Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1 | /*********************************************************** |
Guido van Rossum | fd71b9e | 2000-06-30 23:50:40 +0000 | [diff] [blame] | 2 | Copyright (c) 2000, BeOpen.com. |
| 3 | Copyright (c) 1995-2000, Corporation for National Research Initiatives. |
| 4 | Copyright (c) 1990-1995, Stichting Mathematisch Centrum. |
| 5 | All rights reserved. |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 6 | |
Guido van Rossum | fd71b9e | 2000-06-30 23:50:40 +0000 | [diff] [blame] | 7 | See the file "Misc/COPYRIGHT" for information on usage and |
| 8 | redistribution of this file, and for a DISCLAIMER OF ALL WARRANTIES. |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 9 | ******************************************************************/ |
| 10 | |
| 11 | /* Long (arbitrary precision) integer object implementation */ |
| 12 | |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 13 | /* XXX The functional organization of this file is terrible */ |
| 14 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 15 | #include "Python.h" |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 16 | #include "longintrepr.h" |
Guido van Rossum | 687ec18 | 1995-03-04 22:43:47 +0000 | [diff] [blame] | 17 | #include "mymath.h" |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 18 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 19 | #include <assert.h> |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 20 | #include <ctype.h> |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 21 | |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 22 | #define ABS(x) ((x) < 0 ? -(x) : (x)) |
| 23 | |
| 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); |
| 28 | static PyLongObject *divrem1(PyLongObject *, wdigit, digit *); |
| 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 | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 31 | static int ticker; /* XXX Could be shared with ceval? */ |
| 32 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 33 | #define SIGCHECK(PyTryBlock) \ |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 34 | if (--ticker < 0) { \ |
| 35 | ticker = 100; \ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 36 | if (PyErr_CheckSignals()) { PyTryBlock; } \ |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 37 | } |
| 38 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 39 | /* Normalize (remove leading zeros from) a long int object. |
| 40 | Doesn't attempt to free the storage--in most cases, due to the nature |
| 41 | of the algorithms used, this could save at most be one word anyway. */ |
| 42 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 43 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 44 | long_normalize(register PyLongObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 45 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 46 | int j = ABS(v->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 47 | register int i = j; |
| 48 | |
| 49 | while (i > 0 && v->ob_digit[i-1] == 0) |
| 50 | --i; |
| 51 | if (i != j) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 52 | v->ob_size = (v->ob_size < 0) ? -(i) : i; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 53 | return v; |
| 54 | } |
| 55 | |
| 56 | /* Allocate a new long int object with size digits. |
| 57 | Return NULL and set exception if we run out of memory. */ |
| 58 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 59 | PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 60 | _PyLong_New(int size) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 61 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 62 | return PyObject_NEW_VAR(PyLongObject, &PyLong_Type, size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 63 | } |
| 64 | |
| 65 | /* Create a new long int object from a C long int */ |
| 66 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 67 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 68 | PyLong_FromLong(long ival) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 69 | { |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 70 | /* Assume a C long fits in at most 5 'digits' */ |
| 71 | /* Works on both 32- and 64-bit machines */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 72 | PyLongObject *v = _PyLong_New(5); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 73 | if (v != NULL) { |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 74 | unsigned long t = ival; |
| 75 | int i; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 76 | if (ival < 0) { |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 77 | t = -ival; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 78 | v->ob_size = -(v->ob_size); |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 79 | } |
| 80 | for (i = 0; i < 5; i++) { |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 81 | v->ob_digit[i] = (digit) (t & MASK); |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 82 | t >>= SHIFT; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 83 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 84 | v = long_normalize(v); |
| 85 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 86 | return (PyObject *)v; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 87 | } |
| 88 | |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 89 | /* Create a new long int object from a C unsigned long int */ |
| 90 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 91 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 92 | PyLong_FromUnsignedLong(unsigned long ival) |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 93 | { |
| 94 | /* Assume a C long fits in at most 5 'digits' */ |
| 95 | /* Works on both 32- and 64-bit machines */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 96 | PyLongObject *v = _PyLong_New(5); |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 97 | if (v != NULL) { |
| 98 | unsigned long t = ival; |
| 99 | int i; |
| 100 | for (i = 0; i < 5; i++) { |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 101 | v->ob_digit[i] = (digit) (t & MASK); |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 102 | t >>= SHIFT; |
| 103 | } |
| 104 | v = long_normalize(v); |
| 105 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 106 | return (PyObject *)v; |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 107 | } |
| 108 | |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 109 | /* Create a new long int object from a C double */ |
| 110 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 111 | PyObject * |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 112 | PyLong_FromDouble(double dval) |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 113 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 114 | PyLongObject *v; |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 115 | double frac; |
| 116 | int i, ndig, expo, neg; |
| 117 | neg = 0; |
Guido van Rossum | 1a23c24 | 1999-09-27 17:11:52 +0000 | [diff] [blame] | 118 | if (dval && dval * 0.5 == dval) { |
| 119 | PyErr_SetString(PyExc_OverflowError, |
| 120 | "cannot convert float infinity to long"); |
| 121 | return NULL; |
| 122 | } |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 123 | if (dval < 0.0) { |
| 124 | neg = 1; |
| 125 | dval = -dval; |
| 126 | } |
| 127 | frac = frexp(dval, &expo); /* dval = frac*2**expo; 0.0 <= frac < 1.0 */ |
| 128 | if (expo <= 0) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 129 | return PyLong_FromLong(0L); |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 130 | ndig = (expo-1) / SHIFT + 1; /* Number of 'digits' in result */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 131 | v = _PyLong_New(ndig); |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 132 | if (v == NULL) |
| 133 | return NULL; |
| 134 | frac = ldexp(frac, (expo-1) % SHIFT + 1); |
| 135 | for (i = ndig; --i >= 0; ) { |
| 136 | long bits = (long)frac; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 137 | v->ob_digit[i] = (digit) bits; |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 138 | frac = frac - (double)bits; |
| 139 | frac = ldexp(frac, SHIFT); |
| 140 | } |
| 141 | if (neg) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 142 | v->ob_size = -(v->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 143 | return (PyObject *)v; |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 144 | } |
| 145 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 146 | /* Get a C long int from a long int object. |
| 147 | Returns -1 and sets an error condition if overflow occurs. */ |
| 148 | |
| 149 | long |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 150 | PyLong_AsLong(PyObject *vv) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 151 | { |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 152 | /* This version by Tim Peters */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 153 | register PyLongObject *v; |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 154 | unsigned long x, prev; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 155 | int i, sign; |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 156 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 157 | if (vv == NULL || !PyLong_Check(vv)) { |
| 158 | PyErr_BadInternalCall(); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 159 | return -1; |
| 160 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 161 | v = (PyLongObject *)vv; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 162 | i = v->ob_size; |
| 163 | sign = 1; |
| 164 | x = 0; |
| 165 | if (i < 0) { |
| 166 | sign = -1; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 167 | i = -(i); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 168 | } |
| 169 | while (--i >= 0) { |
| 170 | prev = x; |
| 171 | x = (x << SHIFT) + v->ob_digit[i]; |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 172 | if ((x >> SHIFT) != prev) |
| 173 | goto overflow; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 174 | } |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 175 | /* Haven't lost any bits, but if the sign bit is set we're in |
| 176 | * trouble *unless* this is the min negative number. So, |
| 177 | * trouble iff sign bit set && (positive || some bit set other |
| 178 | * than the sign bit). |
| 179 | */ |
| 180 | if ((long)x < 0 && (sign > 0 || (x << 1) != 0)) |
| 181 | goto overflow; |
| 182 | return (long)x * sign; |
| 183 | |
| 184 | overflow: |
| 185 | PyErr_SetString(PyExc_OverflowError, |
| 186 | "long int too long to convert"); |
| 187 | return -1; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 188 | } |
| 189 | |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 190 | /* Get a C long int from a long int object. |
| 191 | Returns -1 and sets an error condition if overflow occurs. */ |
| 192 | |
| 193 | unsigned long |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 194 | PyLong_AsUnsignedLong(PyObject *vv) |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 195 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 196 | register PyLongObject *v; |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 197 | unsigned long x, prev; |
| 198 | int i; |
| 199 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 200 | if (vv == NULL || !PyLong_Check(vv)) { |
| 201 | PyErr_BadInternalCall(); |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 202 | return (unsigned long) -1; |
| 203 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 204 | v = (PyLongObject *)vv; |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 205 | i = v->ob_size; |
| 206 | x = 0; |
| 207 | if (i < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 208 | PyErr_SetString(PyExc_OverflowError, |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 209 | "can't convert negative value to unsigned long"); |
| 210 | return (unsigned long) -1; |
| 211 | } |
| 212 | while (--i >= 0) { |
| 213 | prev = x; |
| 214 | x = (x << SHIFT) + v->ob_digit[i]; |
| 215 | if ((x >> SHIFT) != prev) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 216 | PyErr_SetString(PyExc_OverflowError, |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 217 | "long int too long to convert"); |
| 218 | return (unsigned long) -1; |
| 219 | } |
| 220 | } |
| 221 | return x; |
| 222 | } |
| 223 | |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 224 | /* Get a C double from a long int object. */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 225 | |
| 226 | double |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 227 | PyLong_AsDouble(PyObject *vv) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 228 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 229 | register PyLongObject *v; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 230 | double x; |
| 231 | double multiplier = (double) (1L << SHIFT); |
| 232 | int i, sign; |
| 233 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 234 | if (vv == NULL || !PyLong_Check(vv)) { |
| 235 | PyErr_BadInternalCall(); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 236 | return -1; |
| 237 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 238 | v = (PyLongObject *)vv; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 239 | i = v->ob_size; |
| 240 | sign = 1; |
| 241 | x = 0.0; |
| 242 | if (i < 0) { |
| 243 | sign = -1; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 244 | i = -(i); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 245 | } |
| 246 | while (--i >= 0) { |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 247 | x = x*multiplier + (double)v->ob_digit[i]; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 248 | } |
| 249 | return x * sign; |
| 250 | } |
| 251 | |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 252 | /* Create a new long (or int) object from a C pointer */ |
| 253 | |
| 254 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 255 | PyLong_FromVoidPtr(void *p) |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 256 | { |
| 257 | #if SIZEOF_VOID_P == SIZEOF_LONG |
| 258 | return PyInt_FromLong((long)p); |
| 259 | #else |
| 260 | /* optimize null pointers */ |
| 261 | if ( p == NULL ) |
| 262 | return PyInt_FromLong(0); |
| 263 | |
| 264 | /* we can assume that HAVE_LONG_LONG is true. if not, then the |
| 265 | configuration process should have bailed (having big pointers |
| 266 | without long longs seems non-sensical) */ |
| 267 | return PyLong_FromLongLong((LONG_LONG)p); |
| 268 | #endif /* SIZEOF_VOID_P == SIZEOF_LONG */ |
| 269 | } |
| 270 | |
| 271 | /* Get a C pointer from a long object (or an int object in some cases) */ |
| 272 | |
| 273 | void * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 274 | PyLong_AsVoidPtr(PyObject *vv) |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 275 | { |
| 276 | /* This function will allow int or long objects. If vv is neither, |
| 277 | then the PyLong_AsLong*() functions will raise the exception: |
| 278 | PyExc_SystemError, "bad argument to internal function" |
| 279 | */ |
| 280 | |
| 281 | #if SIZEOF_VOID_P == SIZEOF_LONG |
| 282 | long x; |
| 283 | |
| 284 | if ( PyInt_Check(vv) ) |
| 285 | x = PyInt_AS_LONG(vv); |
| 286 | else |
| 287 | x = PyLong_AsLong(vv); |
| 288 | #else |
| 289 | /* we can assume that HAVE_LONG_LONG is true. if not, then the |
| 290 | configuration process should have bailed (having big pointers |
| 291 | without long longs seems non-sensical) */ |
| 292 | LONG_LONG x; |
| 293 | |
| 294 | if ( PyInt_Check(vv) ) |
| 295 | x = PyInt_AS_LONG(vv); |
| 296 | else |
| 297 | x = PyLong_AsLongLong(vv); |
| 298 | #endif /* SIZEOF_VOID_P == SIZEOF_LONG */ |
| 299 | |
| 300 | if (x == -1 && PyErr_Occurred()) |
| 301 | return NULL; |
| 302 | return (void *)x; |
| 303 | } |
| 304 | |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 305 | #ifdef HAVE_LONG_LONG |
| 306 | /* |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 307 | * LONG_LONG support by Chris Herborth (chrish@qnx.com) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 308 | * |
| 309 | * For better or worse :-), I tried to follow the coding style already |
| 310 | * here. |
| 311 | */ |
| 312 | |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 313 | /* 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] | 314 | |
| 315 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 316 | PyLong_FromLongLong(LONG_LONG ival) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 317 | { |
| 318 | #if SIZEOF_LONG_LONG == SIZEOF_LONG |
| 319 | /* In case the compiler is faking it. */ |
| 320 | return PyLong_FromLong( (long)ival ); |
| 321 | #else |
Fred Drake | 4c7fdfc | 2000-06-01 18:37:36 +0000 | [diff] [blame] | 322 | if ((LONG_LONG)LONG_MIN <= ival && ival <= (LONG_LONG)LONG_MAX) { |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 323 | return PyLong_FromLong( (long)ival ); |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 324 | } |
Fred Drake | 4c7fdfc | 2000-06-01 18:37:36 +0000 | [diff] [blame] | 325 | else if (0 <= ival && ival <= (unsigned LONG_LONG)ULONG_MAX) { |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 326 | return PyLong_FromUnsignedLong( (unsigned long)ival ); |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 327 | } |
| 328 | else { |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 329 | /* Assume a C LONG_LONG fits in at most 10 'digits'. |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 330 | * Should be OK if we're assuming long fits in 5. |
| 331 | */ |
| 332 | PyLongObject *v = _PyLong_New(10); |
| 333 | |
| 334 | if (v != NULL) { |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 335 | unsigned LONG_LONG t = ival; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 336 | int i; |
| 337 | if (ival < 0) { |
| 338 | t = -ival; |
| 339 | v->ob_size = -(v->ob_size); |
| 340 | } |
| 341 | |
| 342 | for (i = 0; i < 10; i++) { |
| 343 | v->ob_digit[i] = (digit) (t & MASK); |
| 344 | t >>= SHIFT; |
| 345 | } |
| 346 | |
| 347 | v = long_normalize(v); |
| 348 | } |
| 349 | |
| 350 | return (PyObject *)v; |
| 351 | } |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 352 | #endif |
| 353 | } |
| 354 | |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 355 | /* Create a new long int object from a C unsigned LONG_LONG int */ |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 356 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 357 | PyLong_FromUnsignedLongLong(unsigned LONG_LONG ival) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 358 | { |
| 359 | #if SIZEOF_LONG_LONG == SIZEOF_LONG |
| 360 | /* In case the compiler is faking it. */ |
| 361 | return PyLong_FromUnsignedLong( (unsigned long)ival ); |
| 362 | #else |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 363 | if( ival <= (unsigned LONG_LONG)ULONG_MAX ) { |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 364 | return PyLong_FromUnsignedLong( (unsigned long)ival ); |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 365 | } |
| 366 | else { |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 367 | /* Assume a C long fits in at most 10 'digits'. */ |
| 368 | PyLongObject *v = _PyLong_New(10); |
| 369 | |
| 370 | if (v != NULL) { |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 371 | unsigned LONG_LONG t = ival; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 372 | int i; |
| 373 | for (i = 0; i < 10; i++) { |
| 374 | v->ob_digit[i] = (digit) (t & MASK); |
| 375 | t >>= SHIFT; |
| 376 | } |
| 377 | |
| 378 | v = long_normalize(v); |
| 379 | } |
| 380 | |
| 381 | return (PyObject *)v; |
| 382 | } |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 383 | #endif |
| 384 | } |
| 385 | |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 386 | /* Get a C LONG_LONG int from a long int object. |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 387 | Returns -1 and sets an error condition if overflow occurs. */ |
| 388 | |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 389 | LONG_LONG |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 390 | PyLong_AsLongLong(PyObject *vv) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 391 | { |
| 392 | #if SIZEOF_LONG_LONG == SIZEOF_LONG |
| 393 | /* In case the compiler is faking it. */ |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 394 | return (LONG_LONG)PyLong_AsLong( vv ); |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 395 | #else |
| 396 | register PyLongObject *v; |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 397 | LONG_LONG x, prev; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 398 | int i, sign; |
| 399 | |
| 400 | if (vv == NULL || !PyLong_Check(vv)) { |
| 401 | PyErr_BadInternalCall(); |
| 402 | return -1; |
| 403 | } |
| 404 | |
| 405 | v = (PyLongObject *)vv; |
| 406 | i = v->ob_size; |
| 407 | sign = 1; |
| 408 | x = 0; |
| 409 | |
| 410 | if (i < 0) { |
| 411 | sign = -1; |
| 412 | i = -(i); |
| 413 | } |
| 414 | |
| 415 | while (--i >= 0) { |
| 416 | prev = x; |
| 417 | x = (x << SHIFT) + v->ob_digit[i]; |
| 418 | if ((x >> SHIFT) != prev) { |
| 419 | PyErr_SetString(PyExc_OverflowError, |
| 420 | "long int too long to convert"); |
| 421 | return -1; |
| 422 | } |
| 423 | } |
| 424 | |
| 425 | return x * sign; |
| 426 | #endif |
| 427 | } |
| 428 | |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 429 | unsigned LONG_LONG |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 430 | PyLong_AsUnsignedLongLong(PyObject *vv) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 431 | { |
| 432 | #if SIZEOF_LONG_LONG == 4 |
| 433 | /* In case the compiler is faking it. */ |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 434 | return (unsigned LONG_LONG)PyLong_AsUnsignedLong( vv ); |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 435 | #else |
| 436 | register PyLongObject *v; |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 437 | unsigned LONG_LONG x, prev; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 438 | int i; |
| 439 | |
| 440 | if (vv == NULL || !PyLong_Check(vv)) { |
| 441 | PyErr_BadInternalCall(); |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 442 | return (unsigned LONG_LONG) -1; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 443 | } |
| 444 | |
| 445 | v = (PyLongObject *)vv; |
| 446 | i = v->ob_size; |
| 447 | x = 0; |
| 448 | |
| 449 | if (i < 0) { |
| 450 | PyErr_SetString(PyExc_OverflowError, |
| 451 | "can't convert negative value to unsigned long"); |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 452 | return (unsigned LONG_LONG) -1; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 453 | } |
| 454 | |
| 455 | while (--i >= 0) { |
| 456 | prev = x; |
| 457 | x = (x << SHIFT) + v->ob_digit[i]; |
| 458 | if ((x >> SHIFT) != prev) { |
| 459 | PyErr_SetString(PyExc_OverflowError, |
| 460 | "long int too long to convert"); |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 461 | return (unsigned LONG_LONG) -1; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 462 | } |
| 463 | } |
| 464 | |
| 465 | return x; |
| 466 | #endif |
| 467 | } |
| 468 | #endif /* HAVE_LONG_LONG */ |
| 469 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 470 | /* Multiply by a single digit, ignoring the sign. */ |
| 471 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 472 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 473 | mul1(PyLongObject *a, wdigit n) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 474 | { |
| 475 | return muladd1(a, n, (digit)0); |
| 476 | } |
| 477 | |
| 478 | /* Multiply by a single digit and add a single digit, ignoring the sign. */ |
| 479 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 480 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 481 | muladd1(PyLongObject *a, wdigit n, wdigit extra) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 482 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 483 | int size_a = ABS(a->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 484 | PyLongObject *z = _PyLong_New(size_a+1); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 485 | twodigits carry = extra; |
| 486 | int i; |
| 487 | |
| 488 | if (z == NULL) |
| 489 | return NULL; |
| 490 | for (i = 0; i < size_a; ++i) { |
| 491 | carry += (twodigits)a->ob_digit[i] * n; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 492 | z->ob_digit[i] = (digit) (carry & MASK); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 493 | carry >>= SHIFT; |
| 494 | } |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 495 | z->ob_digit[i] = (digit) carry; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 496 | return long_normalize(z); |
| 497 | } |
| 498 | |
| 499 | /* Divide a long integer by a digit, returning both the quotient |
| 500 | (as function result) and the remainder (through *prem). |
| 501 | The sign of a is ignored; n should not be zero. */ |
| 502 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 503 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 504 | divrem1(PyLongObject *a, wdigit n, digit *prem) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 505 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 506 | int size = ABS(a->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 507 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 508 | int i; |
| 509 | twodigits rem = 0; |
| 510 | |
| 511 | assert(n > 0 && n <= MASK); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 512 | z = _PyLong_New(size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 513 | if (z == NULL) |
| 514 | return NULL; |
| 515 | for (i = size; --i >= 0; ) { |
| 516 | rem = (rem << SHIFT) + a->ob_digit[i]; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 517 | z->ob_digit[i] = (digit) (rem/n); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 518 | rem %= n; |
| 519 | } |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 520 | *prem = (digit) rem; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 521 | return long_normalize(z); |
| 522 | } |
| 523 | |
| 524 | /* 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] | 525 | Return a string object. |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 526 | 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] | 527 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 528 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 529 | long_format(PyObject *aa, int base, int addL) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 530 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 531 | register PyLongObject *a = (PyLongObject *)aa; |
| 532 | PyStringObject *str; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 533 | int i; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 534 | int size_a = ABS(a->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 535 | char *p; |
| 536 | int bits; |
| 537 | char sign = '\0'; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 538 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 539 | if (a == NULL || !PyLong_Check(a)) { |
| 540 | PyErr_BadInternalCall(); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 541 | return NULL; |
| 542 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 543 | assert(base >= 2 && base <= 36); |
| 544 | |
| 545 | /* Compute a rough upper bound for the length of the string */ |
| 546 | i = base; |
| 547 | bits = 0; |
| 548 | while (i > 1) { |
| 549 | ++bits; |
| 550 | i >>= 1; |
| 551 | } |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 552 | i = 5 + (addL ? 1 : 0) + (size_a*SHIFT + bits-1) / bits; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 553 | str = (PyStringObject *) PyString_FromStringAndSize((char *)0, i); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 554 | if (str == NULL) |
| 555 | return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 556 | p = PyString_AS_STRING(str) + i; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 557 | *p = '\0'; |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 558 | if (addL) |
| 559 | *--p = 'L'; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 560 | if (a->ob_size < 0) |
| 561 | sign = '-'; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 562 | |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 563 | if (a->ob_size == 0) { |
| 564 | *--p = '0'; |
| 565 | } |
| 566 | else if ((base & (base - 1)) == 0) { |
| 567 | /* JRH: special case for power-of-2 bases */ |
| 568 | twodigits temp = a->ob_digit[0]; |
| 569 | int bitsleft = SHIFT; |
| 570 | int rem; |
| 571 | int last = abs(a->ob_size); |
| 572 | int basebits = 1; |
| 573 | i = base; |
| 574 | while ((i >>= 1) > 1) ++basebits; |
| 575 | |
| 576 | i = 0; |
| 577 | for (;;) { |
| 578 | while (bitsleft >= basebits) { |
| 579 | if ((temp == 0) && (i >= last - 1)) break; |
| 580 | rem = temp & (base - 1); |
| 581 | if (rem < 10) |
| 582 | rem += '0'; |
| 583 | else |
| 584 | rem += 'A' - 10; |
| 585 | assert(p > PyString_AS_STRING(str)); |
| 586 | *--p = (char) rem; |
| 587 | bitsleft -= basebits; |
| 588 | temp >>= basebits; |
| 589 | } |
| 590 | if (++i >= last) { |
| 591 | if (temp == 0) break; |
| 592 | bitsleft = 99; |
| 593 | /* loop again to pick up final digits */ |
| 594 | } |
| 595 | else { |
| 596 | temp = (a->ob_digit[i] << bitsleft) | temp; |
| 597 | bitsleft += SHIFT; |
| 598 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 599 | } |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 600 | } |
| 601 | else { |
| 602 | Py_INCREF(a); |
| 603 | do { |
| 604 | digit rem; |
| 605 | PyLongObject *temp = divrem1(a, (digit)base, &rem); |
| 606 | if (temp == NULL) { |
| 607 | Py_DECREF(a); |
| 608 | Py_DECREF(str); |
| 609 | return NULL; |
| 610 | } |
| 611 | if (rem < 10) |
| 612 | rem += '0'; |
| 613 | else |
| 614 | rem += 'A'-10; |
| 615 | assert(p > PyString_AS_STRING(str)); |
| 616 | *--p = (char) rem; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 617 | Py_DECREF(a); |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 618 | a = temp; |
| 619 | SIGCHECK({ |
| 620 | Py_DECREF(a); |
| 621 | Py_DECREF(str); |
| 622 | return NULL; |
| 623 | }) |
| 624 | } while (ABS(a->ob_size) != 0); |
| 625 | Py_DECREF(a); |
| 626 | } |
| 627 | |
Guido van Rossum | 2c47542 | 1992-08-14 15:13:07 +0000 | [diff] [blame] | 628 | if (base == 8) { |
| 629 | if (size_a != 0) |
| 630 | *--p = '0'; |
| 631 | } |
Guido van Rossum | 3d3037d | 1991-10-24 14:55:57 +0000 | [diff] [blame] | 632 | else if (base == 16) { |
| 633 | *--p = 'x'; |
| 634 | *--p = '0'; |
| 635 | } |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 636 | else if (base != 10) { |
| 637 | *--p = '#'; |
| 638 | *--p = '0' + base%10; |
| 639 | if (base > 10) |
| 640 | *--p = '0' + base/10; |
| 641 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 642 | if (sign) |
| 643 | *--p = sign; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 644 | if (p != PyString_AS_STRING(str)) { |
| 645 | char *q = PyString_AS_STRING(str); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 646 | assert(p > q); |
| 647 | do { |
| 648 | } while ((*q++ = *p++) != '\0'); |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 649 | q--; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 650 | _PyString_Resize((PyObject **)&str, |
| 651 | (int) (q - PyString_AS_STRING(str))); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 652 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 653 | return (PyObject *)str; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 654 | } |
| 655 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 656 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 657 | PyLong_FromString(char *str, char **pend, int base) |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 658 | { |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 659 | int sign = 1; |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 660 | char *start, *orig_str = str; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 661 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 662 | |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 663 | if ((base != 0 && base < 2) || base > 36) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 664 | PyErr_SetString(PyExc_ValueError, |
| 665 | "invalid base for long literal"); |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 666 | return NULL; |
| 667 | } |
Guido van Rossum | 9fa2c11 | 1995-02-10 17:00:37 +0000 | [diff] [blame] | 668 | while (*str != '\0' && isspace(Py_CHARMASK(*str))) |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 669 | str++; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 670 | if (*str == '+') |
| 671 | ++str; |
| 672 | else if (*str == '-') { |
| 673 | ++str; |
| 674 | sign = -1; |
| 675 | } |
Guido van Rossum | 9fa2c11 | 1995-02-10 17:00:37 +0000 | [diff] [blame] | 676 | while (*str != '\0' && isspace(Py_CHARMASK(*str))) |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 677 | str++; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 678 | if (base == 0) { |
| 679 | if (str[0] != '0') |
| 680 | base = 10; |
| 681 | else if (str[1] == 'x' || str[1] == 'X') |
| 682 | base = 16; |
| 683 | else |
| 684 | base = 8; |
| 685 | } |
| 686 | if (base == 16 && str[0] == '0' && (str[1] == 'x' || str[1] == 'X')) |
| 687 | str += 2; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 688 | z = _PyLong_New(0); |
Guido van Rossum | e676297 | 1998-06-22 03:54:46 +0000 | [diff] [blame] | 689 | start = str; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 690 | for ( ; z != NULL; ++str) { |
| 691 | int k = -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 692 | PyLongObject *temp; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 693 | |
| 694 | if (*str <= '9') |
| 695 | k = *str - '0'; |
| 696 | else if (*str >= 'a') |
| 697 | k = *str - 'a' + 10; |
| 698 | else if (*str >= 'A') |
| 699 | k = *str - 'A' + 10; |
| 700 | if (k < 0 || k >= base) |
| 701 | break; |
| 702 | temp = muladd1(z, (digit)base, (digit)k); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 703 | Py_DECREF(z); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 704 | z = temp; |
| 705 | } |
Guido van Rossum | ac6a37a | 1998-08-04 15:04:06 +0000 | [diff] [blame] | 706 | if (z == NULL) |
| 707 | return NULL; |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 708 | if (str == start) |
| 709 | goto onError; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 710 | if (sign < 0 && z != NULL && z->ob_size != 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 711 | z->ob_size = -(z->ob_size); |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 712 | if (*str == 'L' || *str == 'l') |
| 713 | str++; |
| 714 | while (*str && isspace(Py_CHARMASK(*str))) |
| 715 | str++; |
| 716 | if (*str != '\0') |
| 717 | goto onError; |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 718 | if (pend) |
| 719 | *pend = str; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 720 | return (PyObject *) z; |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 721 | |
| 722 | onError: |
| 723 | PyErr_Format(PyExc_ValueError, |
| 724 | "invalid literal for long(): %.200s", orig_str); |
| 725 | Py_XDECREF(z); |
| 726 | return NULL; |
| 727 | } |
| 728 | |
| 729 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 730 | PyLong_FromUnicode(Py_UNICODE *u, int length, int base) |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 731 | { |
| 732 | char buffer[256]; |
| 733 | |
| 734 | if (length >= sizeof(buffer)) { |
| 735 | PyErr_SetString(PyExc_ValueError, |
| 736 | "long() literal too large to convert"); |
| 737 | return NULL; |
| 738 | } |
| 739 | if (PyUnicode_EncodeDecimal(u, length, buffer, NULL)) |
| 740 | return NULL; |
| 741 | |
| 742 | return PyLong_FromString(buffer, NULL, base); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 743 | } |
| 744 | |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 745 | /* forward */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 746 | static PyLongObject *x_divrem |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 747 | (PyLongObject *, PyLongObject *, PyLongObject **); |
| 748 | static PyObject *long_pos(PyLongObject *); |
| 749 | static int long_divrem(PyLongObject *, PyLongObject *, |
| 750 | PyLongObject **, PyLongObject **); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 751 | |
| 752 | /* Long division with remainder, top-level routine */ |
| 753 | |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 754 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 755 | long_divrem(PyLongObject *a, PyLongObject *b, |
| 756 | PyLongObject **pdiv, PyLongObject **prem) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 757 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 758 | 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] | 759 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 760 | |
| 761 | if (size_b == 0) { |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 762 | PyErr_SetString(PyExc_ZeroDivisionError, |
| 763 | "long division or modulo"); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 764 | return -1; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 765 | } |
| 766 | if (size_a < size_b || |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 767 | (size_a == size_b && |
| 768 | 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] | 769 | /* |a| < |b|. */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 770 | *pdiv = _PyLong_New(0); |
| 771 | Py_INCREF(a); |
| 772 | *prem = (PyLongObject *) a; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 773 | return 0; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 774 | } |
| 775 | if (size_b == 1) { |
| 776 | digit rem = 0; |
| 777 | z = divrem1(a, b->ob_digit[0], &rem); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 778 | if (z == NULL) |
| 779 | return -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 780 | *prem = (PyLongObject *) PyLong_FromLong((long)rem); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 781 | } |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 782 | else { |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 783 | z = x_divrem(a, b, prem); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 784 | if (z == NULL) |
| 785 | return -1; |
| 786 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 787 | /* Set the signs. |
| 788 | The quotient z has the sign of a*b; |
| 789 | the remainder r has the sign of a, |
| 790 | so a = b*z + r. */ |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 791 | if ((a->ob_size < 0) != (b->ob_size < 0)) |
| 792 | z->ob_size = -(z->ob_size); |
| 793 | if (a->ob_size < 0 && (*prem)->ob_size != 0) |
| 794 | (*prem)->ob_size = -((*prem)->ob_size); |
| 795 | *pdiv = z; |
| 796 | return 0; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 797 | } |
| 798 | |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 799 | /* Unsigned long division with remainder -- the algorithm */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 800 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 801 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 802 | x_divrem(PyLongObject *v1, PyLongObject *w1, PyLongObject **prem) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 803 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 804 | 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] | 805 | 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] | 806 | PyLongObject *v = mul1(v1, d); |
| 807 | PyLongObject *w = mul1(w1, d); |
| 808 | PyLongObject *a; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 809 | int j, k; |
| 810 | |
| 811 | if (v == NULL || w == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 812 | Py_XDECREF(v); |
| 813 | Py_XDECREF(w); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 814 | return NULL; |
| 815 | } |
| 816 | |
| 817 | 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] | 818 | 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] | 819 | assert(size_w == ABS(w->ob_size)); /* That's how d was calculated */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 820 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 821 | size_v = ABS(v->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 822 | a = _PyLong_New(size_v - size_w + 1); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 823 | |
| 824 | for (j = size_v, k = a->ob_size-1; a != NULL && k >= 0; --j, --k) { |
| 825 | digit vj = (j >= size_v) ? 0 : v->ob_digit[j]; |
| 826 | twodigits q; |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 827 | stwodigits carry = 0; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 828 | int i; |
| 829 | |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 830 | SIGCHECK({ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 831 | Py_DECREF(a); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 832 | a = NULL; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 833 | break; |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 834 | }) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 835 | if (vj == w->ob_digit[size_w-1]) |
| 836 | q = MASK; |
| 837 | else |
| 838 | q = (((twodigits)vj << SHIFT) + v->ob_digit[j-1]) / |
| 839 | w->ob_digit[size_w-1]; |
| 840 | |
| 841 | while (w->ob_digit[size_w-2]*q > |
| 842 | (( |
| 843 | ((twodigits)vj << SHIFT) |
| 844 | + v->ob_digit[j-1] |
| 845 | - q*w->ob_digit[size_w-1] |
| 846 | ) << SHIFT) |
| 847 | + v->ob_digit[j-2]) |
| 848 | --q; |
| 849 | |
| 850 | for (i = 0; i < size_w && i+k < size_v; ++i) { |
| 851 | twodigits z = w->ob_digit[i] * q; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 852 | digit zz = (digit) (z >> SHIFT); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 853 | carry += v->ob_digit[i+k] - z |
| 854 | + ((twodigits)zz << SHIFT); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 855 | v->ob_digit[i+k] = carry & MASK; |
| 856 | carry = (carry >> SHIFT) - zz; |
| 857 | } |
| 858 | |
| 859 | if (i+k < size_v) { |
| 860 | carry += v->ob_digit[i+k]; |
| 861 | v->ob_digit[i+k] = 0; |
| 862 | } |
| 863 | |
| 864 | if (carry == 0) |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 865 | a->ob_digit[k] = (digit) q; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 866 | else { |
| 867 | assert(carry == -1); |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 868 | a->ob_digit[k] = (digit) q-1; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 869 | carry = 0; |
| 870 | for (i = 0; i < size_w && i+k < size_v; ++i) { |
| 871 | carry += v->ob_digit[i+k] + w->ob_digit[i]; |
| 872 | v->ob_digit[i+k] = carry & MASK; |
| 873 | carry >>= SHIFT; |
| 874 | } |
| 875 | } |
| 876 | } /* for j, k */ |
| 877 | |
Guido van Rossum | c206c76 | 1995-01-10 15:23:19 +0000 | [diff] [blame] | 878 | if (a == NULL) |
| 879 | *prem = NULL; |
| 880 | else { |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 881 | a = long_normalize(a); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 882 | *prem = divrem1(v, d, &d); |
| 883 | /* d receives the (unused) remainder */ |
| 884 | if (*prem == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 885 | Py_DECREF(a); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 886 | a = NULL; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 887 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 888 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 889 | Py_DECREF(v); |
| 890 | Py_DECREF(w); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 891 | return a; |
| 892 | } |
| 893 | |
| 894 | /* Methods */ |
| 895 | |
| 896 | static void |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 897 | long_dealloc(PyObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 898 | { |
Guido van Rossum | b18618d | 2000-05-03 23:44:39 +0000 | [diff] [blame] | 899 | PyObject_DEL(v); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 900 | } |
| 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_repr(PyObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 904 | { |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 905 | return long_format(v, 10, 1); |
| 906 | } |
| 907 | |
| 908 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 909 | long_str(PyObject *v) |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 910 | { |
| 911 | return long_format(v, 10, 0); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 912 | } |
| 913 | |
| 914 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 915 | long_compare(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 916 | { |
| 917 | int sign; |
| 918 | |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 919 | if (a->ob_size != b->ob_size) { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 920 | if (ABS(a->ob_size) == 0 && ABS(b->ob_size) == 0) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 921 | sign = 0; |
| 922 | else |
| 923 | sign = a->ob_size - b->ob_size; |
| 924 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 925 | else { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 926 | int i = ABS(a->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 927 | while (--i >= 0 && a->ob_digit[i] == b->ob_digit[i]) |
| 928 | ; |
| 929 | if (i < 0) |
| 930 | sign = 0; |
Guido van Rossum | 0b0db8e | 1993-01-21 16:07:51 +0000 | [diff] [blame] | 931 | else { |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 932 | sign = (int)a->ob_digit[i] - (int)b->ob_digit[i]; |
Guido van Rossum | 0b0db8e | 1993-01-21 16:07:51 +0000 | [diff] [blame] | 933 | if (a->ob_size < 0) |
| 934 | sign = -sign; |
| 935 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 936 | } |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 937 | return sign < 0 ? -1 : sign > 0 ? 1 : 0; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 938 | } |
| 939 | |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 940 | static long |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 941 | long_hash(PyLongObject *v) |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 942 | { |
| 943 | long x; |
| 944 | int i, sign; |
| 945 | |
| 946 | /* This is designed so that Python ints and longs with the |
| 947 | same value hash to the same value, otherwise comparisons |
| 948 | of mapping keys will turn out weird */ |
| 949 | i = v->ob_size; |
| 950 | sign = 1; |
| 951 | x = 0; |
| 952 | if (i < 0) { |
| 953 | sign = -1; |
| 954 | i = -(i); |
| 955 | } |
| 956 | while (--i >= 0) { |
| 957 | /* Force a 32-bit circular shift */ |
| 958 | x = ((x << SHIFT) & ~MASK) | ((x >> (32-SHIFT)) & MASK); |
| 959 | x += v->ob_digit[i]; |
| 960 | } |
| 961 | x = x * sign; |
| 962 | if (x == -1) |
| 963 | x = -2; |
| 964 | return x; |
| 965 | } |
| 966 | |
| 967 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 968 | /* Add the absolute values of two long integers. */ |
| 969 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 970 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 971 | x_add(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 972 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 973 | 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] | 974 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 975 | int i; |
| 976 | digit carry = 0; |
| 977 | |
| 978 | /* Ensure a is the larger of the two: */ |
| 979 | if (size_a < size_b) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 980 | { PyLongObject *temp = a; a = b; b = temp; } |
| 981 | { int size_temp = size_a; |
| 982 | size_a = size_b; |
| 983 | size_b = size_temp; } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 984 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 985 | z = _PyLong_New(size_a+1); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 986 | if (z == NULL) |
| 987 | return NULL; |
| 988 | for (i = 0; i < size_b; ++i) { |
| 989 | carry += a->ob_digit[i] + b->ob_digit[i]; |
| 990 | z->ob_digit[i] = carry & MASK; |
| 991 | /* The following assumes unsigned shifts don't |
| 992 | propagate the sign bit. */ |
| 993 | carry >>= SHIFT; |
| 994 | } |
| 995 | for (; i < size_a; ++i) { |
| 996 | carry += a->ob_digit[i]; |
| 997 | z->ob_digit[i] = carry & MASK; |
| 998 | carry >>= SHIFT; |
| 999 | } |
| 1000 | z->ob_digit[i] = carry; |
| 1001 | return long_normalize(z); |
| 1002 | } |
| 1003 | |
| 1004 | /* Subtract the absolute values of two integers. */ |
| 1005 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1006 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1007 | x_sub(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1008 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1009 | 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] | 1010 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1011 | int i; |
| 1012 | int sign = 1; |
| 1013 | digit borrow = 0; |
| 1014 | |
| 1015 | /* Ensure a is the larger of the two: */ |
| 1016 | if (size_a < size_b) { |
| 1017 | sign = -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1018 | { PyLongObject *temp = a; a = b; b = temp; } |
| 1019 | { int size_temp = size_a; |
| 1020 | size_a = size_b; |
| 1021 | size_b = size_temp; } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1022 | } |
| 1023 | else if (size_a == size_b) { |
| 1024 | /* Find highest digit where a and b differ: */ |
| 1025 | i = size_a; |
| 1026 | while (--i >= 0 && a->ob_digit[i] == b->ob_digit[i]) |
| 1027 | ; |
| 1028 | if (i < 0) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1029 | return _PyLong_New(0); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1030 | if (a->ob_digit[i] < b->ob_digit[i]) { |
| 1031 | sign = -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1032 | { PyLongObject *temp = a; a = b; b = temp; } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1033 | } |
| 1034 | size_a = size_b = i+1; |
| 1035 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1036 | z = _PyLong_New(size_a); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1037 | if (z == NULL) |
| 1038 | return NULL; |
| 1039 | for (i = 0; i < size_b; ++i) { |
| 1040 | /* The following assumes unsigned arithmetic |
| 1041 | works module 2**N for some N>SHIFT. */ |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1042 | borrow = a->ob_digit[i] - b->ob_digit[i] - borrow; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1043 | z->ob_digit[i] = borrow & MASK; |
| 1044 | borrow >>= SHIFT; |
| 1045 | borrow &= 1; /* Keep only one sign bit */ |
| 1046 | } |
| 1047 | for (; i < size_a; ++i) { |
| 1048 | borrow = a->ob_digit[i] - borrow; |
| 1049 | z->ob_digit[i] = borrow & MASK; |
| 1050 | borrow >>= SHIFT; |
| 1051 | } |
| 1052 | assert(borrow == 0); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1053 | if (sign < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1054 | z->ob_size = -(z->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1055 | return long_normalize(z); |
| 1056 | } |
| 1057 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1058 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1059 | long_add(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1060 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1061 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1062 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1063 | if (a->ob_size < 0) { |
| 1064 | if (b->ob_size < 0) { |
| 1065 | z = x_add(a, b); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1066 | if (z != NULL && z->ob_size != 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1067 | z->ob_size = -(z->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1068 | } |
| 1069 | else |
| 1070 | z = x_sub(b, a); |
| 1071 | } |
| 1072 | else { |
| 1073 | if (b->ob_size < 0) |
| 1074 | z = x_sub(a, b); |
| 1075 | else |
| 1076 | z = x_add(a, b); |
| 1077 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1078 | return (PyObject *)z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1079 | } |
| 1080 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1081 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1082 | long_sub(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1083 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1084 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1085 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1086 | if (a->ob_size < 0) { |
| 1087 | if (b->ob_size < 0) |
| 1088 | z = x_sub(a, b); |
| 1089 | else |
| 1090 | z = x_add(a, b); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1091 | if (z != NULL && z->ob_size != 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1092 | z->ob_size = -(z->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1093 | } |
| 1094 | else { |
| 1095 | if (b->ob_size < 0) |
| 1096 | z = x_add(a, b); |
| 1097 | else |
| 1098 | z = x_sub(a, b); |
| 1099 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1100 | return (PyObject *)z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1101 | } |
| 1102 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1103 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1104 | long_mul(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1105 | { |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1106 | int size_a; |
| 1107 | int size_b; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1108 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1109 | int i; |
| 1110 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1111 | size_a = ABS(a->ob_size); |
| 1112 | size_b = ABS(b->ob_size); |
Guido van Rossum | ba71a24 | 2000-04-10 17:31:58 +0000 | [diff] [blame] | 1113 | if (size_a > size_b) { |
| 1114 | /* we are faster with the small object on the left */ |
| 1115 | int hold_sa = size_a; |
| 1116 | PyLongObject *hold_a = a; |
| 1117 | size_a = size_b; |
| 1118 | size_b = hold_sa; |
| 1119 | a = b; |
| 1120 | b = hold_a; |
| 1121 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1122 | z = _PyLong_New(size_a + size_b); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1123 | if (z == NULL) |
| 1124 | return NULL; |
| 1125 | for (i = 0; i < z->ob_size; ++i) |
| 1126 | z->ob_digit[i] = 0; |
| 1127 | for (i = 0; i < size_a; ++i) { |
| 1128 | twodigits carry = 0; |
| 1129 | twodigits f = a->ob_digit[i]; |
| 1130 | int j; |
| 1131 | |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1132 | SIGCHECK({ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1133 | Py_DECREF(z); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1134 | return NULL; |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1135 | }) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1136 | for (j = 0; j < size_b; ++j) { |
| 1137 | carry += z->ob_digit[i+j] + b->ob_digit[j] * f; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 1138 | z->ob_digit[i+j] = (digit) (carry & MASK); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1139 | carry >>= SHIFT; |
| 1140 | } |
| 1141 | for (; carry != 0; ++j) { |
| 1142 | assert(i+j < z->ob_size); |
| 1143 | carry += z->ob_digit[i+j]; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 1144 | z->ob_digit[i+j] = (digit) (carry & MASK); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1145 | carry >>= SHIFT; |
| 1146 | } |
| 1147 | } |
| 1148 | if (a->ob_size < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1149 | z->ob_size = -(z->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1150 | if (b->ob_size < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1151 | z->ob_size = -(z->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1152 | return (PyObject *) long_normalize(z); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1153 | } |
| 1154 | |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1155 | /* The / and % operators are now defined in terms of divmod(). |
| 1156 | The expression a mod b has the value a - b*floor(a/b). |
| 1157 | The long_divrem function gives the remainder after division of |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1158 | |a| by |b|, with the sign of a. This is also expressed |
| 1159 | as a - b*trunc(a/b), if trunc truncates towards zero. |
| 1160 | Some examples: |
| 1161 | a b a rem b a mod b |
| 1162 | 13 10 3 3 |
| 1163 | -13 10 -3 7 |
| 1164 | 13 -10 3 -7 |
| 1165 | -13 -10 -3 -3 |
| 1166 | 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] | 1167 | have different signs. We then subtract one from the 'div' |
| 1168 | part of the outcome to keep the invariant intact. */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1169 | |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1170 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1171 | l_divmod(PyLongObject *v, PyLongObject *w, |
| 1172 | PyLongObject **pdiv, PyLongObject **pmod) |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1173 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1174 | PyLongObject *div, *mod; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1175 | |
| 1176 | if (long_divrem(v, w, &div, &mod) < 0) |
| 1177 | return -1; |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 1178 | if ((mod->ob_size < 0 && w->ob_size > 0) || |
| 1179 | (mod->ob_size > 0 && w->ob_size < 0)) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1180 | PyLongObject *temp; |
| 1181 | PyLongObject *one; |
| 1182 | temp = (PyLongObject *) long_add(mod, w); |
| 1183 | Py_DECREF(mod); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1184 | mod = temp; |
| 1185 | if (mod == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1186 | Py_DECREF(div); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1187 | return -1; |
| 1188 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1189 | one = (PyLongObject *) PyLong_FromLong(1L); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1190 | if (one == NULL || |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1191 | (temp = (PyLongObject *) long_sub(div, one)) == NULL) { |
| 1192 | Py_DECREF(mod); |
| 1193 | Py_DECREF(div); |
| 1194 | Py_XDECREF(one); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1195 | return -1; |
| 1196 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1197 | Py_DECREF(one); |
| 1198 | Py_DECREF(div); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1199 | div = temp; |
| 1200 | } |
| 1201 | *pdiv = div; |
| 1202 | *pmod = mod; |
| 1203 | return 0; |
| 1204 | } |
| 1205 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1206 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1207 | long_div(PyLongObject *v, PyLongObject *w) |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1208 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1209 | PyLongObject *div, *mod; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1210 | if (l_divmod(v, w, &div, &mod) < 0) |
| 1211 | return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1212 | Py_DECREF(mod); |
| 1213 | return (PyObject *)div; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1214 | } |
| 1215 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1216 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1217 | long_mod(PyLongObject *v, PyLongObject *w) |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1218 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1219 | PyLongObject *div, *mod; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1220 | if (l_divmod(v, w, &div, &mod) < 0) |
| 1221 | return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1222 | Py_DECREF(div); |
| 1223 | return (PyObject *)mod; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1224 | } |
| 1225 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1226 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1227 | long_divmod(PyLongObject *v, PyLongObject *w) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1228 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1229 | PyObject *z; |
| 1230 | PyLongObject *div, *mod; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1231 | if (l_divmod(v, w, &div, &mod) < 0) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1232 | return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1233 | z = PyTuple_New(2); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1234 | if (z != NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1235 | PyTuple_SetItem(z, 0, (PyObject *) div); |
| 1236 | PyTuple_SetItem(z, 1, (PyObject *) mod); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1237 | } |
| 1238 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1239 | Py_DECREF(div); |
| 1240 | Py_DECREF(mod); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1241 | } |
| 1242 | return z; |
| 1243 | } |
| 1244 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1245 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1246 | long_pow(PyLongObject *a, PyLongObject *b, PyLongObject *c) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1247 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1248 | PyLongObject *z, *div, *mod; |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1249 | int size_b, i; |
| 1250 | |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1251 | size_b = b->ob_size; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1252 | if (size_b < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1253 | PyErr_SetString(PyExc_ValueError, |
| 1254 | "long integer to the negative power"); |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1255 | return NULL; |
| 1256 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1257 | z = (PyLongObject *)PyLong_FromLong(1L); |
| 1258 | Py_INCREF(a); |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1259 | for (i = 0; i < size_b; ++i) { |
| 1260 | digit bi = b->ob_digit[i]; |
| 1261 | int j; |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1262 | |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1263 | for (j = 0; j < SHIFT; ++j) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1264 | PyLongObject *temp; |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1265 | |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1266 | if (bi & 1) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1267 | temp = (PyLongObject *)long_mul(z, a); |
| 1268 | Py_DECREF(z); |
| 1269 | if ((PyObject*)c!=Py_None && temp!=NULL) { |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 1270 | if (l_divmod(temp,c,&div,&mod) < 0) { |
| 1271 | Py_DECREF(temp); |
| 1272 | z = NULL; |
| 1273 | goto error; |
| 1274 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1275 | Py_XDECREF(div); |
| 1276 | Py_DECREF(temp); |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1277 | temp = mod; |
| 1278 | } |
| 1279 | z = temp; |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1280 | if (z == NULL) |
| 1281 | break; |
| 1282 | } |
| 1283 | bi >>= 1; |
| 1284 | if (bi == 0 && i+1 == size_b) |
| 1285 | break; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1286 | temp = (PyLongObject *)long_mul(a, a); |
| 1287 | Py_DECREF(a); |
| 1288 | if ((PyObject*)c!=Py_None && temp!=NULL) { |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 1289 | if (l_divmod(temp, c, &div, &mod) < 0) { |
| 1290 | Py_DECREF(temp); |
| 1291 | z = NULL; |
| 1292 | goto error; |
| 1293 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1294 | Py_XDECREF(div); |
| 1295 | Py_DECREF(temp); |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1296 | temp = mod; |
| 1297 | } |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1298 | a = temp; |
| 1299 | if (a == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1300 | Py_DECREF(z); |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1301 | z = NULL; |
| 1302 | break; |
| 1303 | } |
| 1304 | } |
Guido van Rossum | c206c76 | 1995-01-10 15:23:19 +0000 | [diff] [blame] | 1305 | if (a == NULL || z == NULL) |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1306 | break; |
| 1307 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1308 | Py_XDECREF(a); |
| 1309 | if ((PyObject*)c!=Py_None && z!=NULL) { |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 1310 | if (l_divmod(z, c, &div, &mod) < 0) { |
| 1311 | Py_DECREF(z); |
| 1312 | z = NULL; |
| 1313 | } |
| 1314 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1315 | Py_XDECREF(div); |
| 1316 | Py_DECREF(z); |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 1317 | z = mod; |
| 1318 | } |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1319 | } |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 1320 | error: |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1321 | return (PyObject *)z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1322 | } |
| 1323 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1324 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1325 | long_invert(PyLongObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1326 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1327 | /* Implement ~x as -(x+1) */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1328 | PyLongObject *x; |
| 1329 | PyLongObject *w; |
| 1330 | w = (PyLongObject *)PyLong_FromLong(1L); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1331 | if (w == NULL) |
| 1332 | return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1333 | x = (PyLongObject *) long_add(v, w); |
| 1334 | Py_DECREF(w); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1335 | if (x == NULL) |
| 1336 | return NULL; |
| 1337 | if (x->ob_size != 0) |
| 1338 | x->ob_size = -(x->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1339 | return (PyObject *)x; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1340 | } |
| 1341 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1342 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1343 | long_pos(PyLongObject *v) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1344 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1345 | Py_INCREF(v); |
| 1346 | return (PyObject *)v; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1347 | } |
| 1348 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1349 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1350 | long_neg(PyLongObject *v) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1351 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1352 | PyLongObject *z; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1353 | int i, n; |
| 1354 | n = ABS(v->ob_size); |
| 1355 | if (n == 0) { |
| 1356 | /* -0 == 0 */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1357 | Py_INCREF(v); |
| 1358 | return (PyObject *) v; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1359 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1360 | z = _PyLong_New(ABS(n)); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1361 | if (z == NULL) |
| 1362 | return NULL; |
| 1363 | for (i = 0; i < n; i++) |
| 1364 | z->ob_digit[i] = v->ob_digit[i]; |
| 1365 | z->ob_size = -(v->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1366 | return (PyObject *)z; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1367 | } |
| 1368 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1369 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1370 | long_abs(PyLongObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1371 | { |
| 1372 | if (v->ob_size < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1373 | return long_neg(v); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1374 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1375 | Py_INCREF(v); |
| 1376 | return (PyObject *)v; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1377 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1378 | } |
| 1379 | |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1380 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1381 | long_nonzero(PyLongObject *v) |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1382 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1383 | return ABS(v->ob_size) != 0; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1384 | } |
| 1385 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1386 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1387 | long_rshift(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1388 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1389 | PyLongObject *z; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1390 | long shiftby; |
| 1391 | int newsize, wordshift, loshift, hishift, i, j; |
| 1392 | digit lomask, himask; |
| 1393 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1394 | if (a->ob_size < 0) { |
| 1395 | /* Right shifting negative numbers is harder */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1396 | PyLongObject *a1, *a2, *a3; |
| 1397 | a1 = (PyLongObject *) long_invert(a); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1398 | if (a1 == NULL) return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1399 | a2 = (PyLongObject *) long_rshift(a1, b); |
| 1400 | Py_DECREF(a1); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1401 | if (a2 == NULL) return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1402 | a3 = (PyLongObject *) long_invert(a2); |
| 1403 | Py_DECREF(a2); |
| 1404 | return (PyObject *) a3; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1405 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1406 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1407 | shiftby = PyLong_AsLong((PyObject *)b); |
| 1408 | if (shiftby == -1L && PyErr_Occurred()) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1409 | return NULL; |
| 1410 | if (shiftby < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1411 | PyErr_SetString(PyExc_ValueError, "negative shift count"); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1412 | return NULL; |
| 1413 | } |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1414 | wordshift = shiftby / SHIFT; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1415 | newsize = ABS(a->ob_size) - wordshift; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1416 | if (newsize <= 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1417 | z = _PyLong_New(0); |
| 1418 | return (PyObject *)z; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1419 | } |
| 1420 | loshift = shiftby % SHIFT; |
| 1421 | hishift = SHIFT - loshift; |
| 1422 | lomask = ((digit)1 << hishift) - 1; |
| 1423 | himask = MASK ^ lomask; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1424 | z = _PyLong_New(newsize); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1425 | if (z == NULL) |
| 1426 | return NULL; |
| 1427 | if (a->ob_size < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1428 | z->ob_size = -(z->ob_size); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1429 | for (i = 0, j = wordshift; i < newsize; i++, j++) { |
| 1430 | z->ob_digit[i] = (a->ob_digit[j] >> loshift) & lomask; |
| 1431 | if (i+1 < newsize) |
| 1432 | z->ob_digit[i] |= |
| 1433 | (a->ob_digit[j+1] << hishift) & himask; |
| 1434 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1435 | return (PyObject *) long_normalize(z); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1436 | } |
| 1437 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1438 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1439 | long_lshift(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1440 | { |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 1441 | /* This version due to Tim Peters */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1442 | PyLongObject *z; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1443 | long shiftby; |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 1444 | int oldsize, newsize, wordshift, remshift, i, j; |
| 1445 | twodigits accum; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1446 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1447 | shiftby = PyLong_AsLong((PyObject *)b); |
| 1448 | if (shiftby == -1L && PyErr_Occurred()) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1449 | return NULL; |
| 1450 | if (shiftby < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1451 | PyErr_SetString(PyExc_ValueError, "negative shift count"); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1452 | return NULL; |
| 1453 | } |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 1454 | if ((long)(int)shiftby != shiftby) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1455 | PyErr_SetString(PyExc_ValueError, |
| 1456 | "outrageous left shift count"); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1457 | return NULL; |
| 1458 | } |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 1459 | /* wordshift, remshift = divmod(shiftby, SHIFT) */ |
| 1460 | wordshift = (int)shiftby / SHIFT; |
| 1461 | remshift = (int)shiftby - wordshift * SHIFT; |
| 1462 | |
| 1463 | oldsize = ABS(a->ob_size); |
| 1464 | newsize = oldsize + wordshift; |
| 1465 | if (remshift) |
| 1466 | ++newsize; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1467 | z = _PyLong_New(newsize); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1468 | if (z == NULL) |
| 1469 | return NULL; |
| 1470 | if (a->ob_size < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1471 | z->ob_size = -(z->ob_size); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1472 | for (i = 0; i < wordshift; i++) |
| 1473 | z->ob_digit[i] = 0; |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 1474 | accum = 0; |
| 1475 | for (i = wordshift, j = 0; j < oldsize; i++, j++) { |
| 1476 | accum |= a->ob_digit[j] << remshift; |
| 1477 | z->ob_digit[i] = (digit)(accum & MASK); |
| 1478 | accum >>= SHIFT; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1479 | } |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 1480 | if (remshift) |
| 1481 | z->ob_digit[newsize-1] = (digit)accum; |
| 1482 | else |
| 1483 | assert(!accum); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1484 | return (PyObject *) long_normalize(z); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1485 | } |
| 1486 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1487 | |
| 1488 | /* Bitwise and/xor/or operations */ |
| 1489 | |
Guido van Rossum | afbb8db | 1991-12-31 13:14:13 +0000 | [diff] [blame] | 1490 | #define MAX(x, y) ((x) < (y) ? (y) : (x)) |
| 1491 | #define MIN(x, y) ((x) > (y) ? (y) : (x)) |
| 1492 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1493 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1494 | long_bitwise(PyLongObject *a, |
| 1495 | int op, /* '&', '|', '^' */ |
| 1496 | PyLongObject *b) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1497 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1498 | digit maska, maskb; /* 0 or MASK */ |
| 1499 | int negz; |
| 1500 | int size_a, size_b, size_z; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1501 | PyLongObject *z; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1502 | int i; |
Guido van Rossum | 8b27d92 | 1992-03-27 17:27:05 +0000 | [diff] [blame] | 1503 | digit diga, digb; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1504 | PyObject *v; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1505 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1506 | if (a->ob_size < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1507 | a = (PyLongObject *) long_invert(a); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1508 | maska = MASK; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1509 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1510 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1511 | Py_INCREF(a); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1512 | maska = 0; |
Guido van Rossum | afbb8db | 1991-12-31 13:14:13 +0000 | [diff] [blame] | 1513 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1514 | if (b->ob_size < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1515 | b = (PyLongObject *) long_invert(b); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1516 | maskb = MASK; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1517 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1518 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1519 | Py_INCREF(b); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1520 | maskb = 0; |
| 1521 | } |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1522 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1523 | negz = 0; |
| 1524 | switch (op) { |
| 1525 | case '^': |
| 1526 | if (maska != maskb) { |
| 1527 | maska ^= MASK; |
| 1528 | negz = -1; |
| 1529 | } |
| 1530 | break; |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1531 | case '&': |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1532 | if (maska && maskb) { |
| 1533 | op = '|'; |
| 1534 | maska ^= MASK; |
| 1535 | maskb ^= MASK; |
| 1536 | negz = -1; |
| 1537 | } |
| 1538 | break; |
| 1539 | case '|': |
| 1540 | if (maska || maskb) { |
| 1541 | op = '&'; |
| 1542 | maska ^= MASK; |
| 1543 | maskb ^= MASK; |
| 1544 | negz = -1; |
| 1545 | } |
| 1546 | break; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1547 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1548 | |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 1549 | /* JRH: The original logic here was to allocate the result value (z) |
| 1550 | as the longer of the two operands. However, there are some cases |
| 1551 | where the result is guaranteed to be shorter than that: AND of two |
| 1552 | positives, OR of two negatives: use the shorter number. AND with |
| 1553 | mixed signs: use the positive number. OR with mixed signs: use the |
| 1554 | negative number. After the transformations above, op will be '&' |
| 1555 | iff one of these cases applies, and mask will be non-0 for operands |
| 1556 | whose length should be ignored. |
| 1557 | */ |
| 1558 | |
| 1559 | size_a = a->ob_size; |
| 1560 | size_b = b->ob_size; |
| 1561 | size_z = op == '&' |
| 1562 | ? (maska |
| 1563 | ? size_b |
| 1564 | : (maskb ? size_a : MIN(size_a, size_b))) |
| 1565 | : MAX(size_a, size_b); |
| 1566 | z = _PyLong_New(size_z); |
| 1567 | if (a == NULL || b == NULL || z == NULL) { |
| 1568 | Py_XDECREF(a); |
| 1569 | Py_XDECREF(b); |
| 1570 | Py_XDECREF(z); |
| 1571 | return NULL; |
| 1572 | } |
| 1573 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1574 | for (i = 0; i < size_z; ++i) { |
| 1575 | diga = (i < size_a ? a->ob_digit[i] : 0) ^ maska; |
| 1576 | digb = (i < size_b ? b->ob_digit[i] : 0) ^ maskb; |
| 1577 | switch (op) { |
| 1578 | case '&': z->ob_digit[i] = diga & digb; break; |
| 1579 | case '|': z->ob_digit[i] = diga | digb; break; |
| 1580 | case '^': z->ob_digit[i] = diga ^ digb; break; |
| 1581 | } |
Guido van Rossum | afbb8db | 1991-12-31 13:14:13 +0000 | [diff] [blame] | 1582 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1583 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1584 | Py_DECREF(a); |
| 1585 | Py_DECREF(b); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1586 | z = long_normalize(z); |
| 1587 | if (negz == 0) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1588 | return (PyObject *) z; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1589 | v = long_invert(z); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1590 | Py_DECREF(z); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1591 | return v; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1592 | } |
| 1593 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1594 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1595 | long_and(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1596 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1597 | return long_bitwise(a, '&', b); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1598 | } |
| 1599 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1600 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1601 | long_xor(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1602 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1603 | return long_bitwise(a, '^', b); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1604 | } |
| 1605 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1606 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1607 | long_or(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1608 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1609 | return long_bitwise(a, '|', b); |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1610 | } |
| 1611 | |
Guido van Rossum | 234f942 | 1993-06-17 12:35:49 +0000 | [diff] [blame] | 1612 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1613 | long_coerce(PyObject **pv, PyObject **pw) |
Guido van Rossum | e6eefc2 | 1992-08-14 12:06:52 +0000 | [diff] [blame] | 1614 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1615 | if (PyInt_Check(*pw)) { |
| 1616 | *pw = PyLong_FromLong(PyInt_AsLong(*pw)); |
| 1617 | Py_INCREF(*pv); |
Guido van Rossum | e6eefc2 | 1992-08-14 12:06:52 +0000 | [diff] [blame] | 1618 | return 0; |
| 1619 | } |
| 1620 | return 1; /* Can't do it */ |
| 1621 | } |
| 1622 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1623 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1624 | long_int(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1625 | { |
| 1626 | long x; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1627 | x = PyLong_AsLong(v); |
| 1628 | if (PyErr_Occurred()) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1629 | return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1630 | return PyInt_FromLong(x); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1631 | } |
| 1632 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1633 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1634 | long_long(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1635 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1636 | Py_INCREF(v); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1637 | return v; |
| 1638 | } |
| 1639 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1640 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1641 | long_float(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1642 | { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 1643 | double result; |
| 1644 | PyFPE_START_PROTECT("long_float", return 0) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1645 | result = PyLong_AsDouble(v); |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 1646 | PyFPE_END_PROTECT(result) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1647 | return PyFloat_FromDouble(result); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1648 | } |
| 1649 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1650 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1651 | long_oct(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1652 | { |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 1653 | return long_format(v, 8, 1); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1654 | } |
| 1655 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1656 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1657 | long_hex(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1658 | { |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 1659 | return long_format(v, 16, 1); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1660 | } |
| 1661 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1662 | static PyNumberMethods long_as_number = { |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1663 | (binaryfunc) long_add, /*nb_add*/ |
| 1664 | (binaryfunc) long_sub, /*nb_subtract*/ |
| 1665 | (binaryfunc) long_mul, /*nb_multiply*/ |
| 1666 | (binaryfunc) long_div, /*nb_divide*/ |
| 1667 | (binaryfunc) long_mod, /*nb_remainder*/ |
| 1668 | (binaryfunc) long_divmod, /*nb_divmod*/ |
| 1669 | (ternaryfunc) long_pow, /*nb_power*/ |
| 1670 | (unaryfunc) long_neg, /*nb_negative*/ |
| 1671 | (unaryfunc) long_pos, /*tp_positive*/ |
| 1672 | (unaryfunc) long_abs, /*tp_absolute*/ |
| 1673 | (inquiry) long_nonzero, /*tp_nonzero*/ |
| 1674 | (unaryfunc) long_invert, /*nb_invert*/ |
| 1675 | (binaryfunc) long_lshift, /*nb_lshift*/ |
| 1676 | (binaryfunc) long_rshift, /*nb_rshift*/ |
| 1677 | (binaryfunc) long_and, /*nb_and*/ |
| 1678 | (binaryfunc) long_xor, /*nb_xor*/ |
| 1679 | (binaryfunc) long_or, /*nb_or*/ |
| 1680 | (int (*) (PyObject **, PyObject **)) |
| 1681 | (coercion)long_coerce, /*nb_coerce*/ |
| 1682 | (unaryfunc) long_int, /*nb_int*/ |
| 1683 | (unaryfunc) long_long, /*nb_long*/ |
| 1684 | (unaryfunc) long_float, /*nb_float*/ |
| 1685 | (unaryfunc) long_oct, /*nb_oct*/ |
| 1686 | (unaryfunc) long_hex, /*nb_hex*/ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1687 | }; |
| 1688 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1689 | PyTypeObject PyLong_Type = { |
| 1690 | PyObject_HEAD_INIT(&PyType_Type) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1691 | 0, |
| 1692 | "long int", |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1693 | sizeof(PyLongObject) - sizeof(digit), |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1694 | sizeof(digit), |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame^] | 1695 | (destructor)long_dealloc, /*tp_dealloc*/ |
| 1696 | 0, /*tp_print*/ |
| 1697 | 0, /*tp_getattr*/ |
| 1698 | 0, /*tp_setattr*/ |
| 1699 | (int (*) (PyObject *, PyObject *)) |
| 1700 | (cmpfunc)long_compare, /*tp_compare*/ |
| 1701 | (reprfunc)long_repr, /*tp_repr*/ |
| 1702 | &long_as_number, /*tp_as_number*/ |
| 1703 | 0, /*tp_as_sequence*/ |
| 1704 | 0, /*tp_as_mapping*/ |
| 1705 | (long (*) (PyObject *)) |
| 1706 | (hashfunc)long_hash, /*tp_hash*/ |
| 1707 | 0, /*tp_call*/ |
| 1708 | (reprfunc)long_str, /*tp_str*/ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1709 | }; |