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

   1 /* -*-c-*-
   2  *
   3  * Abstract group inteface
   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 /*----- DH and binary group infos -----------------------------------------*/
  32
  33 static PyTypeObject *fginfo_pytype, *dhinfo_pytype, *bindhinfo_pytype;
  34
  35 typedef struct fginfo_pyobj {
  36   PyObject_HEAD
  37   gprime_param dp;
  38 } fginfo_pyobj;
  39
  40 #define FGINFO_DP(fg) (&((fginfo_pyobj *)(fg))->dp)
  41
  42 static PyObject *fginfo_pywrap(gprime_param *dp, PyTypeObject *ty)
  43 {
  44   fginfo_pyobj *z = PyObject_New(fginfo_pyobj, ty);
  45   z->dp = *dp;
  46   return ((PyObject *)z);
  47 }
  48
  49 static PyObject *fginfo_pynew(PyTypeObject *ty,
  50                               PyObject *arg, PyObject *kw)
  51 {
  52   static const char *const kwlist[] = { "p", "r", "g", 0 };
  53   gprime_param dp = { 0 };
  54   fginfo_pyobj *z = 0;
  55
  56   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&O&:new", KWLIST,
  57                                    convmp, &dp.p,
  58                                    convmp, &dp.q,
  59                                    convmp, &dp.g))
  60     goto end;
  61   z = PyObject_New(fginfo_pyobj, ty);
  62   z->dp = dp;
  63   return ((PyObject *)z);
  64 end:
  65   mp_drop(dp.p);
  66   mp_drop(dp.q);
  67   mp_drop(dp.g);
  68   return (0);
  69 }
  70
  71 static PyObject *figet_r(PyObject *me, void *hunoz)
  72   { return mp_pywrap(MP_COPY(FGINFO_DP(me)->q)); }
  73
  74 static PyObject *diget_p(PyObject *me, void *hunoz)
  75   { return mp_pywrap(MP_COPY(FGINFO_DP(me)->p)); }
  76
  77 static PyObject *diget_g(PyObject *me, void *hunoz)
  78   { return mp_pywrap(MP_COPY(FGINFO_DP(me)->g)); }
  79
  80 static PyObject *biget_p(PyObject *me, void *hunoz)
  81   { return gf_pywrap(MP_COPY(FGINFO_DP(me)->p)); }
  82
  83 static PyObject *biget_m(PyObject *me, void *hunoz)
  84   { return PyInt_FromLong(mp_octets(FGINFO_DP(me)->p) - 1); }
  85
  86 static PyObject *biget_g(PyObject *me, void *hunoz)
  87   { return gf_pywrap(MP_COPY(FGINFO_DP(me)->g)); }
  88
  89 static void fginfo_pydealloc(PyObject *me)
  90 {
  91   mp_drop(FGINFO_DP(me)->p);
  92   mp_drop(FGINFO_DP(me)->q);
  93   mp_drop(FGINFO_DP(me)->g);
  94   FREEOBJ(me);
  95 }
  96
  97 static PyObject *dimeth_generate(PyObject *me, PyObject *arg, PyObject *kw)
  98 {
  99   dh_param dp;
 100   unsigned ql = 0, pl;
 101   unsigned steps = 0;
 102   grand *r = &rand_global;
 103   struct excinfo exc = EXCINFO_INIT;
 104   pypgev evt = { { 0 } };
 105   static const char *const kwlist[] =
 106     { "pbits", "qbits", "event", "rng", "nsteps", 0 };
 107   PyObject *rc = 0;
 108
 109   evt.exc = &exc;
 110   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&|O&O&O&O&:generate", KWLIST,
 111                                    convuint, &pl, convuint, &ql,
 112                                    convpgev, &evt, convgrand, &r,
 113                                    convuint, &steps))
 114     goto end;
 115   if (dh_gen(&dp, ql, pl, steps, r, evt.ev.proc, evt.ev.ctx))
 116     PGENERR(&exc);
 117   rc = fginfo_pywrap(&dp, dhinfo_pytype);
 118 end:
 119   droppgev(&evt);
 120   return (rc);
 121 }
 122
 123 static PyObject *dimeth_genlimlee(PyObject *me, PyObject *arg, PyObject *kw)
 124 {
 125   dh_param dp;
 126   unsigned ql, pl;
 127   unsigned steps = 0;
 128   grand *r = &rand_global;
 129   struct excinfo exc = EXCINFO_INIT;
 130   pypgev oe = { { 0 } }, ie = { { 0 } };
 131   int subgroupp = 1;
 132   unsigned f = 0;
 133   static const char *const kwlist[] = {
 134     "pbits", "qbits", "event", "ievent",
 135     "rng", "nsteps", "subgroupp", 0
 136   };
 137   size_t i, nf;
 138   mp **v = 0;
 139   PyObject *rc = 0, *vec = 0;
 140
 141   oe.exc = ie.exc = &exc;
 142   if (!PyArg_ParseTupleAndKeywords(arg, kw,
 143                                    "O&O&|O&O&O&O&O&:genlimlee", KWLIST,
 144                                    convuint, &pl, convuint, &ql,
 145                                    convpgev, &oe, convpgev, &ie,
 146                                    convgrand, &r, convuint, &steps,
 147                                    convbool, &subgroupp))
 148     goto end;
 149   if (subgroupp) f |= DH_SUBGROUP;
 150   if (dh_limlee(&dp, ql, pl, f, steps, r,
 151                 oe.ev.proc, oe.ev.ctx, ie.ev.proc, ie.ev.ctx, &nf, &v))
 152     PGENERR(&exc);
 153   vec = PyList_New(nf);
 154   for (i = 0; i < nf; i++)
 155     PyList_SET_ITEM(vec, i, mp_pywrap(v[i]));
 156   xfree(v);
 157   rc = Py_BuildValue("(NN)", fginfo_pywrap(&dp, dhinfo_pytype), vec);
 158 end:
 159   droppgev(&oe); droppgev(&ie);
 160   return (rc);
 161 }
 162
 163 static PyObject *dimeth_genkcdsa(PyObject *me, PyObject *arg, PyObject *kw)
 164 {
 165   dh_param dp;
 166   unsigned ql, pl;
 167   unsigned steps = 0;
 168   grand *r = &rand_global;
 169   struct excinfo exc = EXCINFO_INIT;
 170   pypgev evt = { { 0 } };
 171   static const char *const kwlist[] =
 172     { "pbits", "qbits", "event", "rng", "nsteps", 0 };
 173   mp *v = MP_NEW;
 174   PyObject *rc = 0;
 175
 176   evt.exc = &exc;
 177   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&|O&O&O&:genkcdsa", KWLIST,
 178                                    convuint, &pl, convuint, &ql,
 179                                    convpgev, &evt, convgrand, &r,
 180                                    convuint, &steps))
 181     goto end;
 182   if (dh_kcdsagen(&dp, ql, pl, 0, steps, r, evt.ev.proc, evt.ev.ctx))
 183     PGENERR(&exc);
 184   mp_div(&v, 0, dp.p, dp.q);
 185   v = mp_lsr(v, v, 1);
 186   rc = Py_BuildValue("(NN)", fginfo_pywrap(&dp, dhinfo_pytype),
 187                      mp_pywrap(v));
 188 end:
 189   droppgev(&evt);
 190   return (rc);
 191 }
 192
 193 static PyObject *dimeth_gendsa(PyObject *me, PyObject *arg, PyObject *kw)
 194 {
 195   dsa_param dp;
 196   unsigned ql, pl;
 197   unsigned steps = 0;
 198   dsa_seed ds;
 199   char *k;
 200   Py_ssize_t ksz;
 201   struct excinfo exc = EXCINFO_INIT;
 202   pypgev evt = { { 0 } };
 203   static const char *const kwlist[] =
 204     { "pbits", "qbits", "seed", "event", "nsteps", 0 };
 205   PyObject *rc = 0;
 206
 207   evt.exc = &exc;
 208   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&s#|O&O&:gendsa", KWLIST,
 209                                    convuint, &pl, convuint, &ql,
 210                                    &k, &ksz, convpgev, &evt,
 211                                    convuint, &steps))
 212     goto end;
 213   if (dsa_gen(&dp, ql, pl, steps, k, ksz, &ds, evt.ev.proc, evt.ev.ctx))
 214     PGENERR(&exc);
 215   rc = Py_BuildValue("(NNl)", fginfo_pywrap(&dp, dhinfo_pytype),
 216                      bytestring_pywrap(ds.p, ds.sz), (long)ds.count);
 217   xfree(ds.p);
 218 end:
 219   droppgev(&evt);
 220   return (rc);
 221 }
 222
 223 static int npgroups = -1, nbingroups = -1;
 224
 225 static PyObject *namedgroups(const pentry *pp, int *ne)
 226 {
 227   int i, j;
 228   const char *p;
 229   PyObject *d, *c;
 230
 231   d = PyDict_New();
 232   for (i = 0; pp[i].name; i++) {
 233     p = pp[i].name;
 234     for (j = 0; j < i; j++) {
 235       if (pp[i].data == pp[j].data) {
 236         c = PyDict_GetItemString(d, (/*unconst*/ char *)pp[j].name);
 237         Py_INCREF(c);
 238         goto found;
 239       }
 240     }
 241     c = PyInt_FromLong(i);
 242   found:
 243     PyDict_SetItemString(d, (/*unconst*/ char *)p, c);
 244     Py_DECREF(c);
 245   }
 246   *ne = i;
 247   return (d);
 248 }
 249
 250 static PyObject *meth__groupn(PyObject *me, PyObject *arg,
 251                               PyTypeObject *ty, const pentry *pp, int ne)
 252 {
 253   int i;
 254   gprime_param gp;
 255   PyObject *rc = 0;
 256
 257   if (!PyArg_ParseTuple(arg, "i:_groupn", &i)) goto end;
 258   if (i < 0 || i >= ne) VALERR("group index out of range");
 259   dh_infofromdata(&gp, pp[i].data);
 260   rc = fginfo_pywrap(&gp, ty);
 261 end:
 262   return (rc);
 263 }
 264
 265 static PyObject *dimeth__groupn(PyObject *me, PyObject *arg)
 266   { return (meth__groupn(me, arg, dhinfo_pytype, ptab, npgroups)); }
 267
 268 static PyObject *bimeth__groupn(PyObject *me, PyObject *arg)
 269   { return (meth__groupn(me, arg, bindhinfo_pytype, bintab, nbingroups)); }
 270
 271 static PyObject *meth__parse(PyObject *me, PyObject *arg, PyTypeObject *ty,
 272                              int (*parse)(qd_parse *, gprime_param *))
 273 {
 274   qd_parse qd;
 275   char *p;
 276   gprime_param gp;
 277   PyObject *rc = 0;
 278
 279   if (!PyArg_ParseTuple(arg, "s:parse", &p)) goto end;
 280   qd.p = p; qd.e = 0;
 281   if (parse(&qd, &gp)) VALERR(qd.e);
 282   rc = fginfo_pywrap(&gp, ty);
 283 end:
 284   return (rc);
 285 }
 286
 287 static PyObject *dimeth_parse(PyObject *me, PyObject *arg)
 288   { return (meth__parse(me, arg, dhinfo_pytype, dh_parse)); }
 289
 290 static PyObject *bimeth_parse(PyObject *me, PyObject *arg)
 291   { return (meth__parse(me, arg, bindhinfo_pytype, dhbin_parse)); }
 292
 293 static const PyGetSetDef fginfo_pygetset[] = {
 294 #define GETSETNAME(op, name) fi##op##_##name
 295   GET   (r,             "I.r -> group order")
 296 #undef GETSETNAME
 297   { 0 }
 298 };
 299
 300 static const PyGetSetDef dhinfo_pygetset[] = {
 301 #define GETSETNAME(op, name) di##op##_##name
 302   GET   (p,             "I.p -> prime")
 303   GET   (g,             "I.g -> generator")
 304 #undef GETSETNAME
 305   { 0 }
 306 };
 307
 308 static const PyMethodDef dhinfo_pymethods[] = {
 309 #define METHNAME(name) dimeth_##name
 310   SMTH  (parse,         "parse(STR) -> D, REST")
 311   SMTH  (_groupn,       0)
 312   KWSMTH(generate,
 313        "generate(PBITS, [qbits = 0], [event = pgen_nullev],\n"
 314        "         [rng = rand], [nsteps = 0]) -> D")
 315   KWSMTH(genlimlee,
 316        "genlimlee(PBITS, QBITS, [event = pgen_nullev], "
 317                                                   "[ievent = pgen_nullev],\n"
 318        "          [rng = rand], [nsteps = 0], [subgroupp = True]) "
 319                                                           "-> (D, [Q, ...])")
 320   KWSMTH(gendsa,
 321        "gendsa(PBITS, QBITS, SEED, [event = pgen_nullev], [nsteps = 0])\n"
 322        "  -> (D, SEED, COUNT)")
 323   KWSMTH(genkcdsa,
 324        "gendsa(PBITS, QBITS, [event = pgen_nullev], "
 325                                               "[rng = rand], [nsteps = 0])\n"
 326        "  -> (D, V)")
 327 #undef METHNAME
 328   { 0 }
 329 };
 330
 331 static const PyGetSetDef bindhinfo_pygetset[] = {
 332 #define GETSETNAME(op, name) bi##op##_##name
 333   GET   (p,             "I.p -> irreducible polynomial")
 334   GET   (m,             "I.m -> degree of polynomial")
 335   GET   (g,             "I.g -> generator")
 336 #undef GETSETNAME
 337   { 0 }
 338 };
 339
 340 static const PyMethodDef bindhinfo_pymethods[] = {
 341 #define METHNAME(name) bimeth_##name
 342   SMTH  (parse,         "parse(STR) -> D, REST")
 343   SMTH  (_groupn,       0)
 344 #undef METHNAME
 345   { 0 }
 346 };
 347
 348 static PyTypeObject fginfo_pytype_skel = {
 349   PyObject_HEAD_INIT(0) 0,              /* Header */
 350   "FGInfo",                             /* @tp_name@ */
 351   sizeof(fginfo_pyobj),                 /* @tp_basicsize@ */
 352   0,                                    /* @tp_itemsize@ */
 353
 354   fginfo_pydealloc,                     /* @tp_dealloc@ */
 355   0,                                    /* @tp_print@ */
 356   0,                                    /* @tp_getattr@ */
 357   0,                                    /* @tp_setattr@ */
 358   0,                                    /* @tp_compare@ */
 359   0,                                    /* @tp_repr@ */
 360   0,                                    /* @tp_as_number@ */
 361   0,                                    /* @tp_as_sequence@ */
 362   0,                                    /* @tp_as_mapping@ */
 363   0,                                    /* @tp_hash@ */
 364   0,                                    /* @tp_call@ */
 365   0,                                    /* @tp_str@ */
 366   0,                                    /* @tp_getattro@ */
 367   0,                                    /* @tp_setattro@ */
 368   0,                                    /* @tp_as_buffer@ */
 369   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 370     Py_TPFLAGS_BASETYPE,
 371
 372   /* @tp_doc@ */
 373   "Abstract base class for field-group information objects.",
 374
 375   0,                                    /* @tp_traverse@ */
 376   0,                                    /* @tp_clear@ */
 377   0,                                    /* @tp_richcompare@ */
 378   0,                                    /* @tp_weaklistoffset@ */
 379   0,                                    /* @tp_iter@ */
 380   0,                                    /* @tp_iternext@ */
 381   0,                                    /* @tp_methods@ */
 382   0,                                    /* @tp_members@ */
 383   PYGETSET(fginfo),                     /* @tp_getset@ */
 384   0,                                    /* @tp_base@ */
 385   0,                                    /* @tp_dict@ */
 386   0,                                    /* @tp_descr_get@ */
 387   0,                                    /* @tp_descr_set@ */
 388   0,                                    /* @tp_dictoffset@ */
 389   0,                                    /* @tp_init@ */
 390   PyType_GenericAlloc,                  /* @tp_alloc@ */
 391   abstract_pynew,                       /* @tp_new@ */
 392   0,                                    /* @tp_free@ */
 393   0                                     /* @tp_is_gc@ */
 394 };
 395
 396 static PyTypeObject dhinfo_pytype_skel = {
 397   PyObject_HEAD_INIT(0) 0,              /* Header */
 398   "DHInfo",                             /* @tp_name@ */
 399   sizeof(fginfo_pyobj),                 /* @tp_basicsize@ */
 400   0,                                    /* @tp_itemsize@ */
 401
 402   fginfo_pydealloc,                     /* @tp_dealloc@ */
 403   0,                                    /* @tp_print@ */
 404   0,                                    /* @tp_getattr@ */
 405   0,                                    /* @tp_setattr@ */
 406   0,                                    /* @tp_compare@ */
 407   0,                                    /* @tp_repr@ */
 408   0,                                    /* @tp_as_number@ */
 409   0,                                    /* @tp_as_sequence@ */
 410   0,                                    /* @tp_as_mapping@ */
 411   0,                                    /* @tp_hash@ */
 412   0,                                    /* @tp_call@ */
 413   0,                                    /* @tp_str@ */
 414   0,                                    /* @tp_getattro@ */
 415   0,                                    /* @tp_setattro@ */
 416   0,                                    /* @tp_as_buffer@ */
 417   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 418     Py_TPFLAGS_BASETYPE,
 419
 420   /* @tp_doc@ */
 421   "DHInfo(P, R, G): standard (integer) Diffie-Hellman group information.",
 422
 423   0,                                    /* @tp_traverse@ */
 424   0,                                    /* @tp_clear@ */
 425   0,                                    /* @tp_richcompare@ */
 426   0,                                    /* @tp_weaklistoffset@ */
 427   0,                                    /* @tp_iter@ */
 428   0,                                    /* @tp_iternext@ */
 429   PYMETHODS(dhinfo),                    /* @tp_methods@ */
 430   0,                                    /* @tp_members@ */
 431   PYGETSET(dhinfo),                     /* @tp_getset@ */
 432   0,                                    /* @tp_base@ */
 433   0,                                    /* @tp_dict@ */
 434   0,                                    /* @tp_descr_get@ */
 435   0,                                    /* @tp_descr_set@ */
 436   0,                                    /* @tp_dictoffset@ */
 437   0,                                    /* @tp_init@ */
 438   PyType_GenericAlloc,                  /* @tp_alloc@ */
 439   fginfo_pynew,                         /* @tp_new@ */
 440   0,                                    /* @tp_free@ */
 441   0                                     /* @tp_is_gc@ */
 442 };
 443
 444 static PyTypeObject bindhinfo_pytype_skel = {
 445   PyObject_HEAD_INIT(0) 0,              /* Header */
 446   "BinDHInfo",                          /* @tp_name@ */
 447   sizeof(fginfo_pyobj),                 /* @tp_basicsize@ */
 448   0,                                    /* @tp_itemsize@ */
 449
 450   fginfo_pydealloc,                     /* @tp_dealloc@ */
 451   0,                                    /* @tp_print@ */
 452   0,                                    /* @tp_getattr@ */
 453   0,                                    /* @tp_setattr@ */
 454   0,                                    /* @tp_compare@ */
 455   0,                                    /* @tp_repr@ */
 456   0,                                    /* @tp_as_number@ */
 457   0,                                    /* @tp_as_sequence@ */
 458   0,                                    /* @tp_as_mapping@ */
 459   0,                                    /* @tp_hash@ */
 460   0,                                    /* @tp_call@ */
 461   0,                                    /* @tp_str@ */
 462   0,                                    /* @tp_getattro@ */
 463   0,                                    /* @tp_setattro@ */
 464   0,                                    /* @tp_as_buffer@ */
 465   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 466     Py_TPFLAGS_BASETYPE,
 467
 468   /* @tp_doc@ */
 469   "BinDHInfo(P, R, G): binary-field Diffie-Hellman group information.",
 470
 471   0,                                    /* @tp_traverse@ */
 472   0,                                    /* @tp_clear@ */
 473   0,                                    /* @tp_richcompare@ */
 474   0,                                    /* @tp_weaklistoffset@ */
 475   0,                                    /* @tp_iter@ */
 476   0,                                    /* @tp_iternext@ */
 477   PYMETHODS(bindhinfo),                 /* @tp_methods@ */
 478   0,                                    /* @tp_members@ */
 479   PYGETSET(bindhinfo),                  /* @tp_getset@ */
 480   0,                                    /* @tp_base@ */
 481   0,                                    /* @tp_dict@ */
 482   0,                                    /* @tp_descr_get@ */
 483   0,                                    /* @tp_descr_set@ */
 484   0,                                    /* @tp_dictoffset@ */
 485   0,                                    /* @tp_init@ */
 486   PyType_GenericAlloc,                  /* @tp_alloc@ */
 487   fginfo_pynew,                         /* @tp_new@ */
 488   0,                                    /* @tp_free@ */
 489   0                                     /* @tp_is_gc@ */
 490 };
 491
 492 /*----- General utilities -------------------------------------------------*/
 493
 494 PyTypeObject *ge_pytype, *group_pytype;
 495 static PyTypeObject *primegroup_pytype, *bingroup_pytype, *ecgroup_pytype;
 496
 497 group *group_copy(group *g)
 498 {
 499   if (STRCMP(G_NAME(g), ==, "prime")) {
 500     gctx_prime *gc = (gctx_prime *)g;
 501     gprime_param gp;
 502     gp.g = G_TOINT(g, MP_NEW, g->g);
 503     gp.p = gc->mm.m;
 504     gp.q = gc->g.r;
 505     g = group_prime(&gp);
 506     MP_DROP(gp.g);
 507   } else if (STRCMP(G_NAME(g), ==, "bin")) {
 508     gctx_bin *gc = (gctx_bin *)g;
 509     gbin_param gb;
 510     gb.g = G_TOINT(g, MP_NEW, g->g);
 511     gb.p = gc->r.p;
 512     gb.q = gc->g.r;
 513     g = group_binary(&gb);
 514     MP_DROP(gb.g);
 515   } else if (STRCMP(G_NAME(g), ==, "ec")) {
 516     gctx_ec *gc = (gctx_ec *)g;
 517     ec_info ei;
 518     if ((ei.c = eccurve_copy(gc->ei.c)) == 0)
 519       return (0);
 520     EC_CREATE(&ei.g);
 521     EC_COPY(&ei.g, &gc->ei.g);
 522     ei.r = MP_COPY(gc->ei.r);
 523     ei.h = MP_COPY(gc->ei.h);
 524     g = group_ec(&ei);
 525   } else
 526     g = 0;
 527   return (g);
 528 }
 529
 530 PyObject *ge_pywrap(PyObject *gobj, ge *x)
 531 {
 532   ge_pyobj *z = PyObject_New(ge_pyobj, (PyTypeObject *)gobj);
 533   z->x = x;
 534   z->g = GROUP_G(gobj);
 535   Py_INCREF(gobj);
 536   return ((PyObject *)z);
 537 }
 538
 539 static PyObject *ge_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
 540 {
 541   static const char *const kwlist[] = { "x", 0 };
 542   PyObject *x;
 543   group *g;
 544   ec p = EC_INIT;
 545   mp *y = 0;
 546   ge *xx = 0;
 547   mptext_stringctx sc;
 548
 549   g = GROUP_G(ty);
 550   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", KWLIST, &x)) goto end;
 551   xx = G_CREATE(g);
 552   if (ECPT_PYCHECK(x)) {
 553     getecptout(&p, x);
 554     if (G_FROMEC(g, xx, &p))
 555       TYERR("can't convert from elliptic curve point");
 556     EC_DESTROY(&p);
 557   } else if ((y = tomp(x)) != 0) {
 558     if (G_FROMINT(g, xx, y))
 559       TYERR("can't convert from integer");
 560     MP_DROP(y);
 561   } else if (PyString_Check(x)) {
 562     sc.buf = PyString_AS_STRING(x);
 563     sc.lim = sc.buf + PyString_GET_SIZE(x);
 564     if (G_READ(g, xx, &mptext_stringops, &sc) || sc.buf < sc.lim)
 565       VALERR("malformed group element string");
 566   } else
 567     TYERR("can't convert to group element");
 568   return (ge_pywrap((PyObject *)ty, xx));
 569 end:
 570   mp_drop(y);
 571   EC_DESTROY(&p);
 572   if (xx) G_DESTROY(g, xx);
 573   return (0);
 574 }
 575
 576 static PyObject *group_dopywrap(PyTypeObject *ty, group *g)
 577 {
 578   group_pyobj *gobj = newtype(ty, 0, g->ops->name);
 579   gobj->g = g;
 580   gobj->ty.ht_type.tp_basicsize = sizeof(ge_pyobj);
 581   gobj->ty.ht_type.tp_base = ge_pytype;
 582   Py_INCREF(group_pytype);
 583   gobj->ty.ht_type.tp_flags = (Py_TPFLAGS_DEFAULT |
 584                                Py_TPFLAGS_BASETYPE |
 585                                Py_TPFLAGS_CHECKTYPES |
 586                                Py_TPFLAGS_HEAPTYPE);
 587   gobj->ty.ht_type.tp_alloc = PyType_GenericAlloc;
 588   gobj->ty.ht_type.tp_free = 0;
 589   gobj->ty.ht_type.tp_new = ge_pynew;
 590   typeready(&gobj->ty.ht_type);
 591   return ((PyObject *)gobj);
 592 }
 593
 594 PyObject *group_pywrap(group *g)
 595 {
 596   PyTypeObject *ty;
 597
 598   if (STRCMP(G_NAME(g), ==, "prime")) ty = primegroup_pytype;
 599   else if (STRCMP(G_NAME(g), ==, "bin")) ty = bingroup_pytype;
 600   else if (STRCMP(G_NAME(g), ==, "ec")) ty = ecgroup_pytype;
 601   else abort();
 602   return (group_dopywrap(ty, g));
 603 }
 604
 605 /*----- Group elements ----------------------------------------------------*/
 606
 607 #define BINOP(name)                                                     \
 608   static PyObject *ge_py##name(PyObject *x, PyObject *y)                \
 609   {                                                                     \
 610     ge *z;                                                              \
 611     group *g;                                                           \
 612     if (!GE_PYCHECK(x) || !GE_PYCHECK(y) ||                             \
 613         (GE_G(x) != GE_G(y) && !group_samep(GE_G(x), GE_G(y))))         \
 614       RETURN_NOTIMPL;                                                   \
 615     g = GE_G(x);                                                        \
 616     z = G_CREATE(g);                                                    \
 617     g->ops->name(g, z, GE_X(x), GE_X(y));                               \
 618     return (ge_pywrap(GE_GOBJ(x), z));                                  \
 619   }
 620 BINOP(mul)
 621 BINOP(div)
 622 #undef BINOP
 623
 624 #define UNOP(name)                                                      \
 625   static PyObject *gemeth_##name(PyObject *me)                          \
 626   {                                                                     \
 627     group *g;                                                           \
 628     ge *z;                                                              \
 629     g = GE_G(me);                                                       \
 630     z = G_CREATE(g);                                                    \
 631     g->ops->name(g, z, GE_X(me));                                       \
 632     return (ge_pywrap(GE_GOBJ(me), z));                                 \
 633   }
 634 UNOP(sqr)
 635 UNOP(inv)
 636 #undef UNOP
 637
 638 static PyObject *ge_pyexp(PyObject *x, PyObject *n, PyObject *m)
 639 {
 640   mp *nn;
 641   ge *z;
 642
 643   if (m != Py_None || !GE_PYCHECK(x) || (nn = getmp(n)) == 0)
 644     RETURN_NOTIMPL;
 645   z = G_CREATE(GE_G(x));
 646   G_EXP(GE_G(x), z, GE_X(x), nn);
 647   MP_DROP(nn);
 648   return (ge_pywrap(GE_GOBJ(x), z));
 649 }
 650
 651 static void ge_pydealloc(PyObject *me)
 652 {
 653   G_DESTROY(GE_G(me), GE_X(me));
 654   Py_DECREF(GE_GOBJ(me));
 655   FREEOBJ(me);
 656 }
 657
 658 static void group_pydealloc(PyObject *me)
 659 {
 660   G_DESTROYGROUP(GROUP_G(me));
 661   PyType_Type.tp_dealloc(me);
 662 }
 663
 664 static PyObject *gmexp_id(PyObject *me)
 665 {
 666   group *g = GROUP_G(me); ge *x = G_CREATE(g);
 667   G_COPY(g, x, g->i); return (ge_pywrap(me, x));
 668 }
 669
 670 static int gmexp_fill(void *pp, PyObject  *me, PyObject *x, PyObject *m)
 671 {
 672   group_expfactor *f = pp;
 673
 674   if (!GE_PYCHECK(x) || GE_G(x) != GROUP_G(me) || (f->exp = getmp(m)) == 0)
 675     return (-1);
 676   f->base = GE_X(x);
 677   return (0);
 678 }
 679
 680 static PyObject *ge_pyrichcompare(PyObject *x, PyObject *y, int op)
 681 {
 682   int b;
 683   PyObject *rc = 0;
 684
 685   if (!GE_PYCHECK(x) || !GE_PYCHECK(y) ||
 686       (GE_G(x) != GE_G(y) && !group_samep(GE_G(x), GE_G(y))))
 687     RETURN_NOTIMPL;
 688   switch (op) {
 689     case Py_EQ: b = G_EQ(GE_G(x), GE_X(x), GE_X(y)); break;
 690     case Py_NE: b = !G_EQ(GE_G(x), GE_X(x), GE_X(y)); break;
 691     default: TYERR("group elements are unordered");
 692   }
 693   rc = getbool(b);
 694 end:
 695   return (rc);
 696 }
 697
 698 static PyObject *gemeth_check(PyObject *me)
 699 {
 700   if (group_check(GE_G(me), GE_X(me))) VALERR("bad group element");
 701   RETURN_OBJ(me);
 702 end:
 703   return (0);
 704 }
 705
 706 static int ge_pynonzerop(PyObject *x)
 707   { return (!G_IDENTP(GE_G(x), GE_X(x))); }
 708
 709 static PyObject *ge_pystr(PyObject *me)
 710 {
 711   dstr d = DSTR_INIT;
 712   PyObject *rc;
 713
 714   group_writedstr(GE_G(me), GE_X(me), &d);
 715   rc = PyString_FromStringAndSize(d.buf, d.len);
 716   DDESTROY(&d);
 717   return (rc);
 718 }
 719
 720 static PyObject *ge_pylong(PyObject *me)
 721 {
 722   mp *x = 0;
 723   PyObject *rc = 0;
 724
 725   if ((x = G_TOINT(GE_G(me), MP_NEW, GE_X(me))) == 0)
 726     TYERR("can't convert to integer");
 727   rc = mp_topylong(x);
 728 end:
 729   mp_drop(x);
 730   return (rc);
 731 }
 732
 733 static PyObject *ge_pyint(PyObject *me)
 734 {
 735   mp *x = 0;
 736   PyObject *rc = 0;
 737   long l;
 738
 739   if ((x = G_TOINT(GE_G(me), MP_NEW, GE_X(me))) == 0)
 740     TYERR("can't convert to integer");
 741   if (!mp_tolong_checked(x, &l, 0)) rc = PyInt_FromLong(l);
 742   else rc = mp_topylong(x);
 743 end:
 744   mp_drop(x);
 745   return (rc);
 746 }
 747
 748 static PyObject *gemeth_toint(PyObject *me)
 749 {
 750   mp *x;
 751
 752   if ((x = G_TOINT(GE_G(me), MP_NEW, GE_X(me))) == 0)
 753     TYERR("can't convert to integer");
 754   return (mp_pywrap(x));
 755 end:
 756   return (0);
 757 }
 758
 759 static PyObject *gemeth_toec(PyObject *me, PyObject *arg, PyObject *kw)
 760 {
 761   static const char *const kwlist[] = { "curve", 0 };
 762   PyTypeObject *cty = 0;
 763   PyObject *rc = 0;
 764   group *g;
 765   ec_curve *c;
 766   ec p = EC_INIT;
 767
 768   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O:toec", KWLIST,
 769                                    &cty)) goto end;
 770   g = GROUP_G(GE_GOBJ(me));
 771   if (cty) {
 772     if (!PyType_Check(cty) || !PyType_IsSubtype(cty, ecpt_pytype))
 773       TYERR("want subtype of catacomb.ECPt");
 774     Py_INCREF((PyObject *)cty);
 775   } else if (STRCMP(G_NAME(g), ==, "ec")) {
 776     c = eccurve_copy(((gctx_ec *)g)->ei.c);
 777     cty = (PyTypeObject *)eccurve_pywrap(0, c);
 778   } else  {
 779     cty = ecpt_pytype;
 780     Py_INCREF((PyObject *)cty);
 781   }
 782   if (G_TOEC(GE_G(me), &p, GE_X(me))) {
 783     Py_DECREF((PyObject *)cty);
 784     TYERR("can't convert to ec point");
 785   }
 786   rc = ecpt_pywrapout(cty, &p);
 787   Py_DECREF((PyObject *)cty);
 788 end:
 789   return (rc);
 790 }
 791
 792 static PyObject *gemeth_tobuf(PyObject *me)
 793 {
 794   buf b;
 795   PyObject *rc;
 796   size_t n;
 797
 798   n = GE_G(me)->noctets + 4;
 799   rc = bytestring_pywrap(0, n);
 800   buf_init(&b, PyString_AS_STRING(rc), n);
 801   G_TOBUF(GE_G(me), &b, GE_X(me));
 802   assert(BOK(&b));
 803   _PyString_Resize(&rc, BLEN(&b));
 804   return (rc);
 805 }
 806
 807 static PyObject *gemeth_toraw(PyObject *me)
 808 {
 809   buf b;
 810   PyObject *rc;
 811   size_t n;
 812
 813   n = GE_G(me)->noctets;
 814   rc = bytestring_pywrap(0, n);
 815   buf_init(&b, PyString_AS_STRING(rc), n);
 816   G_TORAW(GE_G(me), &b, GE_X(me));
 817   assert(BOK(&b));
 818   _PyString_Resize(&rc, BLEN(&b));
 819   return (rc);
 820 }
 821
 822 static PyObject *gmexp_exp(PyObject *me, void *pp, int n)
 823 {
 824   ge *z = G_CREATE(GROUP_G(me));
 825   G_MEXP(GROUP_G(me), z, pp, n);
 826   return (ge_pywrap(me, z));
 827 }
 828
 829 static void gmexp_drop(void *pp)
 830 {
 831   group_expfactor *f = pp;
 832   MP_DROP(f->exp);
 833 }
 834
 835 static PyObject *gmeth_mexp(PyObject *me, PyObject *arg)
 836 {
 837   return (mexp_common(me, arg, sizeof(group_expfactor),
 838                       gmexp_id, gmexp_fill, gmexp_exp, gmexp_drop));
 839 }
 840
 841 static PyObject *gmeth_checkgroup(PyObject *me, PyObject *arg, PyObject *kw)
 842 {
 843   static const char *const kwlist[] = { "rng", 0 };
 844   grand *r = &rand_global;
 845   const char *p;
 846
 847   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&:checkgroup", KWLIST,
 848                                    convgrand, &r))
 849     goto end;
 850   if ((p = G_CHECK(GROUP_G(me), r)) != 0)
 851     VALERR(p);
 852   RETURN_OBJ(me);
 853 end:
 854   return (0);
 855 }
 856
 857 static PyObject *group_pyrichcompare(PyObject *x, PyObject *y, int op)
 858 {
 859   int b = group_samep(GROUP_G(x), GROUP_G(y));
 860   switch (op) {
 861     case Py_EQ: break;
 862     case Py_NE: b = !b;
 863     default: TYERR("can't order groups");
 864   }
 865   return (getbool(b));
 866 end:
 867   return (0);
 868 }
 869
 870 static PyObject *gemeth_frombuf(PyObject *me, PyObject *arg)
 871 {
 872   buf b;
 873   char *p;
 874   Py_ssize_t n;
 875   group *g;
 876   ge *x = 0;
 877
 878   if (!PyArg_ParseTuple(arg, "s#:frombuf", &p, &n)) return (0);
 879   g = GROUP_G(me);
 880   buf_init(&b, p, n);
 881   x = G_CREATE(g);
 882   if (G_FROMBUF(g, &b, x)) VALERR("invalid data");
 883   return (Py_BuildValue("(NN)", ge_pywrap(me, x), bytestring_pywrapbuf(&b)));
 884 end:
 885   if (x) G_DESTROY(g, x);
 886   return (0);
 887 }
 888
 889 static PyObject *gemeth_fromraw(PyObject *me, PyObject *arg)
 890 {
 891   buf b;
 892   char *p;
 893   Py_ssize_t n;
 894   group *g;
 895   ge *x = 0;
 896
 897   if (!PyArg_ParseTuple(arg, "s#:fromraw", &p, &n)) return (0);
 898   g = GROUP_G(me);
 899   buf_init(&b, p, n);
 900   x = G_CREATE(g);
 901   if (G_FROMRAW(g, &b, x)) VALERR("invalid data");
 902   return (Py_BuildValue("(NN)", ge_pywrap(me, x), bytestring_pywrapbuf(&b)));
 903 end:
 904   if (x) G_DESTROY(g, x);
 905   return (0);
 906 }
 907
 908 static PyObject *gemeth_fromstring(PyObject *me, PyObject *arg)
 909 {
 910   mptext_stringctx sc;
 911   char *p;
 912   Py_ssize_t n;
 913   group *g;
 914   ge *x = 0;
 915
 916   if (!PyArg_ParseTuple(arg, "s#:fromstring", &p, &n)) return (0);
 917   sc.buf = p;
 918   sc.lim = sc.buf + n;
 919   g = GROUP_G(me);
 920   x = G_CREATE(g);
 921   if (G_READ(g, x, &mptext_stringops, &sc))
 922     VALERR("bad group element string");
 923   return (Py_BuildValue("(Ns#)", ge_pywrap(me, x),
 924                         sc.buf, (Py_ssize_t)(sc.lim - sc.buf)));
 925 end:
 926   if (x) G_DESTROY(g, x);
 927   return (0);
 928 }
 929
 930 static PyObject *gmeth_parse(PyObject *me, PyObject *arg)
 931 {
 932   char *p;
 933   qd_parse qd;
 934   group *g;
 935
 936   if (!PyArg_ParseTuple(arg, "s:parse", &p)) goto end;
 937   qd.p = p; qd.e = 0;
 938   if ((g = group_parse(&qd)) == 0) VALERR(qd.e);
 939   return (group_pywrap(g));
 940 end:
 941   return (0);
 942 }
 943
 944 static PyObject *geget_group(PyObject *me, void *hunoz)
 945   { RETURN_OBJ(GE_GOBJ(me)); }
 946
 947 static PyObject *gget_nbits(PyObject *me, void *hunoz)
 948   { return (PyInt_FromLong(GROUP_G(me)->nbits)); }
 949
 950 static PyObject *gget_noctets(PyObject *me, void *hunoz)
 951   { return (PyInt_FromLong(GROUP_G(me)->noctets)); }
 952
 953 static PyObject *gget_i(PyObject *me, void *hunoz)
 954 {
 955   group *g = GROUP_G(me); ge *x = G_CREATE(g);
 956   G_COPY(g, x, g->i); return (ge_pywrap(me, x));
 957 }
 958
 959 static PyObject *gget_g(PyObject *me, void *hunoz)
 960 {
 961   group *g = GROUP_G(me); ge *x = G_CREATE(g);
 962   G_COPY(g, x, g->g); return (ge_pywrap(me, x));
 963 }
 964
 965 static long ge_pyhash(PyObject *me)
 966 {
 967   buf b;
 968   size_t sz = GE_G(me)->noctets + 4;
 969   uint32 h = 0xf672c776 + GE_G(me)->ops->ty;
 970   octet *p = xmalloc(sz);
 971   buf_init(&b, p, sz);
 972   G_TOBUF(GE_G(me), &b, GE_X(me));
 973   assert(BOK(&b));
 974   h = unihash_hash(&unihash_global, h, BBASE(&b), BLEN(&b));
 975   xfree(p);
 976   return (h % LONG_MAX);
 977 }
 978
 979 static PyObject *gget_r(PyObject *me, void *hunoz)
 980   { return (mp_pywrap(MP_COPY(GROUP_G(me)->r))); }
 981
 982 static PyObject *gget_h(PyObject *me, void *hunoz)
 983   { return (mp_pywrap(MP_COPY(GROUP_G(me)->h))); }
 984
 985 static const PyGetSetDef ge_pygetset[] = {
 986 #define GETSETNAME(op, name) ge##op##_##name
 987   GET   (group,         "X.group -> group containing X")
 988 #undef GETSETNAME
 989   { 0 }
 990 };
 991
 992 static const PyMethodDef ge_pymethods[] = {
 993 #define METHNAME(name) gemeth_##name
 994   NAMETH(inv,           "X.inv() -> inverse element of X")
 995   NAMETH(sqr,           "X.sqr() -> X^2 = X * X")
 996   NAMETH(check,         "X.check() -> check X really belongs to its group")
 997   NAMETH(toint,         "X.toint() -> X converted to an integer")
 998   KWMETH(toec,          "X.toec([curve = ECPt]) -> "
 999                                        "X converted to elliptic curve point")
1000   NAMETH(tobuf,         "X.tobuf() -> X in buffer representation")
1001   NAMETH(toraw,         "X.toraw() -> X in raw representation")
1002   CMTH  (frombuf,       "frombuf(BUF) -> X, REST")
1003   CMTH  (fromraw,       "fromraw(BUF) -> X, REST")
1004   CMTH  (fromstring,    "fromstring(STR) -> X, REST")
1005 #undef METHNAME
1006   { 0 }
1007 };
1008
1009 static const PyNumberMethods ge_pynumber = {
1010   0,                                    /* @nb_add@ */
1011   0,                                    /* @nb_subtract@ */
1012   ge_pymul,                             /* @nb_multiply@ */
1013   ge_pydiv,                             /* @nb_divide@ */
1014   0,                                    /* @nb_remainder@ */
1015   0,                                    /* @nb_divmod@ */
1016   ge_pyexp,                             /* @nb_power@ */
1017   0,                                    /* @nb_negative@ */
1018   0,                                    /* @nb_positive@ */
1019   0,                                    /* @nb_absolute@ */
1020   ge_pynonzerop,                        /* @nb_nonzero@ */
1021   0,                                    /* @nb_invert@ */
1022   0,                                    /* @nb_lshift@ */
1023   0,                                    /* @nb_rshift@ */
1024   0,                                    /* @nb_and@ */
1025   0,                                    /* @nb_xor@ */
1026   0,                                    /* @nb_or@ */
1027   0,                                    /* @nb_coerce@ */
1028   ge_pyint,                             /* @nb_int@ */
1029   ge_pylong,                            /* @nb_long@ */
1030   0 /* meaningless */,                  /* @nb_float@ */
1031   0,                                    /* @nb_oct@ */
1032   0,                                    /* @nb_hex@ */
1033
1034   0,                                    /* @nb_inplace_add@ */
1035   0,                                    /* @nb_inplace_subtract@ */
1036   0,                                    /* @nb_inplace_multiply@ */
1037   0,                                    /* @nb_inplace_divide@ */
1038   0,                                    /* @nb_inplace_remainder@ */
1039   0,                                    /* @nb_inplace_power@ */
1040   0,                                    /* @nb_inplace_lshift@ */
1041   0,                                    /* @nb_inplace_rshift@ */
1042   0,                                    /* @nb_inplace_and@ */
1043   0,                                    /* @nb_inplace_xor@ */
1044   0,                                    /* @nb_inplace_or@ */
1045
1046   0,                                    /* @nb_floor_divide@ */
1047   ge_pydiv,                             /* @nb_true_divide@ */
1048   0,                                    /* @nb_inplace_floor_divide@ */
1049   0,                                    /* @nb_inplace_true_divide@ */
1050 };
1051
1052 static PyTypeObject ge_pytype_skel = {
1053   PyObject_HEAD_INIT(0) 0,              /* Header */
1054   "GE",                                 /* @tp_name@ */
1055   sizeof(ge_pyobj),                     /* @tp_basicsize@ */
1056   0,                                    /* @tp_itemsize@ */
1057
1058   ge_pydealloc,                         /* @tp_dealloc@ */
1059   0,                                    /* @tp_print@ */
1060   0,                                    /* @tp_getattr@ */
1061   0,                                    /* @tp_setattr@ */
1062   0,                                    /* @tp_compare@ */
1063   0,                                    /* @tp_repr@ */
1064   PYNUMBER(ge),                         /* @tp_as_number@ */
1065   0,                                    /* @tp_as_sequence@ */
1066   0,                                    /* @tp_as_mapping@ */
1067   ge_pyhash,                            /* @tp_hash@ */
1068   0,                                    /* @tp_call@ */
1069   ge_pystr,                             /* @tp_str@ */
1070   0,                                    /* @tp_getattro@ */
1071   0,                                    /* @tp_setattro@ */
1072   0,                                    /* @tp_as_buffer@ */
1073   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1074     Py_TPFLAGS_CHECKTYPES |
1075     Py_TPFLAGS_BASETYPE,
1076
1077   /* @tp_doc@ */
1078   "Group elements, abstract base class.",
1079
1080   0,                                    /* @tp_traverse@ */
1081   0,                                    /* @tp_clear@ */
1082   ge_pyrichcompare,                     /* @tp_richcompare@ */
1083   0,                                    /* @tp_weaklistoffset@ */
1084   0,                                    /* @tp_iter@ */
1085   0,                                    /* @tp_iternext@ */
1086   PYMETHODS(ge),                        /* @tp_methods@ */
1087   0,                                    /* @tp_members@ */
1088   PYGETSET(ge),                         /* @tp_getset@ */
1089   0,                                    /* @tp_base@ */
1090   0,                                    /* @tp_dict@ */
1091   0,                                    /* @tp_descr_get@ */
1092   0,                                    /* @tp_descr_set@ */
1093   0,                                    /* @tp_dictoffset@ */
1094   0,                                    /* @tp_init@ */
1095   PyType_GenericAlloc,                  /* @tp_alloc@ */
1096   abstract_pynew,                       /* @tp_new@ */
1097   0,                                    /* @tp_free@ */
1098   0                                     /* @tp_is_gc@ */
1099 };
1100
1101 static const PyGetSetDef group_pygetset[] = {
1102 #define GETSETNAME(op, name) g##op##_##name
1103   GET   (noctets,       "G.noctets -> size in octets of element")
1104   GET   (nbits,         "G.nbits -> size in bits of element")
1105   GET   (i,             "G.i -> group identity")
1106   GET   (g,             "G.g -> group generator")
1107   GET   (r,             "G.r -> group order")
1108   GET   (h,             "G.h -> group cofactor")
1109 #undef GETSETNAME
1110   { 0 }
1111 };
1112
1113 static const PyMethodDef group_pymethods[] = {
1114 #define METHNAME(name) gmeth_##name
1115   METH  (mexp,        "G.mexp([(X0, N0), (X1, N1), ...]) -> X0^N0 X1^N1 ...")
1116   KWMETH(checkgroup,    "G.checkgroup([rng = rand]): check group is good")
1117   SMTH  (parse,         "parse(STR) -> G, REST")
1118 #undef METHNAME
1119   { 0 }
1120 };
1121
1122 static PyTypeObject group_pytype_skel = {
1123   PyObject_HEAD_INIT(0) 0,              /* Header */
1124   "Group",                              /* @tp_name@ */
1125   sizeof(group_pyobj),                  /* @tp_basicsize@ */
1126   0,                                    /* @tp_itemsize@ */
1127
1128   group_pydealloc,                      /* @tp_dealloc@ */
1129   0,                                    /* @tp_print@ */
1130   0,                                    /* @tp_getattr@ */
1131   0,                                    /* @tp_setattr@ */
1132   0,                                    /* @tp_compare@ */
1133   0,                                    /* @tp_repr@ */
1134   0,                                    /* @tp_as_number@ */
1135   0,                                    /* @tp_as_sequence@ */
1136   0,                                    /* @tp_as_mapping@ */
1137   0,                                    /* @tp_hash@ */
1138   0,                                    /* @tp_call@ */
1139   0,                                    /* @tp_str@ */
1140   0,                                    /* @tp_getattro@ */
1141   0,                                    /* @tp_setattro@ */
1142   0,                                    /* @tp_as_buffer@ */
1143   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1144     Py_TPFLAGS_BASETYPE,
1145
1146   /* @tp_doc@ */
1147   "Abstract base class for groups.",
1148
1149   0,                                    /* @tp_traverse@ */
1150   0,                                    /* @tp_clear@ */
1151   group_pyrichcompare,                  /* @tp_richcompare@ */
1152   0,                                    /* @tp_weaklistoffset@ */
1153   0,                                    /* @tp_iter@ */
1154   0,                                    /* @tp_iternext@ */
1155   PYMETHODS(group),                     /* @tp_methods@ */
1156   0,                                    /* @tp_members@ */
1157   PYGETSET(group),                      /* @tp_getset@ */
1158   0,                                    /* @tp_base@ */
1159   0,                                    /* @tp_dict@ */
1160   0,                                    /* @tp_descr_get@ */
1161   0,                                    /* @tp_descr_set@ */
1162   0,                                    /* @tp_dictoffset@ */
1163   0,                                    /* @tp_init@ */
1164   PyType_GenericAlloc,                  /* @tp_alloc@ */
1165   abstract_pynew,                       /* @tp_new@ */
1166   0,                                    /* @tp_free@ */
1167   0                                     /* @tp_is_gc@ */
1168 };
1169
1170 static PyObject *pgget_info(PyObject *me, void *hunoz)
1171 {
1172   gprime_param dp;
1173   gctx_prime *gg = (gctx_prime *)GROUP_G(me);
1174   dp.p = MP_COPY(gg->mm.m);
1175   dp.q = MP_COPY(gg->g.r);
1176   dp.g = mpmont_reduce(&gg->mm, MP_NEW, gg->gen.x);
1177   return (fginfo_pywrap(&dp, dhinfo_pytype));
1178 }
1179
1180 static const PyGetSetDef primegroup_pygetset[] = {
1181 #define GETSETNAME(op, name) pg##op##_##name
1182   GET   (info,          "G.info -> information about the group")
1183 #undef GETSETNAME
1184   { 0 }
1185 };
1186
1187 static PyObject *primegroup_pynew(PyTypeObject *ty,
1188                                   PyObject *arg, PyObject *kw)
1189 {
1190   PyObject *i;
1191   static const char *const kwlist[] = { "info", 0 };
1192
1193   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O!:new", KWLIST,
1194                                    dhinfo_pytype, &i))
1195     return (0);
1196   return (group_dopywrap(ty, group_prime(FGINFO_DP(i))));
1197 }
1198
1199 static PyTypeObject primegroup_pytype_skel = {
1200   PyObject_HEAD_INIT(0) 0,              /* Header */
1201   "PrimeGroup",                         /* @tp_name@ */
1202   sizeof(group_pyobj),                  /* @tp_basicsize@ */
1203   0,                                    /* @tp_itemsize@ */
1204
1205   group_pydealloc,                      /* @tp_dealloc@ */
1206   0,                                    /* @tp_print@ */
1207   0,                                    /* @tp_getattr@ */
1208   0,                                    /* @tp_setattr@ */
1209   0,                                    /* @tp_compare@ */
1210   0,                                    /* @tp_repr@ */
1211   0,                                    /* @tp_as_number@ */
1212   0,                                    /* @tp_as_sequence@ */
1213   0,                                    /* @tp_as_mapping@ */
1214   0,                                    /* @tp_hash@ */
1215   0,                                    /* @tp_call@ */
1216   0,                                    /* @tp_str@ */
1217   0,                                    /* @tp_getattro@ */
1218   0,                                    /* @tp_setattro@ */
1219   0,                                    /* @tp_as_buffer@ */
1220   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1221     Py_TPFLAGS_BASETYPE,
1222
1223   /* @tp_doc@ */
1224   "PrimeGroup(INFO): subgroups of prime fields.",
1225
1226   0,                                    /* @tp_traverse@ */
1227   0,                                    /* @tp_clear@ */
1228   0,                                    /* @tp_richcompare@ */
1229   0,                                    /* @tp_weaklistoffset@ */
1230   0,                                    /* @tp_iter@ */
1231   0,                                    /* @tp_iternext@ */
1232   0,                                    /* @tp_methods@ */
1233   0,                                    /* @tp_members@ */
1234   PYGETSET(primegroup),                 /* @tp_getset@ */
1235   0,                                    /* @tp_base@ */
1236   0,                                    /* @tp_dict@ */
1237   0,                                    /* @tp_descr_get@ */
1238   0,                                    /* @tp_descr_set@ */
1239   0,                                    /* @tp_dictoffset@ */
1240   0,                                    /* @tp_init@ */
1241   PyType_GenericAlloc,                  /* @tp_alloc@ */
1242   primegroup_pynew,                     /* @tp_new@ */
1243   0,                                    /* @tp_free@ */
1244   0                                     /* @tp_is_gc@ */
1245 };
1246
1247 static PyObject *bgget_info(PyObject *me, void *hunoz)
1248 {
1249   gbin_param dp;
1250   gctx_bin *gg = (gctx_bin *)GROUP_G(me);
1251   dp.p = MP_COPY(gg->r.p);
1252   dp.q = MP_COPY(gg->g.r);
1253   dp.g = MP_COPY(gg->gen.x);
1254   return (fginfo_pywrap(&dp, bindhinfo_pytype));
1255 }
1256
1257 static const PyGetSetDef bingroup_pygetset[] = {
1258 #define GETSETNAME(op, name) bg##op##_##name
1259   GET   (info,          "G.info -> information about the group")
1260 #undef GETSETNAME
1261   { 0 }
1262 };
1263
1264 static PyObject *bingroup_pynew(PyTypeObject *ty,
1265                                 PyObject *arg, PyObject *kw)
1266 {
1267   PyObject *i;
1268   static const char *const kwlist[] = { "info", 0 };
1269
1270   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O!:new", KWLIST,
1271                                    bindhinfo_pytype, &i))
1272     return (0);
1273   return (group_dopywrap(ty, group_binary(FGINFO_DP(i))));
1274 }
1275
1276 static PyTypeObject bingroup_pytype_skel = {
1277   PyObject_HEAD_INIT(0) 0,              /* Header */
1278   "BinGroup",                           /* @tp_name@ */
1279   sizeof(group_pyobj),                  /* @tp_basicsize@ */
1280   0,                                    /* @tp_itemsize@ */
1281
1282   group_pydealloc,                      /* @tp_dealloc@ */
1283   0,                                    /* @tp_print@ */
1284   0,                                    /* @tp_getattr@ */
1285   0,                                    /* @tp_setattr@ */
1286   0,                                    /* @tp_compare@ */
1287   0,                                    /* @tp_repr@ */
1288   0,                                    /* @tp_as_number@ */
1289   0,                                    /* @tp_as_sequence@ */
1290   0,                                    /* @tp_as_mapping@ */
1291   0,                                    /* @tp_hash@ */
1292   0,                                    /* @tp_call@ */
1293   0,                                    /* @tp_str@ */
1294   0,                                    /* @tp_getattro@ */
1295   0,                                    /* @tp_setattro@ */
1296   0,                                    /* @tp_as_buffer@ */
1297   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1298     Py_TPFLAGS_BASETYPE,
1299
1300   /* @tp_doc@ */
1301   "BinGroup(INFO): subgroups of binary fields.",
1302
1303   0,                                    /* @tp_traverse@ */
1304   0,                                    /* @tp_clear@ */
1305   0,                                    /* @tp_richcompare@ */
1306   0,                                    /* @tp_weaklistoffset@ */
1307   0,                                    /* @tp_iter@ */
1308   0,                                    /* @tp_iternext@ */
1309   0,                                    /* @tp_methods@ */
1310   0,                                    /* @tp_members@ */
1311   PYGETSET(bingroup),                   /* @tp_getset@ */
1312   0,                                    /* @tp_base@ */
1313   0,                                    /* @tp_dict@ */
1314   0,                                    /* @tp_descr_get@ */
1315   0,                                    /* @tp_descr_set@ */
1316   0,                                    /* @tp_dictoffset@ */
1317   0,                                    /* @tp_init@ */
1318   PyType_GenericAlloc,                  /* @tp_alloc@ */
1319   bingroup_pynew,                       /* @tp_new@ */
1320   0,                                    /* @tp_free@ */
1321   0                                     /* @tp_is_gc@ */
1322 };
1323
1324 static PyObject *egget_info(PyObject *me, void *hunoz)
1325 {
1326   ec_info ei;
1327   gctx_ec *gg = (gctx_ec *)GROUP_G(me);
1328
1329   ecinfo_copy(&ei, &gg->ei);
1330   return (ecinfo_pywrap(&ei));
1331 }
1332
1333 static const PyGetSetDef ecgroup_pygetset[] = {
1334 #define GETSETNAME(op, name) eg##op##_##name
1335   GET   (info,          "G.info -> information about the group")
1336 #undef GETSETNAME
1337   { 0 }
1338 };
1339
1340 static PyObject *ecgroup_pynew(PyTypeObject *ty,
1341                                PyObject *arg, PyObject *kw)
1342 {
1343   PyObject *i;
1344   ec_info ei;
1345   static const char *const kwlist[] = { "info", 0 };
1346
1347   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O!:new", KWLIST,
1348                                    ecinfo_pytype, &i))
1349     return (0);
1350   ecinfo_copy(&ei, ECINFO_EI(i));
1351   return (group_dopywrap(ty, group_ec(&ei)));
1352 }
1353
1354 static PyTypeObject ecgroup_pytype_skel = {
1355   PyObject_HEAD_INIT(0) 0,              /* Header */
1356   "ECGroup",                            /* @tp_name@ */
1357   sizeof(group_pyobj),                  /* @tp_basicsize@ */
1358   0,                                    /* @tp_itemsize@ */
1359
1360   group_pydealloc,                      /* @tp_dealloc@ */
1361   0,                                    /* @tp_print@ */
1362   0,                                    /* @tp_getattr@ */
1363   0,                                    /* @tp_setattr@ */
1364   0,                                    /* @tp_compare@ */
1365   0,                                    /* @tp_repr@ */
1366   0,                                    /* @tp_as_number@ */
1367   0,                                    /* @tp_as_sequence@ */
1368   0,                                    /* @tp_as_mapping@ */
1369   0,                                    /* @tp_hash@ */
1370   0,                                    /* @tp_call@ */
1371   0,                                    /* @tp_str@ */
1372   0,                                    /* @tp_getattro@ */
1373   0,                                    /* @tp_setattro@ */
1374   0,                                    /* @tp_as_buffer@ */
1375   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
1376     Py_TPFLAGS_BASETYPE,
1377
1378   /* @tp_doc@ */
1379   "ECGroup(INFO): elliptic curve groups.",
1380
1381   0,                                    /* @tp_traverse@ */
1382   0,                                    /* @tp_clear@ */
1383   0,                                    /* @tp_richcompare@ */
1384   0,                                    /* @tp_weaklistoffset@ */
1385   0,                                    /* @tp_iter@ */
1386   0,                                    /* @tp_iternext@ */
1387   0,                                    /* @tp_methods@ */
1388   0,                                    /* @tp_members@ */
1389   PYGETSET(ecgroup),                    /* @tp_getset@ */
1390   0,                                    /* @tp_base@ */
1391   0,                                    /* @tp_dict@ */
1392   0,                                    /* @tp_descr_get@ */
1393   0,                                    /* @tp_descr_set@ */
1394   0,                                    /* @tp_dictoffset@ */
1395   0,                                    /* @tp_init@ */
1396   PyType_GenericAlloc,                  /* @tp_alloc@ */
1397   ecgroup_pynew,                        /* @tp_new@ */
1398   0,                                    /* @tp_free@ */
1399   0                                     /* @tp_is_gc@ */
1400 };
1401
1402 /*----- Global stuff ------------------------------------------------------*/
1403
1404 void group_pyinit(void)
1405 {
1406   INITTYPE(fginfo, root);
1407   INITTYPE(dhinfo, fginfo);
1408   INITTYPE(bindhinfo, dhinfo);
1409   INITTYPE(ge, root);
1410   INITTYPE(group, type);
1411   INITTYPE(primegroup, group);
1412   INITTYPE(bingroup, group);
1413   INITTYPE(ecgroup, group);
1414 }
1415
1416 void group_pyinsert(PyObject *mod)
1417 {
1418   INSERT("FGInfo", fginfo_pytype);
1419   INSERT("DHInfo", dhinfo_pytype);
1420   INSERT("BinDHInfo", bindhinfo_pytype);
1421   INSERT("GE", ge_pytype);
1422   INSERT("Group", group_pytype);
1423   INSERT("PrimeGroup", primegroup_pytype);
1424   INSERT("BinGroup", bingroup_pytype);
1425   INSERT("ECGroup", ecgroup_pytype);
1426   INSERT("_pgroups", namedgroups(ptab, &npgroups));
1427   INSERT("_bingroups", namedgroups(bintab, &nbingroups));
1428 }
1429
1430 /*----- That's all, folks -------------------------------------------------*/