chiark - git - mdw - catacomb-python/blob - ec.c

   1 /* -*-c-*-
   2  *
   3  * Elliptic curves
   4  *
   5  * (c) 2004 Straylight/Edgeware
   6  */
   7
   8 /*----- Licensing notice --------------------------------------------------*
   9  *
  10  * This file is part of the Python interface to Catacomb.
  11  *
  12  * Catacomb/Python is free software; you can redistribute it and/or modify
  13  * it under the terms of the GNU General Public License as published by
  14  * the Free Software Foundation; either version 2 of the License, or
  15  * (at your option) any later version.
  16  *
  17  * Catacomb/Python is distributed in the hope that it will be useful,
  18  * but WITHOUT ANY WARRANTY; without even the implied warranty of
  19  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  20  * GNU General Public License for more details.
  21  *
  22  * You should have received a copy of the GNU General Public License
  23  * along with Catacomb/Python; if not, write to the Free Software Foundation,
  24  * Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
  25  */
  26
  27 /*----- Header files ------------------------------------------------------*/
  28
  29 #include "catacomb-python.h"
  30
  31 /*----- Utility functions -------------------------------------------------*/
  32
  33 PyTypeObject *ecpt_pytype;
  34 PyTypeObject *ecptcurve_pytype;
  35 PyTypeObject *eccurve_pytype;
  36 PyTypeObject *ecprimecurve_pytype;
  37 PyTypeObject *ecprimeprojcurve_pytype;
  38 PyTypeObject *ecbincurve_pytype;
  39 PyTypeObject *ecbinprojcurve_pytype;
  40 PyTypeObject *ecinfo_pytype;
  41
  42 ec_curve *eccurve_copy(ec_curve *c)
  43 {
  44   field *f;
  45   mp *a, *b;
  46
  47   if ((f = field_copy(c->f)) == 0)
  48     return (0);
  49   a = F_OUT(f, MP_NEW, c->a);
  50   b = F_OUT(f, MP_NEW, c->b);
  51   if (strcmp(EC_NAME(c), "prime") == 0)
  52     c = ec_prime(f, a, b);
  53   else if (strcmp(EC_NAME(c), "primeproj") == 0)
  54     c = ec_primeproj(f, a, b);
  55   else if (strcmp(EC_NAME(c), "bin") == 0)
  56     c = ec_bin(f, a, b);
  57   else if (strcmp(EC_NAME(c), "binproj") == 0)
  58     c = ec_binproj(f, a, b);
  59   else
  60     c = 0;
  61   MP_DROP(a);
  62   MP_DROP(b);
  63   if (!c) F_DESTROY(f);
  64   return (c);
  65 }
  66
  67 static PyObject *ecpt_dopywrap(PyObject *cobj, ec_curve *c, ec *p)
  68 {
  69   ecpt_pyobj *z = PyObject_New(ecpt_pyobj, (PyTypeObject *)cobj);
  70   z->p = *p;
  71   z->c = c;
  72   Py_INCREF(cobj);
  73   return ((PyObject *)z);
  74 }
  75
  76 PyObject *ecpt_pywrap(PyObject *cobj, ec *p)
  77   { return (ecpt_dopywrap(cobj, ECCURVE_C(cobj), p)); }
  78
  79 PyObject *ecpt_pywrapout(void *cobj, ec *p)
  80 {
  81   ec_curve *c;
  82
  83   if (!PyType_IsSubtype(cobj, ecptcurve_pytype))
  84     c = 0;
  85   else {
  86     c = ECCURVE_C(cobj);
  87     EC_IN(ECCURVE_C(cobj), p, p);
  88   }
  89   return (ecpt_dopywrap(cobj, c, p));
  90 }
  91
  92 int toecpt(ec_curve *c, ec *d, PyObject *p)
  93 {
  94   if (ECPTCURVE_PYCHECK(p)) {
  95     if (ECPT_C(p) != c && !ec_samep(ECPT_C(p), c))
  96       return (-1);
  97     EC_COPY(d, ECPT_P(p));
  98   } else if (ECPT_PYCHECK(p))
  99     EC_IN(c, d, ECPT_P(p));
 100   else
 101     return (-1);
 102   return (0);
 103 }
 104
 105 int getecpt(ec_curve *c, ec *d, PyObject *p)
 106 {
 107   if (toecpt(c, d, p)) {
 108     PyErr_Format(PyExc_TypeError, "can't convert %.100s to ecpt",
 109                  p->ob_type->tp_name);
 110     return (-1);
 111   }
 112   return (0);
 113 }
 114
 115 void getecptout(ec *d, PyObject *p)
 116 {
 117   if (ECPTCURVE_PYCHECK(p))
 118     EC_OUT(ECPT_C(p), d, ECPT_P(p));
 119   else {
 120     assert(ECPT_PYCHECK(p));
 121     EC_COPY(d, ECPT_P(p));
 122   }
 123 }
 124
 125 int convecpt(PyObject *o, void *p)
 126 {
 127   if (!ECPT_PYCHECK(o))
 128     TYERR("want elliptic curve point");
 129   getecptout(p, o);
 130   return (1);
 131 end:
 132   return (0);
 133 }
 134
 135 /*----- Curve points ------------------------------------------------------*/
 136
 137 static int ecbinop(PyObject *x, PyObject *y,
 138                    ec_curve **c, PyObject **cobj, ec *xx, ec *yy)
 139 {
 140   if (ECPTCURVE_PYCHECK(x)) *cobj = ECPT_COBJ(x);
 141   else if (ECPTCURVE_PYCHECK(y)) *cobj = ECPT_COBJ(y);
 142   else return (-1);
 143   *c = ECCURVE_C(*cobj);
 144   if (toecpt(*c, xx, x) || toecpt(*c, yy, y)) return (-1);
 145   return (0);
 146 }
 147
 148 #define BINOP(name)                                                     \
 149   static PyObject *ecpt_py##name(PyObject *x, PyObject *y) {            \
 150     ec xx = EC_INIT, yy = EC_INIT, zz = EC_INIT;                        \
 151     PyObject *cobj;                                                     \
 152     ec_curve *c;                                                        \
 153     if (ecbinop(x, y, &c, &cobj, &xx, &yy)) RETURN_NOTIMPL;             \
 154     c->ops->name(c, &zz, &xx, &yy);                                     \
 155     EC_DESTROY(&xx); EC_DESTROY(&yy);                                   \
 156     return (ecpt_pywrap(ECPT_COBJ(x), &zz));                            \
 157   }
 158 BINOP(add)
 159 BINOP(sub)
 160 #undef BINOP
 161
 162 #define UNOP(name)                                                      \
 163   static PyObject *ecpt_py##name(PyObject *x) {                         \
 164     ec zz = EC_INIT;                                                    \
 165     ec_curve *c = ECPT_C(x);                                            \
 166     c->ops->name(c, &zz, ECPT_P(x));                                    \
 167     return (ecpt_pywrap(ECPT_COBJ(x), &zz));                            \
 168   }
 169 UNOP(neg)
 170 #undef UNOP
 171
 172 static PyObject *ecpt_pyid(PyObject *x) { RETURN_OBJ(x); }
 173
 174 static int ecpt_pynonzerop(PyObject *x) { return (!EC_ATINF(ECPT_P(x))); }
 175
 176 static void ecpt_pydealloc(PyObject *x)
 177 {
 178   EC_DESTROY(ECPT_P(x));
 179   Py_DECREF(ECPT_COBJ(x));
 180   FREEOBJ(x);
 181 }
 182
 183 static PyObject *ecpt_pymul(PyObject *x, PyObject *y)
 184 {
 185   mp *xx;
 186   ec zz = EC_INIT;
 187
 188   if (ECPT_PYCHECK(x)) { PyObject *t; t = x; x = y; y = t; }
 189   if (!ECPT_PYCHECK(y) || (xx = tomp(x)) == 0) RETURN_NOTIMPL;
 190   ec_imul(ECPT_C(y), &zz, ECPT_P(y), xx);
 191   MP_DROP(xx);
 192   return (ecpt_pywrap(ECPT_COBJ(y), &zz));
 193 }
 194
 195 static long ecpt_pyhash(PyObject *me)
 196 {
 197   uint32 h;
 198   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, PyObject *arg)
 229 {
 230   if (!PyArg_ParseTuple(arg, ":oncurvep")) return (0);
 231   return (getbool(EC_ATINF(ECPT_P(me)) ||
 232                   !EC_CHECK(ECPT_C(me), ECPT_P(me))));
 233 }
 234
 235 static PyObject *epmeth_dbl(PyObject *me, PyObject *arg)
 236 {
 237   ec p = EC_INIT;
 238   if (!PyArg_ParseTuple(arg, ":dbl")) return (0);
 239   EC_DBL(ECPT_C(me), &p, ECPT_P(me));
 240   return (ecpt_pywrap(ECPT_COBJ(me), &p));
 241 }
 242
 243 static PyObject *epmeth_tobuf(PyObject *me, PyObject *arg)
 244 {
 245   buf b;
 246   ec p = EC_INIT;
 247   PyObject *rc;
 248   size_t n;
 249
 250   if (!PyArg_ParseTuple(arg, ":tobuf")) return (0);
 251   getecptout(&p, me);
 252   if (EC_ATINF(&p))
 253     n = 2;
 254   else
 255     n = mp_octets(p.x) + mp_octets(p.y) + 6;
 256   rc = bytestring_pywrap(0, n);
 257   buf_init(&b, PyString_AS_STRING(rc), n);
 258   buf_putec(&b, &p);
 259   assert(BOK(&b));
 260   _PyString_Resize(&rc, BLEN(&b));
 261   EC_DESTROY(&p);
 262   return (rc);
 263 }
 264
 265 static PyObject *epmeth_toraw(PyObject *me, PyObject *arg)
 266 {
 267   buf b;
 268   PyObject *rc;
 269   char *p;
 270   ec_curve *c = ECPT_C(me);
 271   ec pp = EC_INIT;
 272   int len;
 273
 274   if (!PyArg_ParseTuple(arg, ":toraw")) return (0);
 275   len = c->f->noctets * 2 + 1;
 276   rc = bytestring_pywrap(0, len);
 277   p = PyString_AS_STRING(rc);
 278   buf_init(&b, p, len);
 279   EC_OUT(c, &pp, ECPT_P(me));
 280   ec_putraw(c, &b, &pp);
 281   EC_DESTROY(&pp);
 282   _PyString_Resize(&rc, BLEN(&b));
 283   return (rc);
 284 }
 285
 286 static PyObject *epmeth_ec2osp(PyObject *me, PyObject *arg, PyObject *kw)
 287 {
 288   buf b;
 289   PyObject *rc;
 290   char *p;
 291   ec_curve *c = ECPT_C(me);
 292   ec pp = EC_INIT;
 293   unsigned f = EC_EXPLY;
 294   int len;
 295   char *kwlist[] = { "flags", 0 };
 296
 297   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&:ec2osp", kwlist,
 298                                    convuint, &f))
 299     return (0);
 300   len = c->f->noctets * 2 + 1;
 301   rc = bytestring_pywrap(0, len);
 302   p = PyString_AS_STRING(rc);
 303   buf_init(&b, p, len);
 304   EC_OUT(c, &pp, ECPT_P(me));
 305   if (ec_ec2osp(c, f, &b, &pp)) {
 306     Py_DECREF(rc); rc = 0;
 307     VALERR("invalid flags");
 308   }
 309   EC_DESTROY(&pp);
 310   _PyString_Resize(&rc, BLEN(&b));
 311 end:
 312   return (rc);
 313 }
 314
 315 static PyObject *epget_curve(PyObject *me, void *hunoz)
 316   { RETURN_OBJ(ECPT_COBJ(me)); }
 317
 318 static PyObject *epncget_ix(PyObject *me, void *hunoz)
 319 {
 320   ec p = EC_INIT;
 321   PyObject *rc;
 322   if (EC_ATINF(ECPT_P(me))) RETURN_NONE;
 323   getecptout(&p, me);
 324   rc = mp_pywrap(MP_COPY(p.x));
 325   EC_DESTROY(&p);
 326   return (rc);
 327 }
 328
 329 static PyObject *epncget_iy(PyObject *me, void *hunoz)
 330 {
 331   ec p = EC_INIT;
 332   PyObject *rc;
 333   if (EC_ATINF(ECPT_P(me))) RETURN_NONE;
 334   getecptout(&p, me);
 335   rc = mp_pywrap(MP_COPY(p.y));
 336   EC_DESTROY(&p);
 337   return (rc);
 338 }
 339
 340 static PyObject *epncget_point(PyObject *me, void *hunoz)
 341   { RETURN_ME; }
 342
 343 static PyObject *epget_point(PyObject *me, void *hunoz)
 344 {
 345   ec p = EC_INIT;
 346   getecptout(&p, me);
 347   return (ecpt_pywrapout(ecpt_pytype, &p));
 348 }
 349
 350 static PyObject *epget_x(PyObject *me, void *hunoz)
 351 {
 352   ec_curve *c = ECPT_C(me);
 353   ec *pp = ECPT_P(me);
 354   PyObject *fobj = ECPT_FOBJ(me);
 355   ec p = EC_INIT;
 356   PyObject *rc;
 357
 358   if (EC_ATINF(pp)) RETURN_NONE;
 359   EC_OUT(c, &p, pp);
 360   rc = fe_pywrap(fobj, F_IN(c->f, MP_NEW, p.x));
 361   EC_DESTROY(&p);
 362   return (rc);
 363 }
 364
 365 static PyObject *epget_y(PyObject *me, void *hunoz)
 366 {
 367   ec_curve *c = ECPT_C(me);
 368   ec *pp = ECPT_P(me);
 369   PyObject *fobj = ECPT_FOBJ(me);
 370   ec p = EC_INIT;
 371   PyObject *rc;
 372
 373   if (EC_ATINF(pp)) RETURN_NONE;
 374   EC_OUT(c, &p, pp);
 375   rc = fe_pywrap(fobj, F_IN(c->f, MP_NEW, p.y));
 376   EC_DESTROY(&p);
 377   return (rc);
 378 }
 379
 380 static PyObject *epget__x(PyObject *me, void *hunoz)
 381 {
 382   if (EC_ATINF(ECPT_P(me))) RETURN_NONE;
 383   return (fe_pywrap(ECPT_FOBJ(me), MP_COPY(ECPT_P(me)->x)));
 384 }
 385
 386 static PyObject *epget__y(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)->y)));
 390 }
 391
 392 static PyObject *epget__z(PyObject *me, void *hunoz)
 393 {
 394   if (EC_ATINF(ECPT_P(me)) || !ECPT_P(me)->z) RETURN_NONE;
 395   return (fe_pywrap(ECPT_FOBJ(me), MP_COPY(ECPT_P(me)->z)));
 396 }
 397
 398 static mp *coord_in(field *f, PyObject *x)
 399 {
 400   mp *xx;
 401   if (FE_PYCHECK(x) && FE_F(x) == f)
 402     return (MP_COPY(FE_X(x)));
 403   else if ((xx = getmp(x)) == 0)
 404     return (0);
 405   else
 406     return (F_IN(f, xx, xx));
 407 }
 408
 409 static int ecptxl_3(ec_curve *c, ec *p,
 410                     PyObject *x, PyObject *y, PyObject *z)
 411 {
 412   int rc = -1;
 413
 414   if (!x || !y || !z) TYERR("missing argument");
 415   if (!c) VALERR("internal form with no curve!");
 416   if ((p->x = coord_in(c->f, x)) == 0 ||
 417       (p->y = coord_in(c->f, y)) == 0 ||
 418       (z != Py_None && (p->z = coord_in(c->f, z)) == 0))
 419     goto end;
 420   if (!p->z) p->z = MP_COPY(c->f->one); /* just in case */
 421   rc = 0;
 422 end:
 423   return (rc);
 424 }
 425
 426 static int ecptxl_2(ec_curve *c, ec *p, PyObject *x, PyObject *y)
 427 {
 428   int rc = -1;
 429
 430   if (!x || !y) TYERR("missing argument");
 431   if ((p->x = getmp(x)) == 0 ||
 432       (p->y = getmp(y)) == 0)
 433     goto end;
 434   if (c) EC_IN(c, p, p);
 435   rc = 0;
 436 end:
 437   return (rc);
 438 }
 439
 440 static int ecptxl_1(ec_curve *c, ec *p, PyObject *x)
 441 {
 442   int rc = -1;
 443   PyObject *y = 0, *z = 0, *t = 0;
 444   mp *xx = 0;
 445   const void *q;
 446   int n;
 447   qd_parse qd;
 448
 449   Py_XINCREF(x);
 450   if (!x || x == Py_None)
 451     /*cool*/;
 452   else if (ECPT_PYCHECK(x)) {
 453     getecptout(p, x);
 454     goto fix;
 455   } else if (PyString_Check(x)) {
 456     if (PyObject_AsReadBuffer(x, &q, &n))
 457       goto end;
 458     qd.p = q;
 459     qd.e = 0;
 460     if (!ec_ptparse(&qd, p))
 461       VALERR(qd.e);
 462     goto fix;
 463   } else if (c && (xx = tomp(x)) != 0) {
 464     xx = F_IN(c->f, xx, xx);
 465     if (!EC_FIND(c, p, xx)) VALERR("not on the curve");
 466   } else if (PySequence_Check(x)) {
 467     t = x; x = 0;
 468     n = PySequence_Size(t); if (n < 0) goto end;
 469     if (n != 2 && (n != 3 || !c))
 470       TYERR("want sequence of two or three items");
 471     if ((x = PySequence_GetItem(t, 0)) == 0 ||
 472         (y = PySequence_GetItem(t, 1)) == 0 ||
 473         (n == 3 && (z = PySequence_GetItem(t, 2)) == 0))
 474       goto end;
 475     rc = (n == 2) ? ecptxl_2(c, p, x, y) : ecptxl_3(c, p, x, y, z);
 476     goto end;
 477   } else
 478     TYERR("can't convert to curve point");
 479   goto ok;
 480
 481 fix:
 482   if (c) EC_IN(c, p, p);
 483 ok:
 484   rc = 0;
 485 end:
 486   Py_XDECREF(x); Py_XDECREF(y); Py_XDECREF(z); Py_XDECREF(t);
 487   mp_drop(xx);
 488   return (rc);
 489 }
 490
 491 static int ecptxl(ec_curve *c, ec *p, PyObject *x, PyObject *y, PyObject *z)
 492 {
 493   if (z)
 494     return (ecptxl_3(c, p, x, y, z));
 495   else if (y)
 496     return (ecptxl_2(c, p, x, y));
 497   else
 498     return (ecptxl_1(c, p, x));
 499 }
 500
 501 static PyObject *ecptnc_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
 502 {
 503   PyObject *x = 0, *y = 0, *z = 0;
 504   ec p = EC_INIT;
 505   char *kwlist[] = { "x", "y", 0 };
 506
 507   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|OO:new", kwlist, &x, &y) ||
 508       ecptxl(0, &p, x, y, z))
 509     goto end;
 510   return (ecpt_pywrapout(ty, &p));
 511 end:
 512   mp_drop(p.x); mp_drop(p.y); mp_drop(p.z);
 513   return (0);
 514 }
 515
 516 static PyObject *ecpt_pyint(PyObject *me)
 517 {
 518   ec p = EC_INIT;
 519   long l;
 520   PyObject *rc = 0;
 521   if (EC_ATINF(ECPT_P(me))) VALERR("point at infinity");
 522   getecptout(&p, me);
 523   if (!mp_tolong_checked(p.x, &l, 0)) rc = PyInt_FromLong(l);
 524   else rc = mp_topylong(p.x);
 525 end:
 526   EC_DESTROY(&p);
 527   return (rc);
 528 }
 529
 530 static PyObject *ecpt_pylong(PyObject *me)
 531 {
 532   ec p = EC_INIT;
 533   PyObject *rc = 0;
 534   if (EC_ATINF(ECPT_P(me))) VALERR("point at infinity");
 535   getecptout(&p, me);
 536   rc = mp_topylong(p.x);
 537 end:
 538   EC_DESTROY(&p);
 539   return (rc);
 540 }
 541
 542 static PyObject *ecpt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
 543 {
 544   PyObject *x = 0, *y = 0, *z = 0;
 545   ec p = EC_INIT;
 546   char *kwlist[] = { "x", "y", "z", 0 };
 547
 548   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|OOO:new", kwlist,
 549                                    &x, &y, &z) ||
 550       ecptxl(ECCURVE_C(ty), &p, x, y, z))
 551     goto end;
 552   return (ecpt_pywrap((PyObject *)ty, &p));
 553 end:
 554   mp_drop(p.x); mp_drop(p.y); mp_drop(p.z);
 555   return (0);
 556 }
 557
 558 static PyGetSetDef ecptnc_pygetset[] = {
 559 #define GETSETNAME(op, name) epnc##op##_##name
 560   GET   (ix,            "P.ix -> integer x coordinate of P")
 561   GET   (iy,            "P.iy -> integer y coordinate of P")
 562   GET   (point,         "P.point -> standalone curve point (no-op)")
 563 #undef GETSETNAME
 564   { 0 }
 565 };
 566
 567 static PyMethodDef ecptnc_pymethods[] = {
 568 #define METHNAME(func) epmeth_##func
 569   METH  (tobuf,         "X.tobuf() -> BIN")
 570 #undef METHNAME
 571   { 0 }
 572 };
 573
 574 static PyNumberMethods ecpt_pynumber = {
 575   0,                                    /* @nb_add@ */
 576   0,                                    /* @nb_subtract@ */
 577   0,                                    /* @nb_multiply@ */
 578   0,                                    /* @nb_divide@ */
 579   0,                                    /* @nb_remainder@ */
 580   0,                                    /* @nb_divmod@ */
 581   0,                                    /* @nb_power@ */
 582   0,                                    /* @nb_negative@ */
 583   0,                                    /* @nb_positive@ */
 584   0,                                    /* @nb_absolute@ */
 585   ecpt_pynonzerop,                      /* @nb_nonzero@ */
 586   0,                                    /* @nb_invert@ */
 587   0,                                    /* @nb_lshift@ */
 588   0,                                    /* @nb_rshift@ */
 589   0,                                    /* @nb_and@ */
 590   0,                                    /* @nb_xor@ */
 591   0,                                    /* @nb_or@ */
 592   0,                                    /* @nb_coerce@ */
 593   ecpt_pyint,                           /* @nb_int@ */
 594   ecpt_pylong,                          /* @nb_long@ */
 595   0,                                    /* @nb_float@ */
 596   0,                                    /* @nb_oct@ */
 597   0,                                    /* @nb_hex@ */
 598
 599   0,                                    /* @nb_inplace_add@ */
 600   0,                                    /* @nb_inplace_subtract@ */
 601   0,                                    /* @nb_inplace_multiply@ */
 602   0,                                    /* @nb_inplace_divide@ */
 603   0,                                    /* @nb_inplace_remainder@ */
 604   0,                                    /* @nb_inplace_power@ */
 605   0,                                    /* @nb_inplace_lshift@ */
 606   0,                                    /* @nb_inplace_rshift@ */
 607   0,                                    /* @nb_inplace_and@ */
 608   0,                                    /* @nb_inplace_xor@ */
 609   0,                                    /* @nb_inplace_or@ */
 610
 611   0,                                    /* @nb_floor_divide@ */
 612   0,                                    /* @nb_true_divide@ */
 613   0,                                    /* @nb_inplace_floor_divide@ */
 614   0,                                    /* @nb_inplace_true_divide@ */
 615 };
 616
 617 static PyTypeObject ecpt_pytype_skel = {
 618   PyObject_HEAD_INIT(0) 0,              /* Header */
 619   "ECPt",                               /* @tp_name@ */
 620   sizeof(ecpt_pyobj),                   /* @tp_basicsize@ */
 621   0,                                    /* @tp_itemsize@ */
 622
 623   ecpt_pydealloc,                       /* @tp_dealloc@ */
 624   0,                                    /* @tp_print@ */
 625   0,                                    /* @tp_getattr@ */
 626   0,                                    /* @tp_setattr@ */
 627   0,                                    /* @tp_compare@ */
 628   0,                                    /* @tp_repr@ */
 629   &ecpt_pynumber,                       /* @tp_as_number@ */
 630   0,                                    /* @tp_as_sequence@ */
 631   0,                                    /* @tp_as_mapping@ */
 632   ecpt_pyhash,                          /* @tp_hash@ */
 633   0,                                    /* @tp_call@ */
 634   0,                                    /* @tp_str@ */
 635   0,                                    /* @tp_getattro@ */
 636   0,                                    /* @tp_setattro@ */
 637   0,                                    /* @tp_as_buffer@ */
 638   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 639     Py_TPFLAGS_CHECKTYPES |
 640     Py_TPFLAGS_BASETYPE,
 641
 642   /* @tp_doc@ */
 643 "Elliptic curve points, not associated with any curve.",
 644
 645   0,                                    /* @tp_traverse@ */
 646   0,                                    /* @tp_clear@ */
 647   ecpt_pyrichcompare,                   /* @tp_richcompare@ */
 648   0,                                    /* @tp_weaklistoffset@ */
 649   0,                                    /* @tp_iter@ */
 650   0,                                    /* @tp_iternext@ */
 651   ecptnc_pymethods,                     /* @tp_methods@ */
 652   0,                                    /* @tp_members@ */
 653   ecptnc_pygetset,                      /* @tp_getset@ */
 654   0,                                    /* @tp_base@ */
 655   0,                                    /* @tp_dict@ */
 656   0,                                    /* @tp_descr_get@ */
 657   0,                                    /* @tp_descr_set@ */
 658   0,                                    /* @tp_dictoffset@ */
 659   0,                                    /* @tp_init@ */
 660   PyType_GenericAlloc,                  /* @tp_alloc@ */
 661   ecptnc_pynew,                         /* @tp_new@ */
 662   0,                                    /* @tp_free@ */
 663   0                                     /* @tp_is_gc@ */
 664 };
 665
 666 static PyGetSetDef ecpt_pygetset[] = {
 667 #define GETSETNAME(op, name) ep##op##_##name
 668   GET   (curve,         "P.curve -> elliptic curve containing P")
 669   GET   (point,         "P.point -> standalone curve point")
 670   GET   (x,             "P.x -> Cartesian x coordinate of P")
 671   GET   (y,             "P.y -> Cartesian y coordinate of P")
 672   GET   (_x,            "P._x -> internal x coordinate of P")
 673   GET   (_y,            "P._y -> internal y coordinate of P")
 674   GET   (_z,            "P._z -> internal z coordinate of P, or None")
 675 #undef GETSETNAME
 676   { 0 }
 677 };
 678
 679 static PyMethodDef ecpt_pymethods[] = {
 680 #define METHNAME(func) epmeth_##func
 681   METH  (toraw,         "X.toraw() -> BIN")
 682   KWMETH(ec2osp,        "X.ec2osp([flags = EC_EXPLY]) -> BIN")
 683   METH  (dbl,           "X.dbl() -> X + X")
 684   METH  (oncurvep,      "X.oncurvep() -> BOOL")
 685 #undef METHNAME
 686   { 0 }
 687 };
 688
 689 static PyNumberMethods ecptcurve_pynumber = {
 690   ecpt_pyadd,                           /* @nb_add@ */
 691   ecpt_pysub,                           /* @nb_subtract@ */
 692   ecpt_pymul,                           /* @nb_multiply@ */
 693   0,                                    /* @nb_divide@ */
 694   0,                                    /* @nb_remainder@ */
 695   0,                                    /* @nb_divmod@ */
 696   0,                                    /* @nb_power@ */
 697   ecpt_pyneg,                           /* @nb_negative@ */
 698   ecpt_pyid,                            /* @nb_positive@ */
 699   0,                                    /* @nb_absolute@ */
 700   0,                                    /* @nb_nonzero@ */
 701   0,                                    /* @nb_invert@ */
 702   0,                                    /* @nb_lshift@ */
 703   0,                                    /* @nb_rshift@ */
 704   0,                                    /* @nb_and@ */
 705   0,                                    /* @nb_xor@ */
 706   0,                                    /* @nb_or@ */
 707   0,                                    /* @nb_coerce@ */
 708   0,                                    /* @nb_int@ */
 709   0,                                    /* @nb_long@ */
 710   0,                                    /* @nb_float@ */
 711   0,                                    /* @nb_oct@ */
 712   0,                                    /* @nb_hex@ */
 713
 714   0,                                    /* @nb_inplace_add@ */
 715   0,                                    /* @nb_inplace_subtract@ */
 716   0,                                    /* @nb_inplace_multiply@ */
 717   0,                                    /* @nb_inplace_divide@ */
 718   0,                                    /* @nb_inplace_remainder@ */
 719   0,                                    /* @nb_inplace_power@ */
 720   0,                                    /* @nb_inplace_lshift@ */
 721   0,                                    /* @nb_inplace_rshift@ */
 722   0,                                    /* @nb_inplace_and@ */
 723   0,                                    /* @nb_inplace_xor@ */
 724   0,                                    /* @nb_inplace_or@ */
 725
 726   0,                                    /* @nb_floor_divide@ */
 727   0,                                    /* @nb_true_divide@ */
 728   0,                                    /* @nb_inplace_floor_divide@ */
 729   0,                                    /* @nb_inplace_true_divide@ */
 730 };
 731
 732 static PyTypeObject ecptcurve_pytype_skel = {
 733   PyObject_HEAD_INIT(0) 0,              /* Header */
 734   "ECPtCurve",                          /* @tp_name@ */
 735   sizeof(ecpt_pyobj),                   /* @tp_basicsize@ */
 736   0,                                    /* @tp_itemsize@ */
 737
 738   ecpt_pydealloc,                       /* @tp_dealloc@ */
 739   0,                                    /* @tp_print@ */
 740   0,                                    /* @tp_getattr@ */
 741   0,                                    /* @tp_setattr@ */
 742   0,                                    /* @tp_compare@ */
 743   0,                                    /* @tp_repr@ */
 744   &ecptcurve_pynumber,                  /* @tp_as_number@ */
 745   0,                                    /* @tp_as_sequence@ */
 746   0,                                    /* @tp_as_mapping@ */
 747   0,                                    /* @tp_hash@ */
 748   0,                                    /* @tp_call@ */
 749   0,                                    /* @tp_str@ */
 750   0,                                    /* @tp_getattro@ */
 751   0,                                    /* @tp_setattro@ */
 752   0,                                    /* @tp_as_buffer@ */
 753   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 754     Py_TPFLAGS_CHECKTYPES |
 755     Py_TPFLAGS_BASETYPE,
 756
 757   /* @tp_doc@ */
 758 "Elliptic curve points; abstract base class for points on given curves.",
 759
 760   0,                                    /* @tp_traverse@ */
 761   0,                                    /* @tp_clear@ */
 762   0,                                    /* @tp_richcompare@ */
 763   0,                                    /* @tp_weaklistoffset@ */
 764   0,                                    /* @tp_iter@ */
 765   0,                                    /* @tp_iternext@ */
 766   ecpt_pymethods,                       /* @tp_methods@ */
 767   0,                                    /* @tp_members@ */
 768   ecpt_pygetset,                        /* @tp_getset@ */
 769   0,                                    /* @tp_base@ */
 770   0,                                    /* @tp_dict@ */
 771   0,                                    /* @tp_descr_get@ */
 772   0,                                    /* @tp_descr_set@ */
 773   0,                                    /* @tp_dictoffset@ */
 774   0,                                    /* @tp_init@ */
 775   PyType_GenericAlloc,                  /* @tp_alloc@ */
 776   abstract_pynew,                       /* @tp_new@ */
 777   0,                                    /* @tp_free@ */
 778   0                                     /* @tp_is_gc@ */
 779 };
 780
 781 /*----- Elliptic curves themselves ----------------------------------------*/
 782
 783 static PyObject *eccurve_pyrichcompare(PyObject *x, PyObject *y, int op)
 784 {
 785   int b;
 786
 787   assert(ECCURVE_PYCHECK(x));
 788   if (!ECCURVE_PYCHECK(y)) RETURN_NOTIMPL;
 789   b = ec_samep(ECCURVE_C(x), ECCURVE_C(y));
 790   switch (op) {
 791     case Py_EQ: break;
 792     case Py_NE: b = !b; break;
 793     default: TYERR("can't order elliptic curves");
 794   }
 795   return (getbool(b));
 796 end:
 797   return (0);
 798 }
 799
 800 static PyObject *ecmmul_id(PyObject *me)
 801   { ec p = EC_INIT; return (ecpt_pywrap(me, &p)); }
 802
 803 static int ecmmul_fill(void *pp, PyObject *me, PyObject *x, PyObject *m)
 804 {
 805   ec_mulfactor *f = pp;
 806
 807   EC_CREATE(&f->base);
 808   if (getecpt(ECCURVE_C(me), &f->base, x) ||
 809       (f->exp = getmp(m)) == 0)
 810     return (-1);
 811   return (0);
 812 }
 813
 814 static PyObject *ecmmul_exp(PyObject *me, void *pp, int n)
 815 {
 816   ec p = EC_INIT;
 817   ec_immul(ECCURVE_C(me), &p, pp, n);
 818   return (ecpt_pywrap(me, &p));
 819 }
 820
 821 static void ecmmul_drop(void *pp)
 822 {
 823   ec_mulfactor *f = pp;
 824   EC_DESTROY(&f->base);
 825   MP_DROP(f->exp);
 826 }
 827
 828 static PyObject *ecmeth_mmul(PyObject *me, PyObject *arg)
 829 {
 830   return (mexp_common(me, arg, sizeof(ec_mulfactor),
 831                       ecmmul_id, ecmmul_fill, ecmmul_exp, ecmmul_drop));
 832 }
 833
 834 static PyObject *meth__ECPtCurve_fromraw(PyObject *me, PyObject *arg)
 835 {
 836   char *p;
 837   Py_ssize_t len;
 838   buf b;
 839   PyObject *rc = 0;
 840   ec_curve *cc;
 841   ec pp = EC_INIT;
 842
 843   if (!PyArg_ParseTuple(arg, "Os#:fromraw", &me, &p, &len))
 844     return (0);
 845   buf_init(&b, p, len);
 846   cc = ECCURVE_C(me);
 847   if (ec_getraw(cc, &b, &pp))
 848     VALERR("bad point");
 849   EC_IN(cc, &pp, &pp);
 850   rc = Py_BuildValue("(NN)", ecpt_pywrap(me, &pp), bytestring_pywrapbuf(&b));
 851 end:
 852   return (rc);
 853 }
 854
 855 static PyObject *meth__ECPtCurve_os2ecp(PyObject *me,
 856                                         PyObject *arg, PyObject *kw)
 857 {
 858   char *p;
 859   Py_ssize_t len;
 860   buf b;
 861   PyObject *rc = 0;
 862   ec_curve *cc;
 863   unsigned f = EC_XONLY | EC_LSB | EC_SORT | EC_EXPLY;
 864   ec pp = EC_INIT;
 865   char *kwlist[] = { "class", "buf", "flags", 0 };
 866
 867   if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|O&:os2ecp", kwlist,
 868                                    &me, &p, &len, convuint, &f))
 869     return (0);
 870   buf_init(&b, p, len);
 871   cc = ECCURVE_C(me);
 872   if (ec_os2ecp(cc, f, &b, &pp)) VALERR("bad point");
 873   EC_IN(cc, &pp, &pp);
 874   rc = Py_BuildValue("(NN)", ecpt_pywrap(me, &pp), bytestring_pywrapbuf(&b));
 875 end:
 876   return (rc);
 877 }
 878
 879 static PyObject *meth__ECPt_frombuf(PyObject *me, PyObject *arg)
 880 {
 881   buf b;
 882   char *p;
 883   Py_ssize_t sz;
 884   PyObject *rc = 0;
 885   ec pp = EC_INIT;
 886
 887   if (!PyArg_ParseTuple(arg, "Os#:frombuf", &me, &p, &sz)) goto end;
 888   buf_init(&b, p, sz);
 889   if (buf_getec(&b, &pp)) VALERR("malformed data");
 890   rc = Py_BuildValue("(NN)", ecpt_pywrapout(me, &pp),
 891                      bytestring_pywrapbuf(&b));
 892 end:
 893   return (rc);
 894 }
 895
 896 static PyObject *meth__ECPt_parse(PyObject *me, PyObject *arg)
 897 {
 898   char *p;
 899   qd_parse qd;
 900   PyObject *rc = 0;
 901   ec pp = EC_INIT;
 902
 903   if (!PyArg_ParseTuple(arg, "Os:parse", &me, &p)) goto end;
 904   qd.p = p;
 905   qd.e = 0;
 906   if (!ec_ptparse(&qd, &pp)) VALERR(qd.e);
 907   rc = Py_BuildValue("(Ns)", ecpt_pywrapout(me, &pp), qd.p);
 908 end:
 909   return (rc);
 910 }
 911
 912 static void eccurve_pydealloc(PyObject *me)
 913 {
 914   ec_destroycurve(ECCURVE_C(me));
 915   Py_DECREF(ECCURVE_FOBJ(me));
 916   PyType_Type.tp_dealloc(me);
 917 }
 918
 919 static PyObject *ecmeth_find(PyObject *me, PyObject *arg)
 920 {
 921   PyObject *x;
 922   mp *xx = 0;
 923   ec p = EC_INIT;
 924   PyObject *rc = 0;
 925
 926   if (!PyArg_ParseTuple(arg, "O:find", &x)) goto end;
 927   if (FIELD_PYCHECK(x) && FE_F(x) == ECCURVE_C(me)->f)
 928     xx = MP_COPY(FE_X(x));
 929   else if ((xx = getmp(x)) == 0)
 930     goto end;
 931   else
 932     xx = F_IN(ECCURVE_C(me)->f, xx, xx);
 933   if (EC_FIND(ECCURVE_C(me), &p, xx) == 0)
 934     VALERR("not on the curve");
 935   rc = ecpt_pywrap(me, &p);
 936 end:
 937   if (xx) MP_DROP(xx);
 938   return (rc);
 939 }
 940
 941 static PyObject *ecmeth_rand(PyObject *me, PyObject *arg, PyObject *kw)
 942 {
 943   char *kwlist[] = { "rng", 0 };
 944   grand *r = &rand_global;
 945   ec p = EC_INIT;
 946
 947   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&:rand", kwlist,
 948                                    convgrand, &r))
 949     return (0);
 950   ec_rand(ECCURVE_C(me), &p, r);
 951   EC_IN(ECCURVE_C(me), &p, &p);
 952   return (ecpt_pywrap(me, &p));
 953 }
 954
 955 static PyObject *eccurve_dopywrap(PyTypeObject *ty,
 956                                   PyObject *fobj, ec_curve *c)
 957 {
 958   eccurve_pyobj *cobj = newtype(ty, 0, c->ops->name);
 959   cobj->c = c;
 960   cobj->fobj = fobj;
 961   cobj->ty.ht_type.tp_basicsize = sizeof(ecpt_pyobj);
 962   cobj->ty.ht_type.tp_base = ecptcurve_pytype;
 963   Py_INCREF(ecptcurve_pytype);
 964   cobj->ty.ht_type.tp_flags = (Py_TPFLAGS_DEFAULT |
 965                                Py_TPFLAGS_BASETYPE |
 966                                Py_TPFLAGS_CHECKTYPES |
 967                                Py_TPFLAGS_HEAPTYPE);
 968   cobj->ty.ht_type.tp_alloc = PyType_GenericAlloc;
 969   cobj->ty.ht_type.tp_free = 0;
 970   cobj->ty.ht_type.tp_new = ecpt_pynew;
 971   typeready(&cobj->ty.ht_type);
 972   return ((PyObject *)cobj);
 973 }
 974
 975 PyObject *eccurve_pywrap(PyObject *fobj, ec_curve *c)
 976 {
 977   PyTypeObject *ty;
 978
 979   if (!fobj)
 980     fobj = field_pywrap(c->f);
 981   else
 982     Py_INCREF(fobj);
 983   assert(FIELD_F(fobj) == c->f);
 984   if (strcmp(EC_NAME(c), "prime") == 0)
 985     ty = ecprimecurve_pytype;
 986   else if (strcmp(EC_NAME(c), "primeproj") == 0)
 987     ty = ecprimeprojcurve_pytype;
 988   else if (strcmp(EC_NAME(c), "bin") == 0)
 989     ty = ecbincurve_pytype;
 990   else if (strcmp(EC_NAME(c), "binproj") == 0)
 991     ty = ecbinprojcurve_pytype;
 992   else
 993     abort();
 994   return (eccurve_dopywrap(ty, fobj, c));
 995 }
 996
 997 static PyObject *eccurve_pynew(PyTypeObject *ty,
 998                                ec_curve *(*make)(field *, mp *, mp *),
 999                                PyObject *arg, PyObject *kw)
1000 {
1001   PyObject *fobj;
1002   PyObject *cobj = 0;
1003   char *kwlist[] = { "field", "a", "b", 0 };
1004   mp *aa = 0, *bb = 0;
1005
1006   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O!O&O&", kwlist,
1007                                    field_pytype, &fobj,
1008                                    convmp, &aa, convmp, &bb))
1009     goto end;
1010   Py_INCREF(fobj);
1011   cobj = eccurve_dopywrap(ty, fobj, make(FIELD_F(fobj), aa, bb));
1012 end:
1013   if (aa) MP_DROP(aa);
1014   if (bb) MP_DROP(bb);
1015   return (cobj);
1016 }
1017
1018 static PyObject *meth__ECCurve_parse(PyObject *me, PyObject *arg)
1019 {
1020   char *p;
1021   qd_parse qd;
1022   ec_curve *c;
1023   PyObject *rc = 0;
1024
1025   if (!PyArg_ParseTuple(arg, "Os:parse", &me, &p))
1026     goto end;
1027   qd.p = p;
1028   qd.e = 0;
1029   if ((c = ec_curveparse(&qd)) == 0)
1030     VALERR(qd.e);
1031   rc = eccurve_pywrap(0, c);
1032 end:
1033   return (rc);
1034 }
1035
1036 static PyObject *ecget_name(PyObject *me, void *hunoz)
1037   { return (PyString_FromString(EC_NAME(ECCURVE_C(me)))); }
1038
1039 static PyObject *ecget_a(PyObject *me, void *hunoz)
1040   { return (fe_pywrap(ECCURVE_FOBJ(me), MP_COPY(ECCURVE_C(me)->a))); }
1041
1042 static PyObject *ecget_b(PyObject *me, void *hunoz)
1043   { return (fe_pywrap(ECCURVE_FOBJ(me), MP_COPY(ECCURVE_C(me)->b))); }
1044
1045 static PyObject *ecget_field(PyObject *me, void *hunoz)
1046   { RETURN_OBJ(ECCURVE_FOBJ(me)); }
1047
1048 static PyObject *ecget_inf(PyObject *me, void *hunoz)
1049   { ec inf = EC_INIT; return (ecpt_pywrap(me, &inf)); }
1050
1051 static PyGetSetDef eccurve_pygetset[] = {
1052 #define GETSETNAME(op, name) ec##op##_##name
1053   GET   (name,          "E.name -> name of this kind of curve")
1054   GET   (a,             "E.a -> first parameter of curve")
1055   GET   (b,             "E.b -> second parameter of curve")
1056   GET   (field,         "E.field -> finite field containing this curve")
1057   GET   (inf,           "E.inf -> point at infinity of this curve")
1058 #undef GETSETNAME
1059   { 0 }
1060 };
1061
1062 static PyMethodDef eccurve_pymethods[] = {
1063 #define METHNAME(name) ecmeth_##name
1064   METH  (mmul,          "\
1065 E.mmul([(P0, N0), (P1, N1), ...]) = N0 P0 + N1 P1 + ...")
1066   METH  (find,          "E.find(X) -> P")
1067   KWMETH(rand,          "E.rand([rng = rand]) -> P")
1068 #undef METHNAME
1069   { 0 }
1070 };
1071
1072 static PyTypeObject eccurve_pytype_skel = {
1073   PyObject_HEAD_INIT(0) 0,              /* Header */
1074   "ECCurve",                            /* @tp_name@ */
1075   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1076   0,                                    /* @tp_itemsize@ */
1077
1078   eccurve_pydealloc,                    /* @tp_dealloc@ */
1079   0,                                    /* @tp_print@ */
1080   0,                                    /* @tp_getattr@ */
1081   0,                                    /* @tp_setattr@ */
1082   0,                                    /* @tp_compare@ */
1083   0,                                    /* @tp_repr@ */
1084   0,                                    /* @tp_as_number@ */
1085   0,                                    /* @tp_as_sequence@ */
1086   0,                                    /* @tp_as_mapping@ */
1087   0,                                    /* @tp_hash@ */
1088   0,                                    /* @tp_call@ */
1089   0,                                    /* @tp_str@ */
1090   0,                                    /* @tp_getattro@ */
1091   0,                                    /* @tp_setattro@ */
1092   0,                                    /* @tp_as_buffer@ */
1093   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1094     Py_TPFLAGS_BASETYPE,
1095
1096   /* @tp_doc@ */
1097   "An elliptic curve.  Abstract class.",
1098
1099   0,                                    /* @tp_traverse@ */
1100   0,                                    /* @tp_clear@ */
1101   eccurve_pyrichcompare,                /* @tp_richcompare@ */
1102   0,                                    /* @tp_weaklistoffset@ */
1103   0,                                    /* @tp_iter@ */
1104   0,                                    /* @tp_iternext@ */
1105   eccurve_pymethods,                    /* @tp_methods@ */
1106   0,                                    /* @tp_members@ */
1107   eccurve_pygetset,                     /* @tp_getset@ */
1108   0,                                    /* @tp_base@ */
1109   0,                                    /* @tp_dict@ */
1110   0,                                    /* @tp_descr_get@ */
1111   0,                                    /* @tp_descr_set@ */
1112   0,                                    /* @tp_dictoffset@ */
1113   0,                                    /* @tp_init@ */
1114   PyType_GenericAlloc,                  /* @tp_alloc@ */
1115   abstract_pynew,                       /* @tp_new@ */
1116   0,                                    /* @tp_free@ */
1117   0                                     /* @tp_is_gc@ */
1118 };
1119
1120 static PyObject *ecprimecurve_pynew(PyTypeObject *ty,
1121                                     PyObject *arg, PyObject *kw)
1122 {
1123   return (eccurve_pynew(ty, ec_prime, arg, kw));
1124 }
1125
1126 static PyTypeObject ecprimecurve_pytype_skel = {
1127   PyObject_HEAD_INIT(0) 0,              /* Header */
1128   "ECPrimeCurve",                       /* @tp_name@ */
1129   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1130   0,                                    /* @tp_itemsize@ */
1131
1132   eccurve_pydealloc,                    /* @tp_dealloc@ */
1133   0,                                    /* @tp_print@ */
1134   0,                                    /* @tp_getattr@ */
1135   0,                                    /* @tp_setattr@ */
1136   0,                                    /* @tp_compare@ */
1137   0,                                    /* @tp_repr@ */
1138   0,                                    /* @tp_as_number@ */
1139   0,                                    /* @tp_as_sequence@ */
1140   0,                                    /* @tp_as_mapping@ */
1141   0,                                    /* @tp_hash@ */
1142   0,                                    /* @tp_call@ */
1143   0,                                    /* @tp_str@ */
1144   0,                                    /* @tp_getattro@ */
1145   0,                                    /* @tp_setattro@ */
1146   0,                                    /* @tp_as_buffer@ */
1147   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1148     Py_TPFLAGS_BASETYPE,
1149
1150   /* @tp_doc@ */
1151   "An elliptic curve over a prime field.  Use ecprimeprojcurve.",
1152
1153   0,                                    /* @tp_traverse@ */
1154   0,                                    /* @tp_clear@ */
1155   eccurve_pyrichcompare,                /* @tp_richcompare@ */
1156   0,                                    /* @tp_weaklistoffset@ */
1157   0,                                    /* @tp_iter@ */
1158   0,                                    /* @tp_iternext@ */
1159   0,                                    /* @tp_methods@ */
1160   0,                                    /* @tp_members@ */
1161   0,                                    /* @tp_getset@ */
1162   0,                                    /* @tp_base@ */
1163   0,                                    /* @tp_dict@ */
1164   0,                                    /* @tp_descr_get@ */
1165   0,                                    /* @tp_descr_set@ */
1166   0,                                    /* @tp_dictoffset@ */
1167   0,                                    /* @tp_init@ */
1168   PyType_GenericAlloc,                  /* @tp_alloc@ */
1169   ecprimecurve_pynew,                   /* @tp_new@ */
1170   0,                                    /* @tp_free@ */
1171   0                                     /* @tp_is_gc@ */
1172 };
1173
1174 static PyObject *ecprimeprojcurve_pynew(PyTypeObject *ty,
1175                                         PyObject *arg, PyObject *kw)
1176 {
1177   return (eccurve_pynew(ty, ec_primeproj, arg, kw));
1178 }
1179
1180 static PyTypeObject ecprimeprojcurve_pytype_skel = {
1181   PyObject_HEAD_INIT(0) 0,              /* Header */
1182   "ECPrimeProjCurve",                   /* @tp_name@ */
1183   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1184   0,                                    /* @tp_itemsize@ */
1185
1186   eccurve_pydealloc,                    /* @tp_dealloc@ */
1187   0,                                    /* @tp_print@ */
1188   0,                                    /* @tp_getattr@ */
1189   0,                                    /* @tp_setattr@ */
1190   0,                                    /* @tp_compare@ */
1191   0,                                    /* @tp_repr@ */
1192   0,                                    /* @tp_as_number@ */
1193   0,                                    /* @tp_as_sequence@ */
1194   0,                                    /* @tp_as_mapping@ */
1195   0,                                    /* @tp_hash@ */
1196   0,                                    /* @tp_call@ */
1197   0,                                    /* @tp_str@ */
1198   0,                                    /* @tp_getattro@ */
1199   0,                                    /* @tp_setattro@ */
1200   0,                                    /* @tp_as_buffer@ */
1201   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1202     Py_TPFLAGS_BASETYPE,
1203
1204   /* @tp_doc@ */
1205   "An elliptic curve over a prime field, using projective coordinates.",
1206
1207   0,                                    /* @tp_traverse@ */
1208   0,                                    /* @tp_clear@ */
1209   eccurve_pyrichcompare,                /* @tp_richcompare@ */
1210   0,                                    /* @tp_weaklistoffset@ */
1211   0,                                    /* @tp_iter@ */
1212   0,                                    /* @tp_iternext@ */
1213   0,                                    /* @tp_methods@ */
1214   0,                                    /* @tp_members@ */
1215   0,                                    /* @tp_getset@ */
1216   0,                                    /* @tp_base@ */
1217   0,                                    /* @tp_dict@ */
1218   0,                                    /* @tp_descr_get@ */
1219   0,                                    /* @tp_descr_set@ */
1220   0,                                    /* @tp_dictoffset@ */
1221   0,                                    /* @tp_init@ */
1222   PyType_GenericAlloc,                  /* @tp_alloc@ */
1223   ecprimeprojcurve_pynew,               /* @tp_new@ */
1224   0,                                    /* @tp_free@ */
1225   0                                     /* @tp_is_gc@ */
1226 };
1227
1228 static PyObject *ecbincurve_pynew(PyTypeObject *ty,
1229                                   PyObject *arg, PyObject *kw)
1230 {
1231   return (eccurve_pynew(ty, ec_bin, arg, kw));
1232 }
1233
1234 static PyTypeObject ecbincurve_pytype_skel = {
1235   PyObject_HEAD_INIT(0) 0,              /* Header */
1236   "ECBinCurve",                         /* @tp_name@ */
1237   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1238   0,                                    /* @tp_itemsize@ */
1239
1240   eccurve_pydealloc,                    /* @tp_dealloc@ */
1241   0,                                    /* @tp_print@ */
1242   0,                                    /* @tp_getattr@ */
1243   0,                                    /* @tp_setattr@ */
1244   0,                                    /* @tp_compare@ */
1245   0,                                    /* @tp_repr@ */
1246   0,                                    /* @tp_as_number@ */
1247   0,                                    /* @tp_as_sequence@ */
1248   0,                                    /* @tp_as_mapping@ */
1249   0,                                    /* @tp_hash@ */
1250   0,                                    /* @tp_call@ */
1251   0,                                    /* @tp_str@ */
1252   0,                                    /* @tp_getattro@ */
1253   0,                                    /* @tp_setattro@ */
1254   0,                                    /* @tp_as_buffer@ */
1255   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1256     Py_TPFLAGS_BASETYPE,
1257
1258   /* @tp_doc@ */
1259   "An elliptic curve over a binary field.  Use ecbinprojcurve.",
1260
1261   0,                                    /* @tp_traverse@ */
1262   0,                                    /* @tp_clear@ */
1263   eccurve_pyrichcompare,                /* @tp_richcompare@ */
1264   0,                                    /* @tp_weaklistoffset@ */
1265   0,                                    /* @tp_iter@ */
1266   0,                                    /* @tp_iternext@ */
1267   0,                                    /* @tp_methods@ */
1268   0,                                    /* @tp_members@ */
1269   0,                                    /* @tp_getset@ */
1270   0,                                    /* @tp_base@ */
1271   0,                                    /* @tp_dict@ */
1272   0,                                    /* @tp_descr_get@ */
1273   0,                                    /* @tp_descr_set@ */
1274   0,                                    /* @tp_dictoffset@ */
1275   0,                                    /* @tp_init@ */
1276   PyType_GenericAlloc,                  /* @tp_alloc@ */
1277   ecbincurve_pynew,                     /* @tp_new@ */
1278   0,                                    /* @tp_free@ */
1279   0                                     /* @tp_is_gc@ */
1280 };
1281
1282 static PyObject *ecbinprojcurve_pynew(PyTypeObject *ty,
1283                                       PyObject *arg, PyObject *kw)
1284 {
1285   return (eccurve_pynew(ty, ec_binproj, arg, kw));
1286 }
1287
1288 static PyTypeObject ecbinprojcurve_pytype_skel = {
1289   PyObject_HEAD_INIT(0) 0,              /* Header */
1290   "ECBinProjCurve",                     /* @tp_name@ */
1291   sizeof(eccurve_pyobj),                /* @tp_basicsize@ */
1292   0,                                    /* @tp_itemsize@ */
1293
1294   eccurve_pydealloc,                    /* @tp_dealloc@ */
1295   0,                                    /* @tp_print@ */
1296   0,                                    /* @tp_getattr@ */
1297   0,                                    /* @tp_setattr@ */
1298   0,                                    /* @tp_compare@ */
1299   0,                                    /* @tp_repr@ */
1300   0,                                    /* @tp_as_number@ */
1301   0,                                    /* @tp_as_sequence@ */
1302   0,                                    /* @tp_as_mapping@ */
1303   0,                                    /* @tp_hash@ */
1304   0,                                    /* @tp_call@ */
1305   0,                                    /* @tp_str@ */
1306   0,                                    /* @tp_getattro@ */
1307   0,                                    /* @tp_setattro@ */
1308   0,                                    /* @tp_as_buffer@ */
1309   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1310     Py_TPFLAGS_BASETYPE,
1311
1312   /* @tp_doc@ */
1313   "An elliptic curve over a binary field, using projective coordinates.",
1314
1315   0,                                    /* @tp_traverse@ */
1316   0,                                    /* @tp_clear@ */
1317   eccurve_pyrichcompare,                /* @tp_richcompare@ */
1318   0,                                    /* @tp_weaklistoffset@ */
1319   0,                                    /* @tp_iter@ */
1320   0,                                    /* @tp_iternext@ */
1321   0,                                    /* @tp_methods@ */
1322   0,                                    /* @tp_members@ */
1323   0,                                    /* @tp_getset@ */
1324   0,                                    /* @tp_base@ */
1325   0,                                    /* @tp_dict@ */
1326   0,                                    /* @tp_descr_get@ */
1327   0,                                    /* @tp_descr_set@ */
1328   0,                                    /* @tp_dictoffset@ */
1329   0,                                    /* @tp_init@ */
1330   PyType_GenericAlloc,                  /* @tp_alloc@ */
1331   ecbinprojcurve_pynew,                 /* @tp_new@ */
1332   0,                                    /* @tp_free@ */
1333   0                                     /* @tp_is_gc@ */
1334 };
1335
1336 /*----- Curve info --------------------------------------------------------*/
1337
1338 static int ncurves = -1;
1339
1340 void ecinfo_copy(ec_info *eic, const ec_info *ei)
1341 {
1342   eic->c = eccurve_copy(ei->c);
1343   EC_CREATE(&eic->g);
1344   EC_COPY(&eic->g, &ei->g);
1345   eic->r = MP_COPY(ei->r);
1346   eic->h = MP_COPY(ei->h);
1347 }
1348
1349 PyObject *ecinfo_pywrap(ec_info *ei)
1350 {
1351   ecinfo_pyobj *o;
1352
1353   o = PyObject_NEW(ecinfo_pyobj, ecinfo_pytype);
1354   o->ei = *ei;
1355   o->cobj = eccurve_pywrap(0, o->ei.c);
1356   Py_INCREF(o->cobj);
1357   return ((PyObject *)o);
1358 }
1359
1360 static void ecinfo_pydealloc(PyObject *me)
1361 {
1362   ec_info *ei = ECINFO_EI(me);
1363   EC_DESTROY(&ei->g);
1364   MP_DROP(ei->r);
1365   MP_DROP(ei->h);
1366   Py_DECREF(ECINFO_COBJ(me));
1367   FREEOBJ(me);
1368 }
1369
1370 static PyObject *ecinfo_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1371 {
1372   ec_info ei = { 0 };
1373   PyObject *e, *g;
1374   char *kwlist[] = { "curve", "G", "r", "h", 0 };
1375   ecinfo_pyobj *rc = 0;
1376
1377   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O!O!O&O&:new", kwlist,
1378                                    eccurve_pytype, &e, ecpt_pytype, &g,
1379                                    convmp, &ei.r, convmp, &ei.h))
1380     goto end;
1381   if (ECPT_C(g) != ECCURVE_C(e) && !ec_samep(ECPT_C(g), ECCURVE_C(e)))
1382     TYERR("point not from this curve");
1383   ei.c = ECCURVE_C(e);
1384   EC_CREATE(&ei.g);
1385   EC_OUT(ei.c, &ei.g, ECPT_P(g));
1386   rc = (ecinfo_pyobj *)ty->tp_alloc(ty, 0);
1387   rc->ei = ei;
1388   rc->cobj = e;
1389   Py_INCREF(rc->cobj);
1390   return ((PyObject *)rc);
1391
1392 end:
1393   mp_drop(ei.r);
1394   mp_drop(ei.h);
1395   return (0);
1396 }
1397
1398 static PyObject *meth__ECInfo_parse(PyObject *me, PyObject *arg)
1399 {
1400   char *p;
1401   qd_parse qd;
1402   ec_info ei;
1403   PyObject *rc = 0;
1404
1405   if (!PyArg_ParseTuple(arg, "Os:parse", &me, &p))
1406     goto end;
1407   qd.p = p;
1408   qd.e = 0;
1409   if (ec_infoparse(&qd, &ei))
1410     VALERR(qd.e);
1411   rc = Py_BuildValue("(Ns)", ecinfo_pywrap(&ei), qd.p);
1412 end:
1413   return (rc);
1414 }
1415
1416 static PyObject *meth__ECInfo__curven(PyObject *me, PyObject *arg)
1417 {
1418   int i;
1419   ec_info ei;
1420   PyObject *rc = 0;
1421
1422   if (!PyArg_ParseTuple(arg, "Oi:_curven", &me, &i)) goto end;
1423   if (i < 0 || i >= ncurves) VALERR("curve index out of range");
1424   ec_infofromdata(&ei, ectab[i].data);
1425   rc = ecinfo_pywrap(&ei);
1426 end:
1427   return (rc);
1428 }
1429
1430 static PyObject *ecinfo_pyrichcompare(PyObject *x, PyObject *y, int op)
1431 {
1432   int b = ec_sameinfop(ECINFO_EI(x), ECINFO_EI(y));
1433   switch (op) {
1434     case Py_EQ: break;
1435     case Py_NE: b = !b;
1436     default: TYERR("can't order elliptic curve infos");
1437   }
1438   return (getbool(b));
1439 end:
1440   return (0);
1441 }
1442
1443 static PyObject *eimeth_check(PyObject *me, PyObject *arg, PyObject *kw)
1444 {
1445   char *kwlist[] = { "rng", 0 };
1446   grand *r = &rand_global;
1447   const char *p;
1448
1449   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&:check", kwlist,
1450                                    convgrand, &r))
1451     goto end;
1452   if ((p = ec_checkinfo(ECINFO_EI(me), r)) != 0)
1453     VALERR(p);
1454   RETURN_ME;
1455 end:
1456   return (0);
1457 }
1458
1459 static PyObject *eiget_curve(PyObject *me, void *hunoz)
1460   { RETURN_OBJ(ECINFO_COBJ(me)); }
1461
1462 static PyObject *eiget_G(PyObject *me, void *hunoz)
1463 {
1464   ec_info *ei = ECINFO_EI(me);
1465   ec p = EC_INIT;
1466   EC_IN(ei->c, &p, &ei->g);
1467   return (ecpt_pywrap(ECINFO_COBJ(me), &p));
1468 }
1469
1470 static PyObject *eiget_r(PyObject *me, void *hunoz)
1471   { return (mp_pywrap(MP_COPY(ECINFO_EI(me)->r))); }
1472
1473 static PyObject *eiget_h(PyObject *me, void *hunoz)
1474   { return (mp_pywrap(MP_COPY(ECINFO_EI(me)->h))); }
1475
1476 static PyGetSetDef ecinfo_pygetset[] = {
1477 #define GETSETNAME(op, name) ei##op##_##name
1478   GET   (curve,         "I.curve -> the elliptic curve")
1479   GET   (G,             "I.G -> generator point for the group")
1480   GET   (r,             "I.r -> order of the group (and hence of G")
1481   GET   (h,             "I.h -> cofactor of the group")
1482 #undef GETSETNAME
1483   { 0 }
1484 };
1485
1486 static PyMethodDef ecinfo_pymethods[] = {
1487 #define METHNAME(name) eimeth_##name
1488   KWMETH(check,         "I.check([rng = rand]) -> None")
1489 #undef METHNAME
1490   { 0 }
1491 };
1492
1493 static PyTypeObject ecinfo_pytype_skel = {
1494   PyObject_HEAD_INIT(0) 0,              /* Header */
1495   "ECInfo",                             /* @tp_name@ */
1496   sizeof(ecinfo_pyobj),                 /* @tp_basicsize@ */
1497   0,                                    /* @tp_itemsize@ */
1498
1499   ecinfo_pydealloc,                     /* @tp_dealloc@ */
1500   0,                                    /* @tp_print@ */
1501   0,                                    /* @tp_getattr@ */
1502   0,                                    /* @tp_setattr@ */
1503   0,                                    /* @tp_compare@ */
1504   0,                                    /* @tp_repr@ */
1505   0,                                    /* @tp_as_number@ */
1506   0,                                    /* @tp_as_sequence@ */
1507   0,                                    /* @tp_as_mapping@ */
1508   0,                                    /* @tp_hash@ */
1509   0,                                    /* @tp_call@ */
1510   0,                                    /* @tp_str@ */
1511   0,                                    /* @tp_getattro@ */
1512   0,                                    /* @tp_setattro@ */
1513   0,                                    /* @tp_as_buffer@ */
1514   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1515     Py_TPFLAGS_BASETYPE,
1516
1517   /* @tp_doc@ */
1518   "Elliptic curve domain parameters.",
1519
1520   0,                                    /* @tp_traverse@ */
1521   0,                                    /* @tp_clear@ */
1522   ecinfo_pyrichcompare,                 /* @tp_richcompare@ */
1523   0,                                    /* @tp_weaklistoffset@ */
1524   0,                                    /* @tp_iter@ */
1525   0,                                    /* @tp_iternext@ */
1526   ecinfo_pymethods,                     /* @tp_methods@ */
1527   0,                                    /* @tp_members@ */
1528   ecinfo_pygetset,                      /* @tp_getset@ */
1529   0,                                    /* @tp_base@ */
1530   0,                                    /* @tp_dict@ */
1531   0,                                    /* @tp_descr_get@ */
1532   0,                                    /* @tp_descr_set@ */
1533   0,                                    /* @tp_dictoffset@ */
1534   0,                                    /* @tp_init@ */
1535   PyType_GenericAlloc,                  /* @tp_alloc@ */
1536   ecinfo_pynew,                         /* @tp_new@ */
1537   0,                                    /* @tp_free@ */
1538   0                                     /* @tp_is_gc@ */
1539 };
1540
1541 /*----- Setup -------------------------------------------------------------*/
1542
1543 static PyMethodDef methods[] = {
1544 #define METHNAME(func) meth_##func
1545   METH  (_ECPt_frombuf,         "frombuf(E, STR) -> (P, REST)")
1546   METH  (_ECPtCurve_fromraw,    "fromraw(E, STR) -> (P, REST)")
1547   KWMETH(_ECPtCurve_os2ecp,     "os2ecp(E, STR, [flags = ...]) -> (P, REST)")
1548   METH  (_ECPt_parse,           "parse(E, STR) -> (P, REST)")
1549   METH  (_ECCurve_parse,        "parse(STR) -> (E, REST)")
1550   METH  (_ECInfo_parse,         "parse(STR) -> (I, REST)")
1551   METH  (_ECInfo__curven,       "_curven(N) -> I")
1552 #undef METHNAME
1553   { 0 }
1554 };
1555
1556 void ec_pyinit(void)
1557 {
1558   INITTYPE(ecpt, root);
1559   INITTYPE(ecptcurve, ecpt);
1560   INITTYPE(eccurve, type);
1561   INITTYPE(ecprimecurve, eccurve);
1562   INITTYPE(ecprimeprojcurve, ecprimecurve);
1563   INITTYPE(ecbincurve, eccurve);
1564   INITTYPE(ecbinprojcurve, ecbincurve);
1565   INITTYPE(ecinfo, root);
1566   addmethods(methods);
1567 }
1568
1569 static PyObject *namedcurves(void)
1570 {
1571   int i, j;
1572   const char *p;
1573   PyObject *d, *c;
1574
1575   d = PyDict_New();
1576   for (i = 0; ectab[i].name; i++) {
1577     p = ectab[i].name;
1578     for (j = 0; j < i; j++) {
1579       if (ectab[i].data == ectab[j].data) {
1580         c = PyDict_GetItemString(d, (/*unconst*/ char *)ectab[j].name);
1581         Py_INCREF(c);
1582         goto found;
1583       }
1584     }
1585     c = PyInt_FromLong(i);
1586   found:
1587     PyDict_SetItemString(d, (/*unconst*/ char *)p, c);
1588     Py_DECREF(c);
1589   }
1590   ncurves = i;
1591   return (d);
1592 }
1593
1594 void ec_pyinsert(PyObject *mod)
1595 {
1596   INSERT("ECPt", ecpt_pytype);
1597   INSERT("ECPtCurve", ecptcurve_pytype);
1598   INSERT("ECCurve", eccurve_pytype);
1599   INSERT("ECPrimeCurve", ecprimecurve_pytype);
1600   INSERT("ECPrimeProjCurve", ecprimeprojcurve_pytype);
1601   INSERT("ECBinCurve", ecbincurve_pytype);
1602   INSERT("ECBinProjCurve", ecbinprojcurve_pytype);
1603   INSERT("ECInfo", ecinfo_pytype);
1604   INSERT("_eccurves", namedcurves());
1605 }
1606
1607 /*----- That's all, folks -------------------------------------------------*/