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     goto fix;
 529   } else if (c && (xx = tomp(x)) != 0) {
 530     xx = F_IN(c->f, xx, xx);
 531     if (!EC_FIND(c, p, xx)) VALERR("not on the curve");
 532   } else if (PySequence_Check(x)) {
 533     t = x; x = 0;
 534     n = PySequence_Size(t); if (n < 0) goto end;
 535     if (n != 2 && (n != 3 || !c))
 536       TYERR("want sequence of two or three items");
 537     if ((x = PySequence_GetItem(t, 0)) == 0 ||
 538         (y = PySequence_GetItem(t, 1)) == 0 ||
 539         (n == 3 && (z = PySequence_GetItem(t, 2)) == 0))
 540       goto end;
 541     rc = (n == 2) ? ecptxl_2(c, p, x, y) : ecptxl_3(c, p, x, y, z);
 542     goto end;
 543   } else
 544     TYERR("can't convert to curve point");
 545   goto ok;
 546
 547 fix:
 548   if (c) EC_IN(c, p, p);
 549 ok:
 550   rc = 0;
 551 end:
 552   Py_XDECREF(x); Py_XDECREF(y); Py_XDECREF(z); Py_XDECREF(t);
 553   mp_drop(xx);
 554   return (rc);
 555 }
 556
 557 static int ecptxl(ec_curve *c, ec *p, PyObject *x, PyObject *y, PyObject *z)
 558 {
 559   if (z)
 560     return (ecptxl_3(c, p, x, y, z));
 561   else if (y)
 562     return (ecptxl_2(c, p, x, y));
 563   else
 564     return (ecptxl_1(c, p, x));
 565 }
 566
 567 static PyObject *ecptnc_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
 568 {
 569   PyObject *x = 0, *y = 0, *z = 0;
 570   ec p = EC_INIT;
 571   static const char *const kwlist[] = { "x", "y", 0 };
 572
 573   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|OO:new", KWLIST, &x, &y) ||
 574       ecptxl(0, &p, x, y, z))
 575     goto end;
 576   return (ecpt_pywrapout(ty, &p));
 577 end:
 578   mp_drop(p.x); mp_drop(p.y); mp_drop(p.z);
 579   return (0);
 580 }
 581
 582 static PyObject *ecpt_pyint(PyObject *me)
 583 {
 584   ec p = EC_INIT;
 585   long l;
 586   PyObject *rc = 0;
 587   if (EC_ATINF(ECPT_P(me))) VALERR("point at infinity");
 588   getecptout(&p, me);
 589   if (!mp_tolong_checked(p.x, &l, 0)) rc = PyInt_FromLong(l);
 590   else rc = mp_topylong(p.x);
 591 end:
 592   EC_DESTROY(&p);
 593   return (rc);
 594 }
 595
 596 #ifdef PY2
 597 static PyObject *ecpt_pylong(PyObject *me)
 598 {
 599   ec p = EC_INIT;
 600   PyObject *rc = 0;
 601   if (EC_ATINF(ECPT_P(me))) VALERR("point at infinity");
 602   getecptout(&p, me);
 603   rc = mp_topylong(p.x);
 604 end:
 605   EC_DESTROY(&p);
 606   return (rc);
 607 }
 608 #endif
 609
 610 static PyObject *ecpt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
 611 {
 612   PyObject *x = 0, *y = 0, *z = 0;
 613   ec p = EC_INIT;
 614   static const char *const kwlist[] = { "x", "y", "z", 0 };
 615
 616   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|OOO:new", KWLIST,
 617                                    &x, &y, &z) ||
 618       ecptxl(ECCURVE_C(ty), &p, x, y, z))
 619     goto end;
 620   return (ecpt_pywrap((PyObject *)ty, &p));
 621 end:
 622   mp_drop(p.x); mp_drop(p.y); mp_drop(p.z);
 623   return (0);
 624 }
 625
 626 static const PyGetSetDef ecptnc_pygetset[] = {
 627 #define GETSETNAME(op, name) epnc##op##_##name
 628   GET   (ix,            "P.ix -> integer x coordinate of P")
 629   GET   (iy,            "P.iy -> integer y coordinate of P")
 630   GET   (point,         "P.point -> standalone curve point (no-op)")
 631 #undef GETSETNAME
 632   { 0 }
 633 };
 634
 635 static const PyMethodDef ecptnc_pymethods[] = {
 636 #define METHNAME(func) epmeth_##func
 637   NAMETH(tobuf,         "X.tobuf() -> BIN")
 638   CMTH  (frombuf,       "frombuf(STR) -> (P, REST)")
 639   CMTH  (parse,         "parse(STR) -> (P, REST)")
 640 #undef METHNAME
 641   { 0 }
 642 };
 643
 644 static const PyNumberMethods ecpt_pynumber = {
 645   0,                                    /* @nb_add@ */
 646   0,                                    /* @nb_subtract@ */
 647   0,                                    /* @nb_multiply@ */
 648 #ifdef PY2
 649   0,                                    /* @nb_divide@ */
 650 #endif
 651   0,                                    /* @nb_remainder@ */
 652   0,                                    /* @nb_divmod@ */
 653   0,                                    /* @nb_power@ */
 654   0,                                    /* @nb_negative@ */
 655   0,                                    /* @nb_positive@ */
 656   0,                                    /* @nb_absolute@ */
 657   ecpt_pynonzerop,                      /* @nb_nonzero@ */
 658   0,                                    /* @nb_invert@ */
 659   0,                                    /* @nb_lshift@ */
 660   0,                                    /* @nb_rshift@ */
 661   0,                                    /* @nb_and@ */
 662   0,                                    /* @nb_xor@ */
 663   0,                                    /* @nb_or@ */
 664 #ifdef PY2
 665   0,                                    /* @nb_coerce@ */
 666 #endif
 667   ecpt_pyint,                           /* @nb_int@ */
 668   PY23(ecpt_pylong, 0),                 /* @nb_long@ */
 669   0,                                    /* @nb_float@ */
 670 #ifdef PY2
 671   0,                                    /* @nb_oct@ */
 672   0,                                    /* @nb_hex@ */
 673 #endif
 674
 675   0,                                    /* @nb_inplace_add@ */
 676   0,                                    /* @nb_inplace_subtract@ */
 677   0,                                    /* @nb_inplace_multiply@ */
 678 #ifdef PY2
 679   0,                                    /* @nb_inplace_divide@ */
 680 #endif
 681   0,                                    /* @nb_inplace_remainder@ */
 682   0,                                    /* @nb_inplace_power@ */
 683   0,                                    /* @nb_inplace_lshift@ */
 684   0,                                    /* @nb_inplace_rshift@ */
 685   0,                                    /* @nb_inplace_and@ */
 686   0,                                    /* @nb_inplace_xor@ */
 687   0,                                    /* @nb_inplace_or@ */
 688
 689   0,                                    /* @nb_floor_divide@ */
 690   0,                                    /* @nb_true_divide@ */
 691   0,                                    /* @nb_inplace_floor_divide@ */
 692   0,                                    /* @nb_inplace_true_divide@ */
 693 };
 694
 695 static const PyTypeObject ecpt_pytype_skel = {
 696   PyVarObject_HEAD_INIT(0, 0)           /* Header */
 697   "ECPt",                               /* @tp_name@ */
 698   sizeof(ecpt_pyobj),                   /* @tp_basicsize@ */
 699   0,                                    /* @tp_itemsize@ */
 700
 701   ecpt_pydealloc,                       /* @tp_dealloc@ */
 702   0,                                    /* @tp_print@ */
 703   0,                                    /* @tp_getattr@ */
 704   0,                                    /* @tp_setattr@ */
 705   0,                                    /* @tp_compare@ */
 706   0,                                    /* @tp_repr@ */
 707   PYNUMBER(ecpt),                       /* @tp_as_number@ */
 708   0,                                    /* @tp_as_sequence@ */
 709   0,                                    /* @tp_as_mapping@ */
 710   ecpt_pyhash,                          /* @tp_hash@ */
 711   0,                                    /* @tp_call@ */
 712   0,                                    /* @tp_str@ */
 713   0,                                    /* @tp_getattro@ */
 714   0,                                    /* @tp_setattro@ */
 715   0,                                    /* @tp_as_buffer@ */
 716   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 717     Py_TPFLAGS_CHECKTYPES |
 718     Py_TPFLAGS_BASETYPE,
 719
 720   /* @tp_doc@ */
 721   "ECPt([X, [Y]]): elliptic curve points, not associated with any curve.\n"
 722   "  X alone may be None, an existing point, a string 'X, Y', an\n"
 723   "  x-coordinate, or a pair (X, Y); X and Y should be a coordinate pair.",
 724
 725   0,                                    /* @tp_traverse@ */
 726   0,                                    /* @tp_clear@ */
 727   ecpt_pyrichcompare,                   /* @tp_richcompare@ */
 728   0,                                    /* @tp_weaklistoffset@ */
 729   0,                                    /* @tp_iter@ */
 730   0,                                    /* @tp_iternext@ */
 731   PYMETHODS(ecptnc),                    /* @tp_methods@ */
 732   0,                                    /* @tp_members@ */
 733   PYGETSET(ecptnc),                     /* @tp_getset@ */
 734   0,                                    /* @tp_base@ */
 735   0,                                    /* @tp_dict@ */
 736   0,                                    /* @tp_descr_get@ */
 737   0,                                    /* @tp_descr_set@ */
 738   0,                                    /* @tp_dictoffset@ */
 739   0,                                    /* @tp_init@ */
 740   PyType_GenericAlloc,                  /* @tp_alloc@ */
 741   ecptnc_pynew,                         /* @tp_new@ */
 742   0,                                    /* @tp_free@ */
 743   0                                     /* @tp_is_gc@ */
 744 };
 745
 746 static const PyMemberDef ecpt_pymembers[] = {
 747 #define MEMBERSTRUCT ecpt_pyobj
 748   MEMRNM(curve, T_OBJECT, PY23(ob_type, ob_base.ob_type), READONLY,
 749                                     "P.curve -> elliptic curve containing P")
 750 #undef MEMBERSTRUCT
 751   { 0 }
 752 };
 753
 754 static const PyGetSetDef ecpt_pygetset[] = {
 755 #define GETSETNAME(op, name) ep##op##_##name
 756   GET   (point,         "P.point -> standalone curve point")
 757   GET   (x,             "P.x -> Cartesian x coordinate of P")
 758   GET   (y,             "P.y -> Cartesian y coordinate of P")
 759   GET   (_x,            "P._x -> internal x coordinate of P")
 760   GET   (_y,            "P._y -> internal y coordinate of P")
 761   GET   (_z,            "P._z -> internal z coordinate of P, or None")
 762 #undef GETSETNAME
 763   { 0 }
 764 };
 765
 766 static const PyMethodDef ecpt_pymethods[] = {
 767 #define METHNAME(func) epmeth_##func
 768   NAMETH(toraw,         "X.toraw() -> BIN")
 769   KWMETH(ec2osp,        "X.ec2osp([flags = EC_EXPLY]) -> BIN")
 770   NAMETH(dbl,           "X.dbl() -> X + X")
 771   NAMETH(oncurvep,      "X.oncurvep() -> BOOL")
 772   CMTH  (fromraw,       "fromraw(STR) -> (P, REST)")
 773   KWCMTH(os2ecp,        "os2ecp(STR, [flags = ...]) -> (P, REST)")
 774 #undef METHNAME
 775   { 0 }
 776 };
 777
 778 static const PyNumberMethods ecptcurve_pynumber = {
 779   ecpt_pyadd,                           /* @nb_add@ */
 780   ecpt_pysub,                           /* @nb_subtract@ */
 781   ecpt_pymul,                           /* @nb_multiply@ */
 782 #ifdef PY2
 783   0,                                    /* @nb_divide@ */
 784 #endif
 785   0,                                    /* @nb_remainder@ */
 786   0,                                    /* @nb_divmod@ */
 787   0,                                    /* @nb_power@ */
 788   ecpt_pyneg,                           /* @nb_negative@ */
 789   ecpt_pyid,                            /* @nb_positive@ */
 790   0,                                    /* @nb_absolute@ */
 791   0,                                    /* @nb_nonzero@ */
 792   0,                                    /* @nb_invert@ */
 793   0,                                    /* @nb_lshift@ */
 794   0,                                    /* @nb_rshift@ */
 795   0,                                    /* @nb_and@ */
 796   0,                                    /* @nb_xor@ */
 797   0,                                    /* @nb_or@ */
 798 #ifdef PY2
 799   0,                                    /* @nb_coerce@ */
 800 #endif
 801   0,                                    /* @nb_int@ */
 802   0,                                    /* @nb_long@ */
 803   0,                                    /* @nb_float@ */
 804 #ifdef PY2
 805   0,                                    /* @nb_oct@ */
 806   0,                                    /* @nb_hex@ */
 807 #endif
 808
 809   0,                                    /* @nb_inplace_add@ */
 810   0,                                    /* @nb_inplace_subtract@ */
 811   0,                                    /* @nb_inplace_multiply@ */
 812   0,                                    /* @nb_inplace_divide@ */
 813   0,                                    /* @nb_inplace_remainder@ */
 814   0,                                    /* @nb_inplace_power@ */
 815   0,                                    /* @nb_inplace_lshift@ */
 816   0,                                    /* @nb_inplace_rshift@ */
 817   0,                                    /* @nb_inplace_and@ */
 818   0,                                    /* @nb_inplace_xor@ */
 819   0,                                    /* @nb_inplace_or@ */
 820
 821   0,                                    /* @nb_floor_divide@ */
 822   0,                                    /* @nb_true_divide@ */
 823   0,                                    /* @nb_inplace_floor_divide@ */
 824   0,                                    /* @nb_inplace_true_divide@ */
 825 };
 826
 827 static const PyTypeObject ecptcurve_pytype_skel = {
 828   PyVarObject_HEAD_INIT(0, 0)           /* Header */
 829   "ECPtCurve",                          /* @tp_name@ */
 830   sizeof(ecpt_pyobj),                   /* @tp_basicsize@ */
 831   0,                                    /* @tp_itemsize@ */
 832
 833   ecpt_pydealloc,                       /* @tp_dealloc@ */
 834   0,                                    /* @tp_print@ */
 835   0,                                    /* @tp_getattr@ */
 836   0,                                    /* @tp_setattr@ */
 837   0,                                    /* @tp_compare@ */
 838   0,                                    /* @tp_repr@ */
 839   PYNUMBER(ecptcurve),                  /* @tp_as_number@ */
 840   0,                                    /* @tp_as_sequence@ */
 841   0,                                    /* @tp_as_mapping@ */
 842   0,                                    /* @tp_hash@ */
 843   0,                                    /* @tp_call@ */
 844   0,                                    /* @tp_str@ */
 845   0,                                    /* @tp_getattro@ */
 846   0,                                    /* @tp_setattro@ */
 847   0,                                    /* @tp_as_buffer@ */
 848   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 849     Py_TPFLAGS_CHECKTYPES |
 850     Py_TPFLAGS_BASETYPE,
 851
 852   /* @tp_doc@ */
 853   "Elliptic curve points; abstract base class for points on given curves.",
 854
 855   0,                                    /* @tp_traverse@ */
 856   0,                                    /* @tp_clear@ */
 857   0,                                    /* @tp_richcompare@ */
 858   0,                                    /* @tp_weaklistoffset@ */
 859   0,                                    /* @tp_iter@ */
 860   0,                                    /* @tp_iternext@ */
 861   PYMETHODS(ecpt),                      /* @tp_methods@ */
 862   PYMEMBERS(ecpt),                      /* @tp_members@ */
 863   PYGETSET(ecpt),                       /* @tp_getset@ */
 864   0,                                    /* @tp_base@ */
 865   0,                                    /* @tp_dict@ */
 866   0,                                    /* @tp_descr_get@ */
 867   0,                                    /* @tp_descr_set@ */
 868   0,                                    /* @tp_dictoffset@ */
 869   0,                                    /* @tp_init@ */
 870   PyType_GenericAlloc,                  /* @tp_alloc@ */
 871   abstract_pynew,                       /* @tp_new@ */
 872   0,                                    /* @tp_free@ */
 873   0                                     /* @tp_is_gc@ */
 874 };
 875
 876 /*----- Elliptic curves themselves ----------------------------------------*/
 877
 878 static PyObject *eccurve_pyrichcompare(PyObject *x, PyObject *y, int op)
 879 {
 880   int b;
 881
 882   assert(ECCURVE_PYCHECK(x));
 883   if (!ECCURVE_PYCHECK(y)) RETURN_NOTIMPL;
 884   b = ec_samep(ECCURVE_C(x), ECCURVE_C(y));
 885   switch (op) {
 886     case Py_EQ: break;
 887     case Py_NE: b = !b; break;
 888     default: TYERR("can't order elliptic curves");
 889   }
 890   return (getbool(b));
 891 end:
 892   return (0);
 893 }
 894
 895 static PyObject *ecmmul_id(PyObject *me)
 896   { ec p = EC_INIT; return (ecpt_pywrap(me, &p)); }
 897
 898 static int ecmmul_fill(void *pp, PyObject *me, PyObject *x, PyObject *m)
 899 {
 900   ec_mulfactor *f = pp;
 901
 902   EC_CREATE(&f->base);
 903   if (getecpt(ECCURVE_C(me), &f->base, x) ||
 904       (f->exp = getmp(m)) == 0)
 905     return (-1);
 906   return (0);
 907 }
 908
 909 static PyObject *ecmmul_exp(PyObject *me, void *pp, int n)
 910 {
 911   ec p = EC_INIT;
 912   ec_immul(ECCURVE_C(me), &p, pp, n);
 913   return (ecpt_pywrap(me, &p));
 914 }
 915
 916 static void ecmmul_drop(void *pp)
 917 {
 918   ec_mulfactor *f = pp;
 919   EC_DESTROY(&f->base);
 920   MP_DROP(f->exp);
 921 }
 922
 923 static PyObject *ecmeth_mmul(PyObject *me, PyObject *arg)
 924 {
 925   return (mexp_common(me, arg, sizeof(ec_mulfactor),
 926                       ecmmul_id, ecmmul_fill, ecmmul_exp, ecmmul_drop));
 927 }
 928
 929 static void eccurve_pydealloc(PyObject *me)
 930 {
 931   ec_destroycurve(ECCURVE_C(me));
 932   Py_DECREF(ECCURVE_FOBJ(me));
 933   PyType_Type.tp_dealloc(me);
 934 }
 935
 936 static PyObject *ecmeth_find(PyObject *me, PyObject *arg)
 937 {
 938   PyObject *x;
 939   mp *xx = 0;
 940   ec p = EC_INIT;
 941   PyObject *rc = 0;
 942
 943   if (!PyArg_ParseTuple(arg, "O:find", &x)) goto end;
 944   if (FIELD_PYCHECK(x) && FE_F(x) == ECCURVE_C(me)->f)
 945     xx = MP_COPY(FE_X(x));
 946   else if ((xx = getmp(x)) == 0)
 947     goto end;
 948   else
 949     xx = F_IN(ECCURVE_C(me)->f, xx, xx);
 950   if (EC_FIND(ECCURVE_C(me), &p, xx) == 0)
 951     VALERR("not on the curve");
 952   rc = ecpt_pywrap(me, &p);
 953 end:
 954   if (xx) MP_DROP(xx);
 955   return (rc);
 956 }
 957
 958 static PyObject *ecmeth_rand(PyObject *me, PyObject *arg, PyObject *kw)
 959 {
 960   static const char *const kwlist[] = { "rng", 0 };
 961   grand *r = &rand_global;
 962   ec p = EC_INIT;
 963
 964   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&:rand", KWLIST,
 965                                    convgrand, &r))
 966     return (0);
 967   ec_rand(ECCURVE_C(me), &p, r);
 968   EC_IN(ECCURVE_C(me), &p, &p);
 969   return (ecpt_pywrap(me, &p));
 970 }
 971
 972 static PyObject *ecmeth_parse(PyObject *me, PyObject *arg)
 973 {
 974   char *p;
 975   qd_parse qd;
 976   ec_curve *c;
 977   PyObject *rc = 0;
 978
 979   if (!PyArg_ParseTuple(arg, "s:parse", &p)) goto end;
 980   qd.p = p; qd.e = 0;
 981   if ((c = ec_curveparse(&qd)) == 0) VALERR(qd.e);
 982   rc = eccurve_pywrap(0, c);
 983 end:
 984   return (rc);
 985 }
 986
 987 static PyObject *eccurve_dopywrap(PyTypeObject *ty,
 988                                   PyObject *fobj, ec_curve *c)
 989 {
 990   eccurve_pyobj *cobj = newtype(ty, 0, c->ops->name);
 991   cobj->c = c;
 992   cobj->fobj = fobj;
 993   cobj->ty.ht_type.tp_basicsize = sizeof(ecpt_pyobj);
 994   cobj->ty.ht_type.tp_base = ecptcurve_pytype;
 995   Py_INCREF(ecptcurve_pytype);
 996   cobj->ty.ht_type.tp_flags = (Py_TPFLAGS_DEFAULT |
 997                                Py_TPFLAGS_BASETYPE |
 998                                Py_TPFLAGS_CHECKTYPES |
 999                                Py_TPFLAGS_HEAPTYPE);
1000   cobj->ty.ht_type.tp_alloc = PyType_GenericAlloc;
1001   cobj->ty.ht_type.tp_free = 0;
1002   cobj->ty.ht_type.tp_new = ecpt_pynew;
1003   typeready(&cobj->ty.ht_type);
1004   return ((PyObject *)cobj);
1005 }
1006
1007 PyObject *eccurve_pywrap(PyObject *fobj, ec_curve *c)
1008 {
1009   PyTypeObject *ty;
1010
1011   if (!fobj)
1012     fobj = field_pywrap(c->f);
1013   else
1014     Py_INCREF(fobj);
1015   assert(FIELD_F(fobj) == c->f);
1016   if (STRCMP(EC_NAME(c), ==, "prime"))
1017     ty = ecprimecurve_pytype;
1018   else if (STRCMP(EC_NAME(c), ==, "primeproj"))
1019     ty = ecprimeprojcurve_pytype;
1020   else if (STRCMP(EC_NAME(c), ==, "bin"))
1021     ty = ecbincurve_pytype;
1022   else if (STRCMP(EC_NAME(c), ==, "binproj"))
1023     ty = ecbinprojcurve_pytype;
1024   else
1025     abort();
1026   return (eccurve_dopywrap(ty, fobj, c));
1027 }
1028
1029 static PyObject *eccurve_pynew(PyTypeObject *ty,
1030                                ec_curve *(*make)(field *, mp *, mp *),
1031                                PyObject *arg, PyObject *kw)
1032 {
1033   PyObject *fobj;
1034   PyObject *cobj = 0;
1035   static const char *const kwlist[] = { "field", "a", "b", 0 };
1036   mp *aa = 0, *bb = 0;
1037
1038   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O!O&O&", KWLIST,
1039                                    field_pytype, &fobj,
1040                                    convmp, &aa, convmp, &bb))
1041     goto end;
1042   Py_INCREF(fobj);
1043   cobj = eccurve_dopywrap(ty, fobj, make(FIELD_F(fobj), aa, bb));
1044 end:
1045   if (aa) MP_DROP(aa);
1046   if (bb) MP_DROP(bb);
1047   return (cobj);
1048 }
1049
1050 static PyObject *ecget_name(PyObject *me, void *hunoz)
1051   { return (TEXT_FROMSTR(EC_NAME(ECCURVE_C(me)))); }
1052
1053 static PyObject *ecget_a(PyObject *me, void *hunoz)
1054   { return (fe_pywrap(ECCURVE_FOBJ(me), MP_COPY(ECCURVE_C(me)->a))); }
1055
1056 static PyObject *ecget_b(PyObject *me, void *hunoz)
1057   { return (fe_pywrap(ECCURVE_FOBJ(me), MP_COPY(ECCURVE_C(me)->b))); }
1058
1059 static PyObject *ecget_field(PyObject *me, void *hunoz)
1060   { RETURN_OBJ(ECCURVE_FOBJ(me)); }
1061
1062 static PyObject *ecget_inf(PyObject *me, void *hunoz)
1063   { ec inf = EC_INIT; return (ecpt_pywrap(me, &inf)); }
1064
1065 static const PyGetSetDef eccurve_pygetset[] = {
1066 #define GETSETNAME(op, name) ec##op##_##name
1067   GET   (name,          "E.name -> name of this kind of curve")
1068   GET   (a,             "E.a -> first parameter of curve")
1069   GET   (b,             "E.b -> second parameter of curve")
1070   GET   (field,         "E.field -> finite field containing this curve")
1071   GET   (inf,           "E.inf -> point at infinity of this curve")
1072 #undef GETSETNAME
1073   { 0 }
1074 };
1075
1076 static const PyMethodDef eccurve_pymethods[] = {
1077 #define METHNAME(name) ecmeth_##name
1078   METH  (mmul,     "E.mmul([(P0, N0), (P1, N1), ...]) = N0 P0 + N1 P1 + ...")
1079   METH  (find,          "E.find(X) -> P")
1080   KWMETH(rand,          "E.rand([rng = rand]) -> P")
1081   SMTH  (parse,         "parse(STR) -> (E, REST)")
1082 #undef METHNAME
1083   { 0 }
1084 };
1085
1086 static const PyTypeObject eccurve_pytype_skel = {
1087   PyVarObject_HEAD_INIT(0, 0)           /* Header */
1088   "ECCurve",                            /* @tp_name@ */
1089   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1090   0,                                    /* @tp_itemsize@ */
1091
1092   eccurve_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 elliptic curve.  Abstract class.",
1112
1113   0,                                    /* @tp_traverse@ */
1114   0,                                    /* @tp_clear@ */
1115   eccurve_pyrichcompare,                /* @tp_richcompare@ */
1116   0,                                    /* @tp_weaklistoffset@ */
1117   0,                                    /* @tp_iter@ */
1118   0,                                    /* @tp_iternext@ */
1119   PYMETHODS(eccurve),                   /* @tp_methods@ */
1120   0,                                    /* @tp_members@ */
1121   PYGETSET(eccurve),                    /* @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   abstract_pynew,                       /* @tp_new@ */
1130   0,                                    /* @tp_free@ */
1131   0                                     /* @tp_is_gc@ */
1132 };
1133
1134 static PyObject *ecprimecurve_pynew(PyTypeObject *ty,
1135                                     PyObject *arg, PyObject *kw)
1136 {
1137   return (eccurve_pynew(ty, ec_prime, arg, kw));
1138 }
1139
1140 static const PyTypeObject ecprimecurve_pytype_skel = {
1141   PyVarObject_HEAD_INIT(0, 0)           /* Header */
1142   "ECPrimeCurve",                       /* @tp_name@ */
1143   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1144   0,                                    /* @tp_itemsize@ */
1145
1146   eccurve_pydealloc,                    /* @tp_dealloc@ */
1147   0,                                    /* @tp_print@ */
1148   0,                                    /* @tp_getattr@ */
1149   0,                                    /* @tp_setattr@ */
1150   0,                                    /* @tp_compare@ */
1151   0,                                    /* @tp_repr@ */
1152   0,                                    /* @tp_as_number@ */
1153   0,                                    /* @tp_as_sequence@ */
1154   0,                                    /* @tp_as_mapping@ */
1155   0,                                    /* @tp_hash@ */
1156   0,                                    /* @tp_call@ */
1157   0,                                    /* @tp_str@ */
1158   0,                                    /* @tp_getattro@ */
1159   0,                                    /* @tp_setattro@ */
1160   0,                                    /* @tp_as_buffer@ */
1161   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1162     Py_TPFLAGS_BASETYPE,
1163
1164   /* @tp_doc@ */
1165   "ECPrimeCurve(FIELD, A, B): an elliptic curve over a prime field.\n"
1166   "  Use ECPrimeProjCurve instead.",
1167
1168   0,                                    /* @tp_traverse@ */
1169   0,                                    /* @tp_clear@ */
1170   0,                                    /* @tp_richcompare@ */
1171   0,                                    /* @tp_weaklistoffset@ */
1172   0,                                    /* @tp_iter@ */
1173   0,                                    /* @tp_iternext@ */
1174   0,                                    /* @tp_methods@ */
1175   0,                                    /* @tp_members@ */
1176   0,                                    /* @tp_getset@ */
1177   0,                                    /* @tp_base@ */
1178   0,                                    /* @tp_dict@ */
1179   0,                                    /* @tp_descr_get@ */
1180   0,                                    /* @tp_descr_set@ */
1181   0,                                    /* @tp_dictoffset@ */
1182   0,                                    /* @tp_init@ */
1183   PyType_GenericAlloc,                  /* @tp_alloc@ */
1184   ecprimecurve_pynew,                   /* @tp_new@ */
1185   0,                                    /* @tp_free@ */
1186   0                                     /* @tp_is_gc@ */
1187 };
1188
1189 static PyObject *ecprimeprojcurve_pynew(PyTypeObject *ty,
1190                                         PyObject *arg, PyObject *kw)
1191 {
1192   return (eccurve_pynew(ty, ec_primeproj, arg, kw));
1193 }
1194
1195 static const PyTypeObject ecprimeprojcurve_pytype_skel = {
1196   PyVarObject_HEAD_INIT(0, 0)           /* Header */
1197   "ECPrimeProjCurve",                   /* @tp_name@ */
1198   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1199   0,                                    /* @tp_itemsize@ */
1200
1201   eccurve_pydealloc,                    /* @tp_dealloc@ */
1202   0,                                    /* @tp_print@ */
1203   0,                                    /* @tp_getattr@ */
1204   0,                                    /* @tp_setattr@ */
1205   0,                                    /* @tp_compare@ */
1206   0,                                    /* @tp_repr@ */
1207   0,                                    /* @tp_as_number@ */
1208   0,                                    /* @tp_as_sequence@ */
1209   0,                                    /* @tp_as_mapping@ */
1210   0,                                    /* @tp_hash@ */
1211   0,                                    /* @tp_call@ */
1212   0,                                    /* @tp_str@ */
1213   0,                                    /* @tp_getattro@ */
1214   0,                                    /* @tp_setattro@ */
1215   0,                                    /* @tp_as_buffer@ */
1216   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1217     Py_TPFLAGS_BASETYPE,
1218
1219   /* @tp_doc@ */
1220   "ECPrimeProjCurve(FIELD, A, B): an elliptic curve over a prime field\n"
1221   "  using projective coordinates.",
1222
1223   0,                                    /* @tp_traverse@ */
1224   0,                                    /* @tp_clear@ */
1225   0,                                    /* @tp_richcompare@ */
1226   0,                                    /* @tp_weaklistoffset@ */
1227   0,                                    /* @tp_iter@ */
1228   0,                                    /* @tp_iternext@ */
1229   0,                                    /* @tp_methods@ */
1230   0,                                    /* @tp_members@ */
1231   0,                                    /* @tp_getset@ */
1232   0,                                    /* @tp_base@ */
1233   0,                                    /* @tp_dict@ */
1234   0,                                    /* @tp_descr_get@ */
1235   0,                                    /* @tp_descr_set@ */
1236   0,                                    /* @tp_dictoffset@ */
1237   0,                                    /* @tp_init@ */
1238   PyType_GenericAlloc,                  /* @tp_alloc@ */
1239   ecprimeprojcurve_pynew,               /* @tp_new@ */
1240   0,                                    /* @tp_free@ */
1241   0                                     /* @tp_is_gc@ */
1242 };
1243
1244 static PyObject *ecbincurve_pynew(PyTypeObject *ty,
1245                                   PyObject *arg, PyObject *kw)
1246 {
1247   return (eccurve_pynew(ty, ec_bin, arg, kw));
1248 }
1249
1250 static const PyTypeObject ecbincurve_pytype_skel = {
1251   PyVarObject_HEAD_INIT(0, 0)           /* Header */
1252   "ECBinCurve",                         /* @tp_name@ */
1253   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1254   0,                                    /* @tp_itemsize@ */
1255
1256   eccurve_pydealloc,                    /* @tp_dealloc@ */
1257   0,                                    /* @tp_print@ */
1258   0,                                    /* @tp_getattr@ */
1259   0,                                    /* @tp_setattr@ */
1260   0,                                    /* @tp_compare@ */
1261   0,                                    /* @tp_repr@ */
1262   0,                                    /* @tp_as_number@ */
1263   0,                                    /* @tp_as_sequence@ */
1264   0,                                    /* @tp_as_mapping@ */
1265   0,                                    /* @tp_hash@ */
1266   0,                                    /* @tp_call@ */
1267   0,                                    /* @tp_str@ */
1268   0,                                    /* @tp_getattro@ */
1269   0,                                    /* @tp_setattro@ */
1270   0,                                    /* @tp_as_buffer@ */
1271   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1272     Py_TPFLAGS_BASETYPE,
1273
1274   /* @tp_doc@ */
1275   "ECBinCurve(FIELD, A, B): an elliptic curve over a binary field.\n"
1276   "  Use ECBinProjCurve instead.",
1277
1278   0,                                    /* @tp_traverse@ */
1279   0,                                    /* @tp_clear@ */
1280   0,                                    /* @tp_richcompare@ */
1281   0,                                    /* @tp_weaklistoffset@ */
1282   0,                                    /* @tp_iter@ */
1283   0,                                    /* @tp_iternext@ */
1284   0,                                    /* @tp_methods@ */
1285   0,                                    /* @tp_members@ */
1286   0,                                    /* @tp_getset@ */
1287   0,                                    /* @tp_base@ */
1288   0,                                    /* @tp_dict@ */
1289   0,                                    /* @tp_descr_get@ */
1290   0,                                    /* @tp_descr_set@ */
1291   0,                                    /* @tp_dictoffset@ */
1292   0,                                    /* @tp_init@ */
1293   PyType_GenericAlloc,                  /* @tp_alloc@ */
1294   ecbincurve_pynew,                     /* @tp_new@ */
1295   0,                                    /* @tp_free@ */
1296   0                                     /* @tp_is_gc@ */
1297 };
1298
1299 static PyObject *ecbinprojcurve_pynew(PyTypeObject *ty,
1300                                       PyObject *arg, PyObject *kw)
1301 {
1302   return (eccurve_pynew(ty, ec_binproj, arg, kw));
1303 }
1304
1305 static const PyTypeObject ecbinprojcurve_pytype_skel = {
1306   PyVarObject_HEAD_INIT(0, 0)           /* Header */
1307   "ECBinProjCurve",                     /* @tp_name@ */
1308   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1309   0,                                    /* @tp_itemsize@ */
1310
1311   eccurve_pydealloc,                    /* @tp_dealloc@ */
1312   0,                                    /* @tp_print@ */
1313   0,                                    /* @tp_getattr@ */
1314   0,                                    /* @tp_setattr@ */
1315   0,                                    /* @tp_compare@ */
1316   0,                                    /* @tp_repr@ */
1317   0,                                    /* @tp_as_number@ */
1318   0,                                    /* @tp_as_sequence@ */
1319   0,                                    /* @tp_as_mapping@ */
1320   0,                                    /* @tp_hash@ */
1321   0,                                    /* @tp_call@ */
1322   0,                                    /* @tp_str@ */
1323   0,                                    /* @tp_getattro@ */
1324   0,                                    /* @tp_setattro@ */
1325   0,                                    /* @tp_as_buffer@ */
1326   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1327     Py_TPFLAGS_BASETYPE,
1328
1329   /* @tp_doc@ */
1330   "ECBinProjCurve(FIELD, A, B): an elliptic curve over a binary field,\n"
1331   "  using projective coordinates.",
1332
1333   0,                                    /* @tp_traverse@ */
1334   0,                                    /* @tp_clear@ */
1335   0,                                    /* @tp_richcompare@ */
1336   0,                                    /* @tp_weaklistoffset@ */
1337   0,                                    /* @tp_iter@ */
1338   0,                                    /* @tp_iternext@ */
1339   0,                                    /* @tp_methods@ */
1340   0,                                    /* @tp_members@ */
1341   0,                                    /* @tp_getset@ */
1342   0,                                    /* @tp_base@ */
1343   0,                                    /* @tp_dict@ */
1344   0,                                    /* @tp_descr_get@ */
1345   0,                                    /* @tp_descr_set@ */
1346   0,                                    /* @tp_dictoffset@ */
1347   0,                                    /* @tp_init@ */
1348   PyType_GenericAlloc,                  /* @tp_alloc@ */
1349   ecbinprojcurve_pynew,                 /* @tp_new@ */
1350   0,                                    /* @tp_free@ */
1351   0                                     /* @tp_is_gc@ */
1352 };
1353
1354 /*----- Curve info --------------------------------------------------------*/
1355
1356 void ecinfo_copy(ec_info *eic, const ec_info *ei)
1357 {
1358   eic->c = eccurve_copy(ei->c);
1359   EC_CREATE(&eic->g);
1360   EC_COPY(&eic->g, &ei->g);
1361   eic->r = MP_COPY(ei->r);
1362   eic->h = MP_COPY(ei->h);
1363 }
1364
1365 PyObject *ecinfo_pywrap(ec_info *ei)
1366 {
1367   ecinfo_pyobj *o;
1368
1369   o = PyObject_NEW(ecinfo_pyobj, ecinfo_pytype);
1370   o->ei = *ei;
1371   o->cobj = eccurve_pywrap(0, o->ei.c);
1372   Py_INCREF(o->cobj);
1373   return ((PyObject *)o);
1374 }
1375
1376 static void ecinfo_pydealloc(PyObject *me)
1377 {
1378   ec_info *ei = ECINFO_EI(me);
1379   EC_DESTROY(&ei->g);
1380   MP_DROP(ei->r);
1381   MP_DROP(ei->h);
1382   Py_DECREF(ECINFO_COBJ(me));
1383   FREEOBJ(me);
1384 }
1385
1386 static PyObject *ecinfo_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1387 {
1388   ec_info ei = { 0 };
1389   PyObject *e, *g;
1390   static const char *const kwlist[] = { "curve", "G", "r", "h", 0 };
1391   ecinfo_pyobj *rc = 0;
1392
1393   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O!O!O&O&:new", KWLIST,
1394                                    eccurve_pytype, &e, ecpt_pytype, &g,
1395                                    convmp, &ei.r, convmp, &ei.h))
1396     goto end;
1397   if (ECPT_C(g) != ECCURVE_C(e) && !ec_samep(ECPT_C(g), ECCURVE_C(e)))
1398     TYERR("point not from this curve");
1399   ei.c = ECCURVE_C(e);
1400   EC_CREATE(&ei.g);
1401   EC_OUT(ei.c, &ei.g, ECPT_P(g));
1402   rc = (ecinfo_pyobj *)ty->tp_alloc(ty, 0);
1403   rc->ei = ei;
1404   rc->cobj = e;
1405   Py_INCREF(rc->cobj);
1406   return ((PyObject *)rc);
1407
1408 end:
1409   mp_drop(ei.r);
1410   mp_drop(ei.h);
1411   return (0);
1412 }
1413
1414 static PyObject *eimeth_parse(PyObject *me, PyObject *arg)
1415 {
1416   char *p;
1417   qd_parse qd;
1418   ec_info ei;
1419   PyObject *rc = 0;
1420
1421   if (!PyArg_ParseTuple(arg, "s:parse", &p)) goto end;
1422   qd.p = p; qd.e = 0;
1423   if (ec_infoparse(&qd, &ei)) VALERR(qd.e);
1424   rc = Py_BuildValue("(Ns)", ecinfo_pywrap(&ei), qd.p);
1425 end:
1426   return (rc);
1427 }
1428
1429 static PyObject *ecinfo_pyrichcompare(PyObject *x, PyObject *y, int op)
1430 {
1431   int b = ec_sameinfop(ECINFO_EI(x), ECINFO_EI(y));
1432   switch (op) {
1433     case Py_EQ: break;
1434     case Py_NE: b = !b;
1435     default: TYERR("can't order elliptic curve infos");
1436   }
1437   return (getbool(b));
1438 end:
1439   return (0);
1440 }
1441
1442 static PyObject *eimeth_check(PyObject *me, PyObject *arg, PyObject *kw)
1443 {
1444   static const char *const kwlist[] = { "rng", 0 };
1445   grand *r = &rand_global;
1446   const char *p;
1447
1448   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&:check", KWLIST,
1449                                    convgrand, &r))
1450     goto end;
1451   if ((p = ec_checkinfo(ECINFO_EI(me), r)) != 0)
1452     VALERR(p);
1453   RETURN_ME;
1454 end:
1455   return (0);
1456 }
1457
1458 static PyObject *eiget_curve(PyObject *me, void *hunoz)
1459   { RETURN_OBJ(ECINFO_COBJ(me)); }
1460
1461 static PyObject *eiget_G(PyObject *me, void *hunoz)
1462 {
1463   ec_info *ei = ECINFO_EI(me);
1464   ec p = EC_INIT;
1465   EC_IN(ei->c, &p, &ei->g);
1466   return (ecpt_pywrap(ECINFO_COBJ(me), &p));
1467 }
1468
1469 static PyObject *eiget_r(PyObject *me, void *hunoz)
1470   { return (mp_pywrap(MP_COPY(ECINFO_EI(me)->r))); }
1471
1472 static PyObject *eiget_h(PyObject *me, void *hunoz)
1473   { return (mp_pywrap(MP_COPY(ECINFO_EI(me)->h))); }
1474
1475 static const PyGetSetDef ecinfo_pygetset[] = {
1476 #define GETSETNAME(op, name) ei##op##_##name
1477   GET   (curve,         "I.curve -> the elliptic curve")
1478   GET   (G,             "I.G -> generator point for the group")
1479   GET   (r,             "I.r -> order of the group (and hence of G")
1480   GET   (h,             "I.h -> cofactor of the group")
1481 #undef GETSETNAME
1482   { 0 }
1483 };
1484
1485 static const PyMethodDef ecinfo_pymethods[] = {
1486 #define METHNAME(name) eimeth_##name
1487   KWMETH(check,         "I.check([rng = rand]) -> None")
1488   SMTH  (parse,         "parse(STR) -> (I, REST)")
1489 #undef METHNAME
1490   { 0 }
1491 };
1492
1493 static const PyTypeObject ecinfo_pytype_skel = {
1494   PyVarObject_HEAD_INIT(0, 0)           /* Header */
1495   "ECInfo",                             /* @tp_name@ */
1496   sizeof(ecinfo_pyobj),                 /* @tp_basicsize@ */
1497   0,                                    /* @tp_itemsize@ */
1498
1499   ecinfo_pydealloc,                     /* @tp_dealloc@ */
1500   0,                                    /* @tp_print@ */
1501   0,                                    /* @tp_getattr@ */
1502   0,                                    /* @tp_setattr@ */
1503   0,                                    /* @tp_compare@ */
1504   0,                                    /* @tp_repr@ */
1505   0,                                    /* @tp_as_number@ */
1506   0,                                    /* @tp_as_sequence@ */
1507   0,                                    /* @tp_as_mapping@ */
1508   0,                                    /* @tp_hash@ */
1509   0,                                    /* @tp_call@ */
1510   0,                                    /* @tp_str@ */
1511   0,                                    /* @tp_getattro@ */
1512   0,                                    /* @tp_setattro@ */
1513   0,                                    /* @tp_as_buffer@ */
1514   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1515     Py_TPFLAGS_BASETYPE,
1516
1517   /* @tp_doc@ */
1518   "ECInfo(CURVE, G, R, H): elliptic curve domain parameters.",
1519
1520   0,                                    /* @tp_traverse@ */
1521   0,                                    /* @tp_clear@ */
1522   ecinfo_pyrichcompare,                 /* @tp_richcompare@ */
1523   0,                                    /* @tp_weaklistoffset@ */
1524   0,                                    /* @tp_iter@ */
1525   0,                                    /* @tp_iternext@ */
1526   PYMETHODS(ecinfo),                    /* @tp_methods@ */
1527   0,                                    /* @tp_members@ */
1528   PYGETSET(ecinfo),                     /* @tp_getset@ */
1529   0,                                    /* @tp_base@ */
1530   0,                                    /* @tp_dict@ */
1531   0,                                    /* @tp_descr_get@ */
1532   0,                                    /* @tp_descr_set@ */
1533   0,                                    /* @tp_dictoffset@ */
1534   0,                                    /* @tp_init@ */
1535   PyType_GenericAlloc,                  /* @tp_alloc@ */
1536   ecinfo_pynew,                         /* @tp_new@ */
1537   0,                                    /* @tp_free@ */
1538   0                                     /* @tp_is_gc@ */
1539 };
1540
1541 /*----- Setup -------------------------------------------------------------*/
1542
1543 static const struct nameval consts[] = {
1544   CONST(EC_XONLY), CONST(EC_YBIT), CONST(EC_LSB),
1545   CONST(EC_CMPR), CONST(EC_EXPLY), CONST(EC_SORT),
1546   { 0 }
1547 };
1548
1549 void ec_pyinit(void)
1550 {
1551   INITTYPE(ecpt, root);
1552   INITTYPE(ecptcurve, ecpt);
1553   INITTYPE(eccurve, type);
1554   INITTYPE(ecprimecurve, eccurve);
1555   INITTYPE(ecprimeprojcurve, ecprimecurve);
1556   INITTYPE(ecbincurve, eccurve);
1557   INITTYPE(ecbinprojcurve, ecbincurve);
1558   INITTYPE(ecinfo, root);
1559 }
1560
1561 static const char *ec_namefn(const void *p)
1562   { const ecentry *ec = p; return (ec->name); }
1563
1564 static int ec_ixfn(const void *p)
1565 {
1566   const ecentry *ec = p;
1567   int i;
1568
1569   for (i = 0; ectab[i].name; i++)
1570     if (ectab[i].data == ec->data) return (i);
1571   return (-1);
1572 }
1573
1574 static PyObject *ec_valfn(int i)
1575 {
1576   ec_info ei;
1577
1578   ec_infofromdata(&ei, ectab[i].data);
1579   return (ecinfo_pywrap(&ei));
1580 }
1581
1582 void ec_pyinsert(PyObject *mod)
1583 {
1584   INSERT("ECPt", ecpt_pytype);
1585   INSERT("ECPtCurve", ecptcurve_pytype);
1586   INSERT("ECCurve", eccurve_pytype);
1587   INSERT("ECPrimeCurve", ecprimecurve_pytype);
1588   INSERT("ECPrimeProjCurve", ecprimeprojcurve_pytype);
1589   INSERT("ECBinCurve", ecbincurve_pytype);
1590   INSERT("ECBinProjCurve", ecbinprojcurve_pytype);
1591   INSERT("ECInfo", ecinfo_pytype);
1592   INSERT("eccurves", make_grouptab(ectab, sizeof(*ectab),
1593                                    ec_namefn, ec_ixfn, ec_valfn));
1594   setconstants(mod, consts);
1595 }
1596
1597 /*----- That's all, folks -------------------------------------------------*/