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