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

   1 /* -*-c-*-
   2  *
   3  * $Id$
   4  *
   5  * Abstract fields
   6  *
   7  * (c) 2004 Straylight/Edgeware
   8  */
   9
  10 /*----- Licensing notice --------------------------------------------------*
  11  *
  12  * This file is part of the Python interface to Catacomb.
  13  *
  14  * Catacomb/Python is free software; you can redistribute it and/or modify
  15  * it under the terms of the GNU General Public License as published by
  16  * the Free Software Foundation; either version 2 of the License, or
  17  * (at your option) any later version.
  18  *
  19  * Catacomb/Python is distributed in the hope that it will be useful,
  20  * but WITHOUT ANY WARRANTY; without even the implied warranty of
  21  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  22  * GNU General Public License for more details.
  23  *
  24  * You should have received a copy of the GNU General Public License
  25  * along with Catacomb/Python; if not, write to the Free Software Foundation,
  26  * Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
  27  */
  28
  29 /*----- Header files ------------------------------------------------------*/
  30
  31 #include "catacomb-python.h"
  32
  33 /*----- Various utilities -------------------------------------------------*/
  34
  35 PyTypeObject *field_pytype;
  36 PyTypeObject *primefield_pytype;
  37 PyTypeObject *niceprimefield_pytype;
  38 PyTypeObject *binfield_pytype;
  39 PyTypeObject *binpolyfield_pytype;
  40 PyTypeObject *binnormfield_pytype;
  41 PyTypeObject *fe_pytype;
  42
  43 static PyObject *fe_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
  44 {
  45   PyObject *x;
  46   mp *z;
  47   char *kwlist[] = { "x", 0 };
  48
  49   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:fe", kwlist, &x))
  50     return (0);
  51   if (FE_PYCHECK(x) && FE_F(x) == FIELD_F(ty)) RETURN_OBJ(x);
  52   if ((z = getmp(x)) == 0) return (0);
  53   z = F_IN(FIELD_F(ty), z, z);
  54   return (fe_pywrap((PyObject *)ty, z));
  55 }
  56
  57 static PyObject *field_dopywrap(PyTypeObject *ty, field *f)
  58 {
  59   field_pyobj *fobj = newtype(ty, 0, f->ops->name);
  60   fobj->f = f;
  61   fobj->ty.type.tp_basicsize = sizeof(fe_pyobj);
  62   fobj->ty.type.tp_base = fe_pytype;
  63   Py_INCREF(fe_pytype);
  64   fobj->ty.type.tp_flags = (Py_TPFLAGS_DEFAULT |
  65                             Py_TPFLAGS_BASETYPE |
  66                             Py_TPFLAGS_CHECKTYPES |
  67                             Py_TPFLAGS_HEAPTYPE);
  68   fobj->ty.type.tp_alloc = PyType_GenericAlloc;
  69   fobj->ty.type.tp_free = 0;
  70   fobj->ty.type.tp_new = fe_pynew;
  71   PyType_Ready(&fobj->ty.type);
  72   return ((PyObject *)fobj);
  73 }
  74
  75 PyObject *field_pywrap(field *f)
  76 {
  77   PyTypeObject *ty;
  78
  79   if (strcmp(F_NAME(f), "prime") == 0) ty = primefield_pytype;
  80   else if (strcmp(F_NAME(f), "niceprime") == 0) ty = niceprimefield_pytype;
  81   else if (strcmp(F_NAME(f), "binpoly") == 0) ty = binpolyfield_pytype;
  82   else if (strcmp(F_NAME(f), "binnorm") == 0) ty = binnormfield_pytype;
  83   else abort();
  84   return (field_dopywrap(ty, f));
  85 }
  86
  87 field *field_copy(field *f)
  88 {
  89   if (strcmp(F_NAME(f), "prime") == 0)
  90     f = field_prime(f->m);
  91   else if (strcmp(F_NAME(f), "niceprime") == 0)
  92     f = field_niceprime(f->m);
  93   else if (strcmp(F_NAME(f), "binpoly") == 0)
  94     f = field_binpoly(f->m);
  95   else if (strcmp(F_NAME(f), "binnorm") == 0) {
  96     fctx_binnorm *fc = (fctx_binnorm *)f;
  97     f = field_binnorm(f->m, fc->ntop.r[fc->ntop.n - 1]);
  98   } else
  99     abort();
 100   return (f);
 101 }
 102
 103 PyObject *fe_pywrap(PyObject *fobj, mp *x)
 104 {
 105   fe_pyobj *z = PyObject_New(fe_pyobj, (PyTypeObject *)fobj);
 106   z->f = FIELD_F(fobj);
 107   Py_INCREF(fobj);
 108   z->x = x;
 109   return ((PyObject *)z);
 110 }
 111
 112 static mp *tofe(field *f, PyObject *o)
 113 {
 114   mp *x = 0, *y = 0;
 115
 116   if (FE_PYCHECK(o)) {
 117     if (FE_F(o) != f && !field_samep(FE_F(o), f)) return (0);
 118     y = FE_X(o);
 119   }
 120   if ((x = tomp(o)) != 0) {
 121     if (MP_ZEROP(x))
 122       y = f->zero;
 123     else if (MP_EQ(x, MP_ONE))
 124       y = f->one;
 125   }
 126   if (x) MP_DROP(x);
 127   if (y) MP_COPY(y);
 128   return (y);
 129 }
 130
 131 mp *getfe(field *f, PyObject *o)
 132 {
 133   mp *x = 0;
 134   if ((x = tofe(f, o)) == 0) {
 135     PyErr_Format(PyExc_TypeError, "can't convert %.100s to fe",
 136                  o->ob_type->tp_name);
 137   }
 138   return (x);
 139 }
 140
 141 /*----- Field elements ----------------------------------------------------*/
 142
 143 static int febinop(PyObject *x, PyObject *y,
 144                    field **f, PyObject **fobj, mp **xx, mp **yy)
 145 {
 146   if (FE_PYCHECK(x)) *fobj = FE_FOBJ(x);
 147   else if (FE_PYCHECK(y)) *fobj = FE_FOBJ(y);
 148   else return (-1);
 149   *f = FIELD_F(*fobj);
 150   if ((*xx = tofe(*f, x)) == 0)
 151     return (-1);
 152   if ((*yy = tofe(*f, y)) == 0) {
 153     MP_DROP(*xx);
 154     return (-1);
 155   }
 156   return (0);
 157 }
 158
 159 #define BINOP(name)                                                     \
 160   static PyObject *fe_py##name(PyObject *x, PyObject *y) {              \
 161     PyObject *fobj;                                                     \
 162     field *ff;                                                          \
 163     mp *xx, *yy, *zz;                                                   \
 164     if (febinop(x, y, &ff, &fobj, &xx, &yy)) RETURN_NOTIMPL;            \
 165     zz = ff->ops->name(ff, MP_NEW, xx, yy);                             \
 166     MP_DROP(xx); MP_DROP(yy);                                           \
 167     return (fe_pywrap(fobj, zz));                                       \
 168   }
 169 BINOP(add)
 170 BINOP(sub)
 171 BINOP(mul)
 172 #undef BINOP
 173
 174 static PyObject *fe_pydiv(PyObject *x, PyObject *y)
 175 {
 176   PyObject *fobj;
 177   field *ff;
 178   mp *xx, *yy;
 179   PyObject *z = 0;
 180   if (febinop(x, y, &ff, &fobj, &xx, &yy)) RETURN_NOTIMPL;
 181   if (F_ZEROP(ff, yy)) ZDIVERR("division by zero");
 182   yy = F_INV(ff, yy, yy);
 183   z = fe_pywrap(fobj, F_MUL(ff, MP_NEW, xx, yy));
 184 end:
 185   MP_DROP(xx); MP_DROP(yy);
 186   return (z);
 187 }
 188
 189 static PyObject *fe_pyexp(PyObject *x, PyObject *y, PyObject *z)
 190 {
 191   field *ff;
 192   mp *xx, *yy;
 193
 194   if (z != Py_None || !FE_PYCHECK(x) || (yy = tomp(y)) == 0)
 195     RETURN_NOTIMPL;
 196   ff = FE_F(x); xx = FE_X(x); MP_COPY(xx);
 197   if (MP_NEGP(yy) && F_ZEROP(ff, xx)) ZDIVERR("division by zero");
 198   z = fe_pywrap(FE_FOBJ(x), field_exp(ff, MP_NEW, xx, yy));
 199 end:
 200   MP_DROP(xx); MP_DROP(yy);
 201   return (z);
 202 }
 203
 204 static PyObject *fe_pyneg(PyObject *x)
 205 {
 206   return fe_pywrap(FE_FOBJ(x), FE_F(x)->ops->neg(FE_F(x), MP_NEW, FE_X(x)));
 207 }
 208
 209 static PyObject *fe_pyid(PyObject *x) { RETURN_OBJ(x); }
 210
 211 static int fe_pynonzerop(PyObject *x) { return !F_ZEROP(FE_F(x), FE_X(x)); }
 212
 213 static PyObject *fe_pyrichcompare(PyObject *x, PyObject *y, int op)
 214 {
 215   PyObject *fobj;
 216   field *ff;
 217   mp *xx, *yy;
 218   int b;
 219   PyObject *rc = 0;
 220
 221   if (febinop(x, y, &ff, &fobj, &xx, &yy)) RETURN_NOTIMPL;
 222   switch (op) {
 223     case Py_EQ: b = MP_EQ(xx, yy); break;
 224     case Py_NE: b = !MP_EQ(xx, yy); break;
 225     default: TYERR("field elements are unordered");
 226   }
 227   rc = getbool(b);
 228 end:
 229   MP_DROP(xx); MP_DROP(yy);
 230   return (rc);
 231 }
 232
 233 static long fe_pyhash(PyObject *me)
 234 {
 235   long i = mp_tolong(FE_X(me));
 236   i ^= 0xdcf62d6c; /* random perturbance */
 237   if (i == -1)
 238     i = -2;
 239   return (i);
 240 }
 241
 242 static int fe_pycoerce(PyObject **x, PyObject **y)
 243 {
 244   mp *z;
 245
 246   if (FE_PYCHECK(*y)) {
 247     if (FE_F(*x) != FE_F(*y) && !field_samep(FE_F(*x), FE_F(*y)))
 248       TYERR("field mismatch");
 249     Py_INCREF(*x); Py_INCREF(*y);
 250     return (0);
 251   }
 252   if ((z = tofe(FE_F(*x), *y)) != 0) {
 253     Py_INCREF(*x);
 254     *y = fe_pywrap(FE_FOBJ(*x), z);
 255     return (0);
 256   }
 257   return (1);
 258
 259 end:
 260   return (-1);
 261 }
 262
 263 static PyObject *fe_pyint(PyObject *x)
 264 {
 265   long l;
 266   mp *xx = F_OUT(FE_F(x), MP_NEW, FE_X(x));
 267   if (mp_tolong_checked(xx, &l)) { MP_DROP(xx); return (0); }
 268   MP_DROP(xx);
 269   return (PyInt_FromLong(l));
 270 }
 271
 272 static PyObject *fe_pylong(PyObject *x)
 273 {
 274   mp *xx = F_OUT(FE_F(x), MP_NEW, FE_X(x));
 275   PyObject *rc = (PyObject *)mp_topylong(xx);
 276   MP_DROP(xx);
 277   return (rc);
 278 }
 279
 280 #define BASEOP(name, radix, pre)                                        \
 281   static PyObject *fe_py##name(PyObject *x) {                           \
 282     mp *xx = F_OUT(FE_F(x), MP_NEW, FE_X(x));                           \
 283     PyObject *rc = mp_topystring(FE_X(x), radix, 0, pre, 0);            \
 284     MP_DROP(xx);                                                        \
 285     return (rc);                                                        \
 286   }
 287 BASEOP(oct, 8, "0");
 288 BASEOP(hex, 16, "0x");
 289 #undef BASEOP
 290
 291 static void fe_pydealloc(PyObject *me)
 292 {
 293   Py_DECREF(FE_FOBJ(me));
 294   MP_DROP(FE_X(me));
 295   FREEOBJ(me);
 296 }
 297
 298 #define UNOP(name, check)                                               \
 299   static PyObject *femeth_##name(PyObject *me, PyObject *arg) {         \
 300     field *f = FE_F(me);                                                \
 301     mp *x = FE_X(me);                                                   \
 302     if (!PyArg_ParseTuple(arg, ":" #name)) return (0);                  \
 303     if (!f->ops->name) TYERR(#name " not supported for this field");    \
 304     check                                                               \
 305     x = f->ops->name(f, MP_NEW, x);                                     \
 306     if (!x) RETURN_NONE;                                                \
 307     return (fe_pywrap(FE_FOBJ(me), x));                                 \
 308   end:                                                                  \
 309     return (0);                                                         \
 310   }
 311 UNOP(inv, if (F_ZEROP(f, x)) ZDIVERR("division by zero"); )
 312 UNOP(sqr, ; )
 313 UNOP(sqrt, ; )
 314 UNOP(quadsolve, ; )
 315 UNOP(dbl, ; )
 316 UNOP(tpl, ; )
 317 UNOP(qdl, ; )
 318 UNOP(hlv, ; )
 319 #undef UNOP
 320
 321 static PyObject *feget_field(PyObject *me, void *hunoz)
 322   { RETURN_OBJ(FE_FOBJ(me)); }
 323
 324 static PyObject *feget_value(PyObject *me, void *hunoz)
 325 {
 326   mp *x = F_OUT(FE_F(me), MP_NEW, FE_X(me));
 327   if (F_TYPE(FE_F(me)) == FTY_BINARY)
 328     return (gf_pywrap(x));
 329   else
 330     return (mp_pywrap(x));
 331 }
 332
 333 static PyObject *feget__value(PyObject *me, void *hunoz)
 334 {
 335   mp *x = FE_X(me);
 336   MP_COPY(x);
 337   if (F_TYPE(FE_F(me)) == FTY_BINARY)
 338     return (gf_pywrap(x));
 339   else
 340     return (mp_pywrap(x));
 341 }
 342
 343 static PyGetSetDef fe_pygetset[] = {
 344 #define GETSETNAME(op, name) fe##op##_##name
 345   GET   (field,         "X.field -> field containing X")
 346   GET   (value,         "X.value -> `natural' integer representation of X")
 347   GET   (_value,        "X._value -> internal integer representation of X")
 348 #undef GETSETNAME
 349   { 0 }
 350 };
 351
 352 static PyMethodDef fe_pymethods[] = {
 353 #define METHNAME(func) femeth_##func
 354   METH  (inv,           "X.inv() -> X^{-1}")
 355   METH  (sqr,           "X.sqr() -> X^2")
 356   METH  (sqrt,          "X.sqrt() -> sqrt(X)")
 357   METH  (quadsolve,     "X.quadsolve() -> Y where Y^2 + Y = X (binary only)")
 358   METH  (dbl,           "X.dbl() -> 2 * X (prime only)")
 359   METH  (tpl,           "X.tpl() -> 3 * X (prime only)")
 360   METH  (qdl,           "X.qdl() -> 4 * X (prime only)")
 361   METH  (hlv,           "X.hlv() -> X/2 (prime only)")
 362 #undef METHNAME
 363   { 0 }
 364 };
 365
 366 static PyNumberMethods fe_pynumber = {
 367   fe_pyadd,                             /* @nb_add@ */
 368   fe_pysub,                             /* @nb_subtract@ */
 369   fe_pymul,                             /* @nb_multiply@ */
 370   fe_pydiv,                             /* @nb_divide@ */
 371   0,                                    /* @nb_remainder@ */
 372   0,                                    /* @nb_divmod@ */
 373   fe_pyexp,                             /* @nb_power@ */
 374   fe_pyneg,                             /* @nb_negative@ */
 375   fe_pyid,                              /* @nb_positive@ */
 376   0,                                    /* @nb_absolute@ */
 377   fe_pynonzerop,                        /* @nb_nonzero@ */
 378   0,                                    /* @nb_invert@ */
 379   0,                                    /* @nb_lshift@ */
 380   0,                                    /* @nb_rshift@ */
 381   0,                                    /* @nb_and@ */
 382   0,                                    /* @nb_xor@ */
 383   0,                                    /* @nb_or@ */
 384   fe_pycoerce,                          /* @nb_coerce@ */
 385   fe_pyint,                             /* @nb_int@ */
 386   fe_pylong,                            /* @nb_long@ */
 387   0 /* meaningless */,                  /* @nb_float@ */
 388   fe_pyoct,                             /* @nb_oct@ */
 389   fe_pyhex,                             /* @nb_hex@ */
 390
 391   0,                                    /* @nb_inplace_add@ */
 392   0,                                    /* @nb_inplace_subtract@ */
 393   0,                                    /* @nb_inplace_multiply@ */
 394   0,                                    /* @nb_inplace_divide@ */
 395   0,                                    /* @nb_inplace_remainder@ */
 396   0,                                    /* @nb_inplace_power@ */
 397   0,                                    /* @nb_inplace_lshift@ */
 398   0,                                    /* @nb_inplace_rshift@ */
 399   0,                                    /* @nb_inplace_and@ */
 400   0,                                    /* @nb_inplace_xor@ */
 401   0,                                    /* @nb_inplace_or@ */
 402
 403   0,                                    /* @nb_floor_divide@ */
 404   fe_pydiv,                             /* @nb_true_divide@ */
 405   0,                                    /* @nb_inplace_floor_divide@ */
 406   0,                                    /* @nb_inplace_true_divide@ */
 407 };
 408
 409 static PyTypeObject fe_pytype_skel = {
 410   PyObject_HEAD_INIT(0) 0,              /* Header */
 411   "catacomb.FE",                        /* @tp_name@ */
 412   sizeof(fe_pyobj),                     /* @tp_basicsize@ */
 413   0,                                    /* @tp_itemsize@ */
 414
 415   fe_pydealloc,                         /* @tp_dealloc@ */
 416   0,                                    /* @tp_print@ */
 417   0,                                    /* @tp_getattr@ */
 418   0,                                    /* @tp_setattr@ */
 419   0,                                    /* @tp_compare@ */
 420   0,                                    /* @tp_repr@ */
 421   &fe_pynumber,                         /* @tp_as_number@ */
 422   0,                                    /* @tp_as_sequence@ */
 423   0,                                    /* @tp_as_mapping@ */
 424   fe_pyhash,                            /* @tp_hash@ */
 425   0,                                    /* @tp_call@ */
 426   fe_pyhex,                             /* @tp_str@ */
 427   0,                                    /* @tp_getattro@ */
 428   0,                                    /* @tp_setattro@ */
 429   0,                                    /* @tp_as_buffer@ */
 430   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 431     Py_TPFLAGS_CHECKTYPES |
 432     Py_TPFLAGS_BASETYPE,
 433
 434   /* @tp_doc@ */
 435 "Finite field elements, abstract base class.",
 436
 437   0,                                    /* @tp_traverse@ */
 438   0,                                    /* @tp_clear@ */
 439   fe_pyrichcompare,                     /* @tp_richcompare@ */
 440   0,                                    /* @tp_weaklistoffset@ */
 441   0,                                    /* @tp_iter@ */
 442   0,                                    /* @tp_iternext@ */
 443   fe_pymethods,                         /* @tp_methods@ */
 444   0,                                    /* @tp_members@ */
 445   fe_pygetset,                          /* @tp_getset@ */
 446   0,                                    /* @tp_base@ */
 447   0,                                    /* @tp_dict@ */
 448   0,                                    /* @tp_descr_get@ */
 449   0,                                    /* @tp_descr_set@ */
 450   0,                                    /* @tp_dictoffset@ */
 451   0,                                    /* @tp_init@ */
 452   PyType_GenericAlloc,                  /* @tp_alloc@ */
 453   abstract_pynew,                       /* @tp_new@ */
 454   0,                                    /* @tp_free@ */
 455   0                                     /* @tp_is_gc@ */
 456 };
 457
 458 /*----- Fields ------------------------------------------------------------*/
 459
 460 static PyObject *field_pyrichcompare(PyObject *x, PyObject *y, int op)
 461 {
 462   int b = field_samep(FIELD_F(x), FIELD_F(y));
 463   switch (op) {
 464     case Py_EQ: break;
 465     case Py_NE: b = !b;
 466     default: TYERR("can't order fields");
 467   }
 468   return (getbool(b));
 469 end:
 470   return (0);
 471 }
 472
 473 static PyObject *fmeth_rand(PyObject *me, PyObject *arg, PyObject *kw)
 474 {
 475   char *kwlist[] = { "rng", 0 };
 476   grand *r = &rand_global;
 477
 478   if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&:rand", kwlist,
 479                                    convgrand, &r))
 480     return (0);
 481   return (fe_pywrap(me, F_RAND(FIELD_F(me), MP_NEW, r)));
 482 }
 483
 484 static PyObject *fmeth__adopt(PyObject *me, PyObject *arg)
 485 {
 486   mp *xx;
 487   if (!PyArg_ParseTuple(arg, "O&:_adopt", convmp, &xx)) return (0);
 488   return (fe_pywrap(me, xx));
 489 }
 490
 491 static void field_pydealloc(PyObject *me)
 492 {
 493   F_DESTROY(FIELD_F(me));
 494   PyType_Type.tp_dealloc(me);
 495 }
 496
 497 static PyObject *fget_zero(PyObject *me, void *hunoz)
 498   { return (fe_pywrap(me, MP_COPY(FIELD_F(me)->zero))); }
 499
 500 static PyObject *fget_one(PyObject *me, void *hunoz)
 501   { return (fe_pywrap(me, MP_COPY(FIELD_F(me)->one))); }
 502
 503 static PyObject *fget_q(PyObject *me, void *hunoz)
 504   { return (mp_pywrap(MP_COPY(FIELD_F(me)->q))); }
 505
 506 static PyObject *fget_nbits(PyObject *me, void *hunoz)
 507   { return (PyInt_FromLong(FIELD_F(me)->nbits)); }
 508
 509 static PyObject *fget_noctets(PyObject *me, void *hunoz)
 510   { return (PyInt_FromLong(FIELD_F(me)->noctets)); }
 511
 512 static PyObject *fget_name(PyObject *me, void *hunoz)
 513   { return (PyString_FromString(F_NAME(FIELD_F(me)))); }
 514
 515 static PyObject *fget_type(PyObject *me, void *hunoz)
 516   { return (PyInt_FromLong(F_TYPE(FIELD_F(me)))); }
 517
 518 static PyGetSetDef field_pygetset[] = {
 519 #define GETSETNAME(op, name) f##op##_##name
 520   GET   (zero,          "F.zero -> field additive identity")
 521   GET   (one,           "F.one -> field multiplicative identity")
 522   GET   (q,             "F.q -> number of elements in field")
 523   GET   (nbits,         "F.nbits -> bits needed to represent element")
 524   GET   (noctets,       "F.noctets -> octetss needed to represent element")
 525   GET   (name,          "F.name -> name of this kind of field")
 526   GET   (type,          "F.type -> type code of this kind of field")
 527 #undef GETSETNAME
 528   { 0 }
 529 };
 530
 531 static PyMethodDef field_pymethods[] = {
 532 #define METHNAME(name) fmeth_##name
 533   METH  (_adopt,        "F._adopt(X) -> FE")
 534   KWMETH(rand,          "F.rand(rng = rand) -> FE, uniformly distributed")
 535 #undef METHNAME
 536   { 0 }
 537 };
 538
 539 static PyTypeObject field_pytype_skel = {
 540   PyObject_HEAD_INIT(0) 0,              /* Header */
 541   "catacomb.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   field_pymethods,                      /* @tp_methods@ */
 573   0,                                    /* @tp_members@ */
 574   field_pygetset,                       /* @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   char *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 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   "catacomb.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   "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   primefield_pygetset,                  /* @tp_getset@ */
 653   0,                                    /* @tp_base@ */
 654   0,                                    /* @tp_dict@ */
 655   0,                                    /* @tp_descr_get@ */
 656   0,                                    /* @tp_descr_set@ */
 657   0,                                    /* @tp_dictoffset@ */
 658   0,                                    /* @tp_init@ */
 659   PyType_GenericAlloc,                  /* @tp_alloc@ */
 660   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   char *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   "catacomb.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   "Nice prime fields.",
 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 PyGetSetDef binfield_pygetset[] = {
 738 #define GETSETNAME(op, name) bf##op##_##name
 739   GET   (m,             "F.m -> field polynomial degree")
 740 #undef GETSETNAME
 741   { 0 }
 742 };
 743
 744 static PyTypeObject binfield_pytype_skel = {
 745   PyObject_HEAD_INIT(0) 0,              /* Header */
 746   "catacomb.BinField",                  /* @tp_name@ */
 747   sizeof(field_pyobj),                  /* @tp_basicsize@ */
 748   0,                                    /* @tp_itemsize@ */
 749
 750   field_pydealloc,                      /* @tp_dealloc@ */
 751   0,                                    /* @tp_print@ */
 752   0,                                    /* @tp_getattr@ */
 753   0,                                    /* @tp_setattr@ */
 754   0,                                    /* @tp_compare@ */
 755   0,                                    /* @tp_repr@ */
 756   0,                                    /* @tp_as_number@ */
 757   0,                                    /* @tp_as_sequence@ */
 758   0,                                    /* @tp_as_mapping@ */
 759   0,                                    /* @tp_hash@ */
 760   0,                                    /* @tp_call@ */
 761   0,                                    /* @tp_str@ */
 762   0,                                    /* @tp_getattro@ */
 763   0,                                    /* @tp_setattro@ */
 764   0,                                    /* @tp_as_buffer@ */
 765   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 766     Py_TPFLAGS_BASETYPE,
 767
 768   /* @tp_doc@ */
 769   "Binary fields.  Abstract class.",
 770
 771   0,                                    /* @tp_traverse@ */
 772   0,                                    /* @tp_clear@ */
 773   field_pyrichcompare,                  /* @tp_richcompare@ */
 774   0,                                    /* @tp_weaklistoffset@ */
 775   0,                                    /* @tp_iter@ */
 776   0,                                    /* @tp_iternext@ */
 777   0,                                    /* @tp_methods@ */
 778   0,                                    /* @tp_members@ */
 779   binfield_pygetset,                    /* @tp_getset@ */
 780   0,                                    /* @tp_base@ */
 781   0,                                    /* @tp_dict@ */
 782   0,                                    /* @tp_descr_get@ */
 783   0,                                    /* @tp_descr_set@ */
 784   0,                                    /* @tp_dictoffset@ */
 785   0,                                    /* @tp_init@ */
 786   PyType_GenericAlloc,                  /* @tp_alloc@ */
 787   abstract_pynew,                       /* @tp_new@ */
 788   0,                                    /* @tp_free@ */
 789   0                                     /* @tp_is_gc@ */
 790 };
 791
 792 static PyObject *binpolyfield_pynew(PyTypeObject *ty,
 793                                     PyObject *arg, PyObject *kw)
 794 {
 795   mp *xx = 0;
 796   field *f;
 797   char *kwlist[] = { "p", 0 };
 798
 799   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:binpolyfield", kwlist,
 800                                    convgf, &xx))
 801     goto end;
 802   if ((f = field_binpoly(xx)) == 0) VALERR("bad poly for binpolyfield");
 803   MP_DROP(xx);
 804   return (field_dopywrap(ty, f));
 805 end:
 806   mp_drop(xx);
 807   return (0);
 808 }
 809
 810 static PyGetSetDef binpolyfield_pygetset[] = {
 811 #define GETSETNAME(op, name) pf##op##_##name
 812   GET   (p,             "F.p -> field polynomial")
 813 #undef GETSETNAME
 814   { 0 }
 815 };
 816
 817 static PyTypeObject binpolyfield_pytype_skel = {
 818   PyObject_HEAD_INIT(0) 0,              /* Header */
 819   "catacomb.BinPolyField",              /* @tp_name@ */
 820   sizeof(field_pyobj),                  /* @tp_basicsize@ */
 821   0,                                    /* @tp_itemsize@ */
 822
 823   field_pydealloc,                      /* @tp_dealloc@ */
 824   0,                                    /* @tp_print@ */
 825   0,                                    /* @tp_getattr@ */
 826   0,                                    /* @tp_setattr@ */
 827   0,                                    /* @tp_compare@ */
 828   0,                                    /* @tp_repr@ */
 829   0,                                    /* @tp_as_number@ */
 830   0,                                    /* @tp_as_sequence@ */
 831   0,                                    /* @tp_as_mapping@ */
 832   0,                                    /* @tp_hash@ */
 833   0,                                    /* @tp_call@ */
 834   0,                                    /* @tp_str@ */
 835   0,                                    /* @tp_getattro@ */
 836   0,                                    /* @tp_setattro@ */
 837   0,                                    /* @tp_as_buffer@ */
 838   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 839     Py_TPFLAGS_BASETYPE,
 840
 841   /* @tp_doc@ */
 842   "Binary fields with polynomial basis representation.",
 843
 844   0,                                    /* @tp_traverse@ */
 845   0,                                    /* @tp_clear@ */
 846   field_pyrichcompare,                  /* @tp_richcompare@ */
 847   0,                                    /* @tp_weaklistoffset@ */
 848   0,                                    /* @tp_iter@ */
 849   0,                                    /* @tp_iternext@ */
 850   0,                                    /* @tp_methods@ */
 851   0,                                    /* @tp_members@ */
 852   binpolyfield_pygetset,                /* @tp_getset@ */
 853   0,                                    /* @tp_base@ */
 854   0,                                    /* @tp_dict@ */
 855   0,                                    /* @tp_descr_get@ */
 856   0,                                    /* @tp_descr_set@ */
 857   0,                                    /* @tp_dictoffset@ */
 858   0,                                    /* @tp_init@ */
 859   PyType_GenericAlloc,                  /* @tp_alloc@ */
 860   binpolyfield_pynew,                   /* @tp_new@ */
 861   0,                                    /* @tp_free@ */
 862   0                                     /* @tp_is_gc@ */
 863 };
 864
 865 static PyObject *binnormfield_pynew(PyTypeObject *ty,
 866                                     PyObject *arg, PyObject *kw)
 867 {
 868   mp *xx = 0, *yy = 0;
 869   field *f;
 870   char *kwlist[] = { "p", "beta", 0 };
 871
 872   if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:binnormfield",
 873                                    kwlist, convgf, &xx, convgf, &yy))
 874     goto end;
 875   if ((f = field_binnorm(xx, yy)) == 0) VALERR("bad args for binnormfield");
 876   MP_DROP(xx); MP_DROP(yy);
 877   return (field_dopywrap(ty, f));
 878 end:
 879   mp_drop(xx); mp_drop(yy);
 880   return (0);
 881 }
 882
 883 static PyObject *bnfget_beta(PyObject *me, void *hunoz)
 884 {
 885   fctx_binnorm *fc = (fctx_binnorm *)FIELD_F(me);
 886   return (gf_pywrap(MP_COPY(fc->ntop.r[fc->ntop.n - 1])));
 887 }
 888
 889 static PyGetSetDef binnormfield_pygetset[] = {
 890 #define GETSETNAME(op, name) pf##op##_##name
 891   GET   (p,             "F.p -> field polynomial")
 892 #undef GETSETNAME
 893 #define GETSETNAME(op, name) bnf##op##_##name
 894   GET   (beta,          "F.beta -> conversion factor")
 895 #undef GETSETNAME
 896   { 0 }
 897 };
 898
 899 static PyTypeObject binnormfield_pytype_skel = {
 900   PyObject_HEAD_INIT(0) 0,              /* Header */
 901   "catacomb.BinNormField",              /* @tp_name@ */
 902   sizeof(field_pyobj),                  /* @tp_basicsize@ */
 903   0,                                    /* @tp_itemsize@ */
 904
 905   field_pydealloc,                      /* @tp_dealloc@ */
 906   0,                                    /* @tp_print@ */
 907   0,                                    /* @tp_getattr@ */
 908   0,                                    /* @tp_setattr@ */
 909   0,                                    /* @tp_compare@ */
 910   0,                                    /* @tp_repr@ */
 911   0,                                    /* @tp_as_number@ */
 912   0,                                    /* @tp_as_sequence@ */
 913   0,                                    /* @tp_as_mapping@ */
 914   0,                                    /* @tp_hash@ */
 915   0,                                    /* @tp_call@ */
 916   0,                                    /* @tp_str@ */
 917   0,                                    /* @tp_getattro@ */
 918   0,                                    /* @tp_setattro@ */
 919   0,                                    /* @tp_as_buffer@ */
 920   Py_TPFLAGS_DEFAULT |                  /* @tp_flags@ */
 921     Py_TPFLAGS_BASETYPE,
 922
 923   /* @tp_doc@ */
 924   "Binary fields with normal basis representation.",
 925
 926   0,                                    /* @tp_traverse@ */
 927   0,                                    /* @tp_clear@ */
 928   field_pyrichcompare,                  /* @tp_richcompare@ */
 929   0,                                    /* @tp_weaklistoffset@ */
 930   0,                                    /* @tp_iter@ */
 931   0,                                    /* @tp_iternext@ */
 932   0,                                    /* @tp_methods@ */
 933   0,                                    /* @tp_members@ */
 934   binnormfield_pygetset,                /* @tp_getset@ */
 935   0,                                    /* @tp_base@ */
 936   0,                                    /* @tp_dict@ */
 937   0,                                    /* @tp_descr_get@ */
 938   0,                                    /* @tp_descr_set@ */
 939   0,                                    /* @tp_dictoffset@ */
 940   0,                                    /* @tp_init@ */
 941   PyType_GenericAlloc,                  /* @tp_alloc@ */
 942   binnormfield_pynew,                   /* @tp_new@ */
 943   0,                                    /* @tp_free@ */
 944   0                                     /* @tp_is_gc@ */
 945 };
 946
 947 /*----- Setup -------------------------------------------------------------*/
 948
 949 static PyObject *meth__Field_parse(PyObject *me, PyObject *arg)
 950 {
 951   field *f;
 952   char *p;
 953   PyObject *rc = 0;
 954   qd_parse qd;
 955
 956   if (!PyArg_ParseTuple(arg, "Os:parse", &me, &p))
 957     goto end;
 958   qd.p = p;
 959   qd.e = 0;
 960   if ((f = field_parse(&qd)) == 0)
 961     SYNERR(qd.e);
 962   rc = Py_BuildValue("(Ns)", field_pywrap(f), qd.p);
 963 end:
 964   return (rc);
 965 }
 966
 967 static PyMethodDef methods[] = {
 968 #define METHNAME(func) meth_##func
 969   METH  (_Field_parse,          "parse(STR) -> F, REST")
 970 #undef METHNAME
 971   { 0 }
 972 };
 973
 974 void field_pyinit(void)
 975 {
 976   INITTYPE(fe, root);
 977   INITTYPE(field, type);
 978   INITTYPE(primefield, field);
 979   INITTYPE(niceprimefield, primefield);
 980   INITTYPE(binfield, field);
 981   INITTYPE(binpolyfield, binfield);
 982   INITTYPE(binnormfield, binfield);
 983   addmethods(methods);
 984 }
 985
 986 void field_pyinsert(PyObject *mod)
 987 {
 988   INSERT("FE", fe_pytype);
 989   INSERT("Field", field_pytype);
 990   INSERT("PrimeField", primefield_pytype);
 991   INSERT("NicePrimeField", niceprimefield_pytype);
 992   INSERT("BinField", binfield_pytype);
 993   INSERT("BinPolyField", binpolyfield_pytype);
 994   INSERT("BinNormField", binnormfield_pytype);
 995 }
 996
 997 /*----- That's all, folks -------------------------------------------------*/