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   return (ecpt_pywrap(ECPT_COBJ(y), &zz));
 192 }
 193
 194 static long ecpt_pyhash(PyObject *me)
 195 {
 196   uint32 h;
 197   buf b;
 198   ec p = EC_INIT;
 199   size_t sz = 2*ECPT_C(me)->f->noctets + 1;
 200   octet *q = xmalloc(sz);
 201
 202   h = 0xe0fdd039 + ECPT_C(me)->f->ops->ty;
 203   buf_init(&b, q, sz);
 204   EC_OUT(ECPT_C(me), &p, ECPT_P(me));
 205   ec_putraw(ECPT_C(me), &b, &p);
 206   EC_DESTROY(&p);
 207   h = unihash_hash(&unihash_global, h, BBASE(&b), BLEN(&b));
 208   xfree(q);
 209   return (h % LONG_MAX);
 210 }
 211
 212 static PyObject *ecpt_pyrichcompare(PyObject *x, PyObject *y, int op)
 213 {
 214   ec_curve *c;
 215   PyObject *cobj;
 216   ec p = EC_INIT, q = EC_INIT;
 217   int b;
 218   PyObject *rc = 0;
 219
 220   if (ecbinop(x, y, &c, &cobj, &p, &q)) RETURN_NOTIMPL;
 221   EC_OUT(c, &p, &p);
 222   EC_OUT(c, &q, &q);
 223   switch (op) {
 224     case Py_EQ: b = EC_EQ(&p, &q); break;
 225     case Py_NE: b = !EC_EQ(&p, &q); break;
 226     default: TYERR("elliptic curve points are unordered");
 227   }
 228   rc = getbool(b);
 229 end:
 230   EC_DESTROY(&p);
 231   EC_DESTROY(&q);
 232   return (rc);
 233 }
 234
 235 static PyObject *epmeth_oncurvep(PyObject *me, PyObject *arg)
 236 {
 237   if (!PyArg_ParseTuple(arg, ":oncurvep")) return (0);
 238   return (getbool(EC_ATINF(ECPT_P(me)) ||
 239                   !EC_CHECK(ECPT_C(me), ECPT_P(me))));
 240 }
 241
 242 static PyObject *epmeth_dbl(PyObject *me, PyObject *arg)
 243 {
 244   ec p = EC_INIT;
 245   if (!PyArg_ParseTuple(arg, ":dbl")) return (0);
 246   EC_DBL(ECPT_C(me), &p, ECPT_P(me));
 247   return (ecpt_pywrap(ECPT_COBJ(me), &p));
 248 }
 249
 250 static PyObject *epmeth_tobuf(PyObject *me, PyObject *arg)
 251 {
 252   buf b;
 253   ec p = EC_INIT;
 254   PyObject *rc;
 255   size_t n;
 256
 257   if (!PyArg_ParseTuple(arg, ":tobuf")) return (0);
 258   getecptout(&p, me);
 259   if (EC_ATINF(&p))
 260     n = 2;
 261   else
 262     n = mp_octets(p.x) + mp_octets(p.y) + 4;
 263   rc = bytestring_pywrap(0, n);
 264   buf_init(&b, PyString_AS_STRING(rc), n);
 265   buf_putec(&b, &p);
 266   assert(BOK(&b));
 267   _PyString_Resize(&rc, BLEN(&b));
 268   EC_DESTROY(&p);
 269   return (rc);
 270 }
 271
 272 static PyObject *epmeth_toraw(PyObject *me, PyObject *arg)
 273 {
 274   buf b;
 275   PyObject *rc;
 276   char *p;
 277   ec_curve *c = ECPT_C(me);
 278   ec pp = EC_INIT;
 279   int len;
 280
 281   if (!PyArg_ParseTuple(arg, ":toraw")) return (0);
 282   len = c->f->noctets * 2 + 1;
 283   rc = bytestring_pywrap(0, len);
 284   p = PyString_AS_STRING(rc);
 285   buf_init(&b, p, len);
 286   EC_OUT(c, &pp, ECPT_P(me));
 287   ec_putraw(c, &b, &pp);
 288   EC_DESTROY(&pp);
 289   _PyString_Resize(&rc, BLEN(&b));
 290   return (rc);
 291 }
 292
 293 static PyObject *epmeth_ec2osp(PyObject *me, PyObject *arg, PyObject *kw)
 294 {
 295   buf b;
 296   PyObject *rc;
 297   char *p;
 298   ec_curve *c = ECPT_C(me);
 299   ec pp = EC_INIT;
 300   int f = EC_EXPLY;
 301   int len;
 302   char *kwlist[] = { "flags", 0 };
 303
 304   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:ectosp", kwlist, &f))
 305     return (0);
 306   len = c->f->noctets * 2 + 1;
 307   rc = bytestring_pywrap(0, len);
 308   p = PyString_AS_STRING(rc);
 309   buf_init(&b, p, len);
 310   EC_OUT(c, &pp, ECPT_P(me));
 311   if (ec_ec2osp(c, f, &b, &pp)) {
 312     Py_DECREF(rc); rc = 0;
 313     VALERR("invalid flags");
 314   }
 315   EC_DESTROY(&pp);
 316   _PyString_Resize(&rc, BLEN(&b));
 317 end:
 318   return (rc);
 319 }
 320
 321 static PyObject *epget_curve(PyObject *me, void *hunoz)
 322   { RETURN_OBJ(ECPT_COBJ(me)); }
 323
 324 static PyObject *epncget_ix(PyObject *me, void *hunoz)
 325 {
 326   ec p = EC_INIT;
 327   PyObject *rc;
 328   if (EC_ATINF(ECPT_P(me))) RETURN_NONE;
 329   getecptout(&p, me);
 330   rc = mp_pywrap(MP_COPY(p.x));
 331   EC_DESTROY(&p);
 332   return (rc);
 333 }
 334
 335 static PyObject *epncget_iy(PyObject *me, void *hunoz)
 336 {
 337   ec p = EC_INIT;
 338   PyObject *rc;
 339   if (EC_ATINF(ECPT_P(me))) RETURN_NONE;
 340   getecptout(&p, me);
 341   rc = mp_pywrap(MP_COPY(p.y));
 342   EC_DESTROY(&p);
 343   return (rc);
 344 }
 345
 346 static PyObject *epncget_point(PyObject *me, void *hunoz)
 347   { RETURN_ME; }
 348
 349 static PyObject *epget_point(PyObject *me, void *hunoz)
 350 {
 351   ec p = EC_INIT;
 352   getecptout(&p, me);
 353   return (ecpt_pywrapout(ecpt_pytype, &p));
 354 }
 355
 356 static PyObject *epget_x(PyObject *me, void *hunoz)
 357 {
 358   ec_curve *c = ECPT_C(me);
 359   ec *pp = ECPT_P(me);
 360   PyObject *fobj = ECPT_FOBJ(me);
 361   ec p = EC_INIT;
 362   PyObject *rc;
 363
 364   if (EC_ATINF(pp)) RETURN_NONE;
 365   EC_OUT(c, &p, pp);
 366   rc = fe_pywrap(fobj, F_IN(c->f, MP_NEW, p.x));
 367   EC_DESTROY(&p);
 368   return (rc);
 369 }
 370
 371 static PyObject *epget_y(PyObject *me, void *hunoz)
 372 {
 373   ec_curve *c = ECPT_C(me);
 374   ec *pp = ECPT_P(me);
 375   PyObject *fobj = ECPT_FOBJ(me);
 376   ec p = EC_INIT;
 377   PyObject *rc;
 378
 379   if (EC_ATINF(pp)) RETURN_NONE;
 380   EC_OUT(c, &p, pp);
 381   rc = fe_pywrap(fobj, F_IN(c->f, MP_NEW, p.y));
 382   EC_DESTROY(&p);
 383   return (rc);
 384 }
 385
 386 static PyObject *epget__x(PyObject *me, void *hunoz)
 387 {
 388   if (EC_ATINF(ECPT_P(me))) RETURN_NONE;
 389   return (fe_pywrap(ECPT_FOBJ(me), MP_COPY(ECPT_P(me)->x)));
 390 }
 391
 392 static PyObject *epget__y(PyObject *me, void *hunoz)
 393 {
 394   if (EC_ATINF(ECPT_P(me))) RETURN_NONE;
 395   return (fe_pywrap(ECPT_FOBJ(me), MP_COPY(ECPT_P(me)->y)));
 396 }
 397
 398 static PyObject *epget__z(PyObject *me, void *hunoz)
 399 {
 400   if (EC_ATINF(ECPT_P(me)) || !ECPT_P(me)->z) RETURN_NONE;
 401   return (fe_pywrap(ECPT_FOBJ(me), MP_COPY(ECPT_P(me)->z)));
 402 }
 403
 404 static mp *coord_in(field *f, PyObject *x)
 405 {
 406   mp *xx;
 407   if (FE_PYCHECK(x) && FE_F(x) == f)
 408     return (MP_COPY(FE_X(x)));
 409   else if ((xx = getmp(x)) == 0)
 410     return (0);
 411   else
 412     return (F_IN(f, xx, xx));
 413 }
 414
 415 static int ecptxl_3(ec_curve *c, ec *p,
 416                     PyObject *x, PyObject *y, PyObject *z)
 417 {
 418   int rc = -1;
 419
 420   if (!x || !y || !z) TYERR("missing argument");
 421   if (!c) VALERR("internal form with no curve!");
 422   if ((p->x == coord_in(c->f, x)) == 0 ||
 423       (p->y == coord_in(c->f, y)) == 0 ||
 424       (z != Py_None && (p->z = coord_in(c->f, z))) == 0)
 425     goto end;
 426   if (!p->z) p->z = MP_COPY(c->f->one); /* just in case */
 427   rc = 0;
 428 end:
 429   return (rc);
 430 }
 431
 432 static int ecptxl_2(ec_curve *c, ec *p, PyObject *x, PyObject *y)
 433 {
 434   int rc = -1;
 435
 436   if (!x || !y) TYERR("missing argument");
 437   if ((p->x = getmp(x)) == 0 ||
 438       (p->y = getmp(y)) == 0)
 439     goto end;
 440   if (c) EC_IN(c, p, p);
 441   rc = 0;
 442 end:
 443   return (rc);
 444 }
 445
 446 static int ecptxl_1(ec_curve *c, ec *p, PyObject *x)
 447 {
 448   int rc = -1;
 449   PyObject *y = 0, *z = 0, *t = 0;
 450   mp *xx = 0;
 451   const void *q;
 452   int n;
 453   qd_parse qd;
 454
 455   Py_XINCREF(x);
 456   if (!x || x == Py_None)
 457     /*cool*/;
 458   else if (ECPT_PYCHECK(x)) {
 459     getecptout(p, x);
 460     goto fix;
 461   } else if (PyString_Check(x)) {
 462     if (PyObject_AsReadBuffer(x, &q, 0))
 463       goto end;
 464     qd.p = q;
 465     qd.e = 0;
 466     if (!ec_ptparse(&qd, p))
 467       VALERR(qd.e);
 468     goto fix;
 469   } else if (c && (xx = tomp(x)) != 0) {
 470     xx = F_IN(c->f, xx, xx);
 471     if (!EC_FIND(c, p, xx)) VALERR("not on the curve");
 472   } else if (PySequence_Check(x)) {
 473     t = x; x = 0;
 474     n = PySequence_Size(t);
 475     if (n != 2 && (n != 3 || !c))
 476       TYERR("want sequence of two or three items");
 477     if ((x = PySequence_GetItem(t, 0)) == 0 ||
 478         (y = PySequence_GetItem(t, 1)) == 0 ||
 479         (n == 3 && (z = PySequence_GetItem(t, 2)) == 0))
 480       goto end;
 481     rc = (n == 2) ? ecptxl_2(c, p, x, y) : ecptxl_3(c, p, x, y, z);
 482   } else
 483     TYERR("can't convert to curve point");
 484   goto ok;
 485
 486 fix:
 487   if (c) EC_IN(c, p, p);
 488 ok:
 489   rc = 0;
 490 end:
 491   Py_XDECREF(x); Py_XDECREF(y); Py_XDECREF(z); Py_XDECREF(t);
 492   mp_drop(xx);
 493   return (rc);
 494 }
 495
 496 static int ecptxl(ec_curve *c, ec *p, PyObject *x, PyObject *y, PyObject *z)
 497 {
 498   if (z)
 499     return (ecptxl_3(c, p, x, y, z));
 500   else if (y)
 501     return (ecptxl_2(c, p, x, y));
 502   else
 503     return (ecptxl_1(c, p, x));
 504 }
 505
 506 static PyObject *ecptnc_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
 507 {
 508   PyObject *x = 0, *y = 0, *z = 0;
 509   ec p = EC_INIT;
 510   char *kwlist[] = { "x", "y", 0 };
 511
 512   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|OO:new", kwlist, &x, &y) ||
 513       ecptxl(0, &p, x, y, z))
 514     goto end;
 515   return (ecpt_pywrapout(ty, &p));
 516 end:
 517   EC_DESTROY(&p);
 518   return (0);
 519 }
 520
 521 static PyObject *ecpt_pyint(PyObject *me)
 522 {
 523   ec p = EC_INIT;
 524   long l;
 525   PyObject *rc = 0;
 526   if (EC_ATINF(ECPT_P(me))) VALERR("point at infinity");
 527   getecptout(&p, me);
 528   if (!mp_tolong_checked(p.x, &l, 0)) rc = PyInt_FromLong(l);
 529   else rc = mp_topylong(p.x);
 530 end:
 531   EC_DESTROY(&p);
 532   return (rc);
 533 }
 534
 535 static PyObject *ecpt_pylong(PyObject *me)
 536 {
 537   ec p = EC_INIT;
 538   PyObject *rc = 0;
 539   if (EC_ATINF(ECPT_P(me))) VALERR("point at infinity");
 540   getecptout(&p, me);
 541   rc = mp_topylong(p.x);
 542 end:
 543   EC_DESTROY(&p);
 544   return (rc);
 545 }
 546
 547 static PyObject *ecpt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
 548 {
 549   PyObject *x = 0, *y = 0, *z = 0;
 550   ec p = EC_INIT;
 551   char *kwlist[] = { "x", "y", "z", 0 };
 552
 553   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|OOO:new", kwlist,
 554                                    &x, &y, &z) ||
 555       ecptxl(ECCURVE_C(ty), &p, x, y, z))
 556     goto end;
 557   return (ecpt_pywrap((PyObject *)ty, &p));
 558 end:
 559   EC_DESTROY(&p);
 560   return (0);
 561 }
 562
 563 static PyGetSetDef ecptnc_pygetset[] = {
 564 #define GETSETNAME(op, name) epnc##op##_##name
 565   GET   (ix,            "P.ix -> integer x coordinate of P")
 566   GET   (iy,            "P.iy -> integer y coordinate of P")
 567   GET   (point,         "P.point -> standalone curve point (no-op)")
 568 #undef GETSETNAME
 569   { 0 }
 570 };
 571
 572 static PyMethodDef ecptnc_pymethods[] = {
 573 #define METHNAME(func) epmeth_##func
 574   METH  (tobuf,         "X.tobuf() -> BIN")
 575 #undef METHNAME
 576   { 0 }
 577 };
 578
 579 static PyNumberMethods ecpt_pynumber = {
 580   0,                                    /* @nb_add@ */
 581   0,                                    /* @nb_subtract@ */
 582   0,                                    /* @nb_multiply@ */
 583   0,                                    /* @nb_divide@ */
 584   0,                                    /* @nb_remainder@ */
 585   0,                                    /* @nb_divmod@ */
 586   0,                                    /* @nb_power@ */
 587   0,                                    /* @nb_negative@ */
 588   0,                                    /* @nb_positive@ */
 589   0,                                    /* @nb_absolute@ */
 590   ecpt_pynonzerop,                      /* @nb_nonzero@ */
 591   0,                                    /* @nb_invert@ */
 592   0,                                    /* @nb_lshift@ */
 593   0,                                    /* @nb_rshift@ */
 594   0,                                    /* @nb_and@ */
 595   0,                                    /* @nb_xor@ */
 596   0,                                    /* @nb_or@ */
 597   0,                                    /* @nb_coerce@ */
 598   ecpt_pyint,                           /* @nb_int@ */
 599   ecpt_pylong,                          /* @nb_long@ */
 600   0,                                    /* @nb_float@ */
 601   0,                                    /* @nb_oct@ */
 602   0,                                    /* @nb_hex@ */
 603
 604   0,                                    /* @nb_inplace_add@ */
 605   0,                                    /* @nb_inplace_subtract@ */
 606   0,                                    /* @nb_inplace_multiply@ */
 607   0,                                    /* @nb_inplace_divide@ */
 608   0,                                    /* @nb_inplace_remainder@ */
 609   0,                                    /* @nb_inplace_power@ */
 610   0,                                    /* @nb_inplace_lshift@ */
 611   0,                                    /* @nb_inplace_rshift@ */
 612   0,                                    /* @nb_inplace_and@ */
 613   0,                                    /* @nb_inplace_xor@ */
 614   0,                                    /* @nb_inplace_or@ */
 615
 616   0,                                    /* @nb_floor_divide@ */
 617   0,                                    /* @nb_true_divide@ */
 618   0,                                    /* @nb_inplace_floor_divide@ */
 619   0,                                    /* @nb_inplace_true_divide@ */
 620 };
 621
 622 static PyTypeObject ecpt_pytype_skel = {
 623   PyObject_HEAD_INIT(0) 0,              /* Header */
 624   "ECPt",                               /* @tp_name@ */
 625   sizeof(ecpt_pyobj),                   /* @tp_basicsize@ */
 626   0,                                    /* @tp_itemsize@ */
 627
 628   ecpt_pydealloc,                       /* @tp_dealloc@ */
 629   0,                                    /* @tp_print@ */
 630   0,                                    /* @tp_getattr@ */
 631   0,                                    /* @tp_setattr@ */
 632   0,                                    /* @tp_compare@ */
 633   0,                                    /* @tp_repr@ */
 634   &ecpt_pynumber,                       /* @tp_as_number@ */
 635   0,                                    /* @tp_as_sequence@ */
 636   0,                                    /* @tp_as_mapping@ */
 637   ecpt_pyhash,                          /* @tp_hash@ */
 638   0,                                    /* @tp_call@ */
 639   0,                                    /* @tp_str@ */
 640   0,                                    /* @tp_getattro@ */
 641   0,                                    /* @tp_setattro@ */
 642   0,                                    /* @tp_as_buffer@ */
 643   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 644     Py_TPFLAGS_CHECKTYPES |
 645     Py_TPFLAGS_BASETYPE,
 646
 647   /* @tp_doc@ */
 648 "Elliptic curve points, not associated with any curve.",
 649
 650   0,                                    /* @tp_traverse@ */
 651   0,                                    /* @tp_clear@ */
 652   ecpt_pyrichcompare,                   /* @tp_richcompare@ */
 653   0,                                    /* @tp_weaklistoffset@ */
 654   0,                                    /* @tp_iter@ */
 655   0,                                    /* @tp_iternext@ */
 656   ecptnc_pymethods,                     /* @tp_methods@ */
 657   0,                                    /* @tp_members@ */
 658   ecptnc_pygetset,                      /* @tp_getset@ */
 659   0,                                    /* @tp_base@ */
 660   0,                                    /* @tp_dict@ */
 661   0,                                    /* @tp_descr_get@ */
 662   0,                                    /* @tp_descr_set@ */
 663   0,                                    /* @tp_dictoffset@ */
 664   0,                                    /* @tp_init@ */
 665   PyType_GenericAlloc,                  /* @tp_alloc@ */
 666   ecptnc_pynew,                         /* @tp_new@ */
 667   0,                                    /* @tp_free@ */
 668   0                                     /* @tp_is_gc@ */
 669 };
 670
 671 static PyGetSetDef ecpt_pygetset[] = {
 672 #define GETSETNAME(op, name) ep##op##_##name
 673   GET   (curve,         "P.curve -> elliptic curve containing P")
 674   GET   (point,         "P.point -> standalone curve point")
 675   GET   (x,             "P.x -> Cartesian x coordinate of P")
 676   GET   (y,             "P.y -> Cartesian y coordinate of P")
 677   GET   (_x,            "P._x -> internal x coordinate of P")
 678   GET   (_y,            "P._y -> internal y coordinate of P")
 679   GET   (_z,            "P._z -> internal z coordinate of P, or None")
 680 #undef GETSETNAME
 681   { 0 }
 682 };
 683
 684 static PyMethodDef ecpt_pymethods[] = {
 685 #define METHNAME(func) epmeth_##func
 686   METH  (toraw,         "X.toraw() -> BIN")
 687   KWMETH(ec2osp,        "X.ec2osp([flags = EC_EXPLY]) -> BIN")
 688   METH  (dbl,           "X.dbl() -> X + X")
 689   METH  (oncurvep,      "X.oncurvep() -> BOOL")
 690 #undef METHNAME
 691   { 0 }
 692 };
 693
 694 static PyNumberMethods ecptcurve_pynumber = {
 695   ecpt_pyadd,                           /* @nb_add@ */
 696   ecpt_pysub,                           /* @nb_subtract@ */
 697   ecpt_pymul,                           /* @nb_multiply@ */
 698   0,                                    /* @nb_divide@ */
 699   0,                                    /* @nb_remainder@ */
 700   0,                                    /* @nb_divmod@ */
 701   0,                                    /* @nb_power@ */
 702   ecpt_pyneg,                           /* @nb_negative@ */
 703   ecpt_pyid,                            /* @nb_positive@ */
 704   0,                                    /* @nb_absolute@ */
 705   0,                                    /* @nb_nonzero@ */
 706   0,                                    /* @nb_invert@ */
 707   0,                                    /* @nb_lshift@ */
 708   0,                                    /* @nb_rshift@ */
 709   0,                                    /* @nb_and@ */
 710   0,                                    /* @nb_xor@ */
 711   0,                                    /* @nb_or@ */
 712   0,                                    /* @nb_coerce@ */
 713   0,                                    /* @nb_int@ */
 714   0,                                    /* @nb_long@ */
 715   0,                                    /* @nb_float@ */
 716   0,                                    /* @nb_oct@ */
 717   0,                                    /* @nb_hex@ */
 718
 719   0,                                    /* @nb_inplace_add@ */
 720   0,                                    /* @nb_inplace_subtract@ */
 721   0,                                    /* @nb_inplace_multiply@ */
 722   0,                                    /* @nb_inplace_divide@ */
 723   0,                                    /* @nb_inplace_remainder@ */
 724   0,                                    /* @nb_inplace_power@ */
 725   0,                                    /* @nb_inplace_lshift@ */
 726   0,                                    /* @nb_inplace_rshift@ */
 727   0,                                    /* @nb_inplace_and@ */
 728   0,                                    /* @nb_inplace_xor@ */
 729   0,                                    /* @nb_inplace_or@ */
 730
 731   0,                                    /* @nb_floor_divide@ */
 732   0,                                    /* @nb_true_divide@ */
 733   0,                                    /* @nb_inplace_floor_divide@ */
 734   0,                                    /* @nb_inplace_true_divide@ */
 735 };
 736
 737 static PyTypeObject ecptcurve_pytype_skel = {
 738   PyObject_HEAD_INIT(0) 0,              /* Header */
 739   "ECPtCurve",                          /* @tp_name@ */
 740   sizeof(ecpt_pyobj),                   /* @tp_basicsize@ */
 741   0,                                    /* @tp_itemsize@ */
 742
 743   ecpt_pydealloc,                       /* @tp_dealloc@ */
 744   0,                                    /* @tp_print@ */
 745   0,                                    /* @tp_getattr@ */
 746   0,                                    /* @tp_setattr@ */
 747   0,                                    /* @tp_compare@ */
 748   0,                                    /* @tp_repr@ */
 749   &ecptcurve_pynumber,                  /* @tp_as_number@ */
 750   0,                                    /* @tp_as_sequence@ */
 751   0,                                    /* @tp_as_mapping@ */
 752   0,                                    /* @tp_hash@ */
 753   0,                                    /* @tp_call@ */
 754   0,                                    /* @tp_str@ */
 755   0,                                    /* @tp_getattro@ */
 756   0,                                    /* @tp_setattro@ */
 757   0,                                    /* @tp_as_buffer@ */
 758   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 759     Py_TPFLAGS_CHECKTYPES |
 760     Py_TPFLAGS_BASETYPE,
 761
 762   /* @tp_doc@ */
 763 "Elliptic curve points; abstract base class for points on given curves.",
 764
 765   0,                                    /* @tp_traverse@ */
 766   0,                                    /* @tp_clear@ */
 767   0,                                    /* @tp_richcompare@ */
 768   0,                                    /* @tp_weaklistoffset@ */
 769   0,                                    /* @tp_iter@ */
 770   0,                                    /* @tp_iternext@ */
 771   ecpt_pymethods,                       /* @tp_methods@ */
 772   0,                                    /* @tp_members@ */
 773   ecpt_pygetset,                        /* @tp_getset@ */
 774   0,                                    /* @tp_base@ */
 775   0,                                    /* @tp_dict@ */
 776   0,                                    /* @tp_descr_get@ */
 777   0,                                    /* @tp_descr_set@ */
 778   0,                                    /* @tp_dictoffset@ */
 779   0,                                    /* @tp_init@ */
 780   PyType_GenericAlloc,                  /* @tp_alloc@ */
 781   abstract_pynew,                       /* @tp_new@ */
 782   0,                                    /* @tp_free@ */
 783   0                                     /* @tp_is_gc@ */
 784 };
 785
 786 /*----- Elliptic curves themselves ----------------------------------------*/
 787
 788 static PyObject *eccurve_pyrichcompare(PyObject *x, PyObject *y, int op)
 789 {
 790   int b = ec_samep(ECCURVE_C(x), ECCURVE_C(y));
 791   switch (op) {
 792     case Py_EQ: break;
 793     case Py_NE: b = !b;
 794     default: TYERR("can't order elliptic curves");
 795   }
 796   return (getbool(b));
 797 end:
 798   return (0);
 799 }
 800
 801 static PyObject *ecmmul_id(PyObject *me)
 802   { ec p = EC_INIT; return (ecpt_pywrap(me, &p)); }
 803
 804 static int ecmmul_fill(void *pp, PyObject *me, PyObject *x, PyObject *m)
 805 {
 806   ec_mulfactor *f = pp;
 807
 808   EC_CREATE(&f->base);
 809   if (getecpt(ECCURVE_C(me), &f->base, x) ||
 810       (f->exp = getmp(m)) == 0)
 811     return (-1);
 812   return (0);
 813 }
 814
 815 static PyObject *ecmmul_exp(PyObject *me, void *pp, int n)
 816 {
 817   ec p = EC_INIT;
 818   ec_immul(ECCURVE_C(me), &p, pp, n);
 819   return (ecpt_pywrap(me, &p));
 820 }
 821
 822 static void ecmmul_drop(void *pp)
 823 {
 824   ec_mulfactor *f = pp;
 825   EC_DESTROY(&f->base);
 826   MP_DROP(f->exp);
 827 }
 828
 829 static PyObject *ecmeth_mmul(PyObject *me, PyObject *arg)
 830 {
 831   return (mexp_common(me, arg, sizeof(ec_mulfactor),
 832                       ecmmul_id, ecmmul_fill, ecmmul_exp, ecmmul_drop));
 833 }
 834
 835 static PyObject *meth__ECPtCurve_fromraw(PyObject *me, PyObject *arg)
 836 {
 837   char *p;
 838   Py_ssize_t len;
 839   buf b;
 840   PyObject *rc = 0;
 841   ec_curve *cc;
 842   ec pp = EC_INIT;
 843
 844   if (!PyArg_ParseTuple(arg, "Os#:fromraw", &me, &p, &len))
 845     return (0);
 846   buf_init(&b, p, len);
 847   cc = ECCURVE_C(me);
 848   if (ec_getraw(cc, &b, &pp))
 849     VALERR("bad point");
 850   EC_IN(cc, &pp, &pp);
 851   rc = Py_BuildValue("(NN)", ecpt_pywrap(me, &pp), bytestring_pywrapbuf(&b));
 852 end:
 853   return (rc);
 854 }
 855
 856 static PyObject *meth__ECPtCurve_os2ecp(PyObject *me,
 857                                         PyObject *arg, PyObject *kw)
 858 {
 859   char *p;
 860   Py_ssize_t len;
 861   buf b;
 862   PyObject *rc = 0;
 863   ec_curve *cc;
 864   int f = EC_XONLY | EC_LSB | EC_SORT | EC_EXPLY;
 865   ec pp = EC_INIT;
 866   char *kwlist[] = { "buf", "flags", 0 };
 867
 868   if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|f:os2ecp", kwlist,
 869                                    &me, &p, &len, &f))
 870     return (0);
 871   buf_init(&b, p, len);
 872   cc = ECCURVE_C(me);
 873   if (ec_os2ecp(cc, f, &b, &pp)) VALERR("bad point");
 874   EC_IN(cc, &pp, &pp);
 875   rc = Py_BuildValue("(NN)", ecpt_pywrap(me, &pp), bytestring_pywrapbuf(&b));
 876 end:
 877   return (rc);
 878 }
 879
 880 static PyObject *meth__ECPt_frombuf(PyObject *me, PyObject *arg)
 881 {
 882   buf b;
 883   char *p;
 884   Py_ssize_t sz;
 885   PyObject *rc = 0;
 886   ec pp = EC_INIT;
 887
 888   if (!PyArg_ParseTuple(arg, "Os#:frombuf", &me, &p, &sz)) goto end;
 889   buf_init(&b, p, sz);
 890   if (buf_getec(&b, &pp)) VALERR("malformed data");
 891   rc = Py_BuildValue("(NN)", ecpt_pywrapout(me, &pp),
 892                      bytestring_pywrapbuf(&b));
 893 end:
 894   return (rc);
 895 }
 896
 897 static PyObject *meth__ECPt_parse(PyObject *me, PyObject *arg)
 898 {
 899   char *p;
 900   qd_parse qd;
 901   PyObject *rc = 0;
 902   ec pp = EC_INIT;
 903
 904   if (!PyArg_ParseTuple(arg, "Os:parse", &me, &p)) goto end;
 905   qd.p = p;
 906   qd.e = 0;
 907   if (!ec_ptparse(&qd, &pp)) VALERR(qd.e);
 908   rc = Py_BuildValue("(Ns)", ecpt_pywrapout(me, &pp), qd.p);
 909 end:
 910   return (rc);
 911 }
 912
 913 static void eccurve_pydealloc(PyObject *me)
 914 {
 915   ec_destroycurve(ECCURVE_C(me));
 916   Py_DECREF(ECCURVE_FOBJ(me));
 917   PyType_Type.tp_dealloc(me);
 918 }
 919
 920 static PyObject *ecmeth_find(PyObject *me, PyObject *arg)
 921 {
 922   PyObject *x;
 923   mp *xx = 0;
 924   ec p = EC_INIT;
 925   PyObject *rc = 0;
 926
 927   if (!PyArg_ParseTuple(arg, "O:find", &x)) goto end;
 928   if (FIELD_PYCHECK(x) && FE_F(x) == ECCURVE_C(me)->f)
 929     xx = MP_COPY(FE_X(x));
 930   else if ((xx = getmp(x)) == 0)
 931     goto end;
 932   else
 933     xx = F_IN(ECCURVE_C(me)->f, xx, xx);
 934   if (EC_FIND(ECCURVE_C(me), &p, xx) == 0)
 935     VALERR("not on the curve");
 936   rc = ecpt_pywrap(me, &p);
 937 end:
 938   if (xx) MP_DROP(xx);
 939   return (rc);
 940 }
 941
 942 static PyObject *ecmeth_rand(PyObject *me, PyObject *arg, PyObject *kw)
 943 {
 944   char *kwlist[] = { "rng", 0 };
 945   grand *r = &rand_global;
 946   ec p = EC_INIT;
 947
 948   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&:rand", kwlist,
 949                                    convgrand, &r))
 950     return (0);
 951   ec_rand(ECCURVE_C(me), &p, r);
 952   EC_IN(ECCURVE_C(me), &p, &p);
 953   return (ecpt_pywrap(me, &p));
 954 }
 955
 956 static PyObject *eccurve_dopywrap(PyTypeObject *ty,
 957                                   PyObject *fobj, ec_curve *c)
 958 {
 959   eccurve_pyobj *cobj = newtype(ty, 0, c->ops->name);
 960   cobj->c = c;
 961   cobj->fobj = fobj;
 962   cobj->ty.ht_type.tp_basicsize = sizeof(ecpt_pyobj);
 963   cobj->ty.ht_type.tp_base = ecptcurve_pytype;
 964   Py_INCREF(ecptcurve_pytype);
 965   cobj->ty.ht_type.tp_flags = (Py_TPFLAGS_DEFAULT |
 966                                Py_TPFLAGS_BASETYPE |
 967                                Py_TPFLAGS_CHECKTYPES |
 968                                Py_TPFLAGS_HEAPTYPE);
 969   cobj->ty.ht_type.tp_alloc = PyType_GenericAlloc;
 970   cobj->ty.ht_type.tp_free = 0;
 971   cobj->ty.ht_type.tp_new = ecpt_pynew;
 972   typeready(&cobj->ty.ht_type);
 973   return ((PyObject *)cobj);
 974 }
 975
 976 PyObject *eccurve_pywrap(PyObject *fobj, ec_curve *c)
 977 {
 978   PyTypeObject *ty;
 979
 980   if (!fobj)
 981     fobj = field_pywrap(c->f);
 982   else
 983     Py_INCREF(fobj);
 984   assert(FIELD_F(fobj) == c->f);
 985   if (strcmp(EC_NAME(c), "prime") == 0)
 986     ty = ecprimecurve_pytype;
 987   else if (strcmp(EC_NAME(c), "primeproj") == 0)
 988     ty = ecprimeprojcurve_pytype;
 989   else if (strcmp(EC_NAME(c), "bin") == 0)
 990     ty = ecbincurve_pytype;
 991   else if (strcmp(EC_NAME(c), "binproj") == 0)
 992     ty = ecbinprojcurve_pytype;
 993   else
 994     abort();
 995   return (eccurve_dopywrap(ty, fobj, c));
 996 }
 997
 998 static PyObject *eccurve_pynew(PyTypeObject *ty,
 999                                ec_curve *(*make)(field *, mp *, mp *),
1000                                PyObject *arg, PyObject *kw)
1001 {
1002   PyObject *fobj;
1003   PyObject *cobj = 0;
1004   char *kwlist[] = { "field", "a", "b", 0 };
1005   mp *aa = 0, *bb = 0;
1006
1007   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O!O&O&", kwlist,
1008                                    field_pytype, &fobj,
1009                                    convmp, &aa, convmp, &bb))
1010     goto end;
1011   Py_INCREF(fobj);
1012   cobj = eccurve_dopywrap(ty, fobj, make(FIELD_F(fobj), aa, bb));
1013 end:
1014   if (aa) MP_DROP(aa);
1015   if (bb) MP_DROP(bb);
1016   return (cobj);
1017 }
1018
1019 static PyObject *meth__ECCurve_parse(PyObject *me, PyObject *arg)
1020 {
1021   char *p;
1022   qd_parse qd;
1023   ec_curve *c;
1024   PyObject *rc = 0;
1025
1026   if (!PyArg_ParseTuple(arg, "Os:parse", &me, &p))
1027     goto end;
1028   qd.p = p;
1029   qd.e = 0;
1030   if ((c = ec_curveparse(&qd)) == 0)
1031     VALERR(qd.e);
1032   rc = eccurve_pywrap(0, c);
1033 end:
1034   return (rc);
1035 }
1036
1037 static PyObject *ecget_name(PyObject *me, void *hunoz)
1038   { return (PyString_FromString(EC_NAME(ECCURVE_C(me)))); }
1039
1040 static PyObject *ecget_a(PyObject *me, void *hunoz)
1041   { return (fe_pywrap(ECCURVE_FOBJ(me), MP_COPY(ECCURVE_C(me)->a))); }
1042
1043 static PyObject *ecget_b(PyObject *me, void *hunoz)
1044   { return (fe_pywrap(ECCURVE_FOBJ(me), MP_COPY(ECCURVE_C(me)->b))); }
1045
1046 static PyObject *ecget_field(PyObject *me, void *hunoz)
1047   { RETURN_OBJ(ECCURVE_FOBJ(me)); }
1048
1049 static PyObject *ecget_inf(PyObject *me, void *hunoz)
1050   { ec inf = EC_INIT; return (ecpt_pywrap(me, &inf)); }
1051
1052 static PyGetSetDef eccurve_pygetset[] = {
1053 #define GETSETNAME(op, name) ec##op##_##name
1054   GET   (name,          "E.name -> name of this kind of curve")
1055   GET   (a,             "E.a -> first parameter of curve")
1056   GET   (b,             "E.b -> second parameter of curve")
1057   GET   (field,         "E.field -> finite field containing this curve")
1058   GET   (inf,           "E.inf -> point at infinity of this curve")
1059 #undef GETSETNAME
1060   { 0 }
1061 };
1062
1063 static PyMethodDef eccurve_pymethods[] = {
1064 #define METHNAME(name) ecmeth_##name
1065   METH  (mmul,          "\
1066 E.mmul([(P0, N0), (P1, N1), ...]) = N0 P0 + N1 P1 + ...")
1067   METH  (find,          "E.find(X) -> P")
1068   KWMETH(rand,          "E.rand(rng = rand) ->P")
1069 #undef METHNAME
1070   { 0 }
1071 };
1072
1073 static PyTypeObject eccurve_pytype_skel = {
1074   PyObject_HEAD_INIT(0) 0,              /* Header */
1075   "ECCurve",                            /* @tp_name@ */
1076   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1077   0,                                    /* @tp_itemsize@ */
1078
1079   eccurve_pydealloc,                    /* @tp_dealloc@ */
1080   0,                                    /* @tp_print@ */
1081   0,                                    /* @tp_getattr@ */
1082   0,                                    /* @tp_setattr@ */
1083   0,                                    /* @tp_compare@ */
1084   0,                                    /* @tp_repr@ */
1085   0,                                    /* @tp_as_number@ */
1086   0,                                    /* @tp_as_sequence@ */
1087   0,                                    /* @tp_as_mapping@ */
1088   0,                                    /* @tp_hash@ */
1089   0,                                    /* @tp_call@ */
1090   0,                                    /* @tp_str@ */
1091   0,                                    /* @tp_getattro@ */
1092   0,                                    /* @tp_setattro@ */
1093   0,                                    /* @tp_as_buffer@ */
1094   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1095     Py_TPFLAGS_BASETYPE,
1096
1097   /* @tp_doc@ */
1098   "An elliptic curve.  Abstract class.",
1099
1100   0,                                    /* @tp_traverse@ */
1101   0,                                    /* @tp_clear@ */
1102   eccurve_pyrichcompare,                /* @tp_richcompare@ */
1103   0,                                    /* @tp_weaklistoffset@ */
1104   0,                                    /* @tp_iter@ */
1105   0,                                    /* @tp_iternext@ */
1106   eccurve_pymethods,                    /* @tp_methods@ */
1107   0,                                    /* @tp_members@ */
1108   eccurve_pygetset,                     /* @tp_getset@ */
1109   0,                                    /* @tp_base@ */
1110   0,                                    /* @tp_dict@ */
1111   0,                                    /* @tp_descr_get@ */
1112   0,                                    /* @tp_descr_set@ */
1113   0,                                    /* @tp_dictoffset@ */
1114   0,                                    /* @tp_init@ */
1115   PyType_GenericAlloc,                  /* @tp_alloc@ */
1116   abstract_pynew,                       /* @tp_new@ */
1117   0,                                    /* @tp_free@ */
1118   0                                     /* @tp_is_gc@ */
1119 };
1120
1121 static PyObject *ecprimecurve_pynew(PyTypeObject *ty,
1122                                     PyObject *arg, PyObject *kw)
1123 {
1124   return (eccurve_pynew(ty, ec_prime, arg, kw));
1125 }
1126
1127 static PyTypeObject ecprimecurve_pytype_skel = {
1128   PyObject_HEAD_INIT(0) 0,              /* Header */
1129   "ECPrimeCurve",                       /* @tp_name@ */
1130   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1131   0,                                    /* @tp_itemsize@ */
1132
1133   eccurve_pydealloc,                    /* @tp_dealloc@ */
1134   0,                                    /* @tp_print@ */
1135   0,                                    /* @tp_getattr@ */
1136   0,                                    /* @tp_setattr@ */
1137   0,                                    /* @tp_compare@ */
1138   0,                                    /* @tp_repr@ */
1139   0,                                    /* @tp_as_number@ */
1140   0,                                    /* @tp_as_sequence@ */
1141   0,                                    /* @tp_as_mapping@ */
1142   0,                                    /* @tp_hash@ */
1143   0,                                    /* @tp_call@ */
1144   0,                                    /* @tp_str@ */
1145   0,                                    /* @tp_getattro@ */
1146   0,                                    /* @tp_setattro@ */
1147   0,                                    /* @tp_as_buffer@ */
1148   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1149     Py_TPFLAGS_BASETYPE,
1150
1151   /* @tp_doc@ */
1152   "An elliptic curve over a prime field.  Use ecprimeprojcurve.",
1153
1154   0,                                    /* @tp_traverse@ */
1155   0,                                    /* @tp_clear@ */
1156   eccurve_pyrichcompare,                /* @tp_richcompare@ */
1157   0,                                    /* @tp_weaklistoffset@ */
1158   0,                                    /* @tp_iter@ */
1159   0,                                    /* @tp_iternext@ */
1160   0,                                    /* @tp_methods@ */
1161   0,                                    /* @tp_members@ */
1162   0,                                    /* @tp_getset@ */
1163   0,                                    /* @tp_base@ */
1164   0,                                    /* @tp_dict@ */
1165   0,                                    /* @tp_descr_get@ */
1166   0,                                    /* @tp_descr_set@ */
1167   0,                                    /* @tp_dictoffset@ */
1168   0,                                    /* @tp_init@ */
1169   PyType_GenericAlloc,                  /* @tp_alloc@ */
1170   ecprimecurve_pynew,                   /* @tp_new@ */
1171   0,                                    /* @tp_free@ */
1172   0                                     /* @tp_is_gc@ */
1173 };
1174
1175 static PyObject *ecprimeprojcurve_pynew(PyTypeObject *ty,
1176                                         PyObject *arg, PyObject *kw)
1177 {
1178   return (eccurve_pynew(ty, ec_primeproj, arg, kw));
1179 }
1180
1181 static PyTypeObject ecprimeprojcurve_pytype_skel = {
1182   PyObject_HEAD_INIT(0) 0,              /* Header */
1183   "ECPrimeProjCurve",                   /* @tp_name@ */
1184   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1185   0,                                    /* @tp_itemsize@ */
1186
1187   eccurve_pydealloc,                    /* @tp_dealloc@ */
1188   0,                                    /* @tp_print@ */
1189   0,                                    /* @tp_getattr@ */
1190   0,                                    /* @tp_setattr@ */
1191   0,                                    /* @tp_compare@ */
1192   0,                                    /* @tp_repr@ */
1193   0,                                    /* @tp_as_number@ */
1194   0,                                    /* @tp_as_sequence@ */
1195   0,                                    /* @tp_as_mapping@ */
1196   0,                                    /* @tp_hash@ */
1197   0,                                    /* @tp_call@ */
1198   0,                                    /* @tp_str@ */
1199   0,                                    /* @tp_getattro@ */
1200   0,                                    /* @tp_setattro@ */
1201   0,                                    /* @tp_as_buffer@ */
1202   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1203     Py_TPFLAGS_BASETYPE,
1204
1205   /* @tp_doc@ */
1206   "An elliptic curve over a prime field, using projective coordinates.",
1207
1208   0,                                    /* @tp_traverse@ */
1209   0,                                    /* @tp_clear@ */
1210   eccurve_pyrichcompare,                /* @tp_richcompare@ */
1211   0,                                    /* @tp_weaklistoffset@ */
1212   0,                                    /* @tp_iter@ */
1213   0,                                    /* @tp_iternext@ */
1214   0,                                    /* @tp_methods@ */
1215   0,                                    /* @tp_members@ */
1216   0,                                    /* @tp_getset@ */
1217   0,                                    /* @tp_base@ */
1218   0,                                    /* @tp_dict@ */
1219   0,                                    /* @tp_descr_get@ */
1220   0,                                    /* @tp_descr_set@ */
1221   0,                                    /* @tp_dictoffset@ */
1222   0,                                    /* @tp_init@ */
1223   PyType_GenericAlloc,                  /* @tp_alloc@ */
1224   ecprimeprojcurve_pynew,               /* @tp_new@ */
1225   0,                                    /* @tp_free@ */
1226   0                                     /* @tp_is_gc@ */
1227 };
1228
1229 static PyObject *ecbincurve_pynew(PyTypeObject *ty,
1230                                   PyObject *arg, PyObject *kw)
1231 {
1232   return (eccurve_pynew(ty, ec_bin, arg, kw));
1233 }
1234
1235 static PyTypeObject ecbincurve_pytype_skel = {
1236   PyObject_HEAD_INIT(0) 0,              /* Header */
1237   "ECBinCurve",                         /* @tp_name@ */
1238   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1239   0,                                    /* @tp_itemsize@ */
1240
1241   eccurve_pydealloc,                    /* @tp_dealloc@ */
1242   0,                                    /* @tp_print@ */
1243   0,                                    /* @tp_getattr@ */
1244   0,                                    /* @tp_setattr@ */
1245   0,                                    /* @tp_compare@ */
1246   0,                                    /* @tp_repr@ */
1247   0,                                    /* @tp_as_number@ */
1248   0,                                    /* @tp_as_sequence@ */
1249   0,                                    /* @tp_as_mapping@ */
1250   0,                                    /* @tp_hash@ */
1251   0,                                    /* @tp_call@ */
1252   0,                                    /* @tp_str@ */
1253   0,                                    /* @tp_getattro@ */
1254   0,                                    /* @tp_setattro@ */
1255   0,                                    /* @tp_as_buffer@ */
1256   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1257     Py_TPFLAGS_BASETYPE,
1258
1259   /* @tp_doc@ */
1260   "An elliptic curve over a binary field.  Use ecbinprojcurve.",
1261
1262   0,                                    /* @tp_traverse@ */
1263   0,                                    /* @tp_clear@ */
1264   eccurve_pyrichcompare,                /* @tp_richcompare@ */
1265   0,                                    /* @tp_weaklistoffset@ */
1266   0,                                    /* @tp_iter@ */
1267   0,                                    /* @tp_iternext@ */
1268   0,                                    /* @tp_methods@ */
1269   0,                                    /* @tp_members@ */
1270   0,                                    /* @tp_getset@ */
1271   0,                                    /* @tp_base@ */
1272   0,                                    /* @tp_dict@ */
1273   0,                                    /* @tp_descr_get@ */
1274   0,                                    /* @tp_descr_set@ */
1275   0,                                    /* @tp_dictoffset@ */
1276   0,                                    /* @tp_init@ */
1277   PyType_GenericAlloc,                  /* @tp_alloc@ */
1278   ecbincurve_pynew,                     /* @tp_new@ */
1279   0,                                    /* @tp_free@ */
1280   0                                     /* @tp_is_gc@ */
1281 };
1282
1283 static PyObject *ecbinprojcurve_pynew(PyTypeObject *ty,
1284                                       PyObject *arg, PyObject *kw)
1285 {
1286   return (eccurve_pynew(ty, ec_binproj, arg, kw));
1287 }
1288
1289 static PyTypeObject ecbinprojcurve_pytype_skel = {
1290   PyObject_HEAD_INIT(0) 0,              /* Header */
1291   "ECBinProjCurve",                     /* @tp_name@ */
1292   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1293   0,                                    /* @tp_itemsize@ */
1294
1295   eccurve_pydealloc,                    /* @tp_dealloc@ */
1296   0,                                    /* @tp_print@ */
1297   0,                                    /* @tp_getattr@ */
1298   0,                                    /* @tp_setattr@ */
1299   0,                                    /* @tp_compare@ */
1300   0,                                    /* @tp_repr@ */
1301   0,                                    /* @tp_as_number@ */
1302   0,                                    /* @tp_as_sequence@ */
1303   0,                                    /* @tp_as_mapping@ */
1304   0,                                    /* @tp_hash@ */
1305   0,                                    /* @tp_call@ */
1306   0,                                    /* @tp_str@ */
1307   0,                                    /* @tp_getattro@ */
1308   0,                                    /* @tp_setattro@ */
1309   0,                                    /* @tp_as_buffer@ */
1310   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1311     Py_TPFLAGS_BASETYPE,
1312
1313   /* @tp_doc@ */
1314   "An elliptic curve over a binary field, using projective coordinates.",
1315
1316   0,                                    /* @tp_traverse@ */
1317   0,                                    /* @tp_clear@ */
1318   eccurve_pyrichcompare,                /* @tp_richcompare@ */
1319   0,                                    /* @tp_weaklistoffset@ */
1320   0,                                    /* @tp_iter@ */
1321   0,                                    /* @tp_iternext@ */
1322   0,                                    /* @tp_methods@ */
1323   0,                                    /* @tp_members@ */
1324   0,                                    /* @tp_getset@ */
1325   0,                                    /* @tp_base@ */
1326   0,                                    /* @tp_dict@ */
1327   0,                                    /* @tp_descr_get@ */
1328   0,                                    /* @tp_descr_set@ */
1329   0,                                    /* @tp_dictoffset@ */
1330   0,                                    /* @tp_init@ */
1331   PyType_GenericAlloc,                  /* @tp_alloc@ */
1332   ecbinprojcurve_pynew,                 /* @tp_new@ */
1333   0,                                    /* @tp_free@ */
1334   0                                     /* @tp_is_gc@ */
1335 };
1336
1337 /*----- Curve info --------------------------------------------------------*/
1338
1339 static int ncurves = -1;
1340
1341 void ecinfo_copy(ec_info *eic, const ec_info *ei)
1342 {
1343   eic->c = eccurve_copy(ei->c);
1344   EC_CREATE(&eic->g);
1345   EC_COPY(&eic->g, &ei->g);
1346   eic->r = MP_COPY(ei->r);
1347   eic->h = MP_COPY(ei->h);
1348 }
1349
1350 PyObject *ecinfo_pywrap(ec_info *ei)
1351 {
1352   ecinfo_pyobj *o;
1353
1354   o = PyObject_NEW(ecinfo_pyobj, ecinfo_pytype);
1355   o->ei = *ei;
1356   o->cobj = eccurve_pywrap(0, o->ei.c);
1357   Py_INCREF(o->cobj);
1358   return ((PyObject *)o);
1359 }
1360
1361 static void ecinfo_pydealloc(PyObject *me)
1362 {
1363   ec_info *ei = ECINFO_EI(me);
1364   EC_DESTROY(&ei->g);
1365   MP_DROP(ei->r);
1366   MP_DROP(ei->h);
1367   Py_DECREF(ECINFO_COBJ(me));
1368   FREEOBJ(me);
1369 }
1370
1371 static PyObject *ecinfo_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1372 {
1373   ec_info ei = { 0 };
1374   PyObject *e, *g;
1375   char *kwlist[] = { "curve", "G", "r", "h", 0 };
1376   ecinfo_pyobj *rc = 0;
1377
1378   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O!O!O&O&:new", kwlist,
1379                                    eccurve_pytype, &e, ecpt_pytype, &g,
1380                                    convmp, &ei.r, convmp, &ei.h))
1381     goto end;
1382   if (ECPT_C(g) != ECCURVE_C(e) && !ec_samep(ECPT_C(g), ECCURVE_C(e)))
1383     TYERR("point not from this curve");
1384   ei.c = ECCURVE_C(e);
1385   EC_CREATE(&ei.g);
1386   EC_OUT(ei.c, &ei.g, ECPT_P(g));
1387   rc = (ecinfo_pyobj *)ty->tp_alloc(ty, 0);
1388   rc->ei = ei;
1389   rc->cobj = e;
1390   Py_INCREF(rc->cobj);
1391   return ((PyObject *)rc);
1392
1393 end:
1394   mp_drop(ei.r);
1395   mp_drop(ei.h);
1396   return (0);
1397 }
1398
1399 static PyObject *meth__ECInfo_parse(PyObject *me, PyObject *arg)
1400 {
1401   char *p;
1402   qd_parse qd;
1403   ec_info ei;
1404   PyObject *rc = 0;
1405
1406   if (!PyArg_ParseTuple(arg, "Os:parse", &me, &p))
1407     goto end;
1408   qd.p = p;
1409   qd.e = 0;
1410   if (ec_infoparse(&qd, &ei))
1411     VALERR(qd.e);
1412   rc = Py_BuildValue("(Ns)", ecinfo_pywrap(&ei), qd.p);
1413 end:
1414   return (rc);
1415 }
1416
1417 static PyObject *meth__ECInfo__curven(PyObject *me, PyObject *arg)
1418 {
1419   int i;
1420   ec_info ei;
1421   PyObject *rc = 0;
1422
1423   if (!PyArg_ParseTuple(arg, "Oi:_curven", &me, &i)) goto end;
1424   if (i < 0 || i >= ncurves) VALERR("curve index out of range");
1425   ec_infofromdata(&ei, ectab[i].data);
1426   rc = ecinfo_pywrap(&ei);
1427 end:
1428   return (rc);
1429 }
1430
1431 static PyObject *ecinfo_pyrichcompare(PyObject *x, PyObject *y, int op)
1432 {
1433   int b = ec_sameinfop(ECINFO_EI(x), ECINFO_EI(y));
1434   switch (op) {
1435     case Py_EQ: break;
1436     case Py_NE: b = !b;
1437     default: TYERR("can't order elliptic curve infos");
1438   }
1439   return (getbool(b));
1440 end:
1441   return (0);
1442 }
1443
1444 static PyObject *eimeth_check(PyObject *me, PyObject *arg, PyObject *kw)
1445 {
1446   char *kwlist[] = { "rng", 0 };
1447   grand *r = &rand_global;
1448   const char *p;
1449
1450   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&:check", kwlist,
1451                                    convgrand, &r))
1452     goto end;
1453   if ((p = ec_checkinfo(ECINFO_EI(me), r)) != 0)
1454     VALERR(p);
1455   RETURN_ME;
1456 end:
1457   return (0);
1458 }
1459
1460 static PyObject *eiget_curve(PyObject *me, void *hunoz)
1461   { RETURN_OBJ(ECINFO_COBJ(me)); }
1462
1463 static PyObject *eiget_G(PyObject *me, void *hunoz)
1464 {
1465   ec_info *ei = ECINFO_EI(me);
1466   ec p = EC_INIT;
1467   EC_IN(ei->c, &p, &ei->g);
1468   return (ecpt_pywrap(ECINFO_COBJ(me), &p));
1469 }
1470
1471 static PyObject *eiget_r(PyObject *me, void *hunoz)
1472   { return (mp_pywrap(MP_COPY(ECINFO_EI(me)->r))); }
1473
1474 static PyObject *eiget_h(PyObject *me, void *hunoz)
1475   { return (mp_pywrap(MP_COPY(ECINFO_EI(me)->h))); }
1476
1477 static PyGetSetDef ecinfo_pygetset[] = {
1478 #define GETSETNAME(op, name) ei##op##_##name
1479   GET   (curve,         "I.curve -> the elliptic curve")
1480   GET   (G,             "I.G -> generator point for the group")
1481   GET   (r,             "I.r -> order of the group (and hence of G")
1482   GET   (h,             "I.h -> cofactor of the group")
1483 #undef GETSETNAME
1484   { 0 }
1485 };
1486
1487 static PyMethodDef ecinfo_pymethods[] = {
1488 #define METHNAME(name) eimeth_##name
1489   KWMETH(check,         "I.check() -> None")
1490 #undef METHNAME
1491   { 0 }
1492 };
1493
1494 static PyTypeObject ecinfo_pytype_skel = {
1495   PyObject_HEAD_INIT(0) 0,              /* Header */
1496   "ECInfo",                             /* @tp_name@ */
1497   sizeof(ecinfo_pyobj),                 /* @tp_basicsize@ */
1498   0,                                    /* @tp_itemsize@ */
1499
1500   ecinfo_pydealloc,                     /* @tp_dealloc@ */
1501   0,                                    /* @tp_print@ */
1502   0,                                    /* @tp_getattr@ */
1503   0,                                    /* @tp_setattr@ */
1504   0,                                    /* @tp_compare@ */
1505   0,                                    /* @tp_repr@ */
1506   0,                                    /* @tp_as_number@ */
1507   0,                                    /* @tp_as_sequence@ */
1508   0,                                    /* @tp_as_mapping@ */
1509   0,                                    /* @tp_hash@ */
1510   0,                                    /* @tp_call@ */
1511   0,                                    /* @tp_str@ */
1512   0,                                    /* @tp_getattro@ */
1513   0,                                    /* @tp_setattro@ */
1514   0,                                    /* @tp_as_buffer@ */
1515   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1516     Py_TPFLAGS_BASETYPE,
1517
1518   /* @tp_doc@ */
1519   "Elliptic curve domain parameters.",
1520
1521   0,                                    /* @tp_traverse@ */
1522   0,                                    /* @tp_clear@ */
1523   ecinfo_pyrichcompare,                 /* @tp_richcompare@ */
1524   0,                                    /* @tp_weaklistoffset@ */
1525   0,                                    /* @tp_iter@ */
1526   0,                                    /* @tp_iternext@ */
1527   ecinfo_pymethods,                     /* @tp_methods@ */
1528   0,                                    /* @tp_members@ */
1529   ecinfo_pygetset,                      /* @tp_getset@ */
1530   0,                                    /* @tp_base@ */
1531   0,                                    /* @tp_dict@ */
1532   0,                                    /* @tp_descr_get@ */
1533   0,                                    /* @tp_descr_set@ */
1534   0,                                    /* @tp_dictoffset@ */
1535   0,                                    /* @tp_init@ */
1536   PyType_GenericAlloc,                  /* @tp_alloc@ */
1537   ecinfo_pynew,                         /* @tp_new@ */
1538   0,                                    /* @tp_free@ */
1539   0                                     /* @tp_is_gc@ */
1540 };
1541
1542 /*----- Setup -------------------------------------------------------------*/
1543
1544 static PyMethodDef methods[] = {
1545 #define METHNAME(func) meth_##func
1546   METH  (_ECPt_frombuf,         "frombuf(E, STR) -> (P, REST)")
1547   METH  (_ECPtCurve_fromraw,    "fromraw(E, STR) -> (P, REST)")
1548   KWMETH(_ECPtCurve_os2ecp,     "os2ecp(E, STR, [flags = ...]) -> (P, REST)")
1549   METH  (_ECPt_parse,           "parse(E, STR) -> (P, REST)")
1550   METH  (_ECCurve_parse,        "parse(STR) -> (E, REST)")
1551   METH  (_ECInfo_parse,         "parse(STR) -> (I, REST)")
1552   METH  (_ECInfo__curven,       "_curven(N) -> I")
1553 #undef METHNAME
1554   { 0 }
1555 };
1556
1557 void ec_pyinit(void)
1558 {
1559   INITTYPE(ecpt, root);
1560   INITTYPE(ecptcurve, ecpt);
1561   INITTYPE(eccurve, type);
1562   INITTYPE(ecprimecurve, eccurve);
1563   INITTYPE(ecprimeprojcurve, ecprimecurve);
1564   INITTYPE(ecbincurve, eccurve);
1565   INITTYPE(ecbinprojcurve, ecbincurve);
1566   INITTYPE(ecinfo, root);
1567   addmethods(methods);
1568 }
1569
1570 static PyObject *namedcurves(void)
1571 {
1572   int i, j;
1573   const char *p;
1574   PyObject *d, *c;
1575
1576   d = PyDict_New();
1577   for (i = 0; ectab[i].name; i++) {
1578     p = ectab[i].name;
1579     for (j = 0; j < i; j++) {
1580       if (ectab[i].data == ectab[j].data) {
1581         c = PyDict_GetItemString(d, (/*unconst*/ char *)ectab[j].name);
1582         Py_INCREF(c);
1583         goto found;
1584       }
1585     }
1586     c = PyInt_FromLong(i);
1587   found:
1588     PyDict_SetItemString(d, (/*unconst*/ char *)p, c);
1589     Py_DECREF(c);
1590   }
1591   ncurves = i;
1592   return (d);
1593 }
1594
1595 void ec_pyinsert(PyObject *mod)
1596 {
1597   INSERT("ECPt", ecpt_pytype);
1598   INSERT("ECPtCurve", ecptcurve_pytype);
1599   INSERT("ECCurve", eccurve_pytype);
1600   INSERT("ECPrimeCurve", ecprimecurve_pytype);
1601   INSERT("ECPrimeProjCurve", ecprimeprojcurve_pytype);
1602   INSERT("ECBinCurve", ecbincurve_pytype);
1603   INSERT("ECBinProjCurve", ecbinprojcurve_pytype);
1604   INSERT("ECInfo", ecinfo_pytype);
1605   INSERT("_eccurves", namedcurves());
1606 }
1607
1608 /*----- That's all, folks -------------------------------------------------*/