Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1 | |
| 2 | /* Long (arbitrary precision) integer object implementation */ |
| 3 | |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 4 | /* XXX The functional organization of this file is terrible */ |
| 5 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 6 | #include "Python.h" |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 7 | #include "longintrepr.h" |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 8 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 9 | #include <assert.h> |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 10 | #include <ctype.h> |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 11 | |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 12 | #define ABS(x) ((x) < 0 ? -(x) : (x)) |
| 13 | |
| 14 | /* Forward */ |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 15 | static PyLongObject *long_normalize(PyLongObject *); |
| 16 | static PyLongObject *mul1(PyLongObject *, wdigit); |
| 17 | static PyLongObject *muladd1(PyLongObject *, wdigit, wdigit); |
| 18 | static PyLongObject *divrem1(PyLongObject *, wdigit, digit *); |
| 19 | static PyObject *long_format(PyObject *aa, int base, int addL); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 20 | |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 21 | static int ticker; /* XXX Could be shared with ceval? */ |
| 22 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 23 | #define SIGCHECK(PyTryBlock) \ |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 24 | if (--ticker < 0) { \ |
| 25 | ticker = 100; \ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 26 | if (PyErr_CheckSignals()) { PyTryBlock; } \ |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 27 | } |
| 28 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 29 | /* Normalize (remove leading zeros from) a long int object. |
| 30 | Doesn't attempt to free the storage--in most cases, due to the nature |
| 31 | of the algorithms used, this could save at most be one word anyway. */ |
| 32 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 33 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 34 | long_normalize(register PyLongObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 35 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 36 | int j = ABS(v->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 37 | register int i = j; |
| 38 | |
| 39 | while (i > 0 && v->ob_digit[i-1] == 0) |
| 40 | --i; |
| 41 | if (i != j) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 42 | v->ob_size = (v->ob_size < 0) ? -(i) : i; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 43 | return v; |
| 44 | } |
| 45 | |
| 46 | /* Allocate a new long int object with size digits. |
| 47 | Return NULL and set exception if we run out of memory. */ |
| 48 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 49 | PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 50 | _PyLong_New(int size) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 51 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 52 | return PyObject_NEW_VAR(PyLongObject, &PyLong_Type, size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 53 | } |
| 54 | |
| 55 | /* Create a new long int object from a C long int */ |
| 56 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 57 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 58 | PyLong_FromLong(long ival) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 59 | { |
Tim Peters | ce9de2f | 2001-06-14 04:56:19 +0000 | [diff] [blame] | 60 | PyLongObject *v; |
| 61 | unsigned long t; /* unsigned so >> doesn't propagate sign bit */ |
| 62 | int ndigits = 0; |
| 63 | int negative = 0; |
| 64 | |
| 65 | if (ival < 0) { |
| 66 | ival = -ival; |
| 67 | negative = 1; |
| 68 | } |
| 69 | |
| 70 | /* Count the number of Python digits. |
| 71 | We used to pick 5 ("big enough for anything"), but that's a |
| 72 | waste of time and space given that 5*15 = 75 bits are rarely |
| 73 | needed. */ |
| 74 | t = (unsigned long)ival; |
| 75 | while (t) { |
| 76 | ++ndigits; |
| 77 | t >>= SHIFT; |
| 78 | } |
| 79 | v = _PyLong_New(ndigits); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 80 | if (v != NULL) { |
Tim Peters | ce9de2f | 2001-06-14 04:56:19 +0000 | [diff] [blame] | 81 | digit *p = v->ob_digit; |
| 82 | v->ob_size = negative ? -ndigits : ndigits; |
| 83 | t = (unsigned long)ival; |
| 84 | while (t) { |
| 85 | *p++ = (digit)(t & MASK); |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 86 | t >>= SHIFT; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 87 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 88 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 89 | return (PyObject *)v; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 90 | } |
| 91 | |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 92 | /* Create a new long int object from a C unsigned long int */ |
| 93 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 94 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 95 | PyLong_FromUnsignedLong(unsigned long ival) |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 96 | { |
Tim Peters | ce9de2f | 2001-06-14 04:56:19 +0000 | [diff] [blame] | 97 | PyLongObject *v; |
| 98 | unsigned long t; |
| 99 | int ndigits = 0; |
| 100 | |
| 101 | /* Count the number of Python digits. */ |
| 102 | t = (unsigned long)ival; |
| 103 | while (t) { |
| 104 | ++ndigits; |
| 105 | t >>= SHIFT; |
| 106 | } |
| 107 | v = _PyLong_New(ndigits); |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 108 | if (v != NULL) { |
Tim Peters | ce9de2f | 2001-06-14 04:56:19 +0000 | [diff] [blame] | 109 | digit *p = v->ob_digit; |
| 110 | v->ob_size = ndigits; |
| 111 | while (ival) { |
| 112 | *p++ = (digit)(ival & MASK); |
| 113 | ival >>= SHIFT; |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 114 | } |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 115 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 116 | return (PyObject *)v; |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 117 | } |
| 118 | |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 119 | /* Create a new long int object from a C double */ |
| 120 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 121 | PyObject * |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 122 | PyLong_FromDouble(double dval) |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 123 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 124 | PyLongObject *v; |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 125 | double frac; |
| 126 | int i, ndig, expo, neg; |
| 127 | neg = 0; |
Tim Peters | 39dce29 | 2000-08-15 03:34:48 +0000 | [diff] [blame] | 128 | if (Py_IS_INFINITY(dval)) { |
Guido van Rossum | 1a23c24 | 1999-09-27 17:11:52 +0000 | [diff] [blame] | 129 | PyErr_SetString(PyExc_OverflowError, |
| 130 | "cannot convert float infinity to long"); |
| 131 | return NULL; |
| 132 | } |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 133 | if (dval < 0.0) { |
| 134 | neg = 1; |
| 135 | dval = -dval; |
| 136 | } |
| 137 | frac = frexp(dval, &expo); /* dval = frac*2**expo; 0.0 <= frac < 1.0 */ |
| 138 | if (expo <= 0) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 139 | return PyLong_FromLong(0L); |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 140 | ndig = (expo-1) / SHIFT + 1; /* Number of 'digits' in result */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 141 | v = _PyLong_New(ndig); |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 142 | if (v == NULL) |
| 143 | return NULL; |
| 144 | frac = ldexp(frac, (expo-1) % SHIFT + 1); |
| 145 | for (i = ndig; --i >= 0; ) { |
| 146 | long bits = (long)frac; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 147 | v->ob_digit[i] = (digit) bits; |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 148 | frac = frac - (double)bits; |
| 149 | frac = ldexp(frac, SHIFT); |
| 150 | } |
| 151 | if (neg) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 152 | v->ob_size = -(v->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 153 | return (PyObject *)v; |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 154 | } |
| 155 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 156 | /* Get a C long int from a long int object. |
| 157 | Returns -1 and sets an error condition if overflow occurs. */ |
| 158 | |
| 159 | long |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 160 | PyLong_AsLong(PyObject *vv) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 161 | { |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 162 | /* This version by Tim Peters */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 163 | register PyLongObject *v; |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 164 | unsigned long x, prev; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 165 | int i, sign; |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 166 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 167 | if (vv == NULL || !PyLong_Check(vv)) { |
| 168 | PyErr_BadInternalCall(); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 169 | return -1; |
| 170 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 171 | v = (PyLongObject *)vv; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 172 | i = v->ob_size; |
| 173 | sign = 1; |
| 174 | x = 0; |
| 175 | if (i < 0) { |
| 176 | sign = -1; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 177 | i = -(i); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 178 | } |
| 179 | while (--i >= 0) { |
| 180 | prev = x; |
| 181 | x = (x << SHIFT) + v->ob_digit[i]; |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 182 | if ((x >> SHIFT) != prev) |
| 183 | goto overflow; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 184 | } |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 185 | /* Haven't lost any bits, but if the sign bit is set we're in |
| 186 | * trouble *unless* this is the min negative number. So, |
| 187 | * trouble iff sign bit set && (positive || some bit set other |
| 188 | * than the sign bit). |
| 189 | */ |
| 190 | if ((long)x < 0 && (sign > 0 || (x << 1) != 0)) |
| 191 | goto overflow; |
| 192 | return (long)x * sign; |
| 193 | |
| 194 | overflow: |
| 195 | PyErr_SetString(PyExc_OverflowError, |
Fred Drake | 661ea26 | 2000-10-24 19:57:45 +0000 | [diff] [blame] | 196 | "long int too large to convert"); |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 197 | return -1; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 198 | } |
| 199 | |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 200 | /* Get a C long int from a long int object. |
| 201 | Returns -1 and sets an error condition if overflow occurs. */ |
| 202 | |
| 203 | unsigned long |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 204 | PyLong_AsUnsignedLong(PyObject *vv) |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 205 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 206 | register PyLongObject *v; |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 207 | unsigned long x, prev; |
| 208 | int i; |
| 209 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 210 | if (vv == NULL || !PyLong_Check(vv)) { |
| 211 | PyErr_BadInternalCall(); |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 212 | return (unsigned long) -1; |
| 213 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 214 | v = (PyLongObject *)vv; |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 215 | i = v->ob_size; |
| 216 | x = 0; |
| 217 | if (i < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 218 | PyErr_SetString(PyExc_OverflowError, |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 219 | "can't convert negative value to unsigned long"); |
| 220 | return (unsigned long) -1; |
| 221 | } |
| 222 | while (--i >= 0) { |
| 223 | prev = x; |
| 224 | x = (x << SHIFT) + v->ob_digit[i]; |
| 225 | if ((x >> SHIFT) != prev) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 226 | PyErr_SetString(PyExc_OverflowError, |
Fred Drake | 661ea26 | 2000-10-24 19:57:45 +0000 | [diff] [blame] | 227 | "long int too large to convert"); |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 228 | return (unsigned long) -1; |
| 229 | } |
| 230 | } |
| 231 | return x; |
| 232 | } |
| 233 | |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 234 | PyObject * |
| 235 | _PyLong_FromByteArray(const unsigned char* bytes, size_t n, |
| 236 | int little_endian, int is_signed) |
| 237 | { |
| 238 | const unsigned char* pstartbyte;/* LSB of bytes */ |
| 239 | int incr; /* direction to move pstartbyte */ |
| 240 | const unsigned char* pendbyte; /* MSB of bytes */ |
| 241 | size_t numsignificantbytes; /* number of bytes that matter */ |
| 242 | size_t ndigits; /* number of Python long digits */ |
| 243 | PyLongObject* v; /* result */ |
| 244 | int idigit = 0; /* next free index in v->ob_digit */ |
| 245 | |
| 246 | if (n == 0) |
| 247 | return PyLong_FromLong(0L); |
| 248 | |
| 249 | if (little_endian) { |
| 250 | pstartbyte = bytes; |
| 251 | pendbyte = bytes + n - 1; |
| 252 | incr = 1; |
| 253 | } |
| 254 | else { |
| 255 | pstartbyte = bytes + n - 1; |
| 256 | pendbyte = bytes; |
| 257 | incr = -1; |
| 258 | } |
| 259 | |
| 260 | if (is_signed) |
| 261 | is_signed = *pendbyte >= 0x80; |
| 262 | |
| 263 | /* Compute numsignificantbytes. This consists of finding the most |
| 264 | significant byte. Leading 0 bytes are insignficant if the number |
| 265 | is positive, and leading 0xff bytes if negative. */ |
| 266 | { |
| 267 | size_t i; |
| 268 | const unsigned char* p = pendbyte; |
| 269 | const int pincr = -incr; /* search MSB to LSB */ |
| 270 | const unsigned char insignficant = is_signed ? 0xff : 0x00; |
| 271 | |
| 272 | for (i = 0; i < n; ++i, p += pincr) { |
| 273 | if (*p != insignficant) |
| 274 | break; |
| 275 | } |
| 276 | numsignificantbytes = n - i; |
| 277 | /* 2's-comp is a bit tricky here, e.g. 0xff00 == -0x0100, so |
| 278 | actually has 2 significant bytes. OTOH, 0xff0001 == |
| 279 | -0x00ffff, so we wouldn't *need* to bump it there; but we |
| 280 | do for 0xffff = -0x0001. To be safe without bothering to |
| 281 | check every case, bump it regardless. */ |
| 282 | if (is_signed && numsignificantbytes < n) |
| 283 | ++numsignificantbytes; |
| 284 | } |
| 285 | |
| 286 | /* How many Python long digits do we need? We have |
| 287 | 8*numsignificantbytes bits, and each Python long digit has SHIFT |
| 288 | bits, so it's the ceiling of the quotient. */ |
| 289 | ndigits = (numsignificantbytes * 8 + SHIFT - 1) / SHIFT; |
| 290 | if (ndigits > (size_t)INT_MAX) |
| 291 | return PyErr_NoMemory(); |
| 292 | v = _PyLong_New((int)ndigits); |
| 293 | if (v == NULL) |
| 294 | return NULL; |
| 295 | |
| 296 | /* Copy the bits over. The tricky parts are computing 2's-comp on |
| 297 | the fly for signed numbers, and dealing with the mismatch between |
| 298 | 8-bit bytes and (probably) 15-bit Python digits.*/ |
| 299 | { |
| 300 | size_t i; |
Tim Peters | f251d06 | 2001-06-13 21:09:15 +0000 | [diff] [blame] | 301 | twodigits carry = 1; /* for 2's-comp calculation */ |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 302 | twodigits accum = 0; /* sliding register */ |
| 303 | unsigned int accumbits = 0; /* number of bits in accum */ |
| 304 | const unsigned char* p = pstartbyte; |
| 305 | |
| 306 | for (i = 0; i < numsignificantbytes; ++i, p += incr) { |
Tim Peters | 8bc84b4 | 2001-06-12 19:17:03 +0000 | [diff] [blame] | 307 | twodigits thisbyte = *p; |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 308 | /* Compute correction for 2's comp, if needed. */ |
| 309 | if (is_signed) { |
| 310 | thisbyte = (0xff ^ thisbyte) + carry; |
| 311 | carry = thisbyte >> 8; |
| 312 | thisbyte &= 0xff; |
| 313 | } |
| 314 | /* Because we're going LSB to MSB, thisbyte is |
| 315 | more significant than what's already in accum, |
| 316 | so needs to be prepended to accum. */ |
| 317 | accum |= thisbyte << accumbits; |
| 318 | accumbits += 8; |
| 319 | if (accumbits >= SHIFT) { |
| 320 | /* There's enough to fill a Python digit. */ |
| 321 | assert(idigit < (int)ndigits); |
| 322 | v->ob_digit[idigit] = (digit)(accum & MASK); |
| 323 | ++idigit; |
| 324 | accum >>= SHIFT; |
| 325 | accumbits -= SHIFT; |
| 326 | assert(accumbits < SHIFT); |
| 327 | } |
| 328 | } |
| 329 | assert(accumbits < SHIFT); |
| 330 | if (accumbits) { |
| 331 | assert(idigit < (int)ndigits); |
| 332 | v->ob_digit[idigit] = (digit)accum; |
| 333 | ++idigit; |
| 334 | } |
| 335 | } |
| 336 | |
| 337 | v->ob_size = is_signed ? -idigit : idigit; |
| 338 | return (PyObject *)long_normalize(v); |
| 339 | } |
| 340 | |
| 341 | int |
| 342 | _PyLong_AsByteArray(PyLongObject* v, |
| 343 | unsigned char* bytes, size_t n, |
| 344 | int little_endian, int is_signed) |
| 345 | { |
| 346 | int i; /* index into v->ob_digit */ |
| 347 | int ndigits; /* |v->ob_size| */ |
| 348 | twodigits accum; /* sliding register */ |
| 349 | unsigned int accumbits; /* # bits in accum */ |
| 350 | int do_twos_comp; /* store 2's-comp? is_signed and v < 0 */ |
| 351 | twodigits carry; /* for computing 2's-comp */ |
| 352 | size_t j; /* # bytes filled */ |
| 353 | unsigned char* p; /* pointer to next byte in bytes */ |
| 354 | int pincr; /* direction to move p */ |
| 355 | |
| 356 | assert(v != NULL && PyLong_Check(v)); |
| 357 | |
| 358 | if (v->ob_size < 0) { |
| 359 | ndigits = -(v->ob_size); |
| 360 | if (!is_signed) { |
| 361 | PyErr_SetString(PyExc_TypeError, |
| 362 | "can't convert negative long to unsigned"); |
| 363 | return -1; |
| 364 | } |
| 365 | do_twos_comp = 1; |
| 366 | } |
| 367 | else { |
| 368 | ndigits = v->ob_size; |
| 369 | do_twos_comp = 0; |
| 370 | } |
| 371 | |
| 372 | if (little_endian) { |
| 373 | p = bytes; |
| 374 | pincr = 1; |
| 375 | } |
| 376 | else { |
| 377 | p = bytes + n - 1; |
| 378 | pincr = -1; |
| 379 | } |
| 380 | |
Tim Peters | 898cf85 | 2001-06-13 20:50:08 +0000 | [diff] [blame] | 381 | /* Copy over all the Python digits. |
| 382 | It's crucial that every Python digit except for the MSD contribute |
| 383 | exactly SHIFT bits to the total, so first assert that the long is |
| 384 | normalized. */ |
| 385 | assert(ndigits == 0 || v->ob_digit[ndigits - 1] != 0); |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 386 | j = 0; |
| 387 | accum = 0; |
| 388 | accumbits = 0; |
| 389 | carry = do_twos_comp ? 1 : 0; |
| 390 | for (i = 0; i < ndigits; ++i) { |
| 391 | twodigits thisdigit = v->ob_digit[i]; |
| 392 | if (do_twos_comp) { |
| 393 | thisdigit = (thisdigit ^ MASK) + carry; |
| 394 | carry = thisdigit >> SHIFT; |
| 395 | thisdigit &= MASK; |
| 396 | } |
Tim Peters | 8bc84b4 | 2001-06-12 19:17:03 +0000 | [diff] [blame] | 397 | /* Because we're going LSB to MSB, thisdigit is more |
| 398 | significant than what's already in accum, so needs to be |
| 399 | prepended to accum. */ |
| 400 | accum |= thisdigit << accumbits; |
Tim Peters | ede0509 | 2001-06-14 08:53:38 +0000 | [diff] [blame] | 401 | accumbits += SHIFT; |
Tim Peters | 8bc84b4 | 2001-06-12 19:17:03 +0000 | [diff] [blame] | 402 | |
Tim Peters | ede0509 | 2001-06-14 08:53:38 +0000 | [diff] [blame] | 403 | /* The most-significant digit may be (probably is) at least |
| 404 | partly empty. */ |
Tim Peters | 8bc84b4 | 2001-06-12 19:17:03 +0000 | [diff] [blame] | 405 | if (i == ndigits - 1) { |
Tim Peters | ede0509 | 2001-06-14 08:53:38 +0000 | [diff] [blame] | 406 | /* Count # of sign bits -- they needn't be stored, |
| 407 | * although for signed conversion we need later to |
| 408 | * make sure at least one sign bit gets stored. |
| 409 | * First shift conceptual sign bit to real sign bit. |
| 410 | */ |
| 411 | stwodigits s = (stwodigits)(thisdigit << |
| 412 | (8*sizeof(stwodigits) - SHIFT)); |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 413 | unsigned int nsignbits = 0; |
Tim Peters | ede0509 | 2001-06-14 08:53:38 +0000 | [diff] [blame] | 414 | while ((s < 0) == do_twos_comp && nsignbits < SHIFT) { |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 415 | ++nsignbits; |
Tim Peters | ede0509 | 2001-06-14 08:53:38 +0000 | [diff] [blame] | 416 | s <<= 1; |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 417 | } |
Tim Peters | ede0509 | 2001-06-14 08:53:38 +0000 | [diff] [blame] | 418 | accumbits -= nsignbits; |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 419 | } |
Tim Peters | 8bc84b4 | 2001-06-12 19:17:03 +0000 | [diff] [blame] | 420 | |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 421 | /* Store as many bytes as possible. */ |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 422 | while (accumbits >= 8) { |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 423 | if (j >= n) |
| 424 | goto Overflow; |
| 425 | ++j; |
| 426 | *p = (unsigned char)(accum & 0xff); |
| 427 | p += pincr; |
| 428 | accumbits -= 8; |
| 429 | accum >>= 8; |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 430 | } |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 431 | } |
| 432 | |
| 433 | /* Store the straggler (if any). */ |
| 434 | assert(accumbits < 8); |
| 435 | assert(carry == 0); /* else do_twos_comp and *every* digit was 0 */ |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 436 | if (accumbits > 0) { |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 437 | if (j >= n) |
| 438 | goto Overflow; |
| 439 | ++j; |
| 440 | if (do_twos_comp) { |
| 441 | /* Fill leading bits of the byte with sign bits |
| 442 | (appropriately pretending that the long had an |
| 443 | infinite supply of sign bits). */ |
| 444 | accum |= (~(twodigits)0) << accumbits; |
| 445 | } |
| 446 | *p = (unsigned char)(accum & 0xff); |
| 447 | p += pincr; |
| 448 | } |
Tim Peters | 05607ad | 2001-06-13 21:01:27 +0000 | [diff] [blame] | 449 | else if (j == n && n > 0 && is_signed) { |
| 450 | /* The main loop filled the byte array exactly, so the code |
| 451 | just above didn't get to ensure there's a sign bit, and the |
| 452 | loop below wouldn't add one either. Make sure a sign bit |
| 453 | exists. */ |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 454 | unsigned char msb = *(p - pincr); |
Tim Peters | 05607ad | 2001-06-13 21:01:27 +0000 | [diff] [blame] | 455 | int sign_bit_set = msb >= 0x80; |
| 456 | assert(accumbits == 0); |
| 457 | if (sign_bit_set == do_twos_comp) |
| 458 | return 0; |
| 459 | else |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 460 | goto Overflow; |
| 461 | } |
Tim Peters | 05607ad | 2001-06-13 21:01:27 +0000 | [diff] [blame] | 462 | |
| 463 | /* Fill remaining bytes with copies of the sign bit. */ |
| 464 | { |
| 465 | unsigned char signbyte = do_twos_comp ? 0xffU : 0U; |
| 466 | for ( ; j < n; ++j, p += pincr) |
| 467 | *p = signbyte; |
| 468 | } |
| 469 | |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 470 | return 0; |
| 471 | |
| 472 | Overflow: |
| 473 | PyErr_SetString(PyExc_OverflowError, "long too big to convert"); |
| 474 | return -1; |
| 475 | |
| 476 | } |
| 477 | |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 478 | /* Get a C double from a long int object. */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 479 | |
| 480 | double |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 481 | PyLong_AsDouble(PyObject *vv) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 482 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 483 | register PyLongObject *v; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 484 | double x; |
| 485 | double multiplier = (double) (1L << SHIFT); |
| 486 | int i, sign; |
| 487 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 488 | if (vv == NULL || !PyLong_Check(vv)) { |
| 489 | PyErr_BadInternalCall(); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 490 | return -1; |
| 491 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 492 | v = (PyLongObject *)vv; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 493 | i = v->ob_size; |
| 494 | sign = 1; |
| 495 | x = 0.0; |
| 496 | if (i < 0) { |
| 497 | sign = -1; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 498 | i = -(i); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 499 | } |
| 500 | while (--i >= 0) { |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 501 | x = x*multiplier + (double)v->ob_digit[i]; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 502 | } |
| 503 | return x * sign; |
| 504 | } |
| 505 | |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 506 | /* Create a new long (or int) object from a C pointer */ |
| 507 | |
| 508 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 509 | PyLong_FromVoidPtr(void *p) |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 510 | { |
Tim Peters | 70128a1 | 2001-06-16 08:48:40 +0000 | [diff] [blame] | 511 | #if SIZEOF_VOID_P <= SIZEOF_LONG |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 512 | return PyInt_FromLong((long)p); |
| 513 | #else |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 514 | |
Tim Peters | 70128a1 | 2001-06-16 08:48:40 +0000 | [diff] [blame] | 515 | #ifndef HAVE_LONG_LONG |
| 516 | # error "PyLong_FromVoidPtr: sizeof(void*) > sizeof(long), but no long long" |
| 517 | #endif |
| 518 | #if SIZEOF_LONG_LONG < SIZEOF_VOID_P |
| 519 | # error "PyLong_FromVoidPtr: sizeof(LONG_LONG) < sizeof(void*)" |
| 520 | #endif |
| 521 | /* optimize null pointers */ |
| 522 | if (p == NULL) |
| 523 | return PyInt_FromLong(0); |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 524 | return PyLong_FromLongLong((LONG_LONG)p); |
Tim Peters | 70128a1 | 2001-06-16 08:48:40 +0000 | [diff] [blame] | 525 | |
| 526 | #endif /* SIZEOF_VOID_P <= SIZEOF_LONG */ |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 527 | } |
| 528 | |
| 529 | /* Get a C pointer from a long object (or an int object in some cases) */ |
| 530 | |
| 531 | void * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 532 | PyLong_AsVoidPtr(PyObject *vv) |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 533 | { |
| 534 | /* This function will allow int or long objects. If vv is neither, |
| 535 | then the PyLong_AsLong*() functions will raise the exception: |
| 536 | PyExc_SystemError, "bad argument to internal function" |
| 537 | */ |
Tim Peters | 70128a1 | 2001-06-16 08:48:40 +0000 | [diff] [blame] | 538 | #if SIZEOF_VOID_P <= SIZEOF_LONG |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 539 | long x; |
| 540 | |
Tim Peters | 70128a1 | 2001-06-16 08:48:40 +0000 | [diff] [blame] | 541 | if (PyInt_Check(vv)) |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 542 | x = PyInt_AS_LONG(vv); |
| 543 | else |
| 544 | x = PyLong_AsLong(vv); |
| 545 | #else |
Tim Peters | 70128a1 | 2001-06-16 08:48:40 +0000 | [diff] [blame] | 546 | |
| 547 | #ifndef HAVE_LONG_LONG |
| 548 | # error "PyLong_AsVoidPtr: sizeof(void*) > sizeof(long), but no long long" |
| 549 | #endif |
| 550 | #if SIZEOF_LONG_LONG < SIZEOF_VOID_P |
| 551 | # error "PyLong_AsVoidPtr: sizeof(LONG_LONG) < sizeof(void*)" |
| 552 | #endif |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 553 | LONG_LONG x; |
| 554 | |
Tim Peters | 70128a1 | 2001-06-16 08:48:40 +0000 | [diff] [blame] | 555 | if (PyInt_Check(vv)) |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 556 | x = PyInt_AS_LONG(vv); |
| 557 | else |
| 558 | x = PyLong_AsLongLong(vv); |
Tim Peters | 70128a1 | 2001-06-16 08:48:40 +0000 | [diff] [blame] | 559 | |
| 560 | #endif /* SIZEOF_VOID_P <= SIZEOF_LONG */ |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 561 | |
| 562 | if (x == -1 && PyErr_Occurred()) |
| 563 | return NULL; |
| 564 | return (void *)x; |
| 565 | } |
| 566 | |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 567 | #ifdef HAVE_LONG_LONG |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 568 | |
| 569 | /* Initial LONG_LONG support by Chris Herborth (chrish@qnx.com), later |
| 570 | * rewritten to use the newer PyLong_{As,From}ByteArray API. |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 571 | */ |
| 572 | |
Tim Peters | cf37dfc | 2001-06-14 18:42:50 +0000 | [diff] [blame] | 573 | #define IS_LITTLE_ENDIAN (int)*(unsigned char*)&one |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 574 | |
| 575 | /* 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] | 576 | |
| 577 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 578 | PyLong_FromLongLong(LONG_LONG ival) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 579 | { |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 580 | LONG_LONG bytes = ival; |
| 581 | int one = 1; |
| 582 | return _PyLong_FromByteArray( |
| 583 | (unsigned char *)&bytes, |
| 584 | SIZEOF_LONG_LONG, IS_LITTLE_ENDIAN, 1); |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 585 | } |
| 586 | |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 587 | /* Create a new long int object from a C unsigned LONG_LONG int. */ |
| 588 | |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 589 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 590 | PyLong_FromUnsignedLongLong(unsigned LONG_LONG ival) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 591 | { |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 592 | unsigned LONG_LONG bytes = ival; |
| 593 | int one = 1; |
| 594 | return _PyLong_FromByteArray( |
| 595 | (unsigned char *)&bytes, |
| 596 | SIZEOF_LONG_LONG, IS_LITTLE_ENDIAN, 0); |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 597 | } |
| 598 | |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 599 | /* Get a C LONG_LONG int from a long int object. |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 600 | Return -1 and set an error if overflow occurs. */ |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 601 | |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 602 | LONG_LONG |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 603 | PyLong_AsLongLong(PyObject *vv) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 604 | { |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 605 | LONG_LONG bytes; |
| 606 | int one = 1; |
| 607 | int res; |
| 608 | |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 609 | if (vv == NULL || !PyLong_Check(vv)) { |
| 610 | PyErr_BadInternalCall(); |
| 611 | return -1; |
| 612 | } |
| 613 | |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 614 | res = _PyLong_AsByteArray( |
| 615 | (PyLongObject *)vv, (unsigned char *)&bytes, |
| 616 | SIZEOF_LONG_LONG, IS_LITTLE_ENDIAN, 1); |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 617 | |
Tim Peters | 9cb0c38 | 2001-06-13 20:45:17 +0000 | [diff] [blame] | 618 | return res < 0 ? (LONG_LONG)res : bytes; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 619 | } |
| 620 | |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 621 | /* Get a C unsigned LONG_LONG int from a long int object. |
| 622 | Return -1 and set an error if overflow occurs. */ |
| 623 | |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 624 | unsigned LONG_LONG |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 625 | PyLong_AsUnsignedLongLong(PyObject *vv) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 626 | { |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 627 | unsigned LONG_LONG bytes; |
| 628 | int one = 1; |
| 629 | int res; |
| 630 | |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 631 | if (vv == NULL || !PyLong_Check(vv)) { |
| 632 | PyErr_BadInternalCall(); |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 633 | return -1; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 634 | } |
| 635 | |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 636 | res = _PyLong_AsByteArray( |
| 637 | (PyLongObject *)vv, (unsigned char *)&bytes, |
| 638 | SIZEOF_LONG_LONG, IS_LITTLE_ENDIAN, 0); |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 639 | |
Tim Peters | 9cb0c38 | 2001-06-13 20:45:17 +0000 | [diff] [blame] | 640 | return res < 0 ? (unsigned LONG_LONG)res : bytes; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 641 | } |
Tim Peters | d1a7da6 | 2001-06-13 00:35:57 +0000 | [diff] [blame] | 642 | |
| 643 | #undef IS_LITTLE_ENDIAN |
| 644 | |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 645 | #endif /* HAVE_LONG_LONG */ |
| 646 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 647 | |
| 648 | static int |
| 649 | convert_binop(PyObject *v, PyObject *w, PyLongObject **a, PyLongObject **b) { |
| 650 | if (PyLong_Check(v)) { |
| 651 | *a = (PyLongObject *) v; |
| 652 | Py_INCREF(v); |
| 653 | } |
| 654 | else if (PyInt_Check(v)) { |
| 655 | *a = (PyLongObject *) PyLong_FromLong(PyInt_AS_LONG(v)); |
| 656 | } |
| 657 | else { |
| 658 | return 0; |
| 659 | } |
| 660 | if (PyLong_Check(w)) { |
| 661 | *b = (PyLongObject *) w; |
| 662 | Py_INCREF(w); |
| 663 | } |
| 664 | else if (PyInt_Check(w)) { |
| 665 | *b = (PyLongObject *) PyLong_FromLong(PyInt_AS_LONG(w)); |
| 666 | } |
| 667 | else { |
| 668 | Py_DECREF(*a); |
| 669 | return 0; |
| 670 | } |
| 671 | return 1; |
| 672 | } |
| 673 | |
| 674 | #define CONVERT_BINOP(v, w, a, b) \ |
| 675 | if (!convert_binop(v, w, a, b)) { \ |
| 676 | Py_INCREF(Py_NotImplemented); \ |
| 677 | return Py_NotImplemented; \ |
| 678 | } |
| 679 | |
| 680 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 681 | /* Multiply by a single digit, ignoring the sign. */ |
| 682 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 683 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 684 | mul1(PyLongObject *a, wdigit n) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 685 | { |
| 686 | return muladd1(a, n, (digit)0); |
| 687 | } |
| 688 | |
| 689 | /* Multiply by a single digit and add a single digit, ignoring the sign. */ |
| 690 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 691 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 692 | muladd1(PyLongObject *a, wdigit n, wdigit extra) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 693 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 694 | int size_a = ABS(a->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 695 | PyLongObject *z = _PyLong_New(size_a+1); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 696 | twodigits carry = extra; |
| 697 | int i; |
| 698 | |
| 699 | if (z == NULL) |
| 700 | return NULL; |
| 701 | for (i = 0; i < size_a; ++i) { |
| 702 | carry += (twodigits)a->ob_digit[i] * n; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 703 | z->ob_digit[i] = (digit) (carry & MASK); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 704 | carry >>= SHIFT; |
| 705 | } |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 706 | z->ob_digit[i] = (digit) carry; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 707 | return long_normalize(z); |
| 708 | } |
| 709 | |
| 710 | /* Divide a long integer by a digit, returning both the quotient |
| 711 | (as function result) and the remainder (through *prem). |
| 712 | The sign of a is ignored; n should not be zero. */ |
| 713 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 714 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 715 | divrem1(PyLongObject *a, wdigit n, digit *prem) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 716 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 717 | int size = ABS(a->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 718 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 719 | int i; |
| 720 | twodigits rem = 0; |
| 721 | |
| 722 | assert(n > 0 && n <= MASK); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 723 | z = _PyLong_New(size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 724 | if (z == NULL) |
| 725 | return NULL; |
| 726 | for (i = size; --i >= 0; ) { |
| 727 | rem = (rem << SHIFT) + a->ob_digit[i]; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 728 | z->ob_digit[i] = (digit) (rem/n); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 729 | rem %= n; |
| 730 | } |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 731 | *prem = (digit) rem; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 732 | return long_normalize(z); |
| 733 | } |
| 734 | |
| 735 | /* 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] | 736 | Return a string object. |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 737 | 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] | 738 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 739 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 740 | long_format(PyObject *aa, int base, int addL) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 741 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 742 | register PyLongObject *a = (PyLongObject *)aa; |
| 743 | PyStringObject *str; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 744 | int i; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 745 | int size_a = ABS(a->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 746 | char *p; |
| 747 | int bits; |
| 748 | char sign = '\0'; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 749 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 750 | if (a == NULL || !PyLong_Check(a)) { |
| 751 | PyErr_BadInternalCall(); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 752 | return NULL; |
| 753 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 754 | assert(base >= 2 && base <= 36); |
| 755 | |
| 756 | /* Compute a rough upper bound for the length of the string */ |
| 757 | i = base; |
| 758 | bits = 0; |
| 759 | while (i > 1) { |
| 760 | ++bits; |
| 761 | i >>= 1; |
| 762 | } |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 763 | i = 5 + (addL ? 1 : 0) + (size_a*SHIFT + bits-1) / bits; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 764 | str = (PyStringObject *) PyString_FromStringAndSize((char *)0, i); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 765 | if (str == NULL) |
| 766 | return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 767 | p = PyString_AS_STRING(str) + i; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 768 | *p = '\0'; |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 769 | if (addL) |
| 770 | *--p = 'L'; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 771 | if (a->ob_size < 0) |
| 772 | sign = '-'; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 773 | |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 774 | if (a->ob_size == 0) { |
| 775 | *--p = '0'; |
| 776 | } |
| 777 | else if ((base & (base - 1)) == 0) { |
| 778 | /* JRH: special case for power-of-2 bases */ |
| 779 | twodigits temp = a->ob_digit[0]; |
| 780 | int bitsleft = SHIFT; |
| 781 | int rem; |
| 782 | int last = abs(a->ob_size); |
| 783 | int basebits = 1; |
| 784 | i = base; |
Tim Peters | 7d3a511 | 2000-07-08 04:17:21 +0000 | [diff] [blame] | 785 | while ((i >>= 1) > 1) |
| 786 | ++basebits; |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 787 | |
| 788 | i = 0; |
| 789 | for (;;) { |
| 790 | while (bitsleft >= basebits) { |
| 791 | if ((temp == 0) && (i >= last - 1)) break; |
| 792 | rem = temp & (base - 1); |
| 793 | if (rem < 10) |
| 794 | rem += '0'; |
| 795 | else |
| 796 | rem += 'A' - 10; |
| 797 | assert(p > PyString_AS_STRING(str)); |
| 798 | *--p = (char) rem; |
| 799 | bitsleft -= basebits; |
| 800 | temp >>= basebits; |
| 801 | } |
| 802 | if (++i >= last) { |
| 803 | if (temp == 0) break; |
| 804 | bitsleft = 99; |
| 805 | /* loop again to pick up final digits */ |
| 806 | } |
| 807 | else { |
| 808 | temp = (a->ob_digit[i] << bitsleft) | temp; |
| 809 | bitsleft += SHIFT; |
| 810 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 811 | } |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 812 | } |
| 813 | else { |
| 814 | Py_INCREF(a); |
| 815 | do { |
| 816 | digit rem; |
| 817 | PyLongObject *temp = divrem1(a, (digit)base, &rem); |
| 818 | if (temp == NULL) { |
| 819 | Py_DECREF(a); |
| 820 | Py_DECREF(str); |
| 821 | return NULL; |
| 822 | } |
| 823 | if (rem < 10) |
| 824 | rem += '0'; |
| 825 | else |
| 826 | rem += 'A'-10; |
| 827 | assert(p > PyString_AS_STRING(str)); |
| 828 | *--p = (char) rem; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 829 | Py_DECREF(a); |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 830 | a = temp; |
| 831 | SIGCHECK({ |
| 832 | Py_DECREF(a); |
| 833 | Py_DECREF(str); |
| 834 | return NULL; |
| 835 | }) |
| 836 | } while (ABS(a->ob_size) != 0); |
| 837 | Py_DECREF(a); |
| 838 | } |
| 839 | |
Guido van Rossum | 2c47542 | 1992-08-14 15:13:07 +0000 | [diff] [blame] | 840 | if (base == 8) { |
| 841 | if (size_a != 0) |
| 842 | *--p = '0'; |
| 843 | } |
Guido van Rossum | 3d3037d | 1991-10-24 14:55:57 +0000 | [diff] [blame] | 844 | else if (base == 16) { |
| 845 | *--p = 'x'; |
| 846 | *--p = '0'; |
| 847 | } |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 848 | else if (base != 10) { |
| 849 | *--p = '#'; |
| 850 | *--p = '0' + base%10; |
| 851 | if (base > 10) |
| 852 | *--p = '0' + base/10; |
| 853 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 854 | if (sign) |
| 855 | *--p = sign; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 856 | if (p != PyString_AS_STRING(str)) { |
| 857 | char *q = PyString_AS_STRING(str); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 858 | assert(p > q); |
| 859 | do { |
| 860 | } while ((*q++ = *p++) != '\0'); |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 861 | q--; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 862 | _PyString_Resize((PyObject **)&str, |
| 863 | (int) (q - PyString_AS_STRING(str))); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 864 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 865 | return (PyObject *)str; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 866 | } |
| 867 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 868 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 869 | PyLong_FromString(char *str, char **pend, int base) |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 870 | { |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 871 | int sign = 1; |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 872 | char *start, *orig_str = str; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 873 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 874 | |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 875 | if ((base != 0 && base < 2) || base > 36) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 876 | PyErr_SetString(PyExc_ValueError, |
Fred Drake | 661ea26 | 2000-10-24 19:57:45 +0000 | [diff] [blame] | 877 | "long() arg 2 must be >= 2 and <= 36"); |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 878 | return NULL; |
| 879 | } |
Guido van Rossum | 9fa2c11 | 1995-02-10 17:00:37 +0000 | [diff] [blame] | 880 | while (*str != '\0' && isspace(Py_CHARMASK(*str))) |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 881 | str++; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 882 | if (*str == '+') |
| 883 | ++str; |
| 884 | else if (*str == '-') { |
| 885 | ++str; |
| 886 | sign = -1; |
| 887 | } |
Guido van Rossum | 9fa2c11 | 1995-02-10 17:00:37 +0000 | [diff] [blame] | 888 | while (*str != '\0' && isspace(Py_CHARMASK(*str))) |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 889 | str++; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 890 | if (base == 0) { |
| 891 | if (str[0] != '0') |
| 892 | base = 10; |
| 893 | else if (str[1] == 'x' || str[1] == 'X') |
| 894 | base = 16; |
| 895 | else |
| 896 | base = 8; |
| 897 | } |
| 898 | if (base == 16 && str[0] == '0' && (str[1] == 'x' || str[1] == 'X')) |
| 899 | str += 2; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 900 | z = _PyLong_New(0); |
Guido van Rossum | e676297 | 1998-06-22 03:54:46 +0000 | [diff] [blame] | 901 | start = str; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 902 | for ( ; z != NULL; ++str) { |
| 903 | int k = -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 904 | PyLongObject *temp; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 905 | |
| 906 | if (*str <= '9') |
| 907 | k = *str - '0'; |
| 908 | else if (*str >= 'a') |
| 909 | k = *str - 'a' + 10; |
| 910 | else if (*str >= 'A') |
| 911 | k = *str - 'A' + 10; |
| 912 | if (k < 0 || k >= base) |
| 913 | break; |
| 914 | temp = muladd1(z, (digit)base, (digit)k); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 915 | Py_DECREF(z); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 916 | z = temp; |
| 917 | } |
Guido van Rossum | ac6a37a | 1998-08-04 15:04:06 +0000 | [diff] [blame] | 918 | if (z == NULL) |
| 919 | return NULL; |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 920 | if (str == start) |
| 921 | goto onError; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 922 | if (sign < 0 && z != NULL && z->ob_size != 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 923 | z->ob_size = -(z->ob_size); |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 924 | if (*str == 'L' || *str == 'l') |
| 925 | str++; |
| 926 | while (*str && isspace(Py_CHARMASK(*str))) |
| 927 | str++; |
| 928 | if (*str != '\0') |
| 929 | goto onError; |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 930 | if (pend) |
| 931 | *pend = str; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 932 | return (PyObject *) z; |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 933 | |
| 934 | onError: |
| 935 | PyErr_Format(PyExc_ValueError, |
| 936 | "invalid literal for long(): %.200s", orig_str); |
| 937 | Py_XDECREF(z); |
| 938 | return NULL; |
| 939 | } |
| 940 | |
| 941 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 942 | PyLong_FromUnicode(Py_UNICODE *u, int length, int base) |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 943 | { |
| 944 | char buffer[256]; |
| 945 | |
| 946 | if (length >= sizeof(buffer)) { |
| 947 | PyErr_SetString(PyExc_ValueError, |
| 948 | "long() literal too large to convert"); |
| 949 | return NULL; |
| 950 | } |
| 951 | if (PyUnicode_EncodeDecimal(u, length, buffer, NULL)) |
| 952 | return NULL; |
| 953 | |
| 954 | return PyLong_FromString(buffer, NULL, base); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 955 | } |
| 956 | |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 957 | /* forward */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 958 | static PyLongObject *x_divrem |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 959 | (PyLongObject *, PyLongObject *, PyLongObject **); |
| 960 | static PyObject *long_pos(PyLongObject *); |
| 961 | static int long_divrem(PyLongObject *, PyLongObject *, |
| 962 | PyLongObject **, PyLongObject **); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 963 | |
| 964 | /* Long division with remainder, top-level routine */ |
| 965 | |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 966 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 967 | long_divrem(PyLongObject *a, PyLongObject *b, |
| 968 | PyLongObject **pdiv, PyLongObject **prem) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 969 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 970 | 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] | 971 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 972 | |
| 973 | if (size_b == 0) { |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 974 | PyErr_SetString(PyExc_ZeroDivisionError, |
Fred Drake | 661ea26 | 2000-10-24 19:57:45 +0000 | [diff] [blame] | 975 | "long division or modulo by zero"); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 976 | return -1; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 977 | } |
| 978 | if (size_a < size_b || |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 979 | (size_a == size_b && |
| 980 | 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] | 981 | /* |a| < |b|. */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 982 | *pdiv = _PyLong_New(0); |
| 983 | Py_INCREF(a); |
| 984 | *prem = (PyLongObject *) a; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 985 | return 0; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 986 | } |
| 987 | if (size_b == 1) { |
| 988 | digit rem = 0; |
| 989 | z = divrem1(a, b->ob_digit[0], &rem); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 990 | if (z == NULL) |
| 991 | return -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 992 | *prem = (PyLongObject *) PyLong_FromLong((long)rem); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 993 | } |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 994 | else { |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 995 | z = x_divrem(a, b, prem); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 996 | if (z == NULL) |
| 997 | return -1; |
| 998 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 999 | /* Set the signs. |
| 1000 | The quotient z has the sign of a*b; |
| 1001 | the remainder r has the sign of a, |
| 1002 | so a = b*z + r. */ |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1003 | if ((a->ob_size < 0) != (b->ob_size < 0)) |
| 1004 | z->ob_size = -(z->ob_size); |
| 1005 | if (a->ob_size < 0 && (*prem)->ob_size != 0) |
| 1006 | (*prem)->ob_size = -((*prem)->ob_size); |
| 1007 | *pdiv = z; |
| 1008 | return 0; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1009 | } |
| 1010 | |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1011 | /* Unsigned long division with remainder -- the algorithm */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1012 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1013 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1014 | x_divrem(PyLongObject *v1, PyLongObject *w1, PyLongObject **prem) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1015 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1016 | 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] | 1017 | 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] | 1018 | PyLongObject *v = mul1(v1, d); |
| 1019 | PyLongObject *w = mul1(w1, d); |
| 1020 | PyLongObject *a; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1021 | int j, k; |
| 1022 | |
| 1023 | if (v == NULL || w == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1024 | Py_XDECREF(v); |
| 1025 | Py_XDECREF(w); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1026 | return NULL; |
| 1027 | } |
| 1028 | |
| 1029 | 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] | 1030 | 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] | 1031 | 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] | 1032 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1033 | size_v = ABS(v->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1034 | a = _PyLong_New(size_v - size_w + 1); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1035 | |
| 1036 | for (j = size_v, k = a->ob_size-1; a != NULL && k >= 0; --j, --k) { |
| 1037 | digit vj = (j >= size_v) ? 0 : v->ob_digit[j]; |
| 1038 | twodigits q; |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1039 | stwodigits carry = 0; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1040 | int i; |
| 1041 | |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1042 | SIGCHECK({ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1043 | Py_DECREF(a); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1044 | a = NULL; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1045 | break; |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1046 | }) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1047 | if (vj == w->ob_digit[size_w-1]) |
| 1048 | q = MASK; |
| 1049 | else |
| 1050 | q = (((twodigits)vj << SHIFT) + v->ob_digit[j-1]) / |
| 1051 | w->ob_digit[size_w-1]; |
| 1052 | |
| 1053 | while (w->ob_digit[size_w-2]*q > |
| 1054 | (( |
| 1055 | ((twodigits)vj << SHIFT) |
| 1056 | + v->ob_digit[j-1] |
| 1057 | - q*w->ob_digit[size_w-1] |
| 1058 | ) << SHIFT) |
| 1059 | + v->ob_digit[j-2]) |
| 1060 | --q; |
| 1061 | |
| 1062 | for (i = 0; i < size_w && i+k < size_v; ++i) { |
| 1063 | twodigits z = w->ob_digit[i] * q; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 1064 | digit zz = (digit) (z >> SHIFT); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1065 | carry += v->ob_digit[i+k] - z |
| 1066 | + ((twodigits)zz << SHIFT); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1067 | v->ob_digit[i+k] = carry & MASK; |
Tim Peters | 7d3a511 | 2000-07-08 04:17:21 +0000 | [diff] [blame] | 1068 | carry = Py_ARITHMETIC_RIGHT_SHIFT(BASE_TWODIGITS_TYPE, |
| 1069 | carry, SHIFT); |
| 1070 | carry -= zz; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1071 | } |
| 1072 | |
| 1073 | if (i+k < size_v) { |
| 1074 | carry += v->ob_digit[i+k]; |
| 1075 | v->ob_digit[i+k] = 0; |
| 1076 | } |
| 1077 | |
| 1078 | if (carry == 0) |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 1079 | a->ob_digit[k] = (digit) q; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1080 | else { |
| 1081 | assert(carry == -1); |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 1082 | a->ob_digit[k] = (digit) q-1; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1083 | carry = 0; |
| 1084 | for (i = 0; i < size_w && i+k < size_v; ++i) { |
| 1085 | carry += v->ob_digit[i+k] + w->ob_digit[i]; |
| 1086 | v->ob_digit[i+k] = carry & MASK; |
Tim Peters | 7d3a511 | 2000-07-08 04:17:21 +0000 | [diff] [blame] | 1087 | carry = Py_ARITHMETIC_RIGHT_SHIFT( |
| 1088 | BASE_TWODIGITS_TYPE, |
| 1089 | carry, SHIFT); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1090 | } |
| 1091 | } |
| 1092 | } /* for j, k */ |
| 1093 | |
Guido van Rossum | c206c76 | 1995-01-10 15:23:19 +0000 | [diff] [blame] | 1094 | if (a == NULL) |
| 1095 | *prem = NULL; |
| 1096 | else { |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1097 | a = long_normalize(a); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1098 | *prem = divrem1(v, d, &d); |
| 1099 | /* d receives the (unused) remainder */ |
| 1100 | if (*prem == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1101 | Py_DECREF(a); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1102 | a = NULL; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1103 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1104 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1105 | Py_DECREF(v); |
| 1106 | Py_DECREF(w); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1107 | return a; |
| 1108 | } |
| 1109 | |
| 1110 | /* Methods */ |
| 1111 | |
| 1112 | static void |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1113 | long_dealloc(PyObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1114 | { |
Guido van Rossum | b18618d | 2000-05-03 23:44:39 +0000 | [diff] [blame] | 1115 | PyObject_DEL(v); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1116 | } |
| 1117 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1118 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1119 | long_repr(PyObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1120 | { |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 1121 | return long_format(v, 10, 1); |
| 1122 | } |
| 1123 | |
| 1124 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1125 | long_str(PyObject *v) |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 1126 | { |
| 1127 | return long_format(v, 10, 0); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1128 | } |
| 1129 | |
| 1130 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1131 | long_compare(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1132 | { |
| 1133 | int sign; |
| 1134 | |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1135 | if (a->ob_size != b->ob_size) { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1136 | if (ABS(a->ob_size) == 0 && ABS(b->ob_size) == 0) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1137 | sign = 0; |
| 1138 | else |
| 1139 | sign = a->ob_size - b->ob_size; |
| 1140 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1141 | else { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1142 | int i = ABS(a->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1143 | while (--i >= 0 && a->ob_digit[i] == b->ob_digit[i]) |
| 1144 | ; |
| 1145 | if (i < 0) |
| 1146 | sign = 0; |
Guido van Rossum | 0b0db8e | 1993-01-21 16:07:51 +0000 | [diff] [blame] | 1147 | else { |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1148 | sign = (int)a->ob_digit[i] - (int)b->ob_digit[i]; |
Guido van Rossum | 0b0db8e | 1993-01-21 16:07:51 +0000 | [diff] [blame] | 1149 | if (a->ob_size < 0) |
| 1150 | sign = -sign; |
| 1151 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1152 | } |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1153 | return sign < 0 ? -1 : sign > 0 ? 1 : 0; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1154 | } |
| 1155 | |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 1156 | static long |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1157 | long_hash(PyLongObject *v) |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 1158 | { |
| 1159 | long x; |
| 1160 | int i, sign; |
| 1161 | |
| 1162 | /* This is designed so that Python ints and longs with the |
| 1163 | same value hash to the same value, otherwise comparisons |
| 1164 | of mapping keys will turn out weird */ |
| 1165 | i = v->ob_size; |
| 1166 | sign = 1; |
| 1167 | x = 0; |
| 1168 | if (i < 0) { |
| 1169 | sign = -1; |
| 1170 | i = -(i); |
| 1171 | } |
| 1172 | while (--i >= 0) { |
| 1173 | /* Force a 32-bit circular shift */ |
| 1174 | x = ((x << SHIFT) & ~MASK) | ((x >> (32-SHIFT)) & MASK); |
| 1175 | x += v->ob_digit[i]; |
| 1176 | } |
| 1177 | x = x * sign; |
| 1178 | if (x == -1) |
| 1179 | x = -2; |
| 1180 | return x; |
| 1181 | } |
| 1182 | |
| 1183 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1184 | /* Add the absolute values of two long integers. */ |
| 1185 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1186 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1187 | x_add(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1188 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1189 | 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] | 1190 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1191 | int i; |
| 1192 | digit carry = 0; |
| 1193 | |
| 1194 | /* Ensure a is the larger of the two: */ |
| 1195 | if (size_a < size_b) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1196 | { PyLongObject *temp = a; a = b; b = temp; } |
| 1197 | { int size_temp = size_a; |
| 1198 | size_a = size_b; |
| 1199 | size_b = size_temp; } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1200 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1201 | z = _PyLong_New(size_a+1); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1202 | if (z == NULL) |
| 1203 | return NULL; |
| 1204 | for (i = 0; i < size_b; ++i) { |
| 1205 | carry += a->ob_digit[i] + b->ob_digit[i]; |
| 1206 | z->ob_digit[i] = carry & MASK; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1207 | carry >>= SHIFT; |
| 1208 | } |
| 1209 | for (; i < size_a; ++i) { |
| 1210 | carry += a->ob_digit[i]; |
| 1211 | z->ob_digit[i] = carry & MASK; |
| 1212 | carry >>= SHIFT; |
| 1213 | } |
| 1214 | z->ob_digit[i] = carry; |
| 1215 | return long_normalize(z); |
| 1216 | } |
| 1217 | |
| 1218 | /* Subtract the absolute values of two integers. */ |
| 1219 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1220 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1221 | x_sub(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1222 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1223 | 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] | 1224 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1225 | int i; |
| 1226 | int sign = 1; |
| 1227 | digit borrow = 0; |
| 1228 | |
| 1229 | /* Ensure a is the larger of the two: */ |
| 1230 | if (size_a < size_b) { |
| 1231 | sign = -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1232 | { PyLongObject *temp = a; a = b; b = temp; } |
| 1233 | { int size_temp = size_a; |
| 1234 | size_a = size_b; |
| 1235 | size_b = size_temp; } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1236 | } |
| 1237 | else if (size_a == size_b) { |
| 1238 | /* Find highest digit where a and b differ: */ |
| 1239 | i = size_a; |
| 1240 | while (--i >= 0 && a->ob_digit[i] == b->ob_digit[i]) |
| 1241 | ; |
| 1242 | if (i < 0) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1243 | return _PyLong_New(0); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1244 | if (a->ob_digit[i] < b->ob_digit[i]) { |
| 1245 | sign = -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1246 | { PyLongObject *temp = a; a = b; b = temp; } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1247 | } |
| 1248 | size_a = size_b = i+1; |
| 1249 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1250 | z = _PyLong_New(size_a); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1251 | if (z == NULL) |
| 1252 | return NULL; |
| 1253 | for (i = 0; i < size_b; ++i) { |
| 1254 | /* The following assumes unsigned arithmetic |
| 1255 | works module 2**N for some N>SHIFT. */ |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1256 | borrow = a->ob_digit[i] - b->ob_digit[i] - borrow; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1257 | z->ob_digit[i] = borrow & MASK; |
| 1258 | borrow >>= SHIFT; |
| 1259 | borrow &= 1; /* Keep only one sign bit */ |
| 1260 | } |
| 1261 | for (; i < size_a; ++i) { |
| 1262 | borrow = a->ob_digit[i] - borrow; |
| 1263 | z->ob_digit[i] = borrow & MASK; |
| 1264 | borrow >>= SHIFT; |
Tim Peters | 43f04a3 | 2000-07-08 02:26:47 +0000 | [diff] [blame] | 1265 | borrow &= 1; /* Keep only one sign bit */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1266 | } |
| 1267 | assert(borrow == 0); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1268 | if (sign < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1269 | z->ob_size = -(z->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1270 | return long_normalize(z); |
| 1271 | } |
| 1272 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1273 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1274 | long_add(PyLongObject *v, PyLongObject *w) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1275 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1276 | PyLongObject *a, *b, *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1277 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1278 | CONVERT_BINOP((PyObject *)v, (PyObject *)w, &a, &b); |
| 1279 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1280 | if (a->ob_size < 0) { |
| 1281 | if (b->ob_size < 0) { |
| 1282 | z = x_add(a, b); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1283 | if (z != NULL && z->ob_size != 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1284 | z->ob_size = -(z->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1285 | } |
| 1286 | else |
| 1287 | z = x_sub(b, a); |
| 1288 | } |
| 1289 | else { |
| 1290 | if (b->ob_size < 0) |
| 1291 | z = x_sub(a, b); |
| 1292 | else |
| 1293 | z = x_add(a, b); |
| 1294 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1295 | Py_DECREF(a); |
| 1296 | Py_DECREF(b); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1297 | return (PyObject *)z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1298 | } |
| 1299 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1300 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1301 | long_sub(PyLongObject *v, PyLongObject *w) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1302 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1303 | PyLongObject *a, *b, *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1304 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1305 | CONVERT_BINOP((PyObject *)v, (PyObject *)w, &a, &b); |
| 1306 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1307 | if (a->ob_size < 0) { |
| 1308 | if (b->ob_size < 0) |
| 1309 | z = x_sub(a, b); |
| 1310 | else |
| 1311 | z = x_add(a, b); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1312 | if (z != NULL && z->ob_size != 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1313 | z->ob_size = -(z->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1314 | } |
| 1315 | else { |
| 1316 | if (b->ob_size < 0) |
| 1317 | z = x_add(a, b); |
| 1318 | else |
| 1319 | z = x_sub(a, b); |
| 1320 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1321 | Py_DECREF(a); |
| 1322 | Py_DECREF(b); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1323 | return (PyObject *)z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1324 | } |
| 1325 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1326 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1327 | long_repeat(PyObject *v, PyLongObject *w) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1328 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1329 | /* sequence * long */ |
| 1330 | long n = PyLong_AsLong((PyObject *) w); |
| 1331 | if (n == -1 && PyErr_Occurred()) |
| 1332 | return NULL; |
| 1333 | else |
| 1334 | return (*v->ob_type->tp_as_sequence->sq_repeat)(v, n); |
| 1335 | } |
| 1336 | |
| 1337 | static PyObject * |
| 1338 | long_mul(PyLongObject *v, PyLongObject *w) |
| 1339 | { |
| 1340 | PyLongObject *a, *b, *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1341 | int size_a; |
| 1342 | int size_b; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1343 | int i; |
| 1344 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1345 | if (v->ob_type->tp_as_sequence && |
| 1346 | v->ob_type->tp_as_sequence->sq_repeat) { |
| 1347 | return long_repeat((PyObject *)v, w); |
| 1348 | } |
| 1349 | else if (w->ob_type->tp_as_sequence && |
| 1350 | w->ob_type->tp_as_sequence->sq_repeat) { |
| 1351 | return long_repeat((PyObject *)w, v); |
| 1352 | } |
| 1353 | |
| 1354 | CONVERT_BINOP((PyObject *)v, (PyObject *)w, &a, &b); |
| 1355 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1356 | size_a = ABS(a->ob_size); |
| 1357 | size_b = ABS(b->ob_size); |
Guido van Rossum | ba71a24 | 2000-04-10 17:31:58 +0000 | [diff] [blame] | 1358 | if (size_a > size_b) { |
| 1359 | /* we are faster with the small object on the left */ |
| 1360 | int hold_sa = size_a; |
| 1361 | PyLongObject *hold_a = a; |
| 1362 | size_a = size_b; |
| 1363 | size_b = hold_sa; |
| 1364 | a = b; |
| 1365 | b = hold_a; |
| 1366 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1367 | z = _PyLong_New(size_a + size_b); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1368 | if (z == NULL) { |
| 1369 | Py_DECREF(a); |
| 1370 | Py_DECREF(b); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1371 | return NULL; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1372 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1373 | for (i = 0; i < z->ob_size; ++i) |
| 1374 | z->ob_digit[i] = 0; |
| 1375 | for (i = 0; i < size_a; ++i) { |
| 1376 | twodigits carry = 0; |
| 1377 | twodigits f = a->ob_digit[i]; |
| 1378 | int j; |
| 1379 | |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1380 | SIGCHECK({ |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1381 | Py_DECREF(a); |
| 1382 | Py_DECREF(b); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1383 | Py_DECREF(z); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1384 | return NULL; |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1385 | }) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1386 | for (j = 0; j < size_b; ++j) { |
| 1387 | carry += z->ob_digit[i+j] + b->ob_digit[j] * f; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 1388 | z->ob_digit[i+j] = (digit) (carry & MASK); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1389 | carry >>= SHIFT; |
| 1390 | } |
| 1391 | for (; carry != 0; ++j) { |
| 1392 | assert(i+j < z->ob_size); |
| 1393 | carry += z->ob_digit[i+j]; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 1394 | z->ob_digit[i+j] = (digit) (carry & MASK); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1395 | carry >>= SHIFT; |
| 1396 | } |
| 1397 | } |
| 1398 | if (a->ob_size < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1399 | z->ob_size = -(z->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1400 | if (b->ob_size < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1401 | z->ob_size = -(z->ob_size); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1402 | Py_DECREF(a); |
| 1403 | Py_DECREF(b); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1404 | return (PyObject *) long_normalize(z); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1405 | } |
| 1406 | |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1407 | /* The / and % operators are now defined in terms of divmod(). |
| 1408 | The expression a mod b has the value a - b*floor(a/b). |
| 1409 | The long_divrem function gives the remainder after division of |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1410 | |a| by |b|, with the sign of a. This is also expressed |
| 1411 | as a - b*trunc(a/b), if trunc truncates towards zero. |
| 1412 | Some examples: |
| 1413 | a b a rem b a mod b |
| 1414 | 13 10 3 3 |
| 1415 | -13 10 -3 7 |
| 1416 | 13 -10 3 -7 |
| 1417 | -13 -10 -3 -3 |
| 1418 | 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] | 1419 | have different signs. We then subtract one from the 'div' |
| 1420 | part of the outcome to keep the invariant intact. */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1421 | |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1422 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1423 | l_divmod(PyLongObject *v, PyLongObject *w, |
| 1424 | PyLongObject **pdiv, PyLongObject **pmod) |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1425 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1426 | PyLongObject *div, *mod; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1427 | |
| 1428 | if (long_divrem(v, w, &div, &mod) < 0) |
| 1429 | return -1; |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 1430 | if ((mod->ob_size < 0 && w->ob_size > 0) || |
| 1431 | (mod->ob_size > 0 && w->ob_size < 0)) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1432 | PyLongObject *temp; |
| 1433 | PyLongObject *one; |
| 1434 | temp = (PyLongObject *) long_add(mod, w); |
| 1435 | Py_DECREF(mod); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1436 | mod = temp; |
| 1437 | if (mod == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1438 | Py_DECREF(div); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1439 | return -1; |
| 1440 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1441 | one = (PyLongObject *) PyLong_FromLong(1L); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1442 | if (one == NULL || |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1443 | (temp = (PyLongObject *) long_sub(div, one)) == NULL) { |
| 1444 | Py_DECREF(mod); |
| 1445 | Py_DECREF(div); |
| 1446 | Py_XDECREF(one); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1447 | return -1; |
| 1448 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1449 | Py_DECREF(one); |
| 1450 | Py_DECREF(div); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1451 | div = temp; |
| 1452 | } |
| 1453 | *pdiv = div; |
| 1454 | *pmod = mod; |
| 1455 | return 0; |
| 1456 | } |
| 1457 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1458 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1459 | long_div(PyObject *v, PyObject *w) |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1460 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1461 | PyLongObject *a, *b, *div, *mod; |
| 1462 | |
| 1463 | CONVERT_BINOP(v, w, &a, &b); |
| 1464 | |
| 1465 | if (l_divmod(a, b, &div, &mod) < 0) { |
| 1466 | Py_DECREF(a); |
| 1467 | Py_DECREF(b); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1468 | return NULL; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1469 | } |
| 1470 | Py_DECREF(a); |
| 1471 | Py_DECREF(b); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1472 | Py_DECREF(mod); |
| 1473 | return (PyObject *)div; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1474 | } |
| 1475 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1476 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1477 | long_mod(PyObject *v, PyObject *w) |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1478 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1479 | PyLongObject *a, *b, *div, *mod; |
| 1480 | |
| 1481 | CONVERT_BINOP(v, w, &a, &b); |
| 1482 | |
| 1483 | if (l_divmod(a, b, &div, &mod) < 0) { |
| 1484 | Py_DECREF(a); |
| 1485 | Py_DECREF(b); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1486 | return NULL; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1487 | } |
| 1488 | Py_DECREF(a); |
| 1489 | Py_DECREF(b); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1490 | Py_DECREF(div); |
| 1491 | return (PyObject *)mod; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1492 | } |
| 1493 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1494 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1495 | long_divmod(PyObject *v, PyObject *w) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1496 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1497 | PyLongObject *a, *b, *div, *mod; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1498 | PyObject *z; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1499 | |
| 1500 | CONVERT_BINOP(v, w, &a, &b); |
| 1501 | |
| 1502 | if (l_divmod(a, b, &div, &mod) < 0) { |
| 1503 | Py_DECREF(a); |
| 1504 | Py_DECREF(b); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1505 | return NULL; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1506 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1507 | z = PyTuple_New(2); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1508 | if (z != NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1509 | PyTuple_SetItem(z, 0, (PyObject *) div); |
| 1510 | PyTuple_SetItem(z, 1, (PyObject *) mod); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1511 | } |
| 1512 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1513 | Py_DECREF(div); |
| 1514 | Py_DECREF(mod); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1515 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1516 | Py_DECREF(a); |
| 1517 | Py_DECREF(b); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1518 | return z; |
| 1519 | } |
| 1520 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1521 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1522 | long_pow(PyObject *v, PyObject *w, PyObject *x) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1523 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1524 | PyLongObject *a, *b; |
| 1525 | PyObject *c; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1526 | PyLongObject *z, *div, *mod; |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1527 | int size_b, i; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1528 | |
| 1529 | CONVERT_BINOP(v, w, &a, &b); |
| 1530 | if (PyLong_Check(x) || Py_None == x) { |
| 1531 | c = x; |
| 1532 | Py_INCREF(x); |
| 1533 | } |
| 1534 | else if (PyInt_Check(x)) { |
| 1535 | c = PyLong_FromLong(PyInt_AS_LONG(x)); |
| 1536 | } |
| 1537 | else { |
| 1538 | Py_DECREF(a); |
| 1539 | Py_DECREF(b); |
| 1540 | Py_INCREF(Py_NotImplemented); |
| 1541 | return Py_NotImplemented; |
| 1542 | } |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1543 | |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1544 | size_b = b->ob_size; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1545 | if (size_b < 0) { |
Tim Peters | c54d190 | 2000-10-06 00:36:09 +0000 | [diff] [blame] | 1546 | if (a->ob_size) |
| 1547 | PyErr_SetString(PyExc_ValueError, |
| 1548 | "long integer to a negative power"); |
| 1549 | else |
| 1550 | PyErr_SetString(PyExc_ZeroDivisionError, |
| 1551 | "zero to a negative power"); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1552 | z = NULL; |
| 1553 | goto error; |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1554 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1555 | z = (PyLongObject *)PyLong_FromLong(1L); |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1556 | for (i = 0; i < size_b; ++i) { |
| 1557 | digit bi = b->ob_digit[i]; |
| 1558 | int j; |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1559 | |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1560 | for (j = 0; j < SHIFT; ++j) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1561 | PyLongObject *temp; |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1562 | |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1563 | if (bi & 1) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1564 | temp = (PyLongObject *)long_mul(z, a); |
| 1565 | Py_DECREF(z); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1566 | if (c!=Py_None && temp!=NULL) { |
| 1567 | if (l_divmod(temp,(PyLongObject *)c, |
| 1568 | &div,&mod) < 0) { |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 1569 | Py_DECREF(temp); |
| 1570 | z = NULL; |
| 1571 | goto error; |
| 1572 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1573 | Py_XDECREF(div); |
| 1574 | Py_DECREF(temp); |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1575 | temp = mod; |
| 1576 | } |
| 1577 | z = temp; |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1578 | if (z == NULL) |
| 1579 | break; |
| 1580 | } |
| 1581 | bi >>= 1; |
| 1582 | if (bi == 0 && i+1 == size_b) |
| 1583 | break; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1584 | temp = (PyLongObject *)long_mul(a, a); |
| 1585 | Py_DECREF(a); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1586 | if (c!=Py_None && temp!=NULL) { |
| 1587 | if (l_divmod(temp, (PyLongObject *)c, &div, |
| 1588 | &mod) < 0) { |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 1589 | Py_DECREF(temp); |
| 1590 | z = NULL; |
| 1591 | goto error; |
| 1592 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1593 | Py_XDECREF(div); |
| 1594 | Py_DECREF(temp); |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1595 | temp = mod; |
| 1596 | } |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1597 | a = temp; |
| 1598 | if (a == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1599 | Py_DECREF(z); |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1600 | z = NULL; |
| 1601 | break; |
| 1602 | } |
| 1603 | } |
Guido van Rossum | c206c76 | 1995-01-10 15:23:19 +0000 | [diff] [blame] | 1604 | if (a == NULL || z == NULL) |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1605 | break; |
| 1606 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1607 | if (c!=Py_None && z!=NULL) { |
| 1608 | if (l_divmod(z, (PyLongObject *)c, &div, &mod) < 0) { |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 1609 | Py_DECREF(z); |
| 1610 | z = NULL; |
| 1611 | } |
| 1612 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1613 | Py_XDECREF(div); |
| 1614 | Py_DECREF(z); |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 1615 | z = mod; |
| 1616 | } |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1617 | } |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 1618 | error: |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1619 | Py_XDECREF(a); |
| 1620 | Py_DECREF(b); |
| 1621 | Py_DECREF(c); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1622 | return (PyObject *)z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1623 | } |
| 1624 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1625 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1626 | long_invert(PyLongObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1627 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1628 | /* Implement ~x as -(x+1) */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1629 | PyLongObject *x; |
| 1630 | PyLongObject *w; |
| 1631 | w = (PyLongObject *)PyLong_FromLong(1L); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1632 | if (w == NULL) |
| 1633 | return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1634 | x = (PyLongObject *) long_add(v, w); |
| 1635 | Py_DECREF(w); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1636 | if (x == NULL) |
| 1637 | return NULL; |
| 1638 | if (x->ob_size != 0) |
| 1639 | x->ob_size = -(x->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1640 | return (PyObject *)x; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1641 | } |
| 1642 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1643 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1644 | long_pos(PyLongObject *v) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1645 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1646 | Py_INCREF(v); |
| 1647 | return (PyObject *)v; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +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_neg(PyLongObject *v) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1652 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1653 | PyLongObject *z; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1654 | int i, n; |
| 1655 | n = ABS(v->ob_size); |
| 1656 | if (n == 0) { |
| 1657 | /* -0 == 0 */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1658 | Py_INCREF(v); |
| 1659 | return (PyObject *) v; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1660 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1661 | z = _PyLong_New(ABS(n)); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1662 | if (z == NULL) |
| 1663 | return NULL; |
| 1664 | for (i = 0; i < n; i++) |
| 1665 | z->ob_digit[i] = v->ob_digit[i]; |
| 1666 | z->ob_size = -(v->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1667 | return (PyObject *)z; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1668 | } |
| 1669 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1670 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1671 | long_abs(PyLongObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1672 | { |
| 1673 | if (v->ob_size < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1674 | return long_neg(v); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1675 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1676 | Py_INCREF(v); |
| 1677 | return (PyObject *)v; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1678 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1679 | } |
| 1680 | |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1681 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1682 | long_nonzero(PyLongObject *v) |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1683 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1684 | return ABS(v->ob_size) != 0; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1685 | } |
| 1686 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1687 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1688 | long_rshift(PyLongObject *v, PyLongObject *w) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1689 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1690 | PyLongObject *a, *b; |
| 1691 | PyLongObject *z = NULL; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1692 | long shiftby; |
| 1693 | int newsize, wordshift, loshift, hishift, i, j; |
| 1694 | digit lomask, himask; |
| 1695 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1696 | CONVERT_BINOP((PyObject *)v, (PyObject *)w, &a, &b); |
| 1697 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1698 | if (a->ob_size < 0) { |
| 1699 | /* Right shifting negative numbers is harder */ |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1700 | PyLongObject *a1, *a2; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1701 | a1 = (PyLongObject *) long_invert(a); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1702 | if (a1 == NULL) |
| 1703 | goto rshift_error; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1704 | a2 = (PyLongObject *) long_rshift(a1, b); |
| 1705 | Py_DECREF(a1); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1706 | if (a2 == NULL) |
| 1707 | goto rshift_error; |
| 1708 | z = (PyLongObject *) long_invert(a2); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1709 | Py_DECREF(a2); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1710 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1711 | else { |
| 1712 | |
| 1713 | shiftby = PyLong_AsLong((PyObject *)b); |
| 1714 | if (shiftby == -1L && PyErr_Occurred()) |
| 1715 | goto rshift_error; |
| 1716 | if (shiftby < 0) { |
| 1717 | PyErr_SetString(PyExc_ValueError, |
| 1718 | "negative shift count"); |
| 1719 | goto rshift_error; |
| 1720 | } |
| 1721 | wordshift = shiftby / SHIFT; |
| 1722 | newsize = ABS(a->ob_size) - wordshift; |
| 1723 | if (newsize <= 0) { |
| 1724 | z = _PyLong_New(0); |
| 1725 | Py_DECREF(a); |
| 1726 | Py_DECREF(b); |
| 1727 | return (PyObject *)z; |
| 1728 | } |
| 1729 | loshift = shiftby % SHIFT; |
| 1730 | hishift = SHIFT - loshift; |
| 1731 | lomask = ((digit)1 << hishift) - 1; |
| 1732 | himask = MASK ^ lomask; |
| 1733 | z = _PyLong_New(newsize); |
| 1734 | if (z == NULL) |
| 1735 | goto rshift_error; |
| 1736 | if (a->ob_size < 0) |
| 1737 | z->ob_size = -(z->ob_size); |
| 1738 | for (i = 0, j = wordshift; i < newsize; i++, j++) { |
| 1739 | z->ob_digit[i] = (a->ob_digit[j] >> loshift) & lomask; |
| 1740 | if (i+1 < newsize) |
| 1741 | z->ob_digit[i] |= |
| 1742 | (a->ob_digit[j+1] << hishift) & himask; |
| 1743 | } |
| 1744 | z = long_normalize(z); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1745 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1746 | rshift_error: |
| 1747 | Py_DECREF(a); |
| 1748 | Py_DECREF(b); |
| 1749 | return (PyObject *) z; |
| 1750 | |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1751 | } |
| 1752 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1753 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1754 | long_lshift(PyObject *v, PyObject *w) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1755 | { |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 1756 | /* This version due to Tim Peters */ |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1757 | PyLongObject *a, *b; |
| 1758 | PyLongObject *z = NULL; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1759 | long shiftby; |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 1760 | int oldsize, newsize, wordshift, remshift, i, j; |
| 1761 | twodigits accum; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1762 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1763 | CONVERT_BINOP(v, w, &a, &b); |
| 1764 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1765 | shiftby = PyLong_AsLong((PyObject *)b); |
| 1766 | if (shiftby == -1L && PyErr_Occurred()) |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1767 | goto lshift_error; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1768 | if (shiftby < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1769 | PyErr_SetString(PyExc_ValueError, "negative shift count"); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1770 | goto lshift_error; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1771 | } |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 1772 | if ((long)(int)shiftby != shiftby) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1773 | PyErr_SetString(PyExc_ValueError, |
| 1774 | "outrageous left shift count"); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1775 | goto lshift_error; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1776 | } |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 1777 | /* wordshift, remshift = divmod(shiftby, SHIFT) */ |
| 1778 | wordshift = (int)shiftby / SHIFT; |
| 1779 | remshift = (int)shiftby - wordshift * SHIFT; |
| 1780 | |
| 1781 | oldsize = ABS(a->ob_size); |
| 1782 | newsize = oldsize + wordshift; |
| 1783 | if (remshift) |
| 1784 | ++newsize; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1785 | z = _PyLong_New(newsize); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1786 | if (z == NULL) |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1787 | goto lshift_error; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1788 | if (a->ob_size < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1789 | z->ob_size = -(z->ob_size); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1790 | for (i = 0; i < wordshift; i++) |
| 1791 | z->ob_digit[i] = 0; |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 1792 | accum = 0; |
| 1793 | for (i = wordshift, j = 0; j < oldsize; i++, j++) { |
| 1794 | accum |= a->ob_digit[j] << remshift; |
| 1795 | z->ob_digit[i] = (digit)(accum & MASK); |
| 1796 | accum >>= SHIFT; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1797 | } |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 1798 | if (remshift) |
| 1799 | z->ob_digit[newsize-1] = (digit)accum; |
| 1800 | else |
| 1801 | assert(!accum); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1802 | z = long_normalize(z); |
| 1803 | lshift_error: |
| 1804 | Py_DECREF(a); |
| 1805 | Py_DECREF(b); |
| 1806 | return (PyObject *) z; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1807 | } |
| 1808 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1809 | |
| 1810 | /* Bitwise and/xor/or operations */ |
| 1811 | |
Guido van Rossum | afbb8db | 1991-12-31 13:14:13 +0000 | [diff] [blame] | 1812 | #define MAX(x, y) ((x) < (y) ? (y) : (x)) |
| 1813 | #define MIN(x, y) ((x) > (y) ? (y) : (x)) |
| 1814 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1815 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1816 | long_bitwise(PyLongObject *a, |
| 1817 | int op, /* '&', '|', '^' */ |
| 1818 | PyLongObject *b) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1819 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1820 | digit maska, maskb; /* 0 or MASK */ |
| 1821 | int negz; |
| 1822 | int size_a, size_b, size_z; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1823 | PyLongObject *z; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1824 | int i; |
Guido van Rossum | 8b27d92 | 1992-03-27 17:27:05 +0000 | [diff] [blame] | 1825 | digit diga, digb; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1826 | PyObject *v; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1827 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1828 | if (a->ob_size < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1829 | a = (PyLongObject *) long_invert(a); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1830 | maska = MASK; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1831 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1832 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1833 | Py_INCREF(a); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1834 | maska = 0; |
Guido van Rossum | afbb8db | 1991-12-31 13:14:13 +0000 | [diff] [blame] | 1835 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1836 | if (b->ob_size < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1837 | b = (PyLongObject *) long_invert(b); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1838 | maskb = MASK; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1839 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1840 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1841 | Py_INCREF(b); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1842 | maskb = 0; |
| 1843 | } |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1844 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1845 | negz = 0; |
| 1846 | switch (op) { |
| 1847 | case '^': |
| 1848 | if (maska != maskb) { |
| 1849 | maska ^= MASK; |
| 1850 | negz = -1; |
| 1851 | } |
| 1852 | break; |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1853 | case '&': |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1854 | if (maska && maskb) { |
| 1855 | op = '|'; |
| 1856 | maska ^= MASK; |
| 1857 | maskb ^= MASK; |
| 1858 | negz = -1; |
| 1859 | } |
| 1860 | break; |
| 1861 | case '|': |
| 1862 | if (maska || maskb) { |
| 1863 | op = '&'; |
| 1864 | maska ^= MASK; |
| 1865 | maskb ^= MASK; |
| 1866 | negz = -1; |
| 1867 | } |
| 1868 | break; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1869 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1870 | |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 1871 | /* JRH: The original logic here was to allocate the result value (z) |
| 1872 | as the longer of the two operands. However, there are some cases |
| 1873 | where the result is guaranteed to be shorter than that: AND of two |
| 1874 | positives, OR of two negatives: use the shorter number. AND with |
| 1875 | mixed signs: use the positive number. OR with mixed signs: use the |
| 1876 | negative number. After the transformations above, op will be '&' |
| 1877 | iff one of these cases applies, and mask will be non-0 for operands |
| 1878 | whose length should be ignored. |
| 1879 | */ |
| 1880 | |
| 1881 | size_a = a->ob_size; |
| 1882 | size_b = b->ob_size; |
| 1883 | size_z = op == '&' |
| 1884 | ? (maska |
| 1885 | ? size_b |
| 1886 | : (maskb ? size_a : MIN(size_a, size_b))) |
| 1887 | : MAX(size_a, size_b); |
| 1888 | z = _PyLong_New(size_z); |
| 1889 | if (a == NULL || b == NULL || z == NULL) { |
| 1890 | Py_XDECREF(a); |
| 1891 | Py_XDECREF(b); |
| 1892 | Py_XDECREF(z); |
| 1893 | return NULL; |
| 1894 | } |
| 1895 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1896 | for (i = 0; i < size_z; ++i) { |
| 1897 | diga = (i < size_a ? a->ob_digit[i] : 0) ^ maska; |
| 1898 | digb = (i < size_b ? b->ob_digit[i] : 0) ^ maskb; |
| 1899 | switch (op) { |
| 1900 | case '&': z->ob_digit[i] = diga & digb; break; |
| 1901 | case '|': z->ob_digit[i] = diga | digb; break; |
| 1902 | case '^': z->ob_digit[i] = diga ^ digb; break; |
| 1903 | } |
Guido van Rossum | afbb8db | 1991-12-31 13:14:13 +0000 | [diff] [blame] | 1904 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1905 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1906 | Py_DECREF(a); |
| 1907 | Py_DECREF(b); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1908 | z = long_normalize(z); |
| 1909 | if (negz == 0) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1910 | return (PyObject *) z; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1911 | v = long_invert(z); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1912 | Py_DECREF(z); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1913 | return v; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1914 | } |
| 1915 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1916 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1917 | long_and(PyObject *v, PyObject *w) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1918 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1919 | PyLongObject *a, *b; |
| 1920 | PyObject *c; |
| 1921 | CONVERT_BINOP(v, w, &a, &b); |
| 1922 | c = long_bitwise(a, '&', b); |
| 1923 | Py_DECREF(a); |
| 1924 | Py_DECREF(b); |
| 1925 | return c; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1926 | } |
| 1927 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1928 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1929 | long_xor(PyObject *v, PyObject *w) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1930 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1931 | PyLongObject *a, *b; |
| 1932 | PyObject *c; |
| 1933 | CONVERT_BINOP(v, w, &a, &b); |
| 1934 | c = long_bitwise(a, '^', b); |
| 1935 | Py_DECREF(a); |
| 1936 | Py_DECREF(b); |
| 1937 | return c; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1938 | } |
| 1939 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1940 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1941 | long_or(PyObject *v, PyObject *w) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1942 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1943 | PyLongObject *a, *b; |
| 1944 | PyObject *c; |
| 1945 | CONVERT_BINOP(v, w, &a, &b); |
| 1946 | c = long_bitwise(a, '|', b); |
| 1947 | Py_DECREF(a); |
| 1948 | Py_DECREF(b); |
| 1949 | return c; |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1950 | } |
| 1951 | |
Guido van Rossum | 234f942 | 1993-06-17 12:35:49 +0000 | [diff] [blame] | 1952 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1953 | long_coerce(PyObject **pv, PyObject **pw) |
Guido van Rossum | e6eefc2 | 1992-08-14 12:06:52 +0000 | [diff] [blame] | 1954 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1955 | if (PyInt_Check(*pw)) { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1956 | *pw = PyLong_FromLong(PyInt_AS_LONG(*pw)); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1957 | Py_INCREF(*pv); |
Guido van Rossum | e6eefc2 | 1992-08-14 12:06:52 +0000 | [diff] [blame] | 1958 | return 0; |
| 1959 | } |
| 1960 | return 1; /* Can't do it */ |
| 1961 | } |
| 1962 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1963 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1964 | long_int(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1965 | { |
| 1966 | long x; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1967 | x = PyLong_AsLong(v); |
| 1968 | if (PyErr_Occurred()) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1969 | return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1970 | return PyInt_FromLong(x); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1971 | } |
| 1972 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1973 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1974 | long_long(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1975 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1976 | Py_INCREF(v); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1977 | return v; |
| 1978 | } |
| 1979 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1980 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1981 | long_float(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1982 | { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 1983 | double result; |
| 1984 | PyFPE_START_PROTECT("long_float", return 0) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1985 | result = PyLong_AsDouble(v); |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 1986 | PyFPE_END_PROTECT(result) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1987 | return PyFloat_FromDouble(result); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1988 | } |
| 1989 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1990 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1991 | long_oct(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1992 | { |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 1993 | return long_format(v, 8, 1); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1994 | } |
| 1995 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1996 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1997 | long_hex(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 1998 | { |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 1999 | return long_format(v, 16, 1); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2000 | } |
| 2001 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2002 | static PyNumberMethods long_as_number = { |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2003 | (binaryfunc) long_add, /*nb_add*/ |
| 2004 | (binaryfunc) long_sub, /*nb_subtract*/ |
| 2005 | (binaryfunc) long_mul, /*nb_multiply*/ |
| 2006 | (binaryfunc) long_div, /*nb_divide*/ |
| 2007 | (binaryfunc) long_mod, /*nb_remainder*/ |
| 2008 | (binaryfunc) long_divmod, /*nb_divmod*/ |
| 2009 | (ternaryfunc) long_pow, /*nb_power*/ |
| 2010 | (unaryfunc) long_neg, /*nb_negative*/ |
| 2011 | (unaryfunc) long_pos, /*tp_positive*/ |
| 2012 | (unaryfunc) long_abs, /*tp_absolute*/ |
| 2013 | (inquiry) long_nonzero, /*tp_nonzero*/ |
| 2014 | (unaryfunc) long_invert, /*nb_invert*/ |
| 2015 | (binaryfunc) long_lshift, /*nb_lshift*/ |
| 2016 | (binaryfunc) long_rshift, /*nb_rshift*/ |
| 2017 | (binaryfunc) long_and, /*nb_and*/ |
| 2018 | (binaryfunc) long_xor, /*nb_xor*/ |
| 2019 | (binaryfunc) long_or, /*nb_or*/ |
Tim Peters | 9ace6bc | 2000-07-08 00:32:04 +0000 | [diff] [blame] | 2020 | (coercion) long_coerce, /*nb_coerce*/ |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2021 | (unaryfunc) long_int, /*nb_int*/ |
| 2022 | (unaryfunc) long_long, /*nb_long*/ |
| 2023 | (unaryfunc) long_float, /*nb_float*/ |
| 2024 | (unaryfunc) long_oct, /*nb_oct*/ |
| 2025 | (unaryfunc) long_hex, /*nb_hex*/ |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2026 | 0, /*nb_inplace_add*/ |
| 2027 | 0, /*nb_inplace_subtract*/ |
| 2028 | 0, /*nb_inplace_multiply*/ |
| 2029 | 0, /*nb_inplace_divide*/ |
| 2030 | 0, /*nb_inplace_remainder*/ |
| 2031 | 0, /*nb_inplace_power*/ |
| 2032 | 0, /*nb_inplace_lshift*/ |
| 2033 | 0, /*nb_inplace_rshift*/ |
| 2034 | 0, /*nb_inplace_and*/ |
| 2035 | 0, /*nb_inplace_xor*/ |
| 2036 | 0, /*nb_inplace_or*/ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2037 | }; |
| 2038 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2039 | PyTypeObject PyLong_Type = { |
| 2040 | PyObject_HEAD_INIT(&PyType_Type) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2041 | 0, |
| 2042 | "long int", |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2043 | sizeof(PyLongObject) - sizeof(digit), |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2044 | sizeof(digit), |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2045 | (destructor)long_dealloc, /*tp_dealloc*/ |
| 2046 | 0, /*tp_print*/ |
| 2047 | 0, /*tp_getattr*/ |
| 2048 | 0, /*tp_setattr*/ |
Tim Peters | 9ace6bc | 2000-07-08 00:32:04 +0000 | [diff] [blame] | 2049 | (cmpfunc)long_compare, /*tp_compare*/ |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2050 | (reprfunc)long_repr, /*tp_repr*/ |
| 2051 | &long_as_number, /*tp_as_number*/ |
| 2052 | 0, /*tp_as_sequence*/ |
| 2053 | 0, /*tp_as_mapping*/ |
Tim Peters | 9ace6bc | 2000-07-08 00:32:04 +0000 | [diff] [blame] | 2054 | (hashfunc)long_hash, /*tp_hash*/ |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2055 | 0, /*tp_call*/ |
| 2056 | (reprfunc)long_str, /*tp_str*/ |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2057 | 0, /*tp_getattro*/ |
| 2058 | 0, /*tp_setattro*/ |
| 2059 | 0, /*tp_as_buffer*/ |
Guido van Rossum | 6fd867b | 2001-01-17 15:33:18 +0000 | [diff] [blame] | 2060 | Py_TPFLAGS_CHECKTYPES /*tp_flags*/ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2061 | }; |