_ival = (unsigned PY_LONG_LONG)ival; |
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1015 } |
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1016 |
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1017 /* Count the number of Python digits. |
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1018 We used to pick 5 ("big enough for anything"), but that's a |
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1019 waste of time and space given that 5*15 = 75 bits are rarely |
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1020 needed. */ |
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1021 t = abs_ival; |
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1022 while (t) { |
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1023 ++ndigits; |
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1024 t >>= PyLong_SHIFT; |
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1025 } |
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1026 v = _PyLong_New(ndigits); |
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1027 if (v != NULL) { |
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1028 digit *p = v->ob_digit; |
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1029 Py_SIZE(v) = negative ? -ndigits : ndigits; |
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1030 t = abs_ival; |
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1031 while (t) { |
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1032 *p++ = (digit)(t & PyLong_MASK); |
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1033 t >>= PyLong_SHIFT; |
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1034 } |
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1035 } |
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1036 return (PyObject *)v; |
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1037 } |
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1038 |
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1039 /* Create a new long int object from a C unsigned PY_LONG_LONG int. */ |
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1041 PyObject * |
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1042 PyLong_FromUnsignedLongLong(unsigned PY_LONG_LONG ival) |
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1043 { |
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1044 PyLongObject *v; |
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1045 unsigned PY_LONG_LONG t; |
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1046 int ndigits = 0; |
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1047 |
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1048 if (ival < PyLong_BASE) |
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1049 return PyLong_FromLong((long)ival); |
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1050 /* Count the number of Python digits. */ |
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1051 t = (unsigned PY_LONG_LONG)ival; |
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1052 while (t) { |
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1053 ++ndigits; |
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1054 t >>= PyLong_SHIFT; |
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1055 } |
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1056 v = _PyLong_New(ndigits); |
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1057 if (v != NULL) { |
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1058 digit *p = v->ob_digit; |
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1059 Py_SIZE(v) = ndigits; |
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1060 while (ival) { |
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1061 *p++ = (digit)(ival & PyLong_MASK); |
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1062 ival >>= PyLong_SHIFT; |
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1063 } |
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1064 } |
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1065 return (PyObject *)v; |
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1066 } |
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1067 |
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1068 /* Create a new long int object from a C Py_ssize_t. */ |
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1069 |
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1070 PyObject * |
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1071 PyLong_FromSsize_t(Py_ssize_t ival) |
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1072 { |
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1073 PyLongObject *v; |
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1074 size_t abs_ival; |
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1075 size_t t; /* unsigned so >> doesn't propagate sign bit */ |
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1076 int ndigits = 0; |
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1077 int negative = 0; |
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1078 |
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1079 CHECK_SMALL_INT(ival); |
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1080 if (ival < 0) { |
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1081 /* avoid signed overflow when ival = SIZE_T_MIN */ |
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1082 abs_ival = (size_t)(-1-ival)+1; |
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1083 negative = 1; |
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1084 } |
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1085 else { |
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1086 abs_ival = (size_t)ival; |
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1087 } |
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1088 |
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1089 /* Count the number of Python digits. */ |
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1090 t = abs_ival; |
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1091 while (t) { |
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1092 ++ndigits; |
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1093 t >>= PyLong_SHIFT; |
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1094 } |
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1095 v = _PyLong_New(ndigits); |
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1096 if (v != NULL) { |
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1097 digit *p = v->ob_digit; |
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1098 Py_SIZE(v) = negative ? -ndigits : ndigits; |
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1099 t = abs_ival; |
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1100 while (t) { |
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1101 *p++ = (digit)(t & PyLong_MASK); |
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1102 t >>= PyLong_SHIFT; |
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1103 } |
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1104 } |
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1105 return (PyObject *)v; |
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1106 } |
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1107 |
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1108 /* Create a new long int object from a C size_t. */ |
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1109 |
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1110 PyObject * |
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1111 PyLong_FromSize_t(size_t ival) |
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1112 { |
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1113 PyLongObject *v; |
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1114 size_t t; |
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1115 int ndigits = 0; |
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1116 |
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1117 if (ival < PyLong_BASE) |
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1118 return PyLong_FromLong((long)ival); |
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1119 /* Count the number of Python digits. */ |
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1120 t = ival; |
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1121 while (t) { |
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1122 ++ndigits; |
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1123 t >>= PyLong_SHIFT; |
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1124 } |
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1125 v = _PyLong_New(ndigits); |
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1126 if (v != NULL) { |
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1127 digit *p = v->ob_digit; |
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1128 Py_SIZE(v) = ndigits; |
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1129 while (ival) { |
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1130 *p++ = (digit)(ival & PyLong_MASK); |
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1131 ival >>= PyLong_SHIFT; |
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1132 } |
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1133 } |
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1134 return (PyObject *)v; |
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1135 } |
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1136 |
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1137 /* Get a C long long int from a long int object or any object that has an |
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1138 __int__ method. Return -1 and set an error if overflow occurs. */ |
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1139 |
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1140 PY_LONG_LONG |
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1141 PyLong_AsLongLong(PyObject *vv) |
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1142 { |
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1143 PyLongObject *v; |
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1144 PY_LONG_LONG bytes; |
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1145 int res; |
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1146 |
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1147 if (vv == NULL) { |
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1148 PyErr_BadInternalCall(); |
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1149 return -1; |
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1150 } |
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1151 if (!PyLong_Check(vv)) { |
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1152 PyNumberMethods *nb; |
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1153 PyObject *io; |
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1154 if ((nb = vv->ob_type->tp_as_number) == NULL || |
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1155 nb->nb_int == NULL) { |
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1156 PyErr_SetString(PyExc_TypeError, "an integer is required"); |
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1157 return -1; |
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1158 } |
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1159 io = (*nb->nb_int) (vv); |
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1160 if (io == NULL) |
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1161 return -1; |
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1162 if (PyLong_Check(io)) { |
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1163 bytes = PyLong_AsLongLong(io); |
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1164 Py_DECREF(io); |
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1165 return bytes; |
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1166 } |
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1167 Py_DECREF(io); |
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1168 PyErr_SetString(PyExc_TypeError, "integer conversion failed"); |
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1169 return -1; |
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1170 } |
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1171 |
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1172 v = (PyLongObject*)vv; |
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1173 switch(Py_SIZE(v)) { |
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1174 case -1: return -(sdigit)v->ob_digit[0]; |
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1175 case 0: return 0; |
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1176 case 1: return v->ob_digit[0]; |
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1177 } |
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1178 res = _PyLong_AsByteArray((PyLongObject *)vv, (unsigned char *)&bytes, |
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1179 SIZEOF_LONG_LONG, PY_LITTLE_ENDIAN, 1); |
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1180 |
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1181 /* Plan 9 can't handle PY_LONG_LONG in ? : expressions */ |
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1182 if (res < 0) |
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1183 return (PY_LONG_LONG)-1; |
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1184 else |
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1185 return bytes; |
| 18093 | 1186 } |
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1187 |
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1188 /* Get a C unsigned PY_LONG_LONG int from a long int object. |
| 18093 | 1189 Return -1 and set an error if overflow occurs. */ |
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1190 |
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1191 unsigned PY_LONG_LONG |
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1192 PyLong_AsUnsignedLongLong(PyObject *vv) |
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1193 { |
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1194 PyLongObject *v; |
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1195 unsigned PY_LONG_LONG bytes; |
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1196 int res; |
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1197 |
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1198 if (vv == NULL) { |
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1199 PyErr_BadInternalCall(); |
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1200 return (unsigned PY_LONG_LONG)-1; |
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1201 } |
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1202 if (!PyLong_Check(vv)) { |
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1203 PyErr_SetString(PyExc_TypeError, "an integer is required"); |
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1204 return (unsigned PY_LONG_LONG)-1; |
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1205 } |
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1206 |
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1207 v = (PyLongObject*)vv; |
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1208 switch(Py_SIZE(v)) { |
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1209 case 0: return 0; |
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1210 case 1: return v->ob_digit[0]; |
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1211 } |
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1213 res = _PyLong_AsByteArray((PyLongObject *)vv, (unsigned char *)&bytes, |
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1214 SIZEOF_LONG_LONG, PY_LITTLE_ENDIAN, 0); |
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1215 |
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1216 /* Plan 9 can't handle PY_LONG_LONG in ? : expressions */ |
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1217 if (res < 0) |
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1218 return (unsigned PY_LONG_LONG)res; |
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1219 else |
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1220 return bytes; |
| 18093 | 1221 } |
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1223 /* Get a C unsigned long int from a long int object, ignoring the high bits. |
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1224 Returns -1 and sets an error condition if an error occurs. */ |
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1226 static unsigned PY_LONG_LONG |
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1227 _PyLong_AsUnsignedLongLongMask(PyObject *vv) |
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1228 { |
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1229 register PyLongObject *v; |
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1230 unsigned PY_LONG_LONG x; |
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1231 Py_ssize_t i; |
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1232 int sign; |
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1233 |
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1234 if (vv == NULL || !PyLong_Check(vv)) { |
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1235 PyErr_BadInternalCall(); |
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1236 return (unsigned long) -1; |
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1237 } |
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1238 v = (PyLongObject *)vv; |
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1239 switch(Py_SIZE(v)) { |
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1240 case 0: return 0; |
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1241 case 1: return v->ob_digit[0]; |
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1242 } |
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1243 i = Py_SIZE(v); |
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1244 sign = 1; |
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1245 x = 0; |
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1246 if (i < 0) { |
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1247 sign = -1; |
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1248 i = -i; |
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1249 } |
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1250 while (--i >= 0) { |
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1251 x = (x << PyLong_SHIFT) | v->ob_digit[i]; |
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1252 } |
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1253 return x * sign; |
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1254 } |
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1255 |
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1256 unsigned PY_LONG_LONG |
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1257 PyLong_AsUnsignedLongLongMask(register PyObject *op) |
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1258 { |
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1259 PyNumberMethods *nb; |
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1260 PyLongObject *lo; |
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1261 unsigned PY_LONG_LONG val; |
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1262 |
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1263 if (op && PyLong_Check(op)) |
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1264 return _PyLong_AsUnsignedLongLongMask(op); |
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1265 |
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1266 if (op == NULL || (nb = op->ob_type->tp_as_number) == NULL || |
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1267 nb->nb_int == NULL) { |
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1268 PyErr_SetString(PyExc_TypeError, "an integer is required"); |
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1269 return (unsigned PY_LONG_LONG)-1; |
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1270 } |
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1271 |
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1272 lo = (PyLongObject*) (*nb->nb_int) (op); |
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1273 if (lo == NULL) |
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1274 return (unsigned PY_LONG_LONG)-1; |
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1275 if (PyLong_Check(lo)) { |
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1276 val = _PyLong_AsUnsignedLongLongMask((PyObject *)lo); |
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1277 Py_DECREF(lo); |
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1278 if (PyErr_Occurred()) |
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1279 return (unsigned PY_LONG_LONG)-1; |
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1280 return val; |
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1281 } |
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1282 else |
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1283 { |
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1284 Py_DECREF(lo); |
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1285 PyErr_SetString(PyExc_TypeError, |
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1286 "nb_int should return int object"); |
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1287 return (unsigned PY_LONG_LONG)-1; |
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1288 } |
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1289 } |
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1291 /* Get a C long long int from a long int object or any object that has an |
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1292 __int__ method. |
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1293 |
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1294 On overflow, return -1 and set *overflow to 1 or -1 depending on the sign of |
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1295 the result. Otherwise *overflow is 0. |
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1296 |
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1297 For other errors (e.g., TypeError), return -1 and set an error condition. |
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1298 In this case *overflow will be 0. |
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1299 */ |
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1300 |
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1301 PY_LONG_LONG |
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1302 PyLong_AsLongLongAndOverflow(PyObject *vv, int *overflow) |
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1303 { |
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1304 /* This version by Tim Peters */ |
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1305 register PyLongObject *v; |
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1306 unsigned PY_LONG_LONG x, prev; |
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1307 PY_LONG_LONG res; |
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1308 Py_ssize_t i; |
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1309 int sign; |
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1310 int do_decref = 0; /* if nb_int was called */ |
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1312 *overflow = 0; |
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1313 if (vv == NULL) { |
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1314 PyErr_BadInternalCall(); |
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1315 return -1; |
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1316 } |
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1317 |
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1318 if (!PyLong_Check(vv)) { |
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1319 PyNumberMethods *nb; |
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1320 nb = vv->ob_type->tp_as_number; |
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1321 if (nb == NULL || nb->nb_int == NULL) { |
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1322 PyErr_SetString(PyExc_TypeError, |
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1323 "an integer is required"); |
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1325 } |
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1326 vv = (*nb->nb_int) (vv); |
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1327 if (vv == NULL) |
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1329 do_decref = 1; |
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1331 Py_DECREF(vv); |
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1332 PyErr_SetString(PyExc_TypeError, |
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1333 "nb_int should return int object"); |
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1334 return -1; |
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1335 } |
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1336 } |
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1337 |
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1338 res = -1; |
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1339 v = (PyLongObject *)vv; |
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1340 i = Py_SIZE(v); |
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1341 |
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1342 switch (i) { |
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1343 case -1: |
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1344 res = -(sdigit)v->ob_digit[0]; |
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1345 break; |
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1346 case 0: |
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1347 res = 0; |
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1348 break; |
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1349 case 1: |
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1350 res = v->ob_digit[0]; |
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1351 break; |
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1352 default: |
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1353 sign = 1; |
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1354 x = 0; |
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1355 if (i < 0) { |
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1356 sign = -1; |
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1357 i = -(i); |
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1358 } |
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1359 while (--i >= 0) { |
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1360 prev = x; |
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1361 x = (x << PyLong_SHIFT) + v->ob_digit[i]; |
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1362 if ((x >> PyLong_SHIFT) != prev) { |
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1363 *overflow = sign; |
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1364 goto exit; |
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1365 } |
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1366 } |
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1367 /* Haven't lost any bits, but casting to long requires extra |
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1368 * care (see comment above). |
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1369 */ |
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1370 if (x <= (unsigned PY_LONG_LONG)PY_LLONG_MAX) { |
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1371 res = (PY_LONG_LONG)x * sign; |
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1372 } |
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1373 else if (sign < 0 && x == PY_ABS_LLONG_MIN) { |
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1374 res = PY_LLONG_MIN; |
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1375 } |
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1376 else { |
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1377 *overflow = sign; |
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1378 /* res is already set to -1 */ |
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1379 } |
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1380 } |
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1381 exit: |
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1382 if (do_decref) { |
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1383 Py_DECREF(vv); |
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1384 } |
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1385 return res; |
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1386 } |
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1387 |
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1388 #endif /* HAVE_LONG_LONG */ |
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1389 |
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1390 #define CHECK_BINOP(v,w) \ |
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1391 do { \ |
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1392 if (!PyLong_Check(v) || !PyLong_Check(w)) \ |
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1393 Py_RETURN_NOTIMPLEMENTED; \ |
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1394 } while(0) |
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1395 |
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1396 /* bits_in_digit(d) returns the unique integer k such that 2**(k-1) <= d < |
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1397 2**k if d is nonzero, else 0. */ |
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1398 |
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1399 static const unsigned char BitLengthTable[32] = { |
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1400 0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, |
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1401 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 |
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1402 }; |
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1403 |
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1404 static int |
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1405 bits_in_digit(digit d) |
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1406 { |
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1407 int d_bits = 0; |
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1408 while (d >= 32) { |
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1409 d_bits += 6; |
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1410 d >>= 6; |
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1411 } |
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1412 d_bits += (int)BitLengthTable[d]; |
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1413 return d_bits; |
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1414 } |
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1415 |
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1416 /* x[0:m] and y[0:n] are digit vectors, LSD first, m >= n required. x[0:n] |
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1417 * is modified in place, by adding y to it. Carries are propagated as far as |
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1418 * x[m-1], and the remaining carry (0 or 1) is returned. |
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1419 */ |
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1420 static digit |
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Martin v. Löwis <martin@v.loewis.de>
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1421 v_iadd(digit *x, Py_ssize_t m, digit *y, Py_ssize_t n) |
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1422 { |
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1423 Py_ssize_t i; |
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1424 digit carry = 0; |
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1425 |
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1426 assert(m >= n); |
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1427 for (i = 0; i < n; ++i) { |
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1428 carry += x[i] + y[i]; |
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1429 x[i] = carry & PyLong_MASK; |
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1430 carry >>= PyLong_SHIFT; |
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1431 assert((carry & 1) == carry); |
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1432 } |
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1433 for (; carry && i < m; ++i) { |
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1434 carry += x[i]; |
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1435 x[i] = carry & PyLong_MASK; |
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1436 carry >>= PyLong_SHIFT; |
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1437 assert((carry & 1) == carry); |
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1438 } |
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1439 return carry; |
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1440 } |
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1442 /* x[0:m] and y[0:n] are digit vectors, LSD first, m >= n required. x[0:n] |
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1443 * is modified in place, by subtracting y from it. Borrows are propagated as |
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1444 * far as x[m-1], and the remaining borrow (0 or 1) is returned. |
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1445 */ |
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1446 static digit |
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1447 v_isub(digit *x, Py_ssize_t m, digit *y, Py_ssize_t n) |
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1448 { |
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1449 Py_ssize_t i; |
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1450 digit borrow = 0; |
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1451 |
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1452 assert(m >= n); |
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1453 for (i = 0; i < n; ++i) { |
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1454 borrow = x[i] - y[i] - borrow; |
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1455 x[i] = borrow & PyLong_MASK; |
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1456 borrow >>= PyLong_SHIFT; |
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1457 borrow &= 1; /* keep only 1 sign bit */ |
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1458 } |
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1459 for (; borrow && i < m; ++i) { |
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1460 borrow = x[i] - borrow; |
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1461 x[i] = borrow & PyLong_MASK; |
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1462 borrow >>= PyLong_SHIFT; |
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1463 borrow &= 1; |
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1464 } |
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1465 return borrow; |
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1466 } |
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1468 /* Shift digit vector a[0:m] d bits left, with 0 <= d < PyLong_SHIFT. Put |
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1469 * result in z[0:m], and return the d bits shifted out of the top. |
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1470 */ |
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1471 static digit |
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1472 v_lshift(digit *z, digit *a, Py_ssize_t m, int d) |
| 230 | 1473 { |
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1474 Py_ssize_t i; |
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1475 digit carry = 0; |
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1476 |
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1477 assert(0 <= d && d < PyLong_SHIFT); |
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1478 for (i=0; i < m; i++) { |
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1479 twodigits acc = (twodigits)a[i] << d | carry; |
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1480 z[i] = (digit)acc & PyLong_MASK; |
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1481 carry = (digit)(acc >> PyLong_SHIFT); |
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1482 } |
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1483 return carry; |
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1484 } |
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1485 |
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1486 /* Shift digit vector a[0:m] d bits right, with 0 <= d < PyLong_SHIFT. Put |
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1487 * result in z[0:m], and return the d bits shifted out of the bottom. |
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1488 */ |
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1489 static digit |
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1490 v_rshift(digit *z, digit *a, Py_ssize_t m, int d) |
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1491 { |
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1492 Py_ssize_t i; |
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1493 digit carry = 0; |
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1494 digit mask = ((digit)1 << d) - 1U; |
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1495 |
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1496 assert(0 <= d && d < PyLong_SHIFT); |
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1497 for (i=m; i-- > 0;) { |
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1498 twodigits acc = (twodigits)carry << PyLong_SHIFT | a[i]; |
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1499 carry = (digit)acc & mask; |
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1500 z[i] = (digit)(acc >> d); |
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1501 } |
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1502 return carry; |
| 230 | 1503 } |
| 1504 | |
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1505 /* Divide long pin, w/ size digits, by non-zero digit n, storing quotient |
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1506 in pout, and returning the remainder. pin and pout point at the LSD. |
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1507 It's OK for pin == pout on entry, which saves oodles of mallocs/frees in |
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1508 _PyLong_Format, but that should be done with great care since longs are |
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1509 immutable. */ |
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1510 |
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1511 static digit |
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1512 inplace_divrem1(digit *pout, digit *pin, Py_ssize_t size, digit n) |
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1513 { |
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1514 twodigits rem = 0; |
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1515 |
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1516 assert(n > 0 && n <= PyLong_MASK); |
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1517 pin += size; |
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1518 pout += size; |
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1519 while (--size >= 0) { |
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1520 digit hi; |
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1521 rem = (rem << PyLong_SHIFT) | *--pin; |
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1522 *--pout = hi = (digit)(rem / n); |
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1523 rem -= (twodigits)hi * n; |
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1524 } |
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1525 return (digit)rem; |
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1526 } |
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| 230 | 1528 /* Divide a long integer by a digit, returning both the quotient |
| 1529 (as function result) and the remainder (through *prem). | |
| 1530 The sign of a is ignored; n should not be zero. */ | |
| 1531 | |
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1532 static PyLongObject * |
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1533 divrem1(PyLongObject *a, digit n, digit *prem) |
| 230 | 1534 { |
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1535 const Py_ssize_t size = ABS(Py_SIZE(a)); |
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1536 PyLongObject *z; |
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1538 assert(n > 0 && n <= PyLong_MASK); |
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1539 z = _PyLong_New(size); |
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1540 if (z == NULL) |
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1541 return NULL; |
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1542 *prem = inplace_divrem1(z->ob_digit, a->ob_digit, size, n); |
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1543 return long_normalize(z); |
| 230 | 1544 } |
| 1545 | |
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1546 /* Convert a long integer to a base 10 string. Returns a new non-shared |
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1547 string. (Return value is non-shared so that callers can modify the |
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1548 returned value if necessary.) */ |
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1550 static int |
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1551 long_to_decimal_string_internal(PyObject *aa, |
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1552 PyObject **p_output, |
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1553 _PyUnicodeWriter *writer) |
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1554 { |
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1555 PyLongObject *scratch, *a; |
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1556 PyObject *str; |
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1557 Py_ssize_t size, strlen, size_a, i, j; |
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1558 digit *pout, *pin, rem, tenpow; |
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1559 int negative; |
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1560 enum PyUnicode_Kind kind; |
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1561 |
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1562 a = (PyLongObject *)aa; |
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1563 if (a == NULL || !PyLong_Check(a)) { |
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1564 PyErr_BadInternalCall(); |
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1565 return -1; |
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1566 } |
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1567 size_a = ABS(Py_SIZE(a)); |
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1568 negative = Py_SIZE(a) < 0; |
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1569 |
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1570 /* quick and dirty upper bound for the number of digits |
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1571 required to express a in base _PyLong_DECIMAL_BASE: |
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1572 |
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1573 #digits = 1 + floor(log2(a) / log2(_PyLong_DECIMAL_BASE)) |
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1574 |
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1575 But log2(a) < size_a * PyLong_SHIFT, and |
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1576 log2(_PyLong_DECIMAL_BASE) = log2(10) * _PyLong_DECIMAL_SHIFT |
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1577 > 3 * _PyLong_DECIMAL_SHIFT |
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1578 */ |
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1579 if (size_a > PY_SSIZE_T_MAX / PyLong_SHIFT) { |
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1580 PyErr_SetString(PyExc_OverflowError, |
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1581 "long is too large to format"); |
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1582 return -1; |
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1583 } |
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1584 /* the expression size_a * PyLong_SHIFT is now safe from overflow */ |
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1585 size = 1 + size_a * PyLong_SHIFT / (3 * _PyLong_DECIMAL_SHIFT); |
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1586 scratch = _PyLong_New(size); |
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1587 if (scratch == NULL) |
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1588 return -1; |
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1589 |
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1590 /* convert array of base _PyLong_BASE digits in pin to an array of |
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1591 base _PyLong_DECIMAL_BASE digits in pout, following Knuth (TAOCP, |
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1592 Volume 2 (3rd edn), section 4.4, Method 1b). */ |
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1593 pin = a->ob_digit; |
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1594 pout = scratch->ob_digit; |
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1595 size = 0; |
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1596 for (i = size_a; --i >= 0; ) { |
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1597 digit hi = pin[i]; |
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1598 for (j = 0; j < size; j++) { |
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1599 twodigits z = (twodigits)pout[j] << PyLong_SHIFT | hi; |
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1600 hi = (digit)(z / _PyLong_DECIMAL_BASE); |
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1601 pout[j] = (digit)(z - (twodigits)hi * |
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1602 _PyLong_DECIMAL_BASE); |
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1603 } |
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1604 while (hi) { |
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1605 pout[size++] = hi % _PyLong_DECIMAL_BASE; |
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1606 hi /= _PyLong_DECIMAL_BASE; |
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1607 } |
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1608 /* check for keyboard interrupt */ |
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1609 SIGCHECK({ |
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1610 Py_DECREF(scratch); |
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1611 return -1; |
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1612 }); |
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1613 } |
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1614 /* pout should have at least one digit, so that the case when a = 0 |
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1615 works correctly */ |
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1616 if (size == 0) |
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1617 pout[size++] = 0; |
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1618 |
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1619 /* calculate exact length of output string, and allocate */ |
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1620 strlen = negative + 1 + (size - 1) * _PyLong_DECIMAL_SHIFT; |
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1621 tenpow = 10; |
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1622 rem = pout[size-1]; |
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1623 while (rem >= tenpow) { |
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1624 tenpow *= 10; |
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1625 strlen++; |
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1626 } |
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1627 if (writer) { |
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1628 if (_PyUnicodeWriter_Prepare(writer, strlen, '9') == -1) { |
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1629 Py_DECREF(scratch); |
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1630 return -1; |
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1631 } |
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1632 kind = writer->kind; |
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1633 str = NULL; |
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1634 } |
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1635 else { |
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1636 str = PyUnicode_New(strlen, '9'); |
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1637 if (str == NULL) { |
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1638 Py_DECREF(scratch); |
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1639 return -1; |
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1640 } |
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1641 kind = PyUnicode_KIND(str); |
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1642 } |
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1643 |
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1644 #define WRITE_DIGITS(TYPE) \ |
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1645 do { \ |
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1646 if (writer) \ |
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1647 p = (TYPE*)PyUnicode_DATA(writer->buffer) + writer->pos + strlen; \ |
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1648 else \ |
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1649 p = (TYPE*)PyUnicode_DATA(str) + strlen; \ |
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1650 \ |
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1651 /* pout[0] through pout[size-2] contribute exactly \ |
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1652 _PyLong_DECIMAL_SHIFT digits each */ \ |
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1653 for (i=0; i < size - 1; i++) { \ |
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1654 rem = pout[i]; \ |
|
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1655 for (j = 0; j < _PyLong_DECIMAL_SHIFT; j++) { \ |
|
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1656 *--p = '0' + rem % 10; \ |
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1657 rem /= 10; \ |
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1658 } \ |
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1659 } \ |
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1660 /* pout[size-1]: always produce at least one decimal digit */ \ |
|
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1661 rem = pout[i]; \ |
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1662 do { \ |
|
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1663 *--p = '0' + rem % 10; \ |
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1664 rem /= 10; \ |
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1665 } while (rem != 0); \ |
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1666 \ |
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1667 /* and sign */ \ |
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1668 if (negative) \ |
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1669 *--p = '-'; \ |
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1670 \ |
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1671 /* check we've counted correctly */ \ |
|
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1672 if (writer) \ |
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1673 assert(p == ((TYPE*)PyUnicode_DATA(writer->buffer) + writer->pos)); \ |
|
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1674 else \ |
|
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1675 assert(p == (TYPE*)PyUnicode_DATA(str)); \ |
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1676 } while (0) |
|
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1677 |
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1678 /* fill the string right-to-left */ |
|
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1679 if (kind == PyUnicode_1BYTE_KIND) { |
|
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1680 Py_UCS1 *p; |
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1681 WRITE_DIGITS(Py_UCS1); |
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1682 } |
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1683 else if (kind == PyUnicode_2BYTE_KIND) { |
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1684 Py_UCS2 *p; |
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1685 WRITE_DIGITS(Py_UCS2); |
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1686 } |
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1687 else { |
|
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1688 Py_UCS4 *p; |
|
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1689 assert (kind == PyUnicode_4BYTE_KIND); |
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1690 WRITE_DIGITS(Py_UCS4); |
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1691 } |
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1692 #undef WRITE_DIGITS |
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1693 |
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1694 Py_DECREF(scratch); |
|
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1695 if (writer) { |
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1696 writer->pos += strlen; |
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1697 } |
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1698 else { |
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1699 assert(_PyUnicode_CheckConsistency(str, 1)); |
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1700 *p_output = (PyObject *)str; |
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1701 } |
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1702 return 0; |
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1703 } |
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1704 |
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1705 static PyObject * |
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1706 long_to_decimal_string(PyObject *aa) |
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1707 { |
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1708 PyObject *v; |
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1709 if (long_to_decimal_string_internal(aa, &v, NULL) == -1) |
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1710 return NULL; |
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1711 return v; |
|
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1712 } |
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1713 |
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1714 /* Convert a long int object to a string, using a given conversion base, |
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1715 which should be one of 2, 8 or 16. Return a string object. |
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1716 If base is 2, 8 or 16, add the proper prefix '0b', '0o' or '0x' |
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1717 if alternate is nonzero. */ |
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1718 |
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1719 static int |
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1720 long_format_binary(PyObject *aa, int base, int alternate, |
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1721 PyObject **p_output, _PyUnicodeWriter *writer) |
| 230 | 1722 { |
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1723 register PyLongObject *a = (PyLongObject *)aa; |
| 72475 | 1724 PyObject *v; |
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1725 Py_ssize_t sz; |
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1726 Py_ssize_t size_a; |
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1727 enum PyUnicode_Kind kind; |
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1728 int negative; |
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1729 int bits; |
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1730 |
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1731 assert(base == 2 || base == 8 || base == 16); |
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1732 if (a == NULL || !PyLong_Check(a)) { |
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1733 PyErr_BadInternalCall(); |
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1734 return -1; |
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1735 } |
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1736 size_a = ABS(Py_SIZE(a)); |
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1737 negative = Py_SIZE(a) < 0; |
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1738 |
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1739 /* Compute a rough upper bound for the length of the string */ |
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1740 switch (base) { |
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1741 case 16: |
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1742 bits = 4; |
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1743 break; |
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1744 case 8: |
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1745 bits = 3; |
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1746 break; |
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1747 case 2: |
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1748 bits = 1; |
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1749 break; |
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1750 default: |
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1751 assert(0); /* shouldn't ever get here */ |
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1752 bits = 0; /* to silence gcc warning */ |
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1753 } |
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1754 |
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1755 /* Compute exact length 'sz' of output string. */ |
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1756 if (size_a == 0) { |
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1757 sz = 1; |
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1758 } |
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1759 else { |
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1760 Py_ssize_t size_a_in_bits; |
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1761 /* Ensure overflow doesn't occur during computation of sz. */ |
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1762 if (size_a > (PY_SSIZE_T_MAX - 3) / PyLong_SHIFT) { |
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1763 PyErr_SetString(PyExc_OverflowError, |
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1764 "int is too large to format"); |
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1765 return -1; |
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1766 } |
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1767 size_a_in_bits = (size_a - 1) * PyLong_SHIFT + |
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1768 bits_in_digit(a->ob_digit[size_a - 1]); |
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1769 /* Allow 1 character for a '-' sign. */ |
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1770 sz = negative + (size_a_in_bits + (bits - 1)) / bits; |
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1771 } |
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1772 if (alternate) { |
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1773 /* 2 characters for prefix */ |
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1774 sz += 2; |
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1775 } |
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1776 |
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1777 if (writer) { |
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1778 if (_PyUnicodeWriter_Prepare(writer, sz, 'x') == -1) |
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1779 return -1; |
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1780 kind = writer->kind; |
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1781 v = NULL; |
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61467
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1782 } |
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61466
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1783 else { |
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1784 v = PyUnicode_New(sz, 'x'); |
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1785 if (v == NULL) |
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1786 return -1; |
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1787 kind = PyUnicode_KIND(v); |
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1788 } |
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1789 |
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1790 #define WRITE_DIGITS(TYPE) \ |
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1791 do { \ |
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1792 if (writer) \ |
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1793 p = (TYPE*)PyUnicode_DATA(writer->buffer) + writer->pos + sz; \ |
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1794 else \ |
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1795 p = (TYPE*)PyUnicode_DATA(v) + sz; \ |
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1796 \ |
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1797 if (size_a == 0) { \ |
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1798 *--p = '0'; \ |
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1799 } \ |
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1800 else { \ |
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1801 /* JRH: special case for power-of-2 bases */ \ |
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1802 twodigits accum = 0; \ |
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1803 int accumbits = 0; /* # of bits in accum */ \ |
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1804 Py_ssize_t i; \ |
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1805 for (i = 0; i < size_a; ++i) { \ |
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1806 accum |= (twodigits)a->ob_digit[i] << accumbits; \ |
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1807 accumbits += PyLong_SHIFT; \ |
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1808 assert(accumbits >= bits); \ |
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1809 do { \ |
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1810 char cdigit; \ |
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1811 cdigit = (char)(accum & (base - 1)); \ |
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1812 cdigit += (cdigit < 10) ? '0' : 'a'-10; \ |
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1813 *--p = cdigit; \ |
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1814 accumbits -= bits; \ |
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1815 accum >>= bits; \ |
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1816 } while (i < size_a-1 ? accumbits >= bits : accum > 0); \ |
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1817 } \ |
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1818 } \ |
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1819 \ |
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1820 if (alternate) { \ |
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1821 if (base == 16) \ |
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1822 *--p = 'x'; \ |
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1823 else if (base == 8) \ |
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1824 *--p = 'o'; \ |
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1825 else /* (base == 2) */ \ |
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1826 *--p = 'b'; \ |
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1827 *--p = '0'; \ |
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1828 } \ |
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1829 if (negative) \ |
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1830 *--p = '-'; \ |
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1831 if (writer) \ |
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1832 assert(p == ((TYPE*)PyUnicode_DATA(writer->buffer) + writer->pos)); \ |
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1833 else \ |
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1834 assert(p == (TYPE*)PyUnicode_DATA(v)); \ |
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1835 } while (0) |
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1836 |
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1837 if (kind == PyUnicode_1BYTE_KIND) { |
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1838 Py_UCS1 *p; |
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1839 WRITE_DIGITS(Py_UCS1); |
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1840 } |
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1841 else if (kind == PyUnicode_2BYTE_KIND) { |
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1842 Py_UCS2 *p; |
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1843 WRITE_DIGITS(Py_UCS2); |
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1844 } |
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1845 else { |
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1846 Py_UCS4 *p; |
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1847 assert (kind == PyUnicode_4BYTE_KIND); |
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1848 WRITE_DIGITS(Py_UCS4); |
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1849 } |
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1850 #undef WRITE_DIGITS |
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1851 |
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1852 if (writer) { |
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1853 writer->pos += sz; |
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1854 } |
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1855 else { |
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1856 assert(_PyUnicode_CheckConsistency(v, 1)); |
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1857 *p_output = v; |
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1858 } |
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1859 return 0; |
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1860 } |
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1861 |
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1862 PyObject * |
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1863 _PyLong_Format(PyObject *obj, int base) |
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1864 { |
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1865 PyObject *str; |
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1866 int err; |
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1867 if (base == 10) |
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1868 err = long_to_decimal_string_internal(obj, &str, NULL); |
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1869 else |
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1870 err = long_format_binary(obj, base, 1, &str, NULL); |
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1871 if (err == -1) |
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1872 return NULL; |
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1873 return str; |
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1874 } |
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1875 |
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1876 int |
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1877 _PyLong_FormatWriter(_PyUnicodeWriter *writer, |
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1878 PyObject *obj, |
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1879 int base, int alternate) |
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1880 { |
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1881 if (base == 10) |
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1882 return long_to_decimal_string_internal(obj, NULL, writer); |
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1883 else |
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1884 return long_format_binary(obj, base, alternate, NULL, writer); |
| 230 | 1885 } |
| 1886 | |
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1887 /* Table of digit values for 8-bit string -> integer conversion. |
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1888 * '0' maps to 0, ..., '9' maps to 9. |
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1889 * 'a' and 'A' map to 10, ..., 'z' and 'Z' map to 35. |
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1890 * All other indices map to 37. |
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1891 * Note that when converting a base B string, a char c is a legitimate |
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1892 * base B digit iff _PyLong_DigitValue[Py_CHARPyLong_MASK(c)] < B. |
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1893 */ |
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1894 unsigned char _PyLong_DigitValue[256] = { |
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1895 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, |
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1897 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, |
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1898 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 37, 37, 37, 37, 37, 37, |
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1899 37, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, |
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1900 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 37, 37, 37, 37, |
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1901 37, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, |
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1902 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 37, 37, 37, 37, |
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1903 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, |
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1904 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, |
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1905 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, |
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1906 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, |
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1907 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, |
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1908 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, |
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1909 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, |
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1910 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, |
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1911 }; |
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1912 |
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1913 /* *str points to the first digit in a string of base `base` digits. base |
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1914 * is a power of 2 (2, 4, 8, 16, or 32). *str is set to point to the first |
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1915 * non-digit (which may be *str!). A normalized long is returned. |
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1916 * The point to this routine is that it takes time linear in the number of |
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1917 * string characters. |
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1918 */ |
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1919 static PyLongObject * |
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1920 long_from_binary_base(char **str, int base) |
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1921 { |
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1922 char *p = *str; |
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1923 char *start = p; |
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1924 int bits_per_char; |
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1925 Py_ssize_t n; |
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1926 PyLongObject *z; |
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1927 twodigits accum; |
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1928 int bits_in_accum; |
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1929 digit *pdigit; |
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1930 |
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1931 assert(base >= 2 && base <= 32 && (base & (base - 1)) == 0); |
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1932 n = base; |
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1933 for (bits_per_char = -1; n; ++bits_per_char) |
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1934 n >>= 1; |
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1935 /* n <- total # of bits needed, while setting p to end-of-string */ |
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1936 while (_PyLong_DigitValue[Py_CHARMASK(*p)] < base) |
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1937 ++p; |
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1938 *str = p; |
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1939 /* n <- # of Python digits needed, = ceiling(n/PyLong_SHIFT). */ |
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1940 n = (p - start) * bits_per_char + PyLong_SHIFT - 1; |
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1941 if (n / bits_per_char < p - start) { |
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1942 PyErr_SetString(PyExc_ValueError, |
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1943 "int string too large to convert"); |
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1944 return NULL; |
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1945 } |
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1946 n = n / PyLong_SHIFT; |
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1947 z = _PyLong_New(n); |
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1948 if (z == NULL) |
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1949 return NULL; |
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1950 /* Read string from right, and fill in long from left; i.e., |
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1951 * from least to most significant in both. |
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1952 */ |
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1953 accum = 0; |
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1954 bits_in_accum = 0; |
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1955 pdigit = z->ob_digit; |
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1956 while (--p >= start) { |
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1957 int k = (int)_PyLong_DigitValue[Py_CHARMASK(*p)]; |
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1958 assert(k >= 0 && k < base); |
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1959 accum |= (twodigits)k << bits_in_accum; |
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1960 bits_in_accum += bits_per_char; |
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1961 if (bits_in_accum >= PyLong_SHIFT) { |
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1962 *pdigit++ = (digit)(accum & PyLong_MASK); |
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1963 assert(pdigit - z->ob_digit <= n); |
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1964 accum >>= PyLong_SHIFT; |
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1965 bits_in_accum -= PyLong_SHIFT; |
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1966 assert(bits_in_accum < PyLong_SHIFT); |
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1967 } |
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1968 } |
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1969 if (bits_in_accum) { |
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1970 assert(bits_in_accum <= PyLong_SHIFT); |
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1971 *pdigit++ = (digit)accum; |
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1972 assert(pdigit - z->ob_digit <= n); |
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1973 } |
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1974 while (pdigit - z->ob_digit < n) |
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1975 *pdigit++ = 0; |
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1976 return long_normalize(z); |
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1977 } |
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1978 |
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1979 PyObject * |
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1980 PyLong_FromString(char *str, char **pend, int base) |
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1837
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1981 { |
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1982 int sign = 1, error_if_nonzero = 0; |
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1983 char *start, *orig_str = str; |
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1984 PyLongObject *z = NULL; |
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1985 PyObject *strobj; |
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1986 Py_ssize_t slen; |
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1987 |
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1988 if ((base != 0 && base < 2) || base > 36) { |
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1989 PyErr_SetString(PyExc_ValueError, |
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1990 "int() arg 2 must be >= 2 and <= 36"); |
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1991 return NULL; |
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1992 } |
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1993 while (*str != '\0' && isspace(Py_CHARMASK(*str))) |
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1994 str++; |
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1995 if (*str == '+') |
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1996 ++str; |
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1997 else if (*str == '-') { |
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1998 ++str; |
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1999 sign = -1; |
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2000 } |
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2001 if (base == 0) { |
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2002 if (str[0] != '0') |
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2003 base = 10; |
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2004 else if (str[1] == 'x' || str[1] == 'X') |
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2005 base = 16; |
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2006 else if (str[1] == 'o' || str[1] == 'O') |
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2007 base = 8; |
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2008 else if (str[1] == 'b' || str[1] == 'B') |
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2009 base = 2; |
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2010 else { |
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2011 /* "old" (C-style) octal literal, now invalid. |
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2012 it might still be zero though */ |
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2013 error_if_nonzero = 1; |
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2014 base = 10; |
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2015 } |
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2016 } |
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2017 if (str[0] == '0' && |
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2018 ((base == 16 && (str[1] == 'x' || str[1] == 'X')) || |
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2019 (base == 8 && (str[1] == 'o' || str[1] == 'O')) || |
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2020 (base == 2 && (str[1] == 'b' || str[1] == 'B')))) |
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2021 str += 2; |
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2022 |
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2023 start = str; |
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2024 if ((base & (base - 1)) == 0) |
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2025 z = long_from_binary_base(&str, base); |
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2026 else { |
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2027 /*** |
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2028 Binary bases can be converted in time linear in the number of digits, because |
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2029 Python's representation base is binary. Other bases (including decimal!) use |
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2030 the simple quadratic-time algorithm below, complicated by some speed tricks. |
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2031 |
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2032 First some math: the largest integer that can be expressed in N base-B digits |
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2033 is B**N-1. Consequently, if we have an N-digit input in base B, the worst- |
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2034 case number of Python digits needed to hold it is the smallest integer n s.t. |
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2035 |
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2036 BASE**n-1 >= B**N-1 [or, adding 1 to both sides] |
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2037 BASE**n >= B**N [taking logs to base BASE] |
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2038 n >= log(B**N)/log(BASE) = N * log(B)/log(BASE) |
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2039 |
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2040 The static array log_base_BASE[base] == log(base)/log(BASE) so we can compute |
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2041 this quickly. A Python long with that much space is reserved near the start, |
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2042 and the result is computed into it. |
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2043 |
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2044 The input string is actually treated as being in base base**i (i.e., i digits |
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2045 are processed at a time), where two more static arrays hold: |
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2046 |
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2047 convwidth_base[base] = the largest integer i such that base**i <= BASE |
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2048 convmultmax_base[base] = base ** convwidth_base[base] |
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2049 |
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2050 The first of these is the largest i such that i consecutive input digits |
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2051 must fit in a single Python digit. The second is effectively the input |
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2052 base we're really using. |
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2053 |
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2054 Viewing the input as a sequence <c0, c1, ..., c_n-1> of digits in base |
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2055 convmultmax_base[base], the result is "simply" |
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2056 |
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2057 (((c0*B + c1)*B + c2)*B + c3)*B + ... ))) + c_n-1 |
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2058 |
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2059 where B = convmultmax_base[base]. |
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2060 |
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2061 Error analysis: as above, the number of Python digits `n` needed is worst- |
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2062 case |
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2063 |
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2064 n >= N * log(B)/log(BASE) |
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2065 |
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2066 where `N` is the number of input digits in base `B`. This is computed via |
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2067 |
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2068 size_z = (Py_ssize_t)((scan - str) * log_base_BASE[base]) + 1; |
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2069 |
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2070 below. Two numeric concerns are how much space this can waste, and whether |
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2071 the computed result can be too small. To be concrete, assume BASE = 2**15, |
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2072 which is the default (and it's unlikely anyone changes that). |
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2073 |
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2074 Waste isn't a problem: provided the first input digit isn't 0, the difference |
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2075 between the worst-case input with N digits and the smallest input with N |
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2076 digits is about a factor of B, but B is small compared to BASE so at most |
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2077 one allocated Python digit can remain unused on that count. If |
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2078 N*log(B)/log(BASE) is mathematically an exact integer, then truncating that |
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2079 and adding 1 returns a result 1 larger than necessary. However, that can't |
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2080 happen: whenever B is a power of 2, long_from_binary_base() is called |
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2081 instead, and it's impossible for B**i to be an integer power of 2**15 when |
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2082 B is not a power of 2 (i.e., it's impossible for N*log(B)/log(BASE) to be |
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2083 an exact integer when B is not a power of 2, since B**i has a prime factor |
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2084 other than 2 in that case, but (2**15)**j's only prime factor is 2). |
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2085 |
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2086 The computed result can be too small if the true value of N*log(B)/log(BASE) |
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2087 is a little bit larger than an exact integer, but due to roundoff errors (in |
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2088 computing log(B), log(BASE), their quotient, and/or multiplying that by N) |
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2089 yields a numeric result a little less than that integer. Unfortunately, "how |
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2090 close can a transcendental function get to an integer over some range?" |
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2091 questions are generally theoretically intractable. Computer analysis via |
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2092 continued fractions is practical: expand log(B)/log(BASE) via continued |
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2093 fractions, giving a sequence i/j of "the best" rational approximations. Then |
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2094 j*log(B)/log(BASE) is approximately equal to (the integer) i. This shows that |
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2095 we can get very close to being in trouble, but very rarely. For example, |
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2096 76573 is a denominator in one of the continued-fraction approximations to |
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2097 log(10)/log(2**15), and indeed: |
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2098 |
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2099 >>> log(10)/log(2**15)*76573 |
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2100 16958.000000654003 |
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2101 |
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2102 is very close to an integer. If we were working with IEEE single-precision, |
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2103 rounding errors could kill us. Finding worst cases in IEEE double-precision |
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2104 requires better-than-double-precision log() functions, and Tim didn't bother. |
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2105 Instead the code checks to see whether the allocated space is enough as each |
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2106 new Python digit is added, and copies the whole thing to a larger long if not. |
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2107 This should happen extremely rarely, and in fact I don't have a test case |
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2108 that triggers it(!). Instead the code was tested by artificially allocating |
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2109 just 1 digit at the start, so that the copying code was exercised for every |
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2110 digit beyond the first. |
|
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2111 ***/ |
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2112 register twodigits c; /* current input character */ |
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2113 Py_ssize_t size_z; |
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2114 int i; |
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2115 int convwidth; |
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2116 twodigits convmultmax, convmult; |
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2117 digit *pz, *pzstop; |
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2118 char* scan; |
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2119 |
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2120 static double log_base_BASE[37] = {0.0e0,}; |
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2121 static int convwidth_base[37] = {0,}; |
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2122 static twodigits convmultmax_base[37] = {0,}; |
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2123 |
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2124 if (log_base_BASE[base] == 0.0) { |
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2125 twodigits convmax = base; |
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2126 int i = 1; |
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2127 |
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2128 log_base_BASE[base] = (log((double)base) / |
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2129 log((double)PyLong_BASE)); |
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2130 for (;;) { |
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2131 twodigits next = convmax * base; |
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2132 if (next > PyLong_BASE) |
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2133 break; |
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2134 convmax = next; |
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2135 ++i; |
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2136 } |
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2137 convmultmax_base[base] = convmax; |
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2138 assert(i > 0); |
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2139 convwidth_base[base] = i; |
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2140 } |
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2141 |
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2142 /* Find length of the string of numeric characters. */ |
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2143 scan = str; |
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2144 while (_PyLong_DigitValue[Py_CHARMASK(*scan)] < base) |
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2145 ++scan; |
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2146 |
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2147 /* Create a long object that can contain the largest possible |
|
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2148 * integer with this base and length. Note that there's no |
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2149 * need to initialize z->ob_digit -- no slot is read up before |
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2150 * being stored into. |
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2151 */ |
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2152 size_z = (Py_ssize_t)((scan - str) * log_base_BASE[base]) + 1; |
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2153 /* Uncomment next line to test exceedingly rare copy code */ |
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2154 /* size_z = 1; */ |
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2155 assert(size_z > 0); |
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2156 z = _PyLong_New(size_z); |
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2157 if (z == NULL) |
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2158 return NULL; |
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2159 Py_SIZE(z) = 0; |
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2160 |
|
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2161 /* `convwidth` consecutive input digits are treated as a single |
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2162 * digit in base `convmultmax`. |
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2163 */ |
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2164 convwidth = convwidth_base[base]; |
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2165 convmultmax = convmultmax_base[base]; |
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2166 |
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2167 /* Work ;-) */ |
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2168 while (str < scan) { |
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2169 /* grab up to convwidth digits from the input string */ |
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2170 c = (digit)_PyLong_DigitValue[Py_CHARMASK(*str++)]; |
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2171 for (i = 1; i < convwidth && str != scan; ++i, ++str) { |
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2172 c = (twodigits)(c * base + |
|
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2173 (int)_PyLong_DigitValue[Py_CHARMASK(*str)]); |
|
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2174 assert(c < PyLong_BASE); |
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2175 } |
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2176 |
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2177 convmult = convmultmax; |
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2178 /* Calculate the shift only if we couldn't get |
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2179 * convwidth digits. |
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2180 */ |
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2181 if (i != convwidth) { |
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2182 convmult = base; |
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2183 for ( ; i > 1; --i) |
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2184 convmult *= base; |
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2185 } |
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2186 |
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2187 /* Multiply z by convmult, and add c. */ |
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2188 pz = z->ob_digit; |
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2189 pzstop = pz + Py_SIZE(z); |
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2190 for (; pz < pzstop; ++pz) { |
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2191 c += (twodigits)*pz * convmult; |
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2192 *pz = (digit)(c & PyLong_MASK); |
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2193 c >>= PyLong_SHIFT; |
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2194 } |
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2195 /* carry off the current end? */ |
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2196 if (c) { |
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2197 assert(c < PyLong_BASE); |
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2198 if (Py_SIZE(z) < size_z) { |
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2199 *pz = (digit)c; |
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2200 ++Py_SIZE(z); |
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2201 } |
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2202 else { |
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2203 PyLongObject *tmp; |
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2204 /* Extremely rare. Get more space. */ |
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2205 assert(Py_SIZE(z) == size_z); |
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2206 tmp = _PyLong_New(size_z + 1); |
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2207 if (tmp == NULL) { |
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2208 Py_DECREF(z); |
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2209 return NULL; |
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2210 } |
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2211 memcpy(tmp->ob_digit, |
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2212 z->ob_digit, |
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2213 sizeof(digit) * size_z); |
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2214 Py_DECREF(z); |
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2215 z = tmp; |
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2216 z->ob_digit[size_z] = (digit)c; |
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2217 ++size_z; |
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2218 } |
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2219 } |
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2220 } |
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2221 } |
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2222 if (z == NULL) |
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2223 return NULL; |
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2224 if (error_if_nonzero) { |
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2225 /* reset the base to 0, else the exception message |
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2226 doesn't make too much sense */ |
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2227 base = 0; |
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2228 if (Py_SIZE(z) != 0) |
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2229 goto onError; |
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2230 /* there might still be other problems, therefore base |
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2231 remains zero here for the same reason */ |
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2232 } |
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2233 if (str == start) |
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2234 goto onError; |
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2235 if (sign < 0) |
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2236 Py_SIZE(z) = -(Py_SIZE(z)); |
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2237 while (*str && isspace(Py_CHARMASK(*str))) |
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2238 str++; |
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2239 if (*str != '\0') |
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2240 goto onError; |
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2241 if (pend) |
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2242 *pend = str; |
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2243 long_normalize(z); |
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2244 return (PyObject *) maybe_small_long(z); |
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12248
70154e2e9c89
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2245 |
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2246 onError: |
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2247 Py_XDECREF(z); |
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2248 slen = strlen(orig_str) < 200 ? strlen(orig_str) : 200; |
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2249 strobj = PyUnicode_FromStringAndSize(orig_str, slen); |
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2250 if (strobj == NULL) |
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2251 return NULL; |
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2252 PyErr_Format(PyExc_ValueError, |
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2253 "invalid literal for int() with base %d: %R", |
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2254 base, strobj); |
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2255 Py_DECREF(strobj); |
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2256 return NULL; |
|
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2257 } |
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2258 |
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2259 PyObject * |
|
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2260 PyLong_FromUnicode(Py_UNICODE *u, Py_ssize_t length, int base) |
|
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2261 { |
| 72475 | 2262 PyObject *v, *unicode = PyUnicode_FromUnicode(u, length); |
| 2263 if (unicode == NULL) | |
| 2264 return NULL; | |
| 2265 v = PyLong_FromUnicodeObject(unicode, base); | |
| 2266 Py_DECREF(unicode); | |
| 2267 return v; | |
| 2268 } | |
| 2269 | |
| 2270 PyObject * | |
| 2271 PyLong_FromUnicodeObject(PyObject *u, int base) | |
| 2272 { | |
|
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2273 PyObject *result; |
|
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2274 PyObject *asciidig; |
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2275 char *buffer, *end; |
| 72475 | 2276 Py_ssize_t buflen; |
| 2277 | |
| 2278 asciidig = _PyUnicode_TransformDecimalAndSpaceToASCII(u); | |
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2279 if (asciidig == NULL) |
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2280 return NULL; |
| 72475 | 2281 buffer = PyUnicode_AsUTF8AndSize(asciidig, &buflen); |
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2282 if (buffer == NULL) { |
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2283 Py_DECREF(asciidig); |
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2284 return NULL; |
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2285 } |
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2286 result = PyLong_FromString(buffer, &end, base); |
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2287 if (result != NULL && end != buffer + buflen) { |
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2288 PyErr_SetString(PyExc_ValueError, |
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2289 "null byte in argument for int()"); |
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2290 Py_DECREF(result); |
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2291 result = NULL; |
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2292 } |
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2293 Py_DECREF(asciidig); |
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2294 return result; |
| 230 | 2295 } |
| 2296 | |
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2297 /* forward */ |
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2298 static PyLongObject *x_divrem |
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2299 (PyLongObject *, PyLongObject *, PyLongObject **); |
|
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2300 static PyObject *long_long(PyObject *v); |
| 230 | 2301 |
| 2302 /* Long division with remainder, top-level routine */ | |
| 2303 | |
| 613 | 2304 static int |
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2305 long_divrem(PyLongObject *a, PyLongObject *b, |
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2306 PyLongObject **pdiv, PyLongObject **prem) |
| 230 | 2307 { |
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2308 Py_ssize_t size_a = ABS(Py_SIZE(a)), size_b = ABS(Py_SIZE(b)); |
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2309 PyLongObject *z; |
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2310 |
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2311 if (size_b == 0) { |
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2312 PyErr_SetString(PyExc_ZeroDivisionError, |
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2313 "integer division or modulo by zero"); |
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2314 return -1; |
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2315 } |
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2316 if (size_a < size_b || |
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2317 (size_a == size_b && |
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2318 a->ob_digit[size_a-1] < b->ob_digit[size_b-1])) { |
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2319 /* |a| < |b|. */ |
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2320 *pdiv = (PyLongObject*)PyLong_FromLong(0); |
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2321 if (*pdiv == NULL) |
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2322 return -1; |
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2323 Py_INCREF(a); |
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2324 *prem = (PyLongObject *) a; |
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2325 return 0; |
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2326 } |
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2327 if (size_b == 1) { |
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2328 digit rem = 0; |
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2329 z = divrem1(a, b->ob_digit[0], &rem); |
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2330 if (z == NULL) |
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2331 return -1; |
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2332 *prem = (PyLongObject *) PyLong_FromLong((long)rem); |
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2333 if (*prem == NULL) { |
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2334 Py_DECREF(z); |
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2335 return -1; |
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2336 } |
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2337 } |
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2338 else { |
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2339 z = x_divrem(a, b, prem); |
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2340 if (z == NULL) |
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2341 return -1; |
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2342 } |
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2343 /* Set the signs. |
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2344 The quotient z has the sign of a*b; |
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2345 the remainder r has the sign of a, |
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2346 so a = b*z + r. */ |
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2347 if ((Py_SIZE(a) < 0) != (Py_SIZE(b) < 0)) |
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2348 NEGATE(z); |
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2349 if (Py_SIZE(a) < 0 && Py_SIZE(*prem) != 0) |
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2350 NEGATE(*prem); |
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2351 *pdiv = maybe_small_long(z); |
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2352 return 0; |
| 230 | 2353 } |
| 2354 | |
|
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2355 /* Unsigned long division with remainder -- the algorithm. The arguments v1 |
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2356 and w1 should satisfy 2 <= ABS(Py_SIZE(w1)) <= ABS(Py_SIZE(v1)). */ |
| 230 | 2357 |
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2358 static PyLongObject * |
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2359 x_divrem(PyLongObject *v1, PyLongObject *w1, PyLongObject **prem) |
| 230 | 2360 { |
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2361 PyLongObject *v, *w, *a; |
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2362 Py_ssize_t i, k, size_v, size_w; |
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2363 int d; |
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2364 digit wm1, wm2, carry, q, r, vtop, *v0, *vk, *w0, *ak; |
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2365 twodigits vv; |
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2366 sdigit zhi; |
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2367 stwodigits z; |
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2368 |
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2369 /* We follow Knuth [The Art of Computer Programming, Vol. 2 (3rd |
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2370 edn.), section 4.3.1, Algorithm D], except that we don't explicitly |
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2371 handle the special case when the initial estimate q for a quotient |
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2372 digit is >= PyLong_BASE: the max value for q is PyLong_BASE+1, and |
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2373 that won't overflow a digit. */ |
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2374 |
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2375 /* allocate space; w will also be used to hold the final remainder */ |
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2376 size_v = ABS(Py_SIZE(v1)); |
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2377 size_w = ABS(Py_SIZE(w1)); |
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2378 assert(size_v >= size_w && size_w >= 2); /* Assert checks by div() */ |
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2379 v = _PyLong_New(size_v+1); |
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2380 if (v == NULL) { |
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2381 *prem = NULL; |
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2382 return NULL; |
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2383 } |
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2384 w = _PyLong_New(size_w); |
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2385 if (w == NULL) { |
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2386 Py_DECREF(v); |
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2387 *prem = NULL; |
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2388 return NULL; |
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2389 } |
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2390 |
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2391 /* normalize: shift w1 left so that its top digit is >= PyLong_BASE/2. |
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2392 shift v1 left by the same amount. Results go into w and v. */ |
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2393 d = PyLong_SHIFT - bits_in_digit(w1->ob_digit[size_w-1]); |
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2394 carry = v_lshift(w->ob_digit, w1->ob_digit, size_w, d); |
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2395 assert(carry == 0); |
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2396 carry = v_lshift(v->ob_digit, v1->ob_digit, size_v, d); |
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2397 if (carry != 0 || v->ob_digit[size_v-1] >= w->ob_digit[size_w-1]) { |
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2398 v->ob_digit[size_v] = carry; |
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2399 size_v++; |
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2400 } |
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2401 |
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2402 /* Now v->ob_digit[size_v-1] < w->ob_digit[size_w-1], so quotient has |
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2403 at most (and usually exactly) k = size_v - size_w digits. */ |
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2404 k = size_v - size_w; |
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2405 assert(k >= 0); |
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2406 a = _PyLong_New(k); |
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2407 if (a == NULL) { |
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2408 Py_DECREF(w); |
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2409 Py_DECREF(v); |
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2410 *prem = NULL; |
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2411 return NULL; |
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2412 } |
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2413 v0 = v->ob_digit; |
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2414 w0 = w->ob_digit; |
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2415 wm1 = w0[size_w-1]; |
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2416 wm2 = w0[size_w-2]; |
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2417 for (vk = v0+k, ak = a->ob_digit + k; vk-- > v0;) { |
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2418 /* inner loop: divide vk[0:size_w+1] by w0[0:size_w], giving |
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2419 single-digit quotient q, remainder in vk[0:size_w]. */ |
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2420 |
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2421 SIGCHECK({ |
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2422 Py_DECREF(a); |
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2423 Py_DECREF(w); |
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2424 Py_DECREF(v); |
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2425 *prem = NULL; |
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2426 return NULL; |
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2427 }); |
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2428 |
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2429 /* estimate quotient digit q; may overestimate by 1 (rare) */ |
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2430 vtop = vk[size_w]; |
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2431 assert(vtop <= wm1); |
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2432 vv = ((twodigits)vtop << PyLong_SHIFT) | vk[size_w-1]; |
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2433 q = (digit)(vv / wm1); |
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2434 r = (digit)(vv - (twodigits)wm1 * q); /* r = vv % wm1 */ |
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2435 while ((twodigits)wm2 * q > (((twodigits)r << PyLong_SHIFT) |
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2436 | vk[size_w-2])) { |
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2437 --q; |
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2438 r += wm1; |
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2439 if (r >= PyLong_BASE) |
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2440 break; |
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2441 } |
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2442 assert(q <= PyLong_BASE); |
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2443 |
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2444 /* subtract q*w0[0:size_w] from vk[0:size_w+1] */ |
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2445 zhi = 0; |
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2446 for (i = 0; i < size_w; ++i) { |
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2447 /* invariants: -PyLong_BASE <= -q <= zhi <= 0; |
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2448 -PyLong_BASE * q <= z < PyLong_BASE */ |
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2449 z = (sdigit)vk[i] + zhi - |
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2450 (stwodigits)q * (stwodigits)w0[i]; |
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2451 vk[i] = (digit)z & PyLong_MASK; |
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2452 zhi = (sdigit)Py_ARITHMETIC_RIGHT_SHIFT(stwodigits, |
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2453 z, PyLong_SHIFT); |
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2454 } |
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2455 |
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2456 /* add w back if q was too large (this branch taken rarely) */ |
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2457 assert((sdigit)vtop + zhi == -1 || (sdigit)vtop + zhi == 0); |
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2458 if ((sdigit)vtop + zhi < 0) { |
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2459 carry = 0; |
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2460 for (i = 0; i < size_w; ++i) { |
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2461 carry += vk[i] + w0[i]; |
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2462 vk[i] = carry & PyLong_MASK; |
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2463 carry >>= PyLong_SHIFT; |
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2464 } |
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2465 --q; |
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2466 } |
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2467 |
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2468 /* store quotient digit */ |
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2469 assert(q < PyLong_BASE); |
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2470 *--ak = q; |
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2471 } |
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2472 |
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2473 /* unshift remainder; we reuse w to store the result */ |
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2474 carry = v_rshift(w0, v0, size_w, d); |
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2475 assert(carry==0); |
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2476 Py_DECREF(v); |
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2477 |
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2478 *prem = long_normalize(w); |
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2479 return long_normalize(a); |
| 230 | 2480 } |
| 2481 | |
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2482 /* For a nonzero PyLong a, express a in the form x * 2**e, with 0.5 <= |
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2483 abs(x) < 1.0 and e >= 0; return x and put e in *e. Here x is |
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2484 rounded to DBL_MANT_DIG significant bits using round-half-to-even. |
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2485 If a == 0, return 0.0 and set *e = 0. If the resulting exponent |
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2486 e is larger than PY_SSIZE_T_MAX, raise OverflowError and return |
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2487 -1.0. */ |
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2488 |
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2489 /* attempt to define 2.0**DBL_MANT_DIG as a compile-time constant */ |
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2490 #if DBL_MANT_DIG == 53 |
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2491 #define EXP2_DBL_MANT_DIG 9007199254740992.0 |
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2492 #else |
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2493 #define EXP2_DBL_MANT_DIG (ldexp(1.0, DBL_MANT_DIG)) |
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2494 #endif |
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2495 |
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2496 double |
|
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2497 _PyLong_Frexp(PyLongObject *a, Py_ssize_t *e) |
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2498 { |
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2499 Py_ssize_t a_size, a_bits, shift_digits, shift_bits, x_size; |
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2500 /* See below for why x_digits is always large enough. */ |
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2501 digit rem, x_digits[2 + (DBL_MANT_DIG + 1) / PyLong_SHIFT]; |
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|
2502 double dx; |
|
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2503 /* Correction term for round-half-to-even rounding. For a digit x, |
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2504 "x + half_even_correction[x & 7]" gives x rounded to the nearest |
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2505 multiple of 4, rounding ties to a multiple of 8. */ |
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2506 static const int half_even_correction[8] = {0, -1, -2, 1, 0, -1, 2, 1}; |
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2507 |
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2508 a_size = ABS(Py_SIZE(a)); |
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2509 if (a_size == 0) { |
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2510 /* Special case for 0: significand 0.0, exponent 0. */ |
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2511 *e = 0; |
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2512 return 0.0; |
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2513 } |
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2514 a_bits = bits_in_digit(a->ob_digit[a_size-1]); |
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2515 /* The following is an overflow-free version of the check |
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2516 "if ((a_size - 1) * PyLong_SHIFT + a_bits > PY_SSIZE_T_MAX) ..." */ |
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2517 if (a_size >= (PY_SSIZE_T_MAX - 1) / PyLong_SHIFT + 1 && |
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2518 (a_size > (PY_SSIZE_T_MAX - 1) / PyLong_SHIFT + 1 || |
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2519 a_bits > (PY_SSIZE_T_MAX - 1) % PyLong_SHIFT + 1)) |
|
61491
829a86e11bd7
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|
2520 goto overflow; |
|
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2521 a_bits = (a_size - 1) * PyLong_SHIFT + a_bits; |
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2522 |
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2523 /* Shift the first DBL_MANT_DIG + 2 bits of a into x_digits[0:x_size] |
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2524 (shifting left if a_bits <= DBL_MANT_DIG + 2). |
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2525 |
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2526 Number of digits needed for result: write // for floor division. |
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2527 Then if shifting left, we end up using |
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2528 |
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2529 1 + a_size + (DBL_MANT_DIG + 2 - a_bits) // PyLong_SHIFT |
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2530 |
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2531 digits. If shifting right, we use |
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2532 |
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2533 a_size - (a_bits - DBL_MANT_DIG - 2) // PyLong_SHIFT |
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2534 |
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2535 digits. Using a_size = 1 + (a_bits - 1) // PyLong_SHIFT along with |
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2536 the inequalities |
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2537 |
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2538 m // PyLong_SHIFT + n // PyLong_SHIFT <= (m + n) // PyLong_SHIFT |
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2539 m // PyLong_SHIFT - n // PyLong_SHIFT <= |
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2540 1 + (m - n - 1) // PyLong_SHIFT, |
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2541 |
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2542 valid for any integers m and n, we find that x_size satisfies |
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2543 |
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2544 x_size <= 2 + (DBL_MANT_DIG + 1) // PyLong_SHIFT |
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2545 |
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2546 in both cases. |
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2547 */ |
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2548 if (a_bits <= DBL_MANT_DIG + 2) { |
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2549 shift_digits = (DBL_MANT_DIG + 2 - a_bits) / PyLong_SHIFT; |
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2550 shift_bits = (DBL_MANT_DIG + 2 - a_bits) % PyLong_SHIFT; |
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2551 x_size = 0; |
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2552 while (x_size < shift_digits) |
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2553 x_digits[x_size++] = 0; |
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2554 rem = v_lshift(x_digits + x_size, a->ob_digit, a_size, |
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2555 (int)shift_bits); |
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2556 x_size += a_size; |
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2557 x_digits[x_size++] = rem; |
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2558 } |
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2559 else { |
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2560 shift_digits = (a_bits - DBL_MANT_DIG - 2) / PyLong_SHIFT; |
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2561 shift_bits = (a_bits - DBL_MANT_DIG - 2) % PyLong_SHIFT; |
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2562 rem = v_rshift(x_digits, a->ob_digit + shift_digits, |
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2563 a_size - shift_digits, (int)shift_bits); |
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2564 x_size = a_size - shift_digits; |
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2565 /* For correct rounding below, we need the least significant |
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2566 bit of x to be 'sticky' for this shift: if any of the bits |
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2567 shifted out was nonzero, we set the least significant bit |
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2568 of x. */ |
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2569 if (rem) |
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2570 x_digits[0] |= 1; |
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2571 else |
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2572 while (shift_digits > 0) |
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2573 if (a->ob_digit[--shift_digits]) { |
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2574 x_digits[0] |= 1; |
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2575 break; |
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2576 } |
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2577 } |
|
72510
b534b56379cb
Use the new Py_ARRAY_LENGTH macro
Victor Stinner <victor.stinner@haypocalc.com>
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2578 assert(1 <= x_size && x_size <= (Py_ssize_t)Py_ARRAY_LENGTH(x_digits)); |
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2579 |
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2580 /* Round, and convert to double. */ |
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2581 x_digits[0] += half_even_correction[x_digits[0] & 7]; |
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2582 dx = x_digits[--x_size]; |
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2583 while (x_size > 0) |
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2584 dx = dx * PyLong_BASE + x_digits[--x_size]; |
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2585 |
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2586 /* Rescale; make correction if result is 1.0. */ |
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2587 dx /= 4.0 * EXP2_DBL_MANT_DIG; |
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2588 if (dx == 1.0) { |
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2589 if (a_bits == PY_SSIZE_T_MAX) |
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2590 goto overflow; |
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2591 dx = 0.5; |
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|
2592 a_bits += 1; |
|
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2593 } |
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2594 |
|
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2595 *e = a_bits; |
|
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|
2596 return Py_SIZE(a) < 0 ? -dx : dx; |
|
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2597 |
|
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2598 overflow: |
|
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|
2599 /* exponent > PY_SSIZE_T_MAX */ |
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2600 PyErr_SetString(PyExc_OverflowError, |
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2601 "huge integer: number of bits overflows a Py_ssize_t"); |
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2602 *e = 0; |
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2603 return -1.0; |
|
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2604 } |
|
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2605 |
|
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2606 /* Get a C double from a long int object. Rounds to the nearest double, |
|
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2607 using the round-half-to-even rule in the case of a tie. */ |
|
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2608 |
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2609 double |
|
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2610 PyLong_AsDouble(PyObject *v) |
|
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2611 { |
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2612 Py_ssize_t exponent; |
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2613 double x; |
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2614 |
|
72312
4a66a35da3fd
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Nadeem Vawda <nadeem.vawda@gmail.com>
parents:
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|
2615 if (v == NULL) { |
|
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2616 PyErr_BadInternalCall(); |
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2617 return -1.0; |
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2618 } |
|
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Nadeem Vawda <nadeem.vawda@gmail.com>
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|
2619 if (!PyLong_Check(v)) { |
|
4a66a35da3fd
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Nadeem Vawda <nadeem.vawda@gmail.com>
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|
2620 PyErr_SetString(PyExc_TypeError, "an integer is required"); |
|
4a66a35da3fd
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Nadeem Vawda <nadeem.vawda@gmail.com>
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|
2621 return -1.0; |
|
4a66a35da3fd
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Nadeem Vawda <nadeem.vawda@gmail.com>
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|
2622 } |
|
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2623 x = _PyLong_Frexp((PyLongObject *)v, &exponent); |
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2624 if ((x == -1.0 && PyErr_Occurred()) || exponent > DBL_MAX_EXP) { |
|
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2625 PyErr_SetString(PyExc_OverflowError, |
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2626 "long int too large to convert to float"); |
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2627 return -1.0; |
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2628 } |
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2629 return ldexp(x, (int)exponent); |
|
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2630 } |
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2631 |
| 230 | 2632 /* Methods */ |
| 2633 | |
| 2634 static void | |
|
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a503af7e7fb7
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Tim Peters <tim.peters@gmail.com>
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|
2635 long_dealloc(PyObject *v) |
| 230 | 2636 { |
|
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2637 Py_TYPE(v)->tp_free(v); |
| 230 | 2638 } |
| 2639 | |
| 2640 static int | |
|
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|
2641 long_compare(PyLongObject *a, PyLongObject *b) |
| 230 | 2642 { |
|
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2643 Py_ssize_t sign; |
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2644 |
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2645 if (Py_SIZE(a) != Py_SIZE(b)) { |
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2646 sign = Py_SIZE(a) - Py_SIZE(b); |
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2647 } |
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2648 else { |
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2649 Py_ssize_t i = ABS(Py_SIZE(a)); |
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2650 while (--i >= 0 && a->ob_digit[i] == b->ob_digit[i]) |
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2651 ; |
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2652 if (i < 0) |
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2653 sign = 0; |
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2654 else { |
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2655 sign = (sdigit)a->ob_digit[i] - (sdigit)b->ob_digit[i]; |
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2656 if (Py_SIZE(a) < 0) |
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2657 sign = -sign; |
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2658 } |
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2659 } |
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2660 return sign < 0 ? -1 : sign > 0 ? 1 : 0; |
| 230 | 2661 } |
| 2662 | |
|
50241
45bea584694e
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Antoine Pitrou <solipsis@pitrou.net>
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|
2663 #define TEST_COND(cond) \ |
|
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2664 ((cond) ? Py_True : Py_False) |
|
50241
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Antoine Pitrou <solipsis@pitrou.net>
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|
2665 |
|
39644
13d5e5f0e993
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Guido van Rossum <guido@python.org>
parents:
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|
2666 static PyObject * |
|
13d5e5f0e993
Restructure comparison dramatically. There is no longer a default
Guido van Rossum <guido@python.org>
parents:
39610
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|
2667 long_richcompare(PyObject *self, PyObject *other, int op) |
|
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Guido van Rossum <guido@python.org>
parents:
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2668 { |
|
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2669 int result; |
|
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2670 PyObject *v; |
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2671 CHECK_BINOP(self, other); |
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2672 if (self == other) |
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2673 result = 0; |
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2674 else |
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2675 result = long_compare((PyLongObject*)self, (PyLongObject*)other); |
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2676 /* Convert the return value to a Boolean */ |
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2677 switch (op) { |
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2678 case Py_EQ: |
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2679 v = TEST_COND(result == 0); |
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2680 break; |
|
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2681 case Py_NE: |
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2682 v = TEST_COND(result != 0); |
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2683 break; |
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2684 case Py_LE: |
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2685 v = TEST_COND(result <= 0); |
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2686 break; |
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2687 case Py_GE: |
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2688 v = TEST_COND(result >= 0); |
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2689 break; |
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2690 case Py_LT: |
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2691 v = TEST_COND(result == -1); |
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2692 break; |
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2693 case Py_GT: |
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2694 v = TEST_COND(result == 1); |
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2695 break; |
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2696 default: |
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2697 PyErr_BadArgument(); |
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2698 return NULL; |
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2699 } |
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2700 Py_INCREF(v); |
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2701 return v; |
|
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Guido van Rossum <guido@python.org>
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2702 } |
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2703 |
|
65494
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make hashes always the size of pointers; introduce Py_hash_t #9778
Benjamin Peterson <benjamin@python.org>
parents:
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|
2704 static Py_hash_t |
|
13406
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Tim Peters <tim.peters@gmail.com>
parents:
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|
2705 long_hash(PyLongObject *v) |
|
1257
1cabc2b6c970
* Changed all copyright messages to include 1993.
Guido van Rossum <guido@python.org>
parents:
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2706 { |
|
65603
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follow up to #9778: define and use an unsigned hash type
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2707 Py_uhash_t x; |
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2708 Py_ssize_t i; |
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2709 int sign; |
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2710 |
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|
2711 i = Py_SIZE(v); |
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|
2712 switch(i) { |
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2713 case -1: return v->ob_digit[0]==1 ? -2 : -(sdigit)v->ob_digit[0]; |
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|
2714 case 0: return 0; |
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2715 case 1: return v->ob_digit[0]; |
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2716 } |
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|
2717 sign = 1; |
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2718 x = 0; |
|
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2719 if (i < 0) { |
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2720 sign = -1; |
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2721 i = -(i); |
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2722 } |
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|
2723 while (--i >= 0) { |
|
61873
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Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
2724 /* Here x is a quantity in the range [0, _PyHASH_MODULUS); we |
|
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Mark Dickinson <dickinsm@gmail.com>
parents:
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|
2725 want to compute x * 2**PyLong_SHIFT + v->ob_digit[i] modulo |
|
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parents:
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|
2726 _PyHASH_MODULUS. |
|
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parents:
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2727 |
|
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parents:
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|
2728 The computation of x * 2**PyLong_SHIFT % _PyHASH_MODULUS |
|
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|
2729 amounts to a rotation of the bits of x. To see this, write |
|
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2730 |
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parents:
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|
2731 x * 2**PyLong_SHIFT = y * 2**_PyHASH_BITS + z |
|
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|
2732 |
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parents:
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|
2733 where y = x >> (_PyHASH_BITS - PyLong_SHIFT) gives the top |
|
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parents:
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|
2734 PyLong_SHIFT bits of x (those that are shifted out of the |
|
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parents:
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|
2735 original _PyHASH_BITS bits, and z = (x << PyLong_SHIFT) & |
|
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|
2736 _PyHASH_MODULUS gives the bottom _PyHASH_BITS - PyLong_SHIFT |
|
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|
2737 bits of x, shifted up. Then since 2**_PyHASH_BITS is |
|
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|
2738 congruent to 1 modulo _PyHASH_MODULUS, y*2**_PyHASH_BITS is |
|
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|
2739 congruent to y modulo _PyHASH_MODULUS. So |
|
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Mark Dickinson <dickinsm@gmail.com>
parents:
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|
2740 |
|
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Mark Dickinson <dickinsm@gmail.com>
parents:
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|
2741 x * 2**PyLong_SHIFT = y + z (mod _PyHASH_MODULUS). |
|
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|
2742 |
|
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|
2743 The right-hand side is just the result of rotating the |
|
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parents:
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|
2744 _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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|
2745 not all _PyHASH_BITS bits of x are 1s, the same is true |
|
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|
2746 after rotation, so 0 <= y+z < _PyHASH_MODULUS and y + z is |
|
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|
2747 the reduction of x*2**PyLong_SHIFT modulo |
|
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|
2748 _PyHASH_MODULUS. */ |
|
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|
2749 x = ((x << PyLong_SHIFT) & _PyHASH_MODULUS) | |
|
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|
2750 (x >> (_PyHASH_BITS - PyLong_SHIFT)); |
|
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|
2751 x += v->ob_digit[i]; |
|
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|
2752 if (x >= _PyHASH_MODULUS) |
|
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|
2753 x -= _PyHASH_MODULUS; |
|
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2754 } |
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|
2755 x = x * sign; |
|
65603
be8ae6b17539
follow up to #9778: define and use an unsigned hash type
Benjamin Peterson <benjamin@python.org>
parents:
65494
diff
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|
2756 if (x == (Py_uhash_t)-1) |
|
be8ae6b17539
follow up to #9778: define and use an unsigned hash type
Benjamin Peterson <benjamin@python.org>
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65494
diff
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|
2757 x = (Py_uhash_t)-2; |
|
65494
e8969fb822fc
make hashes always the size of pointers; introduce Py_hash_t #9778
Benjamin Peterson <benjamin@python.org>
parents:
62154
diff
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|
2758 return (Py_hash_t)x; |
|
1257
1cabc2b6c970
* Changed all copyright messages to include 1993.
Guido van Rossum <guido@python.org>
parents:
1252
diff
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|
2759 } |
|
1cabc2b6c970
* Changed all copyright messages to include 1993.
Guido van Rossum <guido@python.org>
parents:
1252
diff
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|
2760 |
|
1cabc2b6c970
* Changed all copyright messages to include 1993.
Guido van Rossum <guido@python.org>
parents:
1252
diff
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|
2761 |
| 230 | 2762 /* Add the absolute values of two long integers. */ |
| 2763 | |
|
5396
d1447950fa04
Quickly renamed the last directory.
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|
2764 static PyLongObject * |
|
13406
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|
2765 x_add(PyLongObject *a, PyLongObject *b) |
| 230 | 2766 { |
|
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2767 Py_ssize_t size_a = ABS(Py_SIZE(a)), size_b = ABS(Py_SIZE(b)); |
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|
2768 PyLongObject *z; |
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|
2769 Py_ssize_t i; |
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|
2770 digit carry = 0; |
|
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|
2771 |
|
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|
2772 /* Ensure a is the larger of the two: */ |
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2773 if (size_a < size_b) { |
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|
2774 { PyLongObject *temp = a; a = b; b = temp; } |
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|
2775 { Py_ssize_t size_temp = size_a; |
|
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|
2776 size_a = size_b; |
|
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|
2777 size_b = size_temp; } |
|
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|
2778 } |
|
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|
2779 z = _PyLong_New(size_a+1); |
|
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|
2780 if (z == NULL) |
|
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|
2781 return NULL; |
|
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|
2782 for (i = 0; i < size_b; ++i) { |
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|
2783 carry += a->ob_digit[i] + b->ob_digit[i]; |
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|
2784 z->ob_digit[i] = carry & PyLong_MASK; |
|
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|
2785 carry >>= PyLong_SHIFT; |
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2786 } |
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2787 for (; i < size_a; ++i) { |
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|
2788 carry += a->ob_digit[i]; |
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|
2789 z->ob_digit[i] = carry & PyLong_MASK; |
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|
2790 carry >>= PyLong_SHIFT; |
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2791 } |
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2792 z->ob_digit[i] = carry; |
|
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|
2793 return long_normalize(z); |
| 230 | 2794 } |
| 2795 | |
| 2796 /* Subtract the absolute values of two integers. */ | |
| 2797 | |
|
5396
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|
2798 static PyLongObject * |
|
13406
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Tim Peters <tim.peters@gmail.com>
parents:
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|
2799 x_sub(PyLongObject *a, PyLongObject *b) |
| 230 | 2800 { |
|
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2801 Py_ssize_t size_a = ABS(Py_SIZE(a)), size_b = ABS(Py_SIZE(b)); |
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|
2802 PyLongObject *z; |
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2803 Py_ssize_t i; |
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2804 int sign = 1; |
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2805 digit borrow = 0; |
|
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2806 |
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2807 /* Ensure a is the larger of the two: */ |
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2808 if (size_a < size_b) { |
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2809 sign = -1; |
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2810 { PyLongObject *temp = a; a = b; b = temp; } |
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2811 { Py_ssize_t size_temp = size_a; |
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2812 size_a = size_b; |
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2813 size_b = size_temp; } |
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2814 } |
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2815 else if (size_a == size_b) { |
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2816 /* Find highest digit where a and b differ: */ |
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2817 i = size_a; |
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2818 while (--i >= 0 && a->ob_digit[i] == b->ob_digit[i]) |
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2819 ; |
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2820 if (i < 0) |
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2821 return (PyLongObject *)PyLong_FromLong(0); |
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|
2822 if (a->ob_digit[i] < b->ob_digit[i]) { |
|
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changeset
|
2823 sign = -1; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2824 { PyLongObject *temp = a; a = b; b = temp; } |
|
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|
2825 } |
|
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changeset
|
2826 size_a = size_b = i+1; |
|
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|
2827 } |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2828 z = _PyLong_New(size_a); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2829 if (z == NULL) |
|
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|
2830 return NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
2831 for (i = 0; i < size_b; ++i) { |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2832 /* The following assumes unsigned arithmetic |
|
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|
2833 works module 2**N for some N>PyLong_SHIFT. */ |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2834 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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|
2835 z->ob_digit[i] = borrow & PyLong_MASK; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
2836 borrow >>= PyLong_SHIFT; |
|
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|
2837 borrow &= 1; /* Keep only one sign bit */ |
|
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|
2838 } |
|
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|
2839 for (; i < size_a; ++i) { |
|
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|
2840 borrow = a->ob_digit[i] - borrow; |
|
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|
2841 z->ob_digit[i] = borrow & PyLong_MASK; |
|
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|
2842 borrow >>= PyLong_SHIFT; |
|
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|
2843 borrow &= 1; /* Keep only one sign bit */ |
|
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2844 } |
|
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|
2845 assert(borrow == 0); |
|
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2846 if (sign < 0) |
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|
2847 NEGATE(z); |
|
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|
2848 return long_normalize(z); |
| 230 | 2849 } |
| 2850 | |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
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|
2851 static PyObject * |
| 43313 | 2852 long_add(PyLongObject *a, PyLongObject *b) |
| 230 | 2853 { |
|
61467
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|
2854 PyLongObject *z; |
|
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2855 |
|
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|
2856 CHECK_BINOP(a, b); |
|
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2857 |
|
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|
2858 if (ABS(Py_SIZE(a)) <= 1 && ABS(Py_SIZE(b)) <= 1) { |
|
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|
2859 PyObject *result = PyLong_FromLong(MEDIUM_VALUE(a) + |
|
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|
2860 MEDIUM_VALUE(b)); |
|
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|
2861 return result; |
|
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|
2862 } |
|
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|
2863 if (Py_SIZE(a) < 0) { |
|
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2864 if (Py_SIZE(b) < 0) { |
|
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|
2865 z = x_add(a, b); |
|
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|
2866 if (z != NULL && Py_SIZE(z) != 0) |
|
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|
2867 Py_SIZE(z) = -(Py_SIZE(z)); |
|
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2868 } |
|
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|
2869 else |
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|
2870 z = x_sub(b, a); |
|
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|
2871 } |
|
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|
2872 else { |
|
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|
2873 if (Py_SIZE(b) < 0) |
|
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|
2874 z = x_sub(a, b); |
|
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2875 else |
|
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|
2876 z = x_add(a, b); |
|
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|
2877 } |
|
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|
2878 return (PyObject *)z; |
| 230 | 2879 } |
| 2880 | |
|
5396
d1447950fa04
Quickly renamed the last directory.
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parents:
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|
2881 static PyObject * |
| 43313 | 2882 long_sub(PyLongObject *a, PyLongObject *b) |
| 230 | 2883 { |
|
61467
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|
2884 PyLongObject *z; |
|
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|
2885 |
|
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|
2886 CHECK_BINOP(a, b); |
|
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|
2887 |
|
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|
2888 if (ABS(Py_SIZE(a)) <= 1 && ABS(Py_SIZE(b)) <= 1) { |
|
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|
2889 PyObject* r; |
|
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|
2890 r = PyLong_FromLong(MEDIUM_VALUE(a)-MEDIUM_VALUE(b)); |
|
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|
2891 return r; |
|
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|
2892 } |
|
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|
2893 if (Py_SIZE(a) < 0) { |
|
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|
2894 if (Py_SIZE(b) < 0) |
|
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|
2895 z = x_sub(a, b); |
|
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|
2896 else |
|
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|
2897 z = x_add(a, b); |
|
f197407bdba2
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|
2898 if (z != NULL && Py_SIZE(z) != 0) |
|
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|
2899 Py_SIZE(z) = -(Py_SIZE(z)); |
|
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|
2900 } |
|
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|
2901 else { |
|
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|
2902 if (Py_SIZE(b) < 0) |
|
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|
2903 z = x_add(a, b); |
|
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|
2904 else |
|
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|
2905 z = x_sub(a, b); |
|
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|
2906 } |
|
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|
2907 return (PyObject *)z; |
| 230 | 2908 } |
| 2909 | |
|
24745
ba035f4b47c1
Cautious introduction of a patch that started from
Tim Peters <tim.peters@gmail.com>
parents:
24280
diff
changeset
|
2910 /* Grade school multiplication, ignoring the signs. |
|
ba035f4b47c1
Cautious introduction of a patch that started from
Tim Peters <tim.peters@gmail.com>
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diff
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|
2911 * Returns the absolute value of the product, or NULL if error. |
|
ba035f4b47c1
Cautious introduction of a patch that started from
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diff
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|
2912 */ |
|
ba035f4b47c1
Cautious introduction of a patch that started from
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diff
changeset
|
2913 static PyLongObject * |
|
ba035f4b47c1
Cautious introduction of a patch that started from
Tim Peters <tim.peters@gmail.com>
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24280
diff
changeset
|
2914 x_mul(PyLongObject *a, PyLongObject *b) |
|
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
|
2915 { |
|
61467
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|
2916 PyLongObject *z; |
|
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|
2917 Py_ssize_t size_a = ABS(Py_SIZE(a)); |
|
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|
2918 Py_ssize_t size_b = ABS(Py_SIZE(b)); |
|
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|
2919 Py_ssize_t i; |
|
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2920 |
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|
2921 z = _PyLong_New(size_a + size_b); |
|
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|
2922 if (z == NULL) |
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|
2923 return NULL; |
|
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|
2924 |
|
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|
2925 memset(z->ob_digit, 0, Py_SIZE(z) * sizeof(digit)); |
|
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|
2926 if (a == b) { |
|
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|
2927 /* Efficient squaring per HAC, Algorithm 14.16: |
|
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|
2928 * http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf |
|
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|
2929 * Gives slightly less than a 2x speedup when a == b, |
|
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|
2930 * via exploiting that each entry in the multiplication |
|
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|
2931 * pyramid appears twice (except for the size_a squares). |
|
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2932 */ |
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|
2933 for (i = 0; i < size_a; ++i) { |
|
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|
2934 twodigits carry; |
|
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|
2935 twodigits f = a->ob_digit[i]; |
|
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|
2936 digit *pz = z->ob_digit + (i << 1); |
|
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|
2937 digit *pa = a->ob_digit + i + 1; |
|
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2938 digit *paend = a->ob_digit + size_a; |
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2939 |
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2940 SIGCHECK({ |
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2941 Py_DECREF(z); |
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2942 return NULL; |
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2943 }); |
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2944 |
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2945 carry = *pz + f * f; |
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2946 *pz++ = (digit)(carry & PyLong_MASK); |
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2947 carry >>= PyLong_SHIFT; |
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2948 assert(carry <= PyLong_MASK); |
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2949 |
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2950 /* Now f is added in twice in each column of the |
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2951 * pyramid it appears. Same as adding f<<1 once. |
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2952 */ |
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2953 f <<= 1; |
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2954 while (pa < paend) { |
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2955 carry += *pz + *pa++ * f; |
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2956 *pz++ = (digit)(carry & PyLong_MASK); |
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2957 carry >>= PyLong_SHIFT; |
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2958 assert(carry <= (PyLong_MASK << 1)); |
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2959 } |
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2960 if (carry) { |
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2961 carry += *pz; |
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2962 *pz++ = (digit)(carry & PyLong_MASK); |
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2963 carry >>= PyLong_SHIFT; |
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2964 } |
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2965 if (carry) |
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2966 *pz += (digit)(carry & PyLong_MASK); |
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2967 assert((carry >> PyLong_SHIFT) == 0); |
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2968 } |
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2969 } |
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2970 else { /* a is not the same as b -- gradeschool long mult */ |
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2971 for (i = 0; i < size_a; ++i) { |
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2972 twodigits carry = 0; |
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2973 twodigits f = a->ob_digit[i]; |
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2974 digit *pz = z->ob_digit + i; |
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2975 digit *pb = b->ob_digit; |
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2976 digit *pbend = b->ob_digit + size_b; |
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2977 |
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2978 SIGCHECK({ |
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2979 Py_DECREF(z); |
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2980 return NULL; |
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2981 }); |
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2982 |
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2983 while (pb < pbend) { |
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2984 carry += *pz + *pb++ * f; |
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2985 *pz++ = (digit)(carry & PyLong_MASK); |
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2986 carry >>= PyLong_SHIFT; |
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2987 assert(carry <= PyLong_MASK); |
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2988 } |
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2989 if (carry) |
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2990 *pz += (digit)(carry & PyLong_MASK); |
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2991 assert((carry >> PyLong_SHIFT) == 0); |
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2992 } |
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2993 } |
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2994 return long_normalize(z); |
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2995 } |
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2996 |
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2997 /* A helper for Karatsuba multiplication (k_mul). |
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2998 Takes a long "n" and an integer "size" representing the place to |
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2999 split, and sets low and high such that abs(n) == (high << size) + low, |
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3000 viewing the shift as being by digits. The sign bit is ignored, and |
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3001 the return values are >= 0. |
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3002 Returns 0 on success, -1 on failure. |
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3003 */ |
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3004 static int |
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3005 kmul_split(PyLongObject *n, |
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3006 Py_ssize_t size, |
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3007 PyLongObject **high, |
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3008 PyLongObject **low) |
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3009 { |
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3010 PyLongObject *hi, *lo; |
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3011 Py_ssize_t size_lo, size_hi; |
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3012 const Py_ssize_t size_n = ABS(Py_SIZE(n)); |
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3013 |
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3014 size_lo = MIN(size_n, size); |
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3015 size_hi = size_n - size_lo; |
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3016 |
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3017 if ((hi = _PyLong_New(size_hi)) == NULL) |
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3018 return -1; |
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3019 if ((lo = _PyLong_New(size_lo)) == NULL) { |
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3020 Py_DECREF(hi); |
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3021 return -1; |
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3022 } |
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3023 |
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3024 memcpy(lo->ob_digit, n->ob_digit, size_lo * sizeof(digit)); |
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3025 memcpy(hi->ob_digit, n->ob_digit + size_lo, size_hi * sizeof(digit)); |
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3026 |
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3027 *high = long_normalize(hi); |
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3028 *low = long_normalize(lo); |
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3029 return 0; |
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3030 } |
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3031 |
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|
3032 static PyLongObject *k_lopsided_mul(PyLongObject *a, PyLongObject *b); |
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3033 |
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3034 /* Karatsuba multiplication. Ignores the input signs, and returns the |
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3035 * absolute value of the product (or NULL if error). |
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3036 * See Knuth Vol. 2 Chapter 4.3.3 (Pp. 294-295). |
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3037 */ |
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3038 static PyLongObject * |
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3039 k_mul(PyLongObject *a, PyLongObject *b) |
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3040 { |
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3041 Py_ssize_t asize = ABS(Py_SIZE(a)); |
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3042 Py_ssize_t bsize = ABS(Py_SIZE(b)); |
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3043 PyLongObject *ah = NULL; |
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3044 PyLongObject *al = NULL; |
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3045 PyLongObject *bh = NULL; |
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3046 PyLongObject *bl = NULL; |
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|
3047 PyLongObject *ret = NULL; |
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3048 PyLongObject *t1, *t2, *t3; |
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3049 Py_ssize_t shift; /* the number of digits we split off */ |
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3050 Py_ssize_t i; |
|
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3051 |
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3052 /* (ah*X+al)(bh*X+bl) = ah*bh*X*X + (ah*bl + al*bh)*X + al*bl |
|
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3053 * Let k = (ah+al)*(bh+bl) = ah*bl + al*bh + ah*bh + al*bl |
|
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3054 * Then the original product is |
|
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3055 * ah*bh*X*X + (k - ah*bh - al*bl)*X + al*bl |
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3056 * By picking X to be a power of 2, "*X" is just shifting, and it's |
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3057 * been reduced to 3 multiplies on numbers half the size. |
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3058 */ |
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3059 |
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3060 /* We want to split based on the larger number; fiddle so that b |
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3061 * is largest. |
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3062 */ |
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3063 if (asize > bsize) { |
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3064 t1 = a; |
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3065 a = b; |
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3066 b = t1; |
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3067 |
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3068 i = asize; |
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3069 asize = bsize; |
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3070 bsize = i; |
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3071 } |
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3072 |
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3073 /* Use gradeschool math when either number is too small. */ |
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3074 i = a == b ? KARATSUBA_SQUARE_CUTOFF : KARATSUBA_CUTOFF; |
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3075 if (asize <= i) { |
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3076 if (asize == 0) |
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3077 return (PyLongObject *)PyLong_FromLong(0); |
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3078 else |
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3079 return x_mul(a, b); |
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3080 } |
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3081 |
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3082 /* If a is small compared to b, splitting on b gives a degenerate |
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3083 * case with ah==0, and Karatsuba may be (even much) less efficient |
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3084 * than "grade school" then. However, we can still win, by viewing |
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3085 * b as a string of "big digits", each of width a->ob_size. That |
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3086 * leads to a sequence of balanced calls to k_mul. |
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3087 */ |
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3088 if (2 * asize <= bsize) |
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3089 return k_lopsided_mul(a, b); |
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3090 |
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3091 /* Split a & b into hi & lo pieces. */ |
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3092 shift = bsize >> 1; |
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3093 if (kmul_split(a, shift, &ah, &al) < 0) goto fail; |
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3094 assert(Py_SIZE(ah) > 0); /* the split isn't degenerate */ |
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3095 |
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3096 if (a == b) { |
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3097 bh = ah; |
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3098 bl = al; |
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3099 Py_INCREF(bh); |
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3100 Py_INCREF(bl); |
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3101 } |
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3102 else if (kmul_split(b, shift, &bh, &bl) < 0) goto fail; |
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3103 |
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3104 /* The plan: |
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3105 * 1. Allocate result space (asize + bsize digits: that's always |
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3106 * enough). |
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3107 * 2. Compute ah*bh, and copy into result at 2*shift. |
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3108 * 3. Compute al*bl, and copy into result at 0. Note that this |
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3109 * can't overlap with #2. |
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3110 * 4. Subtract al*bl from the result, starting at shift. This may |
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3111 * underflow (borrow out of the high digit), but we don't care: |
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3112 * we're effectively doing unsigned arithmetic mod |
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3113 * BASE**(sizea + sizeb), and so long as the *final* result fits, |
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3114 * borrows and carries out of the high digit can be ignored. |
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3115 * 5. Subtract ah*bh from the result, starting at shift. |
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3116 * 6. Compute (ah+al)*(bh+bl), and add it into the result starting |
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3117 * at shift. |
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3118 */ |
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3119 |
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3120 /* 1. Allocate result space. */ |
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3121 ret = _PyLong_New(asize + bsize); |
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3122 if (ret == NULL) goto fail; |
|
24745
ba035f4b47c1
Cautious introduction of a patch that started from
Tim Peters <tim.peters@gmail.com>
parents:
24280
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|
3123 #ifdef Py_DEBUG |
|
61467
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3124 /* Fill with trash, to catch reference to uninitialized digits. */ |
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3125 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>
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|
3126 #endif |
|
24751
dbf6e563023b
x_mul(): This failed to normalize its result.
Tim Peters <tim.peters@gmail.com>
parents:
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|
3127 |
|
61467
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3128 /* 2. t1 <- ah*bh, and copy into high digits of result. */ |
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3129 if ((t1 = k_mul(ah, bh)) == NULL) goto fail; |
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3130 assert(Py_SIZE(t1) >= 0); |
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3131 assert(2*shift + Py_SIZE(t1) <= Py_SIZE(ret)); |
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3132 memcpy(ret->ob_digit + 2*shift, t1->ob_digit, |
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3133 Py_SIZE(t1) * sizeof(digit)); |
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3134 |
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3135 /* Zero-out the digits higher than the ah*bh copy. */ |
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3136 i = Py_SIZE(ret) - 2*shift - Py_SIZE(t1); |
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3137 if (i) |
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3138 memset(ret->ob_digit + 2*shift + Py_SIZE(t1), 0, |
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3139 i * sizeof(digit)); |
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3140 |
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3141 /* 3. t2 <- al*bl, and copy into the low digits. */ |
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3142 if ((t2 = k_mul(al, bl)) == NULL) { |
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3143 Py_DECREF(t1); |
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3144 goto fail; |
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3145 } |
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3146 assert(Py_SIZE(t2) >= 0); |
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3147 assert(Py_SIZE(t2) <= 2*shift); /* no overlap with high digits */ |
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3148 memcpy(ret->ob_digit, t2->ob_digit, Py_SIZE(t2) * sizeof(digit)); |
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3149 |
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3150 /* Zero out remaining digits. */ |
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3151 i = 2*shift - Py_SIZE(t2); /* number of uninitialized digits */ |
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|
3152 if (i) |
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|
3153 memset(ret->ob_digit + Py_SIZE(t2), 0, i * sizeof(digit)); |
|
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3154 |
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|
3155 /* 4 & 5. Subtract ah*bh (t1) and al*bl (t2). We do al*bl first |
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|
3156 * because it's fresher in cache. |
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3157 */ |
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3158 i = Py_SIZE(ret) - shift; /* # digits after shift */ |
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3159 (void)v_isub(ret->ob_digit + shift, i, t2->ob_digit, Py_SIZE(t2)); |
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|
3160 Py_DECREF(t2); |
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3161 |
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3162 (void)v_isub(ret->ob_digit + shift, i, t1->ob_digit, Py_SIZE(t1)); |
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|
3163 Py_DECREF(t1); |
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3164 |
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3165 /* 6. t3 <- (ah+al)(bh+bl), and add into result. */ |
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3166 if ((t1 = x_add(ah, al)) == NULL) goto fail; |
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3167 Py_DECREF(ah); |
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3168 Py_DECREF(al); |
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3169 ah = al = NULL; |
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3170 |
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3171 if (a == b) { |
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3172 t2 = t1; |
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3173 Py_INCREF(t2); |
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3174 } |
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3175 else if ((t2 = x_add(bh, bl)) == NULL) { |
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3176 Py_DECREF(t1); |
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3177 goto fail; |
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3178 } |
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3179 Py_DECREF(bh); |
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3180 Py_DECREF(bl); |
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3181 bh = bl = NULL; |
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3182 |
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3183 t3 = k_mul(t1, t2); |
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3184 Py_DECREF(t1); |
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3185 Py_DECREF(t2); |
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3186 if (t3 == NULL) goto fail; |
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3187 assert(Py_SIZE(t3) >= 0); |
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3188 |
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3189 /* Add t3. It's not obvious why we can't run out of room here. |
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3190 * See the (*) comment after this function. |
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3191 */ |
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3192 (void)v_iadd(ret->ob_digit + shift, i, t3->ob_digit, Py_SIZE(t3)); |
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3193 Py_DECREF(t3); |
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3194 |
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3195 return long_normalize(ret); |
|
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3196 |
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3197 fail: |
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61467
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3198 Py_XDECREF(ret); |
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3199 Py_XDECREF(ah); |
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3200 Py_XDECREF(al); |
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3201 Py_XDECREF(bh); |
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3202 Py_XDECREF(bl); |
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3203 return NULL; |
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3204 } |
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3205 |
|
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k_mul(): The fix for (ah+al)*(bh+bl) spilling 1 bit beyond the allocated
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|
3206 /* (*) Why adding t3 can't "run out of room" above. |
|
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3207 |
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|
3208 Let f(x) mean the floor of x and c(x) mean the ceiling of x. Some facts |
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|
3209 to start with: |
|
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3210 |
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|
3211 1. For any integer i, i = c(i/2) + f(i/2). In particular, |
|
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|
3212 bsize = c(bsize/2) + f(bsize/2). |
|
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|
3213 2. shift = f(bsize/2) |
|
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|
3214 3. asize <= bsize |
|
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|
3215 4. Since we call k_lopsided_mul if asize*2 <= bsize, asize*2 > bsize in this |
|
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|
3216 routine, so asize > bsize/2 >= f(bsize/2) in this routine. |
|
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|
3217 |
|
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|
3218 We allocated asize + bsize result digits, and add t3 into them at an offset |
|
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|
3219 of shift. This leaves asize+bsize-shift allocated digit positions for t3 |
|
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parents:
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|
3220 to fit into, = (by #1 and #2) asize + f(bsize/2) + c(bsize/2) - f(bsize/2) = |
|
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parents:
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|
3221 asize + c(bsize/2) available digit positions. |
|
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parents:
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|
3222 |
|
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parents:
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|
3223 bh has c(bsize/2) digits, and bl at most f(size/2) digits. So bh+hl has |
|
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|
3224 at most c(bsize/2) digits + 1 bit. |
|
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parents:
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|
3225 |
|
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parents:
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|
3226 If asize == bsize, ah has c(bsize/2) digits, else ah has at most f(bsize/2) |
|
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parents:
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|
3227 digits, and al has at most f(bsize/2) digits in any case. So ah+al has at |
|
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parents:
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|
3228 most (asize == bsize ? c(bsize/2) : f(bsize/2)) digits + 1 bit. |
|
24791
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parents:
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|
3229 |
|
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parents:
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|
3230 The product (ah+al)*(bh+bl) therefore has at most |
|
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parents:
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|
3231 |
|
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|
3232 c(bsize/2) + (asize == bsize ? c(bsize/2) : f(bsize/2)) digits + 2 bits |
|
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parents:
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|
3233 |
|
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parents:
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|
3234 and we have asize + c(bsize/2) available digit positions. We need to show |
|
10a4ec45549d
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24845
diff
changeset
|
3235 this is always enough. An instance of c(bsize/2) cancels out in both, so |
|
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parents:
24845
diff
changeset
|
3236 the question reduces to whether asize digits is enough to hold |
|
10a4ec45549d
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parents:
24845
diff
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|
3237 (asize == bsize ? c(bsize/2) : f(bsize/2)) digits + 2 bits. If asize < bsize, |
|
10a4ec45549d
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parents:
24845
diff
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|
3238 then we're asking whether asize digits >= f(bsize/2) digits + 2 bits. By #4, |
|
10a4ec45549d
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parents:
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|
3239 asize is at least f(bsize/2)+1 digits, so this in turn reduces to whether 1 |
|
42334
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3240 digit is enough to hold 2 bits. This is so since PyLong_SHIFT=15 >= 2. If |
|
24846
10a4ec45549d
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parents:
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diff
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|
3241 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>.
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|
3242 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>.
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parents:
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|
3243 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>.
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parents:
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|
3244 bsize >= KARATSUBA_CUTOFF >= 2. |
|
24821
ae9c9f90b4b0
k_mul() comments: Explained why there's always enough room to subtract
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parents:
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|
3245 |
|
24824
7c91d303c563
k_mul() comments: Simplified the simplified explanation of why ah*bh and
Tim Peters <tim.peters@gmail.com>
parents:
24821
diff
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|
3246 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
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parents:
24821
diff
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|
3247 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>
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24821
diff
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|
3248 ah*bh and al*bl too. |
|
24791
dbf4cc560898
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Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
3249 */ |
|
dbf4cc560898
k_mul(): The fix for (ah+al)*(bh+bl) spilling 1 bit beyond the allocated
Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
3250 |
|
24773
801a44ab2aae
Added new function k_lopsided_mul(), which is much more efficient than
Tim Peters <tim.peters@gmail.com>
parents:
24765
diff
changeset
|
3251 /* 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
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|
3252 * 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
|
3253 * 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:
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diff
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|
3254 * 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:
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diff
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|
3255 * 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
|
3256 * 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:
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diff
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|
3257 * single-width slice overlap between successive partial sums). |
|
801a44ab2aae
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Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
3258 */ |
|
801a44ab2aae
Added new function k_lopsided_mul(), which is much more efficient than
Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
3259 static PyLongObject * |
|
801a44ab2aae
Added new function k_lopsided_mul(), which is much more efficient than
Tim Peters <tim.peters@gmail.com>
parents:
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diff
changeset
|
3260 k_lopsided_mul(PyLongObject *a, PyLongObject *b) |
|
801a44ab2aae
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parents:
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|
3261 { |
|
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|
3262 const Py_ssize_t asize = ABS(Py_SIZE(a)); |
|
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|
3263 Py_ssize_t bsize = ABS(Py_SIZE(b)); |
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|
3264 Py_ssize_t nbdone; /* # of b digits already multiplied */ |
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|
3265 PyLongObject *ret; |
|
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|
3266 PyLongObject *bslice = NULL; |
|
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|
3267 |
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|
3268 assert(asize > KARATSUBA_CUTOFF); |
|
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|
3269 assert(2 * asize <= bsize); |
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|
3270 |
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3271 /* Allocate result space, and zero it out. */ |
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3272 ret = _PyLong_New(asize + bsize); |
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3273 if (ret == NULL) |
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3274 return NULL; |
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3275 memset(ret->ob_digit, 0, Py_SIZE(ret) * sizeof(digit)); |
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|
3276 |
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3277 /* Successive slices of b are copied into bslice. */ |
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3278 bslice = _PyLong_New(asize); |
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3279 if (bslice == NULL) |
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|
3280 goto fail; |
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|
3281 |
|
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|
3282 nbdone = 0; |
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|
3283 while (bsize > 0) { |
|
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|
3284 PyLongObject *product; |
|
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3285 const Py_ssize_t nbtouse = MIN(bsize, asize); |
|
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|
3286 |
|
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|
3287 /* Multiply the next slice of b by a. */ |
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|
3288 memcpy(bslice->ob_digit, b->ob_digit + nbdone, |
|
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|
3289 nbtouse * sizeof(digit)); |
|
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|
3290 Py_SIZE(bslice) = nbtouse; |
|
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|
3291 product = k_mul(a, bslice); |
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|
3292 if (product == NULL) |
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|
3293 goto fail; |
|
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|
3294 |
|
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|
3295 /* Add into result. */ |
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3296 (void)v_iadd(ret->ob_digit + nbdone, Py_SIZE(ret) - nbdone, |
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|
3297 product->ob_digit, Py_SIZE(product)); |
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|
3298 Py_DECREF(product); |
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|
3299 |
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|
3300 bsize -= nbtouse; |
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|
3301 nbdone += nbtouse; |
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3302 } |
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|
3303 |
|
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|
3304 Py_DECREF(bslice); |
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|
3305 return long_normalize(ret); |
|
24773
801a44ab2aae
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Tim Peters <tim.peters@gmail.com>
parents:
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|
3306 |
|
61491
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|
3307 fail: |
|
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|
3308 Py_DECREF(ret); |
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|
3309 Py_XDECREF(bslice); |
|
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|
3310 return NULL; |
|
24773
801a44ab2aae
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Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
3311 } |
|
24745
ba035f4b47c1
Cautious introduction of a patch that started from
Tim Peters <tim.peters@gmail.com>
parents:
24280
diff
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|
3312 |
|
ba035f4b47c1
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Tim Peters <tim.peters@gmail.com>
parents:
24280
diff
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|
3313 static PyObject * |
| 43313 | 3314 long_mul(PyLongObject *a, PyLongObject *b) |
|
24745
ba035f4b47c1
Cautious introduction of a patch that started from
Tim Peters <tim.peters@gmail.com>
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24280
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|
3315 { |
|
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|
3316 PyLongObject *z; |
|
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|
3317 |
|
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|
3318 CHECK_BINOP(a, b); |
|
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|
3319 |
|
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|
3320 /* fast path for single-digit multiplication */ |
|
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|
3321 if (ABS(Py_SIZE(a)) <= 1 && ABS(Py_SIZE(b)) <= 1) { |
|
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|
3322 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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|
3323 #ifdef HAVE_LONG_LONG |
|
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|
3324 return PyLong_FromLongLong((PY_LONG_LONG)v); |
|
52215
bb5de24a343f
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Mark Dickinson <dickinsm@gmail.com>
parents:
51855
diff
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|
3325 #else |
|
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|
3326 /* if we don't have long long then we're almost certainly |
|
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|
3327 using 15-bit digits, so v will fit in a long. In the |
|
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|
3328 unlikely event that we're using 30-bit digits on a platform |
|
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|
3329 without long long, a large v will just cause us to fall |
|
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|
3330 through to the general multiplication code below. */ |
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|
3331 if (v >= LONG_MIN && v <= LONG_MAX) |
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|
3332 return PyLong_FromLong((long)v); |
|
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Mark Dickinson <dickinsm@gmail.com>
parents:
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|
3333 #endif |
|
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3334 } |
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|
3335 |
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|
3336 z = k_mul(a, b); |
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|
3337 /* Negate if exactly one of the inputs is negative. */ |
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3338 if (((Py_SIZE(a) ^ Py_SIZE(b)) < 0) && z) |
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|
3339 NEGATE(z); |
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|
3340 return (PyObject *)z; |
| 230 | 3341 } |
| 3342 | |
| 613 | 3343 /* The / and % operators are now defined in terms of divmod(). |
| 3344 The expression a mod b has the value a - b*floor(a/b). | |
| 3345 The long_divrem function gives the remainder after division of | |
| 230 | 3346 |a| by |b|, with the sign of a. This is also expressed |
| 3347 as a - b*trunc(a/b), if trunc truncates towards zero. | |
| 3348 Some examples: | |
|
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|
3349 a b a rem b a mod b |
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|
3350 13 10 3 3 |
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3351 -13 10 -3 7 |
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3352 13 -10 3 -7 |
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3353 -13 -10 -3 -3 |
| 230 | 3354 So, to get from rem to mod, we have to add b if a and b |
| 242 | 3355 have different signs. We then subtract one from the 'div' |
| 3356 part of the outcome to keep the invariant intact. */ | |
| 230 | 3357 |
|
33327
5452d4ecddd0
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|
3358 /* Compute |
|
5452d4ecddd0
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|
3359 * *pdiv, *pmod = divmod(v, w) |
|
5452d4ecddd0
SF patch 936813: fast modular exponentiation
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|
3360 * NULL can be passed for pdiv or pmod, in which case that part of |
|
5452d4ecddd0
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|
3361 * the result is simply thrown away. The caller owns a reference to |
|
5452d4ecddd0
SF patch 936813: fast modular exponentiation
Tim Peters <tim.peters@gmail.com>
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|
3362 * each of these it requests (does not pass NULL for). |
|
5452d4ecddd0
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|
3363 */ |
| 613 | 3364 static int |
|
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3365 l_divmod(PyLongObject *v, PyLongObject *w, |
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3366 PyLongObject **pdiv, PyLongObject **pmod) |
| 613 | 3367 { |
|
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3368 PyLongObject *div, *mod; |
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3369 |
|
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3370 if (long_divrem(v, w, &div, &mod) < 0) |
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3371 return -1; |
|
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3372 if ((Py_SIZE(mod) < 0 && Py_SIZE(w) > 0) || |
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3373 (Py_SIZE(mod) > 0 && Py_SIZE(w) < 0)) { |
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3374 PyLongObject *temp; |
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3375 PyLongObject *one; |
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3376 temp = (PyLongObject *) long_add(mod, w); |
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3377 Py_DECREF(mod); |
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3378 mod = temp; |
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3379 if (mod == NULL) { |
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3380 Py_DECREF(div); |
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3381 return -1; |
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3382 } |
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3383 one = (PyLongObject *) PyLong_FromLong(1L); |
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3384 if (one == NULL || |
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3385 (temp = (PyLongObject *) long_sub(div, one)) == NULL) { |
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3386 Py_DECREF(mod); |
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3387 Py_DECREF(div); |
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3388 Py_XDECREF(one); |
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3389 return -1; |
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3390 } |
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3391 Py_DECREF(one); |
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3392 Py_DECREF(div); |
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3393 div = temp; |
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3394 } |
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3395 if (pdiv != NULL) |
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3396 *pdiv = div; |
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3397 else |
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3398 Py_DECREF(div); |
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3399 |
|
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3400 if (pmod != NULL) |
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3401 *pmod = mod; |
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3402 else |
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3403 Py_DECREF(mod); |
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3404 |
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3405 return 0; |
| 613 | 3406 } |
| 3407 | |
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5396
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3408 static PyObject * |
| 43313 | 3409 long_div(PyObject *a, PyObject *b) |
| 613 | 3410 { |
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61467
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3411 PyLongObject *div; |
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3412 |
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3413 CHECK_BINOP(a, b); |
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3414 if (l_divmod((PyLongObject*)a, (PyLongObject*)b, &div, NULL) < 0) |
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3415 div = NULL; |
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3416 return (PyObject *)div; |
| 613 | 3417 } |
| 3418 | |
|
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3419 /* PyLong/PyLong -> float, with correctly rounded result. */ |
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3420 |
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3421 #define MANT_DIG_DIGITS (DBL_MANT_DIG / PyLong_SHIFT) |
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3422 #define MANT_DIG_BITS (DBL_MANT_DIG % PyLong_SHIFT) |
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3423 |
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3424 static PyObject * |
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3425 long_true_divide(PyObject *v, PyObject *w) |
|
19675
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3426 { |
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61466
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3427 PyLongObject *a, *b, *x; |
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3428 Py_ssize_t a_size, b_size, shift, extra_bits, diff, x_size, x_bits; |
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3429 digit mask, low; |
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3430 int inexact, negate, a_is_small, b_is_small; |
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3431 double dx, result; |
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3432 |
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3433 CHECK_BINOP(v, w); |
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3434 a = (PyLongObject *)v; |
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3435 b = (PyLongObject *)w; |
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3436 |
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3437 /* |
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3438 Method in a nutshell: |
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3439 |
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3440 0. reduce to case a, b > 0; filter out obvious underflow/overflow |
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3441 1. choose a suitable integer 'shift' |
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3442 2. use integer arithmetic to compute x = floor(2**-shift*a/b) |
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3443 3. adjust x for correct rounding |
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3444 4. convert x to a double dx with the same value |
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3445 5. return ldexp(dx, shift). |
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3446 |
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3447 In more detail: |
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3448 |
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3449 0. For any a, a/0 raises ZeroDivisionError; for nonzero b, 0/b |
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3450 returns either 0.0 or -0.0, depending on the sign of b. For a and |
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3451 b both nonzero, ignore signs of a and b, and add the sign back in |
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3452 at the end. Now write a_bits and b_bits for the bit lengths of a |
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3453 and b respectively (that is, a_bits = 1 + floor(log_2(a)); likewise |
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3454 for b). Then |
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3455 |
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3456 2**(a_bits - b_bits - 1) < a/b < 2**(a_bits - b_bits + 1). |
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3457 |
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3458 So if a_bits - b_bits > DBL_MAX_EXP then a/b > 2**DBL_MAX_EXP and |
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3459 so overflows. Similarly, if a_bits - b_bits < DBL_MIN_EXP - |
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3460 DBL_MANT_DIG - 1 then a/b underflows to 0. With these cases out of |
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3461 the way, we can assume that |
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3462 |
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3463 DBL_MIN_EXP - DBL_MANT_DIG - 1 <= a_bits - b_bits <= DBL_MAX_EXP. |
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3464 |
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3465 1. The integer 'shift' is chosen so that x has the right number of |
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3466 bits for a double, plus two or three extra bits that will be used |
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3467 in the rounding decisions. Writing a_bits and b_bits for the |
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3468 number of significant bits in a and b respectively, a |
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3469 straightforward formula for shift is: |
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3470 |
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3471 shift = a_bits - b_bits - DBL_MANT_DIG - 2 |
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3472 |
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3473 This is fine in the usual case, but if a/b is smaller than the |
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3474 smallest normal float then it can lead to double rounding on an |
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3475 IEEE 754 platform, giving incorrectly rounded results. So we |
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3476 adjust the formula slightly. The actual formula used is: |
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3477 |
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3478 shift = MAX(a_bits - b_bits, DBL_MIN_EXP) - DBL_MANT_DIG - 2 |
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3479 |
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3480 2. The quantity x is computed by first shifting a (left -shift bits |
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3481 if shift <= 0, right shift bits if shift > 0) and then dividing by |
|
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|
3482 b. For both the shift and the division, we keep track of whether |
|
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|
3483 the result is inexact, in a flag 'inexact'; this information is |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3484 needed at the rounding stage. |
|
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|
3485 |
|
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|
3486 With the choice of shift above, together with our assumption that |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3487 a_bits - b_bits >= DBL_MIN_EXP - DBL_MANT_DIG - 1, it follows |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3488 that x >= 1. |
|
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|
3489 |
|
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|
3490 3. Now x * 2**shift <= a/b < (x+1) * 2**shift. We want to replace |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3491 this with an exactly representable float of the form |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3492 |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3493 round(x/2**extra_bits) * 2**(extra_bits+shift). |
|
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|
3494 |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3495 For float representability, we need x/2**extra_bits < |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3496 2**DBL_MANT_DIG and extra_bits + shift >= DBL_MIN_EXP - |
|
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|
3497 DBL_MANT_DIG. This translates to the condition: |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3498 |
|
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|
3499 extra_bits >= MAX(x_bits, DBL_MIN_EXP - shift) - DBL_MANT_DIG |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3500 |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3501 To round, we just modify the bottom digit of x in-place; this can |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3502 end up giving a digit with value > PyLONG_MASK, but that's not a |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3503 problem since digits can hold values up to 2*PyLONG_MASK+1. |
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|
3504 |
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|
3505 With the original choices for shift above, extra_bits will always |
|
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|
3506 be 2 or 3. Then rounding under the round-half-to-even rule, we |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3507 round up iff the most significant of the extra bits is 1, and |
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Recorded merge of revisions 81029 via svnmerge from
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|
3508 either: (a) the computation of x in step 2 had an inexact result, |
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|
3509 or (b) at least one other of the extra bits is 1, or (c) the least |
|
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|
3510 significant bit of x (above those to be rounded) is 1. |
|
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|
3511 |
|
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|
3512 4. Conversion to a double is straightforward; all floating-point |
|
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|
3513 operations involved in the conversion are exact, so there's no |
|
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|
3514 danger of rounding errors. |
|
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|
3515 |
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Recorded merge of revisions 81029 via svnmerge from
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|
3516 5. Use ldexp(x, shift) to compute x*2**shift, the final result. |
|
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|
3517 The result will always be exactly representable as a double, except |
|
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|
3518 in the case that it overflows. To avoid dependence on the exact |
|
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changeset
|
3519 behaviour of ldexp on overflow, we check for overflow before |
|
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|
3520 applying ldexp. The result of ldexp is adjusted for sign before |
|
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|
3521 returning. |
|
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|
3522 */ |
|
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|
3523 |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3524 /* Reduce to case where a and b are both positive. */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3525 a_size = ABS(Py_SIZE(a)); |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3526 b_size = ABS(Py_SIZE(b)); |
|
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|
3527 negate = (Py_SIZE(a) < 0) ^ (Py_SIZE(b) < 0); |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3528 if (b_size == 0) { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
3529 PyErr_SetString(PyExc_ZeroDivisionError, |
|
61466
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|
3530 "division by zero"); |
|
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|
3531 goto error; |
|
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|
3532 } |
|
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|
3533 if (a_size == 0) |
|
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|
3534 goto underflow_or_zero; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3535 |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3536 /* Fast path for a and b small (exactly representable in a double). |
|
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|
3537 Relies on floating-point division being correctly rounded; results |
|
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|
3538 may be subject to double rounding on x86 machines that operate with |
|
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|
3539 the x87 FPU set to 64-bit precision. */ |
|
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|
3540 a_is_small = a_size <= MANT_DIG_DIGITS || |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3541 (a_size == MANT_DIG_DIGITS+1 && |
|
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|
3542 a->ob_digit[MANT_DIG_DIGITS] >> MANT_DIG_BITS == 0); |
|
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|
3543 b_is_small = b_size <= MANT_DIG_DIGITS || |
|
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|
3544 (b_size == MANT_DIG_DIGITS+1 && |
|
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|
3545 b->ob_digit[MANT_DIG_DIGITS] >> MANT_DIG_BITS == 0); |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3546 if (a_is_small && b_is_small) { |
|
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changeset
|
3547 double da, db; |
|
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|
3548 da = a->ob_digit[--a_size]; |
|
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|
3549 while (a_size > 0) |
|
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|
3550 da = da * PyLong_BASE + a->ob_digit[--a_size]; |
|
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|
3551 db = b->ob_digit[--b_size]; |
|
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|
3552 while (b_size > 0) |
|
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|
3553 db = db * PyLong_BASE + b->ob_digit[--b_size]; |
|
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|
3554 result = da / db; |
|
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|
3555 goto success; |
|
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|
3556 } |
|
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|
3557 |
|
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|
3558 /* Catch obvious cases of underflow and overflow */ |
|
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|
3559 diff = a_size - b_size; |
|
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|
3560 if (diff > PY_SSIZE_T_MAX/PyLong_SHIFT - 1) |
|
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|
3561 /* Extreme overflow */ |
|
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|
3562 goto overflow; |
|
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|
3563 else if (diff < 1 - PY_SSIZE_T_MAX/PyLong_SHIFT) |
|
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|
3564 /* Extreme underflow */ |
|
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|
3565 goto underflow_or_zero; |
|
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|
3566 /* Next line is now safe from overflowing a Py_ssize_t */ |
|
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3567 diff = diff * PyLong_SHIFT + bits_in_digit(a->ob_digit[a_size - 1]) - |
|
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|
3568 bits_in_digit(b->ob_digit[b_size - 1]); |
|
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|
3569 /* Now diff = a_bits - b_bits. */ |
|
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|
3570 if (diff > DBL_MAX_EXP) |
|
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|
3571 goto overflow; |
|
61466
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|
3572 else if (diff < DBL_MIN_EXP - DBL_MANT_DIG - 1) |
|
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|
3573 goto underflow_or_zero; |
|
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3574 |
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|
3575 /* Choose value for shift; see comments for step 1 above. */ |
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|
3576 shift = MAX(diff, DBL_MIN_EXP) - DBL_MANT_DIG - 2; |
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3577 |
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|
3578 inexact = 0; |
|
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3579 |
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|
3580 /* x = abs(a * 2**-shift) */ |
|
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|
3581 if (shift <= 0) { |
|
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|
3582 Py_ssize_t i, shift_digits = -shift / PyLong_SHIFT; |
|
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|
3583 digit rem; |
|
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|
3584 /* x = a << -shift */ |
|
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changeset
|
3585 if (a_size >= PY_SSIZE_T_MAX - 1 - shift_digits) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3586 /* In practice, it's probably impossible to end up |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3587 here. Both a and b would have to be enormous, |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3588 using close to SIZE_T_MAX bytes of memory each. */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3589 PyErr_SetString(PyExc_OverflowError, |
|
61491
829a86e11bd7
Merged revisions 81036 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61466
diff
changeset
|
3590 "intermediate overflow during division"); |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3591 goto error; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
3592 } |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3593 x = _PyLong_New(a_size + shift_digits + 1); |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3594 if (x == NULL) |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3595 goto error; |
|
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Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
3596 for (i = 0; i < shift_digits; i++) |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3597 x->ob_digit[i] = 0; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3598 rem = v_lshift(x->ob_digit + shift_digits, a->ob_digit, |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3599 a_size, -shift % PyLong_SHIFT); |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3600 x->ob_digit[a_size + shift_digits] = rem; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3601 } |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3602 else { |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3603 Py_ssize_t shift_digits = shift / PyLong_SHIFT; |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3604 digit rem; |
|
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changeset
|
3605 /* x = a >> shift */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3606 assert(a_size >= shift_digits); |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3607 x = _PyLong_New(a_size - shift_digits); |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3608 if (x == NULL) |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
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|
3609 goto error; |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3610 rem = v_rshift(x->ob_digit, a->ob_digit + shift_digits, |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3611 a_size - shift_digits, shift % PyLong_SHIFT); |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3612 /* set inexact if any of the bits shifted out is nonzero */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3613 if (rem) |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3614 inexact = 1; |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3615 while (!inexact && shift_digits > 0) |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3616 if (a->ob_digit[--shift_digits]) |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3617 inexact = 1; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3618 } |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3619 long_normalize(x); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3620 x_size = Py_SIZE(x); |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3621 |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3622 /* x //= b. If the remainder is nonzero, set inexact. We own the only |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3623 reference to x, so it's safe to modify it in-place. */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3624 if (b_size == 1) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3625 digit rem = inplace_divrem1(x->ob_digit, x->ob_digit, x_size, |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3626 b->ob_digit[0]); |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3627 long_normalize(x); |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3628 if (rem) |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3629 inexact = 1; |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3630 } |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3631 else { |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3632 PyLongObject *div, *rem; |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3633 div = x_divrem(x, b, &rem); |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3634 Py_DECREF(x); |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3635 x = div; |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3636 if (x == NULL) |
|
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|
3637 goto error; |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3638 if (Py_SIZE(rem)) |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3639 inexact = 1; |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3640 Py_DECREF(rem); |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3641 } |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3642 x_size = ABS(Py_SIZE(x)); |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3643 assert(x_size > 0); /* result of division is never zero */ |
|
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|
3644 x_bits = (x_size-1)*PyLong_SHIFT+bits_in_digit(x->ob_digit[x_size-1]); |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3645 |
|
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changeset
|
3646 /* The number of extra bits that have to be rounded away. */ |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3647 extra_bits = MAX(x_bits, DBL_MIN_EXP - shift) - DBL_MANT_DIG; |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3648 assert(extra_bits == 2 || extra_bits == 3); |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3649 |
|
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changeset
|
3650 /* Round by directly modifying the low digit of x. */ |
|
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changeset
|
3651 mask = (digit)1 << (extra_bits - 1); |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
3652 low = x->ob_digit[0] | inexact; |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3653 if (low & mask && low & (3*mask-1)) |
|
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diff
changeset
|
3654 low += mask; |
|
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Recorded merge of revisions 81029 via svnmerge from
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changeset
|
3655 x->ob_digit[0] = low & ~(mask-1U); |
|
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Recorded merge of revisions 81029 via svnmerge from
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|
3656 |
|
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diff
changeset
|
3657 /* Convert x to a double dx; the conversion is exact. */ |
|
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changeset
|
3658 dx = x->ob_digit[--x_size]; |
|
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changeset
|
3659 while (x_size > 0) |
|
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changeset
|
3660 dx = dx * PyLong_BASE + x->ob_digit[--x_size]; |
|
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|
3661 Py_DECREF(x); |
|
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|
3662 |
|
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changeset
|
3663 /* Check whether ldexp result will overflow a double. */ |
|
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|
3664 if (shift + x_bits >= DBL_MAX_EXP && |
|
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changeset
|
3665 (shift + x_bits > DBL_MAX_EXP || dx == ldexp(1.0, (int)x_bits))) |
|
61467
f197407bdba2
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changeset
|
3666 goto overflow; |
|
61466
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diff
changeset
|
3667 result = ldexp(dx, (int)shift); |
|
57942
aaa5ab7b942a
Merged revisions 77062 via svnmerge from
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diff
changeset
|
3668 |
|
aaa5ab7b942a
Merged revisions 77062 via svnmerge from
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parents:
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diff
changeset
|
3669 success: |
|
61466
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changeset
|
3670 return PyFloat_FromDouble(negate ? -result : result); |
|
57942
aaa5ab7b942a
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|
3671 |
|
aaa5ab7b942a
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diff
changeset
|
3672 underflow_or_zero: |
|
61466
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|
3673 return PyFloat_FromDouble(negate ? -0.0 : 0.0); |
|
57942
aaa5ab7b942a
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|
3674 |
|
aaa5ab7b942a
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diff
changeset
|
3675 overflow: |
|
61467
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changeset
|
3676 PyErr_SetString(PyExc_OverflowError, |
|
61466
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|
3677 "integer division result too large for a float"); |
|
57942
aaa5ab7b942a
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|
3678 error: |
|
61467
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changeset
|
3679 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
|
3680 } |
|
685dcae5c123
Move long_true_divide next to the other division routines (for clarity!).
Tim Peters <tim.peters@gmail.com>
parents:
19674
diff
changeset
|
3681 |
|
685dcae5c123
Move long_true_divide next to the other division routines (for clarity!).
Tim Peters <tim.peters@gmail.com>
parents:
19674
diff
changeset
|
3682 static PyObject * |
| 43313 | 3683 long_mod(PyObject *a, PyObject *b) |
| 613 | 3684 { |
|
61467
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changeset
|
3685 PyLongObject *mod; |
|
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|
3686 |
|
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changeset
|
3687 CHECK_BINOP(a, b); |
|
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|
3688 |
|
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|
3689 if (l_divmod((PyLongObject*)a, (PyLongObject*)b, NULL, &mod) < 0) |
|
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|
3690 mod = NULL; |
|
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|
3691 return (PyObject *)mod; |
| 613 | 3692 } |
| 3693 | |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
3694 static PyObject * |
| 43313 | 3695 long_divmod(PyObject *a, PyObject *b) |
| 230 | 3696 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3697 PyLongObject *div, *mod; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3698 PyObject *z; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3699 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3700 CHECK_BINOP(a, b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3701 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3702 if (l_divmod((PyLongObject*)a, (PyLongObject*)b, &div, &mod) < 0) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3703 return NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3704 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3705 z = PyTuple_New(2); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3706 if (z != NULL) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3707 PyTuple_SetItem(z, 0, (PyObject *) div); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3708 PyTuple_SetItem(z, 1, (PyObject *) mod); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3709 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3710 else { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3711 Py_DECREF(div); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3712 Py_DECREF(mod); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3713 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3714 return z; |
| 230 | 3715 } |
| 3716 | |
|
33327
5452d4ecddd0
SF patch 936813: fast modular exponentiation
Tim Peters <tim.peters@gmail.com>
parents:
33325
diff
changeset
|
3717 /* pow(v, w, x) */ |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
3718 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
|
3719 long_pow(PyObject *v, PyObject *w, PyObject *x) |
| 230 | 3720 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3721 PyLongObject *a, *b, *c; /* a,b,c = v,w,x */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3722 int negativeOutput = 0; /* if x<0 return negative output */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3723 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3724 PyLongObject *z = NULL; /* accumulated result */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3725 Py_ssize_t i, j, k; /* counters */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3726 PyLongObject *temp = NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3727 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3728 /* 5-ary values. If the exponent is large enough, table is |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3729 * precomputed so that table[i] == a**i % c for i in range(32). |
|
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 PyLongObject *table[32] = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3732 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3733 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3734 /* a, b, c = v, w, x */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3735 CHECK_BINOP(v, w); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3736 a = (PyLongObject*)v; Py_INCREF(a); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3737 b = (PyLongObject*)w; Py_INCREF(b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3738 if (PyLong_Check(x)) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3739 c = (PyLongObject *)x; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3740 Py_INCREF(x); |
|
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 else if (x == Py_None) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3743 c = NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3744 else { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3745 Py_DECREF(a); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3746 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
|
3747 Py_RETURN_NOTIMPLEMENTED; |
|
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 if (Py_SIZE(b) < 0) { /* if exponent is negative */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3751 if (c) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3752 PyErr_SetString(PyExc_TypeError, "pow() 2nd argument " |
|
61491
829a86e11bd7
Merged revisions 81036 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61466
diff
changeset
|
3753 "cannot be negative when 3rd argument specified"); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3754 goto Error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3755 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3756 else { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3757 /* else return a float. This works because we know |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3758 that this calls float_pow() which converts its |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3759 arguments to double. */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3760 Py_DECREF(a); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3761 Py_DECREF(b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3762 return PyFloat_Type.tp_as_number->nb_power(v, w, x); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3763 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3764 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3765 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3766 if (c) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3767 /* if modulus == 0: |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3768 raise ValueError() */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3769 if (Py_SIZE(c) == 0) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3770 PyErr_SetString(PyExc_ValueError, |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3771 "pow() 3rd argument cannot be 0"); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3772 goto Error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3773 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3774 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3775 /* if modulus < 0: |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3776 negativeOutput = True |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3777 modulus = -modulus */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3778 if (Py_SIZE(c) < 0) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3779 negativeOutput = 1; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3780 temp = (PyLongObject *)_PyLong_Copy(c); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3781 if (temp == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3782 goto Error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3783 Py_DECREF(c); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3784 c = temp; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3785 temp = NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3786 NEGATE(c); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3787 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3788 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3789 /* if modulus == 1: |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3790 return 0 */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3791 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
|
3792 z = (PyLongObject *)PyLong_FromLong(0L); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3793 goto Done; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3794 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3795 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3796 /* if base < 0: |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3797 base = base % modulus |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3798 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
|
3799 if (Py_SIZE(a) < 0) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3800 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
|
3801 goto Error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3802 Py_DECREF(a); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3803 a = temp; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3804 temp = NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3805 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3806 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3807 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3808 /* 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
|
3809 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
|
3810 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3811 z = (PyLongObject *)PyLong_FromLong(1L); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3812 if (z == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3813 goto Error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3814 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3815 /* 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:
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diff
changeset
|
3816 * is NULL. |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3817 */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3818 #define REDUCE(X) \ |
|
61492
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3819 do { \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3820 if (c != NULL) { \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3821 if (l_divmod(X, c, NULL, &temp) < 0) \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3822 goto Error; \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3823 Py_XDECREF(X); \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3824 X = temp; \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3825 temp = NULL; \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
3826 } \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
3827 } while(0) |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
3828 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3829 /* Multiply two values, then reduce the result: |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3830 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
|
3831 #define MULT(X, Y, result) \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
3832 do { \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
3833 temp = (PyLongObject *)long_mul(X, Y); \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
3834 if (temp == NULL) \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
3835 goto Error; \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3836 Py_XDECREF(result); \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
3837 result = temp; \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
3838 temp = NULL; \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
3839 REDUCE(result); \ |
|
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
3840 } while(0) |
|
33327
5452d4ecddd0
SF patch 936813: fast modular exponentiation
Tim Peters <tim.peters@gmail.com>
parents:
33325
diff
changeset
|
3841 |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3842 if (Py_SIZE(b) <= FIVEARY_CUTOFF) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3843 /* Left-to-right binary exponentiation (HAC Algorithm 14.79) */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3844 /* http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
3845 for (i = Py_SIZE(b) - 1; i >= 0; --i) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3846 digit bi = b->ob_digit[i]; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3847 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3848 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:
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diff
changeset
|
3849 MULT(z, z, z); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
3850 if (bi & j) |
|
61492
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61491
diff
changeset
|
3851 MULT(z, a, z); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3852 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3853 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3854 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3855 else { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3856 /* Left-to-right 5-ary exponentiation (HAC Algorithm 14.82) */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3857 Py_INCREF(z); /* still holds 1L */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3858 table[0] = z; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3859 for (i = 1; i < 32; ++i) |
|
61492
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
3860 MULT(table[i-1], a, table[i]); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3861 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3862 for (i = Py_SIZE(b) - 1; i >= 0; --i) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3863 const digit bi = b->ob_digit[i]; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3864 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3865 for (j = PyLong_SHIFT - 5; j >= 0; j -= 5) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
3866 const int index = (bi >> j) & 0x1f; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3867 for (k = 0; k < 5; ++k) |
|
61492
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
3868 MULT(z, z, z); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
3869 if (index) |
|
61492
f1358aa33a6e
Merged revisions 81037 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
3870 MULT(z, table[index], z); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3871 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3872 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3873 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3874 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3875 if (negativeOutput && (Py_SIZE(z) != 0)) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
3876 temp = (PyLongObject *)long_sub(z, c); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3877 if (temp == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3878 goto Error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
3879 Py_DECREF(z); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3880 z = temp; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3881 temp = NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
3882 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
3883 goto Done; |
|
33327
5452d4ecddd0
SF patch 936813: fast modular exponentiation
Tim Peters <tim.peters@gmail.com>
parents:
33325
diff
changeset
|
3884 |
|
61491
829a86e11bd7
Merged revisions 81036 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61466
diff
changeset
|
3885 Error: |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
3886 if (z != NULL) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
3887 Py_DECREF(z); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
3888 z = NULL; |
|
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|
3889 } |
|
f197407bdba2
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diff
changeset
|
3890 /* fall through */ |
|
61491
829a86e11bd7
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diff
changeset
|
3891 Done: |
|
61467
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changeset
|
3892 if (Py_SIZE(b) > FIVEARY_CUTOFF) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
3893 for (i = 0; i < 32; ++i) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
3894 Py_XDECREF(table[i]); |
|
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|
3895 } |
|
f197407bdba2
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changeset
|
3896 Py_DECREF(a); |
|
f197407bdba2
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changeset
|
3897 Py_DECREF(b); |
|
f197407bdba2
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changeset
|
3898 Py_XDECREF(c); |
|
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changeset
|
3899 Py_XDECREF(temp); |
|
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changeset
|
3900 return (PyObject *)z; |
| 230 | 3901 } |
| 3902 | |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
3903 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
|
3904 long_invert(PyLongObject *v) |
| 230 | 3905 { |
|
61467
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changeset
|
3906 /* Implement ~x as -(x+1) */ |
|
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changeset
|
3907 PyLongObject *x; |
|
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changeset
|
3908 PyLongObject *w; |
|
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changeset
|
3909 if (ABS(Py_SIZE(v)) <=1) |
|
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|
3910 return PyLong_FromLong(-(MEDIUM_VALUE(v)+1)); |
|
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changeset
|
3911 w = (PyLongObject *)PyLong_FromLong(1L); |
|
f197407bdba2
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changeset
|
3912 if (w == NULL) |
|
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|
3913 return NULL; |
|
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changeset
|
3914 x = (PyLongObject *) long_add(v, w); |
|
f197407bdba2
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changeset
|
3915 Py_DECREF(w); |
|
f197407bdba2
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changeset
|
3916 if (x == NULL) |
|
f197407bdba2
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changeset
|
3917 return NULL; |
|
f197407bdba2
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diff
changeset
|
3918 Py_SIZE(x) = -(Py_SIZE(x)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3919 return (PyObject *)maybe_small_long(x); |
| 230 | 3920 } |
| 3921 | |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
3922 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
|
3923 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
|
3924 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3925 PyLongObject *z; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3926 if (ABS(Py_SIZE(v)) <= 1) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3927 return PyLong_FromLong(-MEDIUM_VALUE(v)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3928 z = (PyLongObject *)_PyLong_Copy(v); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3929 if (z != NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3930 Py_SIZE(z) = -(Py_SIZE(v)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3931 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
|
3932 } |
|
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
3933 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
3934 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
|
3935 long_abs(PyLongObject *v) |
| 230 | 3936 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3937 if (Py_SIZE(v) < 0) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3938 return long_neg(v); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3939 else |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3940 return long_long((PyObject *)v); |
| 230 | 3941 } |
| 3942 | |
| 242 | 3943 static int |
|
40401
88133417dfd0
- patch #1600346 submitted by Tomer Filiba
Jack Diederich <jackdied@gmail.com>
parents:
39703
diff
changeset
|
3944 long_bool(PyLongObject *v) |
| 242 | 3945 { |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3946 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
|
3947 } |
|
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
3948 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
3949 static PyObject * |
| 43313 | 3950 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
|
3951 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3952 PyLongObject *z = NULL; |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3953 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
|
3954 digit lomask, himask; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3955 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3956 CHECK_BINOP(a, b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3957 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3958 if (Py_SIZE(a) < 0) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3959 /* Right shifting negative numbers is harder */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3960 PyLongObject *a1, *a2; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3961 a1 = (PyLongObject *) long_invert(a); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3962 if (a1 == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3963 goto rshift_error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3964 a2 = (PyLongObject *) long_rshift(a1, b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3965 Py_DECREF(a1); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3966 if (a2 == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3967 goto rshift_error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3968 z = (PyLongObject *) long_invert(a2); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3969 Py_DECREF(a2); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3970 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3971 else { |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
3972 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
|
3973 if (shiftby == -1L && PyErr_Occurred()) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3974 goto rshift_error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3975 if (shiftby < 0) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3976 PyErr_SetString(PyExc_ValueError, |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3977 "negative shift count"); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3978 goto rshift_error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3979 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3980 wordshift = shiftby / PyLong_SHIFT; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3981 newsize = ABS(Py_SIZE(a)) - wordshift; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3982 if (newsize <= 0) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3983 return PyLong_FromLong(0); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3984 loshift = shiftby % PyLong_SHIFT; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3985 hishift = PyLong_SHIFT - loshift; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3986 lomask = ((digit)1 << hishift) - 1; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3987 himask = PyLong_MASK ^ lomask; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3988 z = _PyLong_New(newsize); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3989 if (z == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3990 goto rshift_error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3991 if (Py_SIZE(a) < 0) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3992 Py_SIZE(z) = -(Py_SIZE(z)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3993 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
|
3994 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
|
3995 if (i+1 < newsize) |
|
61491
829a86e11bd7
Merged revisions 81036 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61466
diff
changeset
|
3996 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
|
3997 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3998 z = long_normalize(z); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
3999 } |
|
61491
829a86e11bd7
Merged revisions 81036 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
parents:
61466
diff
changeset
|
4000 rshift_error: |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4001 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
|
4002 |
|
443
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
4003 } |
|
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
4004 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
4005 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
|
4006 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
|
4007 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4008 /* This version due to Tim Peters */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4009 PyLongObject *a = (PyLongObject*)v; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4010 PyLongObject *b = (PyLongObject*)w; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4011 PyLongObject *z = NULL; |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4012 Py_ssize_t shiftby, oldsize, newsize, wordshift, remshift, i, j; |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4013 twodigits accum; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4014 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4015 CHECK_BINOP(a, b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4016 |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
4017 shiftby = PyLong_AsSsize_t((PyObject *)b); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4018 if (shiftby == -1L && PyErr_Occurred()) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4019 goto lshift_error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4020 if (shiftby < 0) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4021 PyErr_SetString(PyExc_ValueError, "negative shift count"); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4022 goto lshift_error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4023 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4024 /* wordshift, remshift = divmod(shiftby, PyLong_SHIFT) */ |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
4025 wordshift = shiftby / PyLong_SHIFT; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
4026 remshift = shiftby - wordshift * PyLong_SHIFT; |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4027 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4028 oldsize = ABS(Py_SIZE(a)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4029 newsize = oldsize + wordshift; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4030 if (remshift) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4031 ++newsize; |
|
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4032 z = _PyLong_New(newsize); |
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4033 if (z == NULL) |
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4034 goto lshift_error; |
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4035 if (Py_SIZE(a) < 0) |
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4036 NEGATE(z); |
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4037 for (i = 0; i < wordshift; i++) |
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4038 z->ob_digit[i] = 0; |
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4039 accum = 0; |
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4040 for (i = wordshift, j = 0; j < oldsize; i++, j++) { |
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4041 accum |= (twodigits)a->ob_digit[j] << remshift; |
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4042 z->ob_digit[i] = (digit)(accum & PyLong_MASK); |
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4043 accum >>= PyLong_SHIFT; |
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4044 } |
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4045 if (remshift) |
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4046 z->ob_digit[newsize-1] = (digit)accum; |
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4047 else |
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4048 assert(!accum); |
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4049 z = long_normalize(z); |
|
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4050 lshift_error: |
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4051 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
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4052 } |
|
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
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4053 |
|
56734
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4054 /* Compute two's complement of digit vector a[0:m], writing result to |
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4055 z[0:m]. The digit vector a need not be normalized, but should not |
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4056 be entirely zero. a and z may point to the same digit vector. */ |
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4057 |
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4058 static void |
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4059 v_complement(digit *z, digit *a, Py_ssize_t m) |
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4060 { |
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4061 Py_ssize_t i; |
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4062 digit carry = 1; |
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4063 for (i = 0; i < m; ++i) { |
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4064 carry += a[i] ^ PyLong_MASK; |
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4065 z[i] = carry & PyLong_MASK; |
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4066 carry >>= PyLong_SHIFT; |
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4067 } |
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4068 assert(carry == 0); |
|
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4069 } |
|
590
f11fae8ee1e4
Changed to 2's complement bitwise ops. Got rid of ZABS etc.
Guido van Rossum <guido@python.org>
parents:
546
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|
4070 |
|
f11fae8ee1e4
Changed to 2's complement bitwise ops. Got rid of ZABS etc.
Guido van Rossum <guido@python.org>
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|
4071 /* Bitwise and/xor/or operations */ |
|
f11fae8ee1e4
Changed to 2's complement bitwise ops. Got rid of ZABS etc.
Guido van Rossum <guido@python.org>
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546
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4072 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
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|
4073 static PyObject * |
|
13406
a503af7e7fb7
Some cleanup of longs in prepartion for Cray J90 fixes: got
Tim Peters <tim.peters@gmail.com>
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|
4074 long_bitwise(PyLongObject *a, |
|
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4075 int op, /* '&', '|', '^' */ |
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4076 PyLongObject *b) |
|
443
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Guido van Rossum <guido@python.org>
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4077 { |
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4078 int nega, negb, negz; |
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4079 Py_ssize_t size_a, size_b, size_z, i; |
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4080 PyLongObject *z; |
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4081 |
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4082 /* Bitwise operations for negative numbers operate as though |
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4083 on a two's complement representation. So convert arguments |
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4084 from sign-magnitude to two's complement, and convert the |
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4085 result back to sign-magnitude at the end. */ |
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4086 |
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4087 /* If a is negative, replace it by its two's complement. */ |
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4088 size_a = ABS(Py_SIZE(a)); |
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4089 nega = Py_SIZE(a) < 0; |
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4090 if (nega) { |
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4091 z = _PyLong_New(size_a); |
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4092 if (z == NULL) |
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4093 return NULL; |
|
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4094 v_complement(z->ob_digit, a->ob_digit, size_a); |
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4095 a = z; |
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4096 } |
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4097 else |
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4098 /* Keep reference count consistent. */ |
|
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4099 Py_INCREF(a); |
|
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4100 |
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4101 /* Same for b. */ |
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4102 size_b = ABS(Py_SIZE(b)); |
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4103 negb = Py_SIZE(b) < 0; |
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4104 if (negb) { |
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4105 z = _PyLong_New(size_b); |
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4106 if (z == NULL) { |
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4107 Py_DECREF(a); |
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4108 return NULL; |
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4109 } |
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4110 v_complement(z->ob_digit, b->ob_digit, size_b); |
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4111 b = z; |
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4112 } |
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4113 else |
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4114 Py_INCREF(b); |
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4115 |
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4116 /* Swap a and b if necessary to ensure size_a >= size_b. */ |
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4117 if (size_a < size_b) { |
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4118 z = a; a = b; b = z; |
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4119 size_z = size_a; size_a = size_b; size_b = size_z; |
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4120 negz = nega; nega = negb; negb = negz; |
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4121 } |
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4122 |
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4123 /* JRH: The original logic here was to allocate the result value (z) |
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4124 as the longer of the two operands. However, there are some cases |
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4125 where the result is guaranteed to be shorter than that: AND of two |
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4126 positives, OR of two negatives: use the shorter number. AND with |
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4127 mixed signs: use the positive number. OR with mixed signs: use the |
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4128 negative number. |
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4129 */ |
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4130 switch (op) { |
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4131 case '^': |
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4132 negz = nega ^ negb; |
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4133 size_z = size_a; |
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4134 break; |
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4135 case '&': |
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4136 negz = nega & negb; |
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4137 size_z = negb ? size_a : size_b; |
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4138 break; |
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|
4139 case '|': |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
4140 negz = nega | negb; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
4141 size_z = negb ? size_b : size_a; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
4142 break; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
4143 default: |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
4144 PyErr_BadArgument(); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4145 return NULL; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
4146 } |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
4147 |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
4148 /* We allow an extra digit if z is negative, to make sure that |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
4149 the final two's complement of z doesn't overflow. */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
61397
diff
changeset
|
4150 z = _PyLong_New(size_z + negz); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4151 if (z == NULL) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4152 Py_DECREF(a); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
4153 Py_DECREF(b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4154 return NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4155 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4156 |
|
61466
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4157 /* Compute digits for overlap of a and b. */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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61397
diff
changeset
|
4158 switch(op) { |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4159 case '&': |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4160 for (i = 0; i < size_b; ++i) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4161 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
|
4162 break; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
4163 case '|': |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
4164 for (i = 0; i < size_b; ++i) |
|
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Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4165 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
|
4166 break; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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changeset
|
4167 case '^': |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4168 for (i = 0; i < size_b; ++i) |
|
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Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4169 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
|
4170 break; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
4171 default: |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4172 PyErr_BadArgument(); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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|
4173 return NULL; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4174 } |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4175 |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4176 /* Copy any remaining digits of a, inverting if necessary. */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4177 if (op == '^' && negb) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4178 for (; i < size_z; ++i) |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4179 z->ob_digit[i] = a->ob_digit[i] ^ PyLong_MASK; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4180 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
|
4181 memcpy(&z->ob_digit[i], &a->ob_digit[i], |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
4182 (size_z-i)*sizeof(digit)); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
4183 |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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parents:
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diff
changeset
|
4184 /* Complement result if negative. */ |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4185 if (negz) { |
|
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4186 Py_SIZE(z) = -(Py_SIZE(z)); |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4187 z->ob_digit[size_z] = PyLong_MASK; |
|
cab14be0ada1
Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4188 v_complement(z->ob_digit, z->ob_digit, size_z+1); |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4189 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
4190 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
4191 Py_DECREF(a); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
4192 Py_DECREF(b); |
|
61466
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Recorded merge of revisions 81029 via svnmerge from
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diff
changeset
|
4193 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
|
4194 } |
|
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
4195 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
4196 static PyObject * |
| 43313 | 4197 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
|
4198 { |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4199 PyObject *c; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4200 CHECK_BINOP(a, b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
4201 c = long_bitwise((PyLongObject*)a, '&', (PyLongObject*)b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4202 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
|
4203 } |
|
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
4204 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
4205 static PyObject * |
| 43313 | 4206 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
|
4207 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
4208 PyObject *c; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
4209 CHECK_BINOP(a, b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4210 c = long_bitwise((PyLongObject*)a, '^', (PyLongObject*)b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4211 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
|
4212 } |
|
9f85beb1f7c8
Made the sign use one's complement; implemented shifting and masking operators.
Guido van Rossum <guido@python.org>
parents:
406
diff
changeset
|
4213 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
4214 static PyObject * |
| 43313 | 4215 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
|
4216 { |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
4217 PyObject *c; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
4218 CHECK_BINOP(a, b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4219 c = long_bitwise((PyLongObject*)a, '|', (PyLongObject*)b); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
4220 return c; |
| 242 | 4221 } |
| 4222 | |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
4223 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
|
4224 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
|
4225 { |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4226 if (PyLong_CheckExact(v)) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4227 Py_INCREF(v); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4228 else |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4229 v = _PyLong_Copy((PyLongObject *)v); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4230 return v; |
|
26291
d31ddc66b1b5
Change int() so that passing a string, unicode, float or long argument
Walter Dörwald <walter@livinglogic.de>
parents:
26081
diff
changeset
|
4231 } |
|
d31ddc66b1b5
Change int() so that passing a string, unicode, float or long argument
Walter Dörwald <walter@livinglogic.de>
parents:
26081
diff
changeset
|
4232 |
|
d31ddc66b1b5
Change int() so that passing a string, unicode, float or long argument
Walter Dörwald <walter@livinglogic.de>
parents:
26081
diff
changeset
|
4233 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
|
4234 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
|
4235 { |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4236 double result; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4237 result = PyLong_AsDouble(v); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4238 if (result == -1.0 && PyErr_Occurred()) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
4239 return NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
4240 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
|
4241 } |
|
2ed511171809
Made builtins int(), long(), float(), oct() and hex() more generic.
Guido van Rossum <guido@python.org>
parents:
958
diff
changeset
|
4242 |
|
5396
d1447950fa04
Quickly renamed the last directory.
Guido van Rossum <guido@python.org>
parents:
5288
diff
changeset
|
4243 static PyObject * |
|
19552
6c30d20d27f2
Make int, long and float subclassable.
Guido van Rossum <guido@python.org>
parents:
19343
diff
changeset
|
4244 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:
958
diff
changeset
|
4245 |
|
18933
09df3254b49d
Merge of descr-branch back into trunk.
Tim Peters <tim.peters@gmail.com>
parents:
18607
diff
changeset
|
4246 static PyObject * |
|
09df3254b49d
Merge of descr-branch back into trunk.
Tim Peters <tim.peters@gmail.com>
parents:
18607
diff
changeset
|
4247 long_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
|
09df3254b49d
Merge of descr-branch back into trunk.
Tim Peters <tim.peters@gmail.com>
parents:
18607
diff
changeset
|
4248 { |
|
61940
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
61924
diff
changeset
|
4249 PyObject *obase = NULL, *x = NULL; |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
61924
diff
changeset
|
4250 long base; |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
61924
diff
changeset
|
4251 int overflow; |
|
61467
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|
4252 static char *kwlist[] = {"x", "base", 0}; |
|
f197407bdba2
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|
4253 |
|
f197407bdba2
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|
4254 if (type != &PyLong_Type) |
|
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|
4255 return long_subtype_new(type, args, kwds); /* Wimp out */ |
|
61940
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
61924
diff
changeset
|
4256 if (!PyArg_ParseTupleAndKeywords(args, kwds, "|OO:int", kwlist, |
|
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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|
4257 &x, &obase)) |
|
61467
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|
4258 return NULL; |
|
f197407bdba2
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|
4259 if (x == NULL) |
|
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|
4260 return PyLong_FromLong(0L); |
|
61940
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Mark Dickinson <dickinsm@gmail.com>
parents:
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|
4261 if (obase == NULL) |
|
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|
4262 return PyNumber_Long(x); |
|
61940
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Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
4263 |
|
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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|
4264 base = PyLong_AsLongAndOverflow(obase, &overflow); |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
changeset
|
4265 if (base == -1 && PyErr_Occurred()) |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
61924
diff
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|
4266 return NULL; |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
61924
diff
changeset
|
4267 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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diff
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|
4268 PyErr_SetString(PyExc_ValueError, |
|
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Mark Dickinson <dickinsm@gmail.com>
parents:
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|
4269 "int() arg 2 must be >= 2 and <= 36"); |
|
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Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
4270 return NULL; |
|
c42ffb3d63af
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Mark Dickinson <dickinsm@gmail.com>
parents:
61924
diff
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|
4271 } |
|
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Mark Dickinson <dickinsm@gmail.com>
parents:
61924
diff
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|
4272 |
|
c42ffb3d63af
Issue #2844: Make int('42', n) consistently raise ValueError for
Mark Dickinson <dickinsm@gmail.com>
parents:
61924
diff
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|
4273 if (PyUnicode_Check(x)) |
| 72475 | 4274 return PyLong_FromUnicodeObject(x, (int)base); |
|
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|
4275 else if (PyByteArray_Check(x) || PyBytes_Check(x)) { |
|
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|
4276 /* Since PyLong_FromString doesn't have a length parameter, |
|
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|
4277 * check here for possible NULs in the string. */ |
|
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|
4278 char *string; |
|
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|
4279 Py_ssize_t size = Py_SIZE(x); |
|
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4280 if (PyByteArray_Check(x)) |
|
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4281 string = PyByteArray_AS_STRING(x); |
|
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|
4282 else |
|
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|
4283 string = PyBytes_AS_STRING(x); |
|
79004
3d5db784821f
Fix out of bounds read in long_new() for empty bytes with an explicit base. int(b'', somebase) calls PyLong_FromString() with char* of length 1 but the function accesses the first argument at offset 1. CID 715359
Christian Heimes <christian@cheimes.de>
parents:
76440
diff
changeset
|
4284 if (strlen(string) != (size_t)size || !size) { |
|
3d5db784821f
Fix out of bounds read in long_new() for empty bytes with an explicit base. int(b'', somebase) calls PyLong_FromString() with char* of length 1 but the function accesses the first argument at offset 1. CID 715359
Christian Heimes <christian@cheimes.de>
parents:
76440
diff
changeset
|
4285 /* We only see this if there's a null byte in x or x is empty, |
|
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|
4286 x is a bytes or buffer, *and* a base is given. */ |
|
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|
4287 PyErr_Format(PyExc_ValueError, |
|
61491
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|
4288 "invalid literal for int() with base %d: %R", |
|
61940
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Mark Dickinson <dickinsm@gmail.com>
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|
4289 (int)base, x); |
|
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|
4290 return NULL; |
|
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|
4291 } |
|
61940
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Mark Dickinson <dickinsm@gmail.com>
parents:
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diff
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|
4292 return PyLong_FromString(string, NULL, (int)base); |
|
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|
4293 } |
|
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4294 else { |
|
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|
4295 PyErr_SetString(PyExc_TypeError, |
|
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4296 "int() can't convert non-string with explicit base"); |
|
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|
4297 return NULL; |
|
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|
4298 } |
|
18933
09df3254b49d
Merge of descr-branch back into trunk.
Tim Peters <tim.peters@gmail.com>
parents:
18607
diff
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|
4299 } |
|
09df3254b49d
Merge of descr-branch back into trunk.
Tim Peters <tim.peters@gmail.com>
parents:
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diff
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|
4300 |
|
19552
6c30d20d27f2
Make int, long and float subclassable.
Guido van Rossum <guido@python.org>
parents:
19343
diff
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|
4301 /* 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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|
4302 first create a regular long from whatever arguments we got, |
|
6c30d20d27f2
Make int, long and float subclassable.
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parents:
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diff
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|
4303 then allocate a subtype instance and initialize it from |
|
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Make int, long and float subclassable.
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|
4304 the regular long. The regular long is then thrown away. |
|
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Make int, long and float subclassable.
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|
4305 */ |
|
6c30d20d27f2
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Guido van Rossum <guido@python.org>
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|
4306 static PyObject * |
|
6c30d20d27f2
Make int, long and float subclassable.
Guido van Rossum <guido@python.org>
parents:
19343
diff
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|
4307 long_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
|
6c30d20d27f2
Make int, long and float subclassable.
Guido van Rossum <guido@python.org>
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|
4308 { |
|
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4309 PyLongObject *tmp, *newobj; |
|
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|
4310 Py_ssize_t i, n; |
|
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4311 |
|
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|
4312 assert(PyType_IsSubtype(type, &PyLong_Type)); |
|
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|
4313 tmp = (PyLongObject *)long_new(&PyLong_Type, args, kwds); |
|
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|
4314 if (tmp == NULL) |
|
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|
4315 return NULL; |
|
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|
4316 assert(PyLong_CheckExact(tmp)); |
|
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|
4317 n = Py_SIZE(tmp); |
|
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|
4318 if (n < 0) |
|
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|
4319 n = -n; |
|
f197407bdba2
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|
4320 newobj = (PyLongObject *)type->tp_alloc(type, n); |
|
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|
4321 if (newobj == NULL) { |
|
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|
4322 Py_DECREF(tmp); |
|
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|
4323 return NULL; |
|
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|
4324 } |
|
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|
4325 assert(PyLong_Check(newobj)); |
|
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|
4326 Py_SIZE(newobj) = Py_SIZE(tmp); |
|
f197407bdba2
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|
4327 for (i = 0; i < n; i++) |
|
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|
4328 newobj->ob_digit[i] = tmp->ob_digit[i]; |
|
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|
4329 Py_DECREF(tmp); |
|
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|
4330 return (PyObject *)newobj; |
|
19552
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Make int, long and float subclassable.
Guido van Rossum <guido@python.org>
parents:
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diff
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|
4331 } |
|
6c30d20d27f2
Make int, long and float subclassable.
Guido van Rossum <guido@python.org>
parents:
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diff
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|
4332 |
|
27521
17bfd5dbc0f1
Implement appropriate __getnewargs__ for all immutable subclassable builtin
Guido van Rossum <guido@python.org>
parents:
27487
diff
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|
4333 static PyObject * |
|
17bfd5dbc0f1
Implement appropriate __getnewargs__ for all immutable subclassable builtin
Guido van Rossum <guido@python.org>
parents:
27487
diff
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|
4334 long_getnewargs(PyLongObject *v) |
|
17bfd5dbc0f1
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parents:
27487
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|
4335 { |
|
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|
4336 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
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|
4337 } |
|
17bfd5dbc0f1
Implement appropriate __getnewargs__ for all immutable subclassable builtin
Guido van Rossum <guido@python.org>
parents:
27487
diff
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|
4338 |
|
42417
d3a5c796c8ba
Changes to long and float by Jeffrey Jasskin to conform to PEP 3141.
Guido van Rossum <guido@python.org>
parents:
42334
diff
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|
4339 static PyObject * |
|
53676
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|
4340 long_get0(PyLongObject *v, void *context) { |
|
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|
4341 return PyLong_FromLong(0L); |
|
53676
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|
4342 } |
|
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|
4343 |
|
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|
4344 static PyObject * |
|
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|
4345 long_get1(PyLongObject *v, void *context) { |
|
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|
4346 return PyLong_FromLong(1L); |
|
42417
d3a5c796c8ba
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Guido van Rossum <guido@python.org>
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|
4347 } |
|
d3a5c796c8ba
Changes to long and float by Jeffrey Jasskin to conform to PEP 3141.
Guido van Rossum <guido@python.org>
parents:
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|
4348 |
|
42753
077fe7860cc9
Finish the work on __round__ and __trunc__.
Guido van Rossum <guido@python.org>
parents:
42719
diff
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|
4349 static PyObject * |
|
42817
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42753
diff
changeset
|
4350 long__format__(PyObject *self, PyObject *args) |
|
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
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|
4351 { |
|
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|
4352 PyObject *format_spec; |
|
77223
22b56b0b8619
Issue #14744: Use the new _PyUnicodeWriter internal API to speed up str%args and str.format(args)
Victor Stinner <victor.stinner@gmail.com>
parents:
76560
diff
changeset
|
4353 _PyUnicodeWriter writer; |
|
22b56b0b8619
Issue #14744: Use the new _PyUnicodeWriter internal API to speed up str%args and str.format(args)
Victor Stinner <victor.stinner@gmail.com>
parents:
76560
diff
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|
4354 int ret; |
|
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4355 |
|
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|
4356 if (!PyArg_ParseTuple(args, "U:__format__", &format_spec)) |
|
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|
4357 return NULL; |
|
77223
22b56b0b8619
Issue #14744: Use the new _PyUnicodeWriter internal API to speed up str%args and str.format(args)
Victor Stinner <victor.stinner@gmail.com>
parents:
76560
diff
changeset
|
4358 |
|
22b56b0b8619
Issue #14744: Use the new _PyUnicodeWriter internal API to speed up str%args and str.format(args)
Victor Stinner <victor.stinner@gmail.com>
parents:
76560
diff
changeset
|
4359 _PyUnicodeWriter_Init(&writer, 0); |
|
22b56b0b8619
Issue #14744: Use the new _PyUnicodeWriter internal API to speed up str%args and str.format(args)
Victor Stinner <victor.stinner@gmail.com>
parents:
76560
diff
changeset
|
4360 ret = _PyLong_FormatAdvancedWriter( |
|
22b56b0b8619
Issue #14744: Use the new _PyUnicodeWriter internal API to speed up str%args and str.format(args)
Victor Stinner <victor.stinner@gmail.com>
parents:
76560
diff
changeset
|
4361 &writer, |
|
22b56b0b8619
Issue #14744: Use the new _PyUnicodeWriter internal API to speed up str%args and str.format(args)
Victor Stinner <victor.stinner@gmail.com>
parents:
76560
diff
changeset
|
4362 self, |
|
22b56b0b8619
Issue #14744: Use the new _PyUnicodeWriter internal API to speed up str%args and str.format(args)
Victor Stinner <victor.stinner@gmail.com>
parents:
76560
diff
changeset
|
4363 format_spec, 0, PyUnicode_GET_LENGTH(format_spec)); |
|
22b56b0b8619
Issue #14744: Use the new _PyUnicodeWriter internal API to speed up str%args and str.format(args)
Victor Stinner <victor.stinner@gmail.com>
parents:
76560
diff
changeset
|
4364 if (ret == -1) { |
|
22b56b0b8619
Issue #14744: Use the new _PyUnicodeWriter internal API to speed up str%args and str.format(args)
Victor Stinner <victor.stinner@gmail.com>
parents:
76560
diff
changeset
|
4365 _PyUnicodeWriter_Dealloc(&writer); |
|
22b56b0b8619
Issue #14744: Use the new _PyUnicodeWriter internal API to speed up str%args and str.format(args)
Victor Stinner <victor.stinner@gmail.com>
parents:
76560
diff
changeset
|
4366 return NULL; |
|
22b56b0b8619
Issue #14744: Use the new _PyUnicodeWriter internal API to speed up str%args and str.format(args)
Victor Stinner <victor.stinner@gmail.com>
parents:
76560
diff
changeset
|
4367 } |
|
22b56b0b8619
Issue #14744: Use the new _PyUnicodeWriter internal API to speed up str%args and str.format(args)
Victor Stinner <victor.stinner@gmail.com>
parents:
76560
diff
changeset
|
4368 return _PyUnicodeWriter_Finish(&writer); |
|
42817
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42753
diff
changeset
|
4369 } |
|
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42753
diff
changeset
|
4370 |
|
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 /* 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
|
4372 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
|
4373 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
|
4374 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
|
4375 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4376 PyObject * |
|
62154
0d9347934cc5
Fix naming inconsistency.
Mark Dickinson <dickinsm@gmail.com>
parents:
61940
diff
changeset
|
4377 _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
|
4378 { |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4379 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
|
4380 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
|
4381 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
|
4382 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4383 /* 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
|
4384 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4385 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
|
4386 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
|
4387 # 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
|
4388 # 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
|
4389 # 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
|
4390 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
|
4391 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
|
4392 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
|
4393 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
|
4394 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
|
4395 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
|
4396 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4397 */ |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4398 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
|
4399 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
|
4400 "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
|
4401 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
|
4402 } |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4403 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4404 /* 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
|
4405 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
|
4406 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4407 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
|
4408 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
|
4409 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
|
4410 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4411 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
|
4412 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
|
4413 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4414 /* 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
|
4415 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
|
4416 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
|
4417 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
|
4418 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
|
4419 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
|
4420 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
|
4421 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
|
4422 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
|
4423 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
|
4424 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
|
4425 } |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4426 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
|
4427 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
|
4428 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4429 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
|
4430 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
|
4431 /* 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
|
4432 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
|
4433 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
|
4434 else |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4435 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
|
4436 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
|
4437 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
|
4438 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
|
4439 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
|
4440 /* 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
|
4441 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
|
4442 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
|
4443 else |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4444 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
|
4445 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
|
4446 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
|
4447 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
|
4448 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
|
4449 } |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4450 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4451 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
|
4452 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
|
4453 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
|
4454 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4455 /* 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
|
4456 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
|
4457 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
|
4458 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
|
4459 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
|
4460 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4461 error: |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4462 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
|
4463 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
|
4464 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
|
4465 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
|
4466 } |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4467 |
|
42817
5355337709e1
Implementation of PEP 3101, Advanced String Formatting.
Eric Smith <eric@trueblade.com>
parents:
42753
diff
changeset
|
4468 static PyObject * |
|
42753
077fe7860cc9
Finish the work on __round__ and __trunc__.
Guido van Rossum <guido@python.org>
parents:
42719
diff
changeset
|
4469 long_round(PyObject *self, PyObject *args) |
|
077fe7860cc9
Finish the work on __round__ and __trunc__.
Guido van Rossum <guido@python.org>
parents:
42719
diff
changeset
|
4470 { |
|
61924
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4471 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
|
4472 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4473 /* 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
|
4474 * 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
|
4475 * |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4476 * 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
|
4477 * |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4478 * 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
|
4479 * 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
|
4480 * 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
|
4481 * 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
|
4482 * |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4483 * 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
|
4484 * |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4485 * 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
|
4486 */ |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4487 if (!PyArg_ParseTuple(args, "|O", &o_ndigits)) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4488 return NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4489 if (o_ndigits == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4490 return long_long(self); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4491 |
|
61924
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4492 ndigits = PyNumber_Index(o_ndigits); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4493 if (ndigits == NULL) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
4494 return NULL; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4495 |
|
61924
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4496 /* if ndigits >= 0 then no rounding is necessary; return self unchanged */ |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4497 if (Py_SIZE(ndigits) >= 0) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
4498 Py_DECREF(ndigits); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4499 return long_long(self); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4500 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
60446
diff
changeset
|
4501 |
|
61924
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4502 /* 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
|
4503 temp = long_neg((PyLongObject*)ndigits); |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
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diff
changeset
|
4504 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
|
4505 ndigits = temp; |
|
61467
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
4506 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
|
4507 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
|
4508 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4509 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
|
4510 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
|
4511 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
|
4512 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
|
4513 } |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4514 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4515 temp = long_pow(result, ndigits, Py_None); |
|
61467
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parents:
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diff
changeset
|
4516 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
|
4517 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
|
4518 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
|
4519 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
|
4520 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
|
4521 |
|
62154
0d9347934cc5
Fix naming inconsistency.
Mark Dickinson <dickinsm@gmail.com>
parents:
61940
diff
changeset
|
4522 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
|
4523 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
|
4524 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
|
4525 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
|
4526 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
|
4527 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4528 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
|
4529 (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
|
4530 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
|
4531 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
|
4532 |
|
81a580d947ef
Issue #8817: Expose round-to-nearest variant of divmod in _PyLong_Divmod_Near
Mark Dickinson <dickinsm@gmail.com>
parents:
61873
diff
changeset
|
4533 return result; |
|
42753
077fe7860cc9
Finish the work on __round__ and __trunc__.
Guido van Rossum <guido@python.org>
parents:
42719
diff
changeset
|
4534 } |
|
077fe7860cc9
Finish the work on __round__ and __trunc__.
Guido van Rossum <guido@python.org>
parents:
42719
diff
changeset
|
4535 |
|
47466
58f4b60773fe
Merged revisions 63856-63857,63859-63860 via svnmerge from
Martin v. Löwis <martin@v.loewis.de>
parents:
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diff
changeset
|
4536 static PyObject * |
|
58f4b60773fe
Merged revisions 63856-63857,63859-63860 via svnmerge from
Martin v. Löwis <martin@v.loewis.de>
parents:
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diff
changeset
|
4537 long_sizeof(PyLongObject *v) |
|
58f4b60773fe
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|
4538 { |
|
61467
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|
4539 Py_ssize_t res; |
|
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|
4540 |
|
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|
4541 res = offsetof(PyLongObject, ob_digit) + ABS(Py_SIZE(v))*sizeof(digit); |
|
f197407bdba2
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changeset
|
4542 return PyLong_FromSsize_t(res); |
|
47466
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|
4543 } |
|
58f4b60773fe
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diff
changeset
|
4544 |
|
50207
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
50026
diff
changeset
|
4545 static PyObject * |
|
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
50026
diff
changeset
|
4546 long_bit_length(PyLongObject *v) |
|
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
|
4547 { |
|
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changeset
|
4548 PyLongObject *result, *x, *y; |
|
f197407bdba2
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changeset
|
4549 Py_ssize_t ndigits, msd_bits = 0; |
|
f197407bdba2
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changeset
|
4550 digit msd; |
|
f197407bdba2
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|
4551 |
|
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changeset
|
4552 assert(v != NULL); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4553 assert(PyLong_Check(v)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4554 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
4555 ndigits = ABS(Py_SIZE(v)); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
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diff
changeset
|
4556 if (ndigits == 0) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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diff
changeset
|
4557 return PyLong_FromLong(0); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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parents:
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|
4558 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4559 msd = v->ob_digit[ndigits-1]; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
Antoine Pitrou <solipsis@pitrou.net>
parents:
60446
diff
changeset
|
4560 while (msd >= 32) { |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4561 msd_bits += 6; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4562 msd >>= 6; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4563 } |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4564 msd_bits += (long)(BitLengthTable[msd]); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4565 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
4566 if (ndigits <= PY_SSIZE_T_MAX/PyLong_SHIFT) |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
4567 return PyLong_FromSsize_t((ndigits-1)*PyLong_SHIFT + msd_bits); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4568 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
4569 /* expression above may overflow; use Python integers instead */ |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4570 result = (PyLongObject *)PyLong_FromSsize_t(ndigits - 1); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4571 if (result == NULL) |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4572 return NULL; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4573 x = (PyLongObject *)PyLong_FromLong(PyLong_SHIFT); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4574 if (x == NULL) |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
4575 goto error; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4576 y = (PyLongObject *)long_mul(result, x); |
|
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Recorded merge of revisions 81032 via svnmerge from
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changeset
|
4577 Py_DECREF(x); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4578 if (y == NULL) |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4579 goto error; |
|
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Recorded merge of revisions 81032 via svnmerge from
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diff
changeset
|
4580 Py_DECREF(result); |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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changeset
|
4581 result = y; |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4582 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4583 x = (PyLongObject *)PyLong_FromLong((long)msd_bits); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4584 if (x == NULL) |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4585 goto error; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4586 y = (PyLongObject *)long_add(result, x); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4587 Py_DECREF(x); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4588 if (y == NULL) |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4589 goto error; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4590 Py_DECREF(result); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4591 result = y; |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4592 |
|
f197407bdba2
Recorded merge of revisions 81032 via svnmerge from
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|
4593 return (PyObject *)result; |
|
50207
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
50026
diff
changeset
|
4594 |
|
61491
829a86e11bd7
Merged revisions 81036 via svnmerge from
Mark Dickinson <dickinsm@gmail.com>
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61466
diff
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|
4595 error: |
|
61467
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Recorded merge of revisions 81032 via svnmerge from
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|
4596 Py_DECREF(result); |
|
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Recorded merge of revisions 81032 via svnmerge from
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|
4597 return NULL; |
|
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
|
4598 } |
|
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
|
4599 |
|
92e21652f2f4
Forward merge of r67822 to py3k: add bit_length method to int.
Mark Dickinson <dickinsm@gmail.com>
parents:
50026
diff
changeset
|
4600 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:
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diff
changeset
|
4601 "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
|
4602 \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
|
4603 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:
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diff
changeset
|
4604 >>> bin(37)\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
|
4605 '0b100101'\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
|
4606 >>> (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
|
4607 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
|
4608 |
|
46477
b69f443ef480
Merged revisions 62380,62382-62383 via svnmerge from
Christian Heimes <christian@cheimes.de>
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changeset
|
4609 #if 0 |
|
b69f443ef480
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changeset
|
4610 static PyObject * |
|
b69f443ef480
Merged revisions 62380,62382-62383 via svnmerge from
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|
4611 long_is_finite(PyObject *v) |
|
b69f443ef480
Merged revisions 62380,62382-62383 via svnmerge from
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|
4612 { |
|
61467
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|
4613 Py_RETURN_TRUE; |
|
46477
b69f443ef480
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|
4614 } |
|
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|
4615 #endif |
|
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|
4616 |
|
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
|
4617 |
|
f9c0c411f80c
Issue #1023290: Added API for the conversion of longs to bytes and vice-versa.
Alexandre Vassalotti <alexandre@peadrop.com>
parents:
58088
diff
changeset
|
4618 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
|
4619 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:
58088
diff
changeset
|
4620 { |
|
61466
cab14be0ada1
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|
4621 PyObject *byteorder_str; |
|
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|
4622 PyObject *is_signed_obj = NULL; |
|
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|
4623 Py_ssize_t length; |
|
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|
4624 int little_endian; |
|
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|
4625 int is_signed; |
|
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|
4626 PyObject *bytes; |
|
cab14be0ada1
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|
4627 static char *kwlist[] = {"length", "byteorder", "signed", NULL}; |
|
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|
4628 |
|
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|
4629 if (!PyArg_ParseTupleAndKeywords(args, kwds, "nU|O:to_bytes", kwlist, |
|
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|
4630 &length, &byteorder_str, |
|
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|
4631 &is_signed_obj)) |
|
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|
4632 return NULL; |
|
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|
4633 |
|
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|
4634 if (args != NULL && Py_SIZE(args) > 2) { |
|
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|
4635 PyErr_SetString(PyExc_TypeError, |
|
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|
4636 "'signed' is a keyword-only argument"); |
|
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|
4637 return NULL; |
|
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|
4638 } |
|
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|
4639 |
|
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|
4640 if (!PyUnicode_CompareWithASCIIString(byteorder_str, "little")) |
|
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|
4641 little_endian = 1; |
|
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|
4642 else if (!PyUnicode_CompareWithASCIIString(byteorder_str, "big")) |
|
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|
4643 little_endian = 0; |
|
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|
4644 else { |
|
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|
4645 PyErr_SetString(PyExc_ValueError, |
|
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|
4646 "byteorder must be either 'little' or 'big'"); |
|
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|
4647 return NULL; |
|
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|
4648 } |
|
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|
4649 |
|
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|
4650 if (is_signed_obj != NULL) { |
|
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|
4651 int cmp = PyObject_IsTrue(is_signed_obj); |
|
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|
4652 if (cmp < 0) |
|
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|
4653 return NULL; |
|
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|
4654 is_signed = cmp ? 1 : 0; |
|
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|
4655 } |
|
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|
4656 else { |
|
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|
4657 /* If the signed argument was omitted, use False as the |
|
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|
4658 default. */ |
|
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|
4659 is_signed = 0; |
|
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|
4660 } |
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|
4661 |
|
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|
4662 if (length < 0) { |
|
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|
4663 PyErr_SetString(PyExc_ValueError, |
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|
4664 "length argument must be non-negative"); |
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|
4665 return NULL; |
|
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|
4666 } |
|
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|
4667 |
|
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|
4668 bytes = PyBytes_FromStringAndSize(NULL, length); |
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|
4669 if (bytes == NULL) |
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|
4670 return NULL; |
|
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|
4671 |
|
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4672 if (_PyLong_AsByteArray(v, (unsigned char *)PyBytes_AS_STRING(bytes), |
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|
4673 length, little_endian, is_signed) < 0) { |
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4674 Py_DECREF(bytes); |
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4675 return NULL; |
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4676 } |
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4677 |
|
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4678 return bytes; |
|
58223
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|
4679 } |
|
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4680 |
|
58596
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|
4681 PyDoc_STRVAR(long_to_bytes_doc, |
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4682 "int.to_bytes(length, byteorder, *, signed=False) -> bytes\n\ |
|
58223
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4683 \n\ |
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|
4684 Return an array of bytes representing an integer.\n\ |
|
58223
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4685 \n\ |
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4686 The integer is represented using length bytes. An OverflowError is\n\ |
|
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4687 raised if the integer is not representable with the given number of\n\ |
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4688 bytes.\n\ |
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|
4689 \n\ |
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|
4690 The byteorder argument determines the byte order used to represent the\n\ |
|
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|
4691 integer. If byteorder is 'big', the most significant byte is at the\n\ |
|
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|
4692 beginning of the byte array. If byteorder is 'little', the most\n\ |
|
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4693 significant byte is at the end of the byte array. To request the native\n\ |
|
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|
4694 byte order of the host system, use `sys.byteorder' as the byte order value.\n\ |
|
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|
4695 \n\ |
|
58596
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|
4696 The signed keyword-only argument determines whether two's complement is\n\ |
|
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4697 used to represent the integer. If signed is False and a negative integer\n\ |
|
58596
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|
4698 is given, an OverflowError is raised."); |
|
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|
4699 |
|
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|
4700 static PyObject * |
|
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|
4701 long_from_bytes(PyTypeObject *type, PyObject *args, PyObject *kwds) |
|
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4702 { |
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61466
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4703 PyObject *byteorder_str; |
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4704 PyObject *is_signed_obj = NULL; |
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4705 int little_endian; |
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4706 int is_signed; |
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4707 PyObject *obj; |
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4708 PyObject *bytes; |
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4709 PyObject *long_obj; |
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4710 static char *kwlist[] = {"bytes", "byteorder", "signed", NULL}; |
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4711 |
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4712 if (!PyArg_ParseTupleAndKeywords(args, kwds, "OU|O:from_bytes", kwlist, |
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4713 &obj, &byteorder_str, |
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4714 &is_signed_obj)) |
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4715 return NULL; |
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4716 |
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4717 if (args != NULL && Py_SIZE(args) > 2) { |
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4718 PyErr_SetString(PyExc_TypeError, |
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4719 "'signed' is a keyword-only argument"); |
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4720 return NULL; |
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4721 } |
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4722 |
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4723 if (!PyUnicode_CompareWithASCIIString(byteorder_str, "little")) |
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4724 little_endian = 1; |
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4725 else if (!PyUnicode_CompareWithASCIIString(byteorder_str, "big")) |
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4726 little_endian = 0; |
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4727 else { |
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4728 PyErr_SetString(PyExc_ValueError, |
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4729 "byteorder must be either 'little' or 'big'"); |
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4730 return NULL; |
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4731 } |
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4732 |
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4733 if (is_signed_obj != NULL) { |
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4734 int cmp = PyObject_IsTrue(is_signed_obj); |
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4735 if (cmp < 0) |
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4736 return NULL; |
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4737 is_signed = cmp ? 1 : 0; |
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4738 } |
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4739 else { |
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4740 /* If the signed argument was omitted, use False as the |
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4741 default. */ |
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4742 is_signed = 0; |
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4743 } |
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4744 |
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4745 bytes = PyObject_Bytes(obj); |
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4746 if (bytes == NULL) |
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4747 return NULL; |
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4748 |
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4749 long_obj = _PyLong_FromByteArray( |
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4750 (unsigned char *)PyBytes_AS_STRING(bytes), Py_SIZE(bytes), |
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4751 little_endian, is_signed); |
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4752 Py_DECREF(bytes); |
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4753 |
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4754 /* If from_bytes() was used on subclass, allocate new subclass |
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4755 * instance, initialize it with decoded long value and return it. |
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4756 */ |
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4757 if (type != &PyLong_Type && PyType_IsSubtype(type, &PyLong_Type)) { |
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4758 PyLongObject *newobj; |
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4759 int i; |
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4760 Py_ssize_t n = ABS(Py_SIZE(long_obj)); |
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4761 |
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4762 newobj = (PyLongObject *)type->tp_alloc(type, n); |
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4763 if (newobj == NULL) { |
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4764 Py_DECREF(long_obj); |
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4765 return NULL; |
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4766 } |
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4767 assert(PyLong_Check(newobj)); |
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4768 Py_SIZE(newobj) = Py_SIZE(long_obj); |
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4769 for (i = 0; i < n; i++) { |
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4770 newobj->ob_digit[i] = |
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4771 ((PyLongObject *)long_obj)->ob_digit[i]; |
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4772 } |
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4773 Py_DECREF(long_obj); |
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4774 return (PyObject *)newobj; |
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4775 } |
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4776 |
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4777 return long_obj; |
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4778 } |
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4779 |
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4780 PyDoc_STRVAR(long_from_bytes_doc, |
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4781 "int.from_bytes(bytes, byteorder, *, signed=False) -> int\n\ |
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4782 \n\ |
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4783 Return the integer represented by the given array of bytes.\n\ |
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4784 \n\ |
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4785 The bytes argument must either support the buffer protocol or be an\n\ |
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4786 iterable object producing bytes. Bytes and bytearray are examples of\n\ |
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4787 built-in objects that support the buffer protocol.\n\ |
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4788 \n\ |
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4789 The byteorder argument determines the byte order used to represent the\n\ |
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4790 integer. If byteorder is 'big', the most significant byte is at the\n\ |
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4791 beginning of the byte array. If byteorder is 'little', the most\n\ |
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4792 significant byte is at the end of the byte array. To request the native\n\ |
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4793 byte order of the host system, use `sys.byteorder' as the byte order value.\n\ |
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4794 \n\ |
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4795 The signed keyword-only argument indicates whether two's complement is\n\ |
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4796 used to represent the integer."); |
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4797 |
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4798 static PyMethodDef long_methods[] = { |
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4799 {"conjugate", (PyCFunction)long_long, METH_NOARGS, |
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4800 "Returns self, the complex conjugate of any int."}, |
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4801 {"bit_length", (PyCFunction)long_bit_length, METH_NOARGS, |
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4802 long_bit_length_doc}, |
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4803 #if 0 |
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4804 {"is_finite", (PyCFunction)long_is_finite, METH_NOARGS, |
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4805 "Returns always True."}, |
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4806 #endif |
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4807 {"to_bytes", (PyCFunction)long_to_bytes, |
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4808 METH_VARARGS|METH_KEYWORDS, long_to_bytes_doc}, |
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4809 {"from_bytes", (PyCFunction)long_from_bytes, |
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4810 METH_VARARGS|METH_KEYWORDS|METH_CLASS, long_from_bytes_doc}, |
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4811 {"__trunc__", (PyCFunction)long_long, METH_NOARGS, |
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4812 "Truncating an Integral returns itself."}, |
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4813 {"__floor__", (PyCFunction)long_long, METH_NOARGS, |
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4814 "Flooring an Integral returns itself."}, |
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4815 {"__ceil__", (PyCFunction)long_long, METH_NOARGS, |
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4816 "Ceiling of an Integral returns itself."}, |
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4817 {"__round__", (PyCFunction)long_round, METH_VARARGS, |
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4818 "Rounding an Integral returns itself.\n" |
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4819 "Rounding with an ndigits argument also returns an integer."}, |
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4820 {"__getnewargs__", (PyCFunction)long_getnewargs, METH_NOARGS}, |
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4821 {"__format__", (PyCFunction)long__format__, METH_VARARGS}, |
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4822 {"__sizeof__", (PyCFunction)long_sizeof, METH_NOARGS, |
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4823 "Returns size in memory, in bytes"}, |
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4824 {NULL, NULL} /* sentinel */ |
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4825 }; |
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4826 |
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4827 static PyGetSetDef long_getset[] = { |
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4828 {"real", |
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4829 (getter)long_long, (setter)NULL, |
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4830 "the real part of a complex number", |
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4831 NULL}, |
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4832 {"imag", |
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4833 (getter)long_get0, (setter)NULL, |
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4834 "the imaginary part of a complex number", |
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4835 NULL}, |
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4836 {"numerator", |
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4837 (getter)long_long, (setter)NULL, |
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4838 "the numerator of a rational number in lowest terms", |
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4839 NULL}, |
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4840 {"denominator", |
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4841 (getter)long_get1, (setter)NULL, |
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4842 "the denominator of a rational number in lowest terms", |
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4843 NULL}, |
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4844 {NULL} /* Sentinel */ |
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4845 }; |
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4846 |
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4847 PyDoc_STRVAR(long_doc, |
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4848 "int(x=0) -> integer\n\ |
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4849 int(x, base=10) -> integer\n\ |
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4850 \n\ |
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4851 Convert a number or string to an integer, or return 0 if no arguments\n\ |
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4852 are given. If x is a number, return x.__int__(). For floating point\n\ |
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4853 numbers, this truncates towards zero.\n\ |
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4854 \n\ |
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4855 If x is not a number or if base is given, then x must be a string,\n\ |
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4856 bytes, or bytearray instance representing an integer literal in the\n\ |
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4857 given base. The literal can be preceded by '+' or '-' and be surrounded\n\ |
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4858 by whitespace. The base defaults to 10. Valid bases are 0 and 2-36.\n\ |
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4859 Base 0 means to interpret the base from the string as an integer literal.\n\ |
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4860 >>> int('0b100', base=0)\n\ |
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4861 4"); |
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4862 |
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4863 static PyNumberMethods long_as_number = { |
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4864 (binaryfunc)long_add, /*nb_add*/ |
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4865 (binaryfunc)long_sub, /*nb_subtract*/ |
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4866 (binaryfunc)long_mul, /*nb_multiply*/ |
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4867 long_mod, /*nb_remainder*/ |
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4868 long_divmod, /*nb_divmod*/ |
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4869 long_pow, /*nb_power*/ |
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4870 (unaryfunc)long_neg, /*nb_negative*/ |
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4871 (unaryfunc)long_long, /*tp_positive*/ |
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4872 (unaryfunc)long_abs, /*tp_absolute*/ |
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4873 (inquiry)long_bool, /*tp_bool*/ |
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4874 (unaryfunc)long_invert, /*nb_invert*/ |
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4875 long_lshift, /*nb_lshift*/ |
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4876 (binaryfunc)long_rshift, /*nb_rshift*/ |
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4877 long_and, /*nb_and*/ |
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4878 long_xor, /*nb_xor*/ |
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4879 long_or, /*nb_or*/ |
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4880 long_long, /*nb_int*/ |
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4881 0, /*nb_reserved*/ |
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4882 long_float, /*nb_float*/ |
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4883 0, /* nb_inplace_add */ |
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4884 0, /* nb_inplace_subtract */ |
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4885 0, /* nb_inplace_multiply */ |
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4886 0, /* nb_inplace_remainder */ |
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4887 0, /* nb_inplace_power */ |
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4888 0, /* nb_inplace_lshift */ |
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4889 0, /* nb_inplace_rshift */ |
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4890 0, /* nb_inplace_and */ |
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4891 0, /* nb_inplace_xor */ |
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4892 0, /* nb_inplace_or */ |
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4893 long_div, /* nb_floor_divide */ |
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4894 long_true_divide, /* nb_true_divide */ |
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4895 0, /* nb_inplace_floor_divide */ |
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4896 0, /* nb_inplace_true_divide */ |
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4897 long_long, /* nb_index */ |
| 230 | 4898 }; |
| 4899 | |
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5396
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4900 PyTypeObject PyLong_Type = { |
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4901 PyVarObject_HEAD_INIT(&PyType_Type, 0) |
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4902 "int", /* tp_name */ |
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4903 offsetof(PyLongObject, ob_digit), /* tp_basicsize */ |
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4904 sizeof(digit), /* tp_itemsize */ |
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4905 long_dealloc, /* tp_dealloc */ |
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4906 0, /* tp_print */ |
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4907 0, /* tp_getattr */ |
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4908 0, /* tp_setattr */ |
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4909 0, /* tp_reserved */ |
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4910 long_to_decimal_string, /* tp_repr */ |
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4911 &long_as_number, /* tp_as_number */ |
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4912 0, /* tp_as_sequence */ |
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4913 0, /* tp_as_mapping */ |
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4914 (hashfunc)long_hash, /* tp_hash */ |
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4915 0, /* tp_call */ |
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4916 long_to_decimal_string, /* tp_str */ |
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4917 PyObject_GenericGetAttr, /* tp_getattro */ |
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4918 0, /* tp_setattro */ |
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4919 0, /* tp_as_buffer */ |
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4920 Py_TPFLAGS_DEFAULT | Py_TPFLAGS_BASETYPE | |
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4921 Py_TPFLAGS_LONG_SUBCLASS, /* tp_flags */ |
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4922 long_doc, /* tp_doc */ |
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4923 0, /* tp_traverse */ |
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4924 0, /* tp_clear */ |
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4925 long_richcompare, /* tp_richcompare */ |
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4926 0, /* tp_weaklistoffset */ |
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4927 0, /* tp_iter */ |
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4928 0, /* tp_iternext */ |
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4929 long_methods, /* tp_methods */ |
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4930 0, /* tp_members */ |
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4931 long_getset, /* tp_getset */ |
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4932 0, /* tp_base */ |
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4933 0, /* tp_dict */ |
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4934 0, /* tp_descr_get */ |
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4935 0, /* tp_descr_set */ |
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4936 0, /* tp_dictoffset */ |
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4937 0, /* tp_init */ |
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4938 0, /* tp_alloc */ |
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4939 long_new, /* tp_new */ |
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4940 PyObject_Del, /* tp_free */ |
| 230 | 4941 }; |
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40626
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4942 |
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4943 static PyTypeObject Int_InfoType; |
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4944 |
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4945 PyDoc_STRVAR(int_info__doc__, |
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4946 "sys.int_info\n\ |
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4947 \n\ |
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4948 A struct sequence that holds information about Python's\n\ |
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4949 internal representation of integers. The attributes are read only."); |
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4950 |
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4951 static PyStructSequence_Field int_info_fields[] = { |
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4952 {"bits_per_digit", "size of a digit in bits"}, |
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4953 {"sizeof_digit", "size in bytes of the C type used to represent a digit"}, |
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4954 {NULL, NULL} |
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4955 }; |
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4956 |
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4957 static PyStructSequence_Desc int_info_desc = { |
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4958 "sys.int_info", /* name */ |
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4959 int_info__doc__, /* doc */ |
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4960 int_info_fields, /* fields */ |
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4961 2 /* number of fields */ |
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4962 }; |
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4963 |
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4964 PyObject * |
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4965 PyLong_GetInfo(void) |
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4966 { |
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4967 PyObject* int_info; |
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4968 int field = 0; |
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4969 int_info = PyStructSequence_New(&Int_InfoType); |
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4970 if (int_info == NULL) |
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4971 return NULL; |
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4972 PyStructSequence_SET_ITEM(int_info, field++, |
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4973 PyLong_FromLong(PyLong_SHIFT)); |
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4974 PyStructSequence_SET_ITEM(int_info, field++, |
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4975 PyLong_FromLong(sizeof(digit))); |
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4976 if (PyErr_Occurred()) { |
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4977 Py_CLEAR(int_info); |
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4978 return NULL; |
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4979 } |
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4980 return int_info; |
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52215
bb5de24a343f
Issue #4258: Make it possible to use 30-bit digits for PyLongs:
Mark Dickinson <dickinsm@gmail.com>
parents:
51855
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4981 } |
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bb5de24a343f
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Mark Dickinson <dickinsm@gmail.com>
parents:
51855
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4982 |
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40626
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4983 int |
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4984 _PyLong_Init(void) |
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4985 { |
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4986 #if NSMALLNEGINTS + NSMALLPOSINTS > 0 |
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61467
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4987 int ival, size; |
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4988 PyLongObject *v = small_ints; |
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4989 |
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4990 for (ival = -NSMALLNEGINTS; ival < NSMALLPOSINTS; ival++, v++) { |
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4991 size = (ival < 0) ? -1 : ((ival == 0) ? 0 : 1); |
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4992 if (Py_TYPE(v) == &PyLong_Type) { |
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4993 /* The element is already initialized, most likely |
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4994 * the Python interpreter was initialized before. |
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4995 */ |
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4996 Py_ssize_t refcnt; |
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4997 PyObject* op = (PyObject*)v; |
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4998 |
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4999 refcnt = Py_REFCNT(op) < 0 ? 0 : Py_REFCNT(op); |
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5000 _Py_NewReference(op); |
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5001 /* _Py_NewReference sets the ref count to 1 but |
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5002 * the ref count might be larger. Set the refcnt |
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5003 * to the original refcnt + 1 */ |
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5004 Py_REFCNT(op) = refcnt + 1; |
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5005 assert(Py_SIZE(op) == size); |
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5006 assert(v->ob_digit[0] == abs(ival)); |
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5007 } |
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5008 else { |
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5009 PyObject_INIT(v, &PyLong_Type); |
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5010 } |
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5011 Py_SIZE(v) = size; |
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5012 v->ob_digit[0] = abs(ival); |
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5013 } |
|
40626
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5014 #endif |
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61467
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5015 /* initialize int_info */ |
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5016 if (Int_InfoType.tp_name == 0) |
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5017 PyStructSequence_InitType(&Int_InfoType, &int_info_desc); |
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5018 |
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5019 return 1; |
|
40626
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5020 } |
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5021 |
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5022 void |
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5023 PyLong_Fini(void) |
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5024 { |
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61467
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5025 /* Integers are currently statically allocated. Py_DECREF is not |
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5026 needed, but Python must forget about the reference or multiple |
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5027 reinitializations will fail. */ |
|
40626
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5028 #if NSMALLNEGINTS + NSMALLPOSINTS > 0 |
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5029 int i; |
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5030 PyLongObject *v = small_ints; |
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5031 for (i = 0; i < NSMALLNEGINTS + NSMALLPOSINTS; i++, v++) { |
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5032 _Py_DEC_REFTOTAL; |
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5033 _Py_ForgetReference((PyObject*)v); |
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5034 } |
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5035 #endif |
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5036 } |