| 1 | /* -*-c-*- |
| 2 | * |
| 3 | * Multiprecision arithmetic |
| 4 | * |
| 5 | * (c) 2004 Straylight/Edgeware |
| 6 | */ |
| 7 | |
| 8 | /*----- Licensing notice --------------------------------------------------* |
| 9 | * |
| 10 | * This file is part of the Python interface to Catacomb. |
| 11 | * |
| 12 | * Catacomb/Python is free software; you can redistribute it and/or modify |
| 13 | * it under the terms of the GNU General Public License as published by |
| 14 | * the Free Software Foundation; either version 2 of the License, or |
| 15 | * (at your option) any later version. |
| 16 | * |
| 17 | * Catacomb/Python is distributed in the hope that it will be useful, |
| 18 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 19 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| 20 | * GNU General Public License for more details. |
| 21 | * |
| 22 | * You should have received a copy of the GNU General Public License |
| 23 | * along with Catacomb/Python; if not, write to the Free Software Foundation, |
| 24 | * Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
| 25 | */ |
| 26 | |
| 27 | /*----- Header files ------------------------------------------------------*/ |
| 28 | |
| 29 | #include "catacomb-python.h" |
| 30 | |
| 31 | /*----- General utilities -------------------------------------------------*/ |
| 32 | |
| 33 | PyTypeObject *mp_pytype = 0; |
| 34 | PyTypeObject *gf_pytype = 0; |
| 35 | |
| 36 | mp *mp_frompylong(PyObject *obj) |
| 37 | { |
| 38 | unsigned long bits; |
| 39 | PyLongObject *l = (PyLongObject *)obj; |
| 40 | int sz; |
| 41 | size_t w; |
| 42 | mpd r = 0; |
| 43 | int b = 0; |
| 44 | int i; |
| 45 | mp *x; |
| 46 | mpw *p; |
| 47 | |
| 48 | sz = l->ob_size; |
| 49 | if (sz < 0) sz = -sz; |
| 50 | assert(MPW_BITS >= SHIFT); |
| 51 | bits = (unsigned long)sz * SHIFT; |
| 52 | w = (bits + MPW_BITS - 1)/MPW_BITS; |
| 53 | x = mp_new(w, l->ob_size < 0 ? MP_NEG : 0); |
| 54 | p = x->v; |
| 55 | for (i = 0; i < sz; i++) { |
| 56 | r |= (mpd)l->ob_digit[i] << b; |
| 57 | b += SHIFT; |
| 58 | while (b >= MPW_BITS) { |
| 59 | *p++ = MPW(r); |
| 60 | r >>= MPW_BITS; |
| 61 | b -= MPW_BITS; |
| 62 | } |
| 63 | } |
| 64 | while (r) { |
| 65 | *p++ = MPW(r); |
| 66 | r >>= MPW_BITS; |
| 67 | } |
| 68 | x->vl = p; |
| 69 | MP_SHRINK(x); |
| 70 | return (x); |
| 71 | } |
| 72 | |
| 73 | PyObject *mp_topylong(mp *x) |
| 74 | { |
| 75 | unsigned long bits = mp_bits(x); |
| 76 | int sz = (bits + SHIFT - 1)/SHIFT; |
| 77 | PyLongObject *l = _PyLong_New(sz); |
| 78 | mpd r = 0; |
| 79 | int b = 0; |
| 80 | mpw *p = x->v; |
| 81 | int i = 0; |
| 82 | |
| 83 | assert(MPW_BITS >= SHIFT); |
| 84 | while (i < sz && p < x->vl) { |
| 85 | r |= (mpd)*p++ << b; |
| 86 | b += MPW_BITS; |
| 87 | while (i < sz && b >= SHIFT) { |
| 88 | l->ob_digit[i++] = r & MASK; |
| 89 | r >>= SHIFT; |
| 90 | b -= SHIFT; |
| 91 | } |
| 92 | } |
| 93 | while (i < sz && r) { |
| 94 | l->ob_digit[i++] = r & MASK; |
| 95 | r >>= SHIFT; |
| 96 | } |
| 97 | l->ob_size = (x->f & MP_NEG) ? -sz : sz; |
| 98 | return ((PyObject *)l); |
| 99 | } |
| 100 | |
| 101 | mp *mp_frompyobject(PyObject *o, int radix) |
| 102 | { |
| 103 | mp *x; |
| 104 | |
| 105 | if (PyString_Check(o)) { |
| 106 | mptext_stringctx sc; |
| 107 | mp *x; |
| 108 | sc.buf = PyString_AS_STRING(o); |
| 109 | sc.lim = sc.buf + PyString_GET_SIZE(o); |
| 110 | x = mp_read(MP_NEW, radix, &mptext_stringops, &sc); |
| 111 | if (!x) return (0); |
| 112 | if (sc.buf < sc.lim) { MP_DROP(x); return (0); } |
| 113 | return (x); |
| 114 | } |
| 115 | if ((x = tomp(o)) != 0) |
| 116 | return (x); |
| 117 | return (0); |
| 118 | } |
| 119 | |
| 120 | PyObject *mp_topystring(mp *x, int radix, const char *xpre, |
| 121 | const char *pre, const char *post) |
| 122 | { |
| 123 | int len = mptext_len(x, radix) + 1; |
| 124 | mptext_stringctx sc; |
| 125 | PyObject *o; |
| 126 | size_t xprelen = xpre ? strlen(xpre) : 0; |
| 127 | size_t prelen = pre ? strlen(pre) : 0; |
| 128 | size_t postlen = post ? strlen(post) : 0; |
| 129 | char *p; |
| 130 | MP_COPY(x); |
| 131 | o = PyString_FromStringAndSize(0, len + 1 + xprelen + prelen + postlen); |
| 132 | p = PyString_AS_STRING(o); |
| 133 | sc.buf = p; |
| 134 | if (xpre) { memcpy(sc.buf, xpre, xprelen); sc.buf += xprelen; } |
| 135 | if (MP_NEGP(x)) { *sc.buf++ = '-'; x = mp_neg(x, x); } |
| 136 | if (pre) { memcpy(sc.buf, pre, prelen); sc.buf += prelen; } |
| 137 | sc.lim = sc.buf + len; |
| 138 | mp_write(x, radix, &mptext_stringops, &sc); |
| 139 | if (post) { memcpy(sc.buf, post, postlen); sc.buf += postlen; } |
| 140 | MP_DROP(x); |
| 141 | _PyString_Resize(&o, sc.buf - p); |
| 142 | return (o); |
| 143 | } |
| 144 | |
| 145 | static int good_radix_p(int r, int readp) |
| 146 | { |
| 147 | return ((r >= -255 && r <= -2) || |
| 148 | (readp && r == 0) || |
| 149 | (r >= 2 && r <= 62)); |
| 150 | } |
| 151 | |
| 152 | PyObject *mp_pywrap(mp *x) |
| 153 | { |
| 154 | mp_pyobj *z = PyObject_New(mp_pyobj, mp_pytype); |
| 155 | z->x = x; |
| 156 | return ((PyObject *)z); |
| 157 | } |
| 158 | |
| 159 | PyObject *gf_pywrap(mp *x) |
| 160 | { |
| 161 | mp_pyobj *z = PyObject_New(mp_pyobj, gf_pytype); |
| 162 | z->x = x; |
| 163 | return ((PyObject *)z); |
| 164 | } |
| 165 | |
| 166 | int mp_tolong_checked(mp *x, long *l, int must) |
| 167 | { |
| 168 | static mp *longmin = 0, *longmax = 0; |
| 169 | int rc = -1; |
| 170 | |
| 171 | if (!longmax) { |
| 172 | longmin = mp_fromlong(MP_NEW, LONG_MIN); |
| 173 | longmax = mp_fromlong(MP_NEW, LONG_MAX); |
| 174 | } |
| 175 | if (MP_CMP(x, <, longmin) || MP_CMP(x, >, longmax)) { |
| 176 | if (must) VALERR("mp out of range for int"); |
| 177 | else goto end; |
| 178 | } |
| 179 | *l = mp_tolong(x); |
| 180 | rc = 0; |
| 181 | end: |
| 182 | return (rc); |
| 183 | } |
| 184 | |
| 185 | /*----- Python interface --------------------------------------------------*/ |
| 186 | |
| 187 | static void mp_pydealloc(PyObject *o) |
| 188 | { |
| 189 | MP_DROP(MP_X(o)); |
| 190 | FREEOBJ(o); |
| 191 | } |
| 192 | |
| 193 | static PyObject *mp_pyrepr(PyObject *o) |
| 194 | { return mp_topystring(MP_X(o), 10, "MP(", 0, "L)"); } |
| 195 | |
| 196 | static PyObject *mp_pystr(PyObject *o) |
| 197 | { return mp_topystring(MP_X(o), 10, 0, 0, 0); } |
| 198 | |
| 199 | mp *tomp(PyObject *o) |
| 200 | { |
| 201 | PyObject *l; |
| 202 | mp *x; |
| 203 | |
| 204 | if (!o) |
| 205 | return (0); |
| 206 | else if (MP_PYCHECK(o) || GF_PYCHECK(o)) |
| 207 | return (MP_COPY(MP_X(o))); |
| 208 | else if (FE_PYCHECK(o)) |
| 209 | return (F_OUT(FE_F(o), MP_NEW, FE_X(o))); |
| 210 | else if (PFILT_PYCHECK(o)) |
| 211 | return (MP_COPY(PFILT_F(o)->m)); |
| 212 | else if (ECPT_PYCHECK(o)) { |
| 213 | ec p = EC_INIT; |
| 214 | if (EC_ATINF(ECPT_P(o))) return (0); |
| 215 | getecptout(&p, o); |
| 216 | x = MP_COPY(p.x); |
| 217 | EC_DESTROY(&p); |
| 218 | return (x); |
| 219 | } else if (GE_PYCHECK(o)) { |
| 220 | if ((x = G_TOINT(GE_G(o), MP_NEW, GE_X(o))) == 0) |
| 221 | return (0); |
| 222 | return (x); |
| 223 | } else if (PyInt_Check(o)) |
| 224 | return (mp_fromlong(MP_NEW, PyInt_AS_LONG(o))); |
| 225 | else if ((l = PyNumber_Long(o)) != 0) { |
| 226 | x = mp_frompylong(l); |
| 227 | Py_DECREF(l); |
| 228 | return (x); |
| 229 | } else { |
| 230 | PyErr_Clear(); |
| 231 | return (0); |
| 232 | } |
| 233 | } |
| 234 | |
| 235 | mp *getmp(PyObject *o) |
| 236 | { |
| 237 | mp *x = 0; |
| 238 | if (!o) return (0); |
| 239 | if ((x = tomp(o)) == 0) { |
| 240 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp", |
| 241 | o->ob_type->tp_name); |
| 242 | } |
| 243 | return (x); |
| 244 | } |
| 245 | |
| 246 | int convmp(PyObject *o, void *p) |
| 247 | { |
| 248 | mp *x; |
| 249 | if ((x = getmp(o)) == 0) return (0); |
| 250 | *(mp **)p = x; |
| 251 | return (1); |
| 252 | } |
| 253 | |
| 254 | mp *getgf(PyObject *o) |
| 255 | { |
| 256 | mp *x = 0; |
| 257 | if (!o) return (0); |
| 258 | if ((x = tomp(o)) == 0) { |
| 259 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf", |
| 260 | o->ob_type->tp_name); |
| 261 | } |
| 262 | return (x); |
| 263 | } |
| 264 | |
| 265 | int convgf(PyObject *o, void *p) |
| 266 | { |
| 267 | mp *x; |
| 268 | if ((x = getgf(o)) == 0) return (0); |
| 269 | *(mp **)p = x; |
| 270 | return (1); |
| 271 | } |
| 272 | |
| 273 | static mp *implicitmp(PyObject *o) |
| 274 | { |
| 275 | if (!o || |
| 276 | GF_PYCHECK(o) || |
| 277 | ECPT_PYCHECK(o) || |
| 278 | FE_PYCHECK(o) || |
| 279 | GE_PYCHECK(o)) |
| 280 | return (0); |
| 281 | return (tomp(o)); |
| 282 | } |
| 283 | |
| 284 | static mp *implicitgf(PyObject *o) |
| 285 | { |
| 286 | if (!o || |
| 287 | MP_PYCHECK(o) || |
| 288 | ECPT_PYCHECK(o) || |
| 289 | FE_PYCHECK(o) || |
| 290 | GE_PYCHECK(o)) |
| 291 | return (0); |
| 292 | return (tomp(o)); |
| 293 | } |
| 294 | |
| 295 | static int mpbinop(PyObject *x, PyObject *y, mp **xx, mp **yy) |
| 296 | { |
| 297 | if ((*xx = implicitmp(x)) == 0) |
| 298 | return (-1); |
| 299 | if ((*yy = implicitmp(y)) == 0) { |
| 300 | MP_DROP(*xx); |
| 301 | return (-1); |
| 302 | } |
| 303 | return (0); |
| 304 | } |
| 305 | |
| 306 | static int gfbinop(PyObject *x, PyObject *y, mp **xx, mp **yy) |
| 307 | { |
| 308 | if ((*xx = implicitgf(x)) == 0) |
| 309 | return (-1); |
| 310 | if ((*yy = implicitgf(y)) == 0) { |
| 311 | MP_DROP(*xx); |
| 312 | return (-1); |
| 313 | } |
| 314 | return (0); |
| 315 | } |
| 316 | |
| 317 | #define gf_and mp_and |
| 318 | #define gf_or mp_or |
| 319 | #define gf_xor mp_xor |
| 320 | #define BINOP(pre, name) \ |
| 321 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ |
| 322 | mp *xx, *yy, *zz; \ |
| 323 | if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ |
| 324 | zz = pre##_##name(MP_NEW, xx, yy); \ |
| 325 | MP_DROP(xx); MP_DROP(yy); \ |
| 326 | return (pre##_pywrap(zz)); \ |
| 327 | } |
| 328 | BINOP(mp, add) |
| 329 | BINOP(mp, sub) |
| 330 | BINOP(mp, mul) |
| 331 | BINOP(mp, and2c) |
| 332 | BINOP(mp, or2c) |
| 333 | BINOP(mp, xor2c) |
| 334 | BINOP(gf, add) |
| 335 | BINOP(gf, sub) |
| 336 | BINOP(gf, mul) |
| 337 | BINOP(gf, and) |
| 338 | BINOP(gf, or) |
| 339 | BINOP(gf, xor) |
| 340 | #undef BINOP |
| 341 | |
| 342 | static mp *mp_abs(mp *d, mp *x) |
| 343 | { |
| 344 | if (MP_NEGP(x)) |
| 345 | return (mp_neg(d, x)); |
| 346 | MP_COPY(x); |
| 347 | if (d) MP_DROP(d); |
| 348 | return (x); |
| 349 | } |
| 350 | |
| 351 | #define UNOP(pre, name) \ |
| 352 | static PyObject *pre##_py##name(PyObject *x) \ |
| 353 | { return mp_pywrap(pre##_##name(MP_NEW, MP_X(x))); } |
| 354 | UNOP(mp, neg) |
| 355 | UNOP(mp, abs) |
| 356 | UNOP(mp, not2c) |
| 357 | #undef UNOP |
| 358 | |
| 359 | static PyObject *mp_pyid(PyObject *x) { RETURN_OBJ(x); } |
| 360 | |
| 361 | #define gf_lsr mp_lsr |
| 362 | #define SHIFTOP(pre, name, rname) \ |
| 363 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ |
| 364 | mp *xx, *yy; \ |
| 365 | PyObject *z = 0; \ |
| 366 | long n; \ |
| 367 | if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ |
| 368 | if (mp_tolong_checked(yy, &n, 1)) goto end; \ |
| 369 | if (n < 0) \ |
| 370 | z = pre##_pywrap(mp_##rname(MP_NEW, xx, -n)); \ |
| 371 | else \ |
| 372 | z = pre##_pywrap(mp_##name(MP_NEW, xx, n)); \ |
| 373 | end: \ |
| 374 | MP_DROP(xx); MP_DROP(yy); \ |
| 375 | return (z); \ |
| 376 | } |
| 377 | SHIFTOP(mp, lsl2c, lsr2c) |
| 378 | SHIFTOP(mp, lsr2c, lsl2c) |
| 379 | SHIFTOP(gf, lsl, lsr) |
| 380 | SHIFTOP(gf, lsr, lsl) |
| 381 | #undef SHIFTOP |
| 382 | |
| 383 | #define DIVOP(pre, name, qq, rr, gather) \ |
| 384 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ |
| 385 | mp *xx, *yy; \ |
| 386 | PyObject *z = 0; \ |
| 387 | INIT_##qq(q) INIT_##rr(r) \ |
| 388 | if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ |
| 389 | if (MP_ZEROP(yy)) \ |
| 390 | ZDIVERR("division by zero"); \ |
| 391 | pre##_div(ARG_##qq(q), ARG_##rr(r), xx, yy); \ |
| 392 | z = gather; \ |
| 393 | end: \ |
| 394 | MP_DROP(xx); MP_DROP(yy); \ |
| 395 | return (z); \ |
| 396 | } |
| 397 | #define INIT_YES(p) mp *p = MP_NEW; |
| 398 | #define INIT_NO(p) |
| 399 | #define ARG_YES(p) &p |
| 400 | #define ARG_NO(p) 0 |
| 401 | DIVOP(mp, divmod, YES, YES, |
| 402 | Py_BuildValue("(NN)", mp_pywrap(q), mp_pywrap(r))) |
| 403 | DIVOP(mp, div, YES, NO, mp_pywrap(q)) |
| 404 | DIVOP(mp, mod, NO, YES, mp_pywrap(r)) |
| 405 | DIVOP(gf, divmod, YES, YES, |
| 406 | Py_BuildValue("(NN)", gf_pywrap(q), gf_pywrap(r))) |
| 407 | DIVOP(gf, div, YES, NO, gf_pywrap(q)) |
| 408 | DIVOP(gf, mod, NO, YES, gf_pywrap(r)) |
| 409 | #undef INIT_YES |
| 410 | #undef INIT_NO |
| 411 | #undef ARG_YES |
| 412 | #undef ARG_NO |
| 413 | #undef DIVOP |
| 414 | |
| 415 | static mp *mp_modinv_checked(mp *d, mp *x, mp *p) |
| 416 | { |
| 417 | mp *g = MP_NEW; |
| 418 | mp_gcd(&g, 0, &d, p, x); |
| 419 | if (!MP_EQ(g, MP_ONE)) { |
| 420 | MP_DROP(g); MP_DROP(d); |
| 421 | PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse"); |
| 422 | return (0); |
| 423 | } |
| 424 | MP_DROP(g); return (d); |
| 425 | } |
| 426 | |
| 427 | static PyObject *mp_pyexp(PyObject *x, PyObject *y, PyObject *z) |
| 428 | { |
| 429 | mp *xx = 0, *yy = 0, *zz = 0; |
| 430 | mp *r = 0; |
| 431 | PyObject *rc = 0; |
| 432 | |
| 433 | if ((xx = implicitmp(x)) == 0 || (yy = implicitmp(y)) == 0 || |
| 434 | (z && z != Py_None && (zz = tomp(z)) == 0)) { |
| 435 | mp_drop(xx); mp_drop(yy); mp_drop(zz); |
| 436 | RETURN_NOTIMPL; |
| 437 | } |
| 438 | if (!z || z == Py_None) { |
| 439 | if (MP_NEGP(yy)) VALERR("negative exponent"); |
| 440 | r = mp_exp(MP_NEW, xx, yy); |
| 441 | } else { |
| 442 | if (!MP_POSP(zz)) VALERR("modulus must be positive"); |
| 443 | if (MP_NEGP(yy)) { |
| 444 | if ((xx = mp_modinv_checked(xx, xx, zz)) == 0) goto end; |
| 445 | yy = mp_neg(yy, yy); |
| 446 | } |
| 447 | if (MP_ODDP(zz)) { |
| 448 | mpmont mm; |
| 449 | mpmont_create(&mm, zz); |
| 450 | r = mpmont_exp(&mm, MP_NEW, xx, yy); |
| 451 | mpmont_destroy(&mm); |
| 452 | } else { |
| 453 | mpbarrett mb; |
| 454 | mpbarrett_create(&mb, zz); |
| 455 | r = mpbarrett_exp(&mb, MP_NEW, xx, yy); |
| 456 | mpbarrett_destroy(&mb); |
| 457 | } |
| 458 | } |
| 459 | rc = mp_pywrap(r); |
| 460 | end: |
| 461 | mp_drop(xx); mp_drop(yy); mp_drop(zz); |
| 462 | return (rc); |
| 463 | } |
| 464 | |
| 465 | static mp *gf_modinv_checked(mp *d, mp *x, mp *p) |
| 466 | { |
| 467 | mp *g = MP_NEW; |
| 468 | gf_gcd(&g, 0, &d, p, x); |
| 469 | if (!MP_EQ(g, MP_ONE)) { |
| 470 | MP_DROP(g); MP_DROP(d); |
| 471 | PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse"); |
| 472 | return (0); |
| 473 | } |
| 474 | MP_DROP(g); return (d); |
| 475 | } |
| 476 | |
| 477 | #define BASEOP(name, radix, pre) \ |
| 478 | static PyObject *mp_py##name(PyObject *x) \ |
| 479 | { return mp_topystring(MP_X(x), radix, 0, pre, 0); } |
| 480 | BASEOP(oct, 8, "0"); |
| 481 | BASEOP(hex, 16, "0x"); |
| 482 | #undef BASEOP |
| 483 | |
| 484 | static int mp_pynonzerop(PyObject *x) { return !MP_ZEROP(MP_X(x)); } |
| 485 | |
| 486 | static PyObject *mp_pyint(PyObject *x) |
| 487 | { |
| 488 | long l; |
| 489 | if (!mp_tolong_checked(MP_X(x), &l, 0)) return (PyInt_FromLong(l)); |
| 490 | else return mp_topylong(MP_X(x)); |
| 491 | } |
| 492 | static PyObject *mp_pylong(PyObject *x) |
| 493 | { return (mp_topylong(MP_X(x))); } |
| 494 | static PyObject *mp_pyfloat(PyObject *x) |
| 495 | { |
| 496 | PyObject *l = mp_topylong(MP_X(x)); |
| 497 | double f = PyLong_AsDouble(l); |
| 498 | Py_DECREF(l); |
| 499 | return (PyFloat_FromDouble(f)); |
| 500 | } |
| 501 | |
| 502 | #define COERCE(pre, PRE) \ |
| 503 | static int pre##_pycoerce(PyObject **x, PyObject **y) \ |
| 504 | { \ |
| 505 | mp *z; \ |
| 506 | \ |
| 507 | if (PRE##_PYCHECK(*y)) { \ |
| 508 | Py_INCREF(*x); Py_INCREF(*y); \ |
| 509 | return (0); \ |
| 510 | } \ |
| 511 | if ((z = tomp(*y)) != 0) { \ |
| 512 | Py_INCREF(*x); \ |
| 513 | *y = pre##_pywrap(z); \ |
| 514 | return (0); \ |
| 515 | } \ |
| 516 | return (1); \ |
| 517 | } |
| 518 | COERCE(mp, MP) |
| 519 | COERCE(gf, GF) |
| 520 | #undef COERCE |
| 521 | |
| 522 | static int mp_pycompare(PyObject *x, PyObject *y) |
| 523 | { return mp_cmp(MP_X(x), MP_X(y)); } |
| 524 | |
| 525 | static PyObject *mp_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) |
| 526 | { |
| 527 | PyObject *x; |
| 528 | mp *z; |
| 529 | mp_pyobj *zz = 0; |
| 530 | int radix = 0; |
| 531 | char *kwlist[] = { "x", "radix", 0 }; |
| 532 | |
| 533 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:new", kwlist, &x, &radix)) |
| 534 | goto end; |
| 535 | if (MP_PYCHECK(x)) RETURN_OBJ(x); |
| 536 | if (!good_radix_p(radix, 1)) VALERR("bad radix"); |
| 537 | if ((z = mp_frompyobject(x, radix)) == 0) { |
| 538 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp", |
| 539 | x->ob_type->tp_name); |
| 540 | goto end; |
| 541 | } |
| 542 | zz = (mp_pyobj *)ty->tp_alloc(ty, 0); |
| 543 | zz->x = z; |
| 544 | end: |
| 545 | return ((PyObject *)zz); |
| 546 | } |
| 547 | |
| 548 | long mphash(mp *x) |
| 549 | { |
| 550 | PyObject *l = mp_topylong(x); |
| 551 | long h = PyObject_Hash(l); |
| 552 | Py_DECREF(l); return (h); |
| 553 | } |
| 554 | |
| 555 | static long mp_pyhash(PyObject *me) { return (mphash(MP_X(me))); } |
| 556 | |
| 557 | static PyObject *mpmeth_jacobi(PyObject *me, PyObject *arg) |
| 558 | { |
| 559 | mp *y = 0; |
| 560 | PyObject *z = 0; |
| 561 | |
| 562 | if (!PyArg_ParseTuple(arg, "O&:jacobi", convmp, &y)) goto end; |
| 563 | z = PyInt_FromLong(mp_jacobi(y, MP_X(me))); |
| 564 | end: |
| 565 | if (y) MP_DROP(y); |
| 566 | return (z); |
| 567 | } |
| 568 | |
| 569 | #define BITOP(pre, name, c) \ |
| 570 | static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \ |
| 571 | { \ |
| 572 | unsigned long i; \ |
| 573 | if (!PyArg_ParseTuple(arg, "O&:" #name, convulong, &i)) return (0); \ |
| 574 | return (pre##_pywrap(mp_##name##c(MP_NEW, MP_X(me), i))); \ |
| 575 | } |
| 576 | BITOP(mp, setbit, 2c); |
| 577 | BITOP(mp, clearbit, 2c); |
| 578 | BITOP(gf, setbit, ); |
| 579 | BITOP(gf, clearbit, ); |
| 580 | #undef BITOP |
| 581 | |
| 582 | static PyObject *mpmeth_testbit(PyObject *me, PyObject *arg) |
| 583 | { |
| 584 | unsigned long i; |
| 585 | if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0); |
| 586 | return (getbool(mp_testbit2c(MP_X(me), i))); |
| 587 | } |
| 588 | |
| 589 | static PyObject *gfmeth_testbit(PyObject *me, PyObject *arg) |
| 590 | { |
| 591 | unsigned long i; |
| 592 | if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0); |
| 593 | return (getbool(mp_testbit(MP_X(me), i))); |
| 594 | } |
| 595 | |
| 596 | static PyObject *mpmeth_odd(PyObject *me, PyObject *arg) |
| 597 | { |
| 598 | mp *t; |
| 599 | size_t s; |
| 600 | |
| 601 | if (!PyArg_ParseTuple(arg, ":odd")) return (0); |
| 602 | t = mp_odd(MP_NEW, MP_X(me), &s); |
| 603 | return (Py_BuildValue("(lN)", (long)s, mp_pywrap(t))); |
| 604 | } |
| 605 | |
| 606 | static PyObject *mpmeth_sqr(PyObject *me, PyObject *arg) |
| 607 | { |
| 608 | if (!PyArg_ParseTuple(arg, ":sqr")) return (0); |
| 609 | return (mp_pywrap(mp_sqr(MP_NEW, MP_X(me)))); |
| 610 | } |
| 611 | |
| 612 | static PyObject *mpmeth_sqrt(PyObject *me, PyObject *arg) |
| 613 | { |
| 614 | if (!PyArg_ParseTuple(arg, ":sqrt")) return (0); |
| 615 | if (MP_NEGP(MP_X(me))) VALERR("negative root"); |
| 616 | return (mp_pywrap(mp_sqrt(MP_NEW, MP_X(me)))); |
| 617 | end: |
| 618 | return (0); |
| 619 | } |
| 620 | |
| 621 | static PyObject *mpmeth_gcd(PyObject *me, PyObject *arg) |
| 622 | { |
| 623 | mp *y = 0, *zz = MP_NEW; |
| 624 | PyObject *z = 0; |
| 625 | |
| 626 | if (!PyArg_ParseTuple(arg, "O&:gcd", convmp, &y)) goto end; |
| 627 | mp_gcd(&zz, 0, 0, MP_X(me), y); |
| 628 | z = mp_pywrap(zz); |
| 629 | end: |
| 630 | if (y) MP_DROP(y); |
| 631 | return (z); |
| 632 | } |
| 633 | |
| 634 | static PyObject *mpmeth_gcdx(PyObject *me, PyObject *arg) |
| 635 | { |
| 636 | PyObject *z = 0; |
| 637 | mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW; |
| 638 | |
| 639 | if (!PyArg_ParseTuple(arg, "O&:gcdx", convmp, &yy)) goto end; |
| 640 | mp_gcd(&zz, &uu, &vv, MP_X(me), yy); |
| 641 | z = Py_BuildValue("(NNN)", |
| 642 | mp_pywrap(zz), mp_pywrap(uu), mp_pywrap(vv)); |
| 643 | end: |
| 644 | if (yy) MP_DROP(yy); |
| 645 | return (z); |
| 646 | } |
| 647 | |
| 648 | static PyObject *mpmeth_modinv(PyObject *me, PyObject *arg) |
| 649 | { |
| 650 | PyObject *z = 0; |
| 651 | mp *yy = 0, *zz = MP_NEW; |
| 652 | |
| 653 | if (!PyArg_ParseTuple(arg, "O&:modinv", convmp, &yy) || |
| 654 | (zz = mp_modinv_checked(MP_NEW, yy, MP_X(me))) == 0) |
| 655 | goto end; |
| 656 | z = mp_pywrap(zz); |
| 657 | end: |
| 658 | if (yy) MP_DROP(yy); |
| 659 | return (z); |
| 660 | } |
| 661 | |
| 662 | static PyObject *mpmeth_tostring(PyObject *me, PyObject *arg, PyObject *kw) |
| 663 | { |
| 664 | int radix = 10; |
| 665 | char *kwlist[] = { "radix", 0 }; |
| 666 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:tostring", kwlist, &radix)) |
| 667 | goto end; |
| 668 | if (!good_radix_p(radix, 0)) VALERR("bad radix"); |
| 669 | return (mp_topystring(MP_X(me), radix, 0, 0, 0)); |
| 670 | end: |
| 671 | return (0); |
| 672 | } |
| 673 | |
| 674 | static PyObject *mpmeth_modsqrt(PyObject *me, PyObject *arg) |
| 675 | { |
| 676 | PyObject *z = 0; |
| 677 | mp *yy = 0, *zz = MP_NEW; |
| 678 | |
| 679 | if (!PyArg_ParseTuple(arg, "O&:modsqrt", convmp, &yy)) goto end; |
| 680 | if ((zz = mp_modsqrt(MP_NEW, yy, MP_X(me))) == 0) |
| 681 | VALERR("no modular square root"); |
| 682 | z = mp_pywrap(zz); |
| 683 | end: |
| 684 | if (yy) MP_DROP(yy); |
| 685 | return (z); |
| 686 | } |
| 687 | |
| 688 | static PyObject *mpmeth_leastcongruent(PyObject *me, PyObject *arg) |
| 689 | { |
| 690 | mp *z, *b, *m; |
| 691 | PyObject *rc = 0; |
| 692 | |
| 693 | if (!PyArg_ParseTuple(arg, "O&O&:leastcongruent", convmp, &b, convmp, &m)) |
| 694 | goto end; |
| 695 | z = mp_leastcongruent(MP_NEW, b, MP_X(me), m); |
| 696 | rc = mp_pywrap(z); |
| 697 | end: |
| 698 | return (rc); |
| 699 | } |
| 700 | |
| 701 | #define STOREOP(name, c) \ |
| 702 | static PyObject *mpmeth_##name(PyObject *me, \ |
| 703 | PyObject *arg, PyObject *kw) \ |
| 704 | { \ |
| 705 | long len = -1; \ |
| 706 | char *kwlist[] = { "len", 0 }; \ |
| 707 | PyObject *rc = 0; \ |
| 708 | \ |
| 709 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|l:" #name, \ |
| 710 | kwlist, &len)) \ |
| 711 | goto end; \ |
| 712 | if (len < 0) { \ |
| 713 | len = mp_octets##c(MP_X(me)); \ |
| 714 | if (!len) len = 1; \ |
| 715 | } \ |
| 716 | rc = bytestring_pywrap(0, len); \ |
| 717 | mp_##name(MP_X(me), PyString_AS_STRING(rc), len); \ |
| 718 | end: \ |
| 719 | return (rc); \ |
| 720 | } |
| 721 | STOREOP(storel, ) |
| 722 | STOREOP(storeb, ) |
| 723 | STOREOP(storel2c, 2c) |
| 724 | STOREOP(storeb2c, 2c) |
| 725 | #undef STOREOP |
| 726 | |
| 727 | #define BUFOP(ty, pyty) \ |
| 728 | static PyObject *meth__##pyty##_frombuf(PyObject *me, PyObject *arg) \ |
| 729 | { \ |
| 730 | buf b; \ |
| 731 | char *p; \ |
| 732 | Py_ssize_t sz; \ |
| 733 | PyObject *rc = 0; \ |
| 734 | mp *x; \ |
| 735 | \ |
| 736 | if (!PyArg_ParseTuple(arg, "Os#:frombuf", &me, &p, &sz)) goto end; \ |
| 737 | buf_init(&b, p, sz); \ |
| 738 | if ((x = buf_getmp(&b)) == 0) VALERR("malformed data"); \ |
| 739 | rc = Py_BuildValue("(NN)", ty##_pywrap(x), \ |
| 740 | bytestring_pywrapbuf(&b)); \ |
| 741 | end: \ |
| 742 | return (rc); \ |
| 743 | } |
| 744 | BUFOP(mp, MP) |
| 745 | BUFOP(gf, GF) |
| 746 | #undef BUFOP |
| 747 | |
| 748 | static PyObject *mpmeth_tobuf(PyObject *me, PyObject *arg) |
| 749 | { |
| 750 | buf b; |
| 751 | PyObject *rc; |
| 752 | mp *x; |
| 753 | size_t n; |
| 754 | |
| 755 | if (!PyArg_ParseTuple(arg, ":tobuf")) return (0); |
| 756 | x = MP_X(me); |
| 757 | n = mp_octets(x) + 3; |
| 758 | rc = bytestring_pywrap(0, n); |
| 759 | buf_init(&b, PyString_AS_STRING(rc), n); |
| 760 | buf_putmp(&b, x); |
| 761 | assert(BOK(&b)); |
| 762 | _PyString_Resize(&rc, BLEN(&b)); |
| 763 | return (rc); |
| 764 | } |
| 765 | |
| 766 | static PyObject *mpmeth_primep(PyObject *me, PyObject *arg, PyObject *kw) |
| 767 | { |
| 768 | grand *r = &rand_global; |
| 769 | char *kwlist[] = { "rng", 0 }; |
| 770 | PyObject *rc = 0; |
| 771 | |
| 772 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&", kwlist, convgrand, &r)) |
| 773 | goto end; |
| 774 | rc = getbool(pgen_primep(MP_X(me), r)); |
| 775 | end: |
| 776 | return (rc); |
| 777 | } |
| 778 | |
| 779 | static PyObject *mpget_nbits(PyObject *me, void *hunoz) |
| 780 | { return (PyInt_FromLong(mp_bits(MP_X(me)))); } |
| 781 | |
| 782 | static PyObject *mpget_noctets(PyObject *me, void *hunoz) |
| 783 | { return (PyInt_FromLong(mp_octets(MP_X(me)))); } |
| 784 | |
| 785 | static PyObject *mpget_noctets2c(PyObject *me, void *hunoz) |
| 786 | { return (PyInt_FromLong(mp_octets2c(MP_X(me)))); } |
| 787 | |
| 788 | static PyGetSetDef mp_pygetset[] = { |
| 789 | #define GETSETNAME(op, func) mp##op##_##func |
| 790 | GET (nbits, "X.nbits -> bit length of X") |
| 791 | GET (noctets, "X.noctets -> octet length of X") |
| 792 | GET (noctets2c, "X.noctets2c -> two's complement octet length of X") |
| 793 | #undef GETSETNAME |
| 794 | { 0 } |
| 795 | }; |
| 796 | |
| 797 | static PyMethodDef mp_pymethods[] = { |
| 798 | #define METHNAME(func) mpmeth_##func |
| 799 | METH (jacobi, "X.jacobi(Y) -> Jacobi symbol (Y|X) (NB inversion!)") |
| 800 | METH (setbit, "X.setbit(N) -> X with bit N set") |
| 801 | METH (clearbit, "X.clearbit(N) -> X with bit N clear") |
| 802 | METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X") |
| 803 | METH (odd, "X.odd() -> S, T where X = 2^S T with T odd") |
| 804 | METH (sqr, "X.sqr() -> X^2") |
| 805 | METH (sqrt, "X.sqrt() -> largest integer <= sqrt(X)") |
| 806 | METH (gcd, "X.gcd(Y) -> gcd(X, Y)") |
| 807 | METH (gcdx, |
| 808 | "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)") |
| 809 | METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X") |
| 810 | METH (modsqrt, "X.modsqrt(Y) -> square root of Y mod X, if X prime") |
| 811 | METH (leastcongruent, |
| 812 | "X.leastcongruent(B, M) -> smallest Z >= B with Z == X (mod M)") |
| 813 | KWMETH(primep, "X.primep([rng = rand]) -> true/false if X is prime") |
| 814 | KWMETH(tostring, "X.tostring([radix = 10]) -> STR") |
| 815 | KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes") |
| 816 | KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes") |
| 817 | KWMETH(storel2c, |
| 818 | "X.storel2c([len = -1]) -> little-endian bytes, two's complement") |
| 819 | KWMETH(storeb2c, |
| 820 | "X.storeb2c([len = -1]) -> big-endian bytes, two's complement") |
| 821 | METH (tobuf, "X.tobuf() -> buffer format") |
| 822 | #undef METHNAME |
| 823 | { 0 } |
| 824 | }; |
| 825 | |
| 826 | static PyNumberMethods mp_pynumber = { |
| 827 | mp_pyadd, /* @nb_add@ */ |
| 828 | mp_pysub, /* @nb_subtract@ */ |
| 829 | mp_pymul, /* @nb_multiply@ */ |
| 830 | 0, /* @nb_divide@ */ |
| 831 | mp_pymod, /* @nb_remainder@ */ |
| 832 | mp_pydivmod, /* @nb_divmod@ */ |
| 833 | mp_pyexp, /* @nb_power@ */ |
| 834 | mp_pyneg, /* @nb_negative@ */ |
| 835 | mp_pyid, /* @nb_positive@ */ |
| 836 | mp_pyabs, /* @nb_absolute@ */ |
| 837 | mp_pynonzerop, /* @nb_nonzero@ */ |
| 838 | mp_pynot2c, /* @nb_invert@ */ |
| 839 | mp_pylsl2c, /* @nb_lshift@ */ |
| 840 | mp_pylsr2c, /* @nb_rshift@ */ |
| 841 | mp_pyand2c, /* @nb_and@ */ |
| 842 | mp_pyxor2c, /* @nb_xor@ */ |
| 843 | mp_pyor2c, /* @nb_or@ */ |
| 844 | mp_pycoerce, /* @nb_coerce@ */ |
| 845 | mp_pyint, /* @nb_int@ */ |
| 846 | mp_pylong, /* @nb_long@ */ |
| 847 | mp_pyfloat, /* @nb_float@ */ |
| 848 | mp_pyoct, /* @nb_oct@ */ |
| 849 | mp_pyhex, /* @nb_hex@ */ |
| 850 | |
| 851 | 0, /* @nb_inplace_add@ */ |
| 852 | 0, /* @nb_inplace_subtract@ */ |
| 853 | 0, /* @nb_inplace_multiply@ */ |
| 854 | 0, /* @nb_inplace_divide@ */ |
| 855 | 0, /* @nb_inplace_remainder@ */ |
| 856 | 0, /* @nb_inplace_power@ */ |
| 857 | 0, /* @nb_inplace_lshift@ */ |
| 858 | 0, /* @nb_inplace_rshift@ */ |
| 859 | 0, /* @nb_inplace_and@ */ |
| 860 | 0, /* @nb_inplace_xor@ */ |
| 861 | 0, /* @nb_inplace_or@ */ |
| 862 | |
| 863 | mp_pydiv, /* @nb_floor_divide@ */ |
| 864 | 0, /* @nb_true_divide@ */ |
| 865 | 0, /* @nb_inplace_floor_divide@ */ |
| 866 | 0, /* @nb_inplace_true_divide@ */ |
| 867 | }; |
| 868 | |
| 869 | static PyTypeObject mp_pytype_skel = { |
| 870 | PyObject_HEAD_INIT(0) 0, /* Header */ |
| 871 | "MP", /* @tp_name@ */ |
| 872 | sizeof(mp_pyobj), /* @tp_basicsize@ */ |
| 873 | 0, /* @tp_itemsize@ */ |
| 874 | |
| 875 | mp_pydealloc, /* @tp_dealloc@ */ |
| 876 | 0, /* @tp_print@ */ |
| 877 | 0, /* @tp_getattr@ */ |
| 878 | 0, /* @tp_setattr@ */ |
| 879 | mp_pycompare, /* @tp_compare@ */ |
| 880 | mp_pyrepr, /* @tp_repr@ */ |
| 881 | &mp_pynumber, /* @tp_as_number@ */ |
| 882 | 0, /* @tp_as_sequence@ */ |
| 883 | 0, /* @tp_as_mapping@ */ |
| 884 | mp_pyhash, /* @tp_hash@ */ |
| 885 | 0, /* @tp_call@ */ |
| 886 | mp_pystr, /* @tp_str@ */ |
| 887 | 0, /* @tp_getattro@ */ |
| 888 | 0, /* @tp_setattro@ */ |
| 889 | 0, /* @tp_as_buffer@ */ |
| 890 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ |
| 891 | Py_TPFLAGS_CHECKTYPES | |
| 892 | Py_TPFLAGS_BASETYPE, |
| 893 | |
| 894 | /* @tp_doc@ */ |
| 895 | "Multiprecision integers, similar to `long' but more efficient and\n\ |
| 896 | versatile. Support all the standard arithmetic operations, with\n\ |
| 897 | implicit conversions from `PrimeFilter', and other objects which\n\ |
| 898 | convert to `long'.\n\ |
| 899 | \n\ |
| 900 | Constructor MP(X, [radix = R]) attempts to convert X to an `MP'. If\n\ |
| 901 | X is a string, it's read in radix-R form, or we look for a prefix\n\ |
| 902 | if R = 0. Other acceptable things are field elements, elliptic curve\n\ |
| 903 | points, group elements, Python `int' and `long' objects, and anything\n\ |
| 904 | with an integer conversion.\n\ |
| 905 | \n\ |
| 906 | Notes:\n\ |
| 907 | \n\ |
| 908 | * Use `//' for division. MPs don't have `/' division.", |
| 909 | |
| 910 | 0, /* @tp_traverse@ */ |
| 911 | 0, /* @tp_clear@ */ |
| 912 | 0, /* @tp_richcompare@ */ |
| 913 | 0, /* @tp_weaklistoffset@ */ |
| 914 | 0, /* @tp_iter@ */ |
| 915 | 0, /* @tp_iternext@ */ |
| 916 | mp_pymethods, /* @tp_methods@ */ |
| 917 | 0, /* @tp_members@ */ |
| 918 | mp_pygetset, /* @tp_getset@ */ |
| 919 | 0, /* @tp_base@ */ |
| 920 | 0, /* @tp_dict@ */ |
| 921 | 0, /* @tp_descr_get@ */ |
| 922 | 0, /* @tp_descr_set@ */ |
| 923 | 0, /* @tp_dictoffset@ */ |
| 924 | 0, /* @tp_init@ */ |
| 925 | PyType_GenericAlloc, /* @tp_alloc@ */ |
| 926 | mp_pynew, /* @tp_new@ */ |
| 927 | 0, /* @tp_free@ */ |
| 928 | 0 /* @tp_is_gc@ */ |
| 929 | }; |
| 930 | |
| 931 | static PyObject *meth__MP_fromstring(PyObject *me, |
| 932 | PyObject *arg, PyObject *kw) |
| 933 | { |
| 934 | int r = 0; |
| 935 | char *p; |
| 936 | Py_ssize_t len; |
| 937 | PyObject *z = 0; |
| 938 | mp *zz; |
| 939 | mptext_stringctx sc; |
| 940 | char *kwlist[] = { "class", "x", "radix", 0 }; |
| 941 | |
| 942 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring", |
| 943 | kwlist, &me, &p, &len, &r)) |
| 944 | goto end; |
| 945 | if (!good_radix_p(r, 1)) VALERR("bad radix"); |
| 946 | sc.buf = p; sc.lim = p + len; |
| 947 | if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0) |
| 948 | VALERR("bad integer"); |
| 949 | z = Py_BuildValue("(Ns#)", mp_pywrap(zz), |
| 950 | sc.buf, (Py_ssize_t)(sc.lim - sc.buf)); |
| 951 | end: |
| 952 | return (z); |
| 953 | } |
| 954 | |
| 955 | static PyObject *meth__MP_factorial(PyObject *me, PyObject *arg) |
| 956 | { |
| 957 | unsigned long i; |
| 958 | mp *x; |
| 959 | if (!PyArg_ParseTuple(arg, "OO&:factorial", &me, convulong, &i)) |
| 960 | return (0); |
| 961 | x = mp_factorial(i); |
| 962 | return mp_pywrap(x); |
| 963 | } |
| 964 | |
| 965 | static PyObject *meth__MP_fibonacci(PyObject *me, PyObject *arg) |
| 966 | { |
| 967 | long i; |
| 968 | mp *x; |
| 969 | if (!PyArg_ParseTuple(arg, "Ol:fibonacci", &me, &i)) return (0); |
| 970 | x = mp_fibonacci(i); |
| 971 | return mp_pywrap(x); |
| 972 | } |
| 973 | |
| 974 | #define LOADOP(pre, py, name) \ |
| 975 | static PyObject *meth__##py##_##name(PyObject *me, PyObject *arg) \ |
| 976 | { \ |
| 977 | char *p; \ |
| 978 | Py_ssize_t len; \ |
| 979 | if (!PyArg_ParseTuple(arg, "Os#:" #name, &me, &p, &len)) return (0); \ |
| 980 | return (pre##_pywrap(mp_##name(MP_NEW, p, len))); \ |
| 981 | } |
| 982 | LOADOP(mp, MP, loadl) |
| 983 | LOADOP(mp, MP, loadb) |
| 984 | LOADOP(mp, MP, loadl2c) |
| 985 | LOADOP(mp, MP, loadb2c) |
| 986 | LOADOP(gf, GF, loadl) |
| 987 | LOADOP(gf, GF, loadb) |
| 988 | #undef LOADOP |
| 989 | |
| 990 | /*----- Products of small integers ----------------------------------------*/ |
| 991 | |
| 992 | typedef struct mpmul_pyobj { |
| 993 | PyObject_HEAD |
| 994 | int livep; |
| 995 | mpmul mm; |
| 996 | } mpmul_pyobj; |
| 997 | |
| 998 | #define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep) |
| 999 | #define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm) |
| 1000 | |
| 1001 | static void mpmul_pydealloc(PyObject *me) |
| 1002 | { |
| 1003 | if (MPMUL_LIVEP(me)) |
| 1004 | mp_drop(mpmul_done(MPMUL_PY(me))); |
| 1005 | FREEOBJ(me); |
| 1006 | } |
| 1007 | |
| 1008 | static PyObject *mmmeth_factor(PyObject *me, PyObject *arg) |
| 1009 | { |
| 1010 | PyObject *q, *i; |
| 1011 | mp *x; |
| 1012 | |
| 1013 | if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid"); |
| 1014 | if (PyTuple_Size(arg) != 1) |
| 1015 | i = PyObject_GetIter(arg); |
| 1016 | else { |
| 1017 | if ((q = PyTuple_GetItem(arg, 0)) == 0) goto end; |
| 1018 | if ((i = PyObject_GetIter(q)) == 0) { |
| 1019 | PyErr_Clear(); /* that's ok */ |
| 1020 | i = PyObject_GetIter(arg); |
| 1021 | } |
| 1022 | } |
| 1023 | if (!i) goto end; |
| 1024 | while ((q = PyIter_Next(i)) != 0) { |
| 1025 | x = getmp(q); Py_DECREF(q); if (!x) { |
| 1026 | Py_DECREF(i); |
| 1027 | goto end; |
| 1028 | } |
| 1029 | mpmul_add(MPMUL_PY(me), x); |
| 1030 | MP_DROP(x); |
| 1031 | } |
| 1032 | Py_DECREF(i); |
| 1033 | RETURN_ME; |
| 1034 | end: |
| 1035 | return (0); |
| 1036 | } |
| 1037 | |
| 1038 | static PyObject *mmmeth_done(PyObject *me, PyObject *arg) |
| 1039 | { |
| 1040 | mp *x; |
| 1041 | |
| 1042 | if (!PyArg_ParseTuple(arg, ":done")) goto end; |
| 1043 | if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid"); |
| 1044 | x = mpmul_done(MPMUL_PY(me)); |
| 1045 | MPMUL_LIVEP(me) = 0; |
| 1046 | return (mp_pywrap(x)); |
| 1047 | end: |
| 1048 | return (0); |
| 1049 | } |
| 1050 | |
| 1051 | static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) |
| 1052 | { |
| 1053 | mpmul_pyobj *mm; |
| 1054 | |
| 1055 | if (kw) TYERR("keyword arguments not allowed here"); |
| 1056 | mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0); |
| 1057 | mpmul_init(&mm->mm); |
| 1058 | mm->livep = 1; |
| 1059 | if (mmmeth_factor((PyObject *)mm, arg) == 0) { |
| 1060 | Py_DECREF(mm); |
| 1061 | goto end; |
| 1062 | } |
| 1063 | return ((PyObject *)mm); |
| 1064 | end: |
| 1065 | return (0); |
| 1066 | } |
| 1067 | |
| 1068 | static PyObject *mmget_livep(PyObject *me, void *hunoz) |
| 1069 | { return (getbool(MPMUL_LIVEP(me))); } |
| 1070 | |
| 1071 | static PyGetSetDef mpmul_pygetset[] = { |
| 1072 | #define GETSETNAME(op, name) mm##op##_##name |
| 1073 | GET (livep, "MM.livep -> flag: object still valid?") |
| 1074 | #undef GETSETNAME |
| 1075 | { 0 } |
| 1076 | }; |
| 1077 | |
| 1078 | static PyMethodDef mpmul_pymethods[] = { |
| 1079 | #define METHNAME(name) mmmeth_##name |
| 1080 | METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)") |
| 1081 | METH (done, "MM.done() -> PRODUCT") |
| 1082 | #undef METHNAME |
| 1083 | { 0 } |
| 1084 | }; |
| 1085 | |
| 1086 | static PyTypeObject *mpmul_pytype, mpmul_pytype_skel = { |
| 1087 | PyObject_HEAD_INIT(0) 0, /* Header */ |
| 1088 | "MPMul", /* @tp_name@ */ |
| 1089 | sizeof(mpmul_pyobj), /* @tp_basicsize@ */ |
| 1090 | 0, /* @tp_itemsize@ */ |
| 1091 | |
| 1092 | mpmul_pydealloc, /* @tp_dealloc@ */ |
| 1093 | 0, /* @tp_print@ */ |
| 1094 | 0, /* @tp_getattr@ */ |
| 1095 | 0, /* @tp_setattr@ */ |
| 1096 | 0, /* @tp_compare@ */ |
| 1097 | 0, /* @tp_repr@ */ |
| 1098 | 0, /* @tp_as_number@ */ |
| 1099 | 0, /* @tp_as_sequence@ */ |
| 1100 | 0, /* @tp_as_mapping@ */ |
| 1101 | 0, /* @tp_hash@ */ |
| 1102 | 0, /* @tp_call@ */ |
| 1103 | 0, /* @tp_str@ */ |
| 1104 | 0, /* @tp_getattro@ */ |
| 1105 | 0, /* @tp_setattro@ */ |
| 1106 | 0, /* @tp_as_buffer@ */ |
| 1107 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ |
| 1108 | Py_TPFLAGS_BASETYPE, |
| 1109 | |
| 1110 | /* @tp_doc@ */ |
| 1111 | "An object for multiplying many small integers.", |
| 1112 | |
| 1113 | 0, /* @tp_traverse@ */ |
| 1114 | 0, /* @tp_clear@ */ |
| 1115 | 0, /* @tp_richcompare@ */ |
| 1116 | 0, /* @tp_weaklistoffset@ */ |
| 1117 | 0, /* @tp_iter@ */ |
| 1118 | 0, /* @tp_iternext@ */ |
| 1119 | mpmul_pymethods, /* @tp_methods@ */ |
| 1120 | 0, /* @tp_members@ */ |
| 1121 | mpmul_pygetset, /* @tp_getset@ */ |
| 1122 | 0, /* @tp_base@ */ |
| 1123 | 0, /* @tp_dict@ */ |
| 1124 | 0, /* @tp_descr_get@ */ |
| 1125 | 0, /* @tp_descr_set@ */ |
| 1126 | 0, /* @tp_dictoffset@ */ |
| 1127 | 0, /* @tp_init@ */ |
| 1128 | PyType_GenericAlloc, /* @tp_alloc@ */ |
| 1129 | mpmul_pynew, /* @tp_new@ */ |
| 1130 | 0, /* @tp_free@ */ |
| 1131 | 0 /* @tp_is_gc@ */ |
| 1132 | }; |
| 1133 | |
| 1134 | /*----- Montgomery reduction ----------------------------------------------*/ |
| 1135 | |
| 1136 | typedef struct mpmont_pyobj { |
| 1137 | PyObject_HEAD |
| 1138 | mpmont mm; |
| 1139 | } mpmont_pyobj; |
| 1140 | |
| 1141 | #define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm) |
| 1142 | |
| 1143 | static PyObject *mmmeth_int(PyObject *me, PyObject *arg) |
| 1144 | { |
| 1145 | PyObject *z = 0; |
| 1146 | mp *yy = 0; |
| 1147 | mpmont *mm = MPMONT_PY(me); |
| 1148 | |
| 1149 | if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy)) |
| 1150 | goto end; |
| 1151 | mp_div(0, &yy, yy, mm->m); |
| 1152 | z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2)); |
| 1153 | end: |
| 1154 | if (yy) MP_DROP(yy); |
| 1155 | return (z); |
| 1156 | } |
| 1157 | |
| 1158 | static PyObject *mmmeth_mul(PyObject *me, PyObject *arg) |
| 1159 | { |
| 1160 | PyObject *rc = 0; |
| 1161 | mp *yy = 0, *zz = 0; |
| 1162 | |
| 1163 | if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz)) |
| 1164 | goto end; |
| 1165 | rc = mp_pywrap(mpmont_mul(MPMONT_PY(me), MP_NEW, yy, zz)); |
| 1166 | end: |
| 1167 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); |
| 1168 | return (rc); |
| 1169 | } |
| 1170 | |
| 1171 | static PyObject *mmmeth_exp(PyObject *me, PyObject *arg) |
| 1172 | { |
| 1173 | PyObject *rc = 0; |
| 1174 | mp *yy = 0, *zz = 0; |
| 1175 | |
| 1176 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) |
| 1177 | goto end; |
| 1178 | if (MP_NEGP(zz)) { |
| 1179 | if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end; |
| 1180 | zz = mp_neg(zz, zz); |
| 1181 | } |
| 1182 | rc = mp_pywrap(mpmont_exp(MPMONT_PY(me), MP_NEW, yy, zz)); |
| 1183 | end: |
| 1184 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); |
| 1185 | return (rc); |
| 1186 | } |
| 1187 | |
| 1188 | static PyObject *mmmeth_expr(PyObject *me, PyObject *arg) |
| 1189 | { |
| 1190 | PyObject *rc = 0; |
| 1191 | mp *yy = 0, *zz = 0; |
| 1192 | |
| 1193 | if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz)) |
| 1194 | goto end; |
| 1195 | if (MP_NEGP(zz)) { |
| 1196 | yy = mpmont_reduce(MPMONT_PY(me), yy, yy); |
| 1197 | if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end; |
| 1198 | yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2); |
| 1199 | zz = mp_neg(zz, zz); |
| 1200 | } |
| 1201 | rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz)); |
| 1202 | end: |
| 1203 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); |
| 1204 | return (rc); |
| 1205 | } |
| 1206 | |
| 1207 | static PyObject *mm_mexpr_id(PyObject *me) |
| 1208 | { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); } |
| 1209 | |
| 1210 | static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y) |
| 1211 | { |
| 1212 | mp *xx = 0, *yy = 0; |
| 1213 | mp_expfactor *f = p; |
| 1214 | mpmont *mm = MPMONT_PY(me); |
| 1215 | |
| 1216 | if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0) |
| 1217 | goto fail; |
| 1218 | if (MP_NEGP(yy)) { |
| 1219 | xx = mpmont_reduce(mm, xx, xx); |
| 1220 | if ((xx = mp_modinv_checked(xx, xx, yy)) == 0) |
| 1221 | goto fail; |
| 1222 | xx = mpmont_mul(mm, xx, xx, mm->r2); |
| 1223 | yy = mp_neg(yy, yy); |
| 1224 | } |
| 1225 | f->base = xx; |
| 1226 | f->exp = yy; |
| 1227 | return (0); |
| 1228 | |
| 1229 | fail: |
| 1230 | mp_drop(xx); mp_drop(yy); |
| 1231 | return (-1); |
| 1232 | } |
| 1233 | |
| 1234 | static PyObject *mm_mexpr(PyObject *me, void *v, int n) |
| 1235 | { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); } |
| 1236 | |
| 1237 | static void mp_mexp_drop(void *p) |
| 1238 | { |
| 1239 | mp_expfactor *f = p; |
| 1240 | mp_drop(f->base); |
| 1241 | mp_drop(f->exp); |
| 1242 | } |
| 1243 | |
| 1244 | static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg) |
| 1245 | { |
| 1246 | return mexp_common(me, arg, sizeof(mp_expfactor), |
| 1247 | mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop); |
| 1248 | } |
| 1249 | |
| 1250 | static PyObject *mp_mexp_id(PyObject *me) |
| 1251 | { return mp_pywrap(MP_ONE); } |
| 1252 | |
| 1253 | static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y) |
| 1254 | { |
| 1255 | mp *xx = 0, *yy = 0; |
| 1256 | mp_expfactor *f = p; |
| 1257 | |
| 1258 | if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0) |
| 1259 | goto fail; |
| 1260 | if (MP_NEGP(yy)) { |
| 1261 | if ((xx = mp_modinv_checked(xx, xx, yy)) == 0) |
| 1262 | goto fail; |
| 1263 | yy = mp_neg(yy, yy); |
| 1264 | } |
| 1265 | f->base = xx; |
| 1266 | f->exp = yy; |
| 1267 | return (0); |
| 1268 | |
| 1269 | fail: |
| 1270 | mp_drop(xx); mp_drop(yy); |
| 1271 | return (-1); |
| 1272 | } |
| 1273 | |
| 1274 | static PyObject *mm_mexp(PyObject *me, void *v, int n) |
| 1275 | { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); } |
| 1276 | |
| 1277 | static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg) |
| 1278 | { |
| 1279 | return mexp_common(me, arg, sizeof(mp_expfactor), |
| 1280 | mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop); |
| 1281 | } |
| 1282 | |
| 1283 | #define mmmeth_ext mmmeth_reduce |
| 1284 | static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg) |
| 1285 | { |
| 1286 | PyObject *z = 0; |
| 1287 | mp *yy = 0; |
| 1288 | |
| 1289 | if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end; |
| 1290 | z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy)); |
| 1291 | end: |
| 1292 | return (z); |
| 1293 | } |
| 1294 | |
| 1295 | static void mpmont_pydealloc(PyObject *me) |
| 1296 | { |
| 1297 | mpmont_destroy(MPMONT_PY(me)); |
| 1298 | FREEOBJ(me); |
| 1299 | } |
| 1300 | |
| 1301 | static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) |
| 1302 | { |
| 1303 | mpmont_pyobj *mm = 0; |
| 1304 | char *kwlist[] = { "m", 0 }; |
| 1305 | mp *xx = 0; |
| 1306 | |
| 1307 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx)) |
| 1308 | goto end; |
| 1309 | if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd"); |
| 1310 | mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0); |
| 1311 | mpmont_create(&mm->mm, xx); |
| 1312 | end: |
| 1313 | if (xx) MP_DROP(xx); |
| 1314 | return ((PyObject *)mm); |
| 1315 | } |
| 1316 | |
| 1317 | static PyObject *mmget_m(PyObject *me, void *hunoz) |
| 1318 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); } |
| 1319 | |
| 1320 | static PyObject *mmget_r(PyObject *me, void *hunoz) |
| 1321 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); } |
| 1322 | |
| 1323 | static PyObject *mmget_r2(PyObject *me, void *hunoz) |
| 1324 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); } |
| 1325 | |
| 1326 | static PyGetSetDef mpmont_pygetset[] = { |
| 1327 | #define GETSETNAME(op, name) mm##op##_##name |
| 1328 | GET (m, "M.m -> modulus for reduction") |
| 1329 | GET (r, "M.r -> multiplicative identity") |
| 1330 | GET (r2, "M.r2 -> M.r^2, Montgomerization factor") |
| 1331 | #undef GETSETNAME |
| 1332 | { 0 } |
| 1333 | }; |
| 1334 | |
| 1335 | static PyMethodDef mpmont_pymethods[] = { |
| 1336 | #define METHNAME(name) mmmeth_##name |
| 1337 | METH (int, "M.int(X) -> XR") |
| 1338 | METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y") |
| 1339 | METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m") |
| 1340 | METH (mexpr, "\ |
| 1341 | M.mexpr([(XR0, N0), (XR1, N1), ...]) = ZR where Z = X0^N0 X1^N1 ... mod M.m\n\ |
| 1342 | \t(the list may be flattened if this more convenient.)") |
| 1343 | METH (reduce, "M.reduce(XR) -> X") |
| 1344 | METH (ext, "M.ext(XR) -> X") |
| 1345 | METH (exp, "M.exp(X, N) -> X^N mod M.m") |
| 1346 | METH (mexp, "\ |
| 1347 | M.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 ... mod M.m\n\ |
| 1348 | \t(the list may be flattened if this more convenient.)") |
| 1349 | #undef METHNAME |
| 1350 | { 0 } |
| 1351 | }; |
| 1352 | |
| 1353 | static PyTypeObject *mpmont_pytype, mpmont_pytype_skel = { |
| 1354 | PyObject_HEAD_INIT(0) 0, /* Header */ |
| 1355 | "MPMont", /* @tp_name@ */ |
| 1356 | sizeof(mpmont_pyobj), /* @tp_basicsize@ */ |
| 1357 | 0, /* @tp_itemsize@ */ |
| 1358 | |
| 1359 | mpmont_pydealloc, /* @tp_dealloc@ */ |
| 1360 | 0, /* @tp_print@ */ |
| 1361 | 0, /* @tp_getattr@ */ |
| 1362 | 0, /* @tp_setattr@ */ |
| 1363 | 0, /* @tp_compare@ */ |
| 1364 | 0, /* @tp_repr@ */ |
| 1365 | 0, /* @tp_as_number@ */ |
| 1366 | 0, /* @tp_as_sequence@ */ |
| 1367 | 0, /* @tp_as_mapping@ */ |
| 1368 | 0, /* @tp_hash@ */ |
| 1369 | 0, /* @tp_call@ */ |
| 1370 | 0, /* @tp_str@ */ |
| 1371 | 0, /* @tp_getattro@ */ |
| 1372 | 0, /* @tp_setattro@ */ |
| 1373 | 0, /* @tp_as_buffer@ */ |
| 1374 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ |
| 1375 | Py_TPFLAGS_BASETYPE, |
| 1376 | |
| 1377 | /* @tp_doc@ */ |
| 1378 | "A Montgomery reduction context.", |
| 1379 | |
| 1380 | 0, /* @tp_traverse@ */ |
| 1381 | 0, /* @tp_clear@ */ |
| 1382 | 0, /* @tp_richcompare@ */ |
| 1383 | 0, /* @tp_weaklistoffset@ */ |
| 1384 | 0, /* @tp_iter@ */ |
| 1385 | 0, /* @tp_iternext@ */ |
| 1386 | mpmont_pymethods, /* @tp_methods@ */ |
| 1387 | 0, /* @tp_members@ */ |
| 1388 | mpmont_pygetset, /* @tp_getset@ */ |
| 1389 | 0, /* @tp_base@ */ |
| 1390 | 0, /* @tp_dict@ */ |
| 1391 | 0, /* @tp_descr_get@ */ |
| 1392 | 0, /* @tp_descr_set@ */ |
| 1393 | 0, /* @tp_dictoffset@ */ |
| 1394 | 0, /* @tp_init@ */ |
| 1395 | PyType_GenericAlloc, /* @tp_alloc@ */ |
| 1396 | mpmont_pynew, /* @tp_new@ */ |
| 1397 | 0, /* @tp_free@ */ |
| 1398 | 0 /* @tp_is_gc@ */ |
| 1399 | }; |
| 1400 | |
| 1401 | /*----- Barrett reduction -------------------------------------------------*/ |
| 1402 | |
| 1403 | typedef struct mpbarrett_pyobj { |
| 1404 | PyObject_HEAD |
| 1405 | mpbarrett mb; |
| 1406 | } mpbarrett_pyobj; |
| 1407 | |
| 1408 | #define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb) |
| 1409 | |
| 1410 | static PyObject *mbmeth_exp(PyObject *me, PyObject *arg) |
| 1411 | { |
| 1412 | PyObject *rc = 0; |
| 1413 | mp *yy = 0, *zz = 0; |
| 1414 | |
| 1415 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) |
| 1416 | goto end; |
| 1417 | if (MP_NEGP(zz)) { |
| 1418 | if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end; |
| 1419 | zz = mp_neg(zz, zz); |
| 1420 | } |
| 1421 | rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz)); |
| 1422 | end: |
| 1423 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); |
| 1424 | return (rc); |
| 1425 | } |
| 1426 | |
| 1427 | static PyObject *mb_mexp(PyObject *me, void *v, int n) |
| 1428 | { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); } |
| 1429 | |
| 1430 | static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg) |
| 1431 | { |
| 1432 | return mexp_common(me, arg, sizeof(mp_expfactor), |
| 1433 | mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop); |
| 1434 | } |
| 1435 | |
| 1436 | static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg) |
| 1437 | { |
| 1438 | PyObject *z = 0; |
| 1439 | mp *yy = 0; |
| 1440 | |
| 1441 | if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) |
| 1442 | goto end; |
| 1443 | z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy)); |
| 1444 | end: |
| 1445 | return (z); |
| 1446 | } |
| 1447 | |
| 1448 | static void mpbarrett_pydealloc(PyObject *me) |
| 1449 | { |
| 1450 | mpbarrett_destroy(MPBARRETT_PY(me)); |
| 1451 | FREEOBJ(me); |
| 1452 | } |
| 1453 | |
| 1454 | static PyObject *mpbarrett_pynew(PyTypeObject *ty, |
| 1455 | PyObject *arg, PyObject *kw) |
| 1456 | { |
| 1457 | mpbarrett_pyobj *mb = 0; |
| 1458 | char *kwlist[] = { "m", 0 }; |
| 1459 | mp *xx = 0; |
| 1460 | |
| 1461 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx)) |
| 1462 | goto end; |
| 1463 | if (!MP_POSP(xx)) VALERR("m must be positive"); |
| 1464 | mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0); |
| 1465 | mpbarrett_create(&mb->mb, xx); |
| 1466 | end: |
| 1467 | if (xx) MP_DROP(xx); |
| 1468 | return ((PyObject *)mb); |
| 1469 | } |
| 1470 | |
| 1471 | static PyObject *mbget_m(PyObject *me, void *hunoz) |
| 1472 | { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); } |
| 1473 | |
| 1474 | static PyGetSetDef mpbarrett_pygetset[] = { |
| 1475 | #define GETSETNAME(op, name) mb##op##_##name |
| 1476 | GET (m, "B.m -> modulus for reduction") |
| 1477 | #undef GETSETNAME |
| 1478 | { 0 } |
| 1479 | }; |
| 1480 | |
| 1481 | static PyMethodDef mpbarrett_pymethods[] = { |
| 1482 | #define METHNAME(name) mbmeth_##name |
| 1483 | METH (reduce, "B.reduce(X) -> X mod B.m") |
| 1484 | METH (exp, "B.exp(X, N) -> X^N mod B.m") |
| 1485 | METH (mexp, "\ |
| 1486 | B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 ... mod B.m\n\ |
| 1487 | \t(the list may be flattened if this more convenient.)") |
| 1488 | #undef METHNAME |
| 1489 | { 0 } |
| 1490 | }; |
| 1491 | |
| 1492 | static PyTypeObject *mpbarrett_pytype, mpbarrett_pytype_skel = { |
| 1493 | PyObject_HEAD_INIT(0) 0, /* Header */ |
| 1494 | "MPBarrett", /* @tp_name@ */ |
| 1495 | sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */ |
| 1496 | 0, /* @tp_itemsize@ */ |
| 1497 | |
| 1498 | mpbarrett_pydealloc, /* @tp_dealloc@ */ |
| 1499 | 0, /* @tp_print@ */ |
| 1500 | 0, /* @tp_getattr@ */ |
| 1501 | 0, /* @tp_setattr@ */ |
| 1502 | 0, /* @tp_compare@ */ |
| 1503 | 0, /* @tp_repr@ */ |
| 1504 | 0, /* @tp_as_number@ */ |
| 1505 | 0, /* @tp_as_sequence@ */ |
| 1506 | 0, /* @tp_as_mapping@ */ |
| 1507 | 0, /* @tp_hash@ */ |
| 1508 | 0, /* @tp_call@ */ |
| 1509 | 0, /* @tp_str@ */ |
| 1510 | 0, /* @tp_getattro@ */ |
| 1511 | 0, /* @tp_setattro@ */ |
| 1512 | 0, /* @tp_as_buffer@ */ |
| 1513 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ |
| 1514 | Py_TPFLAGS_BASETYPE, |
| 1515 | |
| 1516 | /* @tp_doc@ */ |
| 1517 | "A Barrett reduction context.", |
| 1518 | |
| 1519 | 0, /* @tp_traverse@ */ |
| 1520 | 0, /* @tp_clear@ */ |
| 1521 | 0, /* @tp_richcompare@ */ |
| 1522 | 0, /* @tp_weaklistoffset@ */ |
| 1523 | 0, /* @tp_iter@ */ |
| 1524 | 0, /* @tp_iternext@ */ |
| 1525 | mpbarrett_pymethods, /* @tp_methods@ */ |
| 1526 | 0, /* @tp_members@ */ |
| 1527 | mpbarrett_pygetset, /* @tp_getset@ */ |
| 1528 | 0, /* @tp_base@ */ |
| 1529 | 0, /* @tp_dict@ */ |
| 1530 | 0, /* @tp_descr_get@ */ |
| 1531 | 0, /* @tp_descr_set@ */ |
| 1532 | 0, /* @tp_dictoffset@ */ |
| 1533 | 0, /* @tp_init@ */ |
| 1534 | PyType_GenericAlloc, /* @tp_alloc@ */ |
| 1535 | mpbarrett_pynew, /* @tp_new@ */ |
| 1536 | 0, /* @tp_free@ */ |
| 1537 | 0 /* @tp_is_gc@ */ |
| 1538 | }; |
| 1539 | |
| 1540 | /*----- Nice prime reduction ----------------------------------------------*/ |
| 1541 | |
| 1542 | typedef struct mpreduce_pyobj { |
| 1543 | PyObject_HEAD |
| 1544 | mpreduce mr; |
| 1545 | } mpreduce_pyobj; |
| 1546 | |
| 1547 | #define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr) |
| 1548 | |
| 1549 | static PyObject *mrmeth_exp(PyObject *me, PyObject *arg) |
| 1550 | { |
| 1551 | PyObject *rc = 0; |
| 1552 | mp *yy = 0, *zz = 0; |
| 1553 | |
| 1554 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) |
| 1555 | goto end; |
| 1556 | if (MP_NEGP(zz)) { |
| 1557 | if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end; |
| 1558 | zz = mp_neg(zz, zz); |
| 1559 | } |
| 1560 | rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz)); |
| 1561 | end: |
| 1562 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); |
| 1563 | return (rc); |
| 1564 | } |
| 1565 | |
| 1566 | static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg) |
| 1567 | { |
| 1568 | PyObject *z = 0; |
| 1569 | mp *yy = 0; |
| 1570 | |
| 1571 | if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end; |
| 1572 | z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy)); |
| 1573 | end: |
| 1574 | return (z); |
| 1575 | } |
| 1576 | |
| 1577 | static void mpreduce_pydealloc(PyObject *me) |
| 1578 | { |
| 1579 | mpreduce_destroy(MPREDUCE_PY(me)); |
| 1580 | FREEOBJ(me); |
| 1581 | } |
| 1582 | |
| 1583 | static PyObject *mpreduce_pynew(PyTypeObject *ty, |
| 1584 | PyObject *arg, PyObject *kw) |
| 1585 | { |
| 1586 | mpreduce_pyobj *mr = 0; |
| 1587 | mpreduce r; |
| 1588 | char *kwlist[] = { "m", 0 }; |
| 1589 | mp *xx = 0; |
| 1590 | |
| 1591 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx)) |
| 1592 | goto end; |
| 1593 | if (!MP_POSP(xx)) VALERR("m must be positive"); |
| 1594 | if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)"); |
| 1595 | mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0); |
| 1596 | mr->mr = r; |
| 1597 | end: |
| 1598 | if (xx) MP_DROP(xx); |
| 1599 | return ((PyObject *)mr); |
| 1600 | } |
| 1601 | |
| 1602 | static PyObject *mrget_m(PyObject *me, void *hunoz) |
| 1603 | { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); } |
| 1604 | |
| 1605 | static PyGetSetDef mpreduce_pygetset[] = { |
| 1606 | #define GETSETNAME(op, name) mr##op##_##name |
| 1607 | GET (m, "R.m -> modulus for reduction") |
| 1608 | #undef GETSETNAME |
| 1609 | { 0 } |
| 1610 | }; |
| 1611 | |
| 1612 | static PyMethodDef mpreduce_pymethods[] = { |
| 1613 | #define METHNAME(name) mrmeth_##name |
| 1614 | METH (reduce, "R.reduce(X) -> X mod B.m") |
| 1615 | METH (exp, "R.exp(X, N) -> X^N mod B.m") |
| 1616 | #undef METHNAME |
| 1617 | { 0 } |
| 1618 | }; |
| 1619 | |
| 1620 | static PyTypeObject *mpreduce_pytype, mpreduce_pytype_skel = { |
| 1621 | PyObject_HEAD_INIT(0) 0, /* Header */ |
| 1622 | "MPReduce", /* @tp_name@ */ |
| 1623 | sizeof(mpreduce_pyobj), /* @tp_basicsize@ */ |
| 1624 | 0, /* @tp_itemsize@ */ |
| 1625 | |
| 1626 | mpreduce_pydealloc, /* @tp_dealloc@ */ |
| 1627 | 0, /* @tp_print@ */ |
| 1628 | 0, /* @tp_getattr@ */ |
| 1629 | 0, /* @tp_setattr@ */ |
| 1630 | 0, /* @tp_compare@ */ |
| 1631 | 0, /* @tp_repr@ */ |
| 1632 | 0, /* @tp_as_number@ */ |
| 1633 | 0, /* @tp_as_sequence@ */ |
| 1634 | 0, /* @tp_as_mapping@ */ |
| 1635 | 0, /* @tp_hash@ */ |
| 1636 | 0, /* @tp_call@ */ |
| 1637 | 0, /* @tp_str@ */ |
| 1638 | 0, /* @tp_getattro@ */ |
| 1639 | 0, /* @tp_setattro@ */ |
| 1640 | 0, /* @tp_as_buffer@ */ |
| 1641 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ |
| 1642 | Py_TPFLAGS_BASETYPE, |
| 1643 | |
| 1644 | /* @tp_doc@ */ |
| 1645 | "A reduction context for reduction modulo primes of special form.", |
| 1646 | |
| 1647 | 0, /* @tp_traverse@ */ |
| 1648 | 0, /* @tp_clear@ */ |
| 1649 | 0, /* @tp_richcompare@ */ |
| 1650 | 0, /* @tp_weaklistoffset@ */ |
| 1651 | 0, /* @tp_iter@ */ |
| 1652 | 0, /* @tp_iternext@ */ |
| 1653 | mpreduce_pymethods, /* @tp_methods@ */ |
| 1654 | 0, /* @tp_members@ */ |
| 1655 | mpreduce_pygetset, /* @tp_getset@ */ |
| 1656 | 0, /* @tp_base@ */ |
| 1657 | 0, /* @tp_dict@ */ |
| 1658 | 0, /* @tp_descr_get@ */ |
| 1659 | 0, /* @tp_descr_set@ */ |
| 1660 | 0, /* @tp_dictoffset@ */ |
| 1661 | 0, /* @tp_init@ */ |
| 1662 | PyType_GenericAlloc, /* @tp_alloc@ */ |
| 1663 | mpreduce_pynew, /* @tp_new@ */ |
| 1664 | 0, /* @tp_free@ */ |
| 1665 | 0 /* @tp_is_gc@ */ |
| 1666 | }; |
| 1667 | |
| 1668 | /*----- Chinese Remainder Theorem solution --------------------------------*/ |
| 1669 | |
| 1670 | typedef struct mpcrt_pyobj { |
| 1671 | PyObject_HEAD |
| 1672 | mpcrt c; |
| 1673 | } mpcrt_pyobj; |
| 1674 | |
| 1675 | #define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c) |
| 1676 | |
| 1677 | static PyObject *mcmeth_solve(PyObject *me, PyObject *arg) |
| 1678 | { |
| 1679 | mpcrt *c = MPCRT_PY(me); |
| 1680 | PyObject *q = 0, *x, *z = 0; |
| 1681 | mp *xx; |
| 1682 | mp **v = 0; |
| 1683 | Py_ssize_t i = 0, n = c->k; |
| 1684 | |
| 1685 | Py_INCREF(me); |
| 1686 | if (PyTuple_Size(arg) == n) |
| 1687 | q = arg; |
| 1688 | else if (!PyArg_ParseTuple(arg, "O:solve", &q)) |
| 1689 | goto end; |
| 1690 | Py_INCREF(q); |
| 1691 | if (!PySequence_Check(q)) TYERR("want a sequence of residues"); |
| 1692 | i = PySequence_Size(q); if (i < 0) goto end; |
| 1693 | if (i != n) VALERR("residue count mismatch"); |
| 1694 | v = xmalloc(n * sizeof(*v)); |
| 1695 | for (i = 0; i < n; i++) { |
| 1696 | if ((x = PySequence_GetItem(q, i)) == 0) goto end; |
| 1697 | xx = getmp(x); Py_DECREF(x); if (!xx) goto end; |
| 1698 | v[i] = xx; |
| 1699 | } |
| 1700 | z = mp_pywrap(mpcrt_solve(c, MP_NEW, v)); |
| 1701 | end: |
| 1702 | if (v) { |
| 1703 | n = i; |
| 1704 | for (i = 0; i < n; i++) |
| 1705 | MP_DROP(v[i]); |
| 1706 | xfree(v); |
| 1707 | } |
| 1708 | Py_DECREF(me); |
| 1709 | Py_XDECREF(q); |
| 1710 | return (z); |
| 1711 | } |
| 1712 | |
| 1713 | static void mpcrt_pydealloc(PyObject *me) |
| 1714 | { |
| 1715 | mpcrt *c = MPCRT_PY(me); |
| 1716 | mpcrt_destroy(c); |
| 1717 | xfree(c->v); |
| 1718 | } |
| 1719 | |
| 1720 | static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) |
| 1721 | { |
| 1722 | mpcrt_mod *v = 0; |
| 1723 | Py_ssize_t n, i = 0, j; |
| 1724 | char *kwlist[] = { "mv", 0 }; |
| 1725 | PyObject *q = 0, *x; |
| 1726 | mp *xx = MP_NEW, *y = MP_NEW, *g = MP_NEW; |
| 1727 | mpmul mm; |
| 1728 | mpcrt_pyobj *c = 0; |
| 1729 | |
| 1730 | if (PyTuple_Size(arg) > 1) |
| 1731 | q = arg; |
| 1732 | else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", kwlist, &q)) |
| 1733 | goto end; |
| 1734 | Py_INCREF(q); |
| 1735 | if (!PySequence_Check(q)) TYERR("want a sequence of moduli"); |
| 1736 | n = PySequence_Size(q); if (n < 0) goto end; |
| 1737 | if (!n) VALERR("want at least one modulus"); |
| 1738 | v = xmalloc(n * sizeof(*v)); |
| 1739 | for (i = 0; i < n; i++) { |
| 1740 | if ((x = PySequence_GetItem(q, i)) == 0) goto end; |
| 1741 | xx = getmp(x); Py_DECREF(x); if (!xx) goto end; |
| 1742 | if (MP_CMP(xx, <=, MP_ZERO)) VALERR("moduli must be positive"); |
| 1743 | v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0; xx = MP_NEW; |
| 1744 | } |
| 1745 | mpmul_init(&mm); |
| 1746 | for (j = 0; j < i; j++) mpmul_add(&mm, v[j].m); |
| 1747 | xx = mpmul_done(&mm); |
| 1748 | for (j = 0; j < i; j++) { |
| 1749 | mp_div(&y, 0, xx, v[j].m); |
| 1750 | mp_gcd(&g, 0, 0, y, v[j].m); |
| 1751 | if (!MP_EQ(g, MP_ONE)) VALERR("moduli must be pairwise coprime"); |
| 1752 | } |
| 1753 | |
| 1754 | c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0); |
| 1755 | mpcrt_create(&c->c, v, n, 0); |
| 1756 | Py_DECREF(q); |
| 1757 | mp_drop(xx); mp_drop(y); mp_drop(g); |
| 1758 | return ((PyObject *)c); |
| 1759 | |
| 1760 | end: |
| 1761 | if (v) { |
| 1762 | n = i; |
| 1763 | for (i = 0; i < n; i++) |
| 1764 | MP_DROP(v[i].m); |
| 1765 | xfree(v); |
| 1766 | } |
| 1767 | Py_XDECREF(q); |
| 1768 | mp_drop(xx); mp_drop(y); mp_drop(g); |
| 1769 | return (0); |
| 1770 | } |
| 1771 | |
| 1772 | static PyObject *mcget_product(PyObject *me, void *hunoz) |
| 1773 | { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); } |
| 1774 | |
| 1775 | static PyObject *mcget_moduli(PyObject *me, void *hunoz) |
| 1776 | { |
| 1777 | int i; |
| 1778 | PyObject *q; |
| 1779 | mpcrt *c = MPCRT_PY(me); |
| 1780 | |
| 1781 | if ((q = PyList_New(c->k)) == 0) return (0); |
| 1782 | for (i = 0; i < c->k; i++) |
| 1783 | PyList_SetItem(q, i, mp_pywrap(c->v[i].m)); |
| 1784 | return (q); |
| 1785 | } |
| 1786 | |
| 1787 | static PyGetSetDef mpcrt_pygetset[] = { |
| 1788 | #define GETSETNAME(op, name) mc##op##_##name |
| 1789 | GET (product, "C.product -> product of moduli") |
| 1790 | GET (moduli, "C.moduli -> list of individual moduli") |
| 1791 | #undef GETSETNAME |
| 1792 | { 0 } |
| 1793 | }; |
| 1794 | |
| 1795 | static PyMethodDef mpcrt_pymethods[] = { |
| 1796 | #define METHNAME(name) mcmeth_##name |
| 1797 | METH (solve, "C.solve([R0, R1]) -> X mod C.product") |
| 1798 | #undef METHNAME |
| 1799 | { 0 } |
| 1800 | }; |
| 1801 | |
| 1802 | static PyTypeObject *mpcrt_pytype, mpcrt_pytype_skel = { |
| 1803 | PyObject_HEAD_INIT(0) 0, /* Header */ |
| 1804 | "MPCRT", /* @tp_name@ */ |
| 1805 | sizeof(mpcrt_pyobj), /* @tp_basicsize@ */ |
| 1806 | 0, /* @tp_itemsize@ */ |
| 1807 | |
| 1808 | mpcrt_pydealloc, /* @tp_dealloc@ */ |
| 1809 | 0, /* @tp_print@ */ |
| 1810 | 0, /* @tp_getattr@ */ |
| 1811 | 0, /* @tp_setattr@ */ |
| 1812 | 0, /* @tp_compare@ */ |
| 1813 | 0, /* @tp_repr@ */ |
| 1814 | 0, /* @tp_as_number@ */ |
| 1815 | 0, /* @tp_as_sequence@ */ |
| 1816 | 0, /* @tp_as_mapping@ */ |
| 1817 | 0, /* @tp_hash@ */ |
| 1818 | 0, /* @tp_call@ */ |
| 1819 | 0, /* @tp_str@ */ |
| 1820 | 0, /* @tp_getattro@ */ |
| 1821 | 0, /* @tp_setattro@ */ |
| 1822 | 0, /* @tp_as_buffer@ */ |
| 1823 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ |
| 1824 | Py_TPFLAGS_BASETYPE, |
| 1825 | |
| 1826 | /* @tp_doc@ */ |
| 1827 | "A context for the solution of Chinese Remainder Theorem problems.", |
| 1828 | |
| 1829 | 0, /* @tp_traverse@ */ |
| 1830 | 0, /* @tp_clear@ */ |
| 1831 | 0, /* @tp_richcompare@ */ |
| 1832 | 0, /* @tp_weaklistoffset@ */ |
| 1833 | 0, /* @tp_iter@ */ |
| 1834 | 0, /* @tp_iternext@ */ |
| 1835 | mpcrt_pymethods, /* @tp_methods@ */ |
| 1836 | 0, /* @tp_members@ */ |
| 1837 | mpcrt_pygetset, /* @tp_getset@ */ |
| 1838 | 0, /* @tp_base@ */ |
| 1839 | 0, /* @tp_dict@ */ |
| 1840 | 0, /* @tp_descr_get@ */ |
| 1841 | 0, /* @tp_descr_set@ */ |
| 1842 | 0, /* @tp_dictoffset@ */ |
| 1843 | 0, /* @tp_init@ */ |
| 1844 | PyType_GenericAlloc, /* @tp_alloc@ */ |
| 1845 | mpcrt_pynew, /* @tp_new@ */ |
| 1846 | 0, /* @tp_free@ */ |
| 1847 | 0 /* @tp_is_gc@ */ |
| 1848 | }; |
| 1849 | |
| 1850 | /*----- Binary polynomials ------------------------------------------------*/ |
| 1851 | |
| 1852 | static PyObject *gf_pyrepr(PyObject *o) |
| 1853 | { return mp_topystring(MP_X(o), 16, "GF(", "0x", "L)"); } |
| 1854 | |
| 1855 | static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op) |
| 1856 | { |
| 1857 | mp *xx, *yy; |
| 1858 | int xl, yl; |
| 1859 | int b; |
| 1860 | |
| 1861 | if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; |
| 1862 | switch (op) { |
| 1863 | case Py_EQ: b = MP_EQ(xx, yy); break; |
| 1864 | case Py_NE: b = !MP_EQ(xx, yy); break; |
| 1865 | default: |
| 1866 | xl = mp_bits(xx); |
| 1867 | yl = mp_bits(yy); |
| 1868 | switch (op) { |
| 1869 | case Py_LT: b = xl < yl; break; |
| 1870 | case Py_LE: b = xl <= yl; break; |
| 1871 | case Py_GT: b = xl > yl; break; |
| 1872 | case Py_GE: b = xl >= yl; break; |
| 1873 | default: abort(); |
| 1874 | } |
| 1875 | break; |
| 1876 | } |
| 1877 | MP_DROP(xx); MP_DROP(yy); |
| 1878 | return (getbool(b)); |
| 1879 | } |
| 1880 | |
| 1881 | static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) |
| 1882 | { |
| 1883 | PyObject *x; |
| 1884 | mp *z; |
| 1885 | mp_pyobj *zz = 0; |
| 1886 | int radix = 0; |
| 1887 | char *kwlist[] = { "x", "radix", 0 }; |
| 1888 | |
| 1889 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", kwlist, &x, &radix)) |
| 1890 | goto end; |
| 1891 | if (GF_PYCHECK(x)) RETURN_OBJ(x); |
| 1892 | if (!good_radix_p(radix, 1)) VALERR("radix out of range"); |
| 1893 | if ((z = mp_frompyobject(x, radix)) == 0) { |
| 1894 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf", |
| 1895 | x->ob_type->tp_name); |
| 1896 | goto end; |
| 1897 | } |
| 1898 | if (MP_NEGP(z)) { |
| 1899 | MP_DROP(z); |
| 1900 | VALERR("gf cannot be negative"); |
| 1901 | } |
| 1902 | zz = (mp_pyobj *)ty->tp_alloc(ty, 0); |
| 1903 | zz->x = z; |
| 1904 | end: |
| 1905 | return ((PyObject *)zz); |
| 1906 | } |
| 1907 | |
| 1908 | static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z) |
| 1909 | { |
| 1910 | mp *xx = 0, *yy = 0, *zz = 0; |
| 1911 | mp *r = 0; |
| 1912 | PyObject *rc = 0; |
| 1913 | |
| 1914 | if ((xx = tomp(x)) == 0 || (yy = tomp(y)) == 0 || |
| 1915 | (z && z != Py_None && (zz = tomp(z)) == 0)) { |
| 1916 | mp_drop(xx); mp_drop(yy); mp_drop(zz); |
| 1917 | RETURN_NOTIMPL; |
| 1918 | } |
| 1919 | if (!z || z == Py_None) { |
| 1920 | if (MP_NEGP(yy)) VALERR("negative exponent"); |
| 1921 | r = gf_exp(MP_NEW, xx, yy); |
| 1922 | } else { |
| 1923 | gfreduce gr; |
| 1924 | if (MP_ZEROP(zz)) ZDIVERR("zero modulus"); |
| 1925 | if (MP_NEGP(yy)) { |
| 1926 | if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end; |
| 1927 | yy = mp_neg(yy, yy); |
| 1928 | } |
| 1929 | gfreduce_create(&gr, zz); |
| 1930 | r = gfreduce_exp(&gr, MP_NEW, xx, yy); |
| 1931 | gfreduce_destroy(&gr); |
| 1932 | } |
| 1933 | rc = gf_pywrap(r); |
| 1934 | end: |
| 1935 | mp_drop(xx); mp_drop(yy); mp_drop(zz); |
| 1936 | return (rc); |
| 1937 | } |
| 1938 | |
| 1939 | static PyObject *gfmeth_sqr(PyObject *me, PyObject *arg) |
| 1940 | { |
| 1941 | if (!PyArg_ParseTuple(arg, ":sqr")) return (0); |
| 1942 | return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me)))); |
| 1943 | } |
| 1944 | |
| 1945 | static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg) |
| 1946 | { |
| 1947 | PyObject *z = 0; |
| 1948 | mp *yy = 0, *zz = MP_NEW; |
| 1949 | |
| 1950 | if (!PyArg_ParseTuple(arg, "O&:gcd", convgf, &yy)) goto end; |
| 1951 | gf_gcd(&zz, 0, 0, MP_X(me), yy); |
| 1952 | z = gf_pywrap(zz); |
| 1953 | end: |
| 1954 | if (yy) MP_DROP(yy); |
| 1955 | return (z); |
| 1956 | } |
| 1957 | |
| 1958 | static PyObject *gfmeth_gcdx(PyObject *me, PyObject *arg) |
| 1959 | { |
| 1960 | PyObject *z = 0; |
| 1961 | mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW; |
| 1962 | |
| 1963 | if (!PyArg_ParseTuple(arg, "O&:gcdx", convgf, &yy)) |
| 1964 | goto end; |
| 1965 | gf_gcd(&zz, &uu, &vv, MP_X(me), yy); |
| 1966 | z = Py_BuildValue("(NNN)", |
| 1967 | gf_pywrap(zz), gf_pywrap(uu), gf_pywrap(vv)); |
| 1968 | end: |
| 1969 | if (yy) MP_DROP(yy); |
| 1970 | return (z); |
| 1971 | } |
| 1972 | |
| 1973 | static PyObject *gfmeth_modinv(PyObject *me, PyObject *arg) |
| 1974 | { |
| 1975 | PyObject *z = 0; |
| 1976 | mp *yy = 0, *zz = MP_NEW; |
| 1977 | |
| 1978 | if (!PyArg_ParseTuple(arg, "O&:modinv", convgf, &yy) || |
| 1979 | (zz = gf_modinv_checked(MP_NEW, yy, MP_X(me))) == 0) |
| 1980 | goto end; |
| 1981 | z = gf_pywrap(zz); |
| 1982 | end: |
| 1983 | if (yy) MP_DROP(yy); |
| 1984 | return (z); |
| 1985 | } |
| 1986 | |
| 1987 | static PyObject *gfmeth_irreduciblep(PyObject *me, PyObject *arg) |
| 1988 | { |
| 1989 | if (!PyArg_ParseTuple(arg, ":irreduciblep")) return (0); |
| 1990 | return getbool(gf_irreduciblep(MP_X(me))); |
| 1991 | } |
| 1992 | |
| 1993 | static PyObject *gfget_degree(PyObject *me, void *hunoz) |
| 1994 | { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); } |
| 1995 | |
| 1996 | static PyGetSetDef gf_pygetset[] = { |
| 1997 | #define GETSETNAME(op, name) gf##op##_##name |
| 1998 | GET (degree, "X.degree -> polynomial degree of X") |
| 1999 | #undef GETSETNAME |
| 2000 | #define GETSETNAME(op, name) mp##op##_##name |
| 2001 | GET (nbits, "X.nbits -> bit length of X") |
| 2002 | GET (noctets, "X.noctets -> octet length of X") |
| 2003 | #undef GETSETNAME |
| 2004 | { 0 } |
| 2005 | }; |
| 2006 | |
| 2007 | static PyMethodDef gf_pymethods[] = { |
| 2008 | #define METHNAME(func) gfmeth_##func |
| 2009 | METH (setbit, "X.setbit(N) -> X with bit N set") |
| 2010 | METH (clearbit, "X.clearbit(N) -> X with bit N clear") |
| 2011 | METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X") |
| 2012 | METH (sqr, "X.sqr() -> X^2") |
| 2013 | METH (gcd, "X.gcd(Y) -> gcd(X, Y)") |
| 2014 | METH (gcdx, |
| 2015 | "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)") |
| 2016 | METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X") |
| 2017 | METH (irreduciblep, "X.irreduciblep() -> true/false") |
| 2018 | #undef METHNAME |
| 2019 | #define METHNAME(func) mpmeth_##func |
| 2020 | KWMETH(tostring, "X.tostring([radix = 10]) -> STR") |
| 2021 | KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes") |
| 2022 | KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes") |
| 2023 | KWMETH(storel2c, |
| 2024 | "X.storel2c([len = -1]) -> little-endian bytes, two's complement") |
| 2025 | KWMETH(storeb2c, |
| 2026 | "X.storeb2c([len = -1]) -> big-endian bytes, two's complement") |
| 2027 | METH (tobuf, "X.tobuf() -> buffer format") |
| 2028 | #undef METHNAME |
| 2029 | { 0 } |
| 2030 | }; |
| 2031 | |
| 2032 | static PyNumberMethods gf_pynumber = { |
| 2033 | gf_pyadd, /* @nb_add@ */ |
| 2034 | gf_pysub, /* @nb_subtract@ */ |
| 2035 | gf_pymul, /* @nb_multiply@ */ |
| 2036 | 0, /* @nb_divide@ */ |
| 2037 | gf_pymod, /* @nb_remainder@ */ |
| 2038 | gf_pydivmod, /* @nb_divmod@ */ |
| 2039 | gf_pyexp, /* @nb_power@ */ |
| 2040 | mp_pyid, /* @nb_negative@ */ |
| 2041 | mp_pyid, /* @nb_positive@ */ |
| 2042 | mp_pyid, /* @nb_absolute@ */ |
| 2043 | mp_pynonzerop, /* @nb_nonzero@ */ |
| 2044 | 0 /* doesn't make any sense */, /* @nb_invert@ */ |
| 2045 | gf_pylsl, /* @nb_lshift@ */ |
| 2046 | gf_pylsr, /* @nb_rshift@ */ |
| 2047 | gf_pyand, /* @nb_and@ */ |
| 2048 | gf_pyxor, /* @nb_xor@ */ |
| 2049 | gf_pyor, /* @nb_or@ */ |
| 2050 | gf_pycoerce, /* @nb_coerce@ */ |
| 2051 | mp_pyint, /* @nb_int@ */ |
| 2052 | mp_pylong, /* @nb_long@ */ |
| 2053 | 0 /* doesn't make any sense */, /* @nb_float@ */ |
| 2054 | mp_pyoct, /* @nb_oct@ */ |
| 2055 | mp_pyhex, /* @nb_hex@ */ |
| 2056 | |
| 2057 | 0, /* @nb_inplace_add@ */ |
| 2058 | 0, /* @nb_inplace_subtract@ */ |
| 2059 | 0, /* @nb_inplace_multiply@ */ |
| 2060 | 0, /* @nb_inplace_divide@ */ |
| 2061 | 0, /* @nb_inplace_remainder@ */ |
| 2062 | 0, /* @nb_inplace_power@ */ |
| 2063 | 0, /* @nb_inplace_lshift@ */ |
| 2064 | 0, /* @nb_inplace_rshift@ */ |
| 2065 | 0, /* @nb_inplace_and@ */ |
| 2066 | 0, /* @nb_inplace_xor@ */ |
| 2067 | 0, /* @nb_inplace_or@ */ |
| 2068 | |
| 2069 | gf_pydiv, /* @nb_floor_divide@ */ |
| 2070 | 0, /* @nb_true_divide@ */ |
| 2071 | 0, /* @nb_inplace_floor_divide@ */ |
| 2072 | 0, /* @nb_inplace_true_divide@ */ |
| 2073 | }; |
| 2074 | |
| 2075 | static PyTypeObject gf_pytype_skel = { |
| 2076 | PyObject_HEAD_INIT(0) 0, /* Header */ |
| 2077 | "GF", /* @tp_name@ */ |
| 2078 | sizeof(mp_pyobj), /* @tp_basicsize@ */ |
| 2079 | 0, /* @tp_itemsize@ */ |
| 2080 | |
| 2081 | mp_pydealloc, /* @tp_dealloc@ */ |
| 2082 | 0, /* @tp_print@ */ |
| 2083 | 0, /* @tp_getattr@ */ |
| 2084 | 0, /* @tp_setattr@ */ |
| 2085 | 0, /* @tp_compare@ */ |
| 2086 | gf_pyrepr, /* @tp_repr@ */ |
| 2087 | &gf_pynumber, /* @tp_as_number@ */ |
| 2088 | 0, /* @tp_as_sequence@ */ |
| 2089 | 0, /* @tp_as_mapping@ */ |
| 2090 | mp_pyhash, /* @tp_hash@ */ |
| 2091 | 0, /* @tp_call@ */ |
| 2092 | mp_pyhex, /* @tp_str@ */ |
| 2093 | 0, /* @tp_getattro@ */ |
| 2094 | 0, /* @tp_setattro@ */ |
| 2095 | 0, /* @tp_as_buffer@ */ |
| 2096 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ |
| 2097 | Py_TPFLAGS_CHECKTYPES | |
| 2098 | Py_TPFLAGS_BASETYPE, |
| 2099 | |
| 2100 | /* @tp_doc@ */ |
| 2101 | "Binary polynomials. Support almost all the standard arithmetic\n\ |
| 2102 | operations.\n\ |
| 2103 | \n\ |
| 2104 | Constructor GF(X, [radix = R]) attempts to convert X to a `GF'. If\n\ |
| 2105 | X is a string, it's read in radix-R form, or we look for a prefix\n\ |
| 2106 | if R = 0. Other acceptable things are field elements, elliptic curve\n\ |
| 2107 | points, group elements, Python `int' and `long' objects, and anything\n\ |
| 2108 | with an integer conversion.\n\ |
| 2109 | \n\ |
| 2110 | The name is hopelessly wrong from a technical point of view, but\n\ |
| 2111 | but it's much easier to type than `p2' or `c2' or whatever.\n\ |
| 2112 | \n\ |
| 2113 | Notes:\n\ |
| 2114 | \n\ |
| 2115 | * Use `//' for division. GFs don't have `/' division.", |
| 2116 | |
| 2117 | 0, /* @tp_traverse@ */ |
| 2118 | 0, /* @tp_clear@ */ |
| 2119 | gf_pyrichcompare, /* @tp_richcompare@ */ |
| 2120 | 0, /* @tp_weaklistoffset@ */ |
| 2121 | 0, /* @tp_iter@ */ |
| 2122 | 0, /* @tp_iternext@ */ |
| 2123 | gf_pymethods, /* @tp_methods@ */ |
| 2124 | 0, /* @tp_members@ */ |
| 2125 | gf_pygetset, /* @tp_getset@ */ |
| 2126 | 0, /* @tp_base@ */ |
| 2127 | 0, /* @tp_dict@ */ |
| 2128 | 0, /* @tp_descr_get@ */ |
| 2129 | 0, /* @tp_descr_set@ */ |
| 2130 | 0, /* @tp_dictoffset@ */ |
| 2131 | 0, /* @tp_init@ */ |
| 2132 | PyType_GenericAlloc, /* @tp_alloc@ */ |
| 2133 | gf_pynew, /* @tp_new@ */ |
| 2134 | 0, /* @tp_free@ */ |
| 2135 | 0 /* @tp_is_gc@ */ |
| 2136 | }; |
| 2137 | |
| 2138 | static PyObject *meth__GF_fromstring(PyObject *me, |
| 2139 | PyObject *arg, PyObject *kw) |
| 2140 | { |
| 2141 | int r = 0; |
| 2142 | char *p; |
| 2143 | Py_ssize_t len; |
| 2144 | PyObject *z = 0; |
| 2145 | mp *zz; |
| 2146 | mptext_stringctx sc; |
| 2147 | char *kwlist[] = { "class", "x", "radix", 0 }; |
| 2148 | |
| 2149 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring", |
| 2150 | kwlist, &me, &p, &len, &r)) |
| 2151 | goto end; |
| 2152 | if (!good_radix_p(r, 1)) VALERR("bad radix"); |
| 2153 | sc.buf = p; sc.lim = p + len; |
| 2154 | if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 || |
| 2155 | MP_NEGP(zz)) { |
| 2156 | if (zz) MP_DROP(zz); |
| 2157 | VALERR("bad binary polynomial"); |
| 2158 | } |
| 2159 | z = Py_BuildValue("(Ns#)", gf_pywrap(zz), |
| 2160 | sc.buf, (Py_ssize_t)(sc.lim - sc.buf)); |
| 2161 | end: |
| 2162 | return (z); |
| 2163 | } |
| 2164 | |
| 2165 | /*----- Sparse poly reduction ---------------------------------------------*/ |
| 2166 | |
| 2167 | typedef struct gfreduce_pyobj { |
| 2168 | PyObject_HEAD |
| 2169 | gfreduce mr; |
| 2170 | } gfreduce_pyobj; |
| 2171 | |
| 2172 | #define GFREDUCE_PY(o) (&((gfreduce_pyobj *)(o))->mr) |
| 2173 | |
| 2174 | static PyObject *grmeth_exp(PyObject *me, PyObject *arg) |
| 2175 | { |
| 2176 | PyObject *rc = 0; |
| 2177 | mp *yy = 0, *zz = 0; |
| 2178 | |
| 2179 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convgf, &yy, convgf, &zz)) |
| 2180 | goto end; |
| 2181 | if (MP_NEGP(zz)) { |
| 2182 | if ((yy = gf_modinv_checked(yy, yy, GFREDUCE_PY(me)->p)) == 0) goto end; |
| 2183 | zz = mp_neg(zz, zz); |
| 2184 | } |
| 2185 | rc = gf_pywrap(gfreduce_exp(GFREDUCE_PY(me), MP_NEW, yy, zz)); |
| 2186 | end: |
| 2187 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); |
| 2188 | return (rc); |
| 2189 | } |
| 2190 | |
| 2191 | static PyObject *grmeth_trace(PyObject *me, PyObject *arg) |
| 2192 | { |
| 2193 | PyObject *rc = 0; |
| 2194 | mp *xx = 0; |
| 2195 | |
| 2196 | if (!PyArg_ParseTuple(arg, "O&:trace", convgf, &xx)) goto end; |
| 2197 | rc = PyInt_FromLong(gfreduce_trace(GFREDUCE_PY(me), xx)); |
| 2198 | end: |
| 2199 | if (xx) MP_DROP(xx); |
| 2200 | return (rc); |
| 2201 | } |
| 2202 | |
| 2203 | static PyObject *grmeth_halftrace(PyObject *me, PyObject *arg) |
| 2204 | { |
| 2205 | PyObject *rc = 0; |
| 2206 | mp *xx = 0; |
| 2207 | |
| 2208 | if (!PyArg_ParseTuple(arg, "O&:halftrace", convgf, &xx)) goto end; |
| 2209 | rc = gf_pywrap(gfreduce_halftrace(GFREDUCE_PY(me), MP_NEW, xx)); |
| 2210 | end: |
| 2211 | if (xx) MP_DROP(xx); |
| 2212 | return (rc); |
| 2213 | } |
| 2214 | |
| 2215 | static PyObject *grmeth_sqrt(PyObject *me, PyObject *arg) |
| 2216 | { |
| 2217 | PyObject *rc = 0; |
| 2218 | mp *xx = 0, *yy; |
| 2219 | |
| 2220 | if (!PyArg_ParseTuple(arg, "O&:sqrt", convgf, &xx)) goto end; |
| 2221 | if ((yy = gfreduce_sqrt(GFREDUCE_PY(me), MP_NEW, xx)) == 0) |
| 2222 | VALERR("no modular square root"); |
| 2223 | rc = gf_pywrap(yy); |
| 2224 | end: |
| 2225 | if (xx) MP_DROP(xx); |
| 2226 | return (rc); |
| 2227 | } |
| 2228 | |
| 2229 | static PyObject *grmeth_quadsolve(PyObject *me, PyObject *arg) |
| 2230 | { |
| 2231 | PyObject *rc = 0; |
| 2232 | mp *xx = 0, *yy; |
| 2233 | |
| 2234 | if (!PyArg_ParseTuple(arg, "O&:quadsolve", convgf, &xx)) goto end; |
| 2235 | if ((yy = gfreduce_quadsolve(GFREDUCE_PY(me), MP_NEW, xx)) == 0) |
| 2236 | VALERR("no solution found"); |
| 2237 | rc = gf_pywrap(yy); |
| 2238 | end: |
| 2239 | if (xx) MP_DROP(xx); |
| 2240 | return (rc); |
| 2241 | } |
| 2242 | |
| 2243 | static PyObject *grmeth_reduce(PyObject *me, PyObject *arg) |
| 2244 | { |
| 2245 | PyObject *z = 0; |
| 2246 | mp *yy = 0; |
| 2247 | |
| 2248 | if (!PyArg_ParseTuple(arg, "O&:reduce", convgf, &yy)) goto end; |
| 2249 | z = gf_pywrap(gfreduce_do(GFREDUCE_PY(me), MP_NEW, yy)); |
| 2250 | end: |
| 2251 | return (z); |
| 2252 | } |
| 2253 | |
| 2254 | static void gfreduce_pydealloc(PyObject *me) |
| 2255 | { |
| 2256 | gfreduce_destroy(GFREDUCE_PY(me)); |
| 2257 | FREEOBJ(me); |
| 2258 | } |
| 2259 | |
| 2260 | static PyObject *gfreduce_pynew(PyTypeObject *ty, |
| 2261 | PyObject *arg, PyObject *kw) |
| 2262 | { |
| 2263 | gfreduce_pyobj *mr = 0; |
| 2264 | gfreduce r; |
| 2265 | char *kwlist[] = { "m", 0 }; |
| 2266 | mp *xx = 0; |
| 2267 | |
| 2268 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convgf, &xx)) |
| 2269 | goto end; |
| 2270 | if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!"); |
| 2271 | gfreduce_create(&r, xx); |
| 2272 | mr = (gfreduce_pyobj *)ty->tp_alloc(ty, 0); |
| 2273 | mr->mr = r; |
| 2274 | end: |
| 2275 | if (xx) MP_DROP(xx); |
| 2276 | return ((PyObject *)mr); |
| 2277 | } |
| 2278 | |
| 2279 | static PyObject *grget_m(PyObject *me, void *hunoz) |
| 2280 | { return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); } |
| 2281 | |
| 2282 | static PyGetSetDef gfreduce_pygetset[] = { |
| 2283 | #define GETSETNAME(op, name) gr##op##_##name |
| 2284 | GET (m, "R.m -> reduction polynomial") |
| 2285 | #undef GETSETNAME |
| 2286 | { 0 } |
| 2287 | }; |
| 2288 | |
| 2289 | static PyMethodDef gfreduce_pymethods[] = { |
| 2290 | #define METHNAME(name) grmeth_##name |
| 2291 | METH (reduce, "R.reduce(X) -> X mod B.m") |
| 2292 | METH (trace, "R.trace(X) -> Tr(X) = x + x^2 + ... + x^{2^{m - 1}}") |
| 2293 | METH (halftrace, "R.halftrace(X) -> x + x^{2^2} + ... + x^{2^{m - 1}}") |
| 2294 | METH (sqrt, "R.sqrt(X) -> Y where Y^2 = X mod R") |
| 2295 | METH (quadsolve, "R.quadsolve(X) -> Y where Y^2 + Y = X mod R") |
| 2296 | METH (exp, "R.exp(X, N) -> X^N mod B.m") |
| 2297 | #undef METHNAME |
| 2298 | { 0 } |
| 2299 | }; |
| 2300 | |
| 2301 | static PyTypeObject *gfreduce_pytype, gfreduce_pytype_skel = { |
| 2302 | PyObject_HEAD_INIT(0) 0, /* Header */ |
| 2303 | "GFReduce", /* @tp_name@ */ |
| 2304 | sizeof(gfreduce_pyobj), /* @tp_basicsize@ */ |
| 2305 | 0, /* @tp_itemsize@ */ |
| 2306 | |
| 2307 | gfreduce_pydealloc, /* @tp_dealloc@ */ |
| 2308 | 0, /* @tp_print@ */ |
| 2309 | 0, /* @tp_getattr@ */ |
| 2310 | 0, /* @tp_setattr@ */ |
| 2311 | 0, /* @tp_compare@ */ |
| 2312 | 0, /* @tp_repr@ */ |
| 2313 | 0, /* @tp_as_number@ */ |
| 2314 | 0, /* @tp_as_sequence@ */ |
| 2315 | 0, /* @tp_as_mapping@ */ |
| 2316 | 0, /* @tp_hash@ */ |
| 2317 | 0, /* @tp_call@ */ |
| 2318 | 0, /* @tp_str@ */ |
| 2319 | 0, /* @tp_getattro@ */ |
| 2320 | 0, /* @tp_setattro@ */ |
| 2321 | 0, /* @tp_as_buffer@ */ |
| 2322 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ |
| 2323 | Py_TPFLAGS_BASETYPE, |
| 2324 | |
| 2325 | /* @tp_doc@ */ |
| 2326 | "A reduction context for reduction modulo sparse irreducible polynomials.", |
| 2327 | |
| 2328 | 0, /* @tp_traverse@ */ |
| 2329 | 0, /* @tp_clear@ */ |
| 2330 | 0, /* @tp_richcompare@ */ |
| 2331 | 0, /* @tp_weaklistoffset@ */ |
| 2332 | 0, /* @tp_iter@ */ |
| 2333 | 0, /* @tp_iternext@ */ |
| 2334 | gfreduce_pymethods, /* @tp_methods@ */ |
| 2335 | 0, /* @tp_members@ */ |
| 2336 | gfreduce_pygetset, /* @tp_getset@ */ |
| 2337 | 0, /* @tp_base@ */ |
| 2338 | 0, /* @tp_dict@ */ |
| 2339 | 0, /* @tp_descr_get@ */ |
| 2340 | 0, /* @tp_descr_set@ */ |
| 2341 | 0, /* @tp_dictoffset@ */ |
| 2342 | 0, /* @tp_init@ */ |
| 2343 | PyType_GenericAlloc, /* @tp_alloc@ */ |
| 2344 | gfreduce_pynew, /* @tp_new@ */ |
| 2345 | 0, /* @tp_free@ */ |
| 2346 | 0 /* @tp_is_gc@ */ |
| 2347 | }; |
| 2348 | |
| 2349 | /*----- Normal/poly transformation ----------------------------------------*/ |
| 2350 | |
| 2351 | typedef struct gfn_pyobj { |
| 2352 | PyObject_HEAD |
| 2353 | mp *p; |
| 2354 | gfn ntop, pton; |
| 2355 | } gfn_pyobj; |
| 2356 | |
| 2357 | static PyTypeObject *gfn_pytype, gfn_pytype_skel; |
| 2358 | |
| 2359 | #define GFN_P(o) (((gfn_pyobj *)(o))->p) |
| 2360 | #define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton) |
| 2361 | #define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop) |
| 2362 | |
| 2363 | static PyObject *gfn_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) |
| 2364 | { |
| 2365 | mp *p = 0, *beta = 0; |
| 2366 | gfn_pyobj *gg = 0; |
| 2367 | char *kwlist[] = { "p", "beta", 0 }; |
| 2368 | |
| 2369 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", kwlist, |
| 2370 | convgf, &p, convgf, &beta)) |
| 2371 | goto end; |
| 2372 | gg = PyObject_New(gfn_pyobj, ty); |
| 2373 | gg->p = 0; |
| 2374 | if (gfn_create(p, beta, &gg->ntop, &gg->pton)) { |
| 2375 | Py_DECREF(gg); |
| 2376 | gg = 0; |
| 2377 | VALERR("can't invert transformation matrix"); |
| 2378 | } |
| 2379 | gg->p = MP_COPY(p); |
| 2380 | end: |
| 2381 | mp_drop(p); |
| 2382 | mp_drop(beta); |
| 2383 | return ((PyObject *)gg); |
| 2384 | } |
| 2385 | |
| 2386 | static PyObject *gfnget_p(PyObject *me, void *hunoz) |
| 2387 | { return (gf_pywrap(MP_COPY(GFN_P(me)))); } |
| 2388 | |
| 2389 | static PyObject *gfnget_beta(PyObject *me, void *hunoz) |
| 2390 | { |
| 2391 | gfn *n = GFN_NTOP(me); |
| 2392 | mp *x = n->r[n->n - 1]; |
| 2393 | return (gf_pywrap(MP_COPY(x))); |
| 2394 | } |
| 2395 | |
| 2396 | #define XFORMOP(name, NAME) \ |
| 2397 | static PyObject *gfnmeth_##name(PyObject *me, PyObject *arg) \ |
| 2398 | { \ |
| 2399 | mp *xx = 0; \ |
| 2400 | mp *z = 0; \ |
| 2401 | \ |
| 2402 | if (!PyArg_ParseTuple(arg, "O&:" #name, convgf, &xx)) goto end; \ |
| 2403 | z = gfn_transform(GFN_##NAME(me), MP_NEW, xx); \ |
| 2404 | end: \ |
| 2405 | mp_drop(xx); \ |
| 2406 | if (!z) return (0); \ |
| 2407 | return (gf_pywrap(z)); \ |
| 2408 | } |
| 2409 | XFORMOP(pton, PTON) |
| 2410 | XFORMOP(ntop, NTOP) |
| 2411 | #undef XFORMOP |
| 2412 | |
| 2413 | static void gfn_pydealloc(PyObject *me) |
| 2414 | { |
| 2415 | if (GFN_P(me)) { |
| 2416 | MP_DROP(GFN_P(me)); |
| 2417 | gfn_destroy(GFN_PTON(me)); |
| 2418 | gfn_destroy(GFN_NTOP(me)); |
| 2419 | } |
| 2420 | FREEOBJ(me); |
| 2421 | } |
| 2422 | |
| 2423 | static PyGetSetDef gfn_pygetset[] = { |
| 2424 | #define GETSETNAME(op, name) gfn##op##_##name |
| 2425 | GET (p, "X.p -> polynomial basis, as polynomial") |
| 2426 | GET (beta, "X.beta -> normal basis element, in poly form") |
| 2427 | #undef GETSETNAME |
| 2428 | { 0 } |
| 2429 | }; |
| 2430 | |
| 2431 | static PyMethodDef gfn_pymethods[] = { |
| 2432 | #define METHNAME(name) gfnmeth_##name |
| 2433 | METH (pton, "X.pton(A) -> normal-basis representation of A") |
| 2434 | METH (ntop, "X.ntop(A) -> polynomial-basis representation of A") |
| 2435 | #undef METHNAME |
| 2436 | { 0 } |
| 2437 | }; |
| 2438 | |
| 2439 | static PyTypeObject gfn_pytype_skel = { |
| 2440 | PyObject_HEAD_INIT(0) 0, /* Header */ |
| 2441 | "GFN", /* @tp_name@ */ |
| 2442 | sizeof(gfn_pyobj), /* @tp_basicsize@ */ |
| 2443 | 0, /* @tp_itemsize@ */ |
| 2444 | |
| 2445 | gfn_pydealloc, /* @tp_dealloc@ */ |
| 2446 | 0, /* @tp_print@ */ |
| 2447 | 0, /* @tp_getattr@ */ |
| 2448 | 0, /* @tp_setattr@ */ |
| 2449 | 0, /* @tp_compare@ */ |
| 2450 | 0, /* @tp_repr@ */ |
| 2451 | 0, /* @tp_as_number@ */ |
| 2452 | 0, /* @tp_as_sequence@ */ |
| 2453 | 0, /* @tp_as_mapping@ */ |
| 2454 | 0, /* @tp_hash@ */ |
| 2455 | 0, /* @tp_call@ */ |
| 2456 | 0, /* @tp_str@ */ |
| 2457 | 0, /* @tp_getattro@ */ |
| 2458 | 0, /* @tp_setattro@ */ |
| 2459 | 0, /* @tp_as_buffer@ */ |
| 2460 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ |
| 2461 | Py_TPFLAGS_BASETYPE, |
| 2462 | |
| 2463 | /* @tp_doc@ */ |
| 2464 | "An object for transforming elements of binary fields between polynomial\n\ |
| 2465 | and normal basis representations.", |
| 2466 | |
| 2467 | 0, /* @tp_traverse@ */ |
| 2468 | 0, /* @tp_clear@ */ |
| 2469 | 0, /* @tp_richcompare@ */ |
| 2470 | 0, /* @tp_weaklistoffset@ */ |
| 2471 | 0, /* @tp_iter@ */ |
| 2472 | 0, /* @tp_iternext@ */ |
| 2473 | gfn_pymethods, /* @tp_methods@ */ |
| 2474 | 0, /* @tp_members@ */ |
| 2475 | gfn_pygetset, /* @tp_getset@ */ |
| 2476 | 0, /* @tp_base@ */ |
| 2477 | 0, /* @tp_dict@ */ |
| 2478 | 0, /* @tp_descr_get@ */ |
| 2479 | 0, /* @tp_descr_set@ */ |
| 2480 | 0, /* @tp_dictoffset@ */ |
| 2481 | 0, /* @tp_init@ */ |
| 2482 | PyType_GenericAlloc, /* @tp_alloc@ */ |
| 2483 | gfn_pynew, /* @tp_new@ */ |
| 2484 | 0, /* @tp_free@ */ |
| 2485 | 0 /* @tp_is_gc@ */ |
| 2486 | }; |
| 2487 | |
| 2488 | /*----- Glue --------------------------------------------------------------*/ |
| 2489 | |
| 2490 | static PyMethodDef methods[] = { |
| 2491 | #define METHNAME(func) meth_##func |
| 2492 | KWMETH(_MP_fromstring, "\ |
| 2493 | fromstring(STR, [radix = 0]) -> (X, REST)\n\ |
| 2494 | \n\ |
| 2495 | Parse STR as a large integer, according to radix. If radix is zero,\n\ |
| 2496 | read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\ |
| 2497 | or `R_' for other radix R.") |
| 2498 | KWMETH(_GF_fromstring, "\ |
| 2499 | fromstring(STR, [radix = 0]) -> (X, REST)\n\ |
| 2500 | \n\ |
| 2501 | Parse STR as a binary polynomial, according to radix. If radix is zero,\n\ |
| 2502 | read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\ |
| 2503 | or `R_' for other radix R.") |
| 2504 | METH (_MP_factorial, "\ |
| 2505 | factorial(I) -> I!: compute factorial") |
| 2506 | METH (_MP_fibonacci, "\ |
| 2507 | fibonacci(I) -> F(I): compute Fibonacci number") |
| 2508 | METH (_MP_loadl, "\ |
| 2509 | loadl(STR) -> X: read little-endian bytes") |
| 2510 | METH (_MP_loadb, "\ |
| 2511 | loadb(STR) -> X: read big-endian bytes") |
| 2512 | METH (_MP_loadl2c, "\ |
| 2513 | loadl2c(STR) -> X: read little-endian bytes, two's complement") |
| 2514 | METH (_MP_loadb2c, "\ |
| 2515 | loadb2c(STR) -> X: read big-endian bytes, two's complement") |
| 2516 | METH (_MP_frombuf, "\ |
| 2517 | frombuf(STR) -> (X, REST): read buffer format") |
| 2518 | METH (_GF_loadl, "\ |
| 2519 | loadl(STR) -> X: read little-endian bytes") |
| 2520 | METH (_GF_loadb, "\ |
| 2521 | loadb(STR) -> X: read big-endian bytes") |
| 2522 | METH (_GF_frombuf, "\ |
| 2523 | frombuf(STR) -> (X, REST): read buffer format") |
| 2524 | #undef METHNAME |
| 2525 | { 0 } |
| 2526 | }; |
| 2527 | |
| 2528 | void mp_pyinit(void) |
| 2529 | { |
| 2530 | INITTYPE(mp, root); |
| 2531 | INITTYPE(gf, root); |
| 2532 | INITTYPE(mpmul, root); |
| 2533 | INITTYPE(mpmont, root); |
| 2534 | INITTYPE(mpbarrett, root); |
| 2535 | INITTYPE(mpreduce, root); |
| 2536 | INITTYPE(mpcrt, root); |
| 2537 | INITTYPE(gfreduce, root); |
| 2538 | INITTYPE(gfn, root); |
| 2539 | addmethods(methods); |
| 2540 | } |
| 2541 | |
| 2542 | void mp_pyinsert(PyObject *mod) |
| 2543 | { |
| 2544 | INSERT("MP", mp_pytype); |
| 2545 | INSERT("MPMul", mpmul_pytype); |
| 2546 | INSERT("MPMont", mpmont_pytype); |
| 2547 | INSERT("MPBarrett", mpbarrett_pytype); |
| 2548 | INSERT("MPReduce", mpreduce_pytype); |
| 2549 | INSERT("MPCRT", mpcrt_pytype); |
| 2550 | INSERT("GF", gf_pytype); |
| 2551 | INSERT("GFReduce", gfreduce_pytype); |
| 2552 | INSERT("GFN", gfn_pytype); |
| 2553 | } |
| 2554 | |
| 2555 | /*----- That's all, folks -------------------------------------------------*/ |