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

   1 /* -*-c-*-
   2  *
   3  * Abstract fields
   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 /*----- Various utilities -------------------------------------------------*/
  32
  33 PyTypeObject *field_pytype;
  34 PyTypeObject *primefield_pytype;
  35 PyTypeObject *niceprimefield_pytype;
  36 PyTypeObject *binfield_pytype;
  37 PyTypeObject *binpolyfield_pytype;
  38 PyTypeObject *binnormfield_pytype;
  39 PyTypeObject *fe_pytype;
  40
  41 static PyObject *fe_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
  42 {
  43   PyObject *x;
  44   mp *z;
  45   static const char *const kwlist[] = { "x", 0 };
  46
  47   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:fe", KWLIST, &x))
  48     return (0);
  49   if (FE_PYCHECK(x) && FE_F(x) == FIELD_F(ty)) RETURN_OBJ(x);
  50   if ((z = getmp(x)) == 0) return (0);
  51   z = F_IN(FIELD_F(ty), z, z);
  52   return (fe_pywrap((PyObject *)ty, z));
  53 }
  54
  55 static PyObject *field_dopywrap(PyTypeObject *ty, field *f)
  56 {
  57   field_pyobj *fobj = newtype(ty, 0, f->ops->name);
  58   fobj->f = f;
  59   fobj->ty.ht_type.tp_basicsize = sizeof(fe_pyobj);
  60   fobj->ty.ht_type.tp_base = fe_pytype;
  61   Py_INCREF(fe_pytype);
  62   fobj->ty.ht_type.tp_flags = (Py_TPFLAGS_DEFAULT |
  63                                Py_TPFLAGS_BASETYPE |
  64                                Py_TPFLAGS_CHECKTYPES |
  65                                Py_TPFLAGS_HEAPTYPE);
  66   fobj->ty.ht_type.tp_alloc = PyType_GenericAlloc;
  67   fobj->ty.ht_type.tp_free = 0;
  68   fobj->ty.ht_type.tp_new = fe_pynew;
  69   typeready(&fobj->ty.ht_type);
  70   return ((PyObject *)fobj);
  71 }
  72
  73 PyObject *field_pywrap(field *f)
  74 {
  75   PyTypeObject *ty;
  76
  77   if (STRCMP(F_NAME(f), ==, "prime")) ty = primefield_pytype;
  78   else if (STRCMP(F_NAME(f), ==, "niceprime")) ty = niceprimefield_pytype;
  79   else if (STRCMP(F_NAME(f), ==, "binpoly")) ty = binpolyfield_pytype;
  80   else if (STRCMP(F_NAME(f), ==, "binnorm")) ty = binnormfield_pytype;
  81   else abort();
  82   return (field_dopywrap(ty, f));
  83 }
  84
  85 field *field_copy(field *f)
  86 {
  87   if (STRCMP(F_NAME(f), ==, "prime"))
  88     f = field_prime(f->m);
  89   else if (STRCMP(F_NAME(f), ==, "niceprime"))
  90     f = field_niceprime(f->m);
  91   else if (STRCMP(F_NAME(f), ==, "binpoly"))
  92     f = field_binpoly(f->m);
  93   else if (STRCMP(F_NAME(f), ==, "binnorm")) {
  94     fctx_binnorm *fc = (fctx_binnorm *)f;
  95     f = field_binnorm(f->m, fc->ntop.r[fc->ntop.n - 1]);
  96   } else
  97     abort();
  98   return (f);
  99 }
 100
 101 PyObject *fe_pywrap(PyObject *fobj, mp *x)
 102 {
 103   fe_pyobj *z = PyObject_New(fe_pyobj, (PyTypeObject *)fobj);
 104   z->f = FIELD_F(fobj);
 105   Py_INCREF(fobj);
 106   z->x = x;
 107   return ((PyObject *)z);
 108 }
 109
 110 static mp *tofe(field *f, PyObject *o)
 111 {
 112   mp *x = 0, *y = 0;
 113
 114   if (FE_PYCHECK(o)) {
 115     if (FE_F(o) != f && !field_samep(FE_F(o), f)) return (0);
 116     y = MP_COPY(FE_X(o));
 117   } else if ((x = tomp(o)) != 0) {
 118     if (MP_ZEROP(x))
 119       y = MP_COPY(f->zero);
 120     else if (MP_EQ(x, MP_ONE))
 121       y = MP_COPY(f->one);
 122     else
 123       y = F_IN(f, MP_NEW, x);
 124     MP_DROP(x);
 125   }
 126   return (y);
 127 }
 128
 129 /*----- Field elements ----------------------------------------------------*/
 130
 131 static int febinop(PyObject *x, PyObject *y,
 132                    field **f, PyObject **fobj, mp **xx, mp **yy)
 133 {
 134   if (FE_PYCHECK(x)) *fobj = FE_FOBJ(x);
 135   else if (FE_PYCHECK(y)) *fobj = FE_FOBJ(y);
 136   else return (-1);
 137   *f = FIELD_F(*fobj);
 138   if ((*xx = tofe(*f, x)) == 0)
 139     return (-1);
 140   if ((*yy = tofe(*f, y)) == 0) {
 141     MP_DROP(*xx);
 142     return (-1);
 143   }
 144   return (0);
 145 }
 146
 147 #define BINOP(name)                                                     \
 148   static PyObject *fe_py##name(PyObject *x, PyObject *y) {              \
 149     PyObject *fobj;                                                     \
 150     field *ff;                                                          \
 151     mp *xx, *yy, *zz;                                                   \
 152     if (febinop(x, y, &ff, &fobj, &xx, &yy)) RETURN_NOTIMPL;            \
 153     zz = ff->ops->name(ff, MP_NEW, xx, yy);                             \
 154     MP_DROP(xx); MP_DROP(yy);                                           \
 155     return (fe_pywrap(fobj, zz));                                       \
 156   }
 157 BINOP(add)
 158 BINOP(sub)
 159 BINOP(mul)
 160 #undef BINOP
 161
 162 static PyObject *fe_pydiv(PyObject *x, PyObject *y)
 163 {
 164   PyObject *fobj;
 165   field *ff;
 166   mp *xx, *yy;
 167   PyObject *z = 0;
 168   if (febinop(x, y, &ff, &fobj, &xx, &yy)) RETURN_NOTIMPL;
 169   if (F_ZEROP(ff, yy)) ZDIVERR("division by zero");
 170   yy = F_INV(ff, yy, yy);
 171   z = fe_pywrap(fobj, F_MUL(ff, MP_NEW, xx, yy));
 172 end:
 173   MP_DROP(xx); MP_DROP(yy);
 174   return (z);
 175 }
 176
 177 static PyObject *fe_pyexp(PyObject *x, PyObject *y, PyObject *z)
 178 {
 179   field *ff;
 180   mp *xx, *yy;
 181
 182   if (z != Py_None || !FE_PYCHECK(x) || (yy = tomp(y)) == 0)
 183     RETURN_NOTIMPL;
 184   ff = FE_F(x); xx = FE_X(x); MP_COPY(xx);
 185   if (MP_NEGP(yy) && F_ZEROP(ff, xx)) ZDIVERR("division by zero");
 186   z = fe_pywrap(FE_FOBJ(x), field_exp(ff, MP_NEW, xx, yy));
 187 end:
 188   MP_DROP(xx); MP_DROP(yy);
 189   return (z);
 190 }
 191
 192 static PyObject *fe_pyneg(PyObject *x)
 193 {
 194   return fe_pywrap(FE_FOBJ(x), FE_F(x)->ops->neg(FE_F(x), MP_NEW, FE_X(x)));
 195 }
 196
 197 static PyObject *fe_pyid(PyObject *x) { RETURN_OBJ(x); }
 198
 199 static int fe_pynonzerop(PyObject *x) { return !F_ZEROP(FE_F(x), FE_X(x)); }
 200
 201 static PyObject *fe_pyrichcompare(PyObject *x, PyObject *y, int op)
 202 {
 203   PyObject *fobj;
 204   field *ff;
 205   mp *xx, *yy;
 206   int b;
 207   PyObject *rc = 0;
 208
 209   if (febinop(x, y, &ff, &fobj, &xx, &yy)) RETURN_NOTIMPL;
 210   switch (op) {
 211     case Py_EQ: b = MP_EQ(xx, yy); break;
 212     case Py_NE: b = !MP_EQ(xx, yy); break;
 213     default: TYERR("field elements are unordered");
 214   }
 215   rc = getbool(b);
 216 end:
 217   MP_DROP(xx); MP_DROP(yy);
 218   return (rc);
 219 }
 220
 221 static long fe_pyhash(PyObject *me)
 222   { return (mphash(FE_X(me))); }
 223
 224 static int fe_pycoerce(PyObject **x, PyObject **y)
 225 {
 226   mp *z;
 227
 228   if (FE_PYCHECK(*y)) {
 229     if (FE_F(*x) != FE_F(*y) && !field_samep(FE_F(*x), FE_F(*y)))
 230       TYERR("field mismatch");
 231     Py_INCREF(*x); Py_INCREF(*y);
 232     return (0);
 233   }
 234   if ((z = tofe(FE_F(*x), *y)) != 0) {
 235     Py_INCREF(*x);
 236     *y = fe_pywrap(FE_FOBJ(*x), z);
 237     return (0);
 238   }
 239   return (1);
 240
 241 end:
 242   return (-1);
 243 }
 244
 245 static PyObject *fe_pyint(PyObject *x)
 246 {
 247   long l;
 248   PyObject *rc;
 249   mp *xx = F_OUT(FE_F(x), MP_NEW, FE_X(x));
 250   if (!mp_tolong_checked(xx, &l, 0)) rc = PyInt_FromLong(l);
 251   else rc = mp_topylong(xx);
 252   MP_DROP(xx);
 253   return (rc);
 254 }
 255
 256 static PyObject *fe_pylong(PyObject *x)
 257 {
 258   mp *xx = F_OUT(FE_F(x), MP_NEW, FE_X(x));
 259   PyObject *rc = mp_topylong(xx);
 260   MP_DROP(xx);
 261   return (rc);
 262 }
 263
 264 #define BASEOP(name, radix, pre)                                        \
 265   static PyObject *fe_py##name(PyObject *x) {                           \
 266     mp *xx = F_OUT(FE_F(x), MP_NEW, FE_X(x));                           \
 267     PyObject *rc = mp_topystring(xx, radix, 0, pre, 0);                 \
 268     MP_DROP(xx);                                                        \
 269     return (rc);                                                        \
 270   }
 271 BASEOP(oct, 8, "0");
 272 BASEOP(hex, 16, "0x");
 273 #undef BASEOP
 274
 275 static void fe_pydealloc(PyObject *me)
 276 {
 277   Py_DECREF(FE_FOBJ(me));
 278   MP_DROP(FE_X(me));
 279   FREEOBJ(me);
 280 }
 281
 282 #define UNOP(name, check)                                               \
 283   static PyObject *femeth_##name(PyObject *me, PyObject *arg) {         \
 284     field *f = FE_F(me);                                                \
 285     mp *x = FE_X(me);                                                   \
 286     if (!PyArg_ParseTuple(arg, ":" #name)) return (0);                  \
 287     if (!f->ops->name) TYERR(#name " not supported for this field");    \
 288     check                                                               \
 289     x = f->ops->name(f, MP_NEW, x);                                     \
 290     if (!x) RETURN_NONE;                                                \
 291     return (fe_pywrap(FE_FOBJ(me), x));                                 \
 292   end:                                                                  \
 293     return (0);                                                         \
 294   }
 295 UNOP(inv, if (F_ZEROP(f, x)) ZDIVERR("division by zero"); )
 296 UNOP(sqr, ; )
 297 UNOP(sqrt, ; )
 298 UNOP(quadsolve, ; )
 299 UNOP(dbl, ; )
 300 UNOP(tpl, ; )
 301 UNOP(qdl, ; )
 302 UNOP(hlv, ; )
 303 #undef UNOP
 304
 305 static PyObject *feget_field(PyObject *me, void *hunoz)
 306   { RETURN_OBJ(FE_FOBJ(me)); }
 307
 308 static PyObject *feget_value(PyObject *me, void *hunoz)
 309 {
 310   mp *x = F_OUT(FE_F(me), MP_NEW, FE_X(me));
 311   if (F_TYPE(FE_F(me)) == FTY_BINARY)
 312     return (gf_pywrap(x));
 313   else
 314     return (mp_pywrap(x));
 315 }
 316
 317 static PyObject *feget__value(PyObject *me, void *hunoz)
 318 {
 319   mp *x = FE_X(me);
 320   MP_COPY(x);
 321   if (F_TYPE(FE_F(me)) == FTY_BINARY)
 322     return (gf_pywrap(x));
 323   else
 324     return (mp_pywrap(x));
 325 }
 326
 327 static const PyGetSetDef fe_pygetset[] = {
 328 #define GETSETNAME(op, name) fe##op##_##name
 329   GET   (field,         "X.field -> field containing X")
 330   GET   (value,         "X.value -> `natural' MP/GF representation of X")
 331   GET   (_value,        "X._value -> internal MP/GF representation of X")
 332 #undef GETSETNAME
 333   { 0 }
 334 };
 335
 336 static const PyMethodDef fe_pymethods[] = {
 337 #define METHNAME(func) femeth_##func
 338   METH  (inv,           "X.inv() -> X^{-1}")
 339   METH  (sqr,           "X.sqr() -> X^2")
 340   METH  (sqrt,          "X.sqrt() -> sqrt(X)")
 341   METH  (quadsolve,     "X.quadsolve() -> Y where Y^2 + Y = X (binary only)")
 342   METH  (dbl,           "X.dbl() -> 2 * X (prime only)")
 343   METH  (tpl,           "X.tpl() -> 3 * X (prime only)")
 344   METH  (qdl,           "X.qdl() -> 4 * X (prime only)")
 345   METH  (hlv,           "X.hlv() -> X/2 (prime only)")
 346 #undef METHNAME
 347   { 0 }
 348 };
 349
 350 static const PyNumberMethods fe_pynumber = {
 351   fe_pyadd,                             /* @nb_add@ */
 352   fe_pysub,                             /* @nb_subtract@ */
 353   fe_pymul,                             /* @nb_multiply@ */
 354   fe_pydiv,                             /* @nb_divide@ */
 355   0,                                    /* @nb_remainder@ */
 356   0,                                    /* @nb_divmod@ */
 357   fe_pyexp,                             /* @nb_power@ */
 358   fe_pyneg,                             /* @nb_negative@ */
 359   fe_pyid,                              /* @nb_positive@ */
 360   0,                                    /* @nb_absolute@ */
 361   fe_pynonzerop,                        /* @nb_nonzero@ */
 362   0,                                    /* @nb_invert@ */
 363   0,                                    /* @nb_lshift@ */
 364   0,                                    /* @nb_rshift@ */
 365   0,                                    /* @nb_and@ */
 366   0,                                    /* @nb_xor@ */
 367   0,                                    /* @nb_or@ */
 368   fe_pycoerce,                          /* @nb_coerce@ */
 369   fe_pyint,                             /* @nb_int@ */
 370   fe_pylong,                            /* @nb_long@ */
 371   0 /* meaningless */,                  /* @nb_float@ */
 372   fe_pyoct,                             /* @nb_oct@ */
 373   fe_pyhex,                             /* @nb_hex@ */
 374
 375   0,                                    /* @nb_inplace_add@ */
 376   0,                                    /* @nb_inplace_subtract@ */
 377   0,                                    /* @nb_inplace_multiply@ */
 378   0,                                    /* @nb_inplace_divide@ */
 379   0,                                    /* @nb_inplace_remainder@ */
 380   0,                                    /* @nb_inplace_power@ */
 381   0,                                    /* @nb_inplace_lshift@ */
 382   0,                                    /* @nb_inplace_rshift@ */
 383   0,                                    /* @nb_inplace_and@ */
 384   0,                                    /* @nb_inplace_xor@ */
 385   0,                                    /* @nb_inplace_or@ */
 386
 387   0,                                    /* @nb_floor_divide@ */
 388   fe_pydiv,                             /* @nb_true_divide@ */
 389   0,                                    /* @nb_inplace_floor_divide@ */
 390   0,                                    /* @nb_inplace_true_divide@ */
 391 };
 392
 393 static PyTypeObject fe_pytype_skel = {
 394   PyObject_HEAD_INIT(0) 0,              /* Header */
 395   "FE",                                 /* @tp_name@ */
 396   sizeof(fe_pyobj),                     /* @tp_basicsize@ */
 397   0,                                    /* @tp_itemsize@ */
 398
 399   fe_pydealloc,                         /* @tp_dealloc@ */
 400   0,                                    /* @tp_print@ */
 401   0,                                    /* @tp_getattr@ */
 402   0,                                    /* @tp_setattr@ */
 403   0,                                    /* @tp_compare@ */
 404   0,                                    /* @tp_repr@ */
 405   PYNUMBER(fe),                         /* @tp_as_number@ */
 406   0,                                    /* @tp_as_sequence@ */
 407   0,                                    /* @tp_as_mapping@ */
 408   fe_pyhash,                            /* @tp_hash@ */
 409   0,                                    /* @tp_call@ */
 410   fe_pyhex,                             /* @tp_str@ */
 411   0,                                    /* @tp_getattro@ */
 412   0,                                    /* @tp_setattro@ */
 413   0,                                    /* @tp_as_buffer@ */
 414   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 415     Py_TPFLAGS_CHECKTYPES |
 416     Py_TPFLAGS_BASETYPE,
 417
 418   /* @tp_doc@ */
 419   "Finite field elements, abstract base class.",
 420
 421   0,                                    /* @tp_traverse@ */
 422   0,                                    /* @tp_clear@ */
 423   fe_pyrichcompare,                     /* @tp_richcompare@ */
 424   0,                                    /* @tp_weaklistoffset@ */
 425   0,                                    /* @tp_iter@ */
 426   0,                                    /* @tp_iternext@ */
 427   PYMETHODS(fe),                        /* @tp_methods@ */
 428   0,                                    /* @tp_members@ */
 429   PYGETSET(fe),                         /* @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   abstract_pynew,                       /* @tp_new@ */
 438   0,                                    /* @tp_free@ */
 439   0                                     /* @tp_is_gc@ */
 440 };
 441
 442 /*----- Fields ------------------------------------------------------------*/
 443
 444 static PyObject *field_pyrichcompare(PyObject *x, PyObject *y, int op)
 445 {
 446   int b = field_samep(FIELD_F(x), FIELD_F(y));
 447   switch (op) {
 448     case Py_EQ: break;
 449     case Py_NE: b = !b;
 450     default: TYERR("can't order fields");
 451   }
 452   return (getbool(b));
 453 end:
 454   return (0);
 455 }
 456
 457 static PyObject *fmeth_rand(PyObject *me, PyObject *arg, PyObject *kw)
 458 {
 459   static const char *const kwlist[] = { "rng", 0 };
 460   grand *r = &rand_global;
 461
 462   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&:rand", KWLIST,
 463                                    convgrand, &r))
 464     return (0);
 465   return (fe_pywrap(me, F_RAND(FIELD_F(me), MP_NEW, r)));
 466 }
 467
 468 static PyObject *fmeth__adopt(PyObject *me, PyObject *arg)
 469 {
 470   mp *xx;
 471   if (!PyArg_ParseTuple(arg, "O&:_adopt", convmp, &xx)) return (0);
 472   return (fe_pywrap(me, xx));
 473 }
 474
 475 static PyObject *fmeth_parse(PyObject *me, PyObject *arg)
 476 {
 477   field *f;
 478   char *p;
 479   PyObject *rc = 0;
 480   qd_parse qd;
 481
 482   if (!PyArg_ParseTuple(arg, "s:parse", &p)) goto end;
 483   qd.p = p; qd.e = 0;
 484   if ((f = field_parse(&qd)) == 0) VALERR(qd.e);
 485   rc = Py_BuildValue("(Ns)", field_pywrap(f), qd.p);
 486 end:
 487   return (rc);
 488 }
 489
 490 static void field_pydealloc(PyObject *me)
 491 {
 492   F_DESTROY(FIELD_F(me));
 493   PyType_Type.tp_dealloc(me);
 494 }
 495
 496 static PyObject *fget_zero(PyObject *me, void *hunoz)
 497   { return (fe_pywrap(me, MP_COPY(FIELD_F(me)->zero))); }
 498
 499 static PyObject *fget_one(PyObject *me, void *hunoz)
 500   { return (fe_pywrap(me, MP_COPY(FIELD_F(me)->one))); }
 501
 502 static PyObject *fget_q(PyObject *me, void *hunoz)
 503   { return (mp_pywrap(MP_COPY(FIELD_F(me)->q))); }
 504
 505 static PyObject *fget_nbits(PyObject *me, void *hunoz)
 506   { return (PyInt_FromLong(FIELD_F(me)->nbits)); }
 507
 508 static PyObject *fget_noctets(PyObject *me, void *hunoz)
 509   { return (PyInt_FromLong(FIELD_F(me)->noctets)); }
 510
 511 static PyObject *fget_name(PyObject *me, void *hunoz)
 512   { return (PyString_FromString(F_NAME(FIELD_F(me)))); }
 513
 514 static PyObject *fget_type(PyObject *me, void *hunoz)
 515   { return (PyInt_FromLong(F_TYPE(FIELD_F(me)))); }
 516
 517 static const PyGetSetDef field_pygetset[] = {
 518 #define GETSETNAME(op, name) f##op##_##name
 519   GET   (zero,          "F.zero -> field additive identity")
 520   GET   (one,           "F.one -> field multiplicative identity")
 521   GET   (q,             "F.q -> number of elements in field")
 522   GET   (nbits,         "F.nbits -> bits needed to represent element")
 523   GET   (noctets,       "F.noctets -> octetss needed to represent element")
 524   GET   (name,          "F.name -> name of this kind of field")
 525   GET   (type,          "F.type -> type code of this kind of field")
 526 #undef GETSETNAME
 527   { 0 }
 528 };
 529
 530 static const PyMethodDef field_pymethods[] = {
 531 #define METHNAME(name) fmeth_##name
 532   METH  (_adopt,        "F._adopt(X) -> FE")
 533   KWMETH(rand,          "F.rand([rng = rand]) -> FE, uniformly distributed")
 534   SMTH  (parse,         "parse(STR) -> F, REST")
 535 #undef METHNAME
 536   { 0 }
 537 };
 538
 539 static PyTypeObject field_pytype_skel = {
 540   PyObject_HEAD_INIT(0) 0,              /* Header */
 541   "Field",                              /* @tp_name@ */
 542   sizeof(field_pyobj),                  /* @tp_basicsize@ */
 543   0,                                    /* @tp_itemsize@ */
 544
 545   field_pydealloc,                      /* @tp_dealloc@ */
 546   0,                                    /* @tp_print@ */
 547   0,                                    /* @tp_getattr@ */
 548   0,                                    /* @tp_setattr@ */
 549   0,                                    /* @tp_compare@ */
 550   0,                                    /* @tp_repr@ */
 551   0,                                    /* @tp_as_number@ */
 552   0,                                    /* @tp_as_sequence@ */
 553   0,                                    /* @tp_as_mapping@ */
 554   0,                                    /* @tp_hash@ */
 555   0,                                    /* @tp_call@ */
 556   0,                                    /* @tp_str@ */
 557   0,                                    /* @tp_getattro@ */
 558   0,                                    /* @tp_setattro@ */
 559   0,                                    /* @tp_as_buffer@ */
 560   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 561     Py_TPFLAGS_BASETYPE,
 562
 563   /* @tp_doc@ */
 564   "An abstract field.  This is an abstract type.",
 565
 566   0,                                    /* @tp_traverse@ */
 567   0,                                    /* @tp_clear@ */
 568   field_pyrichcompare,                  /* @tp_richcompare@ */
 569   0,                                    /* @tp_weaklistoffset@ */
 570   0,                                    /* @tp_iter@ */
 571   0,                                    /* @tp_iternext@ */
 572   PYMETHODS(field),                     /* @tp_methods@ */
 573   0,                                    /* @tp_members@ */
 574   PYGETSET(field),                      /* @tp_getset@ */
 575   0,                                    /* @tp_base@ */
 576   0,                                    /* @tp_dict@ */
 577   0,                                    /* @tp_descr_get@ */
 578   0,                                    /* @tp_descr_set@ */
 579   0,                                    /* @tp_dictoffset@ */
 580   0,                                    /* @tp_init@ */
 581   PyType_GenericAlloc,                  /* @tp_alloc@ */
 582   abstract_pynew,                       /* @tp_new@ */
 583   0,                                    /* @tp_free@ */
 584   0                                     /* @tp_is_gc@ */
 585 };
 586
 587 /*----- Prime fields ------------------------------------------------------*/
 588
 589 static PyObject *primefield_pynew(PyTypeObject *ty,
 590                                   PyObject *arg, PyObject *kw)
 591 {
 592   mp *xx = 0;
 593   field *f;
 594   static const char *const kwlist[] = { "p", 0 };
 595
 596   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:primefield", KWLIST,
 597                                    convmp, &xx))
 598     goto end;
 599   if ((f = field_prime(xx)) == 0)
 600     VALERR("bad prime for primefield");
 601   MP_DROP(xx);
 602   return (field_dopywrap(ty, f));
 603 end:
 604   mp_drop(xx);
 605   return (0);
 606 }
 607
 608 static PyObject *pfget_p(PyObject *me, void *hunoz)
 609   { return (mp_pywrap(MP_COPY(FIELD_F(me)->m))); }
 610
 611 static const PyGetSetDef primefield_pygetset[] = {
 612 #define GETSETNAME(op, name) pf##op##_##name
 613   GET   (p,             "F.p -> prime field characteristic")
 614 #undef GETSETNAME
 615 };
 616
 617 static PyTypeObject primefield_pytype_skel = {
 618   PyObject_HEAD_INIT(0) 0,              /* Header */
 619   "PrimeField",                         /* @tp_name@ */
 620   sizeof(field_pyobj),                  /* @tp_basicsize@ */
 621   0,                                    /* @tp_itemsize@ */
 622
 623   field_pydealloc,                      /* @tp_dealloc@ */
 624   0,                                    /* @tp_print@ */
 625   0,                                    /* @tp_getattr@ */
 626   0,                                    /* @tp_setattr@ */
 627   0,                                    /* @tp_compare@ */
 628   0,                                    /* @tp_repr@ */
 629   0,                                    /* @tp_as_number@ */
 630   0,                                    /* @tp_as_sequence@ */
 631   0,                                    /* @tp_as_mapping@ */
 632   0,                                    /* @tp_hash@ */
 633   0,                                    /* @tp_call@ */
 634   0,                                    /* @tp_str@ */
 635   0,                                    /* @tp_getattro@ */
 636   0,                                    /* @tp_setattro@ */
 637   0,                                    /* @tp_as_buffer@ */
 638   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 639     Py_TPFLAGS_BASETYPE,
 640
 641   /* @tp_doc@ */
 642   "PrimeField(P): prime fields.",
 643
 644   0,                                    /* @tp_traverse@ */
 645   0,                                    /* @tp_clear@ */
 646   field_pyrichcompare,                  /* @tp_richcompare@ */
 647   0,                                    /* @tp_weaklistoffset@ */
 648   0,                                    /* @tp_iter@ */
 649   0,                                    /* @tp_iternext@ */
 650   0,                                    /* @tp_methods@ */
 651   0,                                    /* @tp_members@ */
 652   PYGETSET(primefield),                 /* @tp_getset@ */
 653   0,                                    /* @tp_base@ */
 654   0,                                    /* @tp_dict@ */
 655   0,                                    /* @tp_descr_get@ */
 656   0,                                    /* @tp_descr_set@ */
 657   0,                                    /* @tp_dictoffset@ */
 658   0,                                    /* @tp_init@ */
 659   PyType_GenericAlloc,                  /* @tp_alloc@ */
 660   primefield_pynew,                     /* @tp_new@ */
 661   0,                                    /* @tp_free@ */
 662   0                                     /* @tp_is_gc@ */
 663 };
 664
 665 static PyObject *niceprimefield_pynew(PyTypeObject *ty,
 666                                       PyObject *arg, PyObject *kw)
 667 {
 668   mp *xx = 0;
 669   field *f;
 670   static const char *const kwlist[] = { "p", 0 };
 671
 672   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:niceprimefield",
 673                                    KWLIST, convmp, &xx))
 674     goto end;
 675   if ((f = field_niceprime(xx)) == 0)
 676     VALERR("bad prime for niceprimefield");
 677   MP_DROP(xx);
 678   return (field_dopywrap(ty, f));
 679 end:
 680   mp_drop(xx);
 681   return (0);
 682 }
 683
 684 static PyTypeObject niceprimefield_pytype_skel = {
 685   PyObject_HEAD_INIT(0) 0,              /* Header */
 686   "NicePrimeField",                     /* @tp_name@ */
 687   sizeof(field_pyobj),                  /* @tp_basicsize@ */
 688   0,                                    /* @tp_itemsize@ */
 689
 690   field_pydealloc,                      /* @tp_dealloc@ */
 691   0,                                    /* @tp_print@ */
 692   0,                                    /* @tp_getattr@ */
 693   0,                                    /* @tp_setattr@ */
 694   0,                                    /* @tp_compare@ */
 695   0,                                    /* @tp_repr@ */
 696   0,                                    /* @tp_as_number@ */
 697   0,                                    /* @tp_as_sequence@ */
 698   0,                                    /* @tp_as_mapping@ */
 699   0,                                    /* @tp_hash@ */
 700   0,                                    /* @tp_call@ */
 701   0,                                    /* @tp_str@ */
 702   0,                                    /* @tp_getattro@ */
 703   0,                                    /* @tp_setattro@ */
 704   0,                                    /* @tp_as_buffer@ */
 705   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 706     Py_TPFLAGS_BASETYPE,
 707
 708   /* @tp_doc@ */
 709   "NicePrimeField(P): prime field using Solinas reduction.",
 710
 711   0,                                    /* @tp_traverse@ */
 712   0,                                    /* @tp_clear@ */
 713   field_pyrichcompare,                  /* @tp_richcompare@ */
 714   0,                                    /* @tp_weaklistoffset@ */
 715   0,                                    /* @tp_iter@ */
 716   0,                                    /* @tp_iternext@ */
 717   0,                                    /* @tp_methods@ */
 718   0,                                    /* @tp_members@ */
 719   0,                                    /* @tp_getset@ */
 720   0,                                    /* @tp_base@ */
 721   0,                                    /* @tp_dict@ */
 722   0,                                    /* @tp_descr_get@ */
 723   0,                                    /* @tp_descr_set@ */
 724   0,                                    /* @tp_dictoffset@ */
 725   0,                                    /* @tp_init@ */
 726   PyType_GenericAlloc,                  /* @tp_alloc@ */
 727   niceprimefield_pynew,                 /* @tp_new@ */
 728   0,                                    /* @tp_free@ */
 729   0                                     /* @tp_is_gc@ */
 730 };
 731
 732 /*----- Binary fields -----------------------------------------------------*/
 733
 734 static PyObject *bfget_m(PyObject *me, void *hunoz)
 735   { return (PyInt_FromLong(FIELD_F(me)->nbits)); }
 736
 737 static PyObject *bfget_p(PyObject *me, void *hunoz)
 738   { return (gf_pywrap(MP_COPY(FIELD_F(me)->m))); }
 739
 740 static const PyGetSetDef binfield_pygetset[] = {
 741 #define GETSETNAME(op, name) bf##op##_##name
 742   GET   (m,             "F.m -> field polynomial degree")
 743   GET   (p,             "F.p -> field polynomial")
 744 #undef GETSETNAME
 745   { 0 }
 746 };
 747
 748 static PyTypeObject binfield_pytype_skel = {
 749   PyObject_HEAD_INIT(0) 0,              /* Header */
 750   "BinField",                           /* @tp_name@ */
 751   sizeof(field_pyobj),                  /* @tp_basicsize@ */
 752   0,                                    /* @tp_itemsize@ */
 753
 754   field_pydealloc,                      /* @tp_dealloc@ */
 755   0,                                    /* @tp_print@ */
 756   0,                                    /* @tp_getattr@ */
 757   0,                                    /* @tp_setattr@ */
 758   0,                                    /* @tp_compare@ */
 759   0,                                    /* @tp_repr@ */
 760   0,                                    /* @tp_as_number@ */
 761   0,                                    /* @tp_as_sequence@ */
 762   0,                                    /* @tp_as_mapping@ */
 763   0,                                    /* @tp_hash@ */
 764   0,                                    /* @tp_call@ */
 765   0,                                    /* @tp_str@ */
 766   0,                                    /* @tp_getattro@ */
 767   0,                                    /* @tp_setattro@ */
 768   0,                                    /* @tp_as_buffer@ */
 769   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 770     Py_TPFLAGS_BASETYPE,
 771
 772   /* @tp_doc@ */
 773   "Binary fields.  Abstract class.",
 774
 775   0,                                    /* @tp_traverse@ */
 776   0,                                    /* @tp_clear@ */
 777   field_pyrichcompare,                  /* @tp_richcompare@ */
 778   0,                                    /* @tp_weaklistoffset@ */
 779   0,                                    /* @tp_iter@ */
 780   0,                                    /* @tp_iternext@ */
 781   0,                                    /* @tp_methods@ */
 782   0,                                    /* @tp_members@ */
 783   PYGETSET(binfield),                   /* @tp_getset@ */
 784   0,                                    /* @tp_base@ */
 785   0,                                    /* @tp_dict@ */
 786   0,                                    /* @tp_descr_get@ */
 787   0,                                    /* @tp_descr_set@ */
 788   0,                                    /* @tp_dictoffset@ */
 789   0,                                    /* @tp_init@ */
 790   PyType_GenericAlloc,                  /* @tp_alloc@ */
 791   abstract_pynew,                       /* @tp_new@ */
 792   0,                                    /* @tp_free@ */
 793   0                                     /* @tp_is_gc@ */
 794 };
 795
 796 static PyObject *binpolyfield_pynew(PyTypeObject *ty,
 797                                     PyObject *arg, PyObject *kw)
 798 {
 799   mp *xx = 0;
 800   field *f;
 801   static const char *const kwlist[] = { "p", 0 };
 802
 803   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:binpolyfield", KWLIST,
 804                                    convgf, &xx))
 805     goto end;
 806   if ((f = field_binpoly(xx)) == 0) VALERR("bad poly for binpolyfield");
 807   MP_DROP(xx);
 808   return (field_dopywrap(ty, f));
 809 end:
 810   mp_drop(xx);
 811   return (0);
 812 }
 813
 814 static PyTypeObject binpolyfield_pytype_skel = {
 815   PyObject_HEAD_INIT(0) 0,              /* Header */
 816   "BinPolyField",                       /* @tp_name@ */
 817   sizeof(field_pyobj),                  /* @tp_basicsize@ */
 818   0,                                    /* @tp_itemsize@ */
 819
 820   field_pydealloc,                      /* @tp_dealloc@ */
 821   0,                                    /* @tp_print@ */
 822   0,                                    /* @tp_getattr@ */
 823   0,                                    /* @tp_setattr@ */
 824   0,                                    /* @tp_compare@ */
 825   0,                                    /* @tp_repr@ */
 826   0,                                    /* @tp_as_number@ */
 827   0,                                    /* @tp_as_sequence@ */
 828   0,                                    /* @tp_as_mapping@ */
 829   0,                                    /* @tp_hash@ */
 830   0,                                    /* @tp_call@ */
 831   0,                                    /* @tp_str@ */
 832   0,                                    /* @tp_getattro@ */
 833   0,                                    /* @tp_setattro@ */
 834   0,                                    /* @tp_as_buffer@ */
 835   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 836     Py_TPFLAGS_BASETYPE,
 837
 838   /* @tp_doc@ */
 839   "BinPolyField(P): binary fields with polynomial basis representation.",
 840
 841   0,                                    /* @tp_traverse@ */
 842   0,                                    /* @tp_clear@ */
 843   field_pyrichcompare,                  /* @tp_richcompare@ */
 844   0,                                    /* @tp_weaklistoffset@ */
 845   0,                                    /* @tp_iter@ */
 846   0,                                    /* @tp_iternext@ */
 847   0,                                    /* @tp_methods@ */
 848   0,                                    /* @tp_members@ */
 849   0,                                    /* @tp_getset@ */
 850   0,                                    /* @tp_base@ */
 851   0,                                    /* @tp_dict@ */
 852   0,                                    /* @tp_descr_get@ */
 853   0,                                    /* @tp_descr_set@ */
 854   0,                                    /* @tp_dictoffset@ */
 855   0,                                    /* @tp_init@ */
 856   PyType_GenericAlloc,                  /* @tp_alloc@ */
 857   binpolyfield_pynew,                   /* @tp_new@ */
 858   0,                                    /* @tp_free@ */
 859   0                                     /* @tp_is_gc@ */
 860 };
 861
 862 static PyObject *binnormfield_pynew(PyTypeObject *ty,
 863                                     PyObject *arg, PyObject *kw)
 864 {
 865   mp *xx = 0, *yy = 0;
 866   field *f;
 867   static const char *const kwlist[] = { "p", "beta", 0 };
 868
 869   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:binnormfield",
 870                                    KWLIST, convgf, &xx, convgf, &yy))
 871     goto end;
 872   if ((f = field_binnorm(xx, yy)) == 0) VALERR("bad args for binnormfield");
 873   MP_DROP(xx); MP_DROP(yy);
 874   return (field_dopywrap(ty, f));
 875 end:
 876   mp_drop(xx); mp_drop(yy);
 877   return (0);
 878 }
 879
 880 static PyObject *bnfget_beta(PyObject *me, void *hunoz)
 881 {
 882   fctx_binnorm *fc = (fctx_binnorm *)FIELD_F(me);
 883   return (gf_pywrap(MP_COPY(fc->ntop.r[fc->ntop.n - 1])));
 884 }
 885
 886 static const PyGetSetDef binnormfield_pygetset[] = {
 887 #define GETSETNAME(op, name) bnf##op##_##name
 888   GET   (beta,          "F.beta -> conversion factor")
 889 #undef GETSETNAME
 890   { 0 }
 891 };
 892
 893 static PyTypeObject binnormfield_pytype_skel = {
 894   PyObject_HEAD_INIT(0) 0,              /* Header */
 895   "BinNormField",                       /* @tp_name@ */
 896   sizeof(field_pyobj),                  /* @tp_basicsize@ */
 897   0,                                    /* @tp_itemsize@ */
 898
 899   field_pydealloc,                      /* @tp_dealloc@ */
 900   0,                                    /* @tp_print@ */
 901   0,                                    /* @tp_getattr@ */
 902   0,                                    /* @tp_setattr@ */
 903   0,                                    /* @tp_compare@ */
 904   0,                                    /* @tp_repr@ */
 905   0,                                    /* @tp_as_number@ */
 906   0,                                    /* @tp_as_sequence@ */
 907   0,                                    /* @tp_as_mapping@ */
 908   0,                                    /* @tp_hash@ */
 909   0,                                    /* @tp_call@ */
 910   0,                                    /* @tp_str@ */
 911   0,                                    /* @tp_getattro@ */
 912   0,                                    /* @tp_setattro@ */
 913   0,                                    /* @tp_as_buffer@ */
 914   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 915     Py_TPFLAGS_BASETYPE,
 916
 917   /* @tp_doc@ */
 918   "BinNormField(P, BETA): binary fields with normal basis representation.",
 919
 920   0,                                    /* @tp_traverse@ */
 921   0,                                    /* @tp_clear@ */
 922   field_pyrichcompare,                  /* @tp_richcompare@ */
 923   0,                                    /* @tp_weaklistoffset@ */
 924   0,                                    /* @tp_iter@ */
 925   0,                                    /* @tp_iternext@ */
 926   0,                                    /* @tp_methods@ */
 927   0,                                    /* @tp_members@ */
 928   PYGETSET(binnormfield),               /* @tp_getset@ */
 929   0,                                    /* @tp_base@ */
 930   0,                                    /* @tp_dict@ */
 931   0,                                    /* @tp_descr_get@ */
 932   0,                                    /* @tp_descr_set@ */
 933   0,                                    /* @tp_dictoffset@ */
 934   0,                                    /* @tp_init@ */
 935   PyType_GenericAlloc,                  /* @tp_alloc@ */
 936   binnormfield_pynew,                   /* @tp_new@ */
 937   0,                                    /* @tp_free@ */
 938   0                                     /* @tp_is_gc@ */
 939 };
 940
 941 /*----- Setup -------------------------------------------------------------*/
 942
 943 void field_pyinit(void)
 944 {
 945   INITTYPE(fe, root);
 946   INITTYPE(field, type);
 947   INITTYPE(primefield, field);
 948   INITTYPE(niceprimefield, primefield);
 949   INITTYPE(binfield, field);
 950   INITTYPE(binpolyfield, binfield);
 951   INITTYPE(binnormfield, binfield);
 952 }
 953
 954 void field_pyinsert(PyObject *mod)
 955 {
 956   INSERT("FE", fe_pytype);
 957   INSERT("Field", field_pytype);
 958   INSERT("PrimeField", primefield_pytype);
 959   INSERT("NicePrimeField", niceprimefield_pytype);
 960   INSERT("BinField", binfield_pytype);
 961   INSERT("BinPolyField", binpolyfield_pytype);
 962   INSERT("BinNormField", binnormfield_pytype);
 963 }
 964
 965 /*----- That's all, folks -------------------------------------------------*/