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