Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1 | |
| 2 | /* Long (arbitrary precision) integer object implementation */ |
| 3 | |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 4 | /* XXX The functional organization of this file is terrible */ |
| 5 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 6 | #include "Python.h" |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 7 | #include "longintrepr.h" |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 8 | |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 9 | #include <ctype.h> |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 10 | |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 11 | /* For long multiplication, use the O(N**2) school algorithm unless |
| 12 | * both operands contain more than KARATSUBA_CUTOFF digits (this |
| 13 | * being an internal Python long digit, in base BASE). |
| 14 | */ |
| 15 | #define KARATSUBA_CUTOFF 35 |
| 16 | |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 17 | #define ABS(x) ((x) < 0 ? -(x) : (x)) |
| 18 | |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 19 | #undef MIN |
| 20 | #undef MAX |
| 21 | #define MAX(x, y) ((x) < (y) ? (y) : (x)) |
| 22 | #define MIN(x, y) ((x) > (y) ? (y) : (x)) |
| 23 | |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 24 | /* Forward */ |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 25 | static PyLongObject *long_normalize(PyLongObject *); |
| 26 | static PyLongObject *mul1(PyLongObject *, wdigit); |
| 27 | static PyLongObject *muladd1(PyLongObject *, wdigit, wdigit); |
Tim Peters | 212e614 | 2001-07-14 12:23:19 +0000 | [diff] [blame] | 28 | static PyLongObject *divrem1(PyLongObject *, digit, digit *); |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 29 | static PyObject *long_format(PyObject *aa, int base, int addL); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 30 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 31 | #define SIGCHECK(PyTryBlock) \ |
Skip Montanaro | d581d77 | 2002-09-03 20:10:45 +0000 | [diff] [blame] | 32 | if (--_Py_Ticker < 0) { \ |
| 33 | _Py_Ticker = _Py_CheckInterval; \ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 34 | if (PyErr_CheckSignals()) { PyTryBlock; } \ |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 35 | } |
| 36 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 37 | /* Normalize (remove leading zeros from) a long int object. |
| 38 | Doesn't attempt to free the storage--in most cases, due to the nature |
| 39 | of the algorithms used, this could save at most be one word anyway. */ |
| 40 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 41 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 42 | long_normalize(register PyLongObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 43 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 44 | int j = ABS(v->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 45 | register int i = j; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 46 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 47 | while (i > 0 && v->ob_digit[i-1] == 0) |
| 48 | --i; |
| 49 | if (i != j) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 50 | v->ob_size = (v->ob_size < 0) ? -(i) : i; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 51 | return v; |
| 52 | } |
| 53 | |
| 54 | /* Allocate a new long int object with size digits. |
| 55 | Return NULL and set exception if we run out of memory. */ |
| 56 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 57 | PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 58 | _PyLong_New(int size) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 59 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 60 | return PyObject_NEW_VAR(PyLongObject, &PyLong_Type, size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 61 | } |
| 62 | |
Tim Peters | 64b5ce3 | 2001-09-10 20:52:51 +0000 | [diff] [blame] | 63 | PyObject * |
| 64 | _PyLong_Copy(PyLongObject *src) |
| 65 | { |
| 66 | PyLongObject *result; |
| 67 | int i; |
| 68 | |
| 69 | assert(src != NULL); |
| 70 | i = src->ob_size; |
| 71 | if (i < 0) |
| 72 | i = -(i); |
| 73 | result = _PyLong_New(i); |
| 74 | if (result != NULL) { |
Tim Peters | 5329cdb | 2002-03-02 04:18:04 +0000 | [diff] [blame] | 75 | result->ob_size = src->ob_size; |
Tim Peters | 64b5ce3 | 2001-09-10 20:52:51 +0000 | [diff] [blame] | 76 | while (--i >= 0) |
| 77 | result->ob_digit[i] = src->ob_digit[i]; |
| 78 | } |
| 79 | return (PyObject *)result; |
| 80 | } |
| 81 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 82 | /* Create a new long int object from a C long int */ |
| 83 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 84 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 85 | PyLong_FromLong(long ival) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 86 | { |
Tim Peters | ce9de2f | 2001-06-14 04:56:19 +0000 | [diff] [blame] | 87 | PyLongObject *v; |
| 88 | unsigned long t; /* unsigned so >> doesn't propagate sign bit */ |
| 89 | int ndigits = 0; |
| 90 | int negative = 0; |
| 91 | |
| 92 | if (ival < 0) { |
| 93 | ival = -ival; |
| 94 | negative = 1; |
| 95 | } |
| 96 | |
| 97 | /* Count the number of Python digits. |
| 98 | We used to pick 5 ("big enough for anything"), but that's a |
| 99 | waste of time and space given that 5*15 = 75 bits are rarely |
| 100 | needed. */ |
| 101 | t = (unsigned long)ival; |
| 102 | while (t) { |
| 103 | ++ndigits; |
| 104 | t >>= SHIFT; |
| 105 | } |
| 106 | v = _PyLong_New(ndigits); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 107 | if (v != NULL) { |
Tim Peters | ce9de2f | 2001-06-14 04:56:19 +0000 | [diff] [blame] | 108 | digit *p = v->ob_digit; |
| 109 | v->ob_size = negative ? -ndigits : ndigits; |
| 110 | t = (unsigned long)ival; |
| 111 | while (t) { |
| 112 | *p++ = (digit)(t & MASK); |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 113 | t >>= SHIFT; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 114 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 115 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 116 | return (PyObject *)v; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 117 | } |
| 118 | |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 119 | /* Create a new long int object from a C unsigned long int */ |
| 120 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 121 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 122 | PyLong_FromUnsignedLong(unsigned long ival) |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 123 | { |
Tim Peters | ce9de2f | 2001-06-14 04:56:19 +0000 | [diff] [blame] | 124 | PyLongObject *v; |
| 125 | unsigned long t; |
| 126 | int ndigits = 0; |
| 127 | |
| 128 | /* Count the number of Python digits. */ |
| 129 | t = (unsigned long)ival; |
| 130 | while (t) { |
| 131 | ++ndigits; |
| 132 | t >>= SHIFT; |
| 133 | } |
| 134 | v = _PyLong_New(ndigits); |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 135 | if (v != NULL) { |
Tim Peters | ce9de2f | 2001-06-14 04:56:19 +0000 | [diff] [blame] | 136 | digit *p = v->ob_digit; |
| 137 | v->ob_size = ndigits; |
| 138 | while (ival) { |
| 139 | *p++ = (digit)(ival & MASK); |
| 140 | ival >>= SHIFT; |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 141 | } |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 142 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 143 | return (PyObject *)v; |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 144 | } |
| 145 | |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 146 | /* Create a new long int object from a C double */ |
| 147 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 148 | PyObject * |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 149 | PyLong_FromDouble(double dval) |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 150 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 151 | PyLongObject *v; |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 152 | double frac; |
| 153 | int i, ndig, expo, neg; |
| 154 | neg = 0; |
Tim Peters | 39dce29 | 2000-08-15 03:34:48 +0000 | [diff] [blame] | 155 | if (Py_IS_INFINITY(dval)) { |
Guido van Rossum | 1a23c24 | 1999-09-27 17:11:52 +0000 | [diff] [blame] | 156 | PyErr_SetString(PyExc_OverflowError, |
| 157 | "cannot convert float infinity to long"); |
| 158 | return NULL; |
| 159 | } |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 160 | if (dval < 0.0) { |
| 161 | neg = 1; |
| 162 | dval = -dval; |
| 163 | } |
| 164 | frac = frexp(dval, &expo); /* dval = frac*2**expo; 0.0 <= frac < 1.0 */ |
| 165 | if (expo <= 0) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 166 | return PyLong_FromLong(0L); |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 167 | ndig = (expo-1) / SHIFT + 1; /* Number of 'digits' in result */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 168 | v = _PyLong_New(ndig); |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 169 | if (v == NULL) |
| 170 | return NULL; |
| 171 | frac = ldexp(frac, (expo-1) % SHIFT + 1); |
| 172 | for (i = ndig; --i >= 0; ) { |
| 173 | long bits = (long)frac; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 174 | v->ob_digit[i] = (digit) bits; |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 175 | frac = frac - (double)bits; |
| 176 | frac = ldexp(frac, SHIFT); |
| 177 | } |
| 178 | if (neg) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 179 | v->ob_size = -(v->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 180 | return (PyObject *)v; |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 181 | } |
| 182 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 183 | /* Get a C long int from a long int object. |
| 184 | Returns -1 and sets an error condition if overflow occurs. */ |
| 185 | |
| 186 | long |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 187 | PyLong_AsLong(PyObject *vv) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 188 | { |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 189 | /* This version by Tim Peters */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 190 | register PyLongObject *v; |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 191 | unsigned long x, prev; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 192 | int i, sign; |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 193 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 194 | if (vv == NULL || !PyLong_Check(vv)) { |
Guido van Rossum | 7e35d57 | 2001-09-15 03:14:32 +0000 | [diff] [blame] | 195 | if (vv != NULL && PyInt_Check(vv)) |
| 196 | return PyInt_AsLong(vv); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 197 | PyErr_BadInternalCall(); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 198 | return -1; |
| 199 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 200 | v = (PyLongObject *)vv; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 201 | i = v->ob_size; |
| 202 | sign = 1; |
| 203 | x = 0; |
| 204 | if (i < 0) { |
| 205 | sign = -1; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 206 | i = -(i); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 207 | } |
| 208 | while (--i >= 0) { |
| 209 | prev = x; |
| 210 | x = (x << SHIFT) + v->ob_digit[i]; |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 211 | if ((x >> SHIFT) != prev) |
| 212 | goto overflow; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 213 | } |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 214 | /* Haven't lost any bits, but if the sign bit is set we're in |
| 215 | * trouble *unless* this is the min negative number. So, |
| 216 | * trouble iff sign bit set && (positive || some bit set other |
| 217 | * than the sign bit). |
| 218 | */ |
| 219 | if ((long)x < 0 && (sign > 0 || (x << 1) != 0)) |
| 220 | goto overflow; |
| 221 | return (long)x * sign; |
| 222 | |
| 223 | overflow: |
| 224 | PyErr_SetString(PyExc_OverflowError, |
Skip Montanaro | bafedec | 2001-09-13 19:05:30 +0000 | [diff] [blame] | 225 | "long int too large to convert to int"); |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 226 | return -1; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 227 | } |
| 228 | |
Guido van Rossum | d8c8048 | 2002-08-13 00:24:58 +0000 | [diff] [blame] | 229 | /* Get a C unsigned long int from a long int object. |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 230 | Returns -1 and sets an error condition if overflow occurs. */ |
| 231 | |
| 232 | unsigned long |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 233 | PyLong_AsUnsignedLong(PyObject *vv) |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 234 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 235 | register PyLongObject *v; |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 236 | unsigned long x, prev; |
| 237 | int i; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 238 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 239 | if (vv == NULL || !PyLong_Check(vv)) { |
| 240 | PyErr_BadInternalCall(); |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 241 | return (unsigned long) -1; |
| 242 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 243 | v = (PyLongObject *)vv; |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 244 | i = v->ob_size; |
| 245 | x = 0; |
| 246 | if (i < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 247 | PyErr_SetString(PyExc_OverflowError, |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 248 | "can't convert negative value to unsigned long"); |
| 249 | return (unsigned long) -1; |
| 250 | } |
| 251 | while (--i >= 0) { |
| 252 | prev = x; |
| 253 | x = (x << SHIFT) + v->ob_digit[i]; |
| 254 | if ((x >> SHIFT) != prev) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 255 | PyErr_SetString(PyExc_OverflowError, |
Fred Drake | 661ea26 | 2000-10-24 19:57:45 +0000 | [diff] [blame] | 256 | "long int too large to convert"); |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 257 | return (unsigned long) -1; |
| 258 | } |
| 259 | } |
| 260 | return x; |
| 261 | } |
| 262 | |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 263 | PyObject * |
| 264 | _PyLong_FromByteArray(const unsigned char* bytes, size_t n, |
| 265 | int little_endian, int is_signed) |
| 266 | { |
| 267 | const unsigned char* pstartbyte;/* LSB of bytes */ |
| 268 | int incr; /* direction to move pstartbyte */ |
| 269 | const unsigned char* pendbyte; /* MSB of bytes */ |
| 270 | size_t numsignificantbytes; /* number of bytes that matter */ |
| 271 | size_t ndigits; /* number of Python long digits */ |
| 272 | PyLongObject* v; /* result */ |
| 273 | int idigit = 0; /* next free index in v->ob_digit */ |
| 274 | |
| 275 | if (n == 0) |
| 276 | return PyLong_FromLong(0L); |
| 277 | |
| 278 | if (little_endian) { |
| 279 | pstartbyte = bytes; |
| 280 | pendbyte = bytes + n - 1; |
| 281 | incr = 1; |
| 282 | } |
| 283 | else { |
| 284 | pstartbyte = bytes + n - 1; |
| 285 | pendbyte = bytes; |
| 286 | incr = -1; |
| 287 | } |
| 288 | |
| 289 | if (is_signed) |
| 290 | is_signed = *pendbyte >= 0x80; |
| 291 | |
| 292 | /* Compute numsignificantbytes. This consists of finding the most |
| 293 | significant byte. Leading 0 bytes are insignficant if the number |
| 294 | is positive, and leading 0xff bytes if negative. */ |
| 295 | { |
| 296 | size_t i; |
| 297 | const unsigned char* p = pendbyte; |
| 298 | const int pincr = -incr; /* search MSB to LSB */ |
| 299 | const unsigned char insignficant = is_signed ? 0xff : 0x00; |
| 300 | |
| 301 | for (i = 0; i < n; ++i, p += pincr) { |
| 302 | if (*p != insignficant) |
| 303 | break; |
| 304 | } |
| 305 | numsignificantbytes = n - i; |
| 306 | /* 2's-comp is a bit tricky here, e.g. 0xff00 == -0x0100, so |
| 307 | actually has 2 significant bytes. OTOH, 0xff0001 == |
| 308 | -0x00ffff, so we wouldn't *need* to bump it there; but we |
| 309 | do for 0xffff = -0x0001. To be safe without bothering to |
| 310 | check every case, bump it regardless. */ |
| 311 | if (is_signed && numsignificantbytes < n) |
| 312 | ++numsignificantbytes; |
| 313 | } |
| 314 | |
| 315 | /* How many Python long digits do we need? We have |
| 316 | 8*numsignificantbytes bits, and each Python long digit has SHIFT |
| 317 | bits, so it's the ceiling of the quotient. */ |
| 318 | ndigits = (numsignificantbytes * 8 + SHIFT - 1) / SHIFT; |
| 319 | if (ndigits > (size_t)INT_MAX) |
| 320 | return PyErr_NoMemory(); |
| 321 | v = _PyLong_New((int)ndigits); |
| 322 | if (v == NULL) |
| 323 | return NULL; |
| 324 | |
| 325 | /* Copy the bits over. The tricky parts are computing 2's-comp on |
| 326 | the fly for signed numbers, and dealing with the mismatch between |
| 327 | 8-bit bytes and (probably) 15-bit Python digits.*/ |
| 328 | { |
| 329 | size_t i; |
Tim Peters | f251d06 | 2001-06-13 21:09:15 +0000 | [diff] [blame] | 330 | twodigits carry = 1; /* for 2's-comp calculation */ |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 331 | twodigits accum = 0; /* sliding register */ |
| 332 | unsigned int accumbits = 0; /* number of bits in accum */ |
| 333 | const unsigned char* p = pstartbyte; |
| 334 | |
| 335 | for (i = 0; i < numsignificantbytes; ++i, p += incr) { |
Tim Peters | 8bc84b4 | 2001-06-12 19:17:03 +0000 | [diff] [blame] | 336 | twodigits thisbyte = *p; |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 337 | /* Compute correction for 2's comp, if needed. */ |
| 338 | if (is_signed) { |
| 339 | thisbyte = (0xff ^ thisbyte) + carry; |
| 340 | carry = thisbyte >> 8; |
| 341 | thisbyte &= 0xff; |
| 342 | } |
| 343 | /* Because we're going LSB to MSB, thisbyte is |
| 344 | more significant than what's already in accum, |
| 345 | so needs to be prepended to accum. */ |
| 346 | accum |= thisbyte << accumbits; |
| 347 | accumbits += 8; |
| 348 | if (accumbits >= SHIFT) { |
| 349 | /* There's enough to fill a Python digit. */ |
| 350 | assert(idigit < (int)ndigits); |
| 351 | v->ob_digit[idigit] = (digit)(accum & MASK); |
| 352 | ++idigit; |
| 353 | accum >>= SHIFT; |
| 354 | accumbits -= SHIFT; |
| 355 | assert(accumbits < SHIFT); |
| 356 | } |
| 357 | } |
| 358 | assert(accumbits < SHIFT); |
| 359 | if (accumbits) { |
| 360 | assert(idigit < (int)ndigits); |
| 361 | v->ob_digit[idigit] = (digit)accum; |
| 362 | ++idigit; |
| 363 | } |
| 364 | } |
| 365 | |
| 366 | v->ob_size = is_signed ? -idigit : idigit; |
| 367 | return (PyObject *)long_normalize(v); |
| 368 | } |
| 369 | |
| 370 | int |
| 371 | _PyLong_AsByteArray(PyLongObject* v, |
| 372 | unsigned char* bytes, size_t n, |
| 373 | int little_endian, int is_signed) |
| 374 | { |
| 375 | int i; /* index into v->ob_digit */ |
| 376 | int ndigits; /* |v->ob_size| */ |
| 377 | twodigits accum; /* sliding register */ |
| 378 | unsigned int accumbits; /* # bits in accum */ |
| 379 | int do_twos_comp; /* store 2's-comp? is_signed and v < 0 */ |
| 380 | twodigits carry; /* for computing 2's-comp */ |
| 381 | size_t j; /* # bytes filled */ |
| 382 | unsigned char* p; /* pointer to next byte in bytes */ |
| 383 | int pincr; /* direction to move p */ |
| 384 | |
| 385 | assert(v != NULL && PyLong_Check(v)); |
| 386 | |
| 387 | if (v->ob_size < 0) { |
| 388 | ndigits = -(v->ob_size); |
| 389 | if (!is_signed) { |
| 390 | PyErr_SetString(PyExc_TypeError, |
| 391 | "can't convert negative long to unsigned"); |
| 392 | return -1; |
| 393 | } |
| 394 | do_twos_comp = 1; |
| 395 | } |
| 396 | else { |
| 397 | ndigits = v->ob_size; |
| 398 | do_twos_comp = 0; |
| 399 | } |
| 400 | |
| 401 | if (little_endian) { |
| 402 | p = bytes; |
| 403 | pincr = 1; |
| 404 | } |
| 405 | else { |
| 406 | p = bytes + n - 1; |
| 407 | pincr = -1; |
| 408 | } |
| 409 | |
Tim Peters | 898cf85 | 2001-06-13 20:50:08 +0000 | [diff] [blame] | 410 | /* Copy over all the Python digits. |
| 411 | It's crucial that every Python digit except for the MSD contribute |
| 412 | exactly SHIFT bits to the total, so first assert that the long is |
| 413 | normalized. */ |
| 414 | assert(ndigits == 0 || v->ob_digit[ndigits - 1] != 0); |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 415 | j = 0; |
| 416 | accum = 0; |
| 417 | accumbits = 0; |
| 418 | carry = do_twos_comp ? 1 : 0; |
| 419 | for (i = 0; i < ndigits; ++i) { |
| 420 | twodigits thisdigit = v->ob_digit[i]; |
| 421 | if (do_twos_comp) { |
| 422 | thisdigit = (thisdigit ^ MASK) + carry; |
| 423 | carry = thisdigit >> SHIFT; |
| 424 | thisdigit &= MASK; |
| 425 | } |
Tim Peters | 8bc84b4 | 2001-06-12 19:17:03 +0000 | [diff] [blame] | 426 | /* Because we're going LSB to MSB, thisdigit is more |
| 427 | significant than what's already in accum, so needs to be |
| 428 | prepended to accum. */ |
| 429 | accum |= thisdigit << accumbits; |
Tim Peters | ede0509 | 2001-06-14 08:53:38 +0000 | [diff] [blame] | 430 | accumbits += SHIFT; |
Tim Peters | 8bc84b4 | 2001-06-12 19:17:03 +0000 | [diff] [blame] | 431 | |
Tim Peters | ede0509 | 2001-06-14 08:53:38 +0000 | [diff] [blame] | 432 | /* The most-significant digit may be (probably is) at least |
| 433 | partly empty. */ |
Tim Peters | 8bc84b4 | 2001-06-12 19:17:03 +0000 | [diff] [blame] | 434 | if (i == ndigits - 1) { |
Tim Peters | ede0509 | 2001-06-14 08:53:38 +0000 | [diff] [blame] | 435 | /* Count # of sign bits -- they needn't be stored, |
| 436 | * although for signed conversion we need later to |
| 437 | * make sure at least one sign bit gets stored. |
| 438 | * First shift conceptual sign bit to real sign bit. |
| 439 | */ |
| 440 | stwodigits s = (stwodigits)(thisdigit << |
| 441 | (8*sizeof(stwodigits) - SHIFT)); |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 442 | unsigned int nsignbits = 0; |
Tim Peters | ede0509 | 2001-06-14 08:53:38 +0000 | [diff] [blame] | 443 | while ((s < 0) == do_twos_comp && nsignbits < SHIFT) { |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 444 | ++nsignbits; |
Tim Peters | ede0509 | 2001-06-14 08:53:38 +0000 | [diff] [blame] | 445 | s <<= 1; |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 446 | } |
Tim Peters | ede0509 | 2001-06-14 08:53:38 +0000 | [diff] [blame] | 447 | accumbits -= nsignbits; |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 448 | } |
Tim Peters | 8bc84b4 | 2001-06-12 19:17:03 +0000 | [diff] [blame] | 449 | |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 450 | /* Store as many bytes as possible. */ |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 451 | while (accumbits >= 8) { |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 452 | if (j >= n) |
| 453 | goto Overflow; |
| 454 | ++j; |
| 455 | *p = (unsigned char)(accum & 0xff); |
| 456 | p += pincr; |
| 457 | accumbits -= 8; |
| 458 | accum >>= 8; |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 459 | } |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 460 | } |
| 461 | |
| 462 | /* Store the straggler (if any). */ |
| 463 | assert(accumbits < 8); |
| 464 | assert(carry == 0); /* else do_twos_comp and *every* digit was 0 */ |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 465 | if (accumbits > 0) { |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 466 | if (j >= n) |
| 467 | goto Overflow; |
| 468 | ++j; |
| 469 | if (do_twos_comp) { |
| 470 | /* Fill leading bits of the byte with sign bits |
| 471 | (appropriately pretending that the long had an |
| 472 | infinite supply of sign bits). */ |
| 473 | accum |= (~(twodigits)0) << accumbits; |
| 474 | } |
| 475 | *p = (unsigned char)(accum & 0xff); |
| 476 | p += pincr; |
| 477 | } |
Tim Peters | 05607ad | 2001-06-13 21:01:27 +0000 | [diff] [blame] | 478 | else if (j == n && n > 0 && is_signed) { |
| 479 | /* The main loop filled the byte array exactly, so the code |
| 480 | just above didn't get to ensure there's a sign bit, and the |
| 481 | loop below wouldn't add one either. Make sure a sign bit |
| 482 | exists. */ |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 483 | unsigned char msb = *(p - pincr); |
Tim Peters | 05607ad | 2001-06-13 21:01:27 +0000 | [diff] [blame] | 484 | int sign_bit_set = msb >= 0x80; |
| 485 | assert(accumbits == 0); |
| 486 | if (sign_bit_set == do_twos_comp) |
| 487 | return 0; |
| 488 | else |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 489 | goto Overflow; |
| 490 | } |
Tim Peters | 05607ad | 2001-06-13 21:01:27 +0000 | [diff] [blame] | 491 | |
| 492 | /* Fill remaining bytes with copies of the sign bit. */ |
| 493 | { |
| 494 | unsigned char signbyte = do_twos_comp ? 0xffU : 0U; |
| 495 | for ( ; j < n; ++j, p += pincr) |
| 496 | *p = signbyte; |
| 497 | } |
| 498 | |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 499 | return 0; |
| 500 | |
| 501 | Overflow: |
| 502 | PyErr_SetString(PyExc_OverflowError, "long too big to convert"); |
| 503 | return -1; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 504 | |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 505 | } |
| 506 | |
Tim Peters | a1c1b0f | 2001-09-04 02:50:49 +0000 | [diff] [blame] | 507 | double |
| 508 | _PyLong_AsScaledDouble(PyObject *vv, int *exponent) |
| 509 | { |
| 510 | /* NBITS_WANTED should be > the number of bits in a double's precision, |
| 511 | but small enough so that 2**NBITS_WANTED is within the normal double |
| 512 | range. nbitsneeded is set to 1 less than that because the most-significant |
| 513 | Python digit contains at least 1 significant bit, but we don't want to |
| 514 | bother counting them (catering to the worst case cheaply). |
| 515 | |
| 516 | 57 is one more than VAX-D double precision; I (Tim) don't know of a double |
| 517 | format with more precision than that; it's 1 larger so that we add in at |
| 518 | least one round bit to stand in for the ignored least-significant bits. |
| 519 | */ |
| 520 | #define NBITS_WANTED 57 |
| 521 | PyLongObject *v; |
| 522 | double x; |
| 523 | const double multiplier = (double)(1L << SHIFT); |
| 524 | int i, sign; |
| 525 | int nbitsneeded; |
| 526 | |
| 527 | if (vv == NULL || !PyLong_Check(vv)) { |
| 528 | PyErr_BadInternalCall(); |
| 529 | return -1; |
| 530 | } |
| 531 | v = (PyLongObject *)vv; |
| 532 | i = v->ob_size; |
| 533 | sign = 1; |
| 534 | if (i < 0) { |
| 535 | sign = -1; |
| 536 | i = -(i); |
| 537 | } |
| 538 | else if (i == 0) { |
| 539 | *exponent = 0; |
| 540 | return 0.0; |
| 541 | } |
| 542 | --i; |
| 543 | x = (double)v->ob_digit[i]; |
| 544 | nbitsneeded = NBITS_WANTED - 1; |
| 545 | /* Invariant: i Python digits remain unaccounted for. */ |
| 546 | while (i > 0 && nbitsneeded > 0) { |
| 547 | --i; |
| 548 | x = x * multiplier + (double)v->ob_digit[i]; |
| 549 | nbitsneeded -= SHIFT; |
| 550 | } |
| 551 | /* There are i digits we didn't shift in. Pretending they're all |
| 552 | zeroes, the true value is x * 2**(i*SHIFT). */ |
| 553 | *exponent = i; |
| 554 | assert(x > 0.0); |
| 555 | return x * sign; |
| 556 | #undef NBITS_WANTED |
| 557 | } |
| 558 | |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 559 | /* Get a C double from a long int object. */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 560 | |
| 561 | double |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 562 | PyLong_AsDouble(PyObject *vv) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 563 | { |
Tim Peters | 9fffa3e | 2001-09-04 05:14:19 +0000 | [diff] [blame] | 564 | int e; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 565 | double x; |
Tim Peters | 9fffa3e | 2001-09-04 05:14:19 +0000 | [diff] [blame] | 566 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 567 | if (vv == NULL || !PyLong_Check(vv)) { |
| 568 | PyErr_BadInternalCall(); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 569 | return -1; |
| 570 | } |
Tim Peters | 9fffa3e | 2001-09-04 05:14:19 +0000 | [diff] [blame] | 571 | x = _PyLong_AsScaledDouble(vv, &e); |
| 572 | if (x == -1.0 && PyErr_Occurred()) |
| 573 | return -1.0; |
| 574 | if (e > INT_MAX / SHIFT) |
| 575 | goto overflow; |
| 576 | errno = 0; |
| 577 | x = ldexp(x, e * SHIFT); |
Tim Peters | 57f282a | 2001-09-05 05:38:10 +0000 | [diff] [blame] | 578 | if (Py_OVERFLOWED(x)) |
Tim Peters | 9fffa3e | 2001-09-04 05:14:19 +0000 | [diff] [blame] | 579 | goto overflow; |
| 580 | return x; |
| 581 | |
| 582 | overflow: |
| 583 | PyErr_SetString(PyExc_OverflowError, |
| 584 | "long int too large to convert to float"); |
| 585 | return -1.0; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 586 | } |
| 587 | |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 588 | /* Create a new long (or int) object from a C pointer */ |
| 589 | |
| 590 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 591 | PyLong_FromVoidPtr(void *p) |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 592 | { |
Tim Peters | 70128a1 | 2001-06-16 08:48:40 +0000 | [diff] [blame] | 593 | #if SIZEOF_VOID_P <= SIZEOF_LONG |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 594 | return PyInt_FromLong((long)p); |
| 595 | #else |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 596 | |
Tim Peters | 70128a1 | 2001-06-16 08:48:40 +0000 | [diff] [blame] | 597 | #ifndef HAVE_LONG_LONG |
| 598 | # error "PyLong_FromVoidPtr: sizeof(void*) > sizeof(long), but no long long" |
| 599 | #endif |
| 600 | #if SIZEOF_LONG_LONG < SIZEOF_VOID_P |
| 601 | # error "PyLong_FromVoidPtr: sizeof(LONG_LONG) < sizeof(void*)" |
| 602 | #endif |
| 603 | /* optimize null pointers */ |
| 604 | if (p == NULL) |
| 605 | return PyInt_FromLong(0); |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 606 | return PyLong_FromLongLong((LONG_LONG)p); |
Tim Peters | 70128a1 | 2001-06-16 08:48:40 +0000 | [diff] [blame] | 607 | |
| 608 | #endif /* SIZEOF_VOID_P <= SIZEOF_LONG */ |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 609 | } |
| 610 | |
| 611 | /* Get a C pointer from a long object (or an int object in some cases) */ |
| 612 | |
| 613 | void * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 614 | PyLong_AsVoidPtr(PyObject *vv) |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 615 | { |
| 616 | /* This function will allow int or long objects. If vv is neither, |
| 617 | then the PyLong_AsLong*() functions will raise the exception: |
| 618 | PyExc_SystemError, "bad argument to internal function" |
| 619 | */ |
Tim Peters | 70128a1 | 2001-06-16 08:48:40 +0000 | [diff] [blame] | 620 | #if SIZEOF_VOID_P <= SIZEOF_LONG |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 621 | long x; |
| 622 | |
Tim Peters | 70128a1 | 2001-06-16 08:48:40 +0000 | [diff] [blame] | 623 | if (PyInt_Check(vv)) |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 624 | x = PyInt_AS_LONG(vv); |
| 625 | else |
| 626 | x = PyLong_AsLong(vv); |
| 627 | #else |
Tim Peters | 70128a1 | 2001-06-16 08:48:40 +0000 | [diff] [blame] | 628 | |
| 629 | #ifndef HAVE_LONG_LONG |
| 630 | # error "PyLong_AsVoidPtr: sizeof(void*) > sizeof(long), but no long long" |
| 631 | #endif |
| 632 | #if SIZEOF_LONG_LONG < SIZEOF_VOID_P |
| 633 | # error "PyLong_AsVoidPtr: sizeof(LONG_LONG) < sizeof(void*)" |
| 634 | #endif |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 635 | LONG_LONG x; |
| 636 | |
Tim Peters | 70128a1 | 2001-06-16 08:48:40 +0000 | [diff] [blame] | 637 | if (PyInt_Check(vv)) |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 638 | x = PyInt_AS_LONG(vv); |
| 639 | else |
| 640 | x = PyLong_AsLongLong(vv); |
Tim Peters | 70128a1 | 2001-06-16 08:48:40 +0000 | [diff] [blame] | 641 | |
| 642 | #endif /* SIZEOF_VOID_P <= SIZEOF_LONG */ |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 643 | |
| 644 | if (x == -1 && PyErr_Occurred()) |
| 645 | return NULL; |
| 646 | return (void *)x; |
| 647 | } |
| 648 | |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 649 | #ifdef HAVE_LONG_LONG |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 650 | |
| 651 | /* Initial LONG_LONG support by Chris Herborth (chrish@qnx.com), later |
| 652 | * rewritten to use the newer PyLong_{As,From}ByteArray API. |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 653 | */ |
| 654 | |
Tim Peters | cf37dfc | 2001-06-14 18:42:50 +0000 | [diff] [blame] | 655 | #define IS_LITTLE_ENDIAN (int)*(unsigned char*)&one |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 656 | |
| 657 | /* Create a new long int object from a C LONG_LONG int. */ |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 658 | |
| 659 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 660 | PyLong_FromLongLong(LONG_LONG ival) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 661 | { |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 662 | LONG_LONG bytes = ival; |
| 663 | int one = 1; |
| 664 | return _PyLong_FromByteArray( |
| 665 | (unsigned char *)&bytes, |
| 666 | SIZEOF_LONG_LONG, IS_LITTLE_ENDIAN, 1); |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 667 | } |
| 668 | |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 669 | /* Create a new long int object from a C unsigned LONG_LONG int. */ |
| 670 | |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 671 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 672 | PyLong_FromUnsignedLongLong(unsigned LONG_LONG ival) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 673 | { |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 674 | unsigned LONG_LONG bytes = ival; |
| 675 | int one = 1; |
| 676 | return _PyLong_FromByteArray( |
| 677 | (unsigned char *)&bytes, |
| 678 | SIZEOF_LONG_LONG, IS_LITTLE_ENDIAN, 0); |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 679 | } |
| 680 | |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 681 | /* Get a C LONG_LONG int from a long int object. |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 682 | Return -1 and set an error if overflow occurs. */ |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 683 | |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 684 | LONG_LONG |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 685 | PyLong_AsLongLong(PyObject *vv) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 686 | { |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 687 | LONG_LONG bytes; |
| 688 | int one = 1; |
| 689 | int res; |
| 690 | |
Tim Peters | d38b1c7 | 2001-09-30 05:09:37 +0000 | [diff] [blame] | 691 | if (vv == NULL) { |
| 692 | PyErr_BadInternalCall(); |
| 693 | return -1; |
| 694 | } |
| 695 | if (!PyLong_Check(vv)) { |
| 696 | if (PyInt_Check(vv)) |
| 697 | return (LONG_LONG)PyInt_AsLong(vv); |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 698 | PyErr_BadInternalCall(); |
| 699 | return -1; |
| 700 | } |
| 701 | |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 702 | res = _PyLong_AsByteArray( |
| 703 | (PyLongObject *)vv, (unsigned char *)&bytes, |
| 704 | SIZEOF_LONG_LONG, IS_LITTLE_ENDIAN, 1); |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 705 | |
Martin v. Löwis | c8bb9eb | 2002-03-09 12:02:59 +0000 | [diff] [blame] | 706 | /* Plan 9 can't handle LONG_LONG in ? : expressions */ |
| 707 | if (res < 0) |
Jeremy Hylton | c4ad0bc | 2002-04-23 20:01:20 +0000 | [diff] [blame] | 708 | return (LONG_LONG)-1; |
Martin v. Löwis | c8bb9eb | 2002-03-09 12:02:59 +0000 | [diff] [blame] | 709 | else |
| 710 | return bytes; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 711 | } |
| 712 | |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 713 | /* Get a C unsigned LONG_LONG int from a long int object. |
| 714 | Return -1 and set an error if overflow occurs. */ |
| 715 | |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 716 | unsigned LONG_LONG |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 717 | PyLong_AsUnsignedLongLong(PyObject *vv) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 718 | { |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 719 | unsigned LONG_LONG bytes; |
| 720 | int one = 1; |
| 721 | int res; |
| 722 | |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 723 | if (vv == NULL || !PyLong_Check(vv)) { |
| 724 | PyErr_BadInternalCall(); |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 725 | return -1; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 726 | } |
| 727 | |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 728 | res = _PyLong_AsByteArray( |
| 729 | (PyLongObject *)vv, (unsigned char *)&bytes, |
| 730 | SIZEOF_LONG_LONG, IS_LITTLE_ENDIAN, 0); |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 731 | |
Martin v. Löwis | c8bb9eb | 2002-03-09 12:02:59 +0000 | [diff] [blame] | 732 | /* Plan 9 can't handle LONG_LONG in ? : expressions */ |
| 733 | if (res < 0) |
| 734 | return (unsigned LONG_LONG)res; |
| 735 | else |
| 736 | return bytes; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 737 | } |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 738 | |
| 739 | #undef IS_LITTLE_ENDIAN |
| 740 | |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 741 | #endif /* HAVE_LONG_LONG */ |
| 742 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 743 | |
| 744 | static int |
| 745 | convert_binop(PyObject *v, PyObject *w, PyLongObject **a, PyLongObject **b) { |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 746 | if (PyLong_Check(v)) { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 747 | *a = (PyLongObject *) v; |
| 748 | Py_INCREF(v); |
| 749 | } |
| 750 | else if (PyInt_Check(v)) { |
| 751 | *a = (PyLongObject *) PyLong_FromLong(PyInt_AS_LONG(v)); |
| 752 | } |
| 753 | else { |
| 754 | return 0; |
| 755 | } |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 756 | if (PyLong_Check(w)) { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 757 | *b = (PyLongObject *) w; |
| 758 | Py_INCREF(w); |
| 759 | } |
| 760 | else if (PyInt_Check(w)) { |
| 761 | *b = (PyLongObject *) PyLong_FromLong(PyInt_AS_LONG(w)); |
| 762 | } |
| 763 | else { |
| 764 | Py_DECREF(*a); |
| 765 | return 0; |
| 766 | } |
| 767 | return 1; |
| 768 | } |
| 769 | |
| 770 | #define CONVERT_BINOP(v, w, a, b) \ |
| 771 | if (!convert_binop(v, w, a, b)) { \ |
| 772 | Py_INCREF(Py_NotImplemented); \ |
| 773 | return Py_NotImplemented; \ |
| 774 | } |
| 775 | |
Tim Peters | 877a212 | 2002-08-12 05:09:36 +0000 | [diff] [blame] | 776 | /* x[0:m] and y[0:n] are digit vectors, LSD first, m >= n required. x[0:n] |
| 777 | * is modified in place, by adding y to it. Carries are propagated as far as |
| 778 | * x[m-1], and the remaining carry (0 or 1) is returned. |
| 779 | */ |
| 780 | static digit |
| 781 | v_iadd(digit *x, int m, digit *y, int n) |
| 782 | { |
| 783 | int i; |
| 784 | digit carry = 0; |
| 785 | |
| 786 | assert(m >= n); |
| 787 | for (i = 0; i < n; ++i) { |
| 788 | carry += x[i] + y[i]; |
| 789 | x[i] = carry & MASK; |
| 790 | carry >>= SHIFT; |
| 791 | assert((carry & 1) == carry); |
| 792 | } |
| 793 | for (; carry && i < m; ++i) { |
| 794 | carry += x[i]; |
| 795 | x[i] = carry & MASK; |
| 796 | carry >>= SHIFT; |
| 797 | assert((carry & 1) == carry); |
| 798 | } |
| 799 | return carry; |
| 800 | } |
| 801 | |
| 802 | /* x[0:m] and y[0:n] are digit vectors, LSD first, m >= n required. x[0:n] |
| 803 | * is modified in place, by subtracting y from it. Borrows are propagated as |
| 804 | * far as x[m-1], and the remaining borrow (0 or 1) is returned. |
| 805 | */ |
| 806 | static digit |
| 807 | v_isub(digit *x, int m, digit *y, int n) |
| 808 | { |
| 809 | int i; |
| 810 | digit borrow = 0; |
| 811 | |
| 812 | assert(m >= n); |
| 813 | for (i = 0; i < n; ++i) { |
| 814 | borrow = x[i] - y[i] - borrow; |
| 815 | x[i] = borrow & MASK; |
| 816 | borrow >>= SHIFT; |
| 817 | borrow &= 1; /* keep only 1 sign bit */ |
| 818 | } |
| 819 | for (; borrow && i < m; ++i) { |
| 820 | borrow = x[i] - borrow; |
| 821 | x[i] = borrow & MASK; |
| 822 | borrow >>= SHIFT; |
| 823 | borrow &= 1; |
| 824 | } |
| 825 | return borrow; |
| 826 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 827 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 828 | /* Multiply by a single digit, ignoring the sign. */ |
| 829 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 830 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 831 | mul1(PyLongObject *a, wdigit n) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 832 | { |
| 833 | return muladd1(a, n, (digit)0); |
| 834 | } |
| 835 | |
| 836 | /* Multiply by a single digit and add a single digit, ignoring the sign. */ |
| 837 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 838 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 839 | muladd1(PyLongObject *a, wdigit n, wdigit extra) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 840 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 841 | int size_a = ABS(a->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 842 | PyLongObject *z = _PyLong_New(size_a+1); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 843 | twodigits carry = extra; |
| 844 | int i; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 845 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 846 | if (z == NULL) |
| 847 | return NULL; |
| 848 | for (i = 0; i < size_a; ++i) { |
| 849 | carry += (twodigits)a->ob_digit[i] * n; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 850 | z->ob_digit[i] = (digit) (carry & MASK); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 851 | carry >>= SHIFT; |
| 852 | } |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 853 | z->ob_digit[i] = (digit) carry; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 854 | return long_normalize(z); |
| 855 | } |
| 856 | |
Tim Peters | 212e614 | 2001-07-14 12:23:19 +0000 | [diff] [blame] | 857 | /* Divide long pin, w/ size digits, by non-zero digit n, storing quotient |
| 858 | in pout, and returning the remainder. pin and pout point at the LSD. |
| 859 | It's OK for pin == pout on entry, which saves oodles of mallocs/frees in |
| 860 | long_format, but that should be done with great care since longs are |
| 861 | immutable. */ |
| 862 | |
| 863 | static digit |
| 864 | inplace_divrem1(digit *pout, digit *pin, int size, digit n) |
| 865 | { |
| 866 | twodigits rem = 0; |
| 867 | |
| 868 | assert(n > 0 && n <= MASK); |
| 869 | pin += size; |
| 870 | pout += size; |
| 871 | while (--size >= 0) { |
| 872 | digit hi; |
| 873 | rem = (rem << SHIFT) + *--pin; |
| 874 | *--pout = hi = (digit)(rem / n); |
| 875 | rem -= hi * n; |
| 876 | } |
| 877 | return (digit)rem; |
| 878 | } |
| 879 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 880 | /* Divide a long integer by a digit, returning both the quotient |
| 881 | (as function result) and the remainder (through *prem). |
| 882 | The sign of a is ignored; n should not be zero. */ |
| 883 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 884 | static PyLongObject * |
Tim Peters | 212e614 | 2001-07-14 12:23:19 +0000 | [diff] [blame] | 885 | divrem1(PyLongObject *a, digit n, digit *prem) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 886 | { |
Tim Peters | 212e614 | 2001-07-14 12:23:19 +0000 | [diff] [blame] | 887 | const int size = ABS(a->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 888 | PyLongObject *z; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 889 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 890 | assert(n > 0 && n <= MASK); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 891 | z = _PyLong_New(size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 892 | if (z == NULL) |
| 893 | return NULL; |
Tim Peters | 212e614 | 2001-07-14 12:23:19 +0000 | [diff] [blame] | 894 | *prem = inplace_divrem1(z->ob_digit, a->ob_digit, size, n); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 895 | return long_normalize(z); |
| 896 | } |
| 897 | |
| 898 | /* Convert a long int object to a string, using a given conversion base. |
Guido van Rossum | 3d3037d | 1991-10-24 14:55:57 +0000 | [diff] [blame] | 899 | Return a string object. |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 900 | If base is 8 or 16, add the proper prefix '0' or '0x'. */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 901 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 902 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 903 | long_format(PyObject *aa, int base, int addL) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 904 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 905 | register PyLongObject *a = (PyLongObject *)aa; |
| 906 | PyStringObject *str; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 907 | int i; |
Tim Peters | 212e614 | 2001-07-14 12:23:19 +0000 | [diff] [blame] | 908 | const int size_a = ABS(a->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 909 | char *p; |
| 910 | int bits; |
| 911 | char sign = '\0'; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 912 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 913 | if (a == NULL || !PyLong_Check(a)) { |
| 914 | PyErr_BadInternalCall(); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 915 | return NULL; |
| 916 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 917 | assert(base >= 2 && base <= 36); |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 918 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 919 | /* Compute a rough upper bound for the length of the string */ |
| 920 | i = base; |
| 921 | bits = 0; |
| 922 | while (i > 1) { |
| 923 | ++bits; |
| 924 | i >>= 1; |
| 925 | } |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 926 | i = 5 + (addL ? 1 : 0) + (size_a*SHIFT + bits-1) / bits; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 927 | str = (PyStringObject *) PyString_FromStringAndSize((char *)0, i); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 928 | if (str == NULL) |
| 929 | return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 930 | p = PyString_AS_STRING(str) + i; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 931 | *p = '\0'; |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 932 | if (addL) |
| 933 | *--p = 'L'; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 934 | if (a->ob_size < 0) |
| 935 | sign = '-'; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 936 | |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 937 | if (a->ob_size == 0) { |
| 938 | *--p = '0'; |
| 939 | } |
| 940 | else if ((base & (base - 1)) == 0) { |
| 941 | /* JRH: special case for power-of-2 bases */ |
Tim Peters | 586b2e3 | 2001-07-15 09:11:14 +0000 | [diff] [blame] | 942 | twodigits accum = 0; |
| 943 | int accumbits = 0; /* # of bits in accum */ |
| 944 | int basebits = 1; /* # of bits in base-1 */ |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 945 | i = base; |
Tim Peters | 7d3a511 | 2000-07-08 04:17:21 +0000 | [diff] [blame] | 946 | while ((i >>= 1) > 1) |
| 947 | ++basebits; |
Tim Peters | 586b2e3 | 2001-07-15 09:11:14 +0000 | [diff] [blame] | 948 | |
| 949 | for (i = 0; i < size_a; ++i) { |
Tim Peters | 0d2d87d | 2002-08-20 19:00:22 +0000 | [diff] [blame] | 950 | accum |= (twodigits)a->ob_digit[i] << accumbits; |
Tim Peters | 586b2e3 | 2001-07-15 09:11:14 +0000 | [diff] [blame] | 951 | accumbits += SHIFT; |
| 952 | assert(accumbits >= basebits); |
| 953 | do { |
Martin v. Löwis | a5854c2 | 2002-02-16 23:39:10 +0000 | [diff] [blame] | 954 | char cdigit = (char)(accum & (base - 1)); |
| 955 | cdigit += (cdigit < 10) ? '0' : 'A'-10; |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 956 | assert(p > PyString_AS_STRING(str)); |
Martin v. Löwis | a5854c2 | 2002-02-16 23:39:10 +0000 | [diff] [blame] | 957 | *--p = cdigit; |
Tim Peters | 586b2e3 | 2001-07-15 09:11:14 +0000 | [diff] [blame] | 958 | accumbits -= basebits; |
| 959 | accum >>= basebits; |
| 960 | } while (i < size_a-1 ? accumbits >= basebits : |
| 961 | accum > 0); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 962 | } |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 963 | } |
| 964 | else { |
Tim Peters | fad225f | 2001-07-13 02:59:26 +0000 | [diff] [blame] | 965 | /* Not 0, and base not a power of 2. Divide repeatedly by |
| 966 | base, but for speed use the highest power of base that |
| 967 | fits in a digit. */ |
Tim Peters | 212e614 | 2001-07-14 12:23:19 +0000 | [diff] [blame] | 968 | int size = size_a; |
| 969 | digit *pin = a->ob_digit; |
| 970 | PyLongObject *scratch; |
| 971 | /* powbasw <- largest power of base that fits in a digit. */ |
Tim Peters | fad225f | 2001-07-13 02:59:26 +0000 | [diff] [blame] | 972 | digit powbase = base; /* powbase == base ** power */ |
| 973 | int power = 1; |
| 974 | for (;;) { |
| 975 | unsigned long newpow = powbase * (unsigned long)base; |
| 976 | if (newpow >> SHIFT) /* doesn't fit in a digit */ |
| 977 | break; |
| 978 | powbase = (digit)newpow; |
| 979 | ++power; |
| 980 | } |
Tim Peters | 212e614 | 2001-07-14 12:23:19 +0000 | [diff] [blame] | 981 | |
| 982 | /* Get a scratch area for repeated division. */ |
| 983 | scratch = _PyLong_New(size); |
| 984 | if (scratch == NULL) { |
| 985 | Py_DECREF(str); |
| 986 | return NULL; |
| 987 | } |
| 988 | |
| 989 | /* Repeatedly divide by powbase. */ |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 990 | do { |
Tim Peters | fad225f | 2001-07-13 02:59:26 +0000 | [diff] [blame] | 991 | int ntostore = power; |
Tim Peters | 212e614 | 2001-07-14 12:23:19 +0000 | [diff] [blame] | 992 | digit rem = inplace_divrem1(scratch->ob_digit, |
| 993 | pin, size, powbase); |
| 994 | pin = scratch->ob_digit; /* no need to use a again */ |
| 995 | if (pin[size - 1] == 0) |
| 996 | --size; |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 997 | SIGCHECK({ |
Tim Peters | 212e614 | 2001-07-14 12:23:19 +0000 | [diff] [blame] | 998 | Py_DECREF(scratch); |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 999 | Py_DECREF(str); |
| 1000 | return NULL; |
| 1001 | }) |
Tim Peters | 212e614 | 2001-07-14 12:23:19 +0000 | [diff] [blame] | 1002 | |
| 1003 | /* Break rem into digits. */ |
Tim Peters | c8a6b9b | 2001-07-14 11:01:28 +0000 | [diff] [blame] | 1004 | assert(ntostore > 0); |
| 1005 | do { |
Tim Peters | fad225f | 2001-07-13 02:59:26 +0000 | [diff] [blame] | 1006 | digit nextrem = (digit)(rem / base); |
| 1007 | char c = (char)(rem - nextrem * base); |
| 1008 | assert(p > PyString_AS_STRING(str)); |
| 1009 | c += (c < 10) ? '0' : 'A'-10; |
| 1010 | *--p = c; |
| 1011 | rem = nextrem; |
Tim Peters | c8a6b9b | 2001-07-14 11:01:28 +0000 | [diff] [blame] | 1012 | --ntostore; |
| 1013 | /* Termination is a bit delicate: must not |
| 1014 | store leading zeroes, so must get out if |
Tim Peters | 212e614 | 2001-07-14 12:23:19 +0000 | [diff] [blame] | 1015 | remaining quotient and rem are both 0. */ |
| 1016 | } while (ntostore && (size || rem)); |
| 1017 | } while (size != 0); |
| 1018 | Py_DECREF(scratch); |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 1019 | } |
| 1020 | |
Guido van Rossum | 2c47542 | 1992-08-14 15:13:07 +0000 | [diff] [blame] | 1021 | if (base == 8) { |
| 1022 | if (size_a != 0) |
| 1023 | *--p = '0'; |
| 1024 | } |
Guido van Rossum | 3d3037d | 1991-10-24 14:55:57 +0000 | [diff] [blame] | 1025 | else if (base == 16) { |
| 1026 | *--p = 'x'; |
| 1027 | *--p = '0'; |
| 1028 | } |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1029 | else if (base != 10) { |
| 1030 | *--p = '#'; |
| 1031 | *--p = '0' + base%10; |
| 1032 | if (base > 10) |
| 1033 | *--p = '0' + base/10; |
| 1034 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1035 | if (sign) |
| 1036 | *--p = sign; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1037 | if (p != PyString_AS_STRING(str)) { |
| 1038 | char *q = PyString_AS_STRING(str); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1039 | assert(p > q); |
| 1040 | do { |
| 1041 | } while ((*q++ = *p++) != '\0'); |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1042 | q--; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1043 | _PyString_Resize((PyObject **)&str, |
| 1044 | (int) (q - PyString_AS_STRING(str))); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1045 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1046 | return (PyObject *)str; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1047 | } |
| 1048 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1049 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1050 | PyLong_FromString(char *str, char **pend, int base) |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1051 | { |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1052 | int sign = 1; |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 1053 | char *start, *orig_str = str; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1054 | PyLongObject *z; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1055 | |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 1056 | if ((base != 0 && base < 2) || base > 36) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1057 | PyErr_SetString(PyExc_ValueError, |
Fred Drake | 661ea26 | 2000-10-24 19:57:45 +0000 | [diff] [blame] | 1058 | "long() arg 2 must be >= 2 and <= 36"); |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1059 | return NULL; |
| 1060 | } |
Guido van Rossum | 9fa2c11 | 1995-02-10 17:00:37 +0000 | [diff] [blame] | 1061 | while (*str != '\0' && isspace(Py_CHARMASK(*str))) |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1062 | str++; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1063 | if (*str == '+') |
| 1064 | ++str; |
| 1065 | else if (*str == '-') { |
| 1066 | ++str; |
| 1067 | sign = -1; |
| 1068 | } |
Guido van Rossum | 9fa2c11 | 1995-02-10 17:00:37 +0000 | [diff] [blame] | 1069 | while (*str != '\0' && isspace(Py_CHARMASK(*str))) |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1070 | str++; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1071 | if (base == 0) { |
| 1072 | if (str[0] != '0') |
| 1073 | base = 10; |
| 1074 | else if (str[1] == 'x' || str[1] == 'X') |
| 1075 | base = 16; |
| 1076 | else |
| 1077 | base = 8; |
| 1078 | } |
| 1079 | if (base == 16 && str[0] == '0' && (str[1] == 'x' || str[1] == 'X')) |
| 1080 | str += 2; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1081 | z = _PyLong_New(0); |
Guido van Rossum | e676297 | 1998-06-22 03:54:46 +0000 | [diff] [blame] | 1082 | start = str; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1083 | for ( ; z != NULL; ++str) { |
| 1084 | int k = -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1085 | PyLongObject *temp; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1086 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1087 | if (*str <= '9') |
| 1088 | k = *str - '0'; |
| 1089 | else if (*str >= 'a') |
| 1090 | k = *str - 'a' + 10; |
| 1091 | else if (*str >= 'A') |
| 1092 | k = *str - 'A' + 10; |
| 1093 | if (k < 0 || k >= base) |
| 1094 | break; |
| 1095 | temp = muladd1(z, (digit)base, (digit)k); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1096 | Py_DECREF(z); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1097 | z = temp; |
| 1098 | } |
Guido van Rossum | ac6a37a | 1998-08-04 15:04:06 +0000 | [diff] [blame] | 1099 | if (z == NULL) |
| 1100 | return NULL; |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 1101 | if (str == start) |
| 1102 | goto onError; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1103 | if (sign < 0 && z != NULL && z->ob_size != 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1104 | z->ob_size = -(z->ob_size); |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 1105 | if (*str == 'L' || *str == 'l') |
| 1106 | str++; |
| 1107 | while (*str && isspace(Py_CHARMASK(*str))) |
| 1108 | str++; |
| 1109 | if (*str != '\0') |
| 1110 | goto onError; |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1111 | if (pend) |
| 1112 | *pend = str; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1113 | return (PyObject *) z; |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 1114 | |
| 1115 | onError: |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1116 | PyErr_Format(PyExc_ValueError, |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 1117 | "invalid literal for long(): %.200s", orig_str); |
| 1118 | Py_XDECREF(z); |
| 1119 | return NULL; |
| 1120 | } |
| 1121 | |
Martin v. Löwis | 339d0f7 | 2001-08-17 18:39:25 +0000 | [diff] [blame] | 1122 | #ifdef Py_USING_UNICODE |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 1123 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1124 | PyLong_FromUnicode(Py_UNICODE *u, int length, int base) |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 1125 | { |
| 1126 | char buffer[256]; |
| 1127 | |
| 1128 | if (length >= sizeof(buffer)) { |
| 1129 | PyErr_SetString(PyExc_ValueError, |
| 1130 | "long() literal too large to convert"); |
| 1131 | return NULL; |
| 1132 | } |
| 1133 | if (PyUnicode_EncodeDecimal(u, length, buffer, NULL)) |
| 1134 | return NULL; |
| 1135 | |
| 1136 | return PyLong_FromString(buffer, NULL, base); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1137 | } |
Martin v. Löwis | 339d0f7 | 2001-08-17 18:39:25 +0000 | [diff] [blame] | 1138 | #endif |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1139 | |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1140 | /* forward */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1141 | static PyLongObject *x_divrem |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1142 | (PyLongObject *, PyLongObject *, PyLongObject **); |
| 1143 | static PyObject *long_pos(PyLongObject *); |
| 1144 | static int long_divrem(PyLongObject *, PyLongObject *, |
| 1145 | PyLongObject **, PyLongObject **); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1146 | |
| 1147 | /* Long division with remainder, top-level routine */ |
| 1148 | |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1149 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1150 | long_divrem(PyLongObject *a, PyLongObject *b, |
| 1151 | PyLongObject **pdiv, PyLongObject **prem) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1152 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1153 | int size_a = ABS(a->ob_size), size_b = ABS(b->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1154 | PyLongObject *z; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1155 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1156 | if (size_b == 0) { |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 1157 | PyErr_SetString(PyExc_ZeroDivisionError, |
Fred Drake | 661ea26 | 2000-10-24 19:57:45 +0000 | [diff] [blame] | 1158 | "long division or modulo by zero"); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1159 | return -1; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1160 | } |
| 1161 | if (size_a < size_b || |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 1162 | (size_a == size_b && |
| 1163 | a->ob_digit[size_a-1] < b->ob_digit[size_b-1])) { |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1164 | /* |a| < |b|. */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1165 | *pdiv = _PyLong_New(0); |
| 1166 | Py_INCREF(a); |
| 1167 | *prem = (PyLongObject *) a; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1168 | return 0; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1169 | } |
| 1170 | if (size_b == 1) { |
| 1171 | digit rem = 0; |
| 1172 | z = divrem1(a, b->ob_digit[0], &rem); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1173 | if (z == NULL) |
| 1174 | return -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1175 | *prem = (PyLongObject *) PyLong_FromLong((long)rem); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1176 | } |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1177 | else { |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1178 | z = x_divrem(a, b, prem); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1179 | if (z == NULL) |
| 1180 | return -1; |
| 1181 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1182 | /* Set the signs. |
| 1183 | The quotient z has the sign of a*b; |
| 1184 | the remainder r has the sign of a, |
| 1185 | so a = b*z + r. */ |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1186 | if ((a->ob_size < 0) != (b->ob_size < 0)) |
| 1187 | z->ob_size = -(z->ob_size); |
| 1188 | if (a->ob_size < 0 && (*prem)->ob_size != 0) |
| 1189 | (*prem)->ob_size = -((*prem)->ob_size); |
| 1190 | *pdiv = z; |
| 1191 | return 0; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1192 | } |
| 1193 | |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1194 | /* Unsigned long division with remainder -- the algorithm */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1195 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1196 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1197 | x_divrem(PyLongObject *v1, PyLongObject *w1, PyLongObject **prem) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1198 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1199 | int size_v = ABS(v1->ob_size), size_w = ABS(w1->ob_size); |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 1200 | digit d = (digit) ((twodigits)BASE / (w1->ob_digit[size_w-1] + 1)); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1201 | PyLongObject *v = mul1(v1, d); |
| 1202 | PyLongObject *w = mul1(w1, d); |
| 1203 | PyLongObject *a; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1204 | int j, k; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1205 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1206 | if (v == NULL || w == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1207 | Py_XDECREF(v); |
| 1208 | Py_XDECREF(w); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1209 | return NULL; |
| 1210 | } |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1211 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1212 | assert(size_v >= size_w && size_w > 1); /* Assert checks by div() */ |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1213 | assert(v->ob_refcnt == 1); /* Since v will be used as accumulator! */ |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1214 | assert(size_w == ABS(w->ob_size)); /* That's how d was calculated */ |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1215 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1216 | size_v = ABS(v->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1217 | a = _PyLong_New(size_v - size_w + 1); |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1218 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1219 | for (j = size_v, k = a->ob_size-1; a != NULL && k >= 0; --j, --k) { |
| 1220 | digit vj = (j >= size_v) ? 0 : v->ob_digit[j]; |
| 1221 | twodigits q; |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1222 | stwodigits carry = 0; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1223 | int i; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1224 | |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1225 | SIGCHECK({ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1226 | Py_DECREF(a); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1227 | a = NULL; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1228 | break; |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1229 | }) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1230 | if (vj == w->ob_digit[size_w-1]) |
| 1231 | q = MASK; |
| 1232 | else |
| 1233 | q = (((twodigits)vj << SHIFT) + v->ob_digit[j-1]) / |
| 1234 | w->ob_digit[size_w-1]; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1235 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1236 | while (w->ob_digit[size_w-2]*q > |
| 1237 | (( |
| 1238 | ((twodigits)vj << SHIFT) |
| 1239 | + v->ob_digit[j-1] |
| 1240 | - q*w->ob_digit[size_w-1] |
| 1241 | ) << SHIFT) |
| 1242 | + v->ob_digit[j-2]) |
| 1243 | --q; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1244 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1245 | for (i = 0; i < size_w && i+k < size_v; ++i) { |
| 1246 | twodigits z = w->ob_digit[i] * q; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 1247 | digit zz = (digit) (z >> SHIFT); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1248 | carry += v->ob_digit[i+k] - z |
| 1249 | + ((twodigits)zz << SHIFT); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1250 | v->ob_digit[i+k] = carry & MASK; |
Tim Peters | 7d3a511 | 2000-07-08 04:17:21 +0000 | [diff] [blame] | 1251 | carry = Py_ARITHMETIC_RIGHT_SHIFT(BASE_TWODIGITS_TYPE, |
| 1252 | carry, SHIFT); |
| 1253 | carry -= zz; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1254 | } |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1255 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1256 | if (i+k < size_v) { |
| 1257 | carry += v->ob_digit[i+k]; |
| 1258 | v->ob_digit[i+k] = 0; |
| 1259 | } |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1260 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1261 | if (carry == 0) |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 1262 | a->ob_digit[k] = (digit) q; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1263 | else { |
| 1264 | assert(carry == -1); |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 1265 | a->ob_digit[k] = (digit) q-1; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1266 | carry = 0; |
| 1267 | for (i = 0; i < size_w && i+k < size_v; ++i) { |
| 1268 | carry += v->ob_digit[i+k] + w->ob_digit[i]; |
| 1269 | v->ob_digit[i+k] = carry & MASK; |
Tim Peters | 7d3a511 | 2000-07-08 04:17:21 +0000 | [diff] [blame] | 1270 | carry = Py_ARITHMETIC_RIGHT_SHIFT( |
| 1271 | BASE_TWODIGITS_TYPE, |
| 1272 | carry, SHIFT); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1273 | } |
| 1274 | } |
| 1275 | } /* for j, k */ |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1276 | |
Guido van Rossum | c206c76 | 1995-01-10 15:23:19 +0000 | [diff] [blame] | 1277 | if (a == NULL) |
| 1278 | *prem = NULL; |
| 1279 | else { |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1280 | a = long_normalize(a); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1281 | *prem = divrem1(v, d, &d); |
| 1282 | /* d receives the (unused) remainder */ |
| 1283 | if (*prem == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1284 | Py_DECREF(a); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1285 | a = NULL; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1286 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1287 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1288 | Py_DECREF(v); |
| 1289 | Py_DECREF(w); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1290 | return a; |
| 1291 | } |
| 1292 | |
| 1293 | /* Methods */ |
| 1294 | |
| 1295 | static void |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1296 | long_dealloc(PyObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1297 | { |
Guido van Rossum | 9475a23 | 2001-10-05 20:51:39 +0000 | [diff] [blame] | 1298 | v->ob_type->tp_free(v); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1299 | } |
| 1300 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1301 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1302 | long_repr(PyObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1303 | { |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 1304 | return long_format(v, 10, 1); |
| 1305 | } |
| 1306 | |
| 1307 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1308 | long_str(PyObject *v) |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 1309 | { |
| 1310 | return long_format(v, 10, 0); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1311 | } |
| 1312 | |
| 1313 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1314 | long_compare(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1315 | { |
| 1316 | int sign; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1317 | |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1318 | if (a->ob_size != b->ob_size) { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1319 | if (ABS(a->ob_size) == 0 && ABS(b->ob_size) == 0) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1320 | sign = 0; |
| 1321 | else |
| 1322 | sign = a->ob_size - b->ob_size; |
| 1323 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1324 | else { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1325 | int i = ABS(a->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1326 | while (--i >= 0 && a->ob_digit[i] == b->ob_digit[i]) |
| 1327 | ; |
| 1328 | if (i < 0) |
| 1329 | sign = 0; |
Guido van Rossum | 0b0db8e | 1993-01-21 16:07:51 +0000 | [diff] [blame] | 1330 | else { |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1331 | sign = (int)a->ob_digit[i] - (int)b->ob_digit[i]; |
Guido van Rossum | 0b0db8e | 1993-01-21 16:07:51 +0000 | [diff] [blame] | 1332 | if (a->ob_size < 0) |
| 1333 | sign = -sign; |
| 1334 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1335 | } |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1336 | return sign < 0 ? -1 : sign > 0 ? 1 : 0; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1337 | } |
| 1338 | |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 1339 | static long |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1340 | long_hash(PyLongObject *v) |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 1341 | { |
| 1342 | long x; |
| 1343 | int i, sign; |
| 1344 | |
| 1345 | /* This is designed so that Python ints and longs with the |
| 1346 | same value hash to the same value, otherwise comparisons |
| 1347 | of mapping keys will turn out weird */ |
| 1348 | i = v->ob_size; |
| 1349 | sign = 1; |
| 1350 | x = 0; |
| 1351 | if (i < 0) { |
| 1352 | sign = -1; |
| 1353 | i = -(i); |
| 1354 | } |
| 1355 | while (--i >= 0) { |
| 1356 | /* Force a 32-bit circular shift */ |
| 1357 | x = ((x << SHIFT) & ~MASK) | ((x >> (32-SHIFT)) & MASK); |
| 1358 | x += v->ob_digit[i]; |
| 1359 | } |
| 1360 | x = x * sign; |
| 1361 | if (x == -1) |
| 1362 | x = -2; |
| 1363 | return x; |
| 1364 | } |
| 1365 | |
| 1366 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1367 | /* Add the absolute values of two long integers. */ |
| 1368 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1369 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1370 | x_add(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1371 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1372 | int size_a = ABS(a->ob_size), size_b = ABS(b->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1373 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1374 | int i; |
| 1375 | digit carry = 0; |
Tim Peters | 69c2de3 | 2001-09-11 22:31:33 +0000 | [diff] [blame] | 1376 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1377 | /* Ensure a is the larger of the two: */ |
| 1378 | if (size_a < size_b) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1379 | { PyLongObject *temp = a; a = b; b = temp; } |
| 1380 | { int size_temp = size_a; |
| 1381 | size_a = size_b; |
| 1382 | size_b = size_temp; } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1383 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1384 | z = _PyLong_New(size_a+1); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1385 | if (z == NULL) |
| 1386 | return NULL; |
| 1387 | for (i = 0; i < size_b; ++i) { |
| 1388 | carry += a->ob_digit[i] + b->ob_digit[i]; |
| 1389 | z->ob_digit[i] = carry & MASK; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1390 | carry >>= SHIFT; |
| 1391 | } |
| 1392 | for (; i < size_a; ++i) { |
| 1393 | carry += a->ob_digit[i]; |
| 1394 | z->ob_digit[i] = carry & MASK; |
| 1395 | carry >>= SHIFT; |
| 1396 | } |
| 1397 | z->ob_digit[i] = carry; |
| 1398 | return long_normalize(z); |
| 1399 | } |
| 1400 | |
| 1401 | /* Subtract the absolute values of two integers. */ |
| 1402 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1403 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1404 | x_sub(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1405 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1406 | int size_a = ABS(a->ob_size), size_b = ABS(b->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1407 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1408 | int i; |
| 1409 | int sign = 1; |
| 1410 | digit borrow = 0; |
Tim Peters | 69c2de3 | 2001-09-11 22:31:33 +0000 | [diff] [blame] | 1411 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1412 | /* Ensure a is the larger of the two: */ |
| 1413 | if (size_a < size_b) { |
| 1414 | sign = -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1415 | { PyLongObject *temp = a; a = b; b = temp; } |
| 1416 | { int size_temp = size_a; |
| 1417 | size_a = size_b; |
| 1418 | size_b = size_temp; } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1419 | } |
| 1420 | else if (size_a == size_b) { |
| 1421 | /* Find highest digit where a and b differ: */ |
| 1422 | i = size_a; |
| 1423 | while (--i >= 0 && a->ob_digit[i] == b->ob_digit[i]) |
| 1424 | ; |
| 1425 | if (i < 0) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1426 | return _PyLong_New(0); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1427 | if (a->ob_digit[i] < b->ob_digit[i]) { |
| 1428 | sign = -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1429 | { PyLongObject *temp = a; a = b; b = temp; } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1430 | } |
| 1431 | size_a = size_b = i+1; |
| 1432 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1433 | z = _PyLong_New(size_a); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1434 | if (z == NULL) |
| 1435 | return NULL; |
| 1436 | for (i = 0; i < size_b; ++i) { |
| 1437 | /* The following assumes unsigned arithmetic |
| 1438 | works module 2**N for some N>SHIFT. */ |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1439 | borrow = a->ob_digit[i] - b->ob_digit[i] - borrow; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1440 | z->ob_digit[i] = borrow & MASK; |
| 1441 | borrow >>= SHIFT; |
| 1442 | borrow &= 1; /* Keep only one sign bit */ |
| 1443 | } |
| 1444 | for (; i < size_a; ++i) { |
| 1445 | borrow = a->ob_digit[i] - borrow; |
| 1446 | z->ob_digit[i] = borrow & MASK; |
| 1447 | borrow >>= SHIFT; |
Tim Peters | 43f04a3 | 2000-07-08 02:26:47 +0000 | [diff] [blame] | 1448 | borrow &= 1; /* Keep only one sign bit */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1449 | } |
| 1450 | assert(borrow == 0); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1451 | if (sign < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1452 | z->ob_size = -(z->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1453 | return long_normalize(z); |
| 1454 | } |
| 1455 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1456 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1457 | long_add(PyLongObject *v, PyLongObject *w) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1458 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1459 | PyLongObject *a, *b, *z; |
Tim Peters | 69c2de3 | 2001-09-11 22:31:33 +0000 | [diff] [blame] | 1460 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1461 | CONVERT_BINOP((PyObject *)v, (PyObject *)w, &a, &b); |
| 1462 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1463 | if (a->ob_size < 0) { |
| 1464 | if (b->ob_size < 0) { |
| 1465 | z = x_add(a, b); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1466 | if (z != NULL && z->ob_size != 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1467 | z->ob_size = -(z->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1468 | } |
| 1469 | else |
| 1470 | z = x_sub(b, a); |
| 1471 | } |
| 1472 | else { |
| 1473 | if (b->ob_size < 0) |
| 1474 | z = x_sub(a, b); |
| 1475 | else |
| 1476 | z = x_add(a, b); |
| 1477 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1478 | Py_DECREF(a); |
| 1479 | Py_DECREF(b); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1480 | return (PyObject *)z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1481 | } |
| 1482 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1483 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1484 | long_sub(PyLongObject *v, PyLongObject *w) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1485 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1486 | PyLongObject *a, *b, *z; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1487 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1488 | CONVERT_BINOP((PyObject *)v, (PyObject *)w, &a, &b); |
| 1489 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1490 | if (a->ob_size < 0) { |
| 1491 | if (b->ob_size < 0) |
| 1492 | z = x_sub(a, b); |
| 1493 | else |
| 1494 | z = x_add(a, b); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1495 | if (z != NULL && z->ob_size != 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1496 | z->ob_size = -(z->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1497 | } |
| 1498 | else { |
| 1499 | if (b->ob_size < 0) |
| 1500 | z = x_add(a, b); |
| 1501 | else |
| 1502 | z = x_sub(a, b); |
| 1503 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1504 | Py_DECREF(a); |
| 1505 | Py_DECREF(b); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1506 | return (PyObject *)z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1507 | } |
| 1508 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1509 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1510 | long_repeat(PyObject *v, PyLongObject *w) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1511 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1512 | /* sequence * long */ |
| 1513 | long n = PyLong_AsLong((PyObject *) w); |
| 1514 | if (n == -1 && PyErr_Occurred()) |
| 1515 | return NULL; |
| 1516 | else |
| 1517 | return (*v->ob_type->tp_as_sequence->sq_repeat)(v, n); |
| 1518 | } |
| 1519 | |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1520 | /* Grade school multiplication, ignoring the signs. |
| 1521 | * Returns the absolute value of the product, or NULL if error. |
| 1522 | */ |
| 1523 | static PyLongObject * |
| 1524 | x_mul(PyLongObject *a, PyLongObject *b) |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1525 | { |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1526 | PyLongObject *z; |
| 1527 | int size_a = ABS(a->ob_size); |
| 1528 | int size_b = ABS(b->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1529 | int i; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1530 | |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1531 | z = _PyLong_New(size_a + size_b); |
| 1532 | if (z == NULL) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1533 | return NULL; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1534 | |
| 1535 | memset(z->ob_digit, 0, z->ob_size * sizeof(digit)); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1536 | for (i = 0; i < size_a; ++i) { |
| 1537 | twodigits carry = 0; |
| 1538 | twodigits f = a->ob_digit[i]; |
| 1539 | int j; |
Tim Peters | 115c888 | 2002-08-12 18:25:43 +0000 | [diff] [blame] | 1540 | digit *pz = z->ob_digit + i; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1541 | |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1542 | SIGCHECK({ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1543 | Py_DECREF(z); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1544 | return NULL; |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1545 | }) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1546 | for (j = 0; j < size_b; ++j) { |
Tim Peters | 115c888 | 2002-08-12 18:25:43 +0000 | [diff] [blame] | 1547 | carry += *pz + b->ob_digit[j] * f; |
| 1548 | *pz++ = (digit) (carry & MASK); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1549 | carry >>= SHIFT; |
| 1550 | } |
| 1551 | for (; carry != 0; ++j) { |
| 1552 | assert(i+j < z->ob_size); |
Tim Peters | 115c888 | 2002-08-12 18:25:43 +0000 | [diff] [blame] | 1553 | carry += *pz; |
| 1554 | *pz++ = (digit) (carry & MASK); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1555 | carry >>= SHIFT; |
| 1556 | } |
| 1557 | } |
Tim Peters | 44121a6 | 2002-08-12 06:17:58 +0000 | [diff] [blame] | 1558 | return long_normalize(z); |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1559 | } |
| 1560 | |
| 1561 | /* A helper for Karatsuba multiplication (k_mul). |
| 1562 | Takes a long "n" and an integer "size" representing the place to |
| 1563 | split, and sets low and high such that abs(n) == (high << size) + low, |
| 1564 | viewing the shift as being by digits. The sign bit is ignored, and |
| 1565 | the return values are >= 0. |
| 1566 | Returns 0 on success, -1 on failure. |
| 1567 | */ |
| 1568 | static int |
| 1569 | kmul_split(PyLongObject *n, int size, PyLongObject **high, PyLongObject **low) |
| 1570 | { |
| 1571 | PyLongObject *hi, *lo; |
| 1572 | int size_lo, size_hi; |
| 1573 | const int size_n = ABS(n->ob_size); |
| 1574 | |
| 1575 | size_lo = MIN(size_n, size); |
| 1576 | size_hi = size_n - size_lo; |
| 1577 | |
| 1578 | if ((hi = _PyLong_New(size_hi)) == NULL) |
| 1579 | return -1; |
| 1580 | if ((lo = _PyLong_New(size_lo)) == NULL) { |
| 1581 | Py_DECREF(hi); |
| 1582 | return -1; |
| 1583 | } |
| 1584 | |
| 1585 | memcpy(lo->ob_digit, n->ob_digit, size_lo * sizeof(digit)); |
| 1586 | memcpy(hi->ob_digit, n->ob_digit + size_lo, size_hi * sizeof(digit)); |
| 1587 | |
| 1588 | *high = long_normalize(hi); |
| 1589 | *low = long_normalize(lo); |
| 1590 | return 0; |
| 1591 | } |
| 1592 | |
Tim Peters | 6000464 | 2002-08-12 22:01:34 +0000 | [diff] [blame] | 1593 | static PyLongObject *k_lopsided_mul(PyLongObject *a, PyLongObject *b); |
| 1594 | |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1595 | /* Karatsuba multiplication. Ignores the input signs, and returns the |
| 1596 | * absolute value of the product (or NULL if error). |
| 1597 | * See Knuth Vol. 2 Chapter 4.3.3 (Pp. 294-295). |
| 1598 | */ |
| 1599 | static PyLongObject * |
| 1600 | k_mul(PyLongObject *a, PyLongObject *b) |
| 1601 | { |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1602 | int asize = ABS(a->ob_size); |
| 1603 | int bsize = ABS(b->ob_size); |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1604 | PyLongObject *ah = NULL; |
| 1605 | PyLongObject *al = NULL; |
| 1606 | PyLongObject *bh = NULL; |
| 1607 | PyLongObject *bl = NULL; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1608 | PyLongObject *ret = NULL; |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1609 | PyLongObject *t1, *t2, *t3; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1610 | int shift; /* the number of digits we split off */ |
| 1611 | int i; |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1612 | |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1613 | /* (ah*X+al)(bh*X+bl) = ah*bh*X*X + (ah*bl + al*bh)*X + al*bl |
| 1614 | * Let k = (ah+al)*(bh+bl) = ah*bl + al*bh + ah*bh + al*bl |
| 1615 | * Then the original product is |
Tim Peters | 18c15b9 | 2002-08-12 02:43:58 +0000 | [diff] [blame] | 1616 | * ah*bh*X*X + (k - ah*bh - al*bl)*X + al*bl |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1617 | * By picking X to be a power of 2, "*X" is just shifting, and it's |
| 1618 | * been reduced to 3 multiplies on numbers half the size. |
| 1619 | */ |
| 1620 | |
Tim Peters | fc07e56 | 2002-08-12 02:54:10 +0000 | [diff] [blame] | 1621 | /* We want to split based on the larger number; fiddle so that b |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1622 | * is largest. |
| 1623 | */ |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1624 | if (asize > bsize) { |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1625 | t1 = a; |
| 1626 | a = b; |
| 1627 | b = t1; |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1628 | |
| 1629 | i = asize; |
| 1630 | asize = bsize; |
| 1631 | bsize = i; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1632 | } |
| 1633 | |
| 1634 | /* Use gradeschool math when either number is too small. */ |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1635 | if (asize <= KARATSUBA_CUTOFF) { |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1636 | if (asize == 0) |
Tim Peters | 44121a6 | 2002-08-12 06:17:58 +0000 | [diff] [blame] | 1637 | return _PyLong_New(0); |
| 1638 | else |
| 1639 | return x_mul(a, b); |
| 1640 | } |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1641 | |
Tim Peters | 6000464 | 2002-08-12 22:01:34 +0000 | [diff] [blame] | 1642 | /* If a is small compared to b, splitting on b gives a degenerate |
| 1643 | * case with ah==0, and Karatsuba may be (even much) less efficient |
| 1644 | * than "grade school" then. However, we can still win, by viewing |
| 1645 | * b as a string of "big digits", each of width a->ob_size. That |
| 1646 | * leads to a sequence of balanced calls to k_mul. |
| 1647 | */ |
| 1648 | if (2 * asize <= bsize) |
| 1649 | return k_lopsided_mul(a, b); |
| 1650 | |
Tim Peters | d6974a5 | 2002-08-13 20:37:51 +0000 | [diff] [blame] | 1651 | /* Split a & b into hi & lo pieces. */ |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1652 | shift = bsize >> 1; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1653 | if (kmul_split(a, shift, &ah, &al) < 0) goto fail; |
Tim Peters | d6974a5 | 2002-08-13 20:37:51 +0000 | [diff] [blame] | 1654 | assert(ah->ob_size > 0); /* the split isn't degenerate */ |
| 1655 | |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1656 | if (kmul_split(b, shift, &bh, &bl) < 0) goto fail; |
| 1657 | |
Tim Peters | d64c1de | 2002-08-12 17:36:03 +0000 | [diff] [blame] | 1658 | /* The plan: |
| 1659 | * 1. Allocate result space (asize + bsize digits: that's always |
| 1660 | * enough). |
| 1661 | * 2. Compute ah*bh, and copy into result at 2*shift. |
| 1662 | * 3. Compute al*bl, and copy into result at 0. Note that this |
| 1663 | * can't overlap with #2. |
| 1664 | * 4. Subtract al*bl from the result, starting at shift. This may |
| 1665 | * underflow (borrow out of the high digit), but we don't care: |
| 1666 | * we're effectively doing unsigned arithmetic mod |
| 1667 | * BASE**(sizea + sizeb), and so long as the *final* result fits, |
| 1668 | * borrows and carries out of the high digit can be ignored. |
| 1669 | * 5. Subtract ah*bh from the result, starting at shift. |
| 1670 | * 6. Compute (ah+al)*(bh+bl), and add it into the result starting |
| 1671 | * at shift. |
| 1672 | */ |
| 1673 | |
| 1674 | /* 1. Allocate result space. */ |
Tim Peters | 70b041b | 2002-08-12 19:38:01 +0000 | [diff] [blame] | 1675 | ret = _PyLong_New(asize + bsize); |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1676 | if (ret == NULL) goto fail; |
| 1677 | #ifdef Py_DEBUG |
| 1678 | /* Fill with trash, to catch reference to uninitialized digits. */ |
| 1679 | memset(ret->ob_digit, 0xDF, ret->ob_size * sizeof(digit)); |
| 1680 | #endif |
Tim Peters | 44121a6 | 2002-08-12 06:17:58 +0000 | [diff] [blame] | 1681 | |
Tim Peters | d64c1de | 2002-08-12 17:36:03 +0000 | [diff] [blame] | 1682 | /* 2. t1 <- ah*bh, and copy into high digits of result. */ |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1683 | if ((t1 = k_mul(ah, bh)) == NULL) goto fail; |
| 1684 | assert(t1->ob_size >= 0); |
| 1685 | assert(2*shift + t1->ob_size <= ret->ob_size); |
| 1686 | memcpy(ret->ob_digit + 2*shift, t1->ob_digit, |
| 1687 | t1->ob_size * sizeof(digit)); |
| 1688 | |
| 1689 | /* Zero-out the digits higher than the ah*bh copy. */ |
| 1690 | i = ret->ob_size - 2*shift - t1->ob_size; |
Tim Peters | 44121a6 | 2002-08-12 06:17:58 +0000 | [diff] [blame] | 1691 | if (i) |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1692 | memset(ret->ob_digit + 2*shift + t1->ob_size, 0, |
Tim Peters | 44121a6 | 2002-08-12 06:17:58 +0000 | [diff] [blame] | 1693 | i * sizeof(digit)); |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1694 | |
Tim Peters | d64c1de | 2002-08-12 17:36:03 +0000 | [diff] [blame] | 1695 | /* 3. t2 <- al*bl, and copy into the low digits. */ |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1696 | if ((t2 = k_mul(al, bl)) == NULL) { |
| 1697 | Py_DECREF(t1); |
| 1698 | goto fail; |
| 1699 | } |
| 1700 | assert(t2->ob_size >= 0); |
| 1701 | assert(t2->ob_size <= 2*shift); /* no overlap with high digits */ |
| 1702 | memcpy(ret->ob_digit, t2->ob_digit, t2->ob_size * sizeof(digit)); |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1703 | |
| 1704 | /* Zero out remaining digits. */ |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1705 | i = 2*shift - t2->ob_size; /* number of uninitialized digits */ |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1706 | if (i) |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1707 | memset(ret->ob_digit + t2->ob_size, 0, i * sizeof(digit)); |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1708 | |
Tim Peters | d64c1de | 2002-08-12 17:36:03 +0000 | [diff] [blame] | 1709 | /* 4 & 5. Subtract ah*bh (t1) and al*bl (t2). We do al*bl first |
| 1710 | * because it's fresher in cache. |
| 1711 | */ |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1712 | i = ret->ob_size - shift; /* # digits after shift */ |
Tim Peters | d64c1de | 2002-08-12 17:36:03 +0000 | [diff] [blame] | 1713 | (void)v_isub(ret->ob_digit + shift, i, t2->ob_digit, t2->ob_size); |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1714 | Py_DECREF(t2); |
| 1715 | |
Tim Peters | d64c1de | 2002-08-12 17:36:03 +0000 | [diff] [blame] | 1716 | (void)v_isub(ret->ob_digit + shift, i, t1->ob_digit, t1->ob_size); |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1717 | Py_DECREF(t1); |
| 1718 | |
Tim Peters | d64c1de | 2002-08-12 17:36:03 +0000 | [diff] [blame] | 1719 | /* 6. t3 <- (ah+al)(bh+bl), and add into result. */ |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1720 | if ((t1 = x_add(ah, al)) == NULL) goto fail; |
| 1721 | Py_DECREF(ah); |
| 1722 | Py_DECREF(al); |
| 1723 | ah = al = NULL; |
| 1724 | |
| 1725 | if ((t2 = x_add(bh, bl)) == NULL) { |
| 1726 | Py_DECREF(t1); |
| 1727 | goto fail; |
| 1728 | } |
| 1729 | Py_DECREF(bh); |
| 1730 | Py_DECREF(bl); |
| 1731 | bh = bl = NULL; |
| 1732 | |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1733 | t3 = k_mul(t1, t2); |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1734 | Py_DECREF(t1); |
| 1735 | Py_DECREF(t2); |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1736 | if (t3 == NULL) goto fail; |
Tim Peters | 547607c | 2002-08-12 19:43:49 +0000 | [diff] [blame] | 1737 | assert(t3->ob_size >= 0); |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1738 | |
Tim Peters | d6974a5 | 2002-08-13 20:37:51 +0000 | [diff] [blame] | 1739 | /* Add t3. It's not obvious why we can't run out of room here. |
| 1740 | * See the (*) comment after this function. |
Tim Peters | d8b2173 | 2002-08-12 19:30:26 +0000 | [diff] [blame] | 1741 | */ |
Tim Peters | d64c1de | 2002-08-12 17:36:03 +0000 | [diff] [blame] | 1742 | (void)v_iadd(ret->ob_digit + shift, i, t3->ob_digit, t3->ob_size); |
Tim Peters | 738eda7 | 2002-08-12 15:08:20 +0000 | [diff] [blame] | 1743 | Py_DECREF(t3); |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1744 | |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1745 | return long_normalize(ret); |
| 1746 | |
| 1747 | fail: |
| 1748 | Py_XDECREF(ret); |
| 1749 | Py_XDECREF(ah); |
| 1750 | Py_XDECREF(al); |
| 1751 | Py_XDECREF(bh); |
| 1752 | Py_XDECREF(bl); |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1753 | return NULL; |
| 1754 | } |
| 1755 | |
Tim Peters | d6974a5 | 2002-08-13 20:37:51 +0000 | [diff] [blame] | 1756 | /* (*) Why adding t3 can't "run out of room" above. |
| 1757 | |
Tim Peters | ab86c2b | 2002-08-15 20:06:00 +0000 | [diff] [blame] | 1758 | Let f(x) mean the floor of x and c(x) mean the ceiling of x. Some facts |
| 1759 | to start with: |
Tim Peters | d6974a5 | 2002-08-13 20:37:51 +0000 | [diff] [blame] | 1760 | |
Tim Peters | ab86c2b | 2002-08-15 20:06:00 +0000 | [diff] [blame] | 1761 | 1. For any integer i, i = c(i/2) + f(i/2). In particular, |
| 1762 | bsize = c(bsize/2) + f(bsize/2). |
| 1763 | 2. shift = f(bsize/2) |
| 1764 | 3. asize <= bsize |
| 1765 | 4. Since we call k_lopsided_mul if asize*2 <= bsize, asize*2 > bsize in this |
| 1766 | routine, so asize > bsize/2 >= f(bsize/2) in this routine. |
Tim Peters | d6974a5 | 2002-08-13 20:37:51 +0000 | [diff] [blame] | 1767 | |
Tim Peters | ab86c2b | 2002-08-15 20:06:00 +0000 | [diff] [blame] | 1768 | We allocated asize + bsize result digits, and add t3 into them at an offset |
| 1769 | of shift. This leaves asize+bsize-shift allocated digit positions for t3 |
| 1770 | to fit into, = (by #1 and #2) asize + f(bsize/2) + c(bsize/2) - f(bsize/2) = |
| 1771 | asize + c(bsize/2) available digit positions. |
Tim Peters | d6974a5 | 2002-08-13 20:37:51 +0000 | [diff] [blame] | 1772 | |
Tim Peters | ab86c2b | 2002-08-15 20:06:00 +0000 | [diff] [blame] | 1773 | bh has c(bsize/2) digits, and bl at most f(size/2) digits. So bh+hl has |
| 1774 | at most c(bsize/2) digits + 1 bit. |
Tim Peters | d6974a5 | 2002-08-13 20:37:51 +0000 | [diff] [blame] | 1775 | |
Tim Peters | ab86c2b | 2002-08-15 20:06:00 +0000 | [diff] [blame] | 1776 | If asize == bsize, ah has c(bsize/2) digits, else ah has at most f(bsize/2) |
| 1777 | digits, and al has at most f(bsize/2) digits in any case. So ah+al has at |
| 1778 | most (asize == bsize ? c(bsize/2) : f(bsize/2)) digits + 1 bit. |
Tim Peters | d6974a5 | 2002-08-13 20:37:51 +0000 | [diff] [blame] | 1779 | |
Tim Peters | ab86c2b | 2002-08-15 20:06:00 +0000 | [diff] [blame] | 1780 | The product (ah+al)*(bh+bl) therefore has at most |
Tim Peters | d6974a5 | 2002-08-13 20:37:51 +0000 | [diff] [blame] | 1781 | |
Tim Peters | ab86c2b | 2002-08-15 20:06:00 +0000 | [diff] [blame] | 1782 | c(bsize/2) + (asize == bsize ? c(bsize/2) : f(bsize/2)) digits + 2 bits |
Tim Peters | d6974a5 | 2002-08-13 20:37:51 +0000 | [diff] [blame] | 1783 | |
Tim Peters | ab86c2b | 2002-08-15 20:06:00 +0000 | [diff] [blame] | 1784 | and we have asize + c(bsize/2) available digit positions. We need to show |
| 1785 | this is always enough. An instance of c(bsize/2) cancels out in both, so |
| 1786 | the question reduces to whether asize digits is enough to hold |
| 1787 | (asize == bsize ? c(bsize/2) : f(bsize/2)) digits + 2 bits. If asize < bsize, |
| 1788 | then we're asking whether asize digits >= f(bsize/2) digits + 2 bits. By #4, |
| 1789 | asize is at least f(bsize/2)+1 digits, so this in turn reduces to whether 1 |
| 1790 | digit is enough to hold 2 bits. This is so since SHIFT=15 >= 2. If |
| 1791 | asize == bsize, then we're asking whether bsize digits is enough to hold |
Tim Peters | e417de0 | 2002-08-15 20:10:45 +0000 | [diff] [blame] | 1792 | c(bsize/2) digits + 2 bits, or equivalently (by #1) whether f(bsize/2) digits |
| 1793 | is enough to hold 2 bits. This is so if bsize >= 2, which holds because |
| 1794 | bsize >= KARATSUBA_CUTOFF >= 2. |
Tim Peters | 8e966ee | 2002-08-14 16:36:23 +0000 | [diff] [blame] | 1795 | |
Tim Peters | 48d52c0 | 2002-08-14 17:07:32 +0000 | [diff] [blame] | 1796 | Note that since there's always enough room for (ah+al)*(bh+bl), and that's |
| 1797 | clearly >= each of ah*bh and al*bl, there's always enough room to subtract |
| 1798 | ah*bh and al*bl too. |
Tim Peters | d6974a5 | 2002-08-13 20:37:51 +0000 | [diff] [blame] | 1799 | */ |
| 1800 | |
Tim Peters | 6000464 | 2002-08-12 22:01:34 +0000 | [diff] [blame] | 1801 | /* b has at least twice the digits of a, and a is big enough that Karatsuba |
| 1802 | * would pay off *if* the inputs had balanced sizes. View b as a sequence |
| 1803 | * of slices, each with a->ob_size digits, and multiply the slices by a, |
| 1804 | * one at a time. This gives k_mul balanced inputs to work with, and is |
| 1805 | * also cache-friendly (we compute one double-width slice of the result |
| 1806 | * at a time, then move on, never bactracking except for the helpful |
| 1807 | * single-width slice overlap between successive partial sums). |
| 1808 | */ |
| 1809 | static PyLongObject * |
| 1810 | k_lopsided_mul(PyLongObject *a, PyLongObject *b) |
| 1811 | { |
| 1812 | const int asize = ABS(a->ob_size); |
| 1813 | int bsize = ABS(b->ob_size); |
| 1814 | int nbdone; /* # of b digits already multiplied */ |
| 1815 | PyLongObject *ret; |
| 1816 | PyLongObject *bslice = NULL; |
| 1817 | |
| 1818 | assert(asize > KARATSUBA_CUTOFF); |
| 1819 | assert(2 * asize <= bsize); |
| 1820 | |
| 1821 | /* Allocate result space, and zero it out. */ |
| 1822 | ret = _PyLong_New(asize + bsize); |
| 1823 | if (ret == NULL) |
| 1824 | return NULL; |
| 1825 | memset(ret->ob_digit, 0, ret->ob_size * sizeof(digit)); |
| 1826 | |
| 1827 | /* Successive slices of b are copied into bslice. */ |
Tim Peters | 1203403 | 2002-08-12 22:10:00 +0000 | [diff] [blame] | 1828 | bslice = _PyLong_New(asize); |
Tim Peters | 6000464 | 2002-08-12 22:01:34 +0000 | [diff] [blame] | 1829 | if (bslice == NULL) |
| 1830 | goto fail; |
| 1831 | |
| 1832 | nbdone = 0; |
| 1833 | while (bsize > 0) { |
| 1834 | PyLongObject *product; |
| 1835 | const int nbtouse = MIN(bsize, asize); |
| 1836 | |
| 1837 | /* Multiply the next slice of b by a. */ |
| 1838 | memcpy(bslice->ob_digit, b->ob_digit + nbdone, |
| 1839 | nbtouse * sizeof(digit)); |
| 1840 | bslice->ob_size = nbtouse; |
| 1841 | product = k_mul(a, bslice); |
| 1842 | if (product == NULL) |
| 1843 | goto fail; |
| 1844 | |
| 1845 | /* Add into result. */ |
| 1846 | (void)v_iadd(ret->ob_digit + nbdone, ret->ob_size - nbdone, |
| 1847 | product->ob_digit, product->ob_size); |
| 1848 | Py_DECREF(product); |
| 1849 | |
| 1850 | bsize -= nbtouse; |
| 1851 | nbdone += nbtouse; |
| 1852 | } |
| 1853 | |
| 1854 | Py_DECREF(bslice); |
| 1855 | return long_normalize(ret); |
| 1856 | |
| 1857 | fail: |
| 1858 | Py_DECREF(ret); |
| 1859 | Py_XDECREF(bslice); |
| 1860 | return NULL; |
| 1861 | } |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1862 | |
| 1863 | static PyObject * |
| 1864 | long_mul(PyLongObject *v, PyLongObject *w) |
| 1865 | { |
| 1866 | PyLongObject *a, *b, *z; |
| 1867 | |
| 1868 | if (!convert_binop((PyObject *)v, (PyObject *)w, &a, &b)) { |
| 1869 | if (!PyLong_Check(v) && |
| 1870 | v->ob_type->tp_as_sequence && |
| 1871 | v->ob_type->tp_as_sequence->sq_repeat) |
| 1872 | return long_repeat((PyObject *)v, w); |
| 1873 | if (!PyLong_Check(w) && |
| 1874 | w->ob_type->tp_as_sequence && |
| 1875 | w->ob_type->tp_as_sequence->sq_repeat) |
| 1876 | return long_repeat((PyObject *)w, v); |
| 1877 | Py_INCREF(Py_NotImplemented); |
| 1878 | return Py_NotImplemented; |
| 1879 | } |
| 1880 | |
Tim Peters | d64c1de | 2002-08-12 17:36:03 +0000 | [diff] [blame] | 1881 | z = k_mul(a, b); |
Tim Peters | 9973d74 | 2002-08-15 19:41:06 +0000 | [diff] [blame] | 1882 | /* Negate if exactly one of the inputs is negative. */ |
| 1883 | if (((a->ob_size ^ b->ob_size) < 0) && z) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1884 | z->ob_size = -(z->ob_size); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1885 | Py_DECREF(a); |
| 1886 | Py_DECREF(b); |
Tim Peters | 9973d74 | 2002-08-15 19:41:06 +0000 | [diff] [blame] | 1887 | return (PyObject *)z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1888 | } |
| 1889 | |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1890 | /* The / and % operators are now defined in terms of divmod(). |
| 1891 | The expression a mod b has the value a - b*floor(a/b). |
| 1892 | The long_divrem function gives the remainder after division of |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1893 | |a| by |b|, with the sign of a. This is also expressed |
| 1894 | as a - b*trunc(a/b), if trunc truncates towards zero. |
| 1895 | Some examples: |
| 1896 | a b a rem b a mod b |
| 1897 | 13 10 3 3 |
| 1898 | -13 10 -3 7 |
| 1899 | 13 -10 3 -7 |
| 1900 | -13 -10 -3 -3 |
| 1901 | So, to get from rem to mod, we have to add b if a and b |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1902 | have different signs. We then subtract one from the 'div' |
| 1903 | part of the outcome to keep the invariant intact. */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1904 | |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1905 | static int |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1906 | l_divmod(PyLongObject *v, PyLongObject *w, |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1907 | PyLongObject **pdiv, PyLongObject **pmod) |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1908 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1909 | PyLongObject *div, *mod; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 1910 | |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1911 | if (long_divrem(v, w, &div, &mod) < 0) |
| 1912 | return -1; |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 1913 | if ((mod->ob_size < 0 && w->ob_size > 0) || |
| 1914 | (mod->ob_size > 0 && w->ob_size < 0)) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1915 | PyLongObject *temp; |
| 1916 | PyLongObject *one; |
| 1917 | temp = (PyLongObject *) long_add(mod, w); |
| 1918 | Py_DECREF(mod); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1919 | mod = temp; |
| 1920 | if (mod == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1921 | Py_DECREF(div); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1922 | return -1; |
| 1923 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1924 | one = (PyLongObject *) PyLong_FromLong(1L); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1925 | if (one == NULL || |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1926 | (temp = (PyLongObject *) long_sub(div, one)) == NULL) { |
| 1927 | Py_DECREF(mod); |
| 1928 | Py_DECREF(div); |
| 1929 | Py_XDECREF(one); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1930 | return -1; |
| 1931 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1932 | Py_DECREF(one); |
| 1933 | Py_DECREF(div); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1934 | div = temp; |
| 1935 | } |
| 1936 | *pdiv = div; |
| 1937 | *pmod = mod; |
| 1938 | return 0; |
| 1939 | } |
| 1940 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1941 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1942 | long_div(PyObject *v, PyObject *w) |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1943 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1944 | PyLongObject *a, *b, *div, *mod; |
| 1945 | |
| 1946 | CONVERT_BINOP(v, w, &a, &b); |
| 1947 | |
| 1948 | if (l_divmod(a, b, &div, &mod) < 0) { |
| 1949 | Py_DECREF(a); |
| 1950 | Py_DECREF(b); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1951 | return NULL; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1952 | } |
| 1953 | Py_DECREF(a); |
| 1954 | Py_DECREF(b); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1955 | Py_DECREF(mod); |
| 1956 | return (PyObject *)div; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1957 | } |
| 1958 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1959 | static PyObject * |
Guido van Rossum | 393661d | 2001-08-31 17:40:15 +0000 | [diff] [blame] | 1960 | long_classic_div(PyObject *v, PyObject *w) |
| 1961 | { |
| 1962 | PyLongObject *a, *b, *div, *mod; |
| 1963 | |
| 1964 | CONVERT_BINOP(v, w, &a, &b); |
| 1965 | |
| 1966 | if (Py_DivisionWarningFlag && |
| 1967 | PyErr_Warn(PyExc_DeprecationWarning, "classic long division") < 0) |
| 1968 | div = NULL; |
| 1969 | else if (l_divmod(a, b, &div, &mod) < 0) |
| 1970 | div = NULL; |
| 1971 | else |
| 1972 | Py_DECREF(mod); |
| 1973 | |
| 1974 | Py_DECREF(a); |
| 1975 | Py_DECREF(b); |
| 1976 | return (PyObject *)div; |
| 1977 | } |
| 1978 | |
| 1979 | static PyObject * |
Tim Peters | 20dab9f | 2001-09-04 05:31:47 +0000 | [diff] [blame] | 1980 | long_true_divide(PyObject *v, PyObject *w) |
| 1981 | { |
Tim Peters | e2a6000 | 2001-09-04 06:17:36 +0000 | [diff] [blame] | 1982 | PyLongObject *a, *b; |
| 1983 | double ad, bd; |
Tim Peters | 6f97e49 | 2001-11-04 23:09:40 +0000 | [diff] [blame] | 1984 | int aexp, bexp, failed; |
Tim Peters | e2a6000 | 2001-09-04 06:17:36 +0000 | [diff] [blame] | 1985 | |
| 1986 | CONVERT_BINOP(v, w, &a, &b); |
| 1987 | ad = _PyLong_AsScaledDouble((PyObject *)a, &aexp); |
| 1988 | bd = _PyLong_AsScaledDouble((PyObject *)b, &bexp); |
Tim Peters | 6f97e49 | 2001-11-04 23:09:40 +0000 | [diff] [blame] | 1989 | failed = (ad == -1.0 || bd == -1.0) && PyErr_Occurred(); |
| 1990 | Py_DECREF(a); |
| 1991 | Py_DECREF(b); |
| 1992 | if (failed) |
Tim Peters | e2a6000 | 2001-09-04 06:17:36 +0000 | [diff] [blame] | 1993 | return NULL; |
| 1994 | |
| 1995 | if (bd == 0.0) { |
| 1996 | PyErr_SetString(PyExc_ZeroDivisionError, |
| 1997 | "long division or modulo by zero"); |
| 1998 | return NULL; |
| 1999 | } |
| 2000 | |
| 2001 | /* True value is very close to ad/bd * 2**(SHIFT*(aexp-bexp)) */ |
| 2002 | ad /= bd; /* overflow/underflow impossible here */ |
| 2003 | aexp -= bexp; |
| 2004 | if (aexp > INT_MAX / SHIFT) |
| 2005 | goto overflow; |
Tim Peters | e56ed9b | 2001-09-06 21:59:14 +0000 | [diff] [blame] | 2006 | else if (aexp < -(INT_MAX / SHIFT)) |
| 2007 | return PyFloat_FromDouble(0.0); /* underflow to 0 */ |
Tim Peters | e2a6000 | 2001-09-04 06:17:36 +0000 | [diff] [blame] | 2008 | errno = 0; |
| 2009 | ad = ldexp(ad, aexp * SHIFT); |
Tim Peters | 57f282a | 2001-09-05 05:38:10 +0000 | [diff] [blame] | 2010 | if (Py_OVERFLOWED(ad)) /* ignore underflow to 0.0 */ |
Tim Peters | e2a6000 | 2001-09-04 06:17:36 +0000 | [diff] [blame] | 2011 | goto overflow; |
| 2012 | return PyFloat_FromDouble(ad); |
| 2013 | |
| 2014 | overflow: |
| 2015 | PyErr_SetString(PyExc_OverflowError, |
| 2016 | "long/long too large for a float"); |
| 2017 | return NULL; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 2018 | |
Tim Peters | 20dab9f | 2001-09-04 05:31:47 +0000 | [diff] [blame] | 2019 | } |
| 2020 | |
| 2021 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2022 | long_mod(PyObject *v, PyObject *w) |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 2023 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2024 | PyLongObject *a, *b, *div, *mod; |
| 2025 | |
| 2026 | CONVERT_BINOP(v, w, &a, &b); |
| 2027 | |
| 2028 | if (l_divmod(a, b, &div, &mod) < 0) { |
| 2029 | Py_DECREF(a); |
| 2030 | Py_DECREF(b); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 2031 | return NULL; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2032 | } |
| 2033 | Py_DECREF(a); |
| 2034 | Py_DECREF(b); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2035 | Py_DECREF(div); |
| 2036 | return (PyObject *)mod; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 2037 | } |
| 2038 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2039 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2040 | long_divmod(PyObject *v, PyObject *w) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2041 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2042 | PyLongObject *a, *b, *div, *mod; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2043 | PyObject *z; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2044 | |
| 2045 | CONVERT_BINOP(v, w, &a, &b); |
| 2046 | |
| 2047 | if (l_divmod(a, b, &div, &mod) < 0) { |
| 2048 | Py_DECREF(a); |
| 2049 | Py_DECREF(b); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2050 | return NULL; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2051 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2052 | z = PyTuple_New(2); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2053 | if (z != NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2054 | PyTuple_SetItem(z, 0, (PyObject *) div); |
| 2055 | PyTuple_SetItem(z, 1, (PyObject *) mod); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2056 | } |
| 2057 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2058 | Py_DECREF(div); |
| 2059 | Py_DECREF(mod); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2060 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2061 | Py_DECREF(a); |
| 2062 | Py_DECREF(b); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2063 | return z; |
| 2064 | } |
| 2065 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2066 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2067 | long_pow(PyObject *v, PyObject *w, PyObject *x) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2068 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2069 | PyLongObject *a, *b; |
| 2070 | PyObject *c; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2071 | PyLongObject *z, *div, *mod; |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 2072 | int size_b, i; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2073 | |
| 2074 | CONVERT_BINOP(v, w, &a, &b); |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 2075 | if (PyLong_Check(x) || Py_None == x) { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2076 | c = x; |
| 2077 | Py_INCREF(x); |
| 2078 | } |
| 2079 | else if (PyInt_Check(x)) { |
| 2080 | c = PyLong_FromLong(PyInt_AS_LONG(x)); |
| 2081 | } |
| 2082 | else { |
| 2083 | Py_DECREF(a); |
| 2084 | Py_DECREF(b); |
| 2085 | Py_INCREF(Py_NotImplemented); |
| 2086 | return Py_NotImplemented; |
| 2087 | } |
Tim Peters | 4c483c4 | 2001-09-05 06:24:58 +0000 | [diff] [blame] | 2088 | |
| 2089 | if (c != Py_None && ((PyLongObject *)c)->ob_size == 0) { |
| 2090 | PyErr_SetString(PyExc_ValueError, |
| 2091 | "pow() 3rd argument cannot be 0"); |
| 2092 | z = NULL; |
| 2093 | goto error; |
| 2094 | } |
| 2095 | |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 2096 | size_b = b->ob_size; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2097 | if (size_b < 0) { |
Guido van Rossum | 0ec9aba | 2001-07-12 11:21:17 +0000 | [diff] [blame] | 2098 | Py_DECREF(a); |
| 2099 | Py_DECREF(b); |
| 2100 | Py_DECREF(c); |
Tim Peters | 32f453e | 2001-09-03 08:35:41 +0000 | [diff] [blame] | 2101 | if (x != Py_None) { |
Tim Peters | 4c483c4 | 2001-09-05 06:24:58 +0000 | [diff] [blame] | 2102 | PyErr_SetString(PyExc_TypeError, "pow() 2nd argument " |
| 2103 | "cannot be negative when 3rd argument specified"); |
Tim Peters | 32f453e | 2001-09-03 08:35:41 +0000 | [diff] [blame] | 2104 | return NULL; |
| 2105 | } |
| 2106 | /* Return a float. This works because we know that |
| 2107 | this calls float_pow() which converts its |
| 2108 | arguments to double. */ |
Guido van Rossum | 0ec9aba | 2001-07-12 11:21:17 +0000 | [diff] [blame] | 2109 | return PyFloat_Type.tp_as_number->nb_power(v, w, x); |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 2110 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2111 | z = (PyLongObject *)PyLong_FromLong(1L); |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 2112 | for (i = 0; i < size_b; ++i) { |
| 2113 | digit bi = b->ob_digit[i]; |
| 2114 | int j; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 2115 | |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 2116 | for (j = 0; j < SHIFT; ++j) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2117 | PyLongObject *temp; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 2118 | |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 2119 | if (bi & 1) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2120 | temp = (PyLongObject *)long_mul(z, a); |
| 2121 | Py_DECREF(z); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2122 | if (c!=Py_None && temp!=NULL) { |
| 2123 | if (l_divmod(temp,(PyLongObject *)c, |
| 2124 | &div,&mod) < 0) { |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 2125 | Py_DECREF(temp); |
| 2126 | z = NULL; |
| 2127 | goto error; |
| 2128 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2129 | Py_XDECREF(div); |
| 2130 | Py_DECREF(temp); |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 2131 | temp = mod; |
| 2132 | } |
| 2133 | z = temp; |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 2134 | if (z == NULL) |
| 2135 | break; |
| 2136 | } |
| 2137 | bi >>= 1; |
| 2138 | if (bi == 0 && i+1 == size_b) |
| 2139 | break; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2140 | temp = (PyLongObject *)long_mul(a, a); |
| 2141 | Py_DECREF(a); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2142 | if (c!=Py_None && temp!=NULL) { |
| 2143 | if (l_divmod(temp, (PyLongObject *)c, &div, |
| 2144 | &mod) < 0) { |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 2145 | Py_DECREF(temp); |
| 2146 | z = NULL; |
| 2147 | goto error; |
| 2148 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2149 | Py_XDECREF(div); |
| 2150 | Py_DECREF(temp); |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 2151 | temp = mod; |
| 2152 | } |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 2153 | a = temp; |
| 2154 | if (a == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2155 | Py_DECREF(z); |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 2156 | z = NULL; |
| 2157 | break; |
| 2158 | } |
| 2159 | } |
Guido van Rossum | c206c76 | 1995-01-10 15:23:19 +0000 | [diff] [blame] | 2160 | if (a == NULL || z == NULL) |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 2161 | break; |
| 2162 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2163 | if (c!=Py_None && z!=NULL) { |
| 2164 | if (l_divmod(z, (PyLongObject *)c, &div, &mod) < 0) { |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 2165 | Py_DECREF(z); |
| 2166 | z = NULL; |
| 2167 | } |
| 2168 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2169 | Py_XDECREF(div); |
| 2170 | Py_DECREF(z); |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 2171 | z = mod; |
| 2172 | } |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 2173 | } |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 2174 | error: |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2175 | Py_XDECREF(a); |
| 2176 | Py_DECREF(b); |
| 2177 | Py_DECREF(c); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2178 | return (PyObject *)z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2179 | } |
| 2180 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2181 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2182 | long_invert(PyLongObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2183 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2184 | /* Implement ~x as -(x+1) */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2185 | PyLongObject *x; |
| 2186 | PyLongObject *w; |
| 2187 | w = (PyLongObject *)PyLong_FromLong(1L); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2188 | if (w == NULL) |
| 2189 | return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2190 | x = (PyLongObject *) long_add(v, w); |
| 2191 | Py_DECREF(w); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2192 | if (x == NULL) |
| 2193 | return NULL; |
Tim Peters | 40c397d | 2001-09-11 23:24:22 +0000 | [diff] [blame] | 2194 | x->ob_size = -(x->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2195 | return (PyObject *)x; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2196 | } |
| 2197 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2198 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2199 | long_pos(PyLongObject *v) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2200 | { |
Tim Peters | 69c2de3 | 2001-09-11 22:31:33 +0000 | [diff] [blame] | 2201 | if (PyLong_CheckExact(v)) { |
| 2202 | Py_INCREF(v); |
| 2203 | return (PyObject *)v; |
| 2204 | } |
| 2205 | else |
| 2206 | return _PyLong_Copy(v); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2207 | } |
| 2208 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2209 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2210 | long_neg(PyLongObject *v) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2211 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2212 | PyLongObject *z; |
Tim Peters | 69c2de3 | 2001-09-11 22:31:33 +0000 | [diff] [blame] | 2213 | if (v->ob_size == 0 && PyLong_CheckExact(v)) { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2214 | /* -0 == 0 */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2215 | Py_INCREF(v); |
| 2216 | return (PyObject *) v; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2217 | } |
Tim Peters | 69c2de3 | 2001-09-11 22:31:33 +0000 | [diff] [blame] | 2218 | z = (PyLongObject *)_PyLong_Copy(v); |
| 2219 | if (z != NULL) |
| 2220 | z->ob_size = -(v->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2221 | return (PyObject *)z; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2222 | } |
| 2223 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2224 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2225 | long_abs(PyLongObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2226 | { |
| 2227 | if (v->ob_size < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2228 | return long_neg(v); |
Tim Peters | 69c2de3 | 2001-09-11 22:31:33 +0000 | [diff] [blame] | 2229 | else |
| 2230 | return long_pos(v); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2231 | } |
| 2232 | |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 2233 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2234 | long_nonzero(PyLongObject *v) |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 2235 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2236 | return ABS(v->ob_size) != 0; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2237 | } |
| 2238 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2239 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2240 | long_rshift(PyLongObject *v, PyLongObject *w) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2241 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2242 | PyLongObject *a, *b; |
| 2243 | PyLongObject *z = NULL; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2244 | long shiftby; |
| 2245 | int newsize, wordshift, loshift, hishift, i, j; |
| 2246 | digit lomask, himask; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 2247 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2248 | CONVERT_BINOP((PyObject *)v, (PyObject *)w, &a, &b); |
| 2249 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2250 | if (a->ob_size < 0) { |
| 2251 | /* Right shifting negative numbers is harder */ |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2252 | PyLongObject *a1, *a2; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2253 | a1 = (PyLongObject *) long_invert(a); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2254 | if (a1 == NULL) |
| 2255 | goto rshift_error; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2256 | a2 = (PyLongObject *) long_rshift(a1, b); |
| 2257 | Py_DECREF(a1); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2258 | if (a2 == NULL) |
| 2259 | goto rshift_error; |
| 2260 | z = (PyLongObject *) long_invert(a2); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2261 | Py_DECREF(a2); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2262 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2263 | else { |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 2264 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2265 | shiftby = PyLong_AsLong((PyObject *)b); |
| 2266 | if (shiftby == -1L && PyErr_Occurred()) |
| 2267 | goto rshift_error; |
| 2268 | if (shiftby < 0) { |
| 2269 | PyErr_SetString(PyExc_ValueError, |
| 2270 | "negative shift count"); |
| 2271 | goto rshift_error; |
| 2272 | } |
| 2273 | wordshift = shiftby / SHIFT; |
| 2274 | newsize = ABS(a->ob_size) - wordshift; |
| 2275 | if (newsize <= 0) { |
| 2276 | z = _PyLong_New(0); |
| 2277 | Py_DECREF(a); |
| 2278 | Py_DECREF(b); |
| 2279 | return (PyObject *)z; |
| 2280 | } |
| 2281 | loshift = shiftby % SHIFT; |
| 2282 | hishift = SHIFT - loshift; |
| 2283 | lomask = ((digit)1 << hishift) - 1; |
| 2284 | himask = MASK ^ lomask; |
| 2285 | z = _PyLong_New(newsize); |
| 2286 | if (z == NULL) |
| 2287 | goto rshift_error; |
| 2288 | if (a->ob_size < 0) |
| 2289 | z->ob_size = -(z->ob_size); |
| 2290 | for (i = 0, j = wordshift; i < newsize; i++, j++) { |
| 2291 | z->ob_digit[i] = (a->ob_digit[j] >> loshift) & lomask; |
| 2292 | if (i+1 < newsize) |
| 2293 | z->ob_digit[i] |= |
| 2294 | (a->ob_digit[j+1] << hishift) & himask; |
| 2295 | } |
| 2296 | z = long_normalize(z); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2297 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2298 | rshift_error: |
| 2299 | Py_DECREF(a); |
| 2300 | Py_DECREF(b); |
| 2301 | return (PyObject *) z; |
| 2302 | |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2303 | } |
| 2304 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2305 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2306 | long_lshift(PyObject *v, PyObject *w) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2307 | { |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 2308 | /* This version due to Tim Peters */ |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2309 | PyLongObject *a, *b; |
| 2310 | PyLongObject *z = NULL; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2311 | long shiftby; |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 2312 | int oldsize, newsize, wordshift, remshift, i, j; |
| 2313 | twodigits accum; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 2314 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2315 | CONVERT_BINOP(v, w, &a, &b); |
| 2316 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2317 | shiftby = PyLong_AsLong((PyObject *)b); |
| 2318 | if (shiftby == -1L && PyErr_Occurred()) |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2319 | goto lshift_error; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2320 | if (shiftby < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2321 | PyErr_SetString(PyExc_ValueError, "negative shift count"); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2322 | goto lshift_error; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2323 | } |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 2324 | if ((long)(int)shiftby != shiftby) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2325 | PyErr_SetString(PyExc_ValueError, |
| 2326 | "outrageous left shift count"); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2327 | goto lshift_error; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2328 | } |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 2329 | /* wordshift, remshift = divmod(shiftby, SHIFT) */ |
| 2330 | wordshift = (int)shiftby / SHIFT; |
| 2331 | remshift = (int)shiftby - wordshift * SHIFT; |
| 2332 | |
| 2333 | oldsize = ABS(a->ob_size); |
| 2334 | newsize = oldsize + wordshift; |
| 2335 | if (remshift) |
| 2336 | ++newsize; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2337 | z = _PyLong_New(newsize); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2338 | if (z == NULL) |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2339 | goto lshift_error; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2340 | if (a->ob_size < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2341 | z->ob_size = -(z->ob_size); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2342 | for (i = 0; i < wordshift; i++) |
| 2343 | z->ob_digit[i] = 0; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 2344 | accum = 0; |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 2345 | for (i = wordshift, j = 0; j < oldsize; i++, j++) { |
Tim Peters | 0d2d87d | 2002-08-20 19:00:22 +0000 | [diff] [blame] | 2346 | accum |= (twodigits)a->ob_digit[j] << remshift; |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 2347 | z->ob_digit[i] = (digit)(accum & MASK); |
| 2348 | accum >>= SHIFT; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2349 | } |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 2350 | if (remshift) |
| 2351 | z->ob_digit[newsize-1] = (digit)accum; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 2352 | else |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 2353 | assert(!accum); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2354 | z = long_normalize(z); |
| 2355 | lshift_error: |
| 2356 | Py_DECREF(a); |
| 2357 | Py_DECREF(b); |
| 2358 | return (PyObject *) z; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2359 | } |
| 2360 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2361 | |
| 2362 | /* Bitwise and/xor/or operations */ |
| 2363 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2364 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2365 | long_bitwise(PyLongObject *a, |
| 2366 | int op, /* '&', '|', '^' */ |
| 2367 | PyLongObject *b) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2368 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2369 | digit maska, maskb; /* 0 or MASK */ |
| 2370 | int negz; |
| 2371 | int size_a, size_b, size_z; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2372 | PyLongObject *z; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2373 | int i; |
Guido van Rossum | 8b27d92 | 1992-03-27 17:27:05 +0000 | [diff] [blame] | 2374 | digit diga, digb; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2375 | PyObject *v; |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 2376 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2377 | if (a->ob_size < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2378 | a = (PyLongObject *) long_invert(a); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2379 | maska = MASK; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2380 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2381 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2382 | Py_INCREF(a); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2383 | maska = 0; |
Guido van Rossum | afbb8db | 1991-12-31 13:14:13 +0000 | [diff] [blame] | 2384 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2385 | if (b->ob_size < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2386 | b = (PyLongObject *) long_invert(b); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2387 | maskb = MASK; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2388 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2389 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2390 | Py_INCREF(b); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2391 | maskb = 0; |
| 2392 | } |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 2393 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2394 | negz = 0; |
| 2395 | switch (op) { |
| 2396 | case '^': |
| 2397 | if (maska != maskb) { |
| 2398 | maska ^= MASK; |
| 2399 | negz = -1; |
| 2400 | } |
| 2401 | break; |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 2402 | case '&': |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2403 | if (maska && maskb) { |
| 2404 | op = '|'; |
| 2405 | maska ^= MASK; |
| 2406 | maskb ^= MASK; |
| 2407 | negz = -1; |
| 2408 | } |
| 2409 | break; |
| 2410 | case '|': |
| 2411 | if (maska || maskb) { |
| 2412 | op = '&'; |
| 2413 | maska ^= MASK; |
| 2414 | maskb ^= MASK; |
| 2415 | negz = -1; |
| 2416 | } |
| 2417 | break; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2418 | } |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 2419 | |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 2420 | /* JRH: The original logic here was to allocate the result value (z) |
| 2421 | as the longer of the two operands. However, there are some cases |
| 2422 | where the result is guaranteed to be shorter than that: AND of two |
| 2423 | positives, OR of two negatives: use the shorter number. AND with |
| 2424 | mixed signs: use the positive number. OR with mixed signs: use the |
| 2425 | negative number. After the transformations above, op will be '&' |
| 2426 | iff one of these cases applies, and mask will be non-0 for operands |
| 2427 | whose length should be ignored. |
| 2428 | */ |
| 2429 | |
| 2430 | size_a = a->ob_size; |
| 2431 | size_b = b->ob_size; |
| 2432 | size_z = op == '&' |
| 2433 | ? (maska |
| 2434 | ? size_b |
| 2435 | : (maskb ? size_a : MIN(size_a, size_b))) |
| 2436 | : MAX(size_a, size_b); |
| 2437 | z = _PyLong_New(size_z); |
| 2438 | if (a == NULL || b == NULL || z == NULL) { |
| 2439 | Py_XDECREF(a); |
| 2440 | Py_XDECREF(b); |
| 2441 | Py_XDECREF(z); |
| 2442 | return NULL; |
| 2443 | } |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 2444 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2445 | for (i = 0; i < size_z; ++i) { |
| 2446 | diga = (i < size_a ? a->ob_digit[i] : 0) ^ maska; |
| 2447 | digb = (i < size_b ? b->ob_digit[i] : 0) ^ maskb; |
| 2448 | switch (op) { |
| 2449 | case '&': z->ob_digit[i] = diga & digb; break; |
| 2450 | case '|': z->ob_digit[i] = diga | digb; break; |
| 2451 | case '^': z->ob_digit[i] = diga ^ digb; break; |
| 2452 | } |
Guido van Rossum | afbb8db | 1991-12-31 13:14:13 +0000 | [diff] [blame] | 2453 | } |
Tim Peters | 5af4e6c | 2002-08-12 02:31:19 +0000 | [diff] [blame] | 2454 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2455 | Py_DECREF(a); |
| 2456 | Py_DECREF(b); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2457 | z = long_normalize(z); |
| 2458 | if (negz == 0) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2459 | return (PyObject *) z; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2460 | v = long_invert(z); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2461 | Py_DECREF(z); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 2462 | return v; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2463 | } |
| 2464 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2465 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2466 | long_and(PyObject *v, PyObject *w) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2467 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2468 | PyLongObject *a, *b; |
| 2469 | PyObject *c; |
| 2470 | CONVERT_BINOP(v, w, &a, &b); |
| 2471 | c = long_bitwise(a, '&', b); |
| 2472 | Py_DECREF(a); |
| 2473 | Py_DECREF(b); |
| 2474 | return c; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2475 | } |
| 2476 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2477 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2478 | long_xor(PyObject *v, PyObject *w) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2479 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2480 | PyLongObject *a, *b; |
| 2481 | PyObject *c; |
| 2482 | CONVERT_BINOP(v, w, &a, &b); |
| 2483 | c = long_bitwise(a, '^', b); |
| 2484 | Py_DECREF(a); |
| 2485 | Py_DECREF(b); |
| 2486 | return c; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2487 | } |
| 2488 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2489 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2490 | long_or(PyObject *v, PyObject *w) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 2491 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2492 | PyLongObject *a, *b; |
| 2493 | PyObject *c; |
| 2494 | CONVERT_BINOP(v, w, &a, &b); |
| 2495 | c = long_bitwise(a, '|', b); |
| 2496 | Py_DECREF(a); |
| 2497 | Py_DECREF(b); |
| 2498 | return c; |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 2499 | } |
| 2500 | |
Guido van Rossum | 234f942 | 1993-06-17 12:35:49 +0000 | [diff] [blame] | 2501 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2502 | long_coerce(PyObject **pv, PyObject **pw) |
Guido van Rossum | e6eefc2 | 1992-08-14 12:06:52 +0000 | [diff] [blame] | 2503 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2504 | if (PyInt_Check(*pw)) { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2505 | *pw = PyLong_FromLong(PyInt_AS_LONG(*pw)); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2506 | Py_INCREF(*pv); |
Guido van Rossum | e6eefc2 | 1992-08-14 12:06:52 +0000 | [diff] [blame] | 2507 | return 0; |
| 2508 | } |
Guido van Rossum | 1952e38 | 2001-09-19 01:25:16 +0000 | [diff] [blame] | 2509 | else if (PyLong_Check(*pw)) { |
| 2510 | Py_INCREF(*pv); |
| 2511 | Py_INCREF(*pw); |
| 2512 | return 0; |
| 2513 | } |
Guido van Rossum | e6eefc2 | 1992-08-14 12:06:52 +0000 | [diff] [blame] | 2514 | return 1; /* Can't do it */ |
| 2515 | } |
| 2516 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2517 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2518 | long_int(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2519 | { |
| 2520 | long x; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2521 | x = PyLong_AsLong(v); |
| 2522 | if (PyErr_Occurred()) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2523 | return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2524 | return PyInt_FromLong(x); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2525 | } |
| 2526 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2527 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2528 | long_long(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2529 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2530 | Py_INCREF(v); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2531 | return v; |
| 2532 | } |
| 2533 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2534 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2535 | long_float(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2536 | { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 2537 | double result; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2538 | result = PyLong_AsDouble(v); |
Tim Peters | 9fffa3e | 2001-09-04 05:14:19 +0000 | [diff] [blame] | 2539 | if (result == -1.0 && PyErr_Occurred()) |
| 2540 | return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2541 | return PyFloat_FromDouble(result); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2542 | } |
| 2543 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2544 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2545 | long_oct(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2546 | { |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 2547 | return long_format(v, 8, 1); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2548 | } |
| 2549 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2550 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2551 | long_hex(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2552 | { |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 2553 | return long_format(v, 16, 1); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2554 | } |
Jeremy Hylton | 938ace6 | 2002-07-17 16:30:39 +0000 | [diff] [blame] | 2555 | |
| 2556 | static PyObject * |
Guido van Rossum | bef1417 | 2001-08-29 15:47:46 +0000 | [diff] [blame] | 2557 | long_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2558 | |
Tim Peters | 6d6c1a3 | 2001-08-02 04:15:00 +0000 | [diff] [blame] | 2559 | static PyObject * |
| 2560 | long_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
| 2561 | { |
| 2562 | PyObject *x = NULL; |
| 2563 | int base = -909; /* unlikely! */ |
| 2564 | static char *kwlist[] = {"x", "base", 0}; |
| 2565 | |
Guido van Rossum | bef1417 | 2001-08-29 15:47:46 +0000 | [diff] [blame] | 2566 | if (type != &PyLong_Type) |
| 2567 | return long_subtype_new(type, args, kwds); /* Wimp out */ |
Tim Peters | 6d6c1a3 | 2001-08-02 04:15:00 +0000 | [diff] [blame] | 2568 | if (!PyArg_ParseTupleAndKeywords(args, kwds, "|Oi:long", kwlist, |
| 2569 | &x, &base)) |
| 2570 | return NULL; |
| 2571 | if (x == NULL) |
| 2572 | return PyLong_FromLong(0L); |
| 2573 | if (base == -909) |
| 2574 | return PyNumber_Long(x); |
| 2575 | else if (PyString_Check(x)) |
| 2576 | return PyLong_FromString(PyString_AS_STRING(x), NULL, base); |
Martin v. Löwis | 339d0f7 | 2001-08-17 18:39:25 +0000 | [diff] [blame] | 2577 | #ifdef Py_USING_UNICODE |
Tim Peters | 6d6c1a3 | 2001-08-02 04:15:00 +0000 | [diff] [blame] | 2578 | else if (PyUnicode_Check(x)) |
| 2579 | return PyLong_FromUnicode(PyUnicode_AS_UNICODE(x), |
| 2580 | PyUnicode_GET_SIZE(x), |
| 2581 | base); |
Martin v. Löwis | 339d0f7 | 2001-08-17 18:39:25 +0000 | [diff] [blame] | 2582 | #endif |
Tim Peters | 6d6c1a3 | 2001-08-02 04:15:00 +0000 | [diff] [blame] | 2583 | else { |
| 2584 | PyErr_SetString(PyExc_TypeError, |
| 2585 | "long() can't convert non-string with explicit base"); |
| 2586 | return NULL; |
| 2587 | } |
| 2588 | } |
| 2589 | |
Guido van Rossum | bef1417 | 2001-08-29 15:47:46 +0000 | [diff] [blame] | 2590 | /* Wimpy, slow approach to tp_new calls for subtypes of long: |
| 2591 | first create a regular long from whatever arguments we got, |
| 2592 | then allocate a subtype instance and initialize it from |
| 2593 | the regular long. The regular long is then thrown away. |
| 2594 | */ |
| 2595 | static PyObject * |
| 2596 | long_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds) |
| 2597 | { |
| 2598 | PyLongObject *tmp, *new; |
| 2599 | int i, n; |
| 2600 | |
| 2601 | assert(PyType_IsSubtype(type, &PyLong_Type)); |
| 2602 | tmp = (PyLongObject *)long_new(&PyLong_Type, args, kwds); |
| 2603 | if (tmp == NULL) |
| 2604 | return NULL; |
Tim Peters | 64b5ce3 | 2001-09-10 20:52:51 +0000 | [diff] [blame] | 2605 | assert(PyLong_CheckExact(tmp)); |
Guido van Rossum | bef1417 | 2001-08-29 15:47:46 +0000 | [diff] [blame] | 2606 | n = tmp->ob_size; |
| 2607 | if (n < 0) |
| 2608 | n = -n; |
| 2609 | new = (PyLongObject *)type->tp_alloc(type, n); |
| 2610 | if (new == NULL) |
| 2611 | return NULL; |
| 2612 | assert(PyLong_Check(new)); |
Guido van Rossum | 13228a6 | 2001-08-30 15:54:44 +0000 | [diff] [blame] | 2613 | new->ob_size = tmp->ob_size; |
Guido van Rossum | bef1417 | 2001-08-29 15:47:46 +0000 | [diff] [blame] | 2614 | for (i = 0; i < n; i++) |
| 2615 | new->ob_digit[i] = tmp->ob_digit[i]; |
| 2616 | Py_DECREF(tmp); |
| 2617 | return (PyObject *)new; |
| 2618 | } |
| 2619 | |
Martin v. Löwis | 14f8b4c | 2002-06-13 20:33:02 +0000 | [diff] [blame] | 2620 | PyDoc_STRVAR(long_doc, |
Tim Peters | 6d6c1a3 | 2001-08-02 04:15:00 +0000 | [diff] [blame] | 2621 | "long(x[, base]) -> integer\n\ |
| 2622 | \n\ |
| 2623 | Convert a string or number to a long integer, if possible. A floating\n\ |
| 2624 | point argument will be truncated towards zero (this does not include a\n\ |
| 2625 | string representation of a floating point number!) When converting a\n\ |
| 2626 | string, use the optional base. It is an error to supply a base when\n\ |
Martin v. Löwis | 14f8b4c | 2002-06-13 20:33:02 +0000 | [diff] [blame] | 2627 | converting a non-string."); |
Tim Peters | 6d6c1a3 | 2001-08-02 04:15:00 +0000 | [diff] [blame] | 2628 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2629 | static PyNumberMethods long_as_number = { |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2630 | (binaryfunc) long_add, /*nb_add*/ |
| 2631 | (binaryfunc) long_sub, /*nb_subtract*/ |
| 2632 | (binaryfunc) long_mul, /*nb_multiply*/ |
Guido van Rossum | 393661d | 2001-08-31 17:40:15 +0000 | [diff] [blame] | 2633 | (binaryfunc) long_classic_div, /*nb_divide*/ |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2634 | (binaryfunc) long_mod, /*nb_remainder*/ |
| 2635 | (binaryfunc) long_divmod, /*nb_divmod*/ |
| 2636 | (ternaryfunc) long_pow, /*nb_power*/ |
| 2637 | (unaryfunc) long_neg, /*nb_negative*/ |
| 2638 | (unaryfunc) long_pos, /*tp_positive*/ |
| 2639 | (unaryfunc) long_abs, /*tp_absolute*/ |
| 2640 | (inquiry) long_nonzero, /*tp_nonzero*/ |
| 2641 | (unaryfunc) long_invert, /*nb_invert*/ |
| 2642 | (binaryfunc) long_lshift, /*nb_lshift*/ |
| 2643 | (binaryfunc) long_rshift, /*nb_rshift*/ |
| 2644 | (binaryfunc) long_and, /*nb_and*/ |
| 2645 | (binaryfunc) long_xor, /*nb_xor*/ |
| 2646 | (binaryfunc) long_or, /*nb_or*/ |
Tim Peters | 9ace6bc | 2000-07-08 00:32:04 +0000 | [diff] [blame] | 2647 | (coercion) long_coerce, /*nb_coerce*/ |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2648 | (unaryfunc) long_int, /*nb_int*/ |
| 2649 | (unaryfunc) long_long, /*nb_long*/ |
| 2650 | (unaryfunc) long_float, /*nb_float*/ |
| 2651 | (unaryfunc) long_oct, /*nb_oct*/ |
| 2652 | (unaryfunc) long_hex, /*nb_hex*/ |
Guido van Rossum | 4668b00 | 2001-08-08 05:00:18 +0000 | [diff] [blame] | 2653 | 0, /* nb_inplace_add */ |
| 2654 | 0, /* nb_inplace_subtract */ |
| 2655 | 0, /* nb_inplace_multiply */ |
| 2656 | 0, /* nb_inplace_divide */ |
| 2657 | 0, /* nb_inplace_remainder */ |
| 2658 | 0, /* nb_inplace_power */ |
| 2659 | 0, /* nb_inplace_lshift */ |
| 2660 | 0, /* nb_inplace_rshift */ |
| 2661 | 0, /* nb_inplace_and */ |
| 2662 | 0, /* nb_inplace_xor */ |
| 2663 | 0, /* nb_inplace_or */ |
| 2664 | (binaryfunc)long_div, /* nb_floor_divide */ |
| 2665 | long_true_divide, /* nb_true_divide */ |
| 2666 | 0, /* nb_inplace_floor_divide */ |
| 2667 | 0, /* nb_inplace_true_divide */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2668 | }; |
| 2669 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2670 | PyTypeObject PyLong_Type = { |
| 2671 | PyObject_HEAD_INIT(&PyType_Type) |
Tim Peters | 6d6c1a3 | 2001-08-02 04:15:00 +0000 | [diff] [blame] | 2672 | 0, /* ob_size */ |
| 2673 | "long", /* tp_name */ |
| 2674 | sizeof(PyLongObject) - sizeof(digit), /* tp_basicsize */ |
| 2675 | sizeof(digit), /* tp_itemsize */ |
| 2676 | (destructor)long_dealloc, /* tp_dealloc */ |
| 2677 | 0, /* tp_print */ |
| 2678 | 0, /* tp_getattr */ |
| 2679 | 0, /* tp_setattr */ |
| 2680 | (cmpfunc)long_compare, /* tp_compare */ |
| 2681 | (reprfunc)long_repr, /* tp_repr */ |
| 2682 | &long_as_number, /* tp_as_number */ |
| 2683 | 0, /* tp_as_sequence */ |
| 2684 | 0, /* tp_as_mapping */ |
| 2685 | (hashfunc)long_hash, /* tp_hash */ |
| 2686 | 0, /* tp_call */ |
| 2687 | (reprfunc)long_str, /* tp_str */ |
| 2688 | PyObject_GenericGetAttr, /* tp_getattro */ |
| 2689 | 0, /* tp_setattro */ |
| 2690 | 0, /* tp_as_buffer */ |
Guido van Rossum | bef1417 | 2001-08-29 15:47:46 +0000 | [diff] [blame] | 2691 | Py_TPFLAGS_DEFAULT | Py_TPFLAGS_CHECKTYPES | |
| 2692 | Py_TPFLAGS_BASETYPE, /* tp_flags */ |
Tim Peters | 6d6c1a3 | 2001-08-02 04:15:00 +0000 | [diff] [blame] | 2693 | long_doc, /* tp_doc */ |
| 2694 | 0, /* tp_traverse */ |
| 2695 | 0, /* tp_clear */ |
| 2696 | 0, /* tp_richcompare */ |
| 2697 | 0, /* tp_weaklistoffset */ |
| 2698 | 0, /* tp_iter */ |
| 2699 | 0, /* tp_iternext */ |
| 2700 | 0, /* tp_methods */ |
| 2701 | 0, /* tp_members */ |
| 2702 | 0, /* tp_getset */ |
| 2703 | 0, /* tp_base */ |
| 2704 | 0, /* tp_dict */ |
| 2705 | 0, /* tp_descr_get */ |
| 2706 | 0, /* tp_descr_set */ |
| 2707 | 0, /* tp_dictoffset */ |
| 2708 | 0, /* tp_init */ |
| 2709 | 0, /* tp_alloc */ |
| 2710 | long_new, /* tp_new */ |
Neil Schemenauer | aa769ae | 2002-04-12 02:44:10 +0000 | [diff] [blame] | 2711 | PyObject_Del, /* tp_free */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2712 | }; |