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 | { |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 60 | /* Assume a C long fits in at most 5 'digits' */ |
| 61 | /* Works on both 32- and 64-bit machines */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 62 | PyLongObject *v = _PyLong_New(5); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 63 | if (v != NULL) { |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 64 | unsigned long t = ival; |
| 65 | int i; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 66 | if (ival < 0) { |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 67 | t = -ival; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 68 | v->ob_size = -(v->ob_size); |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 69 | } |
| 70 | for (i = 0; i < 5; i++) { |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 71 | v->ob_digit[i] = (digit) (t & MASK); |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 72 | t >>= SHIFT; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 73 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 74 | v = long_normalize(v); |
| 75 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 76 | return (PyObject *)v; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 77 | } |
| 78 | |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 79 | /* Create a new long int object from a C unsigned long int */ |
| 80 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 81 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 82 | PyLong_FromUnsignedLong(unsigned long ival) |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 83 | { |
| 84 | /* Assume a C long fits in at most 5 'digits' */ |
| 85 | /* Works on both 32- and 64-bit machines */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 86 | PyLongObject *v = _PyLong_New(5); |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 87 | if (v != NULL) { |
| 88 | unsigned long t = ival; |
| 89 | int i; |
| 90 | for (i = 0; i < 5; i++) { |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 91 | v->ob_digit[i] = (digit) (t & MASK); |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 92 | t >>= SHIFT; |
| 93 | } |
| 94 | v = long_normalize(v); |
| 95 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 96 | return (PyObject *)v; |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 97 | } |
| 98 | |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 99 | /* Create a new long int object from a C double */ |
| 100 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 101 | PyObject * |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 102 | PyLong_FromDouble(double dval) |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 103 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 104 | PyLongObject *v; |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 105 | double frac; |
| 106 | int i, ndig, expo, neg; |
| 107 | neg = 0; |
Tim Peters | 39dce29 | 2000-08-15 03:34:48 +0000 | [diff] [blame] | 108 | if (Py_IS_INFINITY(dval)) { |
Guido van Rossum | 1a23c24 | 1999-09-27 17:11:52 +0000 | [diff] [blame] | 109 | PyErr_SetString(PyExc_OverflowError, |
| 110 | "cannot convert float infinity to long"); |
| 111 | return NULL; |
| 112 | } |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 113 | if (dval < 0.0) { |
| 114 | neg = 1; |
| 115 | dval = -dval; |
| 116 | } |
| 117 | frac = frexp(dval, &expo); /* dval = frac*2**expo; 0.0 <= frac < 1.0 */ |
| 118 | if (expo <= 0) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 119 | return PyLong_FromLong(0L); |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 120 | ndig = (expo-1) / SHIFT + 1; /* Number of 'digits' in result */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 121 | v = _PyLong_New(ndig); |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 122 | if (v == NULL) |
| 123 | return NULL; |
| 124 | frac = ldexp(frac, (expo-1) % SHIFT + 1); |
| 125 | for (i = ndig; --i >= 0; ) { |
| 126 | long bits = (long)frac; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 127 | v->ob_digit[i] = (digit) bits; |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 128 | frac = frac - (double)bits; |
| 129 | frac = ldexp(frac, SHIFT); |
| 130 | } |
| 131 | if (neg) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 132 | v->ob_size = -(v->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 133 | return (PyObject *)v; |
Guido van Rossum | 149e9ea | 1991-06-03 10:58:24 +0000 | [diff] [blame] | 134 | } |
| 135 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 136 | /* Get a C long int from a long int object. |
| 137 | Returns -1 and sets an error condition if overflow occurs. */ |
| 138 | |
| 139 | long |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 140 | PyLong_AsLong(PyObject *vv) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 141 | { |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 142 | /* This version by Tim Peters */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 143 | register PyLongObject *v; |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 144 | unsigned long x, prev; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 145 | int i, sign; |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 146 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 147 | if (vv == NULL || !PyLong_Check(vv)) { |
| 148 | PyErr_BadInternalCall(); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 149 | return -1; |
| 150 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 151 | v = (PyLongObject *)vv; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 152 | i = v->ob_size; |
| 153 | sign = 1; |
| 154 | x = 0; |
| 155 | if (i < 0) { |
| 156 | sign = -1; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 157 | i = -(i); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 158 | } |
| 159 | while (--i >= 0) { |
| 160 | prev = x; |
| 161 | x = (x << SHIFT) + v->ob_digit[i]; |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 162 | if ((x >> SHIFT) != prev) |
| 163 | goto overflow; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 164 | } |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 165 | /* Haven't lost any bits, but if the sign bit is set we're in |
| 166 | * trouble *unless* this is the min negative number. So, |
| 167 | * trouble iff sign bit set && (positive || some bit set other |
| 168 | * than the sign bit). |
| 169 | */ |
| 170 | if ((long)x < 0 && (sign > 0 || (x << 1) != 0)) |
| 171 | goto overflow; |
| 172 | return (long)x * sign; |
| 173 | |
| 174 | overflow: |
| 175 | PyErr_SetString(PyExc_OverflowError, |
Fred Drake | 661ea26 | 2000-10-24 19:57:45 +0000 | [diff] [blame] | 176 | "long int too large to convert"); |
Guido van Rossum | f753181 | 1998-05-26 14:33:37 +0000 | [diff] [blame] | 177 | return -1; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 178 | } |
| 179 | |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 180 | /* Get a C long int from a long int object. |
| 181 | Returns -1 and sets an error condition if overflow occurs. */ |
| 182 | |
| 183 | unsigned long |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 184 | PyLong_AsUnsignedLong(PyObject *vv) |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 185 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 186 | register PyLongObject *v; |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 187 | unsigned long x, prev; |
| 188 | int i; |
| 189 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 190 | if (vv == NULL || !PyLong_Check(vv)) { |
| 191 | PyErr_BadInternalCall(); |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 192 | return (unsigned long) -1; |
| 193 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 194 | v = (PyLongObject *)vv; |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 195 | i = v->ob_size; |
| 196 | x = 0; |
| 197 | if (i < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 198 | PyErr_SetString(PyExc_OverflowError, |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 199 | "can't convert negative value to unsigned long"); |
| 200 | return (unsigned long) -1; |
| 201 | } |
| 202 | while (--i >= 0) { |
| 203 | prev = x; |
| 204 | x = (x << SHIFT) + v->ob_digit[i]; |
| 205 | if ((x >> SHIFT) != prev) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 206 | PyErr_SetString(PyExc_OverflowError, |
Fred Drake | 661ea26 | 2000-10-24 19:57:45 +0000 | [diff] [blame] | 207 | "long int too large to convert"); |
Guido van Rossum | 53756b1 | 1997-01-03 17:14:46 +0000 | [diff] [blame] | 208 | return (unsigned long) -1; |
| 209 | } |
| 210 | } |
| 211 | return x; |
| 212 | } |
| 213 | |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 214 | PyObject * |
| 215 | _PyLong_FromByteArray(const unsigned char* bytes, size_t n, |
| 216 | int little_endian, int is_signed) |
| 217 | { |
| 218 | const unsigned char* pstartbyte;/* LSB of bytes */ |
| 219 | int incr; /* direction to move pstartbyte */ |
| 220 | const unsigned char* pendbyte; /* MSB of bytes */ |
| 221 | size_t numsignificantbytes; /* number of bytes that matter */ |
| 222 | size_t ndigits; /* number of Python long digits */ |
| 223 | PyLongObject* v; /* result */ |
| 224 | int idigit = 0; /* next free index in v->ob_digit */ |
| 225 | |
| 226 | if (n == 0) |
| 227 | return PyLong_FromLong(0L); |
| 228 | |
| 229 | if (little_endian) { |
| 230 | pstartbyte = bytes; |
| 231 | pendbyte = bytes + n - 1; |
| 232 | incr = 1; |
| 233 | } |
| 234 | else { |
| 235 | pstartbyte = bytes + n - 1; |
| 236 | pendbyte = bytes; |
| 237 | incr = -1; |
| 238 | } |
| 239 | |
| 240 | if (is_signed) |
| 241 | is_signed = *pendbyte >= 0x80; |
| 242 | |
| 243 | /* Compute numsignificantbytes. This consists of finding the most |
| 244 | significant byte. Leading 0 bytes are insignficant if the number |
| 245 | is positive, and leading 0xff bytes if negative. */ |
| 246 | { |
| 247 | size_t i; |
| 248 | const unsigned char* p = pendbyte; |
| 249 | const int pincr = -incr; /* search MSB to LSB */ |
| 250 | const unsigned char insignficant = is_signed ? 0xff : 0x00; |
| 251 | |
| 252 | for (i = 0; i < n; ++i, p += pincr) { |
| 253 | if (*p != insignficant) |
| 254 | break; |
| 255 | } |
| 256 | numsignificantbytes = n - i; |
| 257 | /* 2's-comp is a bit tricky here, e.g. 0xff00 == -0x0100, so |
| 258 | actually has 2 significant bytes. OTOH, 0xff0001 == |
| 259 | -0x00ffff, so we wouldn't *need* to bump it there; but we |
| 260 | do for 0xffff = -0x0001. To be safe without bothering to |
| 261 | check every case, bump it regardless. */ |
| 262 | if (is_signed && numsignificantbytes < n) |
| 263 | ++numsignificantbytes; |
| 264 | } |
| 265 | |
| 266 | /* How many Python long digits do we need? We have |
| 267 | 8*numsignificantbytes bits, and each Python long digit has SHIFT |
| 268 | bits, so it's the ceiling of the quotient. */ |
| 269 | ndigits = (numsignificantbytes * 8 + SHIFT - 1) / SHIFT; |
| 270 | if (ndigits > (size_t)INT_MAX) |
| 271 | return PyErr_NoMemory(); |
| 272 | v = _PyLong_New((int)ndigits); |
| 273 | if (v == NULL) |
| 274 | return NULL; |
| 275 | |
| 276 | /* Copy the bits over. The tricky parts are computing 2's-comp on |
| 277 | the fly for signed numbers, and dealing with the mismatch between |
| 278 | 8-bit bytes and (probably) 15-bit Python digits.*/ |
| 279 | { |
| 280 | size_t i; |
| 281 | unsigned int carry = 1; /* for 2's-comp calculation */ |
| 282 | twodigits accum = 0; /* sliding register */ |
| 283 | unsigned int accumbits = 0; /* number of bits in accum */ |
| 284 | const unsigned char* p = pstartbyte; |
| 285 | |
| 286 | for (i = 0; i < numsignificantbytes; ++i, p += incr) { |
Tim Peters | 8bc84b4 | 2001-06-12 19:17:03 +0000 | [diff] [blame^] | 287 | twodigits thisbyte = *p; |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 288 | /* Compute correction for 2's comp, if needed. */ |
| 289 | if (is_signed) { |
| 290 | thisbyte = (0xff ^ thisbyte) + carry; |
| 291 | carry = thisbyte >> 8; |
| 292 | thisbyte &= 0xff; |
| 293 | } |
| 294 | /* Because we're going LSB to MSB, thisbyte is |
| 295 | more significant than what's already in accum, |
| 296 | so needs to be prepended to accum. */ |
| 297 | accum |= thisbyte << accumbits; |
| 298 | accumbits += 8; |
| 299 | if (accumbits >= SHIFT) { |
| 300 | /* There's enough to fill a Python digit. */ |
| 301 | assert(idigit < (int)ndigits); |
| 302 | v->ob_digit[idigit] = (digit)(accum & MASK); |
| 303 | ++idigit; |
| 304 | accum >>= SHIFT; |
| 305 | accumbits -= SHIFT; |
| 306 | assert(accumbits < SHIFT); |
| 307 | } |
| 308 | } |
| 309 | assert(accumbits < SHIFT); |
| 310 | if (accumbits) { |
| 311 | assert(idigit < (int)ndigits); |
| 312 | v->ob_digit[idigit] = (digit)accum; |
| 313 | ++idigit; |
| 314 | } |
| 315 | } |
| 316 | |
| 317 | v->ob_size = is_signed ? -idigit : idigit; |
| 318 | return (PyObject *)long_normalize(v); |
| 319 | } |
| 320 | |
| 321 | int |
| 322 | _PyLong_AsByteArray(PyLongObject* v, |
| 323 | unsigned char* bytes, size_t n, |
| 324 | int little_endian, int is_signed) |
| 325 | { |
| 326 | int i; /* index into v->ob_digit */ |
| 327 | int ndigits; /* |v->ob_size| */ |
| 328 | twodigits accum; /* sliding register */ |
| 329 | unsigned int accumbits; /* # bits in accum */ |
| 330 | int do_twos_comp; /* store 2's-comp? is_signed and v < 0 */ |
| 331 | twodigits carry; /* for computing 2's-comp */ |
| 332 | size_t j; /* # bytes filled */ |
| 333 | unsigned char* p; /* pointer to next byte in bytes */ |
| 334 | int pincr; /* direction to move p */ |
| 335 | |
| 336 | assert(v != NULL && PyLong_Check(v)); |
| 337 | |
| 338 | if (v->ob_size < 0) { |
| 339 | ndigits = -(v->ob_size); |
| 340 | if (!is_signed) { |
| 341 | PyErr_SetString(PyExc_TypeError, |
| 342 | "can't convert negative long to unsigned"); |
| 343 | return -1; |
| 344 | } |
| 345 | do_twos_comp = 1; |
| 346 | } |
| 347 | else { |
| 348 | ndigits = v->ob_size; |
| 349 | do_twos_comp = 0; |
| 350 | } |
| 351 | |
| 352 | if (little_endian) { |
| 353 | p = bytes; |
| 354 | pincr = 1; |
| 355 | } |
| 356 | else { |
| 357 | p = bytes + n - 1; |
| 358 | pincr = -1; |
| 359 | } |
| 360 | |
| 361 | /* Copy over all the Python digits. */ |
| 362 | j = 0; |
| 363 | accum = 0; |
| 364 | accumbits = 0; |
| 365 | carry = do_twos_comp ? 1 : 0; |
| 366 | for (i = 0; i < ndigits; ++i) { |
Tim Peters | 8bc84b4 | 2001-06-12 19:17:03 +0000 | [diff] [blame^] | 367 | unsigned int numnewbits = SHIFT; |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 368 | twodigits thisdigit = v->ob_digit[i]; |
| 369 | if (do_twos_comp) { |
| 370 | thisdigit = (thisdigit ^ MASK) + carry; |
| 371 | carry = thisdigit >> SHIFT; |
| 372 | thisdigit &= MASK; |
| 373 | } |
Tim Peters | 8bc84b4 | 2001-06-12 19:17:03 +0000 | [diff] [blame^] | 374 | /* Because we're going LSB to MSB, thisdigit is more |
| 375 | significant than what's already in accum, so needs to be |
| 376 | prepended to accum. */ |
| 377 | accum |= thisdigit << accumbits; |
| 378 | |
| 379 | /* How many new bits did we add? The most-significant digit |
| 380 | may be (probably is) at least partly empty. */ |
| 381 | if (i == ndigits - 1) { |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 382 | twodigits bitmask = 1 << (SHIFT - 1); |
| 383 | twodigits signbit = do_twos_comp << (SHIFT - 1); |
| 384 | unsigned int nsignbits = 0; |
| 385 | while ((thisdigit & bitmask) == signbit && bitmask) { |
| 386 | ++nsignbits; |
| 387 | bitmask >>= 1; |
| 388 | signbit >>= 1; |
| 389 | } |
Tim Peters | 8bc84b4 | 2001-06-12 19:17:03 +0000 | [diff] [blame^] | 390 | assert(nsignbits <= SHIFT); |
| 391 | numnewbits -= nsignbits; |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 392 | } |
Tim Peters | 8bc84b4 | 2001-06-12 19:17:03 +0000 | [diff] [blame^] | 393 | accumbits += numnewbits; |
| 394 | |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 395 | /* Store as many bytes as possible. */ |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 396 | while (accumbits >= 8) { |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 397 | if (j >= n) |
| 398 | goto Overflow; |
| 399 | ++j; |
| 400 | *p = (unsigned char)(accum & 0xff); |
| 401 | p += pincr; |
| 402 | accumbits -= 8; |
| 403 | accum >>= 8; |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 404 | } |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 405 | } |
| 406 | |
| 407 | /* Store the straggler (if any). */ |
| 408 | assert(accumbits < 8); |
| 409 | assert(carry == 0); /* else do_twos_comp and *every* digit was 0 */ |
Tim Peters | 7a3bfc3 | 2001-06-12 01:22:22 +0000 | [diff] [blame] | 410 | if (accumbits > 0) { |
Tim Peters | 2a9b367 | 2001-06-11 21:23:58 +0000 | [diff] [blame] | 411 | if (j >= n) |
| 412 | goto Overflow; |
| 413 | ++j; |
| 414 | if (do_twos_comp) { |
| 415 | /* Fill leading bits of the byte with sign bits |
| 416 | (appropriately pretending that the long had an |
| 417 | infinite supply of sign bits). */ |
| 418 | accum |= (~(twodigits)0) << accumbits; |
| 419 | } |
| 420 | *p = (unsigned char)(accum & 0xff); |
| 421 | p += pincr; |
| 422 | } |
| 423 | |
| 424 | /* Fill remaining bytes with copies of the sign bit. */ |
| 425 | for ( ; j < n; ++j, p += pincr) |
| 426 | *p = (unsigned char)(do_twos_comp ? 0xff : 0); |
| 427 | |
| 428 | /* Check for delicate overflow (not enough room for the sign bit). */ |
| 429 | if (j > 0 && is_signed) { |
| 430 | unsigned char msb = *(p - pincr); |
| 431 | int sign_bit_set = (msb & 0x80) != 0; |
| 432 | if (sign_bit_set != do_twos_comp) |
| 433 | goto Overflow; |
| 434 | } |
| 435 | return 0; |
| 436 | |
| 437 | Overflow: |
| 438 | PyErr_SetString(PyExc_OverflowError, "long too big to convert"); |
| 439 | return -1; |
| 440 | |
| 441 | } |
| 442 | |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 443 | /* Get a C double from a long int object. */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 444 | |
| 445 | double |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 446 | PyLong_AsDouble(PyObject *vv) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 447 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 448 | register PyLongObject *v; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 449 | double x; |
| 450 | double multiplier = (double) (1L << SHIFT); |
| 451 | int i, sign; |
| 452 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 453 | if (vv == NULL || !PyLong_Check(vv)) { |
| 454 | PyErr_BadInternalCall(); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 455 | return -1; |
| 456 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 457 | v = (PyLongObject *)vv; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 458 | i = v->ob_size; |
| 459 | sign = 1; |
| 460 | x = 0.0; |
| 461 | if (i < 0) { |
| 462 | sign = -1; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 463 | i = -(i); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 464 | } |
| 465 | while (--i >= 0) { |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 466 | x = x*multiplier + (double)v->ob_digit[i]; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 467 | } |
| 468 | return x * sign; |
| 469 | } |
| 470 | |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 471 | /* Create a new long (or int) object from a C pointer */ |
| 472 | |
| 473 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 474 | PyLong_FromVoidPtr(void *p) |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 475 | { |
| 476 | #if SIZEOF_VOID_P == SIZEOF_LONG |
| 477 | return PyInt_FromLong((long)p); |
| 478 | #else |
| 479 | /* optimize null pointers */ |
| 480 | if ( p == NULL ) |
| 481 | return PyInt_FromLong(0); |
| 482 | |
| 483 | /* we can assume that HAVE_LONG_LONG is true. if not, then the |
| 484 | configuration process should have bailed (having big pointers |
| 485 | without long longs seems non-sensical) */ |
| 486 | return PyLong_FromLongLong((LONG_LONG)p); |
| 487 | #endif /* SIZEOF_VOID_P == SIZEOF_LONG */ |
| 488 | } |
| 489 | |
| 490 | /* Get a C pointer from a long object (or an int object in some cases) */ |
| 491 | |
| 492 | void * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 493 | PyLong_AsVoidPtr(PyObject *vv) |
Guido van Rossum | 78694d9 | 1998-09-18 14:14:13 +0000 | [diff] [blame] | 494 | { |
| 495 | /* This function will allow int or long objects. If vv is neither, |
| 496 | then the PyLong_AsLong*() functions will raise the exception: |
| 497 | PyExc_SystemError, "bad argument to internal function" |
| 498 | */ |
| 499 | |
| 500 | #if SIZEOF_VOID_P == SIZEOF_LONG |
| 501 | long x; |
| 502 | |
| 503 | if ( PyInt_Check(vv) ) |
| 504 | x = PyInt_AS_LONG(vv); |
| 505 | else |
| 506 | x = PyLong_AsLong(vv); |
| 507 | #else |
| 508 | /* we can assume that HAVE_LONG_LONG is true. if not, then the |
| 509 | configuration process should have bailed (having big pointers |
| 510 | without long longs seems non-sensical) */ |
| 511 | LONG_LONG x; |
| 512 | |
| 513 | if ( PyInt_Check(vv) ) |
| 514 | x = PyInt_AS_LONG(vv); |
| 515 | else |
| 516 | x = PyLong_AsLongLong(vv); |
| 517 | #endif /* SIZEOF_VOID_P == SIZEOF_LONG */ |
| 518 | |
| 519 | if (x == -1 && PyErr_Occurred()) |
| 520 | return NULL; |
| 521 | return (void *)x; |
| 522 | } |
| 523 | |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 524 | #ifdef HAVE_LONG_LONG |
| 525 | /* |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 526 | * LONG_LONG support by Chris Herborth (chrish@qnx.com) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 527 | * |
| 528 | * For better or worse :-), I tried to follow the coding style already |
| 529 | * here. |
| 530 | */ |
| 531 | |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 532 | /* 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] | 533 | |
| 534 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 535 | PyLong_FromLongLong(LONG_LONG ival) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 536 | { |
| 537 | #if SIZEOF_LONG_LONG == SIZEOF_LONG |
| 538 | /* In case the compiler is faking it. */ |
| 539 | return PyLong_FromLong( (long)ival ); |
| 540 | #else |
Fred Drake | 4c7fdfc | 2000-06-01 18:37:36 +0000 | [diff] [blame] | 541 | if ((LONG_LONG)LONG_MIN <= ival && ival <= (LONG_LONG)LONG_MAX) { |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 542 | return PyLong_FromLong( (long)ival ); |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 543 | } |
Fred Drake | 4c7fdfc | 2000-06-01 18:37:36 +0000 | [diff] [blame] | 544 | else if (0 <= ival && ival <= (unsigned LONG_LONG)ULONG_MAX) { |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 545 | return PyLong_FromUnsignedLong( (unsigned long)ival ); |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 546 | } |
| 547 | else { |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 548 | /* Assume a C LONG_LONG fits in at most 10 'digits'. |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 549 | * Should be OK if we're assuming long fits in 5. |
| 550 | */ |
| 551 | PyLongObject *v = _PyLong_New(10); |
| 552 | |
| 553 | if (v != NULL) { |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 554 | unsigned LONG_LONG t = ival; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 555 | int i; |
| 556 | if (ival < 0) { |
| 557 | t = -ival; |
| 558 | v->ob_size = -(v->ob_size); |
| 559 | } |
| 560 | |
| 561 | for (i = 0; i < 10; i++) { |
| 562 | v->ob_digit[i] = (digit) (t & MASK); |
| 563 | t >>= SHIFT; |
| 564 | } |
| 565 | |
| 566 | v = long_normalize(v); |
| 567 | } |
| 568 | |
| 569 | return (PyObject *)v; |
| 570 | } |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 571 | #endif |
| 572 | } |
| 573 | |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 574 | /* Create a new long int object from a C unsigned LONG_LONG int */ |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 575 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 576 | PyLong_FromUnsignedLongLong(unsigned LONG_LONG ival) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 577 | { |
| 578 | #if SIZEOF_LONG_LONG == SIZEOF_LONG |
| 579 | /* In case the compiler is faking it. */ |
| 580 | return PyLong_FromUnsignedLong( (unsigned long)ival ); |
| 581 | #else |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 582 | if( ival <= (unsigned LONG_LONG)ULONG_MAX ) { |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 583 | return PyLong_FromUnsignedLong( (unsigned long)ival ); |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 584 | } |
| 585 | else { |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 586 | /* Assume a C long fits in at most 10 'digits'. */ |
| 587 | PyLongObject *v = _PyLong_New(10); |
| 588 | |
| 589 | if (v != NULL) { |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 590 | unsigned LONG_LONG t = ival; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 591 | int i; |
| 592 | for (i = 0; i < 10; i++) { |
| 593 | v->ob_digit[i] = (digit) (t & MASK); |
| 594 | t >>= SHIFT; |
| 595 | } |
| 596 | |
| 597 | v = long_normalize(v); |
| 598 | } |
| 599 | |
| 600 | return (PyObject *)v; |
| 601 | } |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 602 | #endif |
| 603 | } |
| 604 | |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 605 | /* Get a C LONG_LONG int from a long int object. |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 606 | Returns -1 and sets an error condition if overflow occurs. */ |
| 607 | |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 608 | LONG_LONG |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 609 | PyLong_AsLongLong(PyObject *vv) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 610 | { |
| 611 | #if SIZEOF_LONG_LONG == SIZEOF_LONG |
| 612 | /* In case the compiler is faking it. */ |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 613 | return (LONG_LONG)PyLong_AsLong( vv ); |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 614 | #else |
| 615 | register PyLongObject *v; |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 616 | LONG_LONG x, prev; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 617 | int i, sign; |
| 618 | |
| 619 | if (vv == NULL || !PyLong_Check(vv)) { |
| 620 | PyErr_BadInternalCall(); |
| 621 | return -1; |
| 622 | } |
| 623 | |
| 624 | v = (PyLongObject *)vv; |
| 625 | i = v->ob_size; |
| 626 | sign = 1; |
| 627 | x = 0; |
| 628 | |
| 629 | if (i < 0) { |
| 630 | sign = -1; |
| 631 | i = -(i); |
| 632 | } |
| 633 | |
| 634 | while (--i >= 0) { |
| 635 | prev = x; |
| 636 | x = (x << SHIFT) + v->ob_digit[i]; |
| 637 | if ((x >> SHIFT) != prev) { |
| 638 | PyErr_SetString(PyExc_OverflowError, |
| 639 | "long int too long to convert"); |
| 640 | return -1; |
| 641 | } |
| 642 | } |
| 643 | |
| 644 | return x * sign; |
| 645 | #endif |
| 646 | } |
| 647 | |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 648 | unsigned LONG_LONG |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 649 | PyLong_AsUnsignedLongLong(PyObject *vv) |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 650 | { |
| 651 | #if SIZEOF_LONG_LONG == 4 |
| 652 | /* In case the compiler is faking it. */ |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 653 | return (unsigned LONG_LONG)PyLong_AsUnsignedLong( vv ); |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 654 | #else |
| 655 | register PyLongObject *v; |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 656 | unsigned LONG_LONG x, prev; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 657 | int i; |
| 658 | |
| 659 | if (vv == NULL || !PyLong_Check(vv)) { |
| 660 | PyErr_BadInternalCall(); |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 661 | return (unsigned LONG_LONG) -1; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 662 | } |
| 663 | |
| 664 | v = (PyLongObject *)vv; |
| 665 | i = v->ob_size; |
| 666 | x = 0; |
| 667 | |
| 668 | if (i < 0) { |
| 669 | PyErr_SetString(PyExc_OverflowError, |
| 670 | "can't convert negative value to unsigned long"); |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 671 | return (unsigned LONG_LONG) -1; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 672 | } |
| 673 | |
| 674 | while (--i >= 0) { |
| 675 | prev = x; |
| 676 | x = (x << SHIFT) + v->ob_digit[i]; |
| 677 | if ((x >> SHIFT) != prev) { |
| 678 | PyErr_SetString(PyExc_OverflowError, |
| 679 | "long int too long to convert"); |
Guido van Rossum | 3293b07 | 1998-08-25 16:07:15 +0000 | [diff] [blame] | 680 | return (unsigned LONG_LONG) -1; |
Guido van Rossum | 1a8791e | 1998-08-04 22:46:29 +0000 | [diff] [blame] | 681 | } |
| 682 | } |
| 683 | |
| 684 | return x; |
| 685 | #endif |
| 686 | } |
| 687 | #endif /* HAVE_LONG_LONG */ |
| 688 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 689 | |
| 690 | static int |
| 691 | convert_binop(PyObject *v, PyObject *w, PyLongObject **a, PyLongObject **b) { |
| 692 | if (PyLong_Check(v)) { |
| 693 | *a = (PyLongObject *) v; |
| 694 | Py_INCREF(v); |
| 695 | } |
| 696 | else if (PyInt_Check(v)) { |
| 697 | *a = (PyLongObject *) PyLong_FromLong(PyInt_AS_LONG(v)); |
| 698 | } |
| 699 | else { |
| 700 | return 0; |
| 701 | } |
| 702 | if (PyLong_Check(w)) { |
| 703 | *b = (PyLongObject *) w; |
| 704 | Py_INCREF(w); |
| 705 | } |
| 706 | else if (PyInt_Check(w)) { |
| 707 | *b = (PyLongObject *) PyLong_FromLong(PyInt_AS_LONG(w)); |
| 708 | } |
| 709 | else { |
| 710 | Py_DECREF(*a); |
| 711 | return 0; |
| 712 | } |
| 713 | return 1; |
| 714 | } |
| 715 | |
| 716 | #define CONVERT_BINOP(v, w, a, b) \ |
| 717 | if (!convert_binop(v, w, a, b)) { \ |
| 718 | Py_INCREF(Py_NotImplemented); \ |
| 719 | return Py_NotImplemented; \ |
| 720 | } |
| 721 | |
| 722 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 723 | /* Multiply by a single digit, ignoring the sign. */ |
| 724 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 725 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 726 | mul1(PyLongObject *a, wdigit n) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 727 | { |
| 728 | return muladd1(a, n, (digit)0); |
| 729 | } |
| 730 | |
| 731 | /* Multiply by a single digit and add a single digit, ignoring the sign. */ |
| 732 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 733 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 734 | muladd1(PyLongObject *a, wdigit n, wdigit extra) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 735 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 736 | int size_a = ABS(a->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 737 | PyLongObject *z = _PyLong_New(size_a+1); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 738 | twodigits carry = extra; |
| 739 | int i; |
| 740 | |
| 741 | if (z == NULL) |
| 742 | return NULL; |
| 743 | for (i = 0; i < size_a; ++i) { |
| 744 | carry += (twodigits)a->ob_digit[i] * n; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 745 | z->ob_digit[i] = (digit) (carry & MASK); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 746 | carry >>= SHIFT; |
| 747 | } |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 748 | z->ob_digit[i] = (digit) carry; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 749 | return long_normalize(z); |
| 750 | } |
| 751 | |
| 752 | /* Divide a long integer by a digit, returning both the quotient |
| 753 | (as function result) and the remainder (through *prem). |
| 754 | The sign of a is ignored; n should not be zero. */ |
| 755 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 756 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 757 | divrem1(PyLongObject *a, wdigit n, digit *prem) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 758 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 759 | int size = ABS(a->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 760 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 761 | int i; |
| 762 | twodigits rem = 0; |
| 763 | |
| 764 | assert(n > 0 && n <= MASK); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 765 | z = _PyLong_New(size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 766 | if (z == NULL) |
| 767 | return NULL; |
| 768 | for (i = size; --i >= 0; ) { |
| 769 | rem = (rem << SHIFT) + a->ob_digit[i]; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 770 | z->ob_digit[i] = (digit) (rem/n); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 771 | rem %= n; |
| 772 | } |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 773 | *prem = (digit) rem; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 774 | return long_normalize(z); |
| 775 | } |
| 776 | |
| 777 | /* 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] | 778 | Return a string object. |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 779 | 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] | 780 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 781 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 782 | long_format(PyObject *aa, int base, int addL) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 783 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 784 | register PyLongObject *a = (PyLongObject *)aa; |
| 785 | PyStringObject *str; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 786 | int i; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 787 | int size_a = ABS(a->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 788 | char *p; |
| 789 | int bits; |
| 790 | char sign = '\0'; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 791 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 792 | if (a == NULL || !PyLong_Check(a)) { |
| 793 | PyErr_BadInternalCall(); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 794 | return NULL; |
| 795 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 796 | assert(base >= 2 && base <= 36); |
| 797 | |
| 798 | /* Compute a rough upper bound for the length of the string */ |
| 799 | i = base; |
| 800 | bits = 0; |
| 801 | while (i > 1) { |
| 802 | ++bits; |
| 803 | i >>= 1; |
| 804 | } |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 805 | i = 5 + (addL ? 1 : 0) + (size_a*SHIFT + bits-1) / bits; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 806 | str = (PyStringObject *) PyString_FromStringAndSize((char *)0, i); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 807 | if (str == NULL) |
| 808 | return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 809 | p = PyString_AS_STRING(str) + i; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 810 | *p = '\0'; |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 811 | if (addL) |
| 812 | *--p = 'L'; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 813 | if (a->ob_size < 0) |
| 814 | sign = '-'; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 815 | |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 816 | if (a->ob_size == 0) { |
| 817 | *--p = '0'; |
| 818 | } |
| 819 | else if ((base & (base - 1)) == 0) { |
| 820 | /* JRH: special case for power-of-2 bases */ |
| 821 | twodigits temp = a->ob_digit[0]; |
| 822 | int bitsleft = SHIFT; |
| 823 | int rem; |
| 824 | int last = abs(a->ob_size); |
| 825 | int basebits = 1; |
| 826 | i = base; |
Tim Peters | 7d3a511 | 2000-07-08 04:17:21 +0000 | [diff] [blame] | 827 | while ((i >>= 1) > 1) |
| 828 | ++basebits; |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 829 | |
| 830 | i = 0; |
| 831 | for (;;) { |
| 832 | while (bitsleft >= basebits) { |
| 833 | if ((temp == 0) && (i >= last - 1)) break; |
| 834 | rem = temp & (base - 1); |
| 835 | if (rem < 10) |
| 836 | rem += '0'; |
| 837 | else |
| 838 | rem += 'A' - 10; |
| 839 | assert(p > PyString_AS_STRING(str)); |
| 840 | *--p = (char) rem; |
| 841 | bitsleft -= basebits; |
| 842 | temp >>= basebits; |
| 843 | } |
| 844 | if (++i >= last) { |
| 845 | if (temp == 0) break; |
| 846 | bitsleft = 99; |
| 847 | /* loop again to pick up final digits */ |
| 848 | } |
| 849 | else { |
| 850 | temp = (a->ob_digit[i] << bitsleft) | temp; |
| 851 | bitsleft += SHIFT; |
| 852 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 853 | } |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 854 | } |
| 855 | else { |
| 856 | Py_INCREF(a); |
| 857 | do { |
| 858 | digit rem; |
| 859 | PyLongObject *temp = divrem1(a, (digit)base, &rem); |
| 860 | if (temp == NULL) { |
| 861 | Py_DECREF(a); |
| 862 | Py_DECREF(str); |
| 863 | return NULL; |
| 864 | } |
| 865 | if (rem < 10) |
| 866 | rem += '0'; |
| 867 | else |
| 868 | rem += 'A'-10; |
| 869 | assert(p > PyString_AS_STRING(str)); |
| 870 | *--p = (char) rem; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 871 | Py_DECREF(a); |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 872 | a = temp; |
| 873 | SIGCHECK({ |
| 874 | Py_DECREF(a); |
| 875 | Py_DECREF(str); |
| 876 | return NULL; |
| 877 | }) |
| 878 | } while (ABS(a->ob_size) != 0); |
| 879 | Py_DECREF(a); |
| 880 | } |
| 881 | |
Guido van Rossum | 2c47542 | 1992-08-14 15:13:07 +0000 | [diff] [blame] | 882 | if (base == 8) { |
| 883 | if (size_a != 0) |
| 884 | *--p = '0'; |
| 885 | } |
Guido van Rossum | 3d3037d | 1991-10-24 14:55:57 +0000 | [diff] [blame] | 886 | else if (base == 16) { |
| 887 | *--p = 'x'; |
| 888 | *--p = '0'; |
| 889 | } |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 890 | else if (base != 10) { |
| 891 | *--p = '#'; |
| 892 | *--p = '0' + base%10; |
| 893 | if (base > 10) |
| 894 | *--p = '0' + base/10; |
| 895 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 896 | if (sign) |
| 897 | *--p = sign; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 898 | if (p != PyString_AS_STRING(str)) { |
| 899 | char *q = PyString_AS_STRING(str); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 900 | assert(p > q); |
| 901 | do { |
| 902 | } while ((*q++ = *p++) != '\0'); |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 903 | q--; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 904 | _PyString_Resize((PyObject **)&str, |
| 905 | (int) (q - PyString_AS_STRING(str))); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 906 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 907 | return (PyObject *)str; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 908 | } |
| 909 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 910 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 911 | PyLong_FromString(char *str, char **pend, int base) |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 912 | { |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 913 | int sign = 1; |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 914 | char *start, *orig_str = str; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 915 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 916 | |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 917 | if ((base != 0 && base < 2) || base > 36) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 918 | PyErr_SetString(PyExc_ValueError, |
Fred Drake | 661ea26 | 2000-10-24 19:57:45 +0000 | [diff] [blame] | 919 | "long() arg 2 must be >= 2 and <= 36"); |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 920 | return NULL; |
| 921 | } |
Guido van Rossum | 9fa2c11 | 1995-02-10 17:00:37 +0000 | [diff] [blame] | 922 | while (*str != '\0' && isspace(Py_CHARMASK(*str))) |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 923 | str++; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 924 | if (*str == '+') |
| 925 | ++str; |
| 926 | else if (*str == '-') { |
| 927 | ++str; |
| 928 | sign = -1; |
| 929 | } |
Guido van Rossum | 9fa2c11 | 1995-02-10 17:00:37 +0000 | [diff] [blame] | 930 | while (*str != '\0' && isspace(Py_CHARMASK(*str))) |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 931 | str++; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 932 | if (base == 0) { |
| 933 | if (str[0] != '0') |
| 934 | base = 10; |
| 935 | else if (str[1] == 'x' || str[1] == 'X') |
| 936 | base = 16; |
| 937 | else |
| 938 | base = 8; |
| 939 | } |
| 940 | if (base == 16 && str[0] == '0' && (str[1] == 'x' || str[1] == 'X')) |
| 941 | str += 2; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 942 | z = _PyLong_New(0); |
Guido van Rossum | e676297 | 1998-06-22 03:54:46 +0000 | [diff] [blame] | 943 | start = str; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 944 | for ( ; z != NULL; ++str) { |
| 945 | int k = -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 946 | PyLongObject *temp; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 947 | |
| 948 | if (*str <= '9') |
| 949 | k = *str - '0'; |
| 950 | else if (*str >= 'a') |
| 951 | k = *str - 'a' + 10; |
| 952 | else if (*str >= 'A') |
| 953 | k = *str - 'A' + 10; |
| 954 | if (k < 0 || k >= base) |
| 955 | break; |
| 956 | temp = muladd1(z, (digit)base, (digit)k); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 957 | Py_DECREF(z); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 958 | z = temp; |
| 959 | } |
Guido van Rossum | ac6a37a | 1998-08-04 15:04:06 +0000 | [diff] [blame] | 960 | if (z == NULL) |
| 961 | return NULL; |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 962 | if (str == start) |
| 963 | goto onError; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 964 | if (sign < 0 && z != NULL && z->ob_size != 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 965 | z->ob_size = -(z->ob_size); |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 966 | if (*str == 'L' || *str == 'l') |
| 967 | str++; |
| 968 | while (*str && isspace(Py_CHARMASK(*str))) |
| 969 | str++; |
| 970 | if (*str != '\0') |
| 971 | goto onError; |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 972 | if (pend) |
| 973 | *pend = str; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 974 | return (PyObject *) z; |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 975 | |
| 976 | onError: |
| 977 | PyErr_Format(PyExc_ValueError, |
| 978 | "invalid literal for long(): %.200s", orig_str); |
| 979 | Py_XDECREF(z); |
| 980 | return NULL; |
| 981 | } |
| 982 | |
| 983 | PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 984 | PyLong_FromUnicode(Py_UNICODE *u, int length, int base) |
Guido van Rossum | 9e896b3 | 2000-04-05 20:11:21 +0000 | [diff] [blame] | 985 | { |
| 986 | char buffer[256]; |
| 987 | |
| 988 | if (length >= sizeof(buffer)) { |
| 989 | PyErr_SetString(PyExc_ValueError, |
| 990 | "long() literal too large to convert"); |
| 991 | return NULL; |
| 992 | } |
| 993 | if (PyUnicode_EncodeDecimal(u, length, buffer, NULL)) |
| 994 | return NULL; |
| 995 | |
| 996 | return PyLong_FromString(buffer, NULL, base); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 997 | } |
| 998 | |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 999 | /* forward */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1000 | static PyLongObject *x_divrem |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1001 | (PyLongObject *, PyLongObject *, PyLongObject **); |
| 1002 | static PyObject *long_pos(PyLongObject *); |
| 1003 | static int long_divrem(PyLongObject *, PyLongObject *, |
| 1004 | PyLongObject **, PyLongObject **); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1005 | |
| 1006 | /* Long division with remainder, top-level routine */ |
| 1007 | |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1008 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1009 | long_divrem(PyLongObject *a, PyLongObject *b, |
| 1010 | PyLongObject **pdiv, PyLongObject **prem) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1011 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1012 | 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] | 1013 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1014 | |
| 1015 | if (size_b == 0) { |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 1016 | PyErr_SetString(PyExc_ZeroDivisionError, |
Fred Drake | 661ea26 | 2000-10-24 19:57:45 +0000 | [diff] [blame] | 1017 | "long division or modulo by zero"); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1018 | return -1; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1019 | } |
| 1020 | if (size_a < size_b || |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 1021 | (size_a == size_b && |
| 1022 | 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] | 1023 | /* |a| < |b|. */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1024 | *pdiv = _PyLong_New(0); |
| 1025 | Py_INCREF(a); |
| 1026 | *prem = (PyLongObject *) a; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1027 | return 0; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1028 | } |
| 1029 | if (size_b == 1) { |
| 1030 | digit rem = 0; |
| 1031 | z = divrem1(a, b->ob_digit[0], &rem); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1032 | if (z == NULL) |
| 1033 | return -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1034 | *prem = (PyLongObject *) PyLong_FromLong((long)rem); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1035 | } |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1036 | else { |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1037 | z = x_divrem(a, b, prem); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1038 | if (z == NULL) |
| 1039 | return -1; |
| 1040 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1041 | /* Set the signs. |
| 1042 | The quotient z has the sign of a*b; |
| 1043 | the remainder r has the sign of a, |
| 1044 | so a = b*z + r. */ |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1045 | if ((a->ob_size < 0) != (b->ob_size < 0)) |
| 1046 | z->ob_size = -(z->ob_size); |
| 1047 | if (a->ob_size < 0 && (*prem)->ob_size != 0) |
| 1048 | (*prem)->ob_size = -((*prem)->ob_size); |
| 1049 | *pdiv = z; |
| 1050 | return 0; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1051 | } |
| 1052 | |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1053 | /* Unsigned long division with remainder -- the algorithm */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1054 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1055 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1056 | x_divrem(PyLongObject *v1, PyLongObject *w1, PyLongObject **prem) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1057 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1058 | 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] | 1059 | 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] | 1060 | PyLongObject *v = mul1(v1, d); |
| 1061 | PyLongObject *w = mul1(w1, d); |
| 1062 | PyLongObject *a; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1063 | int j, k; |
| 1064 | |
| 1065 | if (v == NULL || w == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1066 | Py_XDECREF(v); |
| 1067 | Py_XDECREF(w); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1068 | return NULL; |
| 1069 | } |
| 1070 | |
| 1071 | 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] | 1072 | 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] | 1073 | 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] | 1074 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1075 | size_v = ABS(v->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1076 | a = _PyLong_New(size_v - size_w + 1); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1077 | |
| 1078 | for (j = size_v, k = a->ob_size-1; a != NULL && k >= 0; --j, --k) { |
| 1079 | digit vj = (j >= size_v) ? 0 : v->ob_digit[j]; |
| 1080 | twodigits q; |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1081 | stwodigits carry = 0; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1082 | int i; |
| 1083 | |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1084 | SIGCHECK({ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1085 | Py_DECREF(a); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1086 | a = NULL; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1087 | break; |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1088 | }) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1089 | if (vj == w->ob_digit[size_w-1]) |
| 1090 | q = MASK; |
| 1091 | else |
| 1092 | q = (((twodigits)vj << SHIFT) + v->ob_digit[j-1]) / |
| 1093 | w->ob_digit[size_w-1]; |
| 1094 | |
| 1095 | while (w->ob_digit[size_w-2]*q > |
| 1096 | (( |
| 1097 | ((twodigits)vj << SHIFT) |
| 1098 | + v->ob_digit[j-1] |
| 1099 | - q*w->ob_digit[size_w-1] |
| 1100 | ) << SHIFT) |
| 1101 | + v->ob_digit[j-2]) |
| 1102 | --q; |
| 1103 | |
| 1104 | for (i = 0; i < size_w && i+k < size_v; ++i) { |
| 1105 | twodigits z = w->ob_digit[i] * q; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 1106 | digit zz = (digit) (z >> SHIFT); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1107 | carry += v->ob_digit[i+k] - z |
| 1108 | + ((twodigits)zz << SHIFT); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1109 | v->ob_digit[i+k] = carry & MASK; |
Tim Peters | 7d3a511 | 2000-07-08 04:17:21 +0000 | [diff] [blame] | 1110 | carry = Py_ARITHMETIC_RIGHT_SHIFT(BASE_TWODIGITS_TYPE, |
| 1111 | carry, SHIFT); |
| 1112 | carry -= zz; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1113 | } |
| 1114 | |
| 1115 | if (i+k < size_v) { |
| 1116 | carry += v->ob_digit[i+k]; |
| 1117 | v->ob_digit[i+k] = 0; |
| 1118 | } |
| 1119 | |
| 1120 | if (carry == 0) |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 1121 | a->ob_digit[k] = (digit) q; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1122 | else { |
| 1123 | assert(carry == -1); |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 1124 | a->ob_digit[k] = (digit) q-1; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1125 | carry = 0; |
| 1126 | for (i = 0; i < size_w && i+k < size_v; ++i) { |
| 1127 | carry += v->ob_digit[i+k] + w->ob_digit[i]; |
| 1128 | v->ob_digit[i+k] = carry & MASK; |
Tim Peters | 7d3a511 | 2000-07-08 04:17:21 +0000 | [diff] [blame] | 1129 | carry = Py_ARITHMETIC_RIGHT_SHIFT( |
| 1130 | BASE_TWODIGITS_TYPE, |
| 1131 | carry, SHIFT); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1132 | } |
| 1133 | } |
| 1134 | } /* for j, k */ |
| 1135 | |
Guido van Rossum | c206c76 | 1995-01-10 15:23:19 +0000 | [diff] [blame] | 1136 | if (a == NULL) |
| 1137 | *prem = NULL; |
| 1138 | else { |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1139 | a = long_normalize(a); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1140 | *prem = divrem1(v, d, &d); |
| 1141 | /* d receives the (unused) remainder */ |
| 1142 | if (*prem == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1143 | Py_DECREF(a); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1144 | a = NULL; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1145 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1146 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1147 | Py_DECREF(v); |
| 1148 | Py_DECREF(w); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1149 | return a; |
| 1150 | } |
| 1151 | |
| 1152 | /* Methods */ |
| 1153 | |
| 1154 | static void |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1155 | long_dealloc(PyObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1156 | { |
Guido van Rossum | b18618d | 2000-05-03 23:44:39 +0000 | [diff] [blame] | 1157 | PyObject_DEL(v); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1158 | } |
| 1159 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1160 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1161 | long_repr(PyObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1162 | { |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 1163 | return long_format(v, 10, 1); |
| 1164 | } |
| 1165 | |
| 1166 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1167 | long_str(PyObject *v) |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 1168 | { |
| 1169 | return long_format(v, 10, 0); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1170 | } |
| 1171 | |
| 1172 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1173 | long_compare(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1174 | { |
| 1175 | int sign; |
| 1176 | |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1177 | if (a->ob_size != b->ob_size) { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1178 | if (ABS(a->ob_size) == 0 && ABS(b->ob_size) == 0) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1179 | sign = 0; |
| 1180 | else |
| 1181 | sign = a->ob_size - b->ob_size; |
| 1182 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1183 | else { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1184 | int i = ABS(a->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1185 | while (--i >= 0 && a->ob_digit[i] == b->ob_digit[i]) |
| 1186 | ; |
| 1187 | if (i < 0) |
| 1188 | sign = 0; |
Guido van Rossum | 0b0db8e | 1993-01-21 16:07:51 +0000 | [diff] [blame] | 1189 | else { |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1190 | sign = (int)a->ob_digit[i] - (int)b->ob_digit[i]; |
Guido van Rossum | 0b0db8e | 1993-01-21 16:07:51 +0000 | [diff] [blame] | 1191 | if (a->ob_size < 0) |
| 1192 | sign = -sign; |
| 1193 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1194 | } |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1195 | return sign < 0 ? -1 : sign > 0 ? 1 : 0; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1196 | } |
| 1197 | |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 1198 | static long |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1199 | long_hash(PyLongObject *v) |
Guido van Rossum | 9bfef44 | 1993-03-29 10:43:31 +0000 | [diff] [blame] | 1200 | { |
| 1201 | long x; |
| 1202 | int i, sign; |
| 1203 | |
| 1204 | /* This is designed so that Python ints and longs with the |
| 1205 | same value hash to the same value, otherwise comparisons |
| 1206 | of mapping keys will turn out weird */ |
| 1207 | i = v->ob_size; |
| 1208 | sign = 1; |
| 1209 | x = 0; |
| 1210 | if (i < 0) { |
| 1211 | sign = -1; |
| 1212 | i = -(i); |
| 1213 | } |
| 1214 | while (--i >= 0) { |
| 1215 | /* Force a 32-bit circular shift */ |
| 1216 | x = ((x << SHIFT) & ~MASK) | ((x >> (32-SHIFT)) & MASK); |
| 1217 | x += v->ob_digit[i]; |
| 1218 | } |
| 1219 | x = x * sign; |
| 1220 | if (x == -1) |
| 1221 | x = -2; |
| 1222 | return x; |
| 1223 | } |
| 1224 | |
| 1225 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1226 | /* Add the absolute values of two long integers. */ |
| 1227 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1228 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1229 | x_add(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1230 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1231 | 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] | 1232 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1233 | int i; |
| 1234 | digit carry = 0; |
| 1235 | |
| 1236 | /* Ensure a is the larger of the two: */ |
| 1237 | if (size_a < size_b) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1238 | { PyLongObject *temp = a; a = b; b = temp; } |
| 1239 | { int size_temp = size_a; |
| 1240 | size_a = size_b; |
| 1241 | size_b = size_temp; } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1242 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1243 | z = _PyLong_New(size_a+1); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1244 | if (z == NULL) |
| 1245 | return NULL; |
| 1246 | for (i = 0; i < size_b; ++i) { |
| 1247 | carry += a->ob_digit[i] + b->ob_digit[i]; |
| 1248 | z->ob_digit[i] = carry & MASK; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1249 | carry >>= SHIFT; |
| 1250 | } |
| 1251 | for (; i < size_a; ++i) { |
| 1252 | carry += a->ob_digit[i]; |
| 1253 | z->ob_digit[i] = carry & MASK; |
| 1254 | carry >>= SHIFT; |
| 1255 | } |
| 1256 | z->ob_digit[i] = carry; |
| 1257 | return long_normalize(z); |
| 1258 | } |
| 1259 | |
| 1260 | /* Subtract the absolute values of two integers. */ |
| 1261 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1262 | static PyLongObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1263 | x_sub(PyLongObject *a, PyLongObject *b) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1264 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1265 | 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] | 1266 | PyLongObject *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1267 | int i; |
| 1268 | int sign = 1; |
| 1269 | digit borrow = 0; |
| 1270 | |
| 1271 | /* Ensure a is the larger of the two: */ |
| 1272 | if (size_a < size_b) { |
| 1273 | sign = -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1274 | { PyLongObject *temp = a; a = b; b = temp; } |
| 1275 | { int size_temp = size_a; |
| 1276 | size_a = size_b; |
| 1277 | size_b = size_temp; } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1278 | } |
| 1279 | else if (size_a == size_b) { |
| 1280 | /* Find highest digit where a and b differ: */ |
| 1281 | i = size_a; |
| 1282 | while (--i >= 0 && a->ob_digit[i] == b->ob_digit[i]) |
| 1283 | ; |
| 1284 | if (i < 0) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1285 | return _PyLong_New(0); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1286 | if (a->ob_digit[i] < b->ob_digit[i]) { |
| 1287 | sign = -1; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1288 | { PyLongObject *temp = a; a = b; b = temp; } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1289 | } |
| 1290 | size_a = size_b = i+1; |
| 1291 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1292 | z = _PyLong_New(size_a); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1293 | if (z == NULL) |
| 1294 | return NULL; |
| 1295 | for (i = 0; i < size_b; ++i) { |
| 1296 | /* The following assumes unsigned arithmetic |
| 1297 | works module 2**N for some N>SHIFT. */ |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1298 | borrow = a->ob_digit[i] - b->ob_digit[i] - borrow; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1299 | z->ob_digit[i] = borrow & MASK; |
| 1300 | borrow >>= SHIFT; |
| 1301 | borrow &= 1; /* Keep only one sign bit */ |
| 1302 | } |
| 1303 | for (; i < size_a; ++i) { |
| 1304 | borrow = a->ob_digit[i] - borrow; |
| 1305 | z->ob_digit[i] = borrow & MASK; |
| 1306 | borrow >>= SHIFT; |
Tim Peters | 43f04a3 | 2000-07-08 02:26:47 +0000 | [diff] [blame] | 1307 | borrow &= 1; /* Keep only one sign bit */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1308 | } |
| 1309 | assert(borrow == 0); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1310 | if (sign < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1311 | z->ob_size = -(z->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1312 | return long_normalize(z); |
| 1313 | } |
| 1314 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1315 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1316 | long_add(PyLongObject *v, PyLongObject *w) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1317 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1318 | PyLongObject *a, *b, *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1319 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1320 | CONVERT_BINOP((PyObject *)v, (PyObject *)w, &a, &b); |
| 1321 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1322 | if (a->ob_size < 0) { |
| 1323 | if (b->ob_size < 0) { |
| 1324 | z = x_add(a, b); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1325 | if (z != NULL && z->ob_size != 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1326 | z->ob_size = -(z->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1327 | } |
| 1328 | else |
| 1329 | z = x_sub(b, a); |
| 1330 | } |
| 1331 | else { |
| 1332 | if (b->ob_size < 0) |
| 1333 | z = x_sub(a, b); |
| 1334 | else |
| 1335 | z = x_add(a, b); |
| 1336 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1337 | Py_DECREF(a); |
| 1338 | Py_DECREF(b); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1339 | return (PyObject *)z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1340 | } |
| 1341 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1342 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1343 | long_sub(PyLongObject *v, PyLongObject *w) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1344 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1345 | PyLongObject *a, *b, *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1346 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1347 | CONVERT_BINOP((PyObject *)v, (PyObject *)w, &a, &b); |
| 1348 | |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1349 | if (a->ob_size < 0) { |
| 1350 | if (b->ob_size < 0) |
| 1351 | z = x_sub(a, b); |
| 1352 | else |
| 1353 | z = x_add(a, b); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1354 | if (z != NULL && z->ob_size != 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1355 | z->ob_size = -(z->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1356 | } |
| 1357 | else { |
| 1358 | if (b->ob_size < 0) |
| 1359 | z = x_add(a, b); |
| 1360 | else |
| 1361 | z = x_sub(a, b); |
| 1362 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1363 | Py_DECREF(a); |
| 1364 | Py_DECREF(b); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1365 | return (PyObject *)z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1366 | } |
| 1367 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1368 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1369 | long_repeat(PyObject *v, PyLongObject *w) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1370 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1371 | /* sequence * long */ |
| 1372 | long n = PyLong_AsLong((PyObject *) w); |
| 1373 | if (n == -1 && PyErr_Occurred()) |
| 1374 | return NULL; |
| 1375 | else |
| 1376 | return (*v->ob_type->tp_as_sequence->sq_repeat)(v, n); |
| 1377 | } |
| 1378 | |
| 1379 | static PyObject * |
| 1380 | long_mul(PyLongObject *v, PyLongObject *w) |
| 1381 | { |
| 1382 | PyLongObject *a, *b, *z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1383 | int size_a; |
| 1384 | int size_b; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1385 | int i; |
| 1386 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1387 | if (v->ob_type->tp_as_sequence && |
| 1388 | v->ob_type->tp_as_sequence->sq_repeat) { |
| 1389 | return long_repeat((PyObject *)v, w); |
| 1390 | } |
| 1391 | else if (w->ob_type->tp_as_sequence && |
| 1392 | w->ob_type->tp_as_sequence->sq_repeat) { |
| 1393 | return long_repeat((PyObject *)w, v); |
| 1394 | } |
| 1395 | |
| 1396 | CONVERT_BINOP((PyObject *)v, (PyObject *)w, &a, &b); |
| 1397 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1398 | size_a = ABS(a->ob_size); |
| 1399 | size_b = ABS(b->ob_size); |
Guido van Rossum | ba71a24 | 2000-04-10 17:31:58 +0000 | [diff] [blame] | 1400 | if (size_a > size_b) { |
| 1401 | /* we are faster with the small object on the left */ |
| 1402 | int hold_sa = size_a; |
| 1403 | PyLongObject *hold_a = a; |
| 1404 | size_a = size_b; |
| 1405 | size_b = hold_sa; |
| 1406 | a = b; |
| 1407 | b = hold_a; |
| 1408 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1409 | z = _PyLong_New(size_a + size_b); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1410 | if (z == NULL) { |
| 1411 | Py_DECREF(a); |
| 1412 | Py_DECREF(b); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1413 | return NULL; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1414 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1415 | for (i = 0; i < z->ob_size; ++i) |
| 1416 | z->ob_digit[i] = 0; |
| 1417 | for (i = 0; i < size_a; ++i) { |
| 1418 | twodigits carry = 0; |
| 1419 | twodigits f = a->ob_digit[i]; |
| 1420 | int j; |
| 1421 | |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1422 | SIGCHECK({ |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1423 | Py_DECREF(a); |
| 1424 | Py_DECREF(b); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1425 | Py_DECREF(z); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1426 | return NULL; |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1427 | }) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1428 | for (j = 0; j < size_b; ++j) { |
| 1429 | carry += z->ob_digit[i+j] + b->ob_digit[j] * f; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 1430 | z->ob_digit[i+j] = (digit) (carry & MASK); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1431 | carry >>= SHIFT; |
| 1432 | } |
| 1433 | for (; carry != 0; ++j) { |
| 1434 | assert(i+j < z->ob_size); |
| 1435 | carry += z->ob_digit[i+j]; |
Guido van Rossum | 2095d24 | 1997-04-09 19:41:24 +0000 | [diff] [blame] | 1436 | z->ob_digit[i+j] = (digit) (carry & MASK); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1437 | carry >>= SHIFT; |
| 1438 | } |
| 1439 | } |
| 1440 | if (a->ob_size < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1441 | z->ob_size = -(z->ob_size); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1442 | if (b->ob_size < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1443 | z->ob_size = -(z->ob_size); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1444 | Py_DECREF(a); |
| 1445 | Py_DECREF(b); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1446 | return (PyObject *) long_normalize(z); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1447 | } |
| 1448 | |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1449 | /* The / and % operators are now defined in terms of divmod(). |
| 1450 | The expression a mod b has the value a - b*floor(a/b). |
| 1451 | The long_divrem function gives the remainder after division of |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1452 | |a| by |b|, with the sign of a. This is also expressed |
| 1453 | as a - b*trunc(a/b), if trunc truncates towards zero. |
| 1454 | Some examples: |
| 1455 | a b a rem b a mod b |
| 1456 | 13 10 3 3 |
| 1457 | -13 10 -3 7 |
| 1458 | 13 -10 3 -7 |
| 1459 | -13 -10 -3 -3 |
| 1460 | 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] | 1461 | have different signs. We then subtract one from the 'div' |
| 1462 | part of the outcome to keep the invariant intact. */ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1463 | |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1464 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1465 | l_divmod(PyLongObject *v, PyLongObject *w, |
| 1466 | PyLongObject **pdiv, PyLongObject **pmod) |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1467 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1468 | PyLongObject *div, *mod; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1469 | |
| 1470 | if (long_divrem(v, w, &div, &mod) < 0) |
| 1471 | return -1; |
Guido van Rossum | 472c04f | 1996-12-05 21:57:21 +0000 | [diff] [blame] | 1472 | if ((mod->ob_size < 0 && w->ob_size > 0) || |
| 1473 | (mod->ob_size > 0 && w->ob_size < 0)) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1474 | PyLongObject *temp; |
| 1475 | PyLongObject *one; |
| 1476 | temp = (PyLongObject *) long_add(mod, w); |
| 1477 | Py_DECREF(mod); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1478 | mod = temp; |
| 1479 | if (mod == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1480 | Py_DECREF(div); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1481 | return -1; |
| 1482 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1483 | one = (PyLongObject *) PyLong_FromLong(1L); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1484 | if (one == NULL || |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1485 | (temp = (PyLongObject *) long_sub(div, one)) == NULL) { |
| 1486 | Py_DECREF(mod); |
| 1487 | Py_DECREF(div); |
| 1488 | Py_XDECREF(one); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1489 | return -1; |
| 1490 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1491 | Py_DECREF(one); |
| 1492 | Py_DECREF(div); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1493 | div = temp; |
| 1494 | } |
| 1495 | *pdiv = div; |
| 1496 | *pmod = mod; |
| 1497 | return 0; |
| 1498 | } |
| 1499 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1500 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1501 | long_div(PyObject *v, PyObject *w) |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1502 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1503 | PyLongObject *a, *b, *div, *mod; |
| 1504 | |
| 1505 | CONVERT_BINOP(v, w, &a, &b); |
| 1506 | |
| 1507 | if (l_divmod(a, b, &div, &mod) < 0) { |
| 1508 | Py_DECREF(a); |
| 1509 | Py_DECREF(b); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1510 | return NULL; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1511 | } |
| 1512 | Py_DECREF(a); |
| 1513 | Py_DECREF(b); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1514 | Py_DECREF(mod); |
| 1515 | return (PyObject *)div; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1516 | } |
| 1517 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1518 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1519 | long_mod(PyObject *v, PyObject *w) |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1520 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1521 | PyLongObject *a, *b, *div, *mod; |
| 1522 | |
| 1523 | CONVERT_BINOP(v, w, &a, &b); |
| 1524 | |
| 1525 | if (l_divmod(a, b, &div, &mod) < 0) { |
| 1526 | Py_DECREF(a); |
| 1527 | Py_DECREF(b); |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1528 | return NULL; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1529 | } |
| 1530 | Py_DECREF(a); |
| 1531 | Py_DECREF(b); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1532 | Py_DECREF(div); |
| 1533 | return (PyObject *)mod; |
Guido van Rossum | e32e014 | 1992-01-19 16:31:05 +0000 | [diff] [blame] | 1534 | } |
| 1535 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1536 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1537 | long_divmod(PyObject *v, PyObject *w) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1538 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1539 | PyLongObject *a, *b, *div, *mod; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1540 | PyObject *z; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1541 | |
| 1542 | CONVERT_BINOP(v, w, &a, &b); |
| 1543 | |
| 1544 | if (l_divmod(a, b, &div, &mod) < 0) { |
| 1545 | Py_DECREF(a); |
| 1546 | Py_DECREF(b); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1547 | return NULL; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1548 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1549 | z = PyTuple_New(2); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1550 | if (z != NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1551 | PyTuple_SetItem(z, 0, (PyObject *) div); |
| 1552 | PyTuple_SetItem(z, 1, (PyObject *) mod); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1553 | } |
| 1554 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1555 | Py_DECREF(div); |
| 1556 | Py_DECREF(mod); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1557 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1558 | Py_DECREF(a); |
| 1559 | Py_DECREF(b); |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1560 | return z; |
| 1561 | } |
| 1562 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1563 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1564 | long_pow(PyObject *v, PyObject *w, PyObject *x) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1565 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1566 | PyLongObject *a, *b; |
| 1567 | PyObject *c; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1568 | PyLongObject *z, *div, *mod; |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1569 | int size_b, i; |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1570 | |
| 1571 | CONVERT_BINOP(v, w, &a, &b); |
| 1572 | if (PyLong_Check(x) || Py_None == x) { |
| 1573 | c = x; |
| 1574 | Py_INCREF(x); |
| 1575 | } |
| 1576 | else if (PyInt_Check(x)) { |
| 1577 | c = PyLong_FromLong(PyInt_AS_LONG(x)); |
| 1578 | } |
| 1579 | else { |
| 1580 | Py_DECREF(a); |
| 1581 | Py_DECREF(b); |
| 1582 | Py_INCREF(Py_NotImplemented); |
| 1583 | return Py_NotImplemented; |
| 1584 | } |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1585 | |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1586 | size_b = b->ob_size; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1587 | if (size_b < 0) { |
Tim Peters | c54d190 | 2000-10-06 00:36:09 +0000 | [diff] [blame] | 1588 | if (a->ob_size) |
| 1589 | PyErr_SetString(PyExc_ValueError, |
| 1590 | "long integer to a negative power"); |
| 1591 | else |
| 1592 | PyErr_SetString(PyExc_ZeroDivisionError, |
| 1593 | "zero to a negative power"); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1594 | z = NULL; |
| 1595 | goto error; |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1596 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1597 | z = (PyLongObject *)PyLong_FromLong(1L); |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1598 | for (i = 0; i < size_b; ++i) { |
| 1599 | digit bi = b->ob_digit[i]; |
| 1600 | int j; |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1601 | |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1602 | for (j = 0; j < SHIFT; ++j) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1603 | PyLongObject *temp; |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1604 | |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1605 | if (bi & 1) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1606 | temp = (PyLongObject *)long_mul(z, a); |
| 1607 | Py_DECREF(z); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1608 | if (c!=Py_None && temp!=NULL) { |
| 1609 | if (l_divmod(temp,(PyLongObject *)c, |
| 1610 | &div,&mod) < 0) { |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 1611 | Py_DECREF(temp); |
| 1612 | z = NULL; |
| 1613 | goto error; |
| 1614 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1615 | Py_XDECREF(div); |
| 1616 | Py_DECREF(temp); |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1617 | temp = mod; |
| 1618 | } |
| 1619 | z = temp; |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1620 | if (z == NULL) |
| 1621 | break; |
| 1622 | } |
| 1623 | bi >>= 1; |
| 1624 | if (bi == 0 && i+1 == size_b) |
| 1625 | break; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1626 | temp = (PyLongObject *)long_mul(a, a); |
| 1627 | Py_DECREF(a); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1628 | if (c!=Py_None && temp!=NULL) { |
| 1629 | if (l_divmod(temp, (PyLongObject *)c, &div, |
| 1630 | &mod) < 0) { |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 1631 | Py_DECREF(temp); |
| 1632 | z = NULL; |
| 1633 | goto error; |
| 1634 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1635 | Py_XDECREF(div); |
| 1636 | Py_DECREF(temp); |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1637 | temp = mod; |
| 1638 | } |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1639 | a = temp; |
| 1640 | if (a == NULL) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1641 | Py_DECREF(z); |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1642 | z = NULL; |
| 1643 | break; |
| 1644 | } |
| 1645 | } |
Guido van Rossum | c206c76 | 1995-01-10 15:23:19 +0000 | [diff] [blame] | 1646 | if (a == NULL || z == NULL) |
Guido van Rossum | c7ec9c9 | 1991-05-28 21:58:16 +0000 | [diff] [blame] | 1647 | break; |
| 1648 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1649 | if (c!=Py_None && z!=NULL) { |
| 1650 | if (l_divmod(z, (PyLongObject *)c, &div, &mod) < 0) { |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 1651 | Py_DECREF(z); |
| 1652 | z = NULL; |
| 1653 | } |
| 1654 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1655 | Py_XDECREF(div); |
| 1656 | Py_DECREF(z); |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 1657 | z = mod; |
| 1658 | } |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1659 | } |
Guido van Rossum | 2c7b8fe | 1999-10-11 22:34:41 +0000 | [diff] [blame] | 1660 | error: |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1661 | Py_XDECREF(a); |
| 1662 | Py_DECREF(b); |
| 1663 | Py_DECREF(c); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1664 | return (PyObject *)z; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1665 | } |
| 1666 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1667 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1668 | long_invert(PyLongObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1669 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1670 | /* Implement ~x as -(x+1) */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1671 | PyLongObject *x; |
| 1672 | PyLongObject *w; |
| 1673 | w = (PyLongObject *)PyLong_FromLong(1L); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1674 | if (w == NULL) |
| 1675 | return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1676 | x = (PyLongObject *) long_add(v, w); |
| 1677 | Py_DECREF(w); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1678 | if (x == NULL) |
| 1679 | return NULL; |
| 1680 | if (x->ob_size != 0) |
| 1681 | x->ob_size = -(x->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1682 | return (PyObject *)x; |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1683 | } |
| 1684 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1685 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1686 | long_pos(PyLongObject *v) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1687 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1688 | Py_INCREF(v); |
| 1689 | return (PyObject *)v; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1690 | } |
| 1691 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1692 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1693 | long_neg(PyLongObject *v) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1694 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1695 | PyLongObject *z; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1696 | int i, n; |
| 1697 | n = ABS(v->ob_size); |
| 1698 | if (n == 0) { |
| 1699 | /* -0 == 0 */ |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1700 | Py_INCREF(v); |
| 1701 | return (PyObject *) v; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1702 | } |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1703 | z = _PyLong_New(ABS(n)); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1704 | if (z == NULL) |
| 1705 | return NULL; |
| 1706 | for (i = 0; i < n; i++) |
| 1707 | z->ob_digit[i] = v->ob_digit[i]; |
| 1708 | z->ob_size = -(v->ob_size); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1709 | return (PyObject *)z; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1710 | } |
| 1711 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1712 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1713 | long_abs(PyLongObject *v) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1714 | { |
| 1715 | if (v->ob_size < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1716 | return long_neg(v); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1717 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1718 | Py_INCREF(v); |
| 1719 | return (PyObject *)v; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1720 | } |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 1721 | } |
| 1722 | |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1723 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1724 | long_nonzero(PyLongObject *v) |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1725 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1726 | return ABS(v->ob_size) != 0; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1727 | } |
| 1728 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1729 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1730 | long_rshift(PyLongObject *v, PyLongObject *w) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1731 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1732 | PyLongObject *a, *b; |
| 1733 | PyLongObject *z = NULL; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1734 | long shiftby; |
| 1735 | int newsize, wordshift, loshift, hishift, i, j; |
| 1736 | digit lomask, himask; |
| 1737 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1738 | CONVERT_BINOP((PyObject *)v, (PyObject *)w, &a, &b); |
| 1739 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1740 | if (a->ob_size < 0) { |
| 1741 | /* Right shifting negative numbers is harder */ |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1742 | PyLongObject *a1, *a2; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1743 | a1 = (PyLongObject *) long_invert(a); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1744 | if (a1 == NULL) |
| 1745 | goto rshift_error; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1746 | a2 = (PyLongObject *) long_rshift(a1, b); |
| 1747 | Py_DECREF(a1); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1748 | if (a2 == NULL) |
| 1749 | goto rshift_error; |
| 1750 | z = (PyLongObject *) long_invert(a2); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1751 | Py_DECREF(a2); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1752 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1753 | else { |
| 1754 | |
| 1755 | shiftby = PyLong_AsLong((PyObject *)b); |
| 1756 | if (shiftby == -1L && PyErr_Occurred()) |
| 1757 | goto rshift_error; |
| 1758 | if (shiftby < 0) { |
| 1759 | PyErr_SetString(PyExc_ValueError, |
| 1760 | "negative shift count"); |
| 1761 | goto rshift_error; |
| 1762 | } |
| 1763 | wordshift = shiftby / SHIFT; |
| 1764 | newsize = ABS(a->ob_size) - wordshift; |
| 1765 | if (newsize <= 0) { |
| 1766 | z = _PyLong_New(0); |
| 1767 | Py_DECREF(a); |
| 1768 | Py_DECREF(b); |
| 1769 | return (PyObject *)z; |
| 1770 | } |
| 1771 | loshift = shiftby % SHIFT; |
| 1772 | hishift = SHIFT - loshift; |
| 1773 | lomask = ((digit)1 << hishift) - 1; |
| 1774 | himask = MASK ^ lomask; |
| 1775 | z = _PyLong_New(newsize); |
| 1776 | if (z == NULL) |
| 1777 | goto rshift_error; |
| 1778 | if (a->ob_size < 0) |
| 1779 | z->ob_size = -(z->ob_size); |
| 1780 | for (i = 0, j = wordshift; i < newsize; i++, j++) { |
| 1781 | z->ob_digit[i] = (a->ob_digit[j] >> loshift) & lomask; |
| 1782 | if (i+1 < newsize) |
| 1783 | z->ob_digit[i] |= |
| 1784 | (a->ob_digit[j+1] << hishift) & himask; |
| 1785 | } |
| 1786 | z = long_normalize(z); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1787 | } |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1788 | rshift_error: |
| 1789 | Py_DECREF(a); |
| 1790 | Py_DECREF(b); |
| 1791 | return (PyObject *) z; |
| 1792 | |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1793 | } |
| 1794 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1795 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1796 | long_lshift(PyObject *v, PyObject *w) |
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 | /* This version due to Tim Peters */ |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1799 | PyLongObject *a, *b; |
| 1800 | PyLongObject *z = NULL; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1801 | long shiftby; |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 1802 | int oldsize, newsize, wordshift, remshift, i, j; |
| 1803 | twodigits accum; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1804 | |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1805 | CONVERT_BINOP(v, w, &a, &b); |
| 1806 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1807 | shiftby = PyLong_AsLong((PyObject *)b); |
| 1808 | if (shiftby == -1L && PyErr_Occurred()) |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1809 | goto lshift_error; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1810 | if (shiftby < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1811 | PyErr_SetString(PyExc_ValueError, "negative shift count"); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1812 | goto lshift_error; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1813 | } |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 1814 | if ((long)(int)shiftby != shiftby) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1815 | PyErr_SetString(PyExc_ValueError, |
| 1816 | "outrageous left shift count"); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1817 | goto lshift_error; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1818 | } |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 1819 | /* wordshift, remshift = divmod(shiftby, SHIFT) */ |
| 1820 | wordshift = (int)shiftby / SHIFT; |
| 1821 | remshift = (int)shiftby - wordshift * SHIFT; |
| 1822 | |
| 1823 | oldsize = ABS(a->ob_size); |
| 1824 | newsize = oldsize + wordshift; |
| 1825 | if (remshift) |
| 1826 | ++newsize; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1827 | z = _PyLong_New(newsize); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1828 | if (z == NULL) |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1829 | goto lshift_error; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1830 | if (a->ob_size < 0) |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1831 | z->ob_size = -(z->ob_size); |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1832 | for (i = 0; i < wordshift; i++) |
| 1833 | z->ob_digit[i] = 0; |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 1834 | accum = 0; |
| 1835 | for (i = wordshift, j = 0; j < oldsize; i++, j++) { |
| 1836 | accum |= a->ob_digit[j] << remshift; |
| 1837 | z->ob_digit[i] = (digit)(accum & MASK); |
| 1838 | accum >>= SHIFT; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1839 | } |
Guido van Rossum | f2e499b | 1997-03-16 00:37:59 +0000 | [diff] [blame] | 1840 | if (remshift) |
| 1841 | z->ob_digit[newsize-1] = (digit)accum; |
| 1842 | else |
| 1843 | assert(!accum); |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1844 | z = long_normalize(z); |
| 1845 | lshift_error: |
| 1846 | Py_DECREF(a); |
| 1847 | Py_DECREF(b); |
| 1848 | return (PyObject *) z; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1849 | } |
| 1850 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1851 | |
| 1852 | /* Bitwise and/xor/or operations */ |
| 1853 | |
Guido van Rossum | afbb8db | 1991-12-31 13:14:13 +0000 | [diff] [blame] | 1854 | #define MAX(x, y) ((x) < (y) ? (y) : (x)) |
| 1855 | #define MIN(x, y) ((x) > (y) ? (y) : (x)) |
| 1856 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1857 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1858 | long_bitwise(PyLongObject *a, |
| 1859 | int op, /* '&', '|', '^' */ |
| 1860 | PyLongObject *b) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1861 | { |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1862 | digit maska, maskb; /* 0 or MASK */ |
| 1863 | int negz; |
| 1864 | int size_a, size_b, size_z; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1865 | PyLongObject *z; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1866 | int i; |
Guido van Rossum | 8b27d92 | 1992-03-27 17:27:05 +0000 | [diff] [blame] | 1867 | digit diga, digb; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1868 | PyObject *v; |
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 | if (a->ob_size < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1871 | a = (PyLongObject *) long_invert(a); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1872 | maska = MASK; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1873 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1874 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1875 | Py_INCREF(a); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1876 | maska = 0; |
Guido van Rossum | afbb8db | 1991-12-31 13:14:13 +0000 | [diff] [blame] | 1877 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1878 | if (b->ob_size < 0) { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1879 | b = (PyLongObject *) long_invert(b); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1880 | maskb = MASK; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1881 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1882 | else { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1883 | Py_INCREF(b); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1884 | maskb = 0; |
| 1885 | } |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1886 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1887 | negz = 0; |
| 1888 | switch (op) { |
| 1889 | case '^': |
| 1890 | if (maska != maskb) { |
| 1891 | maska ^= MASK; |
| 1892 | negz = -1; |
| 1893 | } |
| 1894 | break; |
Guido van Rossum | eb1fafc | 1994-08-29 12:47:19 +0000 | [diff] [blame] | 1895 | case '&': |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1896 | if (maska && maskb) { |
| 1897 | op = '|'; |
| 1898 | maska ^= MASK; |
| 1899 | maskb ^= MASK; |
| 1900 | negz = -1; |
| 1901 | } |
| 1902 | break; |
| 1903 | case '|': |
| 1904 | if (maska || maskb) { |
| 1905 | op = '&'; |
| 1906 | maska ^= MASK; |
| 1907 | maskb ^= MASK; |
| 1908 | negz = -1; |
| 1909 | } |
| 1910 | break; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1911 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1912 | |
Guido van Rossum | bd3a527 | 1998-08-11 15:04:47 +0000 | [diff] [blame] | 1913 | /* JRH: The original logic here was to allocate the result value (z) |
| 1914 | as the longer of the two operands. However, there are some cases |
| 1915 | where the result is guaranteed to be shorter than that: AND of two |
| 1916 | positives, OR of two negatives: use the shorter number. AND with |
| 1917 | mixed signs: use the positive number. OR with mixed signs: use the |
| 1918 | negative number. After the transformations above, op will be '&' |
| 1919 | iff one of these cases applies, and mask will be non-0 for operands |
| 1920 | whose length should be ignored. |
| 1921 | */ |
| 1922 | |
| 1923 | size_a = a->ob_size; |
| 1924 | size_b = b->ob_size; |
| 1925 | size_z = op == '&' |
| 1926 | ? (maska |
| 1927 | ? size_b |
| 1928 | : (maskb ? size_a : MIN(size_a, size_b))) |
| 1929 | : MAX(size_a, size_b); |
| 1930 | z = _PyLong_New(size_z); |
| 1931 | if (a == NULL || b == NULL || z == NULL) { |
| 1932 | Py_XDECREF(a); |
| 1933 | Py_XDECREF(b); |
| 1934 | Py_XDECREF(z); |
| 1935 | return NULL; |
| 1936 | } |
| 1937 | |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1938 | for (i = 0; i < size_z; ++i) { |
| 1939 | diga = (i < size_a ? a->ob_digit[i] : 0) ^ maska; |
| 1940 | digb = (i < size_b ? b->ob_digit[i] : 0) ^ maskb; |
| 1941 | switch (op) { |
| 1942 | case '&': z->ob_digit[i] = diga & digb; break; |
| 1943 | case '|': z->ob_digit[i] = diga | digb; break; |
| 1944 | case '^': z->ob_digit[i] = diga ^ digb; break; |
| 1945 | } |
Guido van Rossum | afbb8db | 1991-12-31 13:14:13 +0000 | [diff] [blame] | 1946 | } |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1947 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1948 | Py_DECREF(a); |
| 1949 | Py_DECREF(b); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1950 | z = long_normalize(z); |
| 1951 | if (negz == 0) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1952 | return (PyObject *) z; |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1953 | v = long_invert(z); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1954 | Py_DECREF(z); |
Guido van Rossum | 4c260ff | 1992-01-14 18:36:43 +0000 | [diff] [blame] | 1955 | return v; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1956 | } |
| 1957 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1958 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1959 | long_and(PyObject *v, PyObject *w) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1960 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1961 | PyLongObject *a, *b; |
| 1962 | PyObject *c; |
| 1963 | CONVERT_BINOP(v, w, &a, &b); |
| 1964 | c = long_bitwise(a, '&', b); |
| 1965 | Py_DECREF(a); |
| 1966 | Py_DECREF(b); |
| 1967 | return c; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1968 | } |
| 1969 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1970 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1971 | long_xor(PyObject *v, PyObject *w) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1972 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1973 | PyLongObject *a, *b; |
| 1974 | PyObject *c; |
| 1975 | CONVERT_BINOP(v, w, &a, &b); |
| 1976 | c = long_bitwise(a, '^', b); |
| 1977 | Py_DECREF(a); |
| 1978 | Py_DECREF(b); |
| 1979 | return c; |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1980 | } |
| 1981 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1982 | static PyObject * |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1983 | long_or(PyObject *v, PyObject *w) |
Guido van Rossum | c6913e7 | 1991-11-19 20:26:46 +0000 | [diff] [blame] | 1984 | { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1985 | PyLongObject *a, *b; |
| 1986 | PyObject *c; |
| 1987 | CONVERT_BINOP(v, w, &a, &b); |
| 1988 | c = long_bitwise(a, '|', b); |
| 1989 | Py_DECREF(a); |
| 1990 | Py_DECREF(b); |
| 1991 | return c; |
Guido van Rossum | 23d6f0e | 1991-05-14 12:06:49 +0000 | [diff] [blame] | 1992 | } |
| 1993 | |
Guido van Rossum | 234f942 | 1993-06-17 12:35:49 +0000 | [diff] [blame] | 1994 | static int |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 1995 | long_coerce(PyObject **pv, PyObject **pw) |
Guido van Rossum | e6eefc2 | 1992-08-14 12:06:52 +0000 | [diff] [blame] | 1996 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1997 | if (PyInt_Check(*pw)) { |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 1998 | *pw = PyLong_FromLong(PyInt_AS_LONG(*pw)); |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 1999 | Py_INCREF(*pv); |
Guido van Rossum | e6eefc2 | 1992-08-14 12:06:52 +0000 | [diff] [blame] | 2000 | return 0; |
| 2001 | } |
| 2002 | return 1; /* Can't do it */ |
| 2003 | } |
| 2004 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2005 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2006 | long_int(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2007 | { |
| 2008 | long x; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2009 | x = PyLong_AsLong(v); |
| 2010 | if (PyErr_Occurred()) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2011 | return NULL; |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2012 | return PyInt_FromLong(x); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2013 | } |
| 2014 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2015 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2016 | long_long(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2017 | { |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2018 | Py_INCREF(v); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2019 | return v; |
| 2020 | } |
| 2021 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2022 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2023 | long_float(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2024 | { |
Guido van Rossum | 09e6ad0 | 1997-02-14 22:54:21 +0000 | [diff] [blame] | 2025 | double result; |
| 2026 | PyFPE_START_PROTECT("long_float", return 0) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2027 | result = PyLong_AsDouble(v); |
Guido van Rossum | 45b8391 | 1997-03-14 04:32:50 +0000 | [diff] [blame] | 2028 | PyFPE_END_PROTECT(result) |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2029 | return PyFloat_FromDouble(result); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2030 | } |
| 2031 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2032 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2033 | long_oct(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2034 | { |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 2035 | return long_format(v, 8, 1); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2036 | } |
| 2037 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2038 | static PyObject * |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2039 | long_hex(PyObject *v) |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2040 | { |
Fred Drake | 121ee27 | 1999-12-23 15:41:28 +0000 | [diff] [blame] | 2041 | return long_format(v, 16, 1); |
Guido van Rossum | 1899c2e | 1992-09-12 11:09:23 +0000 | [diff] [blame] | 2042 | } |
| 2043 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2044 | static PyNumberMethods long_as_number = { |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2045 | (binaryfunc) long_add, /*nb_add*/ |
| 2046 | (binaryfunc) long_sub, /*nb_subtract*/ |
| 2047 | (binaryfunc) long_mul, /*nb_multiply*/ |
| 2048 | (binaryfunc) long_div, /*nb_divide*/ |
| 2049 | (binaryfunc) long_mod, /*nb_remainder*/ |
| 2050 | (binaryfunc) long_divmod, /*nb_divmod*/ |
| 2051 | (ternaryfunc) long_pow, /*nb_power*/ |
| 2052 | (unaryfunc) long_neg, /*nb_negative*/ |
| 2053 | (unaryfunc) long_pos, /*tp_positive*/ |
| 2054 | (unaryfunc) long_abs, /*tp_absolute*/ |
| 2055 | (inquiry) long_nonzero, /*tp_nonzero*/ |
| 2056 | (unaryfunc) long_invert, /*nb_invert*/ |
| 2057 | (binaryfunc) long_lshift, /*nb_lshift*/ |
| 2058 | (binaryfunc) long_rshift, /*nb_rshift*/ |
| 2059 | (binaryfunc) long_and, /*nb_and*/ |
| 2060 | (binaryfunc) long_xor, /*nb_xor*/ |
| 2061 | (binaryfunc) long_or, /*nb_or*/ |
Tim Peters | 9ace6bc | 2000-07-08 00:32:04 +0000 | [diff] [blame] | 2062 | (coercion) long_coerce, /*nb_coerce*/ |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2063 | (unaryfunc) long_int, /*nb_int*/ |
| 2064 | (unaryfunc) long_long, /*nb_long*/ |
| 2065 | (unaryfunc) long_float, /*nb_float*/ |
| 2066 | (unaryfunc) long_oct, /*nb_oct*/ |
| 2067 | (unaryfunc) long_hex, /*nb_hex*/ |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2068 | 0, /*nb_inplace_add*/ |
| 2069 | 0, /*nb_inplace_subtract*/ |
| 2070 | 0, /*nb_inplace_multiply*/ |
| 2071 | 0, /*nb_inplace_divide*/ |
| 2072 | 0, /*nb_inplace_remainder*/ |
| 2073 | 0, /*nb_inplace_power*/ |
| 2074 | 0, /*nb_inplace_lshift*/ |
| 2075 | 0, /*nb_inplace_rshift*/ |
| 2076 | 0, /*nb_inplace_and*/ |
| 2077 | 0, /*nb_inplace_xor*/ |
| 2078 | 0, /*nb_inplace_or*/ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2079 | }; |
| 2080 | |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2081 | PyTypeObject PyLong_Type = { |
| 2082 | PyObject_HEAD_INIT(&PyType_Type) |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2083 | 0, |
| 2084 | "long int", |
Guido van Rossum | c0b618a | 1997-05-02 03:12:38 +0000 | [diff] [blame] | 2085 | sizeof(PyLongObject) - sizeof(digit), |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2086 | sizeof(digit), |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2087 | (destructor)long_dealloc, /*tp_dealloc*/ |
| 2088 | 0, /*tp_print*/ |
| 2089 | 0, /*tp_getattr*/ |
| 2090 | 0, /*tp_setattr*/ |
Tim Peters | 9ace6bc | 2000-07-08 00:32:04 +0000 | [diff] [blame] | 2091 | (cmpfunc)long_compare, /*tp_compare*/ |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2092 | (reprfunc)long_repr, /*tp_repr*/ |
| 2093 | &long_as_number, /*tp_as_number*/ |
| 2094 | 0, /*tp_as_sequence*/ |
| 2095 | 0, /*tp_as_mapping*/ |
Tim Peters | 9ace6bc | 2000-07-08 00:32:04 +0000 | [diff] [blame] | 2096 | (hashfunc)long_hash, /*tp_hash*/ |
Tim Peters | 9f688bf | 2000-07-07 15:53:28 +0000 | [diff] [blame] | 2097 | 0, /*tp_call*/ |
| 2098 | (reprfunc)long_str, /*tp_str*/ |
Neil Schemenauer | ba872e2 | 2001-01-04 01:46:03 +0000 | [diff] [blame] | 2099 | 0, /*tp_getattro*/ |
| 2100 | 0, /*tp_setattro*/ |
| 2101 | 0, /*tp_as_buffer*/ |
Guido van Rossum | 6fd867b | 2001-01-17 15:33:18 +0000 | [diff] [blame] | 2102 | Py_TPFLAGS_CHECKTYPES /*tp_flags*/ |
Guido van Rossum | edcc38a | 1991-05-05 20:09:44 +0000 | [diff] [blame] | 2103 | }; |