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