chiark - git - mdw - catacomb-python/blob - ec.c

   1 /* -*-c-*-
   2  *
   3  * Elliptic curves
   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 /*----- Utility functions -------------------------------------------------*/
  32
  33 PyTypeObject *ecpt_pytype;
  34 PyTypeObject *ecptcurve_pytype;
  35 PyTypeObject *eccurve_pytype;
  36 PyTypeObject *ecprimecurve_pytype;
  37 PyTypeObject *ecprimeprojcurve_pytype;
  38 PyTypeObject *ecbincurve_pytype;
  39 PyTypeObject *ecbinprojcurve_pytype;
  40 PyTypeObject *ecinfo_pytype;
  41
  42 ec_curve *eccurve_copy(ec_curve *c)
  43 {
  44   field *f;
  45   mp *a, *b;
  46
  47   if ((f = field_copy(c->f)) == 0)
  48     return (0);
  49   a = F_OUT(f, MP_NEW, c->a);
  50   b = F_OUT(f, MP_NEW, c->b);
  51   if (STRCMP(EC_NAME(c), ==, "prime"))
  52     c = ec_prime(f, a, b);
  53   else if (STRCMP(EC_NAME(c), ==, "primeproj"))
  54     c = ec_primeproj(f, a, b);
  55   else if (STRCMP(EC_NAME(c), ==, "bin"))
  56     c = ec_bin(f, a, b);
  57   else if (STRCMP(EC_NAME(c), ==, "binproj"))
  58     c = ec_binproj(f, a, b);
  59   else
  60     c = 0;
  61   MP_DROP(a);
  62   MP_DROP(b);
  63   if (!c) F_DESTROY(f);
  64   return (c);
  65 }
  66
  67 static PyObject *ecpt_dopywrap(PyObject *cobj, ec_curve *c, ec *p)
  68 {
  69   ecpt_pyobj *z = PyObject_New(ecpt_pyobj, (PyTypeObject *)cobj);
  70   z->p = *p;
  71   z->c = c;
  72   Py_INCREF(cobj);
  73   return ((PyObject *)z);
  74 }
  75
  76 PyObject *ecpt_pywrap(PyObject *cobj, ec *p)
  77   { return (ecpt_dopywrap(cobj, ECCURVE_C(cobj), p)); }
  78
  79 PyObject *ecpt_pywrapout(void *cobj, ec *p)
  80 {
  81   ec_curve *c;
  82
  83   if (!PyType_IsSubtype(cobj, ecptcurve_pytype))
  84     c = 0;
  85   else {
  86     c = ECCURVE_C(cobj);
  87     EC_IN(ECCURVE_C(cobj), p, p);
  88   }
  89   return (ecpt_dopywrap(cobj, c, p));
  90 }
  91
  92 int toecpt(ec_curve *c, ec *d, PyObject *p)
  93 {
  94   if (ECPTCURVE_PYCHECK(p)) {
  95     if (ECPT_C(p) != c && !ec_samep(ECPT_C(p), c))
  96       return (-1);
  97     EC_COPY(d, ECPT_P(p));
  98   } else if (ECPT_PYCHECK(p))
  99     EC_IN(c, d, ECPT_P(p));
 100   else
 101     return (-1);
 102   return (0);
 103 }
 104
 105 int getecpt(ec_curve *c, ec *d, PyObject *p)
 106 {
 107   if (toecpt(c, d, p)) {
 108     PyErr_Format(PyExc_TypeError, "can't convert %.100s to ecpt",
 109                  p->ob_type->tp_name);
 110     return (-1);
 111   }
 112   return (0);
 113 }
 114
 115 void getecptout(ec *d, PyObject *p)
 116 {
 117   if (ECPTCURVE_PYCHECK(p))
 118     EC_OUT(ECPT_C(p), d, ECPT_P(p));
 119   else {
 120     assert(ECPT_PYCHECK(p));
 121     EC_COPY(d, ECPT_P(p));
 122   }
 123 }
 124
 125 int convecpt(PyObject *o, void *p)
 126 {
 127   if (!ECPT_PYCHECK(o))
 128     TYERR("want elliptic curve point");
 129   getecptout(p, o);
 130   return (1);
 131 end:
 132   return (0);
 133 }
 134
 135 /*----- Curve points ------------------------------------------------------*/
 136
 137 static int ecbinop(PyObject *x, PyObject *y,
 138                    ec_curve **c, PyObject **cobj, ec *xx, ec *yy)
 139 {
 140   if (ECPTCURVE_PYCHECK(x)) *cobj = ECPT_COBJ(x);
 141   else if (ECPTCURVE_PYCHECK(y)) *cobj = ECPT_COBJ(y);
 142   else return (-1);
 143   *c = ECCURVE_C(*cobj);
 144   if (toecpt(*c, xx, x) || toecpt(*c, yy, y)) return (-1);
 145   return (0);
 146 }
 147
 148 #define BINOP(name)                                                     \
 149   static PyObject *ecpt_py##name(PyObject *x, PyObject *y) {            \
 150     ec xx = EC_INIT, yy = EC_INIT, zz = EC_INIT;                        \
 151     PyObject *cobj;                                                     \
 152     ec_curve *c;                                                        \
 153     if (ecbinop(x, y, &c, &cobj, &xx, &yy)) RETURN_NOTIMPL;             \
 154     c->ops->name(c, &zz, &xx, &yy);                                     \
 155     EC_DESTROY(&xx); EC_DESTROY(&yy);                                   \
 156     return (ecpt_pywrap(ECPT_COBJ(x), &zz));                            \
 157   }
 158 BINOP(add)
 159 BINOP(sub)
 160 #undef BINOP
 161
 162 #define UNOP(name)                                                      \
 163   static PyObject *ecpt_py##name(PyObject *x) {                         \
 164     ec zz = EC_INIT;                                                    \
 165     ec_curve *c = ECPT_C(x);                                            \
 166     c->ops->name(c, &zz, ECPT_P(x));                                    \
 167     return (ecpt_pywrap(ECPT_COBJ(x), &zz));                            \
 168   }
 169 UNOP(neg)
 170 #undef UNOP
 171
 172 static PyObject *ecpt_pyid(PyObject *x) { RETURN_OBJ(x); }
 173
 174 static int ecpt_pynonzerop(PyObject *x) { return (!EC_ATINF(ECPT_P(x))); }
 175
 176 static void ecpt_pydealloc(PyObject *x)
 177 {
 178   EC_DESTROY(ECPT_P(x));
 179   Py_DECREF(ECPT_COBJ(x));
 180   FREEOBJ(x);
 181 }
 182
 183 static PyObject *ecpt_pymul(PyObject *x, PyObject *y)
 184 {
 185   mp *xx;
 186   ec zz = EC_INIT;
 187
 188   if (ECPT_PYCHECK(x)) { PyObject *t; t = x; x = y; y = t; }
 189   if (!ECPT_PYCHECK(y)) RETURN_NOTIMPL;
 190   if (FE_PYCHECK(x) && FE_F(x)->ops->ty == FTY_PRIME)
 191     xx = F_OUT(FE_F(x), MP_NEW, FE_X(x));
 192   else if ((xx = implicitmp(x)) == 0)
 193     RETURN_NOTIMPL;
 194   ec_imul(ECPT_C(y), &zz, ECPT_P(y), xx);
 195   MP_DROP(xx);
 196   return (ecpt_pywrap(ECPT_COBJ(y), &zz));
 197 }
 198
 199 static Py_hash_t ecpt_pyhash(PyObject *me)
 200 {
 201   uint32 h;
 202   ec p = EC_INIT;
 203
 204   getecptout(&p, me);
 205   if (EC_ATINF(&p)) h = 0x81d81a94;
 206   else h = 0xe0fdd039 ^ (2*mphash(p.x)) ^ (3*mphash(p.y));
 207   EC_DESTROY(&p);
 208   return (h%LONG_MAX);
 209 }
 210
 211 static PyObject *ecpt_pyrichcompare(PyObject *x, PyObject *y, int op)
 212 {
 213   ec p = EC_INIT, q = EC_INIT;
 214   int b;
 215   PyObject *rc = 0;
 216
 217   if (!ECPT_PYCHECK(y)) RETURN_NOTIMPL;
 218   getecptout(&p, x);
 219   getecptout(&q, y);
 220   switch (op) {
 221     case Py_EQ: b = EC_EQ(&p, &q); break;
 222     case Py_NE: b = !EC_EQ(&p, &q); break;
 223     default: TYERR("elliptic curve points are unordered");
 224   }
 225   rc = getbool(b);
 226 end:
 227   EC_DESTROY(&p);
 228   EC_DESTROY(&q);
 229   return (rc);
 230 }
 231
 232 static PyObject *epmeth_oncurvep(PyObject *me)
 233 {
 234   return (getbool(EC_ATINF(ECPT_P(me)) ||
 235                   !EC_CHECK(ECPT_C(me), ECPT_P(me))));
 236 }
 237
 238 static PyObject *epmeth_dbl(PyObject *me)
 239 {
 240   ec p = EC_INIT;
 241   EC_DBL(ECPT_C(me), &p, ECPT_P(me));
 242   return (ecpt_pywrap(ECPT_COBJ(me), &p));
 243 }
 244
 245 static PyObject *epmeth_tobuf(PyObject *me)
 246 {
 247   buf b;
 248   ec p = EC_INIT;
 249   PyObject *rc;
 250   size_t n;
 251
 252   getecptout(&p, me);
 253   if (EC_ATINF(&p))
 254     n = 2;
 255   else
 256     n = mp_octets(p.x) + mp_octets(p.y) + 6;
 257   rc = bytestring_pywrap(0, n);
 258   buf_init(&b, BIN_PTR(rc), n);
 259   buf_putec(&b, &p);
 260   assert(BOK(&b));
 261   BIN_SETLEN(rc, BLEN(&b));
 262   EC_DESTROY(&p);
 263   return (rc);
 264 }
 265
 266 static PyObject *epmeth_toraw(PyObject *me)
 267 {
 268   buf b;
 269   PyObject *rc;
 270   char *p;
 271   ec_curve *c = ECPT_C(me);
 272   ec pp = EC_INIT;
 273   int len;
 274
 275   len = c->f->noctets * 2 + 1;
 276   rc = bytestring_pywrap(0, len);
 277   p = BIN_PTR(rc);
 278   buf_init(&b, p, len);
 279   EC_OUT(c, &pp, ECPT_P(me));
 280   ec_putraw(c, &b, &pp);
 281   EC_DESTROY(&pp);
 282   BIN_SETLEN(rc, BLEN(&b));
 283   return (rc);
 284 }
 285
 286 static PyObject *epmeth_ec2osp(PyObject *me, PyObject *arg, PyObject *kw)
 287 {
 288   buf b;
 289   PyObject *rc;
 290   char *p;
 291   ec_curve *c = ECPT_C(me);
 292   ec pp = EC_INIT;
 293   unsigned f = EC_EXPLY;
 294   int len;
 295   static const char *const kwlist[] = { "flags", 0 };
 296
 297   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&:ec2osp", KWLIST,
 298                                    convuint, &f))
 299     return (0);
 300   len = c->f->noctets * 2 + 1;
 301   rc = bytestring_pywrap(0, len);
 302   p = BIN_PTR(rc);
 303   buf_init(&b, p, len);
 304   EC_OUT(c, &pp, ECPT_P(me));
 305   if (ec_ec2osp(c, f, &b, &pp)) {
 306     Py_DECREF(rc); rc = 0;
 307     VALERR("invalid flags");
 308   }
 309   EC_DESTROY(&pp);
 310   BIN_SETLEN(rc, BLEN(&b));
 311 end:
 312   return (rc);
 313 }
 314
 315 static PyObject *epmeth_frombuf(PyObject *me, PyObject *arg)
 316 {
 317   struct bin in;
 318   buf b;
 319   PyObject *rc = 0;
 320   ec pp = EC_INIT;
 321
 322   if (!PyArg_ParseTuple(arg, "O&:frombuf", convbin, &in)) goto end;
 323   buf_init(&b, (/*unconst*/ void *)in.p, in.sz);
 324   if (buf_getec(&b, &pp)) VALERR("malformed data");
 325   rc = Py_BuildValue("(NN)", ecpt_pywrapout(me, &pp),
 326                      bytestring_pywrapbuf(&b));
 327 end:
 328   return (rc);
 329 }
 330
 331 static PyObject *epmeth_parse(PyObject *me, PyObject *arg)
 332 {
 333   char *p;
 334   qd_parse qd;
 335   PyObject *rc = 0;
 336   ec pp = EC_INIT;
 337
 338   if (!PyArg_ParseTuple(arg, "s:parse", &p)) goto end;
 339   qd.p = p; qd.e = 0;
 340   if (!ec_ptparse(&qd, &pp)) VALERR(qd.e);
 341   rc = Py_BuildValue("(Ns)", ecpt_pywrapout(me, &pp), qd.p);
 342 end:
 343   return (rc);
 344 }
 345
 346 static PyObject *epmeth_fromraw(PyObject *me, PyObject *arg)
 347 {
 348   struct bin in;
 349   buf b;
 350   PyObject *rc = 0;
 351   ec_curve *cc;
 352   ec pp = EC_INIT;
 353
 354   if (!PyArg_ParseTuple(arg, "O&:fromraw", convbin, &in)) return (0);
 355   buf_init(&b, (/*unconst*/ void *)in.p, in.sz);
 356   cc = ECCURVE_C(me);
 357   if (ec_getraw(cc, &b, &pp))
 358     VALERR("bad point");
 359   EC_IN(cc, &pp, &pp);
 360   rc = Py_BuildValue("(NN)", ecpt_pywrap(me, &pp), bytestring_pywrapbuf(&b));
 361 end:
 362   return (rc);
 363 }
 364
 365 static PyObject *epmeth_os2ecp(PyObject *me, PyObject *arg, PyObject *kw)
 366 {
 367   struct bin in;
 368   buf b;
 369   PyObject *rc = 0;
 370   ec_curve *cc;
 371   unsigned f = EC_XONLY | EC_LSB | EC_SORT | EC_EXPLY;
 372   ec pp = EC_INIT;
 373   static const char *const kwlist[] = { "buf", "flags", 0 };
 374
 375   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&|O&:os2ecp", KWLIST,
 376                                    convbin, &in, convuint, &f))
 377     return (0);
 378   buf_init(&b, (/*unconst*/ void *)in.p, in.sz);
 379   cc = ECCURVE_C(me);
 380   if (ec_os2ecp(cc, f, &b, &pp)) VALERR("bad point");
 381   EC_IN(cc, &pp, &pp);
 382   rc = Py_BuildValue("(NN)", ecpt_pywrap(me, &pp), bytestring_pywrapbuf(&b));
 383 end:
 384   return (rc);
 385 }
 386
 387 static PyObject *epncget_ix(PyObject *me, void *hunoz)
 388 {
 389   ec p = EC_INIT;
 390   PyObject *rc;
 391   if (EC_ATINF(ECPT_P(me))) RETURN_NONE;
 392   getecptout(&p, me);
 393   rc = mp_pywrap(MP_COPY(p.x));
 394   EC_DESTROY(&p);
 395   return (rc);
 396 }
 397
 398 static PyObject *epncget_iy(PyObject *me, void *hunoz)
 399 {
 400   ec p = EC_INIT;
 401   PyObject *rc;
 402   if (EC_ATINF(ECPT_P(me))) RETURN_NONE;
 403   getecptout(&p, me);
 404   rc = mp_pywrap(MP_COPY(p.y));
 405   EC_DESTROY(&p);
 406   return (rc);
 407 }
 408
 409 static PyObject *epncget_point(PyObject *me, void *hunoz)
 410   { RETURN_ME; }
 411
 412 static PyObject *epget_point(PyObject *me, void *hunoz)
 413 {
 414   ec p = EC_INIT;
 415   getecptout(&p, me);
 416   return (ecpt_pywrapout(ecpt_pytype, &p));
 417 }
 418
 419 static PyObject *epget_x(PyObject *me, void *hunoz)
 420 {
 421   ec_curve *c = ECPT_C(me);
 422   ec *pp = ECPT_P(me);
 423   PyObject *fobj = ECPT_FOBJ(me);
 424   ec p = EC_INIT;
 425   PyObject *rc;
 426
 427   if (EC_ATINF(pp)) RETURN_NONE;
 428   EC_OUT(c, &p, pp);
 429   rc = fe_pywrap(fobj, F_IN(c->f, MP_NEW, p.x));
 430   EC_DESTROY(&p);
 431   return (rc);
 432 }
 433
 434 static PyObject *epget_y(PyObject *me, void *hunoz)
 435 {
 436   ec_curve *c = ECPT_C(me);
 437   ec *pp = ECPT_P(me);
 438   PyObject *fobj = ECPT_FOBJ(me);
 439   ec p = EC_INIT;
 440   PyObject *rc;
 441
 442   if (EC_ATINF(pp)) RETURN_NONE;
 443   EC_OUT(c, &p, pp);
 444   rc = fe_pywrap(fobj, F_IN(c->f, MP_NEW, p.y));
 445   EC_DESTROY(&p);
 446   return (rc);
 447 }
 448
 449 static PyObject *epget__x(PyObject *me, void *hunoz)
 450 {
 451   if (EC_ATINF(ECPT_P(me))) RETURN_NONE;
 452   return (fe_pywrap(ECPT_FOBJ(me), MP_COPY(ECPT_P(me)->x)));
 453 }
 454
 455 static PyObject *epget__y(PyObject *me, void *hunoz)
 456 {
 457   if (EC_ATINF(ECPT_P(me))) RETURN_NONE;
 458   return (fe_pywrap(ECPT_FOBJ(me), MP_COPY(ECPT_P(me)->y)));
 459 }
 460
 461 static PyObject *epget__z(PyObject *me, void *hunoz)
 462 {
 463   if (EC_ATINF(ECPT_P(me)) || !ECPT_P(me)->z) RETURN_NONE;
 464   return (fe_pywrap(ECPT_FOBJ(me), MP_COPY(ECPT_P(me)->z)));
 465 }
 466
 467 static mp *coord_in(field *f, PyObject *x)
 468 {
 469   mp *xx;
 470   if (FE_PYCHECK(x) && (FE_F(x) == f || field_samep(FE_F(x), f)))
 471     return (MP_COPY(FE_X(x)));
 472   else if ((xx = getmp(x)) == 0)
 473     return (0);
 474   else
 475     return (F_IN(f, xx, xx));
 476 }
 477
 478 static int ecptxl_3(ec_curve *c, ec *p,
 479                     PyObject *x, PyObject *y, PyObject *z)
 480 {
 481   int rc = -1;
 482
 483   if (!x || !y || !z) TYERR("missing argument");
 484   if (!c) VALERR("internal form with no curve!");
 485   if ((p->x = coord_in(c->f, x)) == 0 ||
 486       (p->y = coord_in(c->f, y)) == 0 ||
 487       (z != Py_None && (p->z = coord_in(c->f, z)) == 0))
 488     goto end;
 489   if (!p->z) p->z = MP_COPY(c->f->one); /* just in case */
 490   rc = 0;
 491 end:
 492   return (rc);
 493 }
 494
 495 static int ecptxl_2(ec_curve *c, ec *p, PyObject *x, PyObject *y)
 496 {
 497   int rc = -1;
 498
 499   if (!x || !y) TYERR("missing argument");
 500   if ((p->x = getmp(x)) == 0 ||
 501       (p->y = getmp(y)) == 0)
 502     goto end;
 503   if (c) EC_IN(c, p, p);
 504   rc = 0;
 505 end:
 506   return (rc);
 507 }
 508
 509 static int ecptxl_1(ec_curve *c, ec *p, PyObject *x)
 510 {
 511   int rc = -1;
 512   PyObject *y = 0, *z = 0, *t = 0;
 513   mp *xx = 0;
 514   int n;
 515   qd_parse qd;
 516
 517   Py_XINCREF(x);
 518   if (!x || x == Py_None)
 519     /*cool*/;
 520   else if (ECPT_PYCHECK(x)) {
 521     getecptout(p, x);
 522     goto fix;
 523   } else if (TEXT_CHECK(x)) {
 524     qd.p = TEXT_PTR(x);
 525     qd.e = 0;
 526     if (!ec_ptparse(&qd, p))
 527       VALERR(qd.e);
 528     qd_skipspc(&qd); if (!qd_eofp(&qd)) VALERR("junk at eof");
 529     goto fix;
 530   } else if (c && (xx = tomp(x)) != 0) {
 531     xx = F_IN(c->f, xx, xx);
 532     if (!EC_FIND(c, p, xx)) VALERR("not on the curve");
 533   } else if (PySequence_Check(x)) {
 534     t = x; x = 0;
 535     n = PySequence_Size(t); if (n < 0) goto end;
 536     if (n != 2 && (n != 3 || !c))
 537       TYERR("want sequence of two or three items");
 538     if ((x = PySequence_GetItem(t, 0)) == 0 ||
 539         (y = PySequence_GetItem(t, 1)) == 0 ||
 540         (n == 3 && (z = PySequence_GetItem(t, 2)) == 0))
 541       goto end;
 542     rc = (n == 2) ? ecptxl_2(c, p, x, y) : ecptxl_3(c, p, x, y, z);
 543     goto end;
 544   } else
 545     TYERR("can't convert to curve point");
 546   goto ok;
 547
 548 fix:
 549   if (c) EC_IN(c, p, p);
 550 ok:
 551   rc = 0;
 552 end:
 553   Py_XDECREF(x); Py_XDECREF(y); Py_XDECREF(z); Py_XDECREF(t);
 554   mp_drop(xx);
 555   return (rc);
 556 }
 557
 558 static int ecptxl(ec_curve *c, ec *p, PyObject *x, PyObject *y, PyObject *z)
 559 {
 560   if (z)
 561     return (ecptxl_3(c, p, x, y, z));
 562   else if (y)
 563     return (ecptxl_2(c, p, x, y));
 564   else
 565     return (ecptxl_1(c, p, x));
 566 }
 567
 568 static PyObject *ecptnc_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
 569 {
 570   PyObject *x = 0, *y = 0, *z = 0;
 571   ec p = EC_INIT;
 572   static const char *const kwlist[] = { "x", "y", 0 };
 573
 574   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|OO:new", KWLIST, &x, &y) ||
 575       ecptxl(0, &p, x, y, z))
 576     goto end;
 577   return (ecpt_pywrapout(ty, &p));
 578 end:
 579   mp_drop(p.x); mp_drop(p.y); mp_drop(p.z);
 580   return (0);
 581 }
 582
 583 static PyObject *ecpt_pyint(PyObject *me)
 584 {
 585   ec p = EC_INIT;
 586   long l;
 587   PyObject *rc = 0;
 588   if (EC_ATINF(ECPT_P(me))) VALERR("point at infinity");
 589   getecptout(&p, me);
 590   if (!mp_tolong_checked(p.x, &l, 0)) rc = PyInt_FromLong(l);
 591   else rc = mp_topylong(p.x);
 592 end:
 593   EC_DESTROY(&p);
 594   return (rc);
 595 }
 596
 597 #ifdef PY2
 598 static PyObject *ecpt_pylong(PyObject *me)
 599 {
 600   ec p = EC_INIT;
 601   PyObject *rc = 0;
 602   if (EC_ATINF(ECPT_P(me))) VALERR("point at infinity");
 603   getecptout(&p, me);
 604   rc = mp_topylong(p.x);
 605 end:
 606   EC_DESTROY(&p);
 607   return (rc);
 608 }
 609 #endif
 610
 611 static PyObject *ecpt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
 612 {
 613   PyObject *x = 0, *y = 0, *z = 0;
 614   ec p = EC_INIT;
 615   static const char *const kwlist[] = { "x", "y", "z", 0 };
 616
 617   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|OOO:new", KWLIST,
 618                                    &x, &y, &z) ||
 619       ecptxl(ECCURVE_C(ty), &p, x, y, z))
 620     goto end;
 621   return (ecpt_pywrap((PyObject *)ty, &p));
 622 end:
 623   mp_drop(p.x); mp_drop(p.y); mp_drop(p.z);
 624   return (0);
 625 }
 626
 627 static const PyGetSetDef ecptnc_pygetset[] = {
 628 #define GETSETNAME(op, name) epnc##op##_##name
 629   GET   (ix,            "P.ix -> integer x coordinate of P")
 630   GET   (iy,            "P.iy -> integer y coordinate of P")
 631   GET   (point,         "P.point -> standalone curve point (no-op)")
 632 #undef GETSETNAME
 633   { 0 }
 634 };
 635
 636 static const PyMethodDef ecptnc_pymethods[] = {
 637 #define METHNAME(func) epmeth_##func
 638   NAMETH(tobuf,         "X.tobuf() -> BIN")
 639   CMTH  (frombuf,       "frombuf(STR) -> (P, REST)")
 640   CMTH  (parse,         "parse(STR) -> (P, REST)")
 641 #undef METHNAME
 642   { 0 }
 643 };
 644
 645 static const PyNumberMethods ecpt_pynumber = {
 646   0,                                    /* @nb_add@ */
 647   0,                                    /* @nb_subtract@ */
 648   0,                                    /* @nb_multiply@ */
 649 #ifdef PY2
 650   0,                                    /* @nb_divide@ */
 651 #endif
 652   0,                                    /* @nb_remainder@ */
 653   0,                                    /* @nb_divmod@ */
 654   0,                                    /* @nb_power@ */
 655   0,                                    /* @nb_negative@ */
 656   0,                                    /* @nb_positive@ */
 657   0,                                    /* @nb_absolute@ */
 658   ecpt_pynonzerop,                      /* @nb_nonzero@ */
 659   0,                                    /* @nb_invert@ */
 660   0,                                    /* @nb_lshift@ */
 661   0,                                    /* @nb_rshift@ */
 662   0,                                    /* @nb_and@ */
 663   0,                                    /* @nb_xor@ */
 664   0,                                    /* @nb_or@ */
 665 #ifdef PY2
 666   0,                                    /* @nb_coerce@ */
 667 #endif
 668   ecpt_pyint,                           /* @nb_int@ */
 669   PY23(ecpt_pylong, 0),                 /* @nb_long@ */
 670   0,                                    /* @nb_float@ */
 671 #ifdef PY2
 672   0,                                    /* @nb_oct@ */
 673   0,                                    /* @nb_hex@ */
 674 #endif
 675
 676   0,                                    /* @nb_inplace_add@ */
 677   0,                                    /* @nb_inplace_subtract@ */
 678   0,                                    /* @nb_inplace_multiply@ */
 679 #ifdef PY2
 680   0,                                    /* @nb_inplace_divide@ */
 681 #endif
 682   0,                                    /* @nb_inplace_remainder@ */
 683   0,                                    /* @nb_inplace_power@ */
 684   0,                                    /* @nb_inplace_lshift@ */
 685   0,                                    /* @nb_inplace_rshift@ */
 686   0,                                    /* @nb_inplace_and@ */
 687   0,                                    /* @nb_inplace_xor@ */
 688   0,                                    /* @nb_inplace_or@ */
 689
 690   0,                                    /* @nb_floor_divide@ */
 691   0,                                    /* @nb_true_divide@ */
 692   0,                                    /* @nb_inplace_floor_divide@ */
 693   0,                                    /* @nb_inplace_true_divide@ */
 694 };
 695
 696 static const PyTypeObject ecpt_pytype_skel = {
 697   PyVarObject_HEAD_INIT(0, 0)           /* Header */
 698   "ECPt",                               /* @tp_name@ */
 699   sizeof(ecpt_pyobj),                   /* @tp_basicsize@ */
 700   0,                                    /* @tp_itemsize@ */
 701
 702   ecpt_pydealloc,                       /* @tp_dealloc@ */
 703   0,                                    /* @tp_print@ */
 704   0,                                    /* @tp_getattr@ */
 705   0,                                    /* @tp_setattr@ */
 706   0,                                    /* @tp_compare@ */
 707   0,                                    /* @tp_repr@ */
 708   PYNUMBER(ecpt),                       /* @tp_as_number@ */
 709   0,                                    /* @tp_as_sequence@ */
 710   0,                                    /* @tp_as_mapping@ */
 711   ecpt_pyhash,                          /* @tp_hash@ */
 712   0,                                    /* @tp_call@ */
 713   0,                                    /* @tp_str@ */
 714   0,                                    /* @tp_getattro@ */
 715   0,                                    /* @tp_setattro@ */
 716   0,                                    /* @tp_as_buffer@ */
 717   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 718     Py_TPFLAGS_CHECKTYPES |
 719     Py_TPFLAGS_BASETYPE,
 720
 721   /* @tp_doc@ */
 722   "ECPt([X, [Y]]): elliptic curve points, not associated with any curve.\n"
 723   "  X alone may be None, an existing point, a string 'X, Y', an\n"
 724   "  x-coordinate, or a pair (X, Y); X and Y should be a coordinate pair.",
 725
 726   0,                                    /* @tp_traverse@ */
 727   0,                                    /* @tp_clear@ */
 728   ecpt_pyrichcompare,                   /* @tp_richcompare@ */
 729   0,                                    /* @tp_weaklistoffset@ */
 730   0,                                    /* @tp_iter@ */
 731   0,                                    /* @tp_iternext@ */
 732   PYMETHODS(ecptnc),                    /* @tp_methods@ */
 733   0,                                    /* @tp_members@ */
 734   PYGETSET(ecptnc),                     /* @tp_getset@ */
 735   0,                                    /* @tp_base@ */
 736   0,                                    /* @tp_dict@ */
 737   0,                                    /* @tp_descr_get@ */
 738   0,                                    /* @tp_descr_set@ */
 739   0,                                    /* @tp_dictoffset@ */
 740   0,                                    /* @tp_init@ */
 741   PyType_GenericAlloc,                  /* @tp_alloc@ */
 742   ecptnc_pynew,                         /* @tp_new@ */
 743   0,                                    /* @tp_free@ */
 744   0                                     /* @tp_is_gc@ */
 745 };
 746
 747 static const PyMemberDef ecpt_pymembers[] = {
 748 #define MEMBERSTRUCT ecpt_pyobj
 749   MEMRNM(curve, T_OBJECT, PY23(ob_type, ob_base.ob_type), READONLY,
 750                                     "P.curve -> elliptic curve containing P")
 751 #undef MEMBERSTRUCT
 752   { 0 }
 753 };
 754
 755 static const PyGetSetDef ecpt_pygetset[] = {
 756 #define GETSETNAME(op, name) ep##op##_##name
 757   GET   (point,         "P.point -> standalone curve point")
 758   GET   (x,             "P.x -> Cartesian x coordinate of P")
 759   GET   (y,             "P.y -> Cartesian y coordinate of P")
 760   GET   (_x,            "P._x -> internal x coordinate of P")
 761   GET   (_y,            "P._y -> internal y coordinate of P")
 762   GET   (_z,            "P._z -> internal z coordinate of P, or None")
 763 #undef GETSETNAME
 764   { 0 }
 765 };
 766
 767 static const PyMethodDef ecpt_pymethods[] = {
 768 #define METHNAME(func) epmeth_##func
 769   NAMETH(toraw,         "X.toraw() -> BIN")
 770   KWMETH(ec2osp,        "X.ec2osp([flags = EC_EXPLY]) -> BIN")
 771   NAMETH(dbl,           "X.dbl() -> X + X")
 772   NAMETH(oncurvep,      "X.oncurvep() -> BOOL")
 773   CMTH  (fromraw,       "fromraw(STR) -> (P, REST)")
 774   KWCMTH(os2ecp,        "os2ecp(STR, [flags = ...]) -> (P, REST)")
 775 #undef METHNAME
 776   { 0 }
 777 };
 778
 779 static const PyNumberMethods ecptcurve_pynumber = {
 780   ecpt_pyadd,                           /* @nb_add@ */
 781   ecpt_pysub,                           /* @nb_subtract@ */
 782   ecpt_pymul,                           /* @nb_multiply@ */
 783 #ifdef PY2
 784   0,                                    /* @nb_divide@ */
 785 #endif
 786   0,                                    /* @nb_remainder@ */
 787   0,                                    /* @nb_divmod@ */
 788   0,                                    /* @nb_power@ */
 789   ecpt_pyneg,                           /* @nb_negative@ */
 790   ecpt_pyid,                            /* @nb_positive@ */
 791   0,                                    /* @nb_absolute@ */
 792   0,                                    /* @nb_nonzero@ */
 793   0,                                    /* @nb_invert@ */
 794   0,                                    /* @nb_lshift@ */
 795   0,                                    /* @nb_rshift@ */
 796   0,                                    /* @nb_and@ */
 797   0,                                    /* @nb_xor@ */
 798   0,                                    /* @nb_or@ */
 799 #ifdef PY2
 800   0,                                    /* @nb_coerce@ */
 801 #endif
 802   0,                                    /* @nb_int@ */
 803   0,                                    /* @nb_long@ */
 804   0,                                    /* @nb_float@ */
 805 #ifdef PY2
 806   0,                                    /* @nb_oct@ */
 807   0,                                    /* @nb_hex@ */
 808 #endif
 809
 810   0,                                    /* @nb_inplace_add@ */
 811   0,                                    /* @nb_inplace_subtract@ */
 812   0,                                    /* @nb_inplace_multiply@ */
 813   0,                                    /* @nb_inplace_divide@ */
 814   0,                                    /* @nb_inplace_remainder@ */
 815   0,                                    /* @nb_inplace_power@ */
 816   0,                                    /* @nb_inplace_lshift@ */
 817   0,                                    /* @nb_inplace_rshift@ */
 818   0,                                    /* @nb_inplace_and@ */
 819   0,                                    /* @nb_inplace_xor@ */
 820   0,                                    /* @nb_inplace_or@ */
 821
 822   0,                                    /* @nb_floor_divide@ */
 823   0,                                    /* @nb_true_divide@ */
 824   0,                                    /* @nb_inplace_floor_divide@ */
 825   0,                                    /* @nb_inplace_true_divide@ */
 826 };
 827
 828 static const PyTypeObject ecptcurve_pytype_skel = {
 829   PyVarObject_HEAD_INIT(0, 0)           /* Header */
 830   "ECPtCurve",                          /* @tp_name@ */
 831   sizeof(ecpt_pyobj),                   /* @tp_basicsize@ */
 832   0,                                    /* @tp_itemsize@ */
 833
 834   ecpt_pydealloc,                       /* @tp_dealloc@ */
 835   0,                                    /* @tp_print@ */
 836   0,                                    /* @tp_getattr@ */
 837   0,                                    /* @tp_setattr@ */
 838   0,                                    /* @tp_compare@ */
 839   0,                                    /* @tp_repr@ */
 840   PYNUMBER(ecptcurve),                  /* @tp_as_number@ */
 841   0,                                    /* @tp_as_sequence@ */
 842   0,                                    /* @tp_as_mapping@ */
 843   0,                                    /* @tp_hash@ */
 844   0,                                    /* @tp_call@ */
 845   0,                                    /* @tp_str@ */
 846   0,                                    /* @tp_getattro@ */
 847   0,                                    /* @tp_setattro@ */
 848   0,                                    /* @tp_as_buffer@ */
 849   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 850     Py_TPFLAGS_CHECKTYPES |
 851     Py_TPFLAGS_BASETYPE,
 852
 853   /* @tp_doc@ */
 854   "Elliptic curve points; abstract base class for points on given curves.",
 855
 856   0,                                    /* @tp_traverse@ */
 857   0,                                    /* @tp_clear@ */
 858   0,                                    /* @tp_richcompare@ */
 859   0,                                    /* @tp_weaklistoffset@ */
 860   0,                                    /* @tp_iter@ */
 861   0,                                    /* @tp_iternext@ */
 862   PYMETHODS(ecpt),                      /* @tp_methods@ */
 863   PYMEMBERS(ecpt),                      /* @tp_members@ */
 864   PYGETSET(ecpt),                       /* @tp_getset@ */
 865   0,                                    /* @tp_base@ */
 866   0,                                    /* @tp_dict@ */
 867   0,                                    /* @tp_descr_get@ */
 868   0,                                    /* @tp_descr_set@ */
 869   0,                                    /* @tp_dictoffset@ */
 870   0,                                    /* @tp_init@ */
 871   PyType_GenericAlloc,                  /* @tp_alloc@ */
 872   abstract_pynew,                       /* @tp_new@ */
 873   0,                                    /* @tp_free@ */
 874   0                                     /* @tp_is_gc@ */
 875 };
 876
 877 /*----- Elliptic curves themselves ----------------------------------------*/
 878
 879 static PyObject *eccurve_pyrichcompare(PyObject *x, PyObject *y, int op)
 880 {
 881   int b;
 882
 883   assert(ECCURVE_PYCHECK(x));
 884   if (!ECCURVE_PYCHECK(y)) RETURN_NOTIMPL;
 885   b = ec_samep(ECCURVE_C(x), ECCURVE_C(y));
 886   switch (op) {
 887     case Py_EQ: break;
 888     case Py_NE: b = !b; break;
 889     default: TYERR("can't order elliptic curves");
 890   }
 891   return (getbool(b));
 892 end:
 893   return (0);
 894 }
 895
 896 static PyObject *ecmmul_id(PyObject *me)
 897   { ec p = EC_INIT; return (ecpt_pywrap(me, &p)); }
 898
 899 static int ecmmul_fill(void *pp, PyObject *me, PyObject *x, PyObject *m)
 900 {
 901   ec_mulfactor *f = pp;
 902
 903   EC_CREATE(&f->base);
 904   if (getecpt(ECCURVE_C(me), &f->base, x) ||
 905       (f->exp = getmp(m)) == 0)
 906     return (-1);
 907   return (0);
 908 }
 909
 910 static PyObject *ecmmul_exp(PyObject *me, void *pp, int n)
 911 {
 912   ec p = EC_INIT;
 913   ec_immul(ECCURVE_C(me), &p, pp, n);
 914   return (ecpt_pywrap(me, &p));
 915 }
 916
 917 static void ecmmul_drop(void *pp)
 918 {
 919   ec_mulfactor *f = pp;
 920   EC_DESTROY(&f->base);
 921   MP_DROP(f->exp);
 922 }
 923
 924 static PyObject *ecmeth_mmul(PyObject *me, PyObject *arg)
 925 {
 926   return (mexp_common(me, arg, sizeof(ec_mulfactor),
 927                       ecmmul_id, ecmmul_fill, ecmmul_exp, ecmmul_drop));
 928 }
 929
 930 static void eccurve_pydealloc(PyObject *me)
 931 {
 932   ec_destroycurve(ECCURVE_C(me));
 933   Py_DECREF(ECCURVE_FOBJ(me));
 934   PyType_Type.tp_dealloc(me);
 935 }
 936
 937 static PyObject *ecmeth_find(PyObject *me, PyObject *arg)
 938 {
 939   PyObject *x;
 940   mp *xx = 0;
 941   ec p = EC_INIT;
 942   PyObject *rc = 0;
 943
 944   if (!PyArg_ParseTuple(arg, "O:find", &x)) goto end;
 945   if (FIELD_PYCHECK(x) && FE_F(x) == ECCURVE_C(me)->f)
 946     xx = MP_COPY(FE_X(x));
 947   else if ((xx = getmp(x)) == 0)
 948     goto end;
 949   else
 950     xx = F_IN(ECCURVE_C(me)->f, xx, xx);
 951   if (EC_FIND(ECCURVE_C(me), &p, xx) == 0)
 952     VALERR("not on the curve");
 953   rc = ecpt_pywrap(me, &p);
 954 end:
 955   if (xx) MP_DROP(xx);
 956   return (rc);
 957 }
 958
 959 static PyObject *ecmeth_rand(PyObject *me, PyObject *arg, PyObject *kw)
 960 {
 961   static const char *const kwlist[] = { "rng", 0 };
 962   grand *r = &rand_global;
 963   ec p = EC_INIT;
 964
 965   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&:rand", KWLIST,
 966                                    convgrand, &r))
 967     return (0);
 968   ec_rand(ECCURVE_C(me), &p, r);
 969   EC_IN(ECCURVE_C(me), &p, &p);
 970   return (ecpt_pywrap(me, &p));
 971 }
 972
 973 static PyObject *ecmeth_parse(PyObject *me, PyObject *arg)
 974 {
 975   char *p;
 976   qd_parse qd;
 977   ec_curve *c;
 978   PyObject *rc = 0;
 979
 980   if (!PyArg_ParseTuple(arg, "s:parse", &p)) goto end;
 981   qd.p = p; qd.e = 0;
 982   if ((c = ec_curveparse(&qd)) == 0) VALERR(qd.e);
 983   rc = eccurve_pywrap(0, c);
 984 end:
 985   return (rc);
 986 }
 987
 988 static PyObject *eccurve_dopywrap(PyTypeObject *ty,
 989                                   PyObject *fobj, ec_curve *c)
 990 {
 991   eccurve_pyobj *cobj = newtype(ty, 0, c->ops->name);
 992   cobj->c = c;
 993   cobj->fobj = fobj;
 994   cobj->ty.ht_type.tp_basicsize = sizeof(ecpt_pyobj);
 995   cobj->ty.ht_type.tp_base = ecptcurve_pytype;
 996   Py_INCREF(ecptcurve_pytype);
 997   cobj->ty.ht_type.tp_flags = (Py_TPFLAGS_DEFAULT |
 998                                Py_TPFLAGS_BASETYPE |
 999                                Py_TPFLAGS_CHECKTYPES |
1000                                Py_TPFLAGS_HEAPTYPE);
1001   cobj->ty.ht_type.tp_alloc = PyType_GenericAlloc;
1002   cobj->ty.ht_type.tp_free = 0;
1003   cobj->ty.ht_type.tp_new = ecpt_pynew;
1004   typeready(&cobj->ty.ht_type);
1005   return ((PyObject *)cobj);
1006 }
1007
1008 PyObject *eccurve_pywrap(PyObject *fobj, ec_curve *c)
1009 {
1010   PyTypeObject *ty;
1011
1012   if (!fobj)
1013     fobj = field_pywrap(c->f);
1014   else
1015     Py_INCREF(fobj);
1016   assert(FIELD_F(fobj) == c->f);
1017   if (STRCMP(EC_NAME(c), ==, "prime"))
1018     ty = ecprimecurve_pytype;
1019   else if (STRCMP(EC_NAME(c), ==, "primeproj"))
1020     ty = ecprimeprojcurve_pytype;
1021   else if (STRCMP(EC_NAME(c), ==, "bin"))
1022     ty = ecbincurve_pytype;
1023   else if (STRCMP(EC_NAME(c), ==, "binproj"))
1024     ty = ecbinprojcurve_pytype;
1025   else
1026     abort();
1027   return (eccurve_dopywrap(ty, fobj, c));
1028 }
1029
1030 static PyObject *eccurve_pynew(PyTypeObject *ty,
1031                                ec_curve *(*make)(field *, mp *, mp *),
1032                                PyObject *arg, PyObject *kw)
1033 {
1034   PyObject *fobj;
1035   PyObject *cobj = 0;
1036   static const char *const kwlist[] = { "field", "a", "b", 0 };
1037   mp *aa = 0, *bb = 0;
1038
1039   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O!O&O&", KWLIST,
1040                                    field_pytype, &fobj,
1041                                    convmp, &aa, convmp, &bb))
1042     goto end;
1043   Py_INCREF(fobj);
1044   cobj = eccurve_dopywrap(ty, fobj, make(FIELD_F(fobj), aa, bb));
1045 end:
1046   if (aa) MP_DROP(aa);
1047   if (bb) MP_DROP(bb);
1048   return (cobj);
1049 }
1050
1051 static PyObject *ecget_name(PyObject *me, void *hunoz)
1052   { return (TEXT_FROMSTR(EC_NAME(ECCURVE_C(me)))); }
1053
1054 static PyObject *ecget_a(PyObject *me, void *hunoz)
1055   { return (fe_pywrap(ECCURVE_FOBJ(me), MP_COPY(ECCURVE_C(me)->a))); }
1056
1057 static PyObject *ecget_b(PyObject *me, void *hunoz)
1058   { return (fe_pywrap(ECCURVE_FOBJ(me), MP_COPY(ECCURVE_C(me)->b))); }
1059
1060 static PyObject *ecget_field(PyObject *me, void *hunoz)
1061   { RETURN_OBJ(ECCURVE_FOBJ(me)); }
1062
1063 static PyObject *ecget_inf(PyObject *me, void *hunoz)
1064   { ec inf = EC_INIT; return (ecpt_pywrap(me, &inf)); }
1065
1066 static const PyGetSetDef eccurve_pygetset[] = {
1067 #define GETSETNAME(op, name) ec##op##_##name
1068   GET   (name,          "E.name -> name of this kind of curve")
1069   GET   (a,             "E.a -> first parameter of curve")
1070   GET   (b,             "E.b -> second parameter of curve")
1071   GET   (field,         "E.field -> finite field containing this curve")
1072   GET   (inf,           "E.inf -> point at infinity of this curve")
1073 #undef GETSETNAME
1074   { 0 }
1075 };
1076
1077 static const PyMethodDef eccurve_pymethods[] = {
1078 #define METHNAME(name) ecmeth_##name
1079   METH  (mmul,     "E.mmul([(P0, N0), (P1, N1), ...]) = N0 P0 + N1 P1 + ...")
1080   METH  (find,          "E.find(X) -> P")
1081   KWMETH(rand,          "E.rand([rng = rand]) -> P")
1082   SMTH  (parse,         "parse(STR) -> (E, REST)")
1083 #undef METHNAME
1084   { 0 }
1085 };
1086
1087 static const PyTypeObject eccurve_pytype_skel = {
1088   PyVarObject_HEAD_INIT(0, 0)           /* Header */
1089   "ECCurve",                            /* @tp_name@ */
1090   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1091   0,                                    /* @tp_itemsize@ */
1092
1093   eccurve_pydealloc,                    /* @tp_dealloc@ */
1094   0,                                    /* @tp_print@ */
1095   0,                                    /* @tp_getattr@ */
1096   0,                                    /* @tp_setattr@ */
1097   0,                                    /* @tp_compare@ */
1098   0,                                    /* @tp_repr@ */
1099   0,                                    /* @tp_as_number@ */
1100   0,                                    /* @tp_as_sequence@ */
1101   0,                                    /* @tp_as_mapping@ */
1102   0,                                    /* @tp_hash@ */
1103   0,                                    /* @tp_call@ */
1104   0,                                    /* @tp_str@ */
1105   0,                                    /* @tp_getattro@ */
1106   0,                                    /* @tp_setattro@ */
1107   0,                                    /* @tp_as_buffer@ */
1108   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1109     Py_TPFLAGS_BASETYPE,
1110
1111   /* @tp_doc@ */
1112   "An elliptic curve.  Abstract class.",
1113
1114   0,                                    /* @tp_traverse@ */
1115   0,                                    /* @tp_clear@ */
1116   eccurve_pyrichcompare,                /* @tp_richcompare@ */
1117   0,                                    /* @tp_weaklistoffset@ */
1118   0,                                    /* @tp_iter@ */
1119   0,                                    /* @tp_iternext@ */
1120   PYMETHODS(eccurve),                   /* @tp_methods@ */
1121   0,                                    /* @tp_members@ */
1122   PYGETSET(eccurve),                    /* @tp_getset@ */
1123   0,                                    /* @tp_base@ */
1124   0,                                    /* @tp_dict@ */
1125   0,                                    /* @tp_descr_get@ */
1126   0,                                    /* @tp_descr_set@ */
1127   0,                                    /* @tp_dictoffset@ */
1128   0,                                    /* @tp_init@ */
1129   PyType_GenericAlloc,                  /* @tp_alloc@ */
1130   abstract_pynew,                       /* @tp_new@ */
1131   0,                                    /* @tp_free@ */
1132   0                                     /* @tp_is_gc@ */
1133 };
1134
1135 static PyObject *ecprimecurve_pynew(PyTypeObject *ty,
1136                                     PyObject *arg, PyObject *kw)
1137 {
1138   return (eccurve_pynew(ty, ec_prime, arg, kw));
1139 }
1140
1141 static const PyTypeObject ecprimecurve_pytype_skel = {
1142   PyVarObject_HEAD_INIT(0, 0)           /* Header */
1143   "ECPrimeCurve",                       /* @tp_name@ */
1144   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1145   0,                                    /* @tp_itemsize@ */
1146
1147   eccurve_pydealloc,                    /* @tp_dealloc@ */
1148   0,                                    /* @tp_print@ */
1149   0,                                    /* @tp_getattr@ */
1150   0,                                    /* @tp_setattr@ */
1151   0,                                    /* @tp_compare@ */
1152   0,                                    /* @tp_repr@ */
1153   0,                                    /* @tp_as_number@ */
1154   0,                                    /* @tp_as_sequence@ */
1155   0,                                    /* @tp_as_mapping@ */
1156   0,                                    /* @tp_hash@ */
1157   0,                                    /* @tp_call@ */
1158   0,                                    /* @tp_str@ */
1159   0,                                    /* @tp_getattro@ */
1160   0,                                    /* @tp_setattro@ */
1161   0,                                    /* @tp_as_buffer@ */
1162   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1163     Py_TPFLAGS_BASETYPE,
1164
1165   /* @tp_doc@ */
1166   "ECPrimeCurve(FIELD, A, B): an elliptic curve over a prime field.\n"
1167   "  Use ECPrimeProjCurve instead.",
1168
1169   0,                                    /* @tp_traverse@ */
1170   0,                                    /* @tp_clear@ */
1171   0,                                    /* @tp_richcompare@ */
1172   0,                                    /* @tp_weaklistoffset@ */
1173   0,                                    /* @tp_iter@ */
1174   0,                                    /* @tp_iternext@ */
1175   0,                                    /* @tp_methods@ */
1176   0,                                    /* @tp_members@ */
1177   0,                                    /* @tp_getset@ */
1178   0,                                    /* @tp_base@ */
1179   0,                                    /* @tp_dict@ */
1180   0,                                    /* @tp_descr_get@ */
1181   0,                                    /* @tp_descr_set@ */
1182   0,                                    /* @tp_dictoffset@ */
1183   0,                                    /* @tp_init@ */
1184   PyType_GenericAlloc,                  /* @tp_alloc@ */
1185   ecprimecurve_pynew,                   /* @tp_new@ */
1186   0,                                    /* @tp_free@ */
1187   0                                     /* @tp_is_gc@ */
1188 };
1189
1190 static PyObject *ecprimeprojcurve_pynew(PyTypeObject *ty,
1191                                         PyObject *arg, PyObject *kw)
1192 {
1193   return (eccurve_pynew(ty, ec_primeproj, arg, kw));
1194 }
1195
1196 static const PyTypeObject ecprimeprojcurve_pytype_skel = {
1197   PyVarObject_HEAD_INIT(0, 0)           /* Header */
1198   "ECPrimeProjCurve",                   /* @tp_name@ */
1199   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1200   0,                                    /* @tp_itemsize@ */
1201
1202   eccurve_pydealloc,                    /* @tp_dealloc@ */
1203   0,                                    /* @tp_print@ */
1204   0,                                    /* @tp_getattr@ */
1205   0,                                    /* @tp_setattr@ */
1206   0,                                    /* @tp_compare@ */
1207   0,                                    /* @tp_repr@ */
1208   0,                                    /* @tp_as_number@ */
1209   0,                                    /* @tp_as_sequence@ */
1210   0,                                    /* @tp_as_mapping@ */
1211   0,                                    /* @tp_hash@ */
1212   0,                                    /* @tp_call@ */
1213   0,                                    /* @tp_str@ */
1214   0,                                    /* @tp_getattro@ */
1215   0,                                    /* @tp_setattro@ */
1216   0,                                    /* @tp_as_buffer@ */
1217   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1218     Py_TPFLAGS_BASETYPE,
1219
1220   /* @tp_doc@ */
1221   "ECPrimeProjCurve(FIELD, A, B): an elliptic curve over a prime field\n"
1222   "  using projective coordinates.",
1223
1224   0,                                    /* @tp_traverse@ */
1225   0,                                    /* @tp_clear@ */
1226   0,                                    /* @tp_richcompare@ */
1227   0,                                    /* @tp_weaklistoffset@ */
1228   0,                                    /* @tp_iter@ */
1229   0,                                    /* @tp_iternext@ */
1230   0,                                    /* @tp_methods@ */
1231   0,                                    /* @tp_members@ */
1232   0,                                    /* @tp_getset@ */
1233   0,                                    /* @tp_base@ */
1234   0,                                    /* @tp_dict@ */
1235   0,                                    /* @tp_descr_get@ */
1236   0,                                    /* @tp_descr_set@ */
1237   0,                                    /* @tp_dictoffset@ */
1238   0,                                    /* @tp_init@ */
1239   PyType_GenericAlloc,                  /* @tp_alloc@ */
1240   ecprimeprojcurve_pynew,               /* @tp_new@ */
1241   0,                                    /* @tp_free@ */
1242   0                                     /* @tp_is_gc@ */
1243 };
1244
1245 static PyObject *ecbincurve_pynew(PyTypeObject *ty,
1246                                   PyObject *arg, PyObject *kw)
1247 {
1248   return (eccurve_pynew(ty, ec_bin, arg, kw));
1249 }
1250
1251 static const PyTypeObject ecbincurve_pytype_skel = {
1252   PyVarObject_HEAD_INIT(0, 0)           /* Header */
1253   "ECBinCurve",                         /* @tp_name@ */
1254   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1255   0,                                    /* @tp_itemsize@ */
1256
1257   eccurve_pydealloc,                    /* @tp_dealloc@ */
1258   0,                                    /* @tp_print@ */
1259   0,                                    /* @tp_getattr@ */
1260   0,                                    /* @tp_setattr@ */
1261   0,                                    /* @tp_compare@ */
1262   0,                                    /* @tp_repr@ */
1263   0,                                    /* @tp_as_number@ */
1264   0,                                    /* @tp_as_sequence@ */
1265   0,                                    /* @tp_as_mapping@ */
1266   0,                                    /* @tp_hash@ */
1267   0,                                    /* @tp_call@ */
1268   0,                                    /* @tp_str@ */
1269   0,                                    /* @tp_getattro@ */
1270   0,                                    /* @tp_setattro@ */
1271   0,                                    /* @tp_as_buffer@ */
1272   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1273     Py_TPFLAGS_BASETYPE,
1274
1275   /* @tp_doc@ */
1276   "ECBinCurve(FIELD, A, B): an elliptic curve over a binary field.\n"
1277   "  Use ECBinProjCurve instead.",
1278
1279   0,                                    /* @tp_traverse@ */
1280   0,                                    /* @tp_clear@ */
1281   0,                                    /* @tp_richcompare@ */
1282   0,                                    /* @tp_weaklistoffset@ */
1283   0,                                    /* @tp_iter@ */
1284   0,                                    /* @tp_iternext@ */
1285   0,                                    /* @tp_methods@ */
1286   0,                                    /* @tp_members@ */
1287   0,                                    /* @tp_getset@ */
1288   0,                                    /* @tp_base@ */
1289   0,                                    /* @tp_dict@ */
1290   0,                                    /* @tp_descr_get@ */
1291   0,                                    /* @tp_descr_set@ */
1292   0,                                    /* @tp_dictoffset@ */
1293   0,                                    /* @tp_init@ */
1294   PyType_GenericAlloc,                  /* @tp_alloc@ */
1295   ecbincurve_pynew,                     /* @tp_new@ */
1296   0,                                    /* @tp_free@ */
1297   0                                     /* @tp_is_gc@ */
1298 };
1299
1300 static PyObject *ecbinprojcurve_pynew(PyTypeObject *ty,
1301                                       PyObject *arg, PyObject *kw)
1302 {
1303   return (eccurve_pynew(ty, ec_binproj, arg, kw));
1304 }
1305
1306 static const PyTypeObject ecbinprojcurve_pytype_skel = {
1307   PyVarObject_HEAD_INIT(0, 0)           /* Header */
1308   "ECBinProjCurve",                     /* @tp_name@ */
1309   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1310   0,                                    /* @tp_itemsize@ */
1311
1312   eccurve_pydealloc,                    /* @tp_dealloc@ */
1313   0,                                    /* @tp_print@ */
1314   0,                                    /* @tp_getattr@ */
1315   0,                                    /* @tp_setattr@ */
1316   0,                                    /* @tp_compare@ */
1317   0,                                    /* @tp_repr@ */
1318   0,                                    /* @tp_as_number@ */
1319   0,                                    /* @tp_as_sequence@ */
1320   0,                                    /* @tp_as_mapping@ */
1321   0,                                    /* @tp_hash@ */
1322   0,                                    /* @tp_call@ */
1323   0,                                    /* @tp_str@ */
1324   0,                                    /* @tp_getattro@ */
1325   0,                                    /* @tp_setattro@ */
1326   0,                                    /* @tp_as_buffer@ */
1327   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1328     Py_TPFLAGS_BASETYPE,
1329
1330   /* @tp_doc@ */
1331   "ECBinProjCurve(FIELD, A, B): an elliptic curve over a binary field,\n"
1332   "  using projective coordinates.",
1333
1334   0,                                    /* @tp_traverse@ */
1335   0,                                    /* @tp_clear@ */
1336   0,                                    /* @tp_richcompare@ */
1337   0,                                    /* @tp_weaklistoffset@ */
1338   0,                                    /* @tp_iter@ */
1339   0,                                    /* @tp_iternext@ */
1340   0,                                    /* @tp_methods@ */
1341   0,                                    /* @tp_members@ */
1342   0,                                    /* @tp_getset@ */
1343   0,                                    /* @tp_base@ */
1344   0,                                    /* @tp_dict@ */
1345   0,                                    /* @tp_descr_get@ */
1346   0,                                    /* @tp_descr_set@ */
1347   0,                                    /* @tp_dictoffset@ */
1348   0,                                    /* @tp_init@ */
1349   PyType_GenericAlloc,                  /* @tp_alloc@ */
1350   ecbinprojcurve_pynew,                 /* @tp_new@ */
1351   0,                                    /* @tp_free@ */
1352   0                                     /* @tp_is_gc@ */
1353 };
1354
1355 /*----- Curve info --------------------------------------------------------*/
1356
1357 void ecinfo_copy(ec_info *eic, const ec_info *ei)
1358 {
1359   eic->c = eccurve_copy(ei->c);
1360   EC_CREATE(&eic->g);
1361   EC_COPY(&eic->g, &ei->g);
1362   eic->r = MP_COPY(ei->r);
1363   eic->h = MP_COPY(ei->h);
1364 }
1365
1366 PyObject *ecinfo_pywrap(ec_info *ei)
1367 {
1368   ecinfo_pyobj *o;
1369
1370   o = PyObject_NEW(ecinfo_pyobj, ecinfo_pytype);
1371   o->ei = *ei;
1372   o->cobj = eccurve_pywrap(0, o->ei.c);
1373   Py_INCREF(o->cobj);
1374   return ((PyObject *)o);
1375 }
1376
1377 static void ecinfo_pydealloc(PyObject *me)
1378 {
1379   ec_info *ei = ECINFO_EI(me);
1380   EC_DESTROY(&ei->g);
1381   MP_DROP(ei->r);
1382   MP_DROP(ei->h);
1383   Py_DECREF(ECINFO_COBJ(me));
1384   FREEOBJ(me);
1385 }
1386
1387 static PyObject *ecinfo_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1388 {
1389   ec_info ei = { 0 };
1390   PyObject *e, *g;
1391   static const char *const kwlist[] = { "curve", "G", "r", "h", 0 };
1392   ecinfo_pyobj *rc = 0;
1393
1394   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O!O!O&O&:new", KWLIST,
1395                                    eccurve_pytype, &e, ecpt_pytype, &g,
1396                                    convmp, &ei.r, convmp, &ei.h))
1397     goto end;
1398   if (ECPT_C(g) != ECCURVE_C(e) && !ec_samep(ECPT_C(g), ECCURVE_C(e)))
1399     TYERR("point not from this curve");
1400   ei.c = ECCURVE_C(e);
1401   EC_CREATE(&ei.g);
1402   EC_OUT(ei.c, &ei.g, ECPT_P(g));
1403   rc = (ecinfo_pyobj *)ty->tp_alloc(ty, 0);
1404   rc->ei = ei;
1405   rc->cobj = e;
1406   Py_INCREF(rc->cobj);
1407   return ((PyObject *)rc);
1408
1409 end:
1410   mp_drop(ei.r);
1411   mp_drop(ei.h);
1412   return (0);
1413 }
1414
1415 static PyObject *eimeth_parse(PyObject *me, PyObject *arg)
1416 {
1417   char *p;
1418   qd_parse qd;
1419   ec_info ei;
1420   PyObject *rc = 0;
1421
1422   if (!PyArg_ParseTuple(arg, "s:parse", &p)) goto end;
1423   qd.p = p; qd.e = 0;
1424   if (ec_infoparse(&qd, &ei)) VALERR(qd.e);
1425   rc = Py_BuildValue("(Ns)", ecinfo_pywrap(&ei), qd.p);
1426 end:
1427   return (rc);
1428 }
1429
1430 static PyObject *ecinfo_pyrichcompare(PyObject *x, PyObject *y, int op)
1431 {
1432   int b = ec_sameinfop(ECINFO_EI(x), ECINFO_EI(y));
1433   switch (op) {
1434     case Py_EQ: break;
1435     case Py_NE: b = !b;
1436     default: TYERR("can't order elliptic curve infos");
1437   }
1438   return (getbool(b));
1439 end:
1440   return (0);
1441 }
1442
1443 static PyObject *eimeth_check(PyObject *me, PyObject *arg, PyObject *kw)
1444 {
1445   static const char *const kwlist[] = { "rng", 0 };
1446   grand *r = &rand_global;
1447   const char *p;
1448
1449   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&:check", KWLIST,
1450                                    convgrand, &r))
1451     goto end;
1452   if ((p = ec_checkinfo(ECINFO_EI(me), r)) != 0)
1453     VALERR(p);
1454   RETURN_ME;
1455 end:
1456   return (0);
1457 }
1458
1459 static PyObject *eiget_curve(PyObject *me, void *hunoz)
1460   { RETURN_OBJ(ECINFO_COBJ(me)); }
1461
1462 static PyObject *eiget_G(PyObject *me, void *hunoz)
1463 {
1464   ec_info *ei = ECINFO_EI(me);
1465   ec p = EC_INIT;
1466   EC_IN(ei->c, &p, &ei->g);
1467   return (ecpt_pywrap(ECINFO_COBJ(me), &p));
1468 }
1469
1470 static PyObject *eiget_r(PyObject *me, void *hunoz)
1471   { return (mp_pywrap(MP_COPY(ECINFO_EI(me)->r))); }
1472
1473 static PyObject *eiget_h(PyObject *me, void *hunoz)
1474   { return (mp_pywrap(MP_COPY(ECINFO_EI(me)->h))); }
1475
1476 static const PyGetSetDef ecinfo_pygetset[] = {
1477 #define GETSETNAME(op, name) ei##op##_##name
1478   GET   (curve,         "I.curve -> the elliptic curve")
1479   GET   (G,             "I.G -> generator point for the group")
1480   GET   (r,             "I.r -> order of the group (and hence of G")
1481   GET   (h,             "I.h -> cofactor of the group")
1482 #undef GETSETNAME
1483   { 0 }
1484 };
1485
1486 static const PyMethodDef ecinfo_pymethods[] = {
1487 #define METHNAME(name) eimeth_##name
1488   KWMETH(check,         "I.check([rng = rand]) -> None")
1489   SMTH  (parse,         "parse(STR) -> (I, REST)")
1490 #undef METHNAME
1491   { 0 }
1492 };
1493
1494 static const PyTypeObject ecinfo_pytype_skel = {
1495   PyVarObject_HEAD_INIT(0, 0)           /* Header */
1496   "ECInfo",                             /* @tp_name@ */
1497   sizeof(ecinfo_pyobj),                 /* @tp_basicsize@ */
1498   0,                                    /* @tp_itemsize@ */
1499
1500   ecinfo_pydealloc,                     /* @tp_dealloc@ */
1501   0,                                    /* @tp_print@ */
1502   0,                                    /* @tp_getattr@ */
1503   0,                                    /* @tp_setattr@ */
1504   0,                                    /* @tp_compare@ */
1505   0,                                    /* @tp_repr@ */
1506   0,                                    /* @tp_as_number@ */
1507   0,                                    /* @tp_as_sequence@ */
1508   0,                                    /* @tp_as_mapping@ */
1509   0,                                    /* @tp_hash@ */
1510   0,                                    /* @tp_call@ */
1511   0,                                    /* @tp_str@ */
1512   0,                                    /* @tp_getattro@ */
1513   0,                                    /* @tp_setattro@ */
1514   0,                                    /* @tp_as_buffer@ */
1515   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1516     Py_TPFLAGS_BASETYPE,
1517
1518   /* @tp_doc@ */
1519   "ECInfo(CURVE, G, R, H): elliptic curve domain parameters.",
1520
1521   0,                                    /* @tp_traverse@ */
1522   0,                                    /* @tp_clear@ */
1523   ecinfo_pyrichcompare,                 /* @tp_richcompare@ */
1524   0,                                    /* @tp_weaklistoffset@ */
1525   0,                                    /* @tp_iter@ */
1526   0,                                    /* @tp_iternext@ */
1527   PYMETHODS(ecinfo),                    /* @tp_methods@ */
1528   0,                                    /* @tp_members@ */
1529   PYGETSET(ecinfo),                     /* @tp_getset@ */
1530   0,                                    /* @tp_base@ */
1531   0,                                    /* @tp_dict@ */
1532   0,                                    /* @tp_descr_get@ */
1533   0,                                    /* @tp_descr_set@ */
1534   0,                                    /* @tp_dictoffset@ */
1535   0,                                    /* @tp_init@ */
1536   PyType_GenericAlloc,                  /* @tp_alloc@ */
1537   ecinfo_pynew,                         /* @tp_new@ */
1538   0,                                    /* @tp_free@ */
1539   0                                     /* @tp_is_gc@ */
1540 };
1541
1542 /*----- Setup -------------------------------------------------------------*/
1543
1544 static const struct nameval consts[] = {
1545   CONST(EC_XONLY), CONST(EC_YBIT), CONST(EC_LSB),
1546   CONST(EC_CMPR), CONST(EC_EXPLY), CONST(EC_SORT),
1547   { 0 }
1548 };
1549
1550 void ec_pyinit(void)
1551 {
1552   INITTYPE(ecpt, root);
1553   INITTYPE(ecptcurve, ecpt);
1554   INITTYPE(eccurve, type);
1555   INITTYPE(ecprimecurve, eccurve);
1556   INITTYPE(ecprimeprojcurve, ecprimecurve);
1557   INITTYPE(ecbincurve, eccurve);
1558   INITTYPE(ecbinprojcurve, ecbincurve);
1559   INITTYPE(ecinfo, root);
1560 }
1561
1562 static const char *ec_namefn(const void *p)
1563   { const ecentry *ec = p; return (ec->name); }
1564
1565 static int ec_ixfn(const void *p)
1566 {
1567   const ecentry *ec = p;
1568   int i;
1569
1570   for (i = 0; ectab[i].name; i++)
1571     if (ectab[i].data == ec->data) return (i);
1572   return (-1);
1573 }
1574
1575 static PyObject *ec_valfn(int i)
1576 {
1577   ec_info ei;
1578
1579   ec_infofromdata(&ei, ectab[i].data);
1580   return (ecinfo_pywrap(&ei));
1581 }
1582
1583 void ec_pyinsert(PyObject *mod)
1584 {
1585   INSERT("ECPt", ecpt_pytype);
1586   INSERT("ECPtCurve", ecptcurve_pytype);
1587   INSERT("ECCurve", eccurve_pytype);
1588   INSERT("ECPrimeCurve", ecprimecurve_pytype);
1589   INSERT("ECPrimeProjCurve", ecprimeprojcurve_pytype);
1590   INSERT("ECBinCurve", ecbincurve_pytype);
1591   INSERT("ECBinProjCurve", ecbinprojcurve_pytype);
1592   INSERT("ECInfo", ecinfo_pytype);
1593   INSERT("eccurves", make_grouptab(ectab, sizeof(*ectab),
1594                                    ec_namefn, ec_ixfn, ec_valfn));
1595   setconstants(mod, consts);
1596 }
1597
1598 /*----- That's all, folks -------------------------------------------------*/