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