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") == 0)
  52     c = ec_prime(f, a, b);
  53   else if (strcmp(EC_NAME(c), "primeproj") == 0)
  54     c = ec_primeproj(f, a, b);
  55   else if (strcmp(EC_NAME(c), "bin") == 0)
  56     c = ec_bin(f, a, b);
  57   else if (strcmp(EC_NAME(c), "binproj") == 0)
  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   buf b;
 199   ec p = EC_INIT;
 200   size_t sz = 2*ECPT_C(me)->f->noctets + 1;
 201   octet *q = xmalloc(sz);
 202
 203   h = 0xe0fdd039 + ECPT_C(me)->f->ops->ty;
 204   buf_init(&b, q, sz);
 205   EC_OUT(ECPT_C(me), &p, ECPT_P(me));
 206   ec_putraw(ECPT_C(me), &b, &p);
 207   EC_DESTROY(&p);
 208   h = unihash_hash(&unihash_global, h, BBASE(&b), BLEN(&b));
 209   xfree(q);
 210   return (h % LONG_MAX);
 211 }
 212
 213 static PyObject *ecpt_pyrichcompare(PyObject *x, PyObject *y, int op)
 214 {
 215   ec_curve *c;
 216   PyObject *cobj;
 217   ec p = EC_INIT, q = EC_INIT;
 218   int b;
 219   PyObject *rc = 0;
 220
 221   if (ecbinop(x, y, &c, &cobj, &p, &q)) RETURN_NOTIMPL;
 222   EC_OUT(c, &p, &p);
 223   EC_OUT(c, &q, &q);
 224   switch (op) {
 225     case Py_EQ: b = EC_EQ(&p, &q); break;
 226     case Py_NE: b = !EC_EQ(&p, &q); break;
 227     default: TYERR("elliptic curve points are unordered");
 228   }
 229   rc = getbool(b);
 230 end:
 231   EC_DESTROY(&p);
 232   EC_DESTROY(&q);
 233   return (rc);
 234 }
 235
 236 static PyObject *epmeth_oncurvep(PyObject *me, PyObject *arg)
 237 {
 238   if (!PyArg_ParseTuple(arg, ":oncurvep")) return (0);
 239   return (getbool(EC_ATINF(ECPT_P(me)) ||
 240                   !EC_CHECK(ECPT_C(me), ECPT_P(me))));
 241 }
 242
 243 static PyObject *epmeth_dbl(PyObject *me, PyObject *arg)
 244 {
 245   ec p = EC_INIT;
 246   if (!PyArg_ParseTuple(arg, ":dbl")) return (0);
 247   EC_DBL(ECPT_C(me), &p, ECPT_P(me));
 248   return (ecpt_pywrap(ECPT_COBJ(me), &p));
 249 }
 250
 251 static PyObject *epmeth_tobuf(PyObject *me, PyObject *arg)
 252 {
 253   buf b;
 254   ec p = EC_INIT;
 255   PyObject *rc;
 256   size_t n;
 257
 258   if (!PyArg_ParseTuple(arg, ":tobuf")) return (0);
 259   getecptout(&p, me);
 260   if (EC_ATINF(&p))
 261     n = 2;
 262   else
 263     n = mp_octets(p.x) + mp_octets(p.y) + 4;
 264   rc = bytestring_pywrap(0, n);
 265   buf_init(&b, PyString_AS_STRING(rc), n);
 266   buf_putec(&b, &p);
 267   assert(BOK(&b));
 268   _PyString_Resize(&rc, BLEN(&b));
 269   EC_DESTROY(&p);
 270   return (rc);
 271 }
 272
 273 static PyObject *epmeth_toraw(PyObject *me, PyObject *arg)
 274 {
 275   buf b;
 276   PyObject *rc;
 277   char *p;
 278   ec_curve *c = ECPT_C(me);
 279   ec pp = EC_INIT;
 280   int len;
 281
 282   if (!PyArg_ParseTuple(arg, ":toraw")) return (0);
 283   len = c->f->noctets * 2 + 1;
 284   rc = bytestring_pywrap(0, len);
 285   p = PyString_AS_STRING(rc);
 286   buf_init(&b, p, len);
 287   EC_OUT(c, &pp, ECPT_P(me));
 288   ec_putraw(c, &b, &pp);
 289   EC_DESTROY(&pp);
 290   _PyString_Resize(&rc, BLEN(&b));
 291   return (rc);
 292 }
 293
 294 static PyObject *epmeth_ec2osp(PyObject *me, PyObject *arg, PyObject *kw)
 295 {
 296   buf b;
 297   PyObject *rc;
 298   char *p;
 299   ec_curve *c = ECPT_C(me);
 300   ec pp = EC_INIT;
 301   int f = EC_EXPLY;
 302   int len;
 303   char *kwlist[] = { "flags", 0 };
 304
 305   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:ec2osp", kwlist, &f))
 306     return (0);
 307   len = c->f->noctets * 2 + 1;
 308   rc = bytestring_pywrap(0, len);
 309   p = PyString_AS_STRING(rc);
 310   buf_init(&b, p, len);
 311   EC_OUT(c, &pp, ECPT_P(me));
 312   if (ec_ec2osp(c, f, &b, &pp)) {
 313     Py_DECREF(rc); rc = 0;
 314     VALERR("invalid flags");
 315   }
 316   EC_DESTROY(&pp);
 317   _PyString_Resize(&rc, BLEN(&b));
 318 end:
 319   return (rc);
 320 }
 321
 322 static PyObject *epget_curve(PyObject *me, void *hunoz)
 323   { RETURN_OBJ(ECPT_COBJ(me)); }
 324
 325 static PyObject *epncget_ix(PyObject *me, void *hunoz)
 326 {
 327   ec p = EC_INIT;
 328   PyObject *rc;
 329   if (EC_ATINF(ECPT_P(me))) RETURN_NONE;
 330   getecptout(&p, me);
 331   rc = mp_pywrap(MP_COPY(p.x));
 332   EC_DESTROY(&p);
 333   return (rc);
 334 }
 335
 336 static PyObject *epncget_iy(PyObject *me, void *hunoz)
 337 {
 338   ec p = EC_INIT;
 339   PyObject *rc;
 340   if (EC_ATINF(ECPT_P(me))) RETURN_NONE;
 341   getecptout(&p, me);
 342   rc = mp_pywrap(MP_COPY(p.y));
 343   EC_DESTROY(&p);
 344   return (rc);
 345 }
 346
 347 static PyObject *epncget_point(PyObject *me, void *hunoz)
 348   { RETURN_ME; }
 349
 350 static PyObject *epget_point(PyObject *me, void *hunoz)
 351 {
 352   ec p = EC_INIT;
 353   getecptout(&p, me);
 354   return (ecpt_pywrapout(ecpt_pytype, &p));
 355 }
 356
 357 static PyObject *epget_x(PyObject *me, void *hunoz)
 358 {
 359   ec_curve *c = ECPT_C(me);
 360   ec *pp = ECPT_P(me);
 361   PyObject *fobj = ECPT_FOBJ(me);
 362   ec p = EC_INIT;
 363   PyObject *rc;
 364
 365   if (EC_ATINF(pp)) RETURN_NONE;
 366   EC_OUT(c, &p, pp);
 367   rc = fe_pywrap(fobj, F_IN(c->f, MP_NEW, p.x));
 368   EC_DESTROY(&p);
 369   return (rc);
 370 }
 371
 372 static PyObject *epget_y(PyObject *me, void *hunoz)
 373 {
 374   ec_curve *c = ECPT_C(me);
 375   ec *pp = ECPT_P(me);
 376   PyObject *fobj = ECPT_FOBJ(me);
 377   ec p = EC_INIT;
 378   PyObject *rc;
 379
 380   if (EC_ATINF(pp)) RETURN_NONE;
 381   EC_OUT(c, &p, pp);
 382   rc = fe_pywrap(fobj, F_IN(c->f, MP_NEW, p.y));
 383   EC_DESTROY(&p);
 384   return (rc);
 385 }
 386
 387 static PyObject *epget__x(PyObject *me, void *hunoz)
 388 {
 389   if (EC_ATINF(ECPT_P(me))) RETURN_NONE;
 390   return (fe_pywrap(ECPT_FOBJ(me), MP_COPY(ECPT_P(me)->x)));
 391 }
 392
 393 static PyObject *epget__y(PyObject *me, void *hunoz)
 394 {
 395   if (EC_ATINF(ECPT_P(me))) RETURN_NONE;
 396   return (fe_pywrap(ECPT_FOBJ(me), MP_COPY(ECPT_P(me)->y)));
 397 }
 398
 399 static PyObject *epget__z(PyObject *me, void *hunoz)
 400 {
 401   if (EC_ATINF(ECPT_P(me)) || !ECPT_P(me)->z) RETURN_NONE;
 402   return (fe_pywrap(ECPT_FOBJ(me), MP_COPY(ECPT_P(me)->z)));
 403 }
 404
 405 static mp *coord_in(field *f, PyObject *x)
 406 {
 407   mp *xx;
 408   if (FE_PYCHECK(x) && FE_F(x) == f)
 409     return (MP_COPY(FE_X(x)));
 410   else if ((xx = getmp(x)) == 0)
 411     return (0);
 412   else
 413     return (F_IN(f, xx, xx));
 414 }
 415
 416 static int ecptxl_3(ec_curve *c, ec *p,
 417                     PyObject *x, PyObject *y, PyObject *z)
 418 {
 419   int rc = -1;
 420
 421   if (!x || !y || !z) TYERR("missing argument");
 422   if (!c) VALERR("internal form with no curve!");
 423   if ((p->x = coord_in(c->f, x)) == 0 ||
 424       (p->y = coord_in(c->f, y)) == 0 ||
 425       (z != Py_None && (p->z = coord_in(c->f, z)) == 0))
 426     goto end;
 427   if (!p->z) p->z = MP_COPY(c->f->one); /* just in case */
 428   rc = 0;
 429 end:
 430   return (rc);
 431 }
 432
 433 static int ecptxl_2(ec_curve *c, ec *p, PyObject *x, PyObject *y)
 434 {
 435   int rc = -1;
 436
 437   if (!x || !y) TYERR("missing argument");
 438   if ((p->x = getmp(x)) == 0 ||
 439       (p->y = getmp(y)) == 0)
 440     goto end;
 441   if (c) EC_IN(c, p, p);
 442   rc = 0;
 443 end:
 444   return (rc);
 445 }
 446
 447 static int ecptxl_1(ec_curve *c, ec *p, PyObject *x)
 448 {
 449   int rc = -1;
 450   PyObject *y = 0, *z = 0, *t = 0;
 451   mp *xx = 0;
 452   const void *q;
 453   int n;
 454   qd_parse qd;
 455
 456   Py_XINCREF(x);
 457   if (!x || x == Py_None)
 458     /*cool*/;
 459   else if (ECPT_PYCHECK(x)) {
 460     getecptout(p, x);
 461     goto fix;
 462   } else if (PyString_Check(x)) {
 463     if (PyObject_AsReadBuffer(x, &q, 0))
 464       goto end;
 465     qd.p = q;
 466     qd.e = 0;
 467     if (!ec_ptparse(&qd, p))
 468       VALERR(qd.e);
 469     goto fix;
 470   } else if (c && (xx = tomp(x)) != 0) {
 471     xx = F_IN(c->f, xx, xx);
 472     if (!EC_FIND(c, p, xx)) VALERR("not on the curve");
 473   } else if (PySequence_Check(x)) {
 474     t = x; x = 0;
 475     n = PySequence_Size(t);
 476     if (n != 2 && (n != 3 || !c))
 477       TYERR("want sequence of two or three items");
 478     if ((x = PySequence_GetItem(t, 0)) == 0 ||
 479         (y = PySequence_GetItem(t, 1)) == 0 ||
 480         (n == 3 && (z = PySequence_GetItem(t, 2)) == 0))
 481       goto end;
 482     rc = (n == 2) ? ecptxl_2(c, p, x, y) : ecptxl_3(c, p, x, y, z);
 483   } else
 484     TYERR("can't convert to curve point");
 485   goto ok;
 486
 487 fix:
 488   if (c) EC_IN(c, p, p);
 489 ok:
 490   rc = 0;
 491 end:
 492   Py_XDECREF(x); Py_XDECREF(y); Py_XDECREF(z); Py_XDECREF(t);
 493   mp_drop(xx);
 494   return (rc);
 495 }
 496
 497 static int ecptxl(ec_curve *c, ec *p, PyObject *x, PyObject *y, PyObject *z)
 498 {
 499   if (z)
 500     return (ecptxl_3(c, p, x, y, z));
 501   else if (y)
 502     return (ecptxl_2(c, p, x, y));
 503   else
 504     return (ecptxl_1(c, p, x));
 505 }
 506
 507 static PyObject *ecptnc_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
 508 {
 509   PyObject *x = 0, *y = 0, *z = 0;
 510   ec p = EC_INIT;
 511   char *kwlist[] = { "x", "y", 0 };
 512
 513   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|OO:new", kwlist, &x, &y) ||
 514       ecptxl(0, &p, x, y, z))
 515     goto end;
 516   return (ecpt_pywrapout(ty, &p));
 517 end:
 518   EC_DESTROY(&p);
 519   return (0);
 520 }
 521
 522 static PyObject *ecpt_pyint(PyObject *me)
 523 {
 524   ec p = EC_INIT;
 525   long l;
 526   PyObject *rc = 0;
 527   if (EC_ATINF(ECPT_P(me))) VALERR("point at infinity");
 528   getecptout(&p, me);
 529   if (!mp_tolong_checked(p.x, &l, 0)) rc = PyInt_FromLong(l);
 530   else rc = mp_topylong(p.x);
 531 end:
 532   EC_DESTROY(&p);
 533   return (rc);
 534 }
 535
 536 static PyObject *ecpt_pylong(PyObject *me)
 537 {
 538   ec p = EC_INIT;
 539   PyObject *rc = 0;
 540   if (EC_ATINF(ECPT_P(me))) VALERR("point at infinity");
 541   getecptout(&p, me);
 542   rc = mp_topylong(p.x);
 543 end:
 544   EC_DESTROY(&p);
 545   return (rc);
 546 }
 547
 548 static PyObject *ecpt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
 549 {
 550   PyObject *x = 0, *y = 0, *z = 0;
 551   ec p = EC_INIT;
 552   char *kwlist[] = { "x", "y", "z", 0 };
 553
 554   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|OOO:new", kwlist,
 555                                    &x, &y, &z) ||
 556       ecptxl(ECCURVE_C(ty), &p, x, y, z))
 557     goto end;
 558   return (ecpt_pywrap((PyObject *)ty, &p));
 559 end:
 560   EC_DESTROY(&p);
 561   return (0);
 562 }
 563
 564 static PyGetSetDef ecptnc_pygetset[] = {
 565 #define GETSETNAME(op, name) epnc##op##_##name
 566   GET   (ix,            "P.ix -> integer x coordinate of P")
 567   GET   (iy,            "P.iy -> integer y coordinate of P")
 568   GET   (point,         "P.point -> standalone curve point (no-op)")
 569 #undef GETSETNAME
 570   { 0 }
 571 };
 572
 573 static PyMethodDef ecptnc_pymethods[] = {
 574 #define METHNAME(func) epmeth_##func
 575   METH  (tobuf,         "X.tobuf() -> BIN")
 576 #undef METHNAME
 577   { 0 }
 578 };
 579
 580 static PyNumberMethods ecpt_pynumber = {
 581   0,                                    /* @nb_add@ */
 582   0,                                    /* @nb_subtract@ */
 583   0,                                    /* @nb_multiply@ */
 584   0,                                    /* @nb_divide@ */
 585   0,                                    /* @nb_remainder@ */
 586   0,                                    /* @nb_divmod@ */
 587   0,                                    /* @nb_power@ */
 588   0,                                    /* @nb_negative@ */
 589   0,                                    /* @nb_positive@ */
 590   0,                                    /* @nb_absolute@ */
 591   ecpt_pynonzerop,                      /* @nb_nonzero@ */
 592   0,                                    /* @nb_invert@ */
 593   0,                                    /* @nb_lshift@ */
 594   0,                                    /* @nb_rshift@ */
 595   0,                                    /* @nb_and@ */
 596   0,                                    /* @nb_xor@ */
 597   0,                                    /* @nb_or@ */
 598   0,                                    /* @nb_coerce@ */
 599   ecpt_pyint,                           /* @nb_int@ */
 600   ecpt_pylong,                          /* @nb_long@ */
 601   0,                                    /* @nb_float@ */
 602   0,                                    /* @nb_oct@ */
 603   0,                                    /* @nb_hex@ */
 604
 605   0,                                    /* @nb_inplace_add@ */
 606   0,                                    /* @nb_inplace_subtract@ */
 607   0,                                    /* @nb_inplace_multiply@ */
 608   0,                                    /* @nb_inplace_divide@ */
 609   0,                                    /* @nb_inplace_remainder@ */
 610   0,                                    /* @nb_inplace_power@ */
 611   0,                                    /* @nb_inplace_lshift@ */
 612   0,                                    /* @nb_inplace_rshift@ */
 613   0,                                    /* @nb_inplace_and@ */
 614   0,                                    /* @nb_inplace_xor@ */
 615   0,                                    /* @nb_inplace_or@ */
 616
 617   0,                                    /* @nb_floor_divide@ */
 618   0,                                    /* @nb_true_divide@ */
 619   0,                                    /* @nb_inplace_floor_divide@ */
 620   0,                                    /* @nb_inplace_true_divide@ */
 621 };
 622
 623 static PyTypeObject ecpt_pytype_skel = {
 624   PyObject_HEAD_INIT(0) 0,              /* Header */
 625   "ECPt",                               /* @tp_name@ */
 626   sizeof(ecpt_pyobj),                   /* @tp_basicsize@ */
 627   0,                                    /* @tp_itemsize@ */
 628
 629   ecpt_pydealloc,                       /* @tp_dealloc@ */
 630   0,                                    /* @tp_print@ */
 631   0,                                    /* @tp_getattr@ */
 632   0,                                    /* @tp_setattr@ */
 633   0,                                    /* @tp_compare@ */
 634   0,                                    /* @tp_repr@ */
 635   &ecpt_pynumber,                       /* @tp_as_number@ */
 636   0,                                    /* @tp_as_sequence@ */
 637   0,                                    /* @tp_as_mapping@ */
 638   ecpt_pyhash,                          /* @tp_hash@ */
 639   0,                                    /* @tp_call@ */
 640   0,                                    /* @tp_str@ */
 641   0,                                    /* @tp_getattro@ */
 642   0,                                    /* @tp_setattro@ */
 643   0,                                    /* @tp_as_buffer@ */
 644   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 645     Py_TPFLAGS_CHECKTYPES |
 646     Py_TPFLAGS_BASETYPE,
 647
 648   /* @tp_doc@ */
 649 "Elliptic curve points, not associated with any curve.",
 650
 651   0,                                    /* @tp_traverse@ */
 652   0,                                    /* @tp_clear@ */
 653   ecpt_pyrichcompare,                   /* @tp_richcompare@ */
 654   0,                                    /* @tp_weaklistoffset@ */
 655   0,                                    /* @tp_iter@ */
 656   0,                                    /* @tp_iternext@ */
 657   ecptnc_pymethods,                     /* @tp_methods@ */
 658   0,                                    /* @tp_members@ */
 659   ecptnc_pygetset,                      /* @tp_getset@ */
 660   0,                                    /* @tp_base@ */
 661   0,                                    /* @tp_dict@ */
 662   0,                                    /* @tp_descr_get@ */
 663   0,                                    /* @tp_descr_set@ */
 664   0,                                    /* @tp_dictoffset@ */
 665   0,                                    /* @tp_init@ */
 666   PyType_GenericAlloc,                  /* @tp_alloc@ */
 667   ecptnc_pynew,                         /* @tp_new@ */
 668   0,                                    /* @tp_free@ */
 669   0                                     /* @tp_is_gc@ */
 670 };
 671
 672 static PyGetSetDef ecpt_pygetset[] = {
 673 #define GETSETNAME(op, name) ep##op##_##name
 674   GET   (curve,         "P.curve -> elliptic curve containing P")
 675   GET   (point,         "P.point -> standalone curve point")
 676   GET   (x,             "P.x -> Cartesian x coordinate of P")
 677   GET   (y,             "P.y -> Cartesian y coordinate of P")
 678   GET   (_x,            "P._x -> internal x coordinate of P")
 679   GET   (_y,            "P._y -> internal y coordinate of P")
 680   GET   (_z,            "P._z -> internal z coordinate of P, or None")
 681 #undef GETSETNAME
 682   { 0 }
 683 };
 684
 685 static PyMethodDef ecpt_pymethods[] = {
 686 #define METHNAME(func) epmeth_##func
 687   METH  (toraw,         "X.toraw() -> BIN")
 688   KWMETH(ec2osp,        "X.ec2osp([flags = EC_EXPLY]) -> BIN")
 689   METH  (dbl,           "X.dbl() -> X + X")
 690   METH  (oncurvep,      "X.oncurvep() -> BOOL")
 691 #undef METHNAME
 692   { 0 }
 693 };
 694
 695 static PyNumberMethods ecptcurve_pynumber = {
 696   ecpt_pyadd,                           /* @nb_add@ */
 697   ecpt_pysub,                           /* @nb_subtract@ */
 698   ecpt_pymul,                           /* @nb_multiply@ */
 699   0,                                    /* @nb_divide@ */
 700   0,                                    /* @nb_remainder@ */
 701   0,                                    /* @nb_divmod@ */
 702   0,                                    /* @nb_power@ */
 703   ecpt_pyneg,                           /* @nb_negative@ */
 704   ecpt_pyid,                            /* @nb_positive@ */
 705   0,                                    /* @nb_absolute@ */
 706   0,                                    /* @nb_nonzero@ */
 707   0,                                    /* @nb_invert@ */
 708   0,                                    /* @nb_lshift@ */
 709   0,                                    /* @nb_rshift@ */
 710   0,                                    /* @nb_and@ */
 711   0,                                    /* @nb_xor@ */
 712   0,                                    /* @nb_or@ */
 713   0,                                    /* @nb_coerce@ */
 714   0,                                    /* @nb_int@ */
 715   0,                                    /* @nb_long@ */
 716   0,                                    /* @nb_float@ */
 717   0,                                    /* @nb_oct@ */
 718   0,                                    /* @nb_hex@ */
 719
 720   0,                                    /* @nb_inplace_add@ */
 721   0,                                    /* @nb_inplace_subtract@ */
 722   0,                                    /* @nb_inplace_multiply@ */
 723   0,                                    /* @nb_inplace_divide@ */
 724   0,                                    /* @nb_inplace_remainder@ */
 725   0,                                    /* @nb_inplace_power@ */
 726   0,                                    /* @nb_inplace_lshift@ */
 727   0,                                    /* @nb_inplace_rshift@ */
 728   0,                                    /* @nb_inplace_and@ */
 729   0,                                    /* @nb_inplace_xor@ */
 730   0,                                    /* @nb_inplace_or@ */
 731
 732   0,                                    /* @nb_floor_divide@ */
 733   0,                                    /* @nb_true_divide@ */
 734   0,                                    /* @nb_inplace_floor_divide@ */
 735   0,                                    /* @nb_inplace_true_divide@ */
 736 };
 737
 738 static PyTypeObject ecptcurve_pytype_skel = {
 739   PyObject_HEAD_INIT(0) 0,              /* Header */
 740   "ECPtCurve",                          /* @tp_name@ */
 741   sizeof(ecpt_pyobj),                   /* @tp_basicsize@ */
 742   0,                                    /* @tp_itemsize@ */
 743
 744   ecpt_pydealloc,                       /* @tp_dealloc@ */
 745   0,                                    /* @tp_print@ */
 746   0,                                    /* @tp_getattr@ */
 747   0,                                    /* @tp_setattr@ */
 748   0,                                    /* @tp_compare@ */
 749   0,                                    /* @tp_repr@ */
 750   &ecptcurve_pynumber,                  /* @tp_as_number@ */
 751   0,                                    /* @tp_as_sequence@ */
 752   0,                                    /* @tp_as_mapping@ */
 753   0,                                    /* @tp_hash@ */
 754   0,                                    /* @tp_call@ */
 755   0,                                    /* @tp_str@ */
 756   0,                                    /* @tp_getattro@ */
 757   0,                                    /* @tp_setattro@ */
 758   0,                                    /* @tp_as_buffer@ */
 759   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 760     Py_TPFLAGS_CHECKTYPES |
 761     Py_TPFLAGS_BASETYPE,
 762
 763   /* @tp_doc@ */
 764 "Elliptic curve points; abstract base class for points on given curves.",
 765
 766   0,                                    /* @tp_traverse@ */
 767   0,                                    /* @tp_clear@ */
 768   0,                                    /* @tp_richcompare@ */
 769   0,                                    /* @tp_weaklistoffset@ */
 770   0,                                    /* @tp_iter@ */
 771   0,                                    /* @tp_iternext@ */
 772   ecpt_pymethods,                       /* @tp_methods@ */
 773   0,                                    /* @tp_members@ */
 774   ecpt_pygetset,                        /* @tp_getset@ */
 775   0,                                    /* @tp_base@ */
 776   0,                                    /* @tp_dict@ */
 777   0,                                    /* @tp_descr_get@ */
 778   0,                                    /* @tp_descr_set@ */
 779   0,                                    /* @tp_dictoffset@ */
 780   0,                                    /* @tp_init@ */
 781   PyType_GenericAlloc,                  /* @tp_alloc@ */
 782   abstract_pynew,                       /* @tp_new@ */
 783   0,                                    /* @tp_free@ */
 784   0                                     /* @tp_is_gc@ */
 785 };
 786
 787 /*----- Elliptic curves themselves ----------------------------------------*/
 788
 789 static PyObject *eccurve_pyrichcompare(PyObject *x, PyObject *y, int op)
 790 {
 791   int b;
 792
 793   assert(ECCURVE_PYCHECK(x));
 794   if (!ECCURVE_PYCHECK(y)) RETURN_NOTIMPL;
 795   b = ec_samep(ECCURVE_C(x), ECCURVE_C(y));
 796   switch (op) {
 797     case Py_EQ: break;
 798     case Py_NE: b = !b; break;
 799     default: TYERR("can't order elliptic curves");
 800   }
 801   return (getbool(b));
 802 end:
 803   return (0);
 804 }
 805
 806 static PyObject *ecmmul_id(PyObject *me)
 807   { ec p = EC_INIT; return (ecpt_pywrap(me, &p)); }
 808
 809 static int ecmmul_fill(void *pp, PyObject *me, PyObject *x, PyObject *m)
 810 {
 811   ec_mulfactor *f = pp;
 812
 813   EC_CREATE(&f->base);
 814   if (getecpt(ECCURVE_C(me), &f->base, x) ||
 815       (f->exp = getmp(m)) == 0)
 816     return (-1);
 817   return (0);
 818 }
 819
 820 static PyObject *ecmmul_exp(PyObject *me, void *pp, int n)
 821 {
 822   ec p = EC_INIT;
 823   ec_immul(ECCURVE_C(me), &p, pp, n);
 824   return (ecpt_pywrap(me, &p));
 825 }
 826
 827 static void ecmmul_drop(void *pp)
 828 {
 829   ec_mulfactor *f = pp;
 830   EC_DESTROY(&f->base);
 831   MP_DROP(f->exp);
 832 }
 833
 834 static PyObject *ecmeth_mmul(PyObject *me, PyObject *arg)
 835 {
 836   return (mexp_common(me, arg, sizeof(ec_mulfactor),
 837                       ecmmul_id, ecmmul_fill, ecmmul_exp, ecmmul_drop));
 838 }
 839
 840 static PyObject *meth__ECPtCurve_fromraw(PyObject *me, PyObject *arg)
 841 {
 842   char *p;
 843   Py_ssize_t len;
 844   buf b;
 845   PyObject *rc = 0;
 846   ec_curve *cc;
 847   ec pp = EC_INIT;
 848
 849   if (!PyArg_ParseTuple(arg, "Os#:fromraw", &me, &p, &len))
 850     return (0);
 851   buf_init(&b, p, len);
 852   cc = ECCURVE_C(me);
 853   if (ec_getraw(cc, &b, &pp))
 854     VALERR("bad point");
 855   EC_IN(cc, &pp, &pp);
 856   rc = Py_BuildValue("(NN)", ecpt_pywrap(me, &pp), bytestring_pywrapbuf(&b));
 857 end:
 858   return (rc);
 859 }
 860
 861 static PyObject *meth__ECPtCurve_os2ecp(PyObject *me,
 862                                         PyObject *arg, PyObject *kw)
 863 {
 864   char *p;
 865   Py_ssize_t len;
 866   buf b;
 867   PyObject *rc = 0;
 868   ec_curve *cc;
 869   int f = EC_XONLY | EC_LSB | EC_SORT | EC_EXPLY;
 870   ec pp = EC_INIT;
 871   char *kwlist[] = { "class", "buf", "flags", 0 };
 872
 873   if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|f:os2ecp", kwlist,
 874                                    &me, &p, &len, &f))
 875     return (0);
 876   buf_init(&b, p, len);
 877   cc = ECCURVE_C(me);
 878   if (ec_os2ecp(cc, f, &b, &pp)) VALERR("bad point");
 879   EC_IN(cc, &pp, &pp);
 880   rc = Py_BuildValue("(NN)", ecpt_pywrap(me, &pp), bytestring_pywrapbuf(&b));
 881 end:
 882   return (rc);
 883 }
 884
 885 static PyObject *meth__ECPt_frombuf(PyObject *me, PyObject *arg)
 886 {
 887   buf b;
 888   char *p;
 889   Py_ssize_t sz;
 890   PyObject *rc = 0;
 891   ec pp = EC_INIT;
 892
 893   if (!PyArg_ParseTuple(arg, "Os#:frombuf", &me, &p, &sz)) goto end;
 894   buf_init(&b, p, sz);
 895   if (buf_getec(&b, &pp)) VALERR("malformed data");
 896   rc = Py_BuildValue("(NN)", ecpt_pywrapout(me, &pp),
 897                      bytestring_pywrapbuf(&b));
 898 end:
 899   return (rc);
 900 }
 901
 902 static PyObject *meth__ECPt_parse(PyObject *me, PyObject *arg)
 903 {
 904   char *p;
 905   qd_parse qd;
 906   PyObject *rc = 0;
 907   ec pp = EC_INIT;
 908
 909   if (!PyArg_ParseTuple(arg, "Os:parse", &me, &p)) goto end;
 910   qd.p = p;
 911   qd.e = 0;
 912   if (!ec_ptparse(&qd, &pp)) VALERR(qd.e);
 913   rc = Py_BuildValue("(Ns)", ecpt_pywrapout(me, &pp), qd.p);
 914 end:
 915   return (rc);
 916 }
 917
 918 static void eccurve_pydealloc(PyObject *me)
 919 {
 920   ec_destroycurve(ECCURVE_C(me));
 921   Py_DECREF(ECCURVE_FOBJ(me));
 922   PyType_Type.tp_dealloc(me);
 923 }
 924
 925 static PyObject *ecmeth_find(PyObject *me, PyObject *arg)
 926 {
 927   PyObject *x;
 928   mp *xx = 0;
 929   ec p = EC_INIT;
 930   PyObject *rc = 0;
 931
 932   if (!PyArg_ParseTuple(arg, "O:find", &x)) goto end;
 933   if (FIELD_PYCHECK(x) && FE_F(x) == ECCURVE_C(me)->f)
 934     xx = MP_COPY(FE_X(x));
 935   else if ((xx = getmp(x)) == 0)
 936     goto end;
 937   else
 938     xx = F_IN(ECCURVE_C(me)->f, xx, xx);
 939   if (EC_FIND(ECCURVE_C(me), &p, xx) == 0)
 940     VALERR("not on the curve");
 941   rc = ecpt_pywrap(me, &p);
 942 end:
 943   if (xx) MP_DROP(xx);
 944   return (rc);
 945 }
 946
 947 static PyObject *ecmeth_rand(PyObject *me, PyObject *arg, PyObject *kw)
 948 {
 949   char *kwlist[] = { "rng", 0 };
 950   grand *r = &rand_global;
 951   ec p = EC_INIT;
 952
 953   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&:rand", kwlist,
 954                                    convgrand, &r))
 955     return (0);
 956   ec_rand(ECCURVE_C(me), &p, r);
 957   EC_IN(ECCURVE_C(me), &p, &p);
 958   return (ecpt_pywrap(me, &p));
 959 }
 960
 961 static PyObject *eccurve_dopywrap(PyTypeObject *ty,
 962                                   PyObject *fobj, ec_curve *c)
 963 {
 964   eccurve_pyobj *cobj = newtype(ty, 0, c->ops->name);
 965   cobj->c = c;
 966   cobj->fobj = fobj;
 967   cobj->ty.ht_type.tp_basicsize = sizeof(ecpt_pyobj);
 968   cobj->ty.ht_type.tp_base = ecptcurve_pytype;
 969   Py_INCREF(ecptcurve_pytype);
 970   cobj->ty.ht_type.tp_flags = (Py_TPFLAGS_DEFAULT |
 971                                Py_TPFLAGS_BASETYPE |
 972                                Py_TPFLAGS_CHECKTYPES |
 973                                Py_TPFLAGS_HEAPTYPE);
 974   cobj->ty.ht_type.tp_alloc = PyType_GenericAlloc;
 975   cobj->ty.ht_type.tp_free = 0;
 976   cobj->ty.ht_type.tp_new = ecpt_pynew;
 977   typeready(&cobj->ty.ht_type);
 978   return ((PyObject *)cobj);
 979 }
 980
 981 PyObject *eccurve_pywrap(PyObject *fobj, ec_curve *c)
 982 {
 983   PyTypeObject *ty;
 984
 985   if (!fobj)
 986     fobj = field_pywrap(c->f);
 987   else
 988     Py_INCREF(fobj);
 989   assert(FIELD_F(fobj) == c->f);
 990   if (strcmp(EC_NAME(c), "prime") == 0)
 991     ty = ecprimecurve_pytype;
 992   else if (strcmp(EC_NAME(c), "primeproj") == 0)
 993     ty = ecprimeprojcurve_pytype;
 994   else if (strcmp(EC_NAME(c), "bin") == 0)
 995     ty = ecbincurve_pytype;
 996   else if (strcmp(EC_NAME(c), "binproj") == 0)
 997     ty = ecbinprojcurve_pytype;
 998   else
 999     abort();
1000   return (eccurve_dopywrap(ty, fobj, c));
1001 }
1002
1003 static PyObject *eccurve_pynew(PyTypeObject *ty,
1004                                ec_curve *(*make)(field *, mp *, mp *),
1005                                PyObject *arg, PyObject *kw)
1006 {
1007   PyObject *fobj;
1008   PyObject *cobj = 0;
1009   char *kwlist[] = { "field", "a", "b", 0 };
1010   mp *aa = 0, *bb = 0;
1011
1012   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O!O&O&", kwlist,
1013                                    field_pytype, &fobj,
1014                                    convmp, &aa, convmp, &bb))
1015     goto end;
1016   Py_INCREF(fobj);
1017   cobj = eccurve_dopywrap(ty, fobj, make(FIELD_F(fobj), aa, bb));
1018 end:
1019   if (aa) MP_DROP(aa);
1020   if (bb) MP_DROP(bb);
1021   return (cobj);
1022 }
1023
1024 static PyObject *meth__ECCurve_parse(PyObject *me, PyObject *arg)
1025 {
1026   char *p;
1027   qd_parse qd;
1028   ec_curve *c;
1029   PyObject *rc = 0;
1030
1031   if (!PyArg_ParseTuple(arg, "Os:parse", &me, &p))
1032     goto end;
1033   qd.p = p;
1034   qd.e = 0;
1035   if ((c = ec_curveparse(&qd)) == 0)
1036     VALERR(qd.e);
1037   rc = eccurve_pywrap(0, c);
1038 end:
1039   return (rc);
1040 }
1041
1042 static PyObject *ecget_name(PyObject *me, void *hunoz)
1043   { return (PyString_FromString(EC_NAME(ECCURVE_C(me)))); }
1044
1045 static PyObject *ecget_a(PyObject *me, void *hunoz)
1046   { return (fe_pywrap(ECCURVE_FOBJ(me), MP_COPY(ECCURVE_C(me)->a))); }
1047
1048 static PyObject *ecget_b(PyObject *me, void *hunoz)
1049   { return (fe_pywrap(ECCURVE_FOBJ(me), MP_COPY(ECCURVE_C(me)->b))); }
1050
1051 static PyObject *ecget_field(PyObject *me, void *hunoz)
1052   { RETURN_OBJ(ECCURVE_FOBJ(me)); }
1053
1054 static PyObject *ecget_inf(PyObject *me, void *hunoz)
1055   { ec inf = EC_INIT; return (ecpt_pywrap(me, &inf)); }
1056
1057 static PyGetSetDef eccurve_pygetset[] = {
1058 #define GETSETNAME(op, name) ec##op##_##name
1059   GET   (name,          "E.name -> name of this kind of curve")
1060   GET   (a,             "E.a -> first parameter of curve")
1061   GET   (b,             "E.b -> second parameter of curve")
1062   GET   (field,         "E.field -> finite field containing this curve")
1063   GET   (inf,           "E.inf -> point at infinity of this curve")
1064 #undef GETSETNAME
1065   { 0 }
1066 };
1067
1068 static PyMethodDef eccurve_pymethods[] = {
1069 #define METHNAME(name) ecmeth_##name
1070   METH  (mmul,          "\
1071 E.mmul([(P0, N0), (P1, N1), ...]) = N0 P0 + N1 P1 + ...")
1072   METH  (find,          "E.find(X) -> P")
1073   KWMETH(rand,          "E.rand(rng = rand) ->P")
1074 #undef METHNAME
1075   { 0 }
1076 };
1077
1078 static PyTypeObject eccurve_pytype_skel = {
1079   PyObject_HEAD_INIT(0) 0,              /* Header */
1080   "ECCurve",                            /* @tp_name@ */
1081   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1082   0,                                    /* @tp_itemsize@ */
1083
1084   eccurve_pydealloc,                    /* @tp_dealloc@ */
1085   0,                                    /* @tp_print@ */
1086   0,                                    /* @tp_getattr@ */
1087   0,                                    /* @tp_setattr@ */
1088   0,                                    /* @tp_compare@ */
1089   0,                                    /* @tp_repr@ */
1090   0,                                    /* @tp_as_number@ */
1091   0,                                    /* @tp_as_sequence@ */
1092   0,                                    /* @tp_as_mapping@ */
1093   0,                                    /* @tp_hash@ */
1094   0,                                    /* @tp_call@ */
1095   0,                                    /* @tp_str@ */
1096   0,                                    /* @tp_getattro@ */
1097   0,                                    /* @tp_setattro@ */
1098   0,                                    /* @tp_as_buffer@ */
1099   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1100     Py_TPFLAGS_BASETYPE,
1101
1102   /* @tp_doc@ */
1103   "An elliptic curve.  Abstract class.",
1104
1105   0,                                    /* @tp_traverse@ */
1106   0,                                    /* @tp_clear@ */
1107   eccurve_pyrichcompare,                /* @tp_richcompare@ */
1108   0,                                    /* @tp_weaklistoffset@ */
1109   0,                                    /* @tp_iter@ */
1110   0,                                    /* @tp_iternext@ */
1111   eccurve_pymethods,                    /* @tp_methods@ */
1112   0,                                    /* @tp_members@ */
1113   eccurve_pygetset,                     /* @tp_getset@ */
1114   0,                                    /* @tp_base@ */
1115   0,                                    /* @tp_dict@ */
1116   0,                                    /* @tp_descr_get@ */
1117   0,                                    /* @tp_descr_set@ */
1118   0,                                    /* @tp_dictoffset@ */
1119   0,                                    /* @tp_init@ */
1120   PyType_GenericAlloc,                  /* @tp_alloc@ */
1121   abstract_pynew,                       /* @tp_new@ */
1122   0,                                    /* @tp_free@ */
1123   0                                     /* @tp_is_gc@ */
1124 };
1125
1126 static PyObject *ecprimecurve_pynew(PyTypeObject *ty,
1127                                     PyObject *arg, PyObject *kw)
1128 {
1129   return (eccurve_pynew(ty, ec_prime, arg, kw));
1130 }
1131
1132 static PyTypeObject ecprimecurve_pytype_skel = {
1133   PyObject_HEAD_INIT(0) 0,              /* Header */
1134   "ECPrimeCurve",                       /* @tp_name@ */
1135   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1136   0,                                    /* @tp_itemsize@ */
1137
1138   eccurve_pydealloc,                    /* @tp_dealloc@ */
1139   0,                                    /* @tp_print@ */
1140   0,                                    /* @tp_getattr@ */
1141   0,                                    /* @tp_setattr@ */
1142   0,                                    /* @tp_compare@ */
1143   0,                                    /* @tp_repr@ */
1144   0,                                    /* @tp_as_number@ */
1145   0,                                    /* @tp_as_sequence@ */
1146   0,                                    /* @tp_as_mapping@ */
1147   0,                                    /* @tp_hash@ */
1148   0,                                    /* @tp_call@ */
1149   0,                                    /* @tp_str@ */
1150   0,                                    /* @tp_getattro@ */
1151   0,                                    /* @tp_setattro@ */
1152   0,                                    /* @tp_as_buffer@ */
1153   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1154     Py_TPFLAGS_BASETYPE,
1155
1156   /* @tp_doc@ */
1157   "An elliptic curve over a prime field.  Use ecprimeprojcurve.",
1158
1159   0,                                    /* @tp_traverse@ */
1160   0,                                    /* @tp_clear@ */
1161   eccurve_pyrichcompare,                /* @tp_richcompare@ */
1162   0,                                    /* @tp_weaklistoffset@ */
1163   0,                                    /* @tp_iter@ */
1164   0,                                    /* @tp_iternext@ */
1165   0,                                    /* @tp_methods@ */
1166   0,                                    /* @tp_members@ */
1167   0,                                    /* @tp_getset@ */
1168   0,                                    /* @tp_base@ */
1169   0,                                    /* @tp_dict@ */
1170   0,                                    /* @tp_descr_get@ */
1171   0,                                    /* @tp_descr_set@ */
1172   0,                                    /* @tp_dictoffset@ */
1173   0,                                    /* @tp_init@ */
1174   PyType_GenericAlloc,                  /* @tp_alloc@ */
1175   ecprimecurve_pynew,                   /* @tp_new@ */
1176   0,                                    /* @tp_free@ */
1177   0                                     /* @tp_is_gc@ */
1178 };
1179
1180 static PyObject *ecprimeprojcurve_pynew(PyTypeObject *ty,
1181                                         PyObject *arg, PyObject *kw)
1182 {
1183   return (eccurve_pynew(ty, ec_primeproj, arg, kw));
1184 }
1185
1186 static PyTypeObject ecprimeprojcurve_pytype_skel = {
1187   PyObject_HEAD_INIT(0) 0,              /* Header */
1188   "ECPrimeProjCurve",                   /* @tp_name@ */
1189   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1190   0,                                    /* @tp_itemsize@ */
1191
1192   eccurve_pydealloc,                    /* @tp_dealloc@ */
1193   0,                                    /* @tp_print@ */
1194   0,                                    /* @tp_getattr@ */
1195   0,                                    /* @tp_setattr@ */
1196   0,                                    /* @tp_compare@ */
1197   0,                                    /* @tp_repr@ */
1198   0,                                    /* @tp_as_number@ */
1199   0,                                    /* @tp_as_sequence@ */
1200   0,                                    /* @tp_as_mapping@ */
1201   0,                                    /* @tp_hash@ */
1202   0,                                    /* @tp_call@ */
1203   0,                                    /* @tp_str@ */
1204   0,                                    /* @tp_getattro@ */
1205   0,                                    /* @tp_setattro@ */
1206   0,                                    /* @tp_as_buffer@ */
1207   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1208     Py_TPFLAGS_BASETYPE,
1209
1210   /* @tp_doc@ */
1211   "An elliptic curve over a prime field, using projective coordinates.",
1212
1213   0,                                    /* @tp_traverse@ */
1214   0,                                    /* @tp_clear@ */
1215   eccurve_pyrichcompare,                /* @tp_richcompare@ */
1216   0,                                    /* @tp_weaklistoffset@ */
1217   0,                                    /* @tp_iter@ */
1218   0,                                    /* @tp_iternext@ */
1219   0,                                    /* @tp_methods@ */
1220   0,                                    /* @tp_members@ */
1221   0,                                    /* @tp_getset@ */
1222   0,                                    /* @tp_base@ */
1223   0,                                    /* @tp_dict@ */
1224   0,                                    /* @tp_descr_get@ */
1225   0,                                    /* @tp_descr_set@ */
1226   0,                                    /* @tp_dictoffset@ */
1227   0,                                    /* @tp_init@ */
1228   PyType_GenericAlloc,                  /* @tp_alloc@ */
1229   ecprimeprojcurve_pynew,               /* @tp_new@ */
1230   0,                                    /* @tp_free@ */
1231   0                                     /* @tp_is_gc@ */
1232 };
1233
1234 static PyObject *ecbincurve_pynew(PyTypeObject *ty,
1235                                   PyObject *arg, PyObject *kw)
1236 {
1237   return (eccurve_pynew(ty, ec_bin, arg, kw));
1238 }
1239
1240 static PyTypeObject ecbincurve_pytype_skel = {
1241   PyObject_HEAD_INIT(0) 0,              /* Header */
1242   "ECBinCurve",                         /* @tp_name@ */
1243   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1244   0,                                    /* @tp_itemsize@ */
1245
1246   eccurve_pydealloc,                    /* @tp_dealloc@ */
1247   0,                                    /* @tp_print@ */
1248   0,                                    /* @tp_getattr@ */
1249   0,                                    /* @tp_setattr@ */
1250   0,                                    /* @tp_compare@ */
1251   0,                                    /* @tp_repr@ */
1252   0,                                    /* @tp_as_number@ */
1253   0,                                    /* @tp_as_sequence@ */
1254   0,                                    /* @tp_as_mapping@ */
1255   0,                                    /* @tp_hash@ */
1256   0,                                    /* @tp_call@ */
1257   0,                                    /* @tp_str@ */
1258   0,                                    /* @tp_getattro@ */
1259   0,                                    /* @tp_setattro@ */
1260   0,                                    /* @tp_as_buffer@ */
1261   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1262     Py_TPFLAGS_BASETYPE,
1263
1264   /* @tp_doc@ */
1265   "An elliptic curve over a binary field.  Use ecbinprojcurve.",
1266
1267   0,                                    /* @tp_traverse@ */
1268   0,                                    /* @tp_clear@ */
1269   eccurve_pyrichcompare,                /* @tp_richcompare@ */
1270   0,                                    /* @tp_weaklistoffset@ */
1271   0,                                    /* @tp_iter@ */
1272   0,                                    /* @tp_iternext@ */
1273   0,                                    /* @tp_methods@ */
1274   0,                                    /* @tp_members@ */
1275   0,                                    /* @tp_getset@ */
1276   0,                                    /* @tp_base@ */
1277   0,                                    /* @tp_dict@ */
1278   0,                                    /* @tp_descr_get@ */
1279   0,                                    /* @tp_descr_set@ */
1280   0,                                    /* @tp_dictoffset@ */
1281   0,                                    /* @tp_init@ */
1282   PyType_GenericAlloc,                  /* @tp_alloc@ */
1283   ecbincurve_pynew,                     /* @tp_new@ */
1284   0,                                    /* @tp_free@ */
1285   0                                     /* @tp_is_gc@ */
1286 };
1287
1288 static PyObject *ecbinprojcurve_pynew(PyTypeObject *ty,
1289                                       PyObject *arg, PyObject *kw)
1290 {
1291   return (eccurve_pynew(ty, ec_binproj, arg, kw));
1292 }
1293
1294 static PyTypeObject ecbinprojcurve_pytype_skel = {
1295   PyObject_HEAD_INIT(0) 0,              /* Header */
1296   "ECBinProjCurve",                     /* @tp_name@ */
1297   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1298   0,                                    /* @tp_itemsize@ */
1299
1300   eccurve_pydealloc,                    /* @tp_dealloc@ */
1301   0,                                    /* @tp_print@ */
1302   0,                                    /* @tp_getattr@ */
1303   0,                                    /* @tp_setattr@ */
1304   0,                                    /* @tp_compare@ */
1305   0,                                    /* @tp_repr@ */
1306   0,                                    /* @tp_as_number@ */
1307   0,                                    /* @tp_as_sequence@ */
1308   0,                                    /* @tp_as_mapping@ */
1309   0,                                    /* @tp_hash@ */
1310   0,                                    /* @tp_call@ */
1311   0,                                    /* @tp_str@ */
1312   0,                                    /* @tp_getattro@ */
1313   0,                                    /* @tp_setattro@ */
1314   0,                                    /* @tp_as_buffer@ */
1315   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1316     Py_TPFLAGS_BASETYPE,
1317
1318   /* @tp_doc@ */
1319   "An elliptic curve over a binary field, using projective coordinates.",
1320
1321   0,                                    /* @tp_traverse@ */
1322   0,                                    /* @tp_clear@ */
1323   eccurve_pyrichcompare,                /* @tp_richcompare@ */
1324   0,                                    /* @tp_weaklistoffset@ */
1325   0,                                    /* @tp_iter@ */
1326   0,                                    /* @tp_iternext@ */
1327   0,                                    /* @tp_methods@ */
1328   0,                                    /* @tp_members@ */
1329   0,                                    /* @tp_getset@ */
1330   0,                                    /* @tp_base@ */
1331   0,                                    /* @tp_dict@ */
1332   0,                                    /* @tp_descr_get@ */
1333   0,                                    /* @tp_descr_set@ */
1334   0,                                    /* @tp_dictoffset@ */
1335   0,                                    /* @tp_init@ */
1336   PyType_GenericAlloc,                  /* @tp_alloc@ */
1337   ecbinprojcurve_pynew,                 /* @tp_new@ */
1338   0,                                    /* @tp_free@ */
1339   0                                     /* @tp_is_gc@ */
1340 };
1341
1342 /*----- Curve info --------------------------------------------------------*/
1343
1344 static int ncurves = -1;
1345
1346 void ecinfo_copy(ec_info *eic, const ec_info *ei)
1347 {
1348   eic->c = eccurve_copy(ei->c);
1349   EC_CREATE(&eic->g);
1350   EC_COPY(&eic->g, &ei->g);
1351   eic->r = MP_COPY(ei->r);
1352   eic->h = MP_COPY(ei->h);
1353 }
1354
1355 PyObject *ecinfo_pywrap(ec_info *ei)
1356 {
1357   ecinfo_pyobj *o;
1358
1359   o = PyObject_NEW(ecinfo_pyobj, ecinfo_pytype);
1360   o->ei = *ei;
1361   o->cobj = eccurve_pywrap(0, o->ei.c);
1362   Py_INCREF(o->cobj);
1363   return ((PyObject *)o);
1364 }
1365
1366 static void ecinfo_pydealloc(PyObject *me)
1367 {
1368   ec_info *ei = ECINFO_EI(me);
1369   EC_DESTROY(&ei->g);
1370   MP_DROP(ei->r);
1371   MP_DROP(ei->h);
1372   Py_DECREF(ECINFO_COBJ(me));
1373   FREEOBJ(me);
1374 }
1375
1376 static PyObject *ecinfo_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1377 {
1378   ec_info ei = { 0 };
1379   PyObject *e, *g;
1380   char *kwlist[] = { "curve", "G", "r", "h", 0 };
1381   ecinfo_pyobj *rc = 0;
1382
1383   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O!O!O&O&:new", kwlist,
1384                                    eccurve_pytype, &e, ecpt_pytype, &g,
1385                                    convmp, &ei.r, convmp, &ei.h))
1386     goto end;
1387   if (ECPT_C(g) != ECCURVE_C(e) && !ec_samep(ECPT_C(g), ECCURVE_C(e)))
1388     TYERR("point not from this curve");
1389   ei.c = ECCURVE_C(e);
1390   EC_CREATE(&ei.g);
1391   EC_OUT(ei.c, &ei.g, ECPT_P(g));
1392   rc = (ecinfo_pyobj *)ty->tp_alloc(ty, 0);
1393   rc->ei = ei;
1394   rc->cobj = e;
1395   Py_INCREF(rc->cobj);
1396   return ((PyObject *)rc);
1397
1398 end:
1399   mp_drop(ei.r);
1400   mp_drop(ei.h);
1401   return (0);
1402 }
1403
1404 static PyObject *meth__ECInfo_parse(PyObject *me, PyObject *arg)
1405 {
1406   char *p;
1407   qd_parse qd;
1408   ec_info ei;
1409   PyObject *rc = 0;
1410
1411   if (!PyArg_ParseTuple(arg, "Os:parse", &me, &p))
1412     goto end;
1413   qd.p = p;
1414   qd.e = 0;
1415   if (ec_infoparse(&qd, &ei))
1416     VALERR(qd.e);
1417   rc = Py_BuildValue("(Ns)", ecinfo_pywrap(&ei), qd.p);
1418 end:
1419   return (rc);
1420 }
1421
1422 static PyObject *meth__ECInfo__curven(PyObject *me, PyObject *arg)
1423 {
1424   int i;
1425   ec_info ei;
1426   PyObject *rc = 0;
1427
1428   if (!PyArg_ParseTuple(arg, "Oi:_curven", &me, &i)) goto end;
1429   if (i < 0 || i >= ncurves) VALERR("curve index out of range");
1430   ec_infofromdata(&ei, ectab[i].data);
1431   rc = ecinfo_pywrap(&ei);
1432 end:
1433   return (rc);
1434 }
1435
1436 static PyObject *ecinfo_pyrichcompare(PyObject *x, PyObject *y, int op)
1437 {
1438   int b = ec_sameinfop(ECINFO_EI(x), ECINFO_EI(y));
1439   switch (op) {
1440     case Py_EQ: break;
1441     case Py_NE: b = !b;
1442     default: TYERR("can't order elliptic curve infos");
1443   }
1444   return (getbool(b));
1445 end:
1446   return (0);
1447 }
1448
1449 static PyObject *eimeth_check(PyObject *me, PyObject *arg, PyObject *kw)
1450 {
1451   char *kwlist[] = { "rng", 0 };
1452   grand *r = &rand_global;
1453   const char *p;
1454
1455   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&:check", kwlist,
1456                                    convgrand, &r))
1457     goto end;
1458   if ((p = ec_checkinfo(ECINFO_EI(me), r)) != 0)
1459     VALERR(p);
1460   RETURN_ME;
1461 end:
1462   return (0);
1463 }
1464
1465 static PyObject *eiget_curve(PyObject *me, void *hunoz)
1466   { RETURN_OBJ(ECINFO_COBJ(me)); }
1467
1468 static PyObject *eiget_G(PyObject *me, void *hunoz)
1469 {
1470   ec_info *ei = ECINFO_EI(me);
1471   ec p = EC_INIT;
1472   EC_IN(ei->c, &p, &ei->g);
1473   return (ecpt_pywrap(ECINFO_COBJ(me), &p));
1474 }
1475
1476 static PyObject *eiget_r(PyObject *me, void *hunoz)
1477   { return (mp_pywrap(MP_COPY(ECINFO_EI(me)->r))); }
1478
1479 static PyObject *eiget_h(PyObject *me, void *hunoz)
1480   { return (mp_pywrap(MP_COPY(ECINFO_EI(me)->h))); }
1481
1482 static PyGetSetDef ecinfo_pygetset[] = {
1483 #define GETSETNAME(op, name) ei##op##_##name
1484   GET   (curve,         "I.curve -> the elliptic curve")
1485   GET   (G,             "I.G -> generator point for the group")
1486   GET   (r,             "I.r -> order of the group (and hence of G")
1487   GET   (h,             "I.h -> cofactor of the group")
1488 #undef GETSETNAME
1489   { 0 }
1490 };
1491
1492 static PyMethodDef ecinfo_pymethods[] = {
1493 #define METHNAME(name) eimeth_##name
1494   KWMETH(check,         "I.check() -> None")
1495 #undef METHNAME
1496   { 0 }
1497 };
1498
1499 static PyTypeObject ecinfo_pytype_skel = {
1500   PyObject_HEAD_INIT(0) 0,              /* Header */
1501   "ECInfo",                             /* @tp_name@ */
1502   sizeof(ecinfo_pyobj),                 /* @tp_basicsize@ */
1503   0,                                    /* @tp_itemsize@ */
1504
1505   ecinfo_pydealloc,                     /* @tp_dealloc@ */
1506   0,                                    /* @tp_print@ */
1507   0,                                    /* @tp_getattr@ */
1508   0,                                    /* @tp_setattr@ */
1509   0,                                    /* @tp_compare@ */
1510   0,                                    /* @tp_repr@ */
1511   0,                                    /* @tp_as_number@ */
1512   0,                                    /* @tp_as_sequence@ */
1513   0,                                    /* @tp_as_mapping@ */
1514   0,                                    /* @tp_hash@ */
1515   0,                                    /* @tp_call@ */
1516   0,                                    /* @tp_str@ */
1517   0,                                    /* @tp_getattro@ */
1518   0,                                    /* @tp_setattro@ */
1519   0,                                    /* @tp_as_buffer@ */
1520   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1521     Py_TPFLAGS_BASETYPE,
1522
1523   /* @tp_doc@ */
1524   "Elliptic curve domain parameters.",
1525
1526   0,                                    /* @tp_traverse@ */
1527   0,                                    /* @tp_clear@ */
1528   ecinfo_pyrichcompare,                 /* @tp_richcompare@ */
1529   0,                                    /* @tp_weaklistoffset@ */
1530   0,                                    /* @tp_iter@ */
1531   0,                                    /* @tp_iternext@ */
1532   ecinfo_pymethods,                     /* @tp_methods@ */
1533   0,                                    /* @tp_members@ */
1534   ecinfo_pygetset,                      /* @tp_getset@ */
1535   0,                                    /* @tp_base@ */
1536   0,                                    /* @tp_dict@ */
1537   0,                                    /* @tp_descr_get@ */
1538   0,                                    /* @tp_descr_set@ */
1539   0,                                    /* @tp_dictoffset@ */
1540   0,                                    /* @tp_init@ */
1541   PyType_GenericAlloc,                  /* @tp_alloc@ */
1542   ecinfo_pynew,                         /* @tp_new@ */
1543   0,                                    /* @tp_free@ */
1544   0                                     /* @tp_is_gc@ */
1545 };
1546
1547 /*----- Setup -------------------------------------------------------------*/
1548
1549 static PyMethodDef methods[] = {
1550 #define METHNAME(func) meth_##func
1551   METH  (_ECPt_frombuf,         "frombuf(E, STR) -> (P, REST)")
1552   METH  (_ECPtCurve_fromraw,    "fromraw(E, STR) -> (P, REST)")
1553   KWMETH(_ECPtCurve_os2ecp,     "os2ecp(E, STR, [flags = ...]) -> (P, REST)")
1554   METH  (_ECPt_parse,           "parse(E, STR) -> (P, REST)")
1555   METH  (_ECCurve_parse,        "parse(STR) -> (E, REST)")
1556   METH  (_ECInfo_parse,         "parse(STR) -> (I, REST)")
1557   METH  (_ECInfo__curven,       "_curven(N) -> I")
1558 #undef METHNAME
1559   { 0 }
1560 };
1561
1562 void ec_pyinit(void)
1563 {
1564   INITTYPE(ecpt, root);
1565   INITTYPE(ecptcurve, ecpt);
1566   INITTYPE(eccurve, type);
1567   INITTYPE(ecprimecurve, eccurve);
1568   INITTYPE(ecprimeprojcurve, ecprimecurve);
1569   INITTYPE(ecbincurve, eccurve);
1570   INITTYPE(ecbinprojcurve, ecbincurve);
1571   INITTYPE(ecinfo, root);
1572   addmethods(methods);
1573 }
1574
1575 static PyObject *namedcurves(void)
1576 {
1577   int i, j;
1578   const char *p;
1579   PyObject *d, *c;
1580
1581   d = PyDict_New();
1582   for (i = 0; ectab[i].name; i++) {
1583     p = ectab[i].name;
1584     for (j = 0; j < i; j++) {
1585       if (ectab[i].data == ectab[j].data) {
1586         c = PyDict_GetItemString(d, (/*unconst*/ char *)ectab[j].name);
1587         Py_INCREF(c);
1588         goto found;
1589       }
1590     }
1591     c = PyInt_FromLong(i);
1592   found:
1593     PyDict_SetItemString(d, (/*unconst*/ char *)p, c);
1594     Py_DECREF(c);
1595   }
1596   ncurves = i;
1597   return (d);
1598 }
1599
1600 void ec_pyinsert(PyObject *mod)
1601 {
1602   INSERT("ECPt", ecpt_pytype);
1603   INSERT("ECPtCurve", ecptcurve_pytype);
1604   INSERT("ECCurve", eccurve_pytype);
1605   INSERT("ECPrimeCurve", ecprimecurve_pytype);
1606   INSERT("ECPrimeProjCurve", ecprimeprojcurve_pytype);
1607   INSERT("ECBinCurve", ecbincurve_pytype);
1608   INSERT("ECBinProjCurve", ecbinprojcurve_pytype);
1609   INSERT("ECInfo", ecinfo_pytype);
1610   INSERT("_eccurves", namedcurves());
1611 }
1612
1613 /*----- That's all, folks -------------------------------------------------*/