mdw@git.distorted.org.uk Git - 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 *implicitfe(field *f, PyObject *o)
 111 {
 112   mp *x;
 113
 114   if (FE_PYCHECK(o) && FE_F(o) == f) return (MP_COPY(FE_X(o)));
 115   switch (f->ops->ty) {
 116     case FTY_PRIME: x = implicitmp(o); break;
 117     case FTY_BINARY: x = implicitgf(o); break;
 118     default: assert(!"huh?");
 119   }
 120   if (!x) return (0);
 121   return (F_IN(f, MP_NEW, x));
 122 }
 123
 124 /*----- Field elements ----------------------------------------------------*/
 125
 126 static int febinop(PyObject *x, PyObject *y,
 127                    field **f, PyObject **fobj, mp **xx, mp **yy)
 128 {
 129   if (FE_PYCHECK(x)) *fobj = FE_FOBJ(x);
 130   else if (FE_PYCHECK(y)) *fobj = FE_FOBJ(y);
 131   else return (-1);
 132   *f = FIELD_F(*fobj);
 133   if ((*xx = implicitfe(*f, x)) == 0)
 134     return (-1);
 135   if ((*yy = implicitfe(*f, y)) == 0) {
 136     MP_DROP(*xx);
 137     return (-1);
 138   }
 139   return (0);
 140 }
 141
 142 #define BINOP(name)                                                     \
 143   static PyObject *fe_py##name(PyObject *x, PyObject *y) {              \
 144     PyObject *fobj;                                                     \
 145     field *ff;                                                          \
 146     mp *xx, *yy, *zz;                                                   \
 147     if (febinop(x, y, &ff, &fobj, &xx, &yy)) RETURN_NOTIMPL;            \
 148     zz = ff->ops->name(ff, MP_NEW, xx, yy);                             \
 149     MP_DROP(xx); MP_DROP(yy);                                           \
 150     return (fe_pywrap(fobj, zz));                                       \
 151   }
 152 BINOP(add)
 153 BINOP(sub)
 154 BINOP(mul)
 155 #undef BINOP
 156
 157 static PyObject *fe_pydiv(PyObject *x, PyObject *y)
 158 {
 159   PyObject *fobj;
 160   field *ff;
 161   mp *xx, *yy;
 162   PyObject *z = 0;
 163   if (febinop(x, y, &ff, &fobj, &xx, &yy)) RETURN_NOTIMPL;
 164   if (F_ZEROP(ff, yy)) ZDIVERR("division by zero");
 165   yy = F_INV(ff, yy, yy);
 166   z = fe_pywrap(fobj, F_MUL(ff, MP_NEW, xx, yy));
 167 end:
 168   MP_DROP(xx); MP_DROP(yy);
 169   return (z);
 170 }
 171
 172 static PyObject *fe_pyexp(PyObject *x, PyObject *y, PyObject *z)
 173 {
 174   field *ff;
 175   mp *xx, *yy;
 176
 177   if (z != Py_None || !FE_PYCHECK(x) || (yy = tomp(y)) == 0)
 178     RETURN_NOTIMPL;
 179   ff = FE_F(x); xx = FE_X(x); MP_COPY(xx);
 180   if (MP_NEGP(yy) && F_ZEROP(ff, xx)) ZDIVERR("division by zero");
 181   z = fe_pywrap(FE_FOBJ(x), field_exp(ff, MP_NEW, xx, yy));
 182 end:
 183   MP_DROP(xx); MP_DROP(yy);
 184   return (z);
 185 }
 186
 187 static PyObject *fe_pyneg(PyObject *x)
 188 {
 189   return fe_pywrap(FE_FOBJ(x), FE_F(x)->ops->neg(FE_F(x), MP_NEW, FE_X(x)));
 190 }
 191
 192 static PyObject *fe_pyid(PyObject *x) { RETURN_OBJ(x); }
 193
 194 static int fe_pynonzerop(PyObject *x) { return !F_ZEROP(FE_F(x), FE_X(x)); }
 195
 196 static PyObject *fe_pyrichcompare(PyObject *x, PyObject *y, int op)
 197 {
 198   PyObject *fobj;
 199   field *ff;
 200   mp *xx, *yy;
 201   int b;
 202   PyObject *rc = 0;
 203
 204   if (febinop(x, y, &ff, &fobj, &xx, &yy)) RETURN_NOTIMPL;
 205   switch (op) {
 206     case Py_EQ: b = MP_EQ(xx, yy); break;
 207     case Py_NE: b = !MP_EQ(xx, yy); break;
 208     default: TYERR("field elements are unordered");
 209   }
 210   rc = getbool(b);
 211 end:
 212   MP_DROP(xx); MP_DROP(yy);
 213   return (rc);
 214 }
 215
 216 static Py_hash_t fe_pyhash(PyObject *me)
 217   { return (mphash(FE_X(me))); }
 218
 219 #ifdef PY2
 220 static int fe_pycoerce(PyObject **x, PyObject **y)
 221 {
 222   mp *z;
 223
 224   if (FE_PYCHECK(*y)) {
 225     if (FE_F(*x) != FE_F(*y) && !field_samep(FE_F(*x), FE_F(*y)))
 226       TYERR("field mismatch");
 227     Py_INCREF(*x); Py_INCREF(*y);
 228     return (0);
 229   }
 230   if ((z = implicitfe(FE_F(*x), *y)) != 0) {
 231     Py_INCREF(*x);
 232     *y = fe_pywrap(FE_FOBJ(*x), z);
 233     return (0);
 234   }
 235   return (1);
 236
 237 end:
 238   return (-1);
 239 }
 240 #endif
 241
 242 static PyObject *fe_pyint(PyObject *x)
 243 {
 244   long l;
 245   PyObject *rc;
 246   mp *xx = F_OUT(FE_F(x), MP_NEW, FE_X(x));
 247   if (!mp_tolong_checked(xx, &l, 0)) rc = PyInt_FromLong(l);
 248   else rc = mp_topylong(xx);
 249   MP_DROP(xx);
 250   return (rc);
 251 }
 252
 253 #ifdef PY2
 254 static PyObject *fe_pylong(PyObject *x)
 255 {
 256   mp *xx = F_OUT(FE_F(x), MP_NEW, FE_X(x));
 257   PyObject *rc = mp_topylong(xx);
 258   MP_DROP(xx);
 259   return (rc);
 260 }
 261 #endif
 262
 263 #define BASEOP(name, radix, pre)                                        \
 264   static PyObject *fe_py##name(PyObject *x) {                           \
 265     mp *xx = F_OUT(FE_F(x), MP_NEW, FE_X(x));                           \
 266     PyObject *rc = mp_topystring(xx, radix, 0, pre, 0);                 \
 267     MP_DROP(xx);                                                        \
 268     return (rc);                                                        \
 269   }
 270 #ifdef PY2
 271 BASEOP(oct, 8, "0");
 272 #endif
 273 BASEOP(hex, 16, "0x");
 274 #undef BASEOP
 275
 276 static void fe_pydealloc(PyObject *me)
 277 {
 278   Py_DECREF(FE_FOBJ(me));
 279   MP_DROP(FE_X(me));
 280   FREEOBJ(me);
 281 }
 282
 283 #define UNOP(name, check)                                               \
 284   static PyObject *femeth_##name(PyObject *me) {                        \
 285     field *f = FE_F(me);                                                \
 286     mp *x = FE_X(me);                                                   \
 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_value(PyObject *me, void *hunoz)
 306 {
 307   mp *x = F_OUT(FE_F(me), MP_NEW, FE_X(me));
 308   if (F_TYPE(FE_F(me)) == FTY_BINARY)
 309     return (gf_pywrap(x));
 310   else
 311     return (mp_pywrap(x));
 312 }
 313
 314 static PyObject *feget__value(PyObject *me, void *hunoz)
 315 {
 316   mp *x = FE_X(me);
 317   MP_COPY(x);
 318   if (F_TYPE(FE_F(me)) == FTY_BINARY)
 319     return (gf_pywrap(x));
 320   else
 321     return (mp_pywrap(x));
 322 }
 323
 324 static const PyMemberDef fe_pymembers[] = {
 325 #define MEMBERSTRUCT fe_pyobj
 326   MEMRNM(field, T_OBJECT, PY23(ob_type, ob_base.ob_type), READONLY,
 327                         "X.field -> field containing X")
 328 #undef MEMBERSTRUCT
 329   { 0 }
 330 };
 331
 332 static const PyGetSetDef fe_pygetset[] = {
 333 #define GETSETNAME(op, name) fe##op##_##name
 334   GET   (value,         "X.value -> `natural' MP/GF representation of X")
 335   GET   (_value,        "X._value -> internal MP/GF representation of X")
 336 #undef GETSETNAME
 337   { 0 }
 338 };
 339
 340 static const PyMethodDef fe_pymethods[] = {
 341 #define METHNAME(func) femeth_##func
 342   NAMETH(inv,           "X.inv() -> X^{-1}")
 343   NAMETH(sqr,           "X.sqr() -> X^2")
 344   NAMETH(sqrt,          "X.sqrt() -> sqrt(X)")
 345   NAMETH(quadsolve,     "X.quadsolve() -> Y where Y^2 + Y = X (binary only)")
 346   NAMETH(dbl,           "X.dbl() -> 2 * X (prime only)")
 347   NAMETH(tpl,           "X.tpl() -> 3 * X (prime only)")
 348   NAMETH(qdl,           "X.qdl() -> 4 * X (prime only)")
 349   NAMETH(hlv,           "X.hlv() -> X/2 (prime only)")
 350 #undef METHNAME
 351   { 0 }
 352 };
 353
 354 static const PyNumberMethods fe_pynumber = {
 355   fe_pyadd,                             /* @nb_add@ */
 356   fe_pysub,                             /* @nb_subtract@ */
 357   fe_pymul,                             /* @nb_multiply@ */
 358 #ifdef PY2
 359   fe_pydiv,                             /* @nb_divide@ */
 360 #endif
 361   0,                                    /* @nb_remainder@ */
 362   0,                                    /* @nb_divmod@ */
 363   fe_pyexp,                             /* @nb_power@ */
 364   fe_pyneg,                             /* @nb_negative@ */
 365   fe_pyid,                              /* @nb_positive@ */
 366   0,                                    /* @nb_absolute@ */
 367   fe_pynonzerop,                        /* @nb_nonzero@ */
 368   0,                                    /* @nb_invert@ */
 369   0,                                    /* @nb_lshift@ */
 370   0,                                    /* @nb_rshift@ */
 371   0,                                    /* @nb_and@ */
 372   0,                                    /* @nb_xor@ */
 373   0,                                    /* @nb_or@ */
 374 #ifdef PY2
 375   fe_pycoerce,                          /* @nb_coerce@ */
 376 #endif
 377   fe_pyint,                             /* @nb_int@ */
 378   PY23(fe_pylong, 0),                   /* @nb_long@ */
 379   0 /* meaningless */,                  /* @nb_float@ */
 380 #ifdef PY2
 381   fe_pyoct,                             /* @nb_oct@ */
 382   fe_pyhex,                             /* @nb_hex@ */
 383 #endif
 384
 385   0,                                    /* @nb_inplace_add@ */
 386   0,                                    /* @nb_inplace_subtract@ */
 387   0,                                    /* @nb_inplace_multiply@ */
 388 #ifdef PY2
 389   0,                                    /* @nb_inplace_divide@ */
 390 #endif
 391   0,                                    /* @nb_inplace_remainder@ */
 392   0,                                    /* @nb_inplace_power@ */
 393   0,                                    /* @nb_inplace_lshift@ */
 394   0,                                    /* @nb_inplace_rshift@ */
 395   0,                                    /* @nb_inplace_and@ */
 396   0,                                    /* @nb_inplace_xor@ */
 397   0,                                    /* @nb_inplace_or@ */
 398
 399   0,                                    /* @nb_floor_divide@ */
 400   fe_pydiv,                             /* @nb_true_divide@ */
 401   0,                                    /* @nb_inplace_floor_divide@ */
 402   0,                                    /* @nb_inplace_true_divide@ */
 403
 404   fe_pyint,                             /* @nb_index@ */
 405 };
 406
 407 static const PyTypeObject fe_pytype_skel = {
 408   PyVarObject_HEAD_INIT(0, 0)           /* Header */
 409   "FE",                                 /* @tp_name@ */
 410   sizeof(fe_pyobj),                     /* @tp_basicsize@ */
 411   0,                                    /* @tp_itemsize@ */
 412
 413   fe_pydealloc,                         /* @tp_dealloc@ */
 414   0,                                    /* @tp_print@ */
 415   0,                                    /* @tp_getattr@ */
 416   0,                                    /* @tp_setattr@ */
 417   0,                                    /* @tp_compare@ */
 418   0,                                    /* @tp_repr@ */
 419   PYNUMBER(fe),                         /* @tp_as_number@ */
 420   0,                                    /* @tp_as_sequence@ */
 421   0,                                    /* @tp_as_mapping@ */
 422   fe_pyhash,                            /* @tp_hash@ */
 423   0,                                    /* @tp_call@ */
 424   fe_pyhex,                             /* @tp_str@ */
 425   0,                                    /* @tp_getattro@ */
 426   0,                                    /* @tp_setattro@ */
 427   0,                                    /* @tp_as_buffer@ */
 428   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 429     Py_TPFLAGS_CHECKTYPES |
 430     Py_TPFLAGS_BASETYPE,
 431
 432   /* @tp_doc@ */
 433   "Finite field elements, abstract base class.",
 434
 435   0,                                    /* @tp_traverse@ */
 436   0,                                    /* @tp_clear@ */
 437   fe_pyrichcompare,                     /* @tp_richcompare@ */
 438   0,                                    /* @tp_weaklistoffset@ */
 439   0,                                    /* @tp_iter@ */
 440   0,                                    /* @tp_iternext@ */
 441   PYMETHODS(fe),                        /* @tp_methods@ */
 442   PYMEMBERS(fe),                        /* @tp_members@ */
 443   PYGETSET(fe),                         /* @tp_getset@ */
 444   0,                                    /* @tp_base@ */
 445   0,                                    /* @tp_dict@ */
 446   0,                                    /* @tp_descr_get@ */
 447   0,                                    /* @tp_descr_set@ */
 448   0,                                    /* @tp_dictoffset@ */
 449   0,                                    /* @tp_init@ */
 450   PyType_GenericAlloc,                  /* @tp_alloc@ */
 451   abstract_pynew,                       /* @tp_new@ */
 452   0,                                    /* @tp_free@ */
 453   0                                     /* @tp_is_gc@ */
 454 };
 455
 456 /*----- Fields ------------------------------------------------------------*/
 457
 458 static PyObject *field_pyrichcompare(PyObject *x, PyObject *y, int op)
 459 {
 460   int b = field_samep(FIELD_F(x), FIELD_F(y));
 461   switch (op) {
 462     case Py_EQ: break;
 463     case Py_NE: b = !b;
 464     default: TYERR("can't order fields");
 465   }
 466   return (getbool(b));
 467 end:
 468   return (0);
 469 }
 470
 471 static PyObject *fmeth_rand(PyObject *me, PyObject *arg, PyObject *kw)
 472 {
 473   static const char *const kwlist[] = { "rng", 0 };
 474   grand *r = &rand_global;
 475
 476   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&:rand", KWLIST,
 477                                    convgrand, &r))
 478     return (0);
 479   return (fe_pywrap(me, F_RAND(FIELD_F(me), MP_NEW, r)));
 480 }
 481
 482 static PyObject *fmeth__adopt(PyObject *me, PyObject *arg)
 483 {
 484   mp *xx;
 485   if (!PyArg_ParseTuple(arg, "O&:_adopt", convmp, &xx)) return (0);
 486   return (fe_pywrap(me, xx));
 487 }
 488
 489 static PyObject *fmeth_parse(PyObject *me, PyObject *arg)
 490 {
 491   field *f;
 492   char *p;
 493   PyObject *rc = 0;
 494   qd_parse qd;
 495
 496   if (!PyArg_ParseTuple(arg, "s:parse", &p)) goto end;
 497   qd.p = p; qd.e = 0;
 498   if ((f = field_parse(&qd)) == 0) VALERR(qd.e);
 499   rc = Py_BuildValue("(Ns)", field_pywrap(f), qd.p);
 500 end:
 501   return (rc);
 502 }
 503
 504 static void field_pydealloc(PyObject *me)
 505 {
 506   F_DESTROY(FIELD_F(me));
 507   PyType_Type.tp_dealloc(me);
 508 }
 509
 510 static PyObject *fget_zero(PyObject *me, void *hunoz)
 511   { return (fe_pywrap(me, MP_COPY(FIELD_F(me)->zero))); }
 512
 513 static PyObject *fget_one(PyObject *me, void *hunoz)
 514   { return (fe_pywrap(me, MP_COPY(FIELD_F(me)->one))); }
 515
 516 static PyObject *fget_q(PyObject *me, void *hunoz)
 517   { return (mp_pywrap(MP_COPY(FIELD_F(me)->q))); }
 518
 519 static PyObject *fget_nbits(PyObject *me, void *hunoz)
 520   { return (PyInt_FromLong(FIELD_F(me)->nbits)); }
 521
 522 static PyObject *fget_noctets(PyObject *me, void *hunoz)
 523   { return (PyInt_FromLong(FIELD_F(me)->noctets)); }
 524
 525 static PyObject *fget_name(PyObject *me, void *hunoz)
 526   { return (TEXT_FROMSTR(F_NAME(FIELD_F(me)))); }
 527
 528 static PyObject *fget_type(PyObject *me, void *hunoz)
 529   { return (PyInt_FromLong(F_TYPE(FIELD_F(me)))); }
 530
 531 static const PyGetSetDef field_pygetset[] = {
 532 #define GETSETNAME(op, name) f##op##_##name
 533   GET   (zero,          "F.zero -> field additive identity")
 534   GET   (one,           "F.one -> field multiplicative identity")
 535   GET   (q,             "F.q -> number of elements in field")
 536   GET   (nbits,         "F.nbits -> bits needed to represent element")
 537   GET   (noctets,       "F.noctets -> octetss needed to represent element")
 538   GET   (name,          "F.name -> name of this kind of field")
 539   GET   (type,          "F.type -> type code of this kind of field")
 540 #undef GETSETNAME
 541   { 0 }
 542 };
 543
 544 static const PyMethodDef field_pymethods[] = {
 545 #define METHNAME(name) fmeth_##name
 546   METH  (_adopt,        "F._adopt(X) -> FE")
 547   KWMETH(rand,          "F.rand([rng = rand]) -> FE, uniformly distributed")
 548   SMTH  (parse,         "parse(STR) -> F, REST")
 549 #undef METHNAME
 550   { 0 }
 551 };
 552
 553 static const PyTypeObject field_pytype_skel = {
 554   PyVarObject_HEAD_INIT(0, 0)           /* Header */
 555   "Field",                              /* @tp_name@ */
 556   sizeof(field_pyobj),                  /* @tp_basicsize@ */
 557   0,                                    /* @tp_itemsize@ */
 558
 559   field_pydealloc,                      /* @tp_dealloc@ */
 560   0,                                    /* @tp_print@ */
 561   0,                                    /* @tp_getattr@ */
 562   0,                                    /* @tp_setattr@ */
 563   0,                                    /* @tp_compare@ */
 564   0,                                    /* @tp_repr@ */
 565   0,                                    /* @tp_as_number@ */
 566   0,                                    /* @tp_as_sequence@ */
 567   0,                                    /* @tp_as_mapping@ */
 568   0,                                    /* @tp_hash@ */
 569   0,                                    /* @tp_call@ */
 570   0,                                    /* @tp_str@ */
 571   0,                                    /* @tp_getattro@ */
 572   0,                                    /* @tp_setattro@ */
 573   0,                                    /* @tp_as_buffer@ */
 574   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 575     Py_TPFLAGS_BASETYPE,
 576
 577   /* @tp_doc@ */
 578   "An abstract field.  This is an abstract type.",
 579
 580   0,                                    /* @tp_traverse@ */
 581   0,                                    /* @tp_clear@ */
 582   field_pyrichcompare,                  /* @tp_richcompare@ */
 583   0,                                    /* @tp_weaklistoffset@ */
 584   0,                                    /* @tp_iter@ */
 585   0,                                    /* @tp_iternext@ */
 586   PYMETHODS(field),                     /* @tp_methods@ */
 587   0,                                    /* @tp_members@ */
 588   PYGETSET(field),                      /* @tp_getset@ */
 589   0,                                    /* @tp_base@ */
 590   0,                                    /* @tp_dict@ */
 591   0,                                    /* @tp_descr_get@ */
 592   0,                                    /* @tp_descr_set@ */
 593   0,                                    /* @tp_dictoffset@ */
 594   0,                                    /* @tp_init@ */
 595   PyType_GenericAlloc,                  /* @tp_alloc@ */
 596   abstract_pynew,                       /* @tp_new@ */
 597   0,                                    /* @tp_free@ */
 598   0                                     /* @tp_is_gc@ */
 599 };
 600
 601 /*----- Prime fields ------------------------------------------------------*/
 602
 603 static PyObject *primefield_pynew(PyTypeObject *ty,
 604                                   PyObject *arg, PyObject *kw)
 605 {
 606   mp *xx = 0;
 607   field *f;
 608   static const char *const kwlist[] = { "p", 0 };
 609
 610   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:primefield", KWLIST,
 611                                    convmp, &xx))
 612     goto end;
 613   if ((f = field_prime(xx)) == 0)
 614     VALERR("bad prime for primefield");
 615   MP_DROP(xx);
 616   return (field_dopywrap(ty, f));
 617 end:
 618   mp_drop(xx);
 619   return (0);
 620 }
 621
 622 static PyObject *pfget_p(PyObject *me, void *hunoz)
 623   { return (mp_pywrap(MP_COPY(FIELD_F(me)->m))); }
 624
 625 static const PyGetSetDef primefield_pygetset[] = {
 626 #define GETSETNAME(op, name) pf##op##_##name
 627   GET   (p,             "F.p -> prime field characteristic")
 628 #undef GETSETNAME
 629 };
 630
 631 static const PyTypeObject primefield_pytype_skel = {
 632   PyVarObject_HEAD_INIT(0, 0)           /* Header */
 633   "PrimeField",                         /* @tp_name@ */
 634   sizeof(field_pyobj),                  /* @tp_basicsize@ */
 635   0,                                    /* @tp_itemsize@ */
 636
 637   field_pydealloc,                      /* @tp_dealloc@ */
 638   0,                                    /* @tp_print@ */
 639   0,                                    /* @tp_getattr@ */
 640   0,                                    /* @tp_setattr@ */
 641   0,                                    /* @tp_compare@ */
 642   0,                                    /* @tp_repr@ */
 643   0,                                    /* @tp_as_number@ */
 644   0,                                    /* @tp_as_sequence@ */
 645   0,                                    /* @tp_as_mapping@ */
 646   0,                                    /* @tp_hash@ */
 647   0,                                    /* @tp_call@ */
 648   0,                                    /* @tp_str@ */
 649   0,                                    /* @tp_getattro@ */
 650   0,                                    /* @tp_setattro@ */
 651   0,                                    /* @tp_as_buffer@ */
 652   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 653     Py_TPFLAGS_BASETYPE,
 654
 655   /* @tp_doc@ */
 656   "PrimeField(P): prime fields.",
 657
 658   0,                                    /* @tp_traverse@ */
 659   0,                                    /* @tp_clear@ */
 660   0,                                    /* @tp_richcompare@ */
 661   0,                                    /* @tp_weaklistoffset@ */
 662   0,                                    /* @tp_iter@ */
 663   0,                                    /* @tp_iternext@ */
 664   0,                                    /* @tp_methods@ */
 665   0,                                    /* @tp_members@ */
 666   PYGETSET(primefield),                 /* @tp_getset@ */
 667   0,                                    /* @tp_base@ */
 668   0,                                    /* @tp_dict@ */
 669   0,                                    /* @tp_descr_get@ */
 670   0,                                    /* @tp_descr_set@ */
 671   0,                                    /* @tp_dictoffset@ */
 672   0,                                    /* @tp_init@ */
 673   PyType_GenericAlloc,                  /* @tp_alloc@ */
 674   primefield_pynew,                     /* @tp_new@ */
 675   0,                                    /* @tp_free@ */
 676   0                                     /* @tp_is_gc@ */
 677 };
 678
 679 static PyObject *niceprimefield_pynew(PyTypeObject *ty,
 680                                       PyObject *arg, PyObject *kw)
 681 {
 682   mp *xx = 0;
 683   field *f;
 684   static const char *const kwlist[] = { "p", 0 };
 685
 686   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:niceprimefield",
 687                                    KWLIST, convmp, &xx))
 688     goto end;
 689   if ((f = field_niceprime(xx)) == 0)
 690     VALERR("bad prime for niceprimefield");
 691   MP_DROP(xx);
 692   return (field_dopywrap(ty, f));
 693 end:
 694   mp_drop(xx);
 695   return (0);
 696 }
 697
 698 static const PyTypeObject niceprimefield_pytype_skel = {
 699   PyVarObject_HEAD_INIT(0, 0)           /* Header */
 700   "NicePrimeField",                     /* @tp_name@ */
 701   sizeof(field_pyobj),                  /* @tp_basicsize@ */
 702   0,                                    /* @tp_itemsize@ */
 703
 704   field_pydealloc,                      /* @tp_dealloc@ */
 705   0,                                    /* @tp_print@ */
 706   0,                                    /* @tp_getattr@ */
 707   0,                                    /* @tp_setattr@ */
 708   0,                                    /* @tp_compare@ */
 709   0,                                    /* @tp_repr@ */
 710   0,                                    /* @tp_as_number@ */
 711   0,                                    /* @tp_as_sequence@ */
 712   0,                                    /* @tp_as_mapping@ */
 713   0,                                    /* @tp_hash@ */
 714   0,                                    /* @tp_call@ */
 715   0,                                    /* @tp_str@ */
 716   0,                                    /* @tp_getattro@ */
 717   0,                                    /* @tp_setattro@ */
 718   0,                                    /* @tp_as_buffer@ */
 719   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 720     Py_TPFLAGS_BASETYPE,
 721
 722   /* @tp_doc@ */
 723   "NicePrimeField(P): prime field using Solinas reduction.",
 724
 725   0,                                    /* @tp_traverse@ */
 726   0,                                    /* @tp_clear@ */
 727   0,                                    /* @tp_richcompare@ */
 728   0,                                    /* @tp_weaklistoffset@ */
 729   0,                                    /* @tp_iter@ */
 730   0,                                    /* @tp_iternext@ */
 731   0,                                    /* @tp_methods@ */
 732   0,                                    /* @tp_members@ */
 733   0,                                    /* @tp_getset@ */
 734   0,                                    /* @tp_base@ */
 735   0,                                    /* @tp_dict@ */
 736   0,                                    /* @tp_descr_get@ */
 737   0,                                    /* @tp_descr_set@ */
 738   0,                                    /* @tp_dictoffset@ */
 739   0,                                    /* @tp_init@ */
 740   PyType_GenericAlloc,                  /* @tp_alloc@ */
 741   niceprimefield_pynew,                 /* @tp_new@ */
 742   0,                                    /* @tp_free@ */
 743   0                                     /* @tp_is_gc@ */
 744 };
 745
 746 /*----- Binary fields -----------------------------------------------------*/
 747
 748 static PyObject *bfget_m(PyObject *me, void *hunoz)
 749   { return (PyInt_FromLong(FIELD_F(me)->nbits)); }
 750
 751 static PyObject *bfget_p(PyObject *me, void *hunoz)
 752   { return (gf_pywrap(MP_COPY(FIELD_F(me)->m))); }
 753
 754 static const PyGetSetDef binfield_pygetset[] = {
 755 #define GETSETNAME(op, name) bf##op##_##name
 756   GET   (m,             "F.m -> field polynomial degree")
 757   GET   (p,             "F.p -> field polynomial")
 758 #undef GETSETNAME
 759   { 0 }
 760 };
 761
 762 static const PyTypeObject binfield_pytype_skel = {
 763   PyVarObject_HEAD_INIT(0, 0)           /* Header */
 764   "BinField",                           /* @tp_name@ */
 765   sizeof(field_pyobj),                  /* @tp_basicsize@ */
 766   0,                                    /* @tp_itemsize@ */
 767
 768   field_pydealloc,                      /* @tp_dealloc@ */
 769   0,                                    /* @tp_print@ */
 770   0,                                    /* @tp_getattr@ */
 771   0,                                    /* @tp_setattr@ */
 772   0,                                    /* @tp_compare@ */
 773   0,                                    /* @tp_repr@ */
 774   0,                                    /* @tp_as_number@ */
 775   0,                                    /* @tp_as_sequence@ */
 776   0,                                    /* @tp_as_mapping@ */
 777   0,                                    /* @tp_hash@ */
 778   0,                                    /* @tp_call@ */
 779   0,                                    /* @tp_str@ */
 780   0,                                    /* @tp_getattro@ */
 781   0,                                    /* @tp_setattro@ */
 782   0,                                    /* @tp_as_buffer@ */
 783   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 784     Py_TPFLAGS_BASETYPE,
 785
 786   /* @tp_doc@ */
 787   "Binary fields.  Abstract class.",
 788
 789   0,                                    /* @tp_traverse@ */
 790   0,                                    /* @tp_clear@ */
 791   0,                                    /* @tp_richcompare@ */
 792   0,                                    /* @tp_weaklistoffset@ */
 793   0,                                    /* @tp_iter@ */
 794   0,                                    /* @tp_iternext@ */
 795   0,                                    /* @tp_methods@ */
 796   0,                                    /* @tp_members@ */
 797   PYGETSET(binfield),                   /* @tp_getset@ */
 798   0,                                    /* @tp_base@ */
 799   0,                                    /* @tp_dict@ */
 800   0,                                    /* @tp_descr_get@ */
 801   0,                                    /* @tp_descr_set@ */
 802   0,                                    /* @tp_dictoffset@ */
 803   0,                                    /* @tp_init@ */
 804   PyType_GenericAlloc,                  /* @tp_alloc@ */
 805   abstract_pynew,                       /* @tp_new@ */
 806   0,                                    /* @tp_free@ */
 807   0                                     /* @tp_is_gc@ */
 808 };
 809
 810 static PyObject *binpolyfield_pynew(PyTypeObject *ty,
 811                                     PyObject *arg, PyObject *kw)
 812 {
 813   mp *xx = 0;
 814   field *f;
 815   static const char *const kwlist[] = { "p", 0 };
 816
 817   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:binpolyfield", KWLIST,
 818                                    convgf, &xx))
 819     goto end;
 820   if ((f = field_binpoly(xx)) == 0) VALERR("bad poly for binpolyfield");
 821   MP_DROP(xx);
 822   return (field_dopywrap(ty, f));
 823 end:
 824   mp_drop(xx);
 825   return (0);
 826 }
 827
 828 static const PyTypeObject binpolyfield_pytype_skel = {
 829   PyVarObject_HEAD_INIT(0, 0)           /* Header */
 830   "BinPolyField",                       /* @tp_name@ */
 831   sizeof(field_pyobj),                  /* @tp_basicsize@ */
 832   0,                                    /* @tp_itemsize@ */
 833
 834   field_pydealloc,                      /* @tp_dealloc@ */
 835   0,                                    /* @tp_print@ */
 836   0,                                    /* @tp_getattr@ */
 837   0,                                    /* @tp_setattr@ */
 838   0,                                    /* @tp_compare@ */
 839   0,                                    /* @tp_repr@ */
 840   0,                                    /* @tp_as_number@ */
 841   0,                                    /* @tp_as_sequence@ */
 842   0,                                    /* @tp_as_mapping@ */
 843   0,                                    /* @tp_hash@ */
 844   0,                                    /* @tp_call@ */
 845   0,                                    /* @tp_str@ */
 846   0,                                    /* @tp_getattro@ */
 847   0,                                    /* @tp_setattro@ */
 848   0,                                    /* @tp_as_buffer@ */
 849   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 850     Py_TPFLAGS_BASETYPE,
 851
 852   /* @tp_doc@ */
 853   "BinPolyField(P): binary fields with polynomial basis representation.",
 854
 855   0,                                    /* @tp_traverse@ */
 856   0,                                    /* @tp_clear@ */
 857   0,                                    /* @tp_richcompare@ */
 858   0,                                    /* @tp_weaklistoffset@ */
 859   0,                                    /* @tp_iter@ */
 860   0,                                    /* @tp_iternext@ */
 861   0,                                    /* @tp_methods@ */
 862   0,                                    /* @tp_members@ */
 863   0,                                    /* @tp_getset@ */
 864   0,                                    /* @tp_base@ */
 865   0,                                    /* @tp_dict@ */
 866   0,                                    /* @tp_descr_get@ */
 867   0,                                    /* @tp_descr_set@ */
 868   0,                                    /* @tp_dictoffset@ */
 869   0,                                    /* @tp_init@ */
 870   PyType_GenericAlloc,                  /* @tp_alloc@ */
 871   binpolyfield_pynew,                   /* @tp_new@ */
 872   0,                                    /* @tp_free@ */
 873   0                                     /* @tp_is_gc@ */
 874 };
 875
 876 static PyObject *binnormfield_pynew(PyTypeObject *ty,
 877                                     PyObject *arg, PyObject *kw)
 878 {
 879   mp *xx = 0, *yy = 0;
 880   field *f;
 881   static const char *const kwlist[] = { "p", "beta", 0 };
 882
 883   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:binnormfield",
 884                                    KWLIST, convgf, &xx, convgf, &yy))
 885     goto end;
 886   if ((f = field_binnorm(xx, yy)) == 0) VALERR("bad args for binnormfield");
 887   MP_DROP(xx); MP_DROP(yy);
 888   return (field_dopywrap(ty, f));
 889 end:
 890   mp_drop(xx); mp_drop(yy);
 891   return (0);
 892 }
 893
 894 static PyObject *bnfget_beta(PyObject *me, void *hunoz)
 895 {
 896   fctx_binnorm *fc = (fctx_binnorm *)FIELD_F(me);
 897   return (gf_pywrap(MP_COPY(fc->ntop.r[fc->ntop.n - 1])));
 898 }
 899
 900 static const PyGetSetDef binnormfield_pygetset[] = {
 901 #define GETSETNAME(op, name) bnf##op##_##name
 902   GET   (beta,          "F.beta -> conversion factor")
 903 #undef GETSETNAME
 904   { 0 }
 905 };
 906
 907 static const PyTypeObject binnormfield_pytype_skel = {
 908   PyVarObject_HEAD_INIT(0, 0)           /* Header */
 909   "BinNormField",                       /* @tp_name@ */
 910   sizeof(field_pyobj),                  /* @tp_basicsize@ */
 911   0,                                    /* @tp_itemsize@ */
 912
 913   field_pydealloc,                      /* @tp_dealloc@ */
 914   0,                                    /* @tp_print@ */
 915   0,                                    /* @tp_getattr@ */
 916   0,                                    /* @tp_setattr@ */
 917   0,                                    /* @tp_compare@ */
 918   0,                                    /* @tp_repr@ */
 919   0,                                    /* @tp_as_number@ */
 920   0,                                    /* @tp_as_sequence@ */
 921   0,                                    /* @tp_as_mapping@ */
 922   0,                                    /* @tp_hash@ */
 923   0,                                    /* @tp_call@ */
 924   0,                                    /* @tp_str@ */
 925   0,                                    /* @tp_getattro@ */
 926   0,                                    /* @tp_setattro@ */
 927   0,                                    /* @tp_as_buffer@ */
 928   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 929     Py_TPFLAGS_BASETYPE,
 930
 931   /* @tp_doc@ */
 932   "BinNormField(P, BETA): binary fields with normal basis representation.",
 933
 934   0,                                    /* @tp_traverse@ */
 935   0,                                    /* @tp_clear@ */
 936   0,                                    /* @tp_richcompare@ */
 937   0,                                    /* @tp_weaklistoffset@ */
 938   0,                                    /* @tp_iter@ */
 939   0,                                    /* @tp_iternext@ */
 940   0,                                    /* @tp_methods@ */
 941   0,                                    /* @tp_members@ */
 942   PYGETSET(binnormfield),               /* @tp_getset@ */
 943   0,                                    /* @tp_base@ */
 944   0,                                    /* @tp_dict@ */
 945   0,                                    /* @tp_descr_get@ */
 946   0,                                    /* @tp_descr_set@ */
 947   0,                                    /* @tp_dictoffset@ */
 948   0,                                    /* @tp_init@ */
 949   PyType_GenericAlloc,                  /* @tp_alloc@ */
 950   binnormfield_pynew,                   /* @tp_new@ */
 951   0,                                    /* @tp_free@ */
 952   0                                     /* @tp_is_gc@ */
 953 };
 954
 955 /*----- Setup -------------------------------------------------------------*/
 956
 957 static const struct nameval consts[] = {
 958   CONST(FTY_PRIME), CONST(FTY_BINARY),
 959   { 0 }
 960 };
 961
 962 void field_pyinit(void)
 963 {
 964   INITTYPE(fe, root);
 965   INITTYPE(field, type);
 966   INITTYPE(primefield, field);
 967   INITTYPE(niceprimefield, primefield);
 968   INITTYPE(binfield, field);
 969   INITTYPE(binpolyfield, binfield);
 970   INITTYPE(binnormfield, binfield);
 971 }
 972
 973 void field_pyinsert(PyObject *mod)
 974 {
 975   INSERT("FE", fe_pytype);
 976   INSERT("Field", field_pytype);
 977   INSERT("PrimeField", primefield_pytype);
 978   INSERT("NicePrimeField", niceprimefield_pytype);
 979   INSERT("BinField", binfield_pytype);
 980   INSERT("BinPolyField", binpolyfield_pytype);
 981   INSERT("BinNormField", binnormfield_pytype);
 982   setconstants(mod, consts);
 983 }
 984
 985 /*----- That's all, folks -------------------------------------------------*/