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