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mp: Be more restrictive about implicit conversions.
[catacomb-python] / mp.c
CommitLineData
d7ab1bab 1/* -*-c-*-
2 *
3 * $Id$
4 *
5 * Multiprecision arithmetic
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/*----- General utilities -------------------------------------------------*/
34
35PyTypeObject *mp_pytype = 0;
36PyTypeObject *gf_pytype = 0;
37
f368b46e 38mp *mp_frompylong(PyObject *obj)
d7ab1bab 39{
40 unsigned long bits;
f368b46e 41 PyLongObject *l = (PyLongObject *)obj;
d7ab1bab 42 int sz;
43 size_t w;
44 mpd r = 0;
45 int b = 0;
46 int i;
47 mp *x;
48 mpw *p;
49
50 sz = l->ob_size;
51 if (sz < 0) sz = -sz;
52 assert(MPW_BITS >= SHIFT);
53 bits = (unsigned long)sz * SHIFT;
54 w = (bits + MPW_BITS - 1)/MPW_BITS;
55 x = mp_new(w, l->ob_size < 0 ? MP_NEG : 0);
56 p = x->v;
57 for (i = 0; i < sz; i++) {
58 r |= (mpd)l->ob_digit[i] << b;
59 b += SHIFT;
60 while (b >= MPW_BITS) {
61 *p++ = MPW(r);
62 r >>= MPW_BITS;
63 b -= MPW_BITS;
64 }
65 }
66 while (r) {
67 *p++ = MPW(r);
68 r >>= MPW_BITS;
69 }
70 x->vl = p;
71 MP_SHRINK(x);
72 return (x);
73}
74
f368b46e 75PyObject *mp_topylong(mp *x)
d7ab1bab 76{
77 unsigned long bits = mp_bits(x);
78 int sz = (bits + SHIFT - 1)/SHIFT;
79 PyLongObject *l = _PyLong_New(sz);
80 mpd r = 0;
81 int b = 0;
82 mpw *p = x->v;
83 int i = 0;
84
85 assert(MPW_BITS >= SHIFT);
86 while (i < sz && p < x->vl) {
f368b46e 87 r |= (mpd)*p++ << b;
d7ab1bab 88 b += MPW_BITS;
89 while (i < sz && b >= SHIFT) {
90 l->ob_digit[i++] = r & MASK;
91 r >>= SHIFT;
92 b -= SHIFT;
93 }
94 }
95 while (i < sz && r) {
96 l->ob_digit[i++] = r & MASK;
97 r >>= SHIFT;
98 }
99 l->ob_size = (x->f & MP_NEG) ? -sz : sz;
f368b46e 100 return ((PyObject *)l);
d7ab1bab 101}
102
103mp *mp_frompyobject(PyObject *o, int radix)
104{
105 mp *x;
106
d7ab1bab 107 if (PyString_Check(o)) {
108 mptext_stringctx sc;
109 mp *x;
110 sc.buf = PyString_AS_STRING(o);
111 sc.lim = sc.buf + PyString_GET_SIZE(o);
112 x = mp_read(MP_NEW, radix, &mptext_stringops, &sc);
113 if (!x) return (0);
114 if (sc.buf < sc.lim) { MP_DROP(x); return (0); }
115 return (x);
116 }
f368b46e
MW		 117 if ((x = tomp(o)) != 0)
118 return (x);
d7ab1bab 119 return (0);
120}
121
122PyObject *mp_topystring(mp *x, int radix, const char *xpre,
123 const char *pre, const char *post)
124{
125 int len = mptext_len(x, radix) + 1;
126 mptext_stringctx sc;
127 PyObject *o;
128 size_t xprelen = xpre ? strlen(xpre) : 0;
129 size_t prelen = pre ? strlen(pre) : 0;
130 size_t postlen = post ? strlen(post) : 0;
131 char *p;
132 MP_COPY(x);
133 o = PyString_FromStringAndSize(0, len + 1 + xprelen + prelen + postlen);
134 p = PyString_AS_STRING(o);
135 sc.buf = p;
136 if (xpre) { memcpy(sc.buf, xpre, xprelen); sc.buf += xprelen; }
137 if (MP_NEGP(x)) { *sc.buf++ = '-'; x = mp_neg(x, x); }
138 if (pre) { memcpy(sc.buf, pre, prelen); sc.buf += prelen; }
139 sc.lim = sc.buf + len;
140 mp_write(x, radix, &mptext_stringops, &sc);
141 if (post) { memcpy(sc.buf, post, postlen); sc.buf += postlen; }
142 MP_DROP(x);
143 _PyString_Resize(&o, sc.buf - p);
144 return (o);
145}
146
f368b46e
MW		 147static int good_radix_p(int r, int readp)
148{
149 return ((r >= -255 && r <= -2) ||
150 (readp && r == 0) ||
151 (r >= 2 && r <= 62));
152}
153
d7ab1bab 154PyObject *mp_pywrap(mp *x)
155{
156 mp_pyobj *z = PyObject_New(mp_pyobj, mp_pytype);
157 z->x = x;
158 return ((PyObject *)z);
159}
160
161PyObject *gf_pywrap(mp *x)
162{
163 mp_pyobj *z = PyObject_New(mp_pyobj, gf_pytype);
164 z->x = x;
165 return ((PyObject *)z);
166}
167
168int mp_tolong_checked(mp *x, long *l)
169{
170 static mp *longmin = 0, *longmax = 0;
171 int rc = -1;
172
173 if (!longmax) {
174 longmin = mp_fromlong(MP_NEW, LONG_MIN);
175 longmax = mp_fromlong(MP_NEW, LONG_MAX);
176 }
177 if (MP_CMP(x, <, longmin) || MP_CMP(x, >, longmax))
178 VALERR("mp out of range for int");
179 *l = mp_tolong(x);
180 rc = 0;
181end:
182 return (rc);
183}
184
185/*----- Python interface --------------------------------------------------*/
186
187static void mp_pydealloc(PyObject *o)
188{
189 MP_DROP(MP_X(o));
3aa33042 190 FREEOBJ(o);
d7ab1bab 191}
192
193static PyObject *mp_pyrepr(PyObject *o)
194 { return mp_topystring(MP_X(o), 10, "MP(", 0, "L)"); }
195
196static PyObject *mp_pystr(PyObject *o)
197 { return mp_topystring(MP_X(o), 10, 0, 0, 0); }
198
199mp *tomp(PyObject *o)
200{
201 PyObject *l;
202 mp *x;
203
204 if (!o)
205 return (0);
206 else if (MP_PYCHECK(o) || GF_PYCHECK(o))
207 return (MP_COPY(MP_X(o)));
208 else if (FE_PYCHECK(o))
209 return (F_OUT(FE_F(o), MP_NEW, FE_X(o)));
210 else if (PFILT_PYCHECK(o))
211 return (MP_COPY(PFILT_F(o)->m));
212 else if (ECPT_PYCHECK(o)) {
213 ec p = EC_INIT;
214 getecptout(&p, o);
215 x = MP_COPY(p.x);
216 EC_DESTROY(&p);
217 return (x);
218 } else if (GE_PYCHECK(o)) {
219 if ((x = G_TOINT(GE_G(o), MP_NEW, GE_X(o))) == 0)
220 return (0);
221 return (x);
222 } else if (PyInt_Check(o))
223 return (mp_fromlong(MP_NEW, PyInt_AS_LONG(o)));
224 else if ((l = PyNumber_Long(o)) != 0) {
f368b46e 225 x = mp_frompylong(l);
d7ab1bab 226 Py_DECREF(l);
227 return (x);
228 } else {
229 PyErr_Clear();
230 return (0);
231 }
232}
233
234mp *getmp(PyObject *o)
235{
236 mp *x = 0;
237 if (!o) return (0);
238 if ((x = tomp(o)) == 0) {
239 PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp",
240 o->ob_type->tp_name);
241 }
242 return (x);
243}
244
245int convmp(PyObject *o, void *p)
246{
247 mp *x;
248 if ((x = getmp(o)) == 0) return (0);
249 *(mp **)p = x;
250 return (1);
251}
252
253mp *getgf(PyObject *o)
254{
255 mp *x = 0;
256 if (!o) return (0);
257 if ((x = tomp(o)) == 0) {
258 PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf",
259 o->ob_type->tp_name);
260 }
261 return (x);
262}
263
264int convgf(PyObject *o, void *p)
265{
266 mp *x;
267 if ((x = getgf(o)) == 0) return (0);
268 *(mp **)p = x;
269 return (1);
270}
271
bf8910bd
MW		 272static mp *implicitmp(PyObject *o)
273{
274 if (!o ||
275 GF_PYCHECK(o) ||
276 ECPT_PYCHECK(o) ||
277 FE_PYCHECK(o) ||
278 GE_PYCHECK(o))
279 return (0);
280 return (tomp(o));
281}
282
283static mp *implicitgf(PyObject *o)
284{
285 if (!o ||
286 MP_PYCHECK(o) ||
287 ECPT_PYCHECK(o) ||
288 FE_PYCHECK(o) ||
289 GE_PYCHECK(o))
290 return (0);
291 return (tomp(o));
292}
293
d7ab1bab 294static int mpbinop(PyObject *x, PyObject *y, mp **xx, mp **yy)
295{
bf8910bd
MW		 296 if ((*xx = implicitmp(x)) == 0)
297 return (-1);
298 if ((*yy = implicitmp(y)) == 0) {
299 MP_DROP(*xx);
300 return (-1);
301 }
302 return (0);
303}
304
305static int gfbinop(PyObject *x, PyObject *y, mp **xx, mp **yy)
306{
307 if ((*xx = implicitgf(x)) == 0)
d7ab1bab 308 return (-1);
bf8910bd 309 if ((*yy = implicitgf(y)) == 0) {
d7ab1bab 310 MP_DROP(*xx);
311 return (-1);
312 }
313 return (0);
314}
315
316#define gf_and mp_and
317#define gf_or mp_or
318#define gf_xor mp_xor
319#define BINOP(pre, name) \
320 static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \
321 mp *xx, *yy, *zz; \
bf8910bd 322 if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
d7ab1bab 323 zz = pre##_##name(MP_NEW, xx, yy); \
324 MP_DROP(xx); MP_DROP(yy); \
325 return (pre##_pywrap(zz)); \
326 }
327BINOP(mp, add)
328BINOP(mp, sub)
329BINOP(mp, mul)
330BINOP(mp, and2c)
331BINOP(mp, or2c)
332BINOP(mp, xor2c)
333BINOP(gf, add)
334BINOP(gf, sub)
335BINOP(gf, mul)
336BINOP(gf, and)
337BINOP(gf, or)
338BINOP(gf, xor)
339#undef BINOP
340
341static mp *mp_abs(mp *d, mp *x)
342{
343 if (MP_NEGP(x))
344 return (mp_neg(d, x));
345 MP_COPY(x);
346 if (d) MP_DROP(d);
347 return (x);
348}
349
350#define UNOP(pre, name) \
351 static PyObject *pre##_py##name(PyObject *x) \
352 { return mp_pywrap(pre##_##name(MP_NEW, MP_X(x))); }
353UNOP(mp, neg)
354UNOP(mp, abs)
355UNOP(mp, not2c)
356#undef UNOP
357
358static PyObject *mp_pyid(PyObject *x) { RETURN_OBJ(x); }
359
360#define gf_lsr mp_lsr
361#define SHIFTOP(pre, name, rname) \
362 static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \
363 mp *xx, *yy; \
364 PyObject *z = 0; \
365 long n; \
bf8910bd 366 if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
d7ab1bab 367 if (mp_tolong_checked(yy, &n)) goto end; \
368 if (n < 0) \
369 z = pre##_pywrap(mp_##rname(MP_NEW, xx, -n)); \
370 else \
371 z = pre##_pywrap(mp_##name(MP_NEW, xx, n)); \
372 end: \
373 MP_DROP(xx); MP_DROP(yy); \
374 return (z); \
375 }
376SHIFTOP(mp, lsl2c, lsr2c)
377SHIFTOP(mp, lsr2c, lsl2c)
378SHIFTOP(gf, lsl, lsr)
379SHIFTOP(gf, lsr, lsl)
380#undef SHIFTOP
381
382#define DIVOP(pre, name, qq, rr, gather) \
383 static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \
384 mp *xx, *yy; \
385 PyObject *z = 0; \
386 INIT_##qq(q) INIT_##rr(r) \
bf8910bd 387 if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
d7ab1bab 388 if (MP_ZEROP(yy)) \
389 ZDIVERR("division by zero"); \
390 pre##_div(ARG_##qq(q), ARG_##rr(r), xx, yy); \
391 z = gather; \
392 end: \
393 MP_DROP(xx); MP_DROP(yy); \
394 return (z); \
395 }
396#define INIT_YES(p) mp *p = MP_NEW;
397#define INIT_NO(p)
398#define ARG_YES(p) &p
399#define ARG_NO(p) 0
400DIVOP(mp, divmod, YES, YES,
401 Py_BuildValue("(NN)", mp_pywrap(q), mp_pywrap(r)))
402DIVOP(mp, div, YES, NO, mp_pywrap(q))
403DIVOP(mp, mod, NO, YES, mp_pywrap(r))
404DIVOP(gf, divmod, YES, YES,
405 Py_BuildValue("(NN)", gf_pywrap(q), gf_pywrap(r)))
406DIVOP(gf, div, YES, NO, gf_pywrap(q))
407DIVOP(gf, mod, NO, YES, gf_pywrap(r))
408#undef INIT_YES
409#undef INIT_NO
410#undef ARG_YES
411#undef ARG_NO
412#undef DIVOP
413
414static mp *mp_modinv_checked(mp *d, mp *x, mp *p)
415{
416 mp *g = MP_NEW;
417 mp_gcd(&g, 0, &d, p, x);
418 if (!MP_EQ(g, MP_ONE)) {
419 MP_DROP(g); MP_DROP(d);
420 PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse");
421 return (0);
422 }
423 MP_DROP(g); return (d);
424}
425
426static PyObject *mp_pyexp(PyObject *x, PyObject *y, PyObject *z)
427{
428 mp *xx = 0, *yy = 0, *zz = 0;
429 mp *r = 0;
430 PyObject *rc = 0;
431
bf8910bd 432 if ((xx = implicitmp(x)) == 0 || (yy = implicitmp(y)) == 0 ||
d7ab1bab 433 (z && z != Py_None && (zz = tomp(z)) == 0)) {
434 mp_drop(xx); mp_drop(yy); mp_drop(zz);
435 RETURN_NOTIMPL;
436 }
437 if (!z || z == Py_None) {
438 if (MP_NEGP(yy)) VALERR("negative exponent");
439 r = mp_exp(MP_NEW, xx, yy);
440 } else {
441 if (!MP_POSP(zz)) VALERR("modulus must be positive");
442 if (MP_NEGP(yy)) {
443 if ((xx = mp_modinv_checked(xx, xx, zz)) == 0) goto end;
444 yy = mp_neg(yy, yy);
445 }
446 if (MP_ODDP(zz)) {
447 mpmont mm;
448 mpmont_create(&mm, zz);
449 r = mpmont_exp(&mm, MP_NEW, xx, yy);
450 mpmont_destroy(&mm);
451 } else {
452 mpbarrett mb;
453 mpbarrett_create(&mb, zz);
454 r = mpbarrett_exp(&mb, MP_NEW, xx, yy);
455 mpbarrett_destroy(&mb);
456 }
457 }
458 rc = mp_pywrap(r);
459end:
460 mp_drop(xx); mp_drop(yy); mp_drop(zz);
461 return (rc);
462}
463
464static mp *gf_modinv_checked(mp *d, mp *x, mp *p)
465{
466 mp *g = MP_NEW;
467 gf_gcd(&g, 0, &d, p, x);
468 if (!MP_EQ(g, MP_ONE)) {
469 MP_DROP(g); MP_DROP(d);
470 PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse");
471 return (0);
472 }
473 MP_DROP(g); return (d);
474}
475
476#define BASEOP(name, radix, pre) \
477 static PyObject *mp_py##name(PyObject *x) \
478 { return mp_topystring(MP_X(x), radix, 0, pre, 0); }
479BASEOP(oct, 8, "0");
480BASEOP(hex, 16, "0x");
481#undef BASEOP
482
483static int mp_pynonzerop(PyObject *x) { return !MP_ZEROP(MP_X(x)); }
484
485static PyObject *mp_pyint(PyObject *x)
486{
487 long l;
488 if (mp_tolong_checked(MP_X(x), &l)) return (0);
489 return (PyInt_FromLong(l));
490}
491static PyObject *mp_pylong(PyObject *x)
f368b46e 492 { return (mp_topylong(MP_X(x))); }
d7ab1bab 493static PyObject *mp_pyfloat(PyObject *x)
494{
f368b46e 495 PyObject *l = mp_topylong(MP_X(x));
d7ab1bab 496 double f = PyLong_AsDouble(l);
497 Py_DECREF(l);
498 return (PyFloat_FromDouble(f));
499}
500
501#define COERCE(pre, PRE) \
502 static int pre##_pycoerce(PyObject **x, PyObject **y) \
503 { \
504 mp *z; \
505 \
506 if (PRE##_PYCHECK(*y)) { \
507 Py_INCREF(*x); Py_INCREF(*y); \
508 return (0); \
509 } \
510 if ((z = tomp(*y)) != 0) { \
511 Py_INCREF(*x); \
512 *y = pre##_pywrap(z); \
513 return (0); \
514 } \
515 return (1); \
516 }
517COERCE(mp, MP)
518COERCE(gf, GF)
519#undef COERCE
520
521static int mp_pycompare(PyObject *x, PyObject *y)
522 { return mp_cmp(MP_X(x), MP_X(y)); }
523
524static PyObject *mp_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
525{
526 PyObject *x;
527 mp *z;
528 mp_pyobj *zz = 0;
529 int radix = 0;
530 char *kwlist[] = { "x", "radix", 0 };
531
f368b46e 532 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:new", kwlist, &x, &radix))
d7ab1bab 533 goto end;
534 if (MP_PYCHECK(x)) RETURN_OBJ(x);
f368b46e 535 if (!good_radix_p(radix, 1)) VALERR("bad radix");
d7ab1bab 536 if ((z = mp_frompyobject(x, radix)) == 0) {
537 PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp",
538 x->ob_type->tp_name);
539 goto end;
540 }
541 zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
542 zz->x = z;
543end:
544 return ((PyObject *)zz);
545}
546
547static long mp_pyhash(PyObject *me)
548{
f368b46e
MW		 549 long h;
550 PyObject *l = mp_topylong(MP_X(me)); h = PyObject_Hash(l);
551 Py_DECREF(l); return (h);
d7ab1bab 552}
553
554static PyObject *mpmeth_jacobi(PyObject *me, PyObject *arg)
555{
556 mp *y = 0;
557 PyObject *z = 0;
558
559 if (!PyArg_ParseTuple(arg, "O&:jacobi", convmp, &y)) goto end;
f368b46e
MW		 560 if (MP_NEGP(MP_X(me)) || MP_EVENP(MP_X(me)))
561 VALERR("must be positive and odd");
d7ab1bab 562 z = PyInt_FromLong(mp_jacobi(y, MP_X(me)));
563end:
564 if (y) MP_DROP(y);
565 return (z);
566}
567
568#define BITOP(pre, name, c) \
569 static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \
570 { \
a1be89ad
MW		 571 unsigned long i; \
572 if (!PyArg_ParseTuple(arg, "O&:" #name, convulong, &i)) return (0); \
d7ab1bab 573 return (pre##_pywrap(mp_##name##c(MP_NEW, MP_X(me), i))); \
574 }
575BITOP(mp, setbit, 2c);
576BITOP(mp, clearbit, 2c);
577BITOP(gf, setbit, );
578BITOP(gf, clearbit, );
579#undef BITOP
580
581static PyObject *mpmeth_testbit(PyObject *me, PyObject *arg)
582{
a1be89ad
MW		 583 unsigned long i;
584 if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0);
d7ab1bab 585 return (getbool(mp_testbit2c(MP_X(me), i)));
586}
587
588static PyObject *gfmeth_testbit(PyObject *me, PyObject *arg)
589{
a1be89ad
MW		 590 unsigned long i;
591 if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0);
d7ab1bab 592 return (getbool(mp_testbit(MP_X(me), i)));
593}
594
595static PyObject *mpmeth_odd(PyObject *me, PyObject *arg)
596{
597 mp *t;
598 size_t s;
599
600 if (!PyArg_ParseTuple(arg, ":odd")) return (0);
601 t = mp_odd(MP_NEW, MP_X(me), &s);
602 return (Py_BuildValue("(lN)", (long)s, mp_pywrap(t)));
603}
604
605static PyObject *mpmeth_sqr(PyObject *me, PyObject *arg)
606{
607 if (!PyArg_ParseTuple(arg, ":sqr")) return (0);
608 return (mp_pywrap(mp_sqr(MP_NEW, MP_X(me))));
609}
610
611static PyObject *mpmeth_sqrt(PyObject *me, PyObject *arg)
612{
613 if (!PyArg_ParseTuple(arg, ":sqrt")) return (0);
614 if (MP_NEGP(MP_X(me))) VALERR("negative root");
615 return (mp_pywrap(mp_sqrt(MP_NEW, MP_X(me))));
616end:
617 return (0);
618}
619
620static PyObject *mpmeth_gcd(PyObject *me, PyObject *arg)
621{
622 mp *y = 0, *zz = MP_NEW;
623 PyObject *z = 0;
624
625 if (!PyArg_ParseTuple(arg, "O&:gcd", convmp, &y)) goto end;
626 mp_gcd(&zz, 0, 0, MP_X(me), y);
627 z = mp_pywrap(zz);
628end:
629 if (y) MP_DROP(y);
630 return (z);
631}
632
633static PyObject *mpmeth_gcdx(PyObject *me, PyObject *arg)
634{
635 PyObject *z = 0;
636 mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW;
637
638 if (!PyArg_ParseTuple(arg, "O&:gcdx", convmp, &yy)) goto end;
639 mp_gcd(&zz, &uu, &vv, MP_X(me), yy);
640 z = Py_BuildValue("(NNN)",
641 mp_pywrap(zz), mp_pywrap(uu), mp_pywrap(vv));
642end:
643 if (yy) MP_DROP(yy);
644 return (z);
645}
646
647static PyObject *mpmeth_modinv(PyObject *me, PyObject *arg)
648{
649 PyObject *z = 0;
650 mp *yy = 0, *zz = MP_NEW;
651
652 if (!PyArg_ParseTuple(arg, "O&:modinv", convmp, &yy) ||
653 (zz = mp_modinv_checked(MP_NEW, yy, MP_X(me))) == 0)
654 goto end;
655 z = mp_pywrap(zz);
656end:
657 if (yy) MP_DROP(yy);
658 return (z);
659}
660
661static PyObject *mpmeth_tostring(PyObject *me, PyObject *arg, PyObject *kw)
662{
663 int radix = 10;
664 char *kwlist[] = { "radix", 0 };
665 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:tostring", kwlist, &radix))
666 goto end;
f368b46e 667 if (!good_radix_p(radix, 0)) VALERR("bad radix");
d7ab1bab 668 return (mp_topystring(MP_X(me), radix, 0, 0, 0));
669end:
670 return (0);
671}
672
673static PyObject *mpmeth_modsqrt(PyObject *me, PyObject *arg)
674{
675 PyObject *z = 0;
676 mp *yy = 0, *zz = MP_NEW;
677
678 if (!PyArg_ParseTuple(arg, "O&:modsqrt", convmp, &yy)) goto end;
679 if ((zz = mp_modsqrt(MP_NEW, yy, MP_X(me))) == 0)
680 VALERR("no modular square root");
681 z = mp_pywrap(zz);
682end:
683 if (yy) MP_DROP(yy);
684 return (z);
685}
686
687#define STOREOP(name, c) \
688 static PyObject *mpmeth_##name(PyObject *me, \
689 PyObject *arg, PyObject *kw) \
690 { \
691 long len = -1; \
692 char *kwlist[] = { "len", 0 }; \
693 PyObject *rc = 0; \
694 \
695 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|l:" #name, \
696 kwlist, &len)) \
697 goto end; \
698 if (len < 0) { \
699 len = mp_octets##c(MP_X(me)); \
700 if (!len) len = 1; \
701 } \
702 rc = bytestring_pywrap(0, len); \
703 mp_##name(MP_X(me), PyString_AS_STRING(rc), len); \
704 end: \
705 return (rc); \
706 }
707STOREOP(storel, )
708STOREOP(storeb, )
709STOREOP(storel2c, 2c)
710STOREOP(storeb2c, 2c)
711#undef STOREOP
712
713#define BUFOP(ty, pyty) \
714 static PyObject *meth__##pyty##_frombuf(PyObject *me, PyObject *arg) \
715 { \
716 buf b; \
717 char *p; \
718 int sz; \
719 PyObject *rc = 0; \
720 mp *x; \
721 \
722 if (!PyArg_ParseTuple(arg, "Os#:frombuf", &me, &p, &sz)) goto end; \
723 buf_init(&b, p, sz); \
724 if ((x = buf_getmp(&b)) == 0) VALERR("malformed data"); \
725 rc = Py_BuildValue("(NN)", ty##_pywrap(x), \
726 bytestring_pywrapbuf(&b)); \
727 end: \
728 return (rc); \
729 }
730BUFOP(mp, MP)
731BUFOP(gf, GF)
732#undef BUFOP
733
734static PyObject *mpmeth_tobuf(PyObject *me, PyObject *arg)
735{
736 buf b;
737 PyObject *rc;
738 mp *x;
739 size_t n;
740
741 if (!PyArg_ParseTuple(arg, ":tobuf")) return (0);
742 x = MP_X(me);
743 n = mp_octets(x) + 3;
744 rc = bytestring_pywrap(0, n);
745 buf_init(&b, PyString_AS_STRING(rc), n);
746 buf_putmp(&b, x);
747 assert(BOK(&b));
748 _PyString_Resize(&rc, BLEN(&b));
749 return (rc);
750}
751
752static PyObject *mpmeth_primep(PyObject *me, PyObject *arg, PyObject *kw)
753{
754 grand *r = &rand_global;
755 char *kwlist[] = { "rng", 0 };
756 PyObject *rc = 0;
757
758 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&", kwlist, convgrand, &r))
759 goto end;
760 rc = getbool(pgen_primep(MP_X(me), r));
761end:
762 return (rc);
763}
764
765static PyObject *mpget_nbits(PyObject *me, void *hunoz)
766 { return (PyInt_FromLong(mp_bits(MP_X(me)))); }
767
768static PyObject *mpget_noctets(PyObject *me, void *hunoz)
769 { return (PyInt_FromLong(mp_octets(MP_X(me)))); }
770
771static PyObject *mpget_noctets2c(PyObject *me, void *hunoz)
772 { return (PyInt_FromLong(mp_octets2c(MP_X(me)))); }
773
774static PyGetSetDef mp_pygetset[] = {
775#define GETSETNAME(op, func) mp##op##_##func
776 GET (nbits, "X.nbits -> bit length of X")
777 GET (noctets, "X.noctets -> octet length of X")
778 GET (noctets2c, "X.noctets2c -> two's complement octet length of X")
779#undef GETSETNAME
780 { 0 }
781};
782
783static PyMethodDef mp_pymethods[] = {
784#define METHNAME(func) mpmeth_##func
785 METH (jacobi, "X.jacobi(Y) -> Jacobi symbol (Y/X) (NB inversion!)")
786 METH (setbit, "X.setbit(N) -> X with bit N set")
787 METH (clearbit, "X.clearbit(N) -> X with bit N clear")
788 METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
789 METH (odd, "X.odd() -> S, T where X = 2^S T with T odd")
790 METH (sqr, "X.sqr() -> X^2")
791 METH (sqrt, "X.sqrt() -> largest integer <= sqrt(X)")
792 METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
793 METH (gcdx,
794 "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
795 METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
796 METH (modsqrt, "X.modsqrt(Y) -> square root of Y mod X, if X prime")
797 KWMETH(primep, "X.primep(rng = rand) -> true/false if X is prime")
798 KWMETH(tostring, "X.tostring(radix = 10) -> STR")
799 KWMETH(storel, "X.storel(len = -1) -> little-endian bytes")
800 KWMETH(storeb, "X.storeb(len = -1) -> big-endian bytes")
801 KWMETH(storel2c,
802 "X.storel2c(len = -1) -> little-endian bytes, two's complement")
803 KWMETH(storeb2c,
804 "X.storeb2c(len = -1) -> big-endian bytes, two's complement")
805 METH (tobuf, "X.tobuf() -> buffer format")
806#undef METHNAME
807 { 0 }
808};
809
810static PyNumberMethods mp_pynumber = {
811 mp_pyadd, /* @nb_add@ */
812 mp_pysub, /* @nb_subtract@ */
813 mp_pymul, /* @nb_multiply@ */
814 0, /* @nb_divide@ */
815 mp_pymod, /* @nb_remainder@ */
816 mp_pydivmod, /* @nb_divmod@ */
817 mp_pyexp, /* @nb_power@ */
818 mp_pyneg, /* @nb_negative@ */
819 mp_pyid, /* @nb_positive@ */
820 mp_pyabs, /* @nb_absolute@ */
821 mp_pynonzerop, /* @nb_nonzero@ */
822 mp_pynot2c, /* @nb_invert@ */
823 mp_pylsl2c, /* @nb_lshift@ */
824 mp_pylsr2c, /* @nb_rshift@ */
825 mp_pyand2c, /* @nb_and@ */
826 mp_pyxor2c, /* @nb_xor@ */
827 mp_pyor2c, /* @nb_or@ */
828 mp_pycoerce, /* @nb_coerce@ */
829 mp_pyint, /* @nb_int@ */
830 mp_pylong, /* @nb_long@ */
831 mp_pyfloat, /* @nb_float@ */
832 mp_pyoct, /* @nb_oct@ */
833 mp_pyhex, /* @nb_hex@ */
834
835 0, /* @nb_inplace_add@ */
836 0, /* @nb_inplace_subtract@ */
837 0, /* @nb_inplace_multiply@ */
838 0, /* @nb_inplace_divide@ */
839 0, /* @nb_inplace_remainder@ */
840 0, /* @nb_inplace_power@ */
841 0, /* @nb_inplace_lshift@ */
842 0, /* @nb_inplace_rshift@ */
843 0, /* @nb_inplace_and@ */
844 0, /* @nb_inplace_xor@ */
845 0, /* @nb_inplace_or@ */
846
847 mp_pydiv, /* @nb_floor_divide@ */
848 0, /* @nb_true_divide@ */
849 0, /* @nb_inplace_floor_divide@ */
850 0, /* @nb_inplace_true_divide@ */
851};
852
853static PyTypeObject mp_pytype_skel = {
6d4db0bf 854 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 855 "catacomb.MP", /* @tp_name@ */
856 sizeof(mp_pyobj), /* @tp_basicsize@ */
857 0, /* @tp_itemsize@ */
858
859 mp_pydealloc, /* @tp_dealloc@ */
860 0, /* @tp_print@ */
861 0, /* @tp_getattr@ */
862 0, /* @tp_setattr@ */
863 mp_pycompare, /* @tp_compare@ */
864 mp_pyrepr, /* @tp_repr@ */
865 &mp_pynumber, /* @tp_as_number@ */
866 0, /* @tp_as_sequence@ */
867 0, /* @tp_as_mapping@ */
868 mp_pyhash, /* @tp_hash@ */
869 0, /* @tp_call@ */
870 mp_pystr, /* @tp_str@ */
871 0, /* @tp_getattro@ */
872 0, /* @tp_setattro@ */
873 0, /* @tp_as_buffer@ */
874 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
875 Py_TPFLAGS_CHECKTYPES |
876 Py_TPFLAGS_BASETYPE,
877
878 /* @tp_doc@ */
879"Multiprecision integers, similar to `long' but more efficient and\n\
880versatile. Support all the standard arithmetic operations.\n\
881\n\
882Constructor mp(X, radix = R) attempts to convert X to an `mp'. If\n\
883X is a string, it's read in radix-R form, or we look for a prefix\n\
884if R = 0. Other acceptable things are ints and longs.\n\
885\n\
886Notes:\n\
887\n\
888 * Use `//' for division. MPs don't have `/' division.",
889
890 0, /* @tp_traverse@ */
891 0, /* @tp_clear@ */
892 0, /* @tp_richcompare@ */
893 0, /* @tp_weaklistoffset@ */
894 0, /* @tp_iter@ */
963a6148 895 0, /* @tp_iternext@ */
d7ab1bab 896 mp_pymethods, /* @tp_methods@ */
897 0, /* @tp_members@ */
898 mp_pygetset, /* @tp_getset@ */
899 0, /* @tp_base@ */
900 0, /* @tp_dict@ */
901 0, /* @tp_descr_get@ */
902 0, /* @tp_descr_set@ */
903 0, /* @tp_dictoffset@ */
904 0, /* @tp_init@ */
905 PyType_GenericAlloc, /* @tp_alloc@ */
906 mp_pynew, /* @tp_new@ */
3aa33042 907 0, /* @tp_free@ */
d7ab1bab 908 0 /* @tp_is_gc@ */
909};
910
911static PyObject *meth__MP_fromstring(PyObject *me,
bf8910bd 912 PyObject *arg, PyObject *kw)
d7ab1bab 913{
914 int r = 0;
915 char *p;
916 int len;
917 PyObject *z = 0;
918 mp *zz;
919 mptext_stringctx sc;
920 char *kwlist[] = { "class", "x", "radix", 0 };
921
922 if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring",
923 kwlist, &me, &p, &len, &r))
924 goto end;
f368b46e 925 if (!good_radix_p(r, 1)) VALERR("bad radix");
d7ab1bab 926 sc.buf = p; sc.lim = p + len;
927 if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0)
928 SYNERR("bad integer");
929 z = Py_BuildValue("(Ns#)", mp_pywrap(zz), sc.buf, (int)(sc.lim - sc.buf));
930end:
931 return (z);
932}
933
32507e35
MW		 934#define LOADOP(pre, py, name) \
935 static PyObject *meth__##py##_##name(PyObject *me, PyObject *arg) \
936 { \
937 char *p; \
938 int len; \
939 if (!PyArg_ParseTuple(arg, "Os#:" #name, &me, &p, &len)) return (0); \
940 return (pre##_pywrap(mp_##name(MP_NEW, p, len))); \
941 }
942LOADOP(mp, MP, loadl)
943LOADOP(mp, MP, loadb)
944LOADOP(mp, MP, loadl2c)
945LOADOP(mp, MP, loadb2c)
946LOADOP(gf, GF, loadl)
947LOADOP(gf, GF, loadb)
948#undef LOADOP
949
950/*----- Products of small integers ----------------------------------------*/
951
952typedef struct mpmul_pyobj {
953 PyObject_HEAD
954 int livep;
955 mpmul mm;
956} mpmul_pyobj;
957
958#define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep)
959#define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm)
960
961static void mpmul_pydealloc(PyObject *me)
962{
963 if (MPMUL_LIVEP(me))
964 mp_drop(mpmul_done(MPMUL_PY(me)));
965 FREEOBJ(me);
966}
967
968static PyObject *mmmeth_factor(PyObject *me, PyObject *arg)
d7ab1bab 969{
d7ab1bab 970 PyObject *q, *i;
971 mp *x;
972
32507e35
MW		 973 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
974 if (PyTuple_Size(arg) != 1)
d7ab1bab 975 i = PyObject_GetIter(arg);
32507e35
MW		 976 else {
977 if ((q = PyTuple_GetItem(arg, 0)) == 0) goto end;
d7ab1bab 978 if ((i = PyObject_GetIter(q)) == 0) {
979 PyErr_Clear(); /* that's ok */
980 i = PyObject_GetIter(arg);
981 }
982 }
32507e35 983 if (!i) goto end;
d7ab1bab 984 while ((q = PyIter_Next(i)) != 0) {
985 x = getmp(q); Py_DECREF(q); if (!x) {
d7ab1bab 986 Py_DECREF(i);
32507e35 987 goto end;
d7ab1bab 988 }
32507e35 989 mpmul_add(MPMUL_PY(me), x);
d7ab1bab 990 MP_DROP(x);
991 }
d7ab1bab 992 Py_DECREF(i);
32507e35
MW		 993 RETURN_ME;
994end:
995 return (0);
996}
997
998static PyObject *mmmeth_done(PyObject *me, PyObject *arg)
999{
1000 mp *x;
1001
1002 if (!PyArg_ParseTuple(arg, ":done")) goto end;
1003 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
1004 x = mpmul_done(MPMUL_PY(me));
1005 MPMUL_LIVEP(me) = 0;
d7ab1bab 1006 return (mp_pywrap(x));
32507e35
MW		 1007end:
1008 return (0);
d7ab1bab 1009}
1010
32507e35
MW		 1011static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1012{
1013 mpmul_pyobj *mm;
1014
1015 if (kw) TYERR("keyword arguments not allowed here");
1016 mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0);
1017 mpmul_init(&mm->mm);
1018 mm->livep = 1;
1019 if (mmmeth_factor((PyObject *)mm, arg) == 0) {
1020 Py_DECREF(mm);
1021 goto end;
d7ab1bab 1022 }
32507e35
MW		 1023 return ((PyObject *)mm);
1024end:
1025 return (0);
1026}
1027
1028static PyObject *mmget_livep(PyObject *me, void *hunoz)
1029 { return (getbool(MPMUL_LIVEP(me))); }
1030
1031static PyGetSetDef mpmul_pygetset[] = {
1032#define GETSETNAME(op, name) mm##op##_##name
1033 GET (livep, "MM.livep -> flag: object still valid?")
1034#undef GETSETNAME
1035 { 0 }
1036};
1037
1038static PyMethodDef mpmul_pymethods[] = {
1039#define METHNAME(name) mmmeth_##name
1040 METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)")
1041 METH (done, "MM.done() -> PRODUCT")
1042#undef METHNAME
1043 { 0 }
1044};
1045
1046static PyTypeObject *mpmul_pytype, mpmul_pytype_skel = {
1047 PyObject_HEAD_INIT(0) 0, /* Header */
1048 "catacomb.MPMul", /* @tp_name@ */
1049 sizeof(mpmul_pyobj), /* @tp_basicsize@ */
1050 0, /* @tp_itemsize@ */
1051
1052 mpmul_pydealloc, /* @tp_dealloc@ */
1053 0, /* @tp_print@ */
1054 0, /* @tp_getattr@ */
1055 0, /* @tp_setattr@ */
1056 0, /* @tp_compare@ */
1057 0, /* @tp_repr@ */
1058 0, /* @tp_as_number@ */
1059 0, /* @tp_as_sequence@ */
1060 0, /* @tp_as_mapping@ */
1061 0, /* @tp_hash@ */
1062 0, /* @tp_call@ */
1063 0, /* @tp_str@ */
1064 0, /* @tp_getattro@ */
1065 0, /* @tp_setattro@ */
1066 0, /* @tp_as_buffer@ */
1067 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1068 Py_TPFLAGS_BASETYPE,
1069
1070 /* @tp_doc@ */
1071"An object for multiplying many small integers.",
1072
1073 0, /* @tp_traverse@ */
1074 0, /* @tp_clear@ */
1075 0, /* @tp_richcompare@ */
1076 0, /* @tp_weaklistoffset@ */
1077 0, /* @tp_iter@ */
1078 0, /* @tp_iternext@ */
1079 mpmul_pymethods, /* @tp_methods@ */
1080 0, /* @tp_members@ */
1081 mpmul_pygetset, /* @tp_getset@ */
1082 0, /* @tp_base@ */
1083 0, /* @tp_dict@ */
1084 0, /* @tp_descr_get@ */
1085 0, /* @tp_descr_set@ */
1086 0, /* @tp_dictoffset@ */
1087 0, /* @tp_init@ */
1088 PyType_GenericAlloc, /* @tp_alloc@ */
1089 mpmul_pynew, /* @tp_new@ */
1090 0, /* @tp_free@ */
1091 0 /* @tp_is_gc@ */
1092};
d7ab1bab 1093
1094/*----- Montgomery reduction ----------------------------------------------*/
1095
1096typedef struct mpmont_pyobj {
1097 PyObject_HEAD
1098 mpmont mm;
1099} mpmont_pyobj;
1100
1101#define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm)
1102
1103static PyObject *mmmeth_int(PyObject *me, PyObject *arg)
1104{
1105 PyObject *z = 0;
1106 mp *yy = 0;
1107 mpmont *mm = MPMONT_PY(me);
1108
1109 if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy))
1110 goto end;
1111 mp_div(0, &yy, yy, mm->m);
1112 z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2));
1113end:
1114 if (yy) MP_DROP(yy);
1115 return (z);
1116}
1117
1118static PyObject *mmmeth_mul(PyObject *me, PyObject *arg)
1119{
1120 PyObject *rc = 0;
1121 mp *yy = 0, *zz = 0;
1122
1123 if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz))
1124 goto end;
1125 rc = mp_pywrap(mpmont_mul(MPMONT_PY(me), MP_NEW, yy, zz));
1126end:
1127 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1128 return (rc);
1129}
1130
1131static PyObject *mmmeth_exp(PyObject *me, PyObject *arg)
1132{
1133 PyObject *rc = 0;
1134 mp *yy = 0, *zz = 0;
1135
1136 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1137 goto end;
1138 if (MP_NEGP(zz)) {
1139 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1140 zz = mp_neg(zz, zz);
1141 }
1142 rc = mp_pywrap(mpmont_exp(MPMONT_PY(me), MP_NEW, yy, zz));
1143end:
1144 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1145 return (rc);
1146}
1147
1148static PyObject *mmmeth_expr(PyObject *me, PyObject *arg)
1149{
1150 PyObject *rc = 0;
1151 mp *yy = 0, *zz = 0;
1152
1153 if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz))
1154 goto end;
1155 if (MP_NEGP(zz)) {
1156 yy = mpmont_reduce(MPMONT_PY(me), yy, yy);
1157 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1158 yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2);
1159 zz = mp_neg(zz, zz);
1160 }
1161 rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz));
1162end:
1163 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1164 return (rc);
1165}
1166
1167static PyObject *mm_mexpr_id(PyObject *me)
1168 { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); }
1169
1170static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1171{
1172 mp *xx = 0, *yy = 0;
1173 mp_expfactor *f = p;
1174 mpmont *mm = MPMONT_PY(me);
1175
1176 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1177 goto fail;
1178 if (MP_NEGP(yy)) {
1179 xx = mpmont_reduce(mm, xx, xx);
1180 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1181 goto fail;
1182 xx = mpmont_mul(mm, xx, xx, mm->r2);
1183 yy = mp_neg(yy, yy);
1184 }
1185 f->base = xx;
1186 f->exp = yy;
1187 return (0);
1188
1189fail:
1190 mp_drop(xx); mp_drop(yy);
1191 return (-1);
1192}
1193
1194static PyObject *mm_mexpr(PyObject *me, void *v, int n)
1195 { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); }
1196
1197static void mp_mexp_drop(void *p)
1198{
1199 mp_expfactor *f = p;
1200 mp_drop(f->base);
1201 mp_drop(f->exp);
1202}
1203
1204static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg)
1205{
1206 return mexp_common(me, arg, sizeof(mp_expfactor),
1207 mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop);
1208}
1209
1210static PyObject *mp_mexp_id(PyObject *me)
1211 { return mp_pywrap(MP_ONE); }
1212
1213static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1214{
1215 mp *xx = 0, *yy = 0;
1216 mp_expfactor *f = p;
1217
1218 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1219 goto fail;
1220 if (MP_NEGP(yy)) {
1221 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1222 goto fail;
1223 yy = mp_neg(yy, yy);
1224 }
1225 f->base = xx;
1226 f->exp = yy;
1227 return (0);
1228
1229fail:
1230 mp_drop(xx); mp_drop(yy);
1231 return (-1);
1232}
1233
1234static PyObject *mm_mexp(PyObject *me, void *v, int n)
1235 { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); }
1236
1237static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg)
1238{
1239 return mexp_common(me, arg, sizeof(mp_expfactor),
1240 mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop);
1241}
1242
1243#define mmmeth_ext mmmeth_reduce
1244static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg)
1245{
1246 PyObject *z = 0;
1247 mp *yy = 0;
1248
1249 if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end;
1250 z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy));
1251end:
1252 return (z);
1253}
1254
1255static void mpmont_pydealloc(PyObject *me)
1256{
1257 mpmont_destroy(MPMONT_PY(me));
3aa33042 1258 FREEOBJ(me);
d7ab1bab 1259}
1260
1261static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1262{
1263 mpmont_pyobj *mm = 0;
1264 char *kwlist[] = { "m", 0 };
1265 mp *xx = 0;
1266
1267 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1268 goto end;
1269 if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd");
1270 mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0);
1271 mpmont_create(&mm->mm, xx);
1272end:
1273 if (xx) MP_DROP(xx);
1274 return ((PyObject *)mm);
1275}
1276
1277static PyObject *mmget_m(PyObject *me, void *hunoz)
1278 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); }
1279
1280static PyObject *mmget_r(PyObject *me, void *hunoz)
1281 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); }
1282
1283static PyObject *mmget_r2(PyObject *me, void *hunoz)
1284 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); }
1285
1286static PyGetSetDef mpmont_pygetset[] = {
1287#define GETSETNAME(op, name) mm##op##_##name
1288 GET (m, "M.m -> modulus for reduction")
1289 GET (r, "M.r -> multiplicative identity")
1290 GET (r2, "M.r2 -> M.r^2, Montgomerization factor")
1291#undef GETSETNAME
1292 { 0 }
1293};
1294
1295static PyMethodDef mpmont_pymethods[] = {
1296#define METHNAME(name) mmmeth_##name
1297 METH (int, "M.out(X) -> XR")
1298 METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y")
1299 METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m")
1300 METH (mexpr, "\
1301B.mexp([(XR0, N0), (XR1, N1), ...]) = ZR where Z = X0^N0 X1^N1 mod B.m\n\
1302\t(the list may be flattened if this more convenient.)")
1303 METH (reduce, "M.reduce(XR) -> X")
1304 METH (ext, "M.ext(XR) -> X")
1305 METH (exp, "M.exp(X, N) -> X^N mod M.m")
1306 METH (mexp, "\
1307B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 mod B.m\n\
1308\t(the list may be flattened if this more convenient.)")
1309#undef METHNAME
1310 { 0 }
1311};
1312
1313static PyTypeObject *mpmont_pytype, mpmont_pytype_skel = {
6d4db0bf 1314 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 1315 "catacomb.MPMont", /* @tp_name@ */
1316 sizeof(mpmont_pyobj), /* @tp_basicsize@ */
1317 0, /* @tp_itemsize@ */
1318
1319 mpmont_pydealloc, /* @tp_dealloc@ */
1320 0, /* @tp_print@ */
1321 0, /* @tp_getattr@ */
1322 0, /* @tp_setattr@ */
1323 0, /* @tp_compare@ */
1324 0, /* @tp_repr@ */
1325 0, /* @tp_as_number@ */
1326 0, /* @tp_as_sequence@ */
1327 0, /* @tp_as_mapping@ */
1328 0, /* @tp_hash@ */
1329 0, /* @tp_call@ */
1330 0, /* @tp_str@ */
1331 0, /* @tp_getattro@ */
1332 0, /* @tp_setattro@ */
1333 0, /* @tp_as_buffer@ */
1334 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1335 Py_TPFLAGS_BASETYPE,
1336
1337 /* @tp_doc@ */
1338"A Montgomery reduction context.",
1339
1340 0, /* @tp_traverse@ */
1341 0, /* @tp_clear@ */
1342 0, /* @tp_richcompare@ */
1343 0, /* @tp_weaklistoffset@ */
1344 0, /* @tp_iter@ */
963a6148 1345 0, /* @tp_iternext@ */
d7ab1bab 1346 mpmont_pymethods, /* @tp_methods@ */
1347 0, /* @tp_members@ */
1348 mpmont_pygetset, /* @tp_getset@ */
1349 0, /* @tp_base@ */
1350 0, /* @tp_dict@ */
1351 0, /* @tp_descr_get@ */
1352 0, /* @tp_descr_set@ */
1353 0, /* @tp_dictoffset@ */
1354 0, /* @tp_init@ */
1355 PyType_GenericAlloc, /* @tp_alloc@ */
1356 mpmont_pynew, /* @tp_new@ */
3aa33042 1357 0, /* @tp_free@ */
d7ab1bab 1358 0 /* @tp_is_gc@ */
1359};
1360
1361/*----- Barrett reduction -------------------------------------------------*/
1362
1363typedef struct mpbarrett_pyobj {
1364 PyObject_HEAD
1365 mpbarrett mb;
1366} mpbarrett_pyobj;
1367
1368#define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb)
1369
1370static PyObject *mbmeth_exp(PyObject *me, PyObject *arg)
1371{
1372 PyObject *rc = 0;
1373 mp *yy = 0, *zz = 0;
1374
1375 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1376 goto end;
1377 if (MP_NEGP(zz)) {
1378 if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end;
1379 zz = mp_neg(zz, zz);
1380 }
1381 rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz));
1382end:
1383 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1384 return (rc);
1385}
1386
1387static PyObject *mb_mexp(PyObject *me, void *v, int n)
1388 { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); }
1389
1390static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg)
1391{
1392 return mexp_common(me, arg, sizeof(mp_expfactor),
1393 mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop);
1394}
1395
1396static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg)
1397{
1398 PyObject *z = 0;
1399 mp *yy = 0;
1400
1401 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy))
1402 goto end;
1403 z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy));
1404end:
1405 return (z);
1406}
1407
1408static void mpbarrett_pydealloc(PyObject *me)
1409{
1410 mpbarrett_destroy(MPBARRETT_PY(me));
3aa33042 1411 FREEOBJ(me);
d7ab1bab 1412}
1413
1414static PyObject *mpbarrett_pynew(PyTypeObject *ty,
1415 PyObject *arg, PyObject *kw)
1416{
1417 mpbarrett_pyobj *mb = 0;
1418 char *kwlist[] = { "m", 0 };
1419 mp *xx = 0;
1420
1421 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1422 goto end;
1423 if (!MP_POSP(xx)) VALERR("m must be positive");
1424 mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0);
1425 mpbarrett_create(&mb->mb, xx);
1426end:
1427 if (xx) MP_DROP(xx);
1428 return ((PyObject *)mb);
1429}
1430
1431static PyObject *mbget_m(PyObject *me, void *hunoz)
1432 { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); }
1433
1434static PyGetSetDef mpbarrett_pygetset[] = {
1435#define GETSETNAME(op, name) mb##op##_##name
1436 GET (m, "B.m -> modulus for reduction")
1437#undef GETSETNAME
1438 { 0 }
1439};
1440
1441static PyMethodDef mpbarrett_pymethods[] = {
1442#define METHNAME(name) mbmeth_##name
1443 METH (reduce, "B.reduce(X) -> X mod B.m")
1444 METH (exp, "B.exp(X, N) -> X^N mod B.m")
1445 METH (mexp, "\
1446B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 mod B.m\n\
1447\t(the list may be flattened if this more convenient.)")
1448#undef METHNAME
1449 { 0 }
1450};
1451
1452static PyTypeObject *mpbarrett_pytype, mpbarrett_pytype_skel = {
6d4db0bf 1453 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 1454 "catacomb.MPBarrett", /* @tp_name@ */
1455 sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */
1456 0, /* @tp_itemsize@ */
1457
1458 mpbarrett_pydealloc, /* @tp_dealloc@ */
1459 0, /* @tp_print@ */
1460 0, /* @tp_getattr@ */
1461 0, /* @tp_setattr@ */
1462 0, /* @tp_compare@ */
1463 0, /* @tp_repr@ */
1464 0, /* @tp_as_number@ */
1465 0, /* @tp_as_sequence@ */
1466 0, /* @tp_as_mapping@ */
1467 0, /* @tp_hash@ */
1468 0, /* @tp_call@ */
1469 0, /* @tp_str@ */
1470 0, /* @tp_getattro@ */
1471 0, /* @tp_setattro@ */
1472 0, /* @tp_as_buffer@ */
1473 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1474 Py_TPFLAGS_BASETYPE,
1475
1476 /* @tp_doc@ */
1477"A Barrett reduction context.",
1478
1479 0, /* @tp_traverse@ */
1480 0, /* @tp_clear@ */
1481 0, /* @tp_richcompare@ */
1482 0, /* @tp_weaklistoffset@ */
1483 0, /* @tp_iter@ */
963a6148 1484 0, /* @tp_iternext@ */
d7ab1bab 1485 mpbarrett_pymethods, /* @tp_methods@ */
1486 0, /* @tp_members@ */
1487 mpbarrett_pygetset, /* @tp_getset@ */
1488 0, /* @tp_base@ */
1489 0, /* @tp_dict@ */
1490 0, /* @tp_descr_get@ */
1491 0, /* @tp_descr_set@ */
1492 0, /* @tp_dictoffset@ */
1493 0, /* @tp_init@ */
1494 PyType_GenericAlloc, /* @tp_alloc@ */
1495 mpbarrett_pynew, /* @tp_new@ */
3aa33042 1496 0, /* @tp_free@ */
d7ab1bab 1497 0 /* @tp_is_gc@ */
1498};
1499
1500/*----- Nice prime reduction ----------------------------------------------*/
1501
1502typedef struct mpreduce_pyobj {
1503 PyObject_HEAD
1504 mpreduce mr;
1505} mpreduce_pyobj;
1506
1507#define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr)
1508
1509static PyObject *mrmeth_exp(PyObject *me, PyObject *arg)
1510{
1511 PyObject *rc = 0;
1512 mp *yy = 0, *zz = 0;
1513
1514 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1515 goto end;
1516 if (MP_NEGP(zz)) {
1517 if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end;
1518 zz = mp_neg(zz, zz);
1519 }
1520 rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz));
1521end:
1522 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1523 return (rc);
1524}
1525
1526static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg)
1527{
1528 PyObject *z = 0;
1529 mp *yy = 0;
1530
1531 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end;
1532 z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy));
1533end:
1534 return (z);
1535}
1536
1537static void mpreduce_pydealloc(PyObject *me)
1538{
1539 mpreduce_destroy(MPREDUCE_PY(me));
3aa33042 1540 FREEOBJ(me);
d7ab1bab 1541}
1542
1543static PyObject *mpreduce_pynew(PyTypeObject *ty,
1544 PyObject *arg, PyObject *kw)
1545{
1546 mpreduce_pyobj *mr = 0;
1547 mpreduce r;
1548 char *kwlist[] = { "m", 0 };
1549 mp *xx = 0;
1550
1551 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1552 goto end;
1553 if (!MP_POSP(xx)) VALERR("m must be positive");
1554 if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)");
1555 mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0);
1556 mr->mr = r;
1557end:
1558 if (xx) MP_DROP(xx);
1559 return ((PyObject *)mr);
1560}
1561
1562static PyObject *mrget_m(PyObject *me, void *hunoz)
1563 { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); }
1564
1565static PyGetSetDef mpreduce_pygetset[] = {
1566#define GETSETNAME(op, name) mr##op##_##name
1567 GET (m, "R.m -> modulus for reduction")
1568#undef GETSETNAME
1569 { 0 }
1570};
1571
1572static PyMethodDef mpreduce_pymethods[] = {
1573#define METHNAME(name) mrmeth_##name
1574 METH (reduce, "R.reduce(X) -> X mod B.m")
1575 METH (exp, "R.exp(X, N) -> X^N mod B.m")
1576#undef METHNAME
1577 { 0 }
1578};
1579
1580static PyTypeObject *mpreduce_pytype, mpreduce_pytype_skel = {
6d4db0bf 1581 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 1582 "catacomb.MPReduce", /* @tp_name@ */
1583 sizeof(mpreduce_pyobj), /* @tp_basicsize@ */
1584 0, /* @tp_itemsize@ */
1585
1586 mpreduce_pydealloc, /* @tp_dealloc@ */
1587 0, /* @tp_print@ */
1588 0, /* @tp_getattr@ */
1589 0, /* @tp_setattr@ */
1590 0, /* @tp_compare@ */
1591 0, /* @tp_repr@ */
1592 0, /* @tp_as_number@ */
1593 0, /* @tp_as_sequence@ */
1594 0, /* @tp_as_mapping@ */
1595 0, /* @tp_hash@ */
1596 0, /* @tp_call@ */
1597 0, /* @tp_str@ */
1598 0, /* @tp_getattro@ */
1599 0, /* @tp_setattro@ */
1600 0, /* @tp_as_buffer@ */
1601 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1602 Py_TPFLAGS_BASETYPE,
1603
1604 /* @tp_doc@ */
1605"A reduction context for reduction modulo primes of special form.",
1606
1607 0, /* @tp_traverse@ */
1608 0, /* @tp_clear@ */
1609 0, /* @tp_richcompare@ */
1610 0, /* @tp_weaklistoffset@ */
1611 0, /* @tp_iter@ */
963a6148 1612 0, /* @tp_iternext@ */
d7ab1bab 1613 mpreduce_pymethods, /* @tp_methods@ */
1614 0, /* @tp_members@ */
1615 mpreduce_pygetset, /* @tp_getset@ */
1616 0, /* @tp_base@ */
1617 0, /* @tp_dict@ */
1618 0, /* @tp_descr_get@ */
1619 0, /* @tp_descr_set@ */
1620 0, /* @tp_dictoffset@ */
1621 0, /* @tp_init@ */
1622 PyType_GenericAlloc, /* @tp_alloc@ */
1623 mpreduce_pynew, /* @tp_new@ */
3aa33042 1624 0, /* @tp_free@ */
d7ab1bab 1625 0 /* @tp_is_gc@ */
1626};
1627
1628/*----- Chinese Remainder Theorem solution --------------------------------*/
1629
1630typedef struct mpcrt_pyobj {
1631 PyObject_HEAD
1632 mpcrt c;
1633} mpcrt_pyobj;
1634
1635#define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c)
1636
1637static PyObject *mcmeth_solve(PyObject *me, PyObject *arg)
1638{
1639 mpcrt *c = MPCRT_PY(me);
1640 PyObject *q = 0, *x, *z = 0;
1641 mp *xx;
1642 mp **v = 0;
1643 int i = 0, n = c->k;
1644
1645 Py_INCREF(me);
1646 if (PyTuple_Size(arg) == n)
1647 q = arg;
1648 else if (!PyArg_ParseTuple(arg, "O:solve", &q))
1649 goto end;
1650 Py_INCREF(q);
1651 if (!PySequence_Check(q)) TYERR("want a sequence of residues");
1652 if (PySequence_Size(q) != n) VALERR("residue count mismatch");
1653 v = xmalloc(n * sizeof(*v));
1654 for (i = 0; i < n; i++) {
1655 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1656 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1657 v[i] = xx;
1658 }
1659 z = mp_pywrap(mpcrt_solve(c, MP_NEW, v));
1660end:
1661 if (v) {
1662 n = i;
1663 for (i = 0; i < n; i++)
1664 MP_DROP(v[i]);
1665 xfree(v);
1666 }
1667 Py_DECREF(me);
1668 Py_XDECREF(q);
1669 return (z);
1670}
1671
1672static void mpcrt_pydealloc(PyObject *me)
1673{
1674 mpcrt *c = MPCRT_PY(me);
1675 mpcrt_destroy(c);
1676 xfree(c->v);
1677}
1678
1679static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1680{
1681 mpcrt_mod *v = 0;
1682 int n, i = 0;
1683 char *kwlist[] = { "mv", 0 };
1684 PyObject *q = 0, *x;
1685 mp *xx;
1686 mpcrt_pyobj *c = 0;
1687
1688 if (PyTuple_Size(arg) > 1)
1689 q = arg;
1690 else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", kwlist, &q))
1691 goto end;
1692 Py_INCREF(q);
1693 if (!PySequence_Check(q)) TYERR("want a sequence of moduli");
1694 n = PySequence_Size(q);
1695 if (PyErr_Occurred()) goto end;
1696 if (!n) VALERR("want at least one modulus");
1697 v = xmalloc(n * sizeof(*v));
1698 for (i = 0; i < n; i++) {
1699 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1700 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1701 v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0;
1702 }
1703 c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0);
1704 mpcrt_create(&c->c, v, n, 0);
1705 Py_DECREF(q);
1706 return ((PyObject *)c);
1707
1708end:
1709 if (v) {
1710 n = i;
1711 for (i = 0; i < n; i++)
1712 MP_DROP(v[i].m);
1713 xfree(v);
1714 }
1715 Py_XDECREF(q);
1716 return (0);
1717}
1718
1719static PyObject *mcget_product(PyObject *me, void *hunoz)
1720 { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); }
1721
1722static PyObject *mcget_moduli(PyObject *me, void *hunoz)
1723{
1724 int i;
1725 PyObject *q;
1726 mpcrt *c = MPCRT_PY(me);
1727
1728 if ((q = PyList_New(c->k)) == 0) return (0);
1729 for (i = 0; i < c->k; i++)
1730 PyList_SetItem(q, i, mp_pywrap(c->v[i].m));
1731 return (q);
1732}
1733
1734static PyGetSetDef mpcrt_pygetset[] = {
1735#define GETSETNAME(op, name) mc##op##_##name
1736 GET (product, "C.product -> product of moduli")
1737 GET (moduli, "C.moduli -> list of individual moduli")
1738#undef GETSETNAME
1739 { 0 }
1740};
1741
1742static PyMethodDef mpcrt_pymethods[] = {
1743#define METHNAME(name) mcmeth_##name
1744 METH (solve, "C.solve([R0, R1]) -> X mod C.product")
1745#undef METHNAME
1746 { 0 }
1747};
1748
1749static PyTypeObject *mpcrt_pytype, mpcrt_pytype_skel = {
6d4db0bf 1750 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 1751 "catacomb.MPCRT", /* @tp_name@ */
1752 sizeof(mpcrt_pyobj), /* @tp_basicsize@ */
1753 0, /* @tp_itemsize@ */
1754
1755 mpcrt_pydealloc, /* @tp_dealloc@ */
1756 0, /* @tp_print@ */
1757 0, /* @tp_getattr@ */
1758 0, /* @tp_setattr@ */
1759 0, /* @tp_compare@ */
1760 0, /* @tp_repr@ */
1761 0, /* @tp_as_number@ */
1762 0, /* @tp_as_sequence@ */
1763 0, /* @tp_as_mapping@ */
1764 0, /* @tp_hash@ */
1765 0, /* @tp_call@ */
1766 0, /* @tp_str@ */
1767 0, /* @tp_getattro@ */
1768 0, /* @tp_setattro@ */
1769 0, /* @tp_as_buffer@ */
1770 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1771 Py_TPFLAGS_BASETYPE,
1772
1773 /* @tp_doc@ */
1774"A context for the solution of Chinese Remainder Theorem problems.",
1775
1776 0, /* @tp_traverse@ */
1777 0, /* @tp_clear@ */
1778 0, /* @tp_richcompare@ */
1779 0, /* @tp_weaklistoffset@ */
1780 0, /* @tp_iter@ */
963a6148 1781 0, /* @tp_iternext@ */
d7ab1bab 1782 mpcrt_pymethods, /* @tp_methods@ */
1783 0, /* @tp_members@ */
1784 mpcrt_pygetset, /* @tp_getset@ */
1785 0, /* @tp_base@ */
1786 0, /* @tp_dict@ */
1787 0, /* @tp_descr_get@ */
1788 0, /* @tp_descr_set@ */
1789 0, /* @tp_dictoffset@ */
1790 0, /* @tp_init@ */
1791 PyType_GenericAlloc, /* @tp_alloc@ */
1792 mpcrt_pynew, /* @tp_new@ */
3aa33042 1793 0, /* @tp_free@ */
d7ab1bab 1794 0 /* @tp_is_gc@ */
1795};
1796
1797/*----- Binary polynomials ------------------------------------------------*/
1798
1799static PyObject *gf_pyrepr(PyObject *o)
1800 { return mp_topystring(MP_X(o), 16, "GF(", "0x", "L)"); }
1801
1802static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op)
1803{
1804 mp *xx, *yy;
1805 int xl, yl;
1806 int b;
1807
bf8910bd 1808 if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL;
d7ab1bab 1809 switch (op) {
1810 case Py_EQ: b = MP_EQ(xx, yy); break;
1811 case Py_NE: b = !MP_EQ(xx, yy); break;
1812 default:
1813 xl = mp_bits(xx);
1814 yl = mp_bits(yy);
1815 switch (op) {
1816 case Py_LT: b = xl < yl; break;
1817 case Py_LE: b = xl <= yl; break;
1818 case Py_GT: b = xl > yl; break;
1819 case Py_GE: b = xl >= yl; break;
1820 default: abort();
1821 }
1822 break;
1823 }
1824 MP_DROP(xx); MP_DROP(yy);
1825 return (getbool(b));
1826}
1827
1828static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1829{
1830 PyObject *x;
1831 mp *z;
1832 mp_pyobj *zz = 0;
1833 int radix = 0;
1834 char *kwlist[] = { "x", "radix", 0 };
1835
1836 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", kwlist, &x, &radix))
1837 goto end;
1838 if (GF_PYCHECK(x)) RETURN_OBJ(x);
f368b46e 1839 if (!good_radix_p(radix, 1)) VALERR("radix out of range");
d7ab1bab 1840 if ((z = mp_frompyobject(x, radix)) == 0) {
1841 PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf",
1842 x->ob_type->tp_name);
1843 goto end;
1844 }
1845 if (MP_NEGP(z)) {
1846 MP_DROP(z);
1847 VALERR("gf cannot be negative");
1848 }
1849 zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
1850 zz->x = z;
1851end:
1852 return ((PyObject *)zz);
1853}
1854
1855static long gf_pyhash(PyObject *me)
1856{
1857 long i = mp_tolong(MP_X(me));
1858 i ^= 0xc7ecd67c; /* random perturbance */
1859 if (i == -1)
1860 i = -2;
1861 return (i);
1862}
1863
1864static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z)
1865{
1866 mp *xx = 0, *yy = 0, *zz = 0;
1867 mp *r = 0;
1868 PyObject *rc = 0;
1869
1870 if ((xx = tomp(x)) == 0 || (yy = tomp(y)) == 0 ||
1871 (z && z != Py_None && (zz = tomp(z)) == 0)) {
1872 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1873 RETURN_NOTIMPL;
1874 }
1875 if (!z || z == Py_None) {
1876 if (MP_NEGP(yy)) VALERR("negative exponent");
1877 r = gf_exp(MP_NEW, xx, yy);
1878 } else {
1879 gfreduce gr;
1880 if (MP_ZEROP(zz)) ZDIVERR("zero modulus");
1881 if (MP_NEGP(yy)) {
1882 if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end;
1883 yy = mp_neg(yy, yy);
1884 }
1885 gfreduce_create(&gr, zz);
1886 r = gfreduce_exp(&gr, MP_NEW, xx, yy);
1887 gfreduce_destroy(&gr);
1888 }
1889 rc = gf_pywrap(r);
1890end:
1891 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1892 return (rc);
1893}
1894
1895static PyObject *gfmeth_sqr(PyObject *me, PyObject *arg)
1896{
1897 if (!PyArg_ParseTuple(arg, ":sqr")) return (0);
1898 return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me))));
1899}
1900
1901static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg)
1902{
1903 PyObject *z = 0;
1904 mp *yy = 0, *zz = MP_NEW;
1905
1906 if (!PyArg_ParseTuple(arg, "O&:gcd", convgf, &yy)) goto end;
1907 gf_gcd(&zz, 0, 0, MP_X(me), yy);
1908 z = gf_pywrap(zz);
1909end:
1910 if (yy) MP_DROP(yy);
1911 return (z);
1912}
1913
1914static PyObject *gfmeth_gcdx(PyObject *me, PyObject *arg)
1915{
1916 PyObject *z = 0;
1917 mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW;
1918
1919 if (!PyArg_ParseTuple(arg, "O&:gcdx", convgf, &yy))
1920 goto end;
1921 gf_gcd(&zz, &uu, &vv, MP_X(me), yy);
1922 z = Py_BuildValue("(NNN)",
1923 gf_pywrap(zz), gf_pywrap(uu), gf_pywrap(vv));
1924end:
1925 if (yy) MP_DROP(yy);
1926 return (z);
1927}
1928
1929static PyObject *gfmeth_modinv(PyObject *me, PyObject *arg)
1930{
1931 PyObject *z = 0;
1932 mp *yy = 0, *zz = MP_NEW;
1933
1934 if (!PyArg_ParseTuple(arg, "O&:modinv", convgf, &yy) ||
1935 (zz = gf_modinv_checked(MP_NEW, yy, MP_X(me))) == 0)
1936 goto end;
1937 z = gf_pywrap(zz);
1938end:
1939 if (yy) MP_DROP(yy);
1940 return (z);
1941}
1942
1943static PyObject *gfmeth_irreduciblep(PyObject *me, PyObject *arg)
1944{
1945 if (!PyArg_ParseTuple(arg, ":irreduciblep")) return (0);
1946 return getbool(gf_irreduciblep(MP_X(me)));
1947}
1948
1949static PyObject *gfget_degree(PyObject *me, void *hunoz)
1950 { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); }
1951
1952static PyGetSetDef gf_pygetset[] = {
1953#define GETSETNAME(op, name) gf##op##_##name
1954 GET (degree, "X.degree -> polynomial degree of X")
1955#undef GETSETNAME
1956#define GETSETNAME(op, name) mp##op##_##name
1957 GET (nbits, "X.nbits -> bit length of X")
1958 GET (noctets, "X.noctets -> octet length of X")
1959#undef GETSETNAME
1960 { 0 }
1961};
1962
1963static PyMethodDef gf_pymethods[] = {
1964#define METHNAME(func) gfmeth_##func
1965 METH (setbit, "X.setbit(N) -> X with bit N set")
1966 METH (clearbit, "X.clearbit(N) -> X with bit N clear")
1967 METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
1968 METH (sqr, "X.sqr() -> X^2")
1969 METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
1970 METH (gcdx,
1971 "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
1972 METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
1973 METH (irreduciblep, "X.irreduciblep() -> true/false")
1974#undef METHNAME
1975#define METHNAME(func) mpmeth_##func
1976 KWMETH(tostring, "X.tostring(radix = 10) -> STR")
1977 KWMETH(storel, "X.storel(len = -1) -> little-endian bytes")
1978 KWMETH(storeb, "X.storeb(len = -1) -> big-endian bytes")
1979 KWMETH(storel2c,
1980 "X.storel2c(len = -1) -> little-endian bytes, two's complement")
1981 KWMETH(storeb2c,
1982 "X.storeb2c(len = -1) -> big-endian bytes, two's complement")
1983 METH (tobuf, "X.tobuf() -> buffer format")
1984#undef METHNAME
1985 { 0 }
1986};
1987
1988static PyNumberMethods gf_pynumber = {
1989 gf_pyadd, /* @nb_add@ */
1990 gf_pysub, /* @nb_subtract@ */
1991 gf_pymul, /* @nb_multiply@ */
1992 0, /* @nb_divide@ */
1993 gf_pymod, /* @nb_remainder@ */
1994 gf_pydivmod, /* @nb_divmod@ */
1995 gf_pyexp, /* @nb_power@ */
1996 mp_pyid, /* @nb_negative@ */
1997 mp_pyid, /* @nb_positive@ */
1998 mp_pyid, /* @nb_absolute@ */
1999 mp_pynonzerop, /* @nb_nonzero@ */
2000 0 /* doesn't make any sense */, /* @nb_invert@ */
2001 gf_pylsl, /* @nb_lshift@ */
2002 gf_pylsr, /* @nb_rshift@ */
2003 gf_pyand, /* @nb_and@ */
2004 gf_pyxor, /* @nb_xor@ */
2005 gf_pyor, /* @nb_or@ */
2006 gf_pycoerce, /* @nb_coerce@ */
2007 mp_pyint, /* @nb_int@ */
2008 mp_pylong, /* @nb_long@ */
2009 0 /* doesn't make any sense */, /* @nb_float@ */
2010 mp_pyoct, /* @nb_oct@ */
2011 mp_pyhex, /* @nb_hex@ */
2012
2013 0, /* @nb_inplace_add@ */
2014 0, /* @nb_inplace_subtract@ */
2015 0, /* @nb_inplace_multiply@ */
2016 0, /* @nb_inplace_divide@ */
2017 0, /* @nb_inplace_remainder@ */
2018 0, /* @nb_inplace_power@ */
2019 0, /* @nb_inplace_lshift@ */
2020 0, /* @nb_inplace_rshift@ */
2021 0, /* @nb_inplace_and@ */
2022 0, /* @nb_inplace_xor@ */
2023 0, /* @nb_inplace_or@ */
2024
2025 gf_pydiv, /* @nb_floor_divide@ */
2026 0, /* @nb_true_divide@ */
2027 0, /* @nb_inplace_floor_divide@ */
2028 0, /* @nb_inplace_true_divide@ */
2029};
2030
2031static PyTypeObject gf_pytype_skel = {
6d4db0bf 2032 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 2033 "catacomb.GF", /* @tp_name@ */
2034 sizeof(mp_pyobj), /* @tp_basicsize@ */
2035 0, /* @tp_itemsize@ */
2036
2037 mp_pydealloc, /* @tp_dealloc@ */
2038 0, /* @tp_print@ */
2039 0, /* @tp_getattr@ */
2040 0, /* @tp_setattr@ */
2041 0, /* @tp_compare@ */
2042 gf_pyrepr, /* @tp_repr@ */
2043 &gf_pynumber, /* @tp_as_number@ */
2044 0, /* @tp_as_sequence@ */
2045 0, /* @tp_as_mapping@ */
2046 gf_pyhash, /* @tp_hash@ */
2047 0, /* @tp_call@ */
2048 mp_pyhex, /* @tp_str@ */
2049 0, /* @tp_getattro@ */
2050 0, /* @tp_setattro@ */
2051 0, /* @tp_as_buffer@ */
2052 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2053 Py_TPFLAGS_CHECKTYPES |
2054 Py_TPFLAGS_BASETYPE,
2055
2056 /* @tp_doc@ */
2057"Binary polynomials. Support almost all the standard arithmetic\n\
2058operations.\n\
2059\n\
2060Constructor gf(X, radix = R) attempts to convert X to a `gf'. If\n\
2061X is a string, it's read in radix-R form, or we look for a prefix\n\
2062if R = 0. Other acceptable things are ints and longs.\n\
2063\n\
2064The name is hopelessly wrong from a technical point of view, but\n\
2065but it's much easier to type than `p2' or `c2' or whatever.\n\
2066\n\
2067Notes:\n\
2068\n\
2069 * Use `//' for division. GFs don't have `/' division.",
2070
2071 0, /* @tp_traverse@ */
2072 0, /* @tp_clear@ */
2073 gf_pyrichcompare, /* @tp_richcompare@ */
2074 0, /* @tp_weaklistoffset@ */
2075 0, /* @tp_iter@ */
963a6148 2076 0, /* @tp_iternext@ */
d7ab1bab 2077 gf_pymethods, /* @tp_methods@ */
2078 0, /* @tp_members@ */
2079 gf_pygetset, /* @tp_getset@ */
2080 0, /* @tp_base@ */
2081 0, /* @tp_dict@ */
2082 0, /* @tp_descr_get@ */
2083 0, /* @tp_descr_set@ */
2084 0, /* @tp_dictoffset@ */
2085 0, /* @tp_init@ */
2086 PyType_GenericAlloc, /* @tp_alloc@ */
2087 gf_pynew, /* @tp_new@ */
3aa33042 2088 0, /* @tp_free@ */
d7ab1bab 2089 0 /* @tp_is_gc@ */
2090};
2091
2092static PyObject *meth__GF_fromstring(PyObject *me,
2093 PyObject *arg, PyObject *kw)
2094{
2095 int r = 0;
2096 char *p;
2097 int len;
2098 PyObject *z = 0;
2099 mp *zz;
2100 mptext_stringctx sc;
2101 char *kwlist[] = { "class", "x", "radix", 0 };
2102
2103 if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring",
2104 kwlist, &me, &p, &len, &r))
2105 goto end;
4b3890c7 2106 if (!good_radix_p(r, 1)) VALERR("bad radix");
d7ab1bab 2107 sc.buf = p; sc.lim = p + len;
4b3890c7
MW		 2108 if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 ||
2109 MP_NEGP(zz)) {
2110 if (zz) MP_DROP(zz);
2111 SYNERR("bad binary polynomial");
2112 }
2113 z = Py_BuildValue("(Ns#)", gf_pywrap(zz), sc.buf, (int)(sc.lim - sc.buf));
d7ab1bab 2114end:
2115 return (z);
2116}
2117
2118/*----- Sparse poly reduction ---------------------------------------------*/
2119
2120typedef struct gfreduce_pyobj {
2121 PyObject_HEAD
2122 gfreduce mr;
2123} gfreduce_pyobj;
2124
2125#define GFREDUCE_PY(o) (&((gfreduce_pyobj *)(o))->mr)
2126
2127static PyObject *grmeth_exp(PyObject *me, PyObject *arg)
2128{
2129 PyObject *rc = 0;
2130 mp *yy = 0, *zz = 0;
2131
2132 if (!PyArg_ParseTuple(arg, "O&O&:exp", convgf, &yy, convgf, &zz))
2133 goto end;
2134 if (MP_NEGP(zz)) {
2135 if ((yy = gf_modinv_checked(yy, yy, GFREDUCE_PY(me)->p)) == 0) goto end;
2136 zz = mp_neg(zz, zz);
2137 }
2138 rc = gf_pywrap(gfreduce_exp(GFREDUCE_PY(me), MP_NEW, yy, zz));
2139end:
2140 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
2141 return (rc);
2142}
2143
2144static PyObject *grmeth_reduce(PyObject *me, PyObject *arg)
2145{
2146 PyObject *z = 0;
2147 mp *yy = 0;
2148
2149 if (!PyArg_ParseTuple(arg, "O&:reduce", convgf, &yy)) goto end;
2150 z = gf_pywrap(gfreduce_do(GFREDUCE_PY(me), MP_NEW, yy));
2151end:
2152 return (z);
2153}
2154
2155static void gfreduce_pydealloc(PyObject *me)
2156{
2157 gfreduce_destroy(GFREDUCE_PY(me));
3aa33042 2158 FREEOBJ(me);
d7ab1bab 2159}
2160
2161static PyObject *gfreduce_pynew(PyTypeObject *ty,
2162 PyObject *arg, PyObject *kw)
2163{
2164 gfreduce_pyobj *mr = 0;
2165 gfreduce r;
2166 char *kwlist[] = { "m", 0 };
2167 mp *xx = 0;
2168
2169 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convgf, &xx))
2170 goto end;
2171 if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!");
2172 gfreduce_create(&r, xx);
2173 mr = (gfreduce_pyobj *)ty->tp_alloc(ty, 0);
2174 mr->mr = r;
2175end:
2176 if (xx) MP_DROP(xx);
2177 return ((PyObject *)mr);
2178}
2179
2180static PyObject *grget_m(PyObject *me, void *hunoz)
2181 { return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); }
2182
2183static PyGetSetDef gfreduce_pygetset[] = {
2184#define GETSETNAME(op, name) gr##op##_##name
2185 GET (m, "R.m -> reduction polynomial")
2186#undef GETSETNAME
2187 { 0 }
2188};
2189
2190static PyMethodDef gfreduce_pymethods[] = {
2191#define METHNAME(name) grmeth_##name
2192 METH (reduce, "R.reduce(X) -> X mod B.m")
2193 METH (exp, "R.exp(X, N) -> X^N mod B.m")
2194#undef METHNAME
2195 { 0 }
2196};
2197
2198static PyTypeObject *gfreduce_pytype, gfreduce_pytype_skel = {
6d4db0bf 2199 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 2200 "catacomb.GFReduce", /* @tp_name@ */
2201 sizeof(gfreduce_pyobj), /* @tp_basicsize@ */
2202 0, /* @tp_itemsize@ */
2203
2204 gfreduce_pydealloc, /* @tp_dealloc@ */
2205 0, /* @tp_print@ */
2206 0, /* @tp_getattr@ */
2207 0, /* @tp_setattr@ */
2208 0, /* @tp_compare@ */
2209 0, /* @tp_repr@ */
2210 0, /* @tp_as_number@ */
2211 0, /* @tp_as_sequence@ */
2212 0, /* @tp_as_mapping@ */
2213 0, /* @tp_hash@ */
2214 0, /* @tp_call@ */
2215 0, /* @tp_str@ */
2216 0, /* @tp_getattro@ */
2217 0, /* @tp_setattro@ */
2218 0, /* @tp_as_buffer@ */
2219 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2220 Py_TPFLAGS_BASETYPE,
2221
2222 /* @tp_doc@ */
2223"A reduction context for reduction modulo sparse irreducible polynomials.",
2224
2225 0, /* @tp_traverse@ */
2226 0, /* @tp_clear@ */
2227 0, /* @tp_richcompare@ */
2228 0, /* @tp_weaklistoffset@ */
2229 0, /* @tp_iter@ */
963a6148 2230 0, /* @tp_iternext@ */
d7ab1bab 2231 gfreduce_pymethods, /* @tp_methods@ */
2232 0, /* @tp_members@ */
2233 gfreduce_pygetset, /* @tp_getset@ */
2234 0, /* @tp_base@ */
2235 0, /* @tp_dict@ */
2236 0, /* @tp_descr_get@ */
2237 0, /* @tp_descr_set@ */
2238 0, /* @tp_dictoffset@ */
2239 0, /* @tp_init@ */
2240 PyType_GenericAlloc, /* @tp_alloc@ */
2241 gfreduce_pynew, /* @tp_new@ */
3aa33042 2242 0, /* @tp_free@ */
d7ab1bab 2243 0 /* @tp_is_gc@ */
2244};
2245
2246/*----- Normal/poly transformation ----------------------------------------*/
2247
2248typedef struct gfn_pyobj {
2249 PyObject_HEAD
2250 mp *p;
2251 gfn ntop, pton;
2252} gfn_pyobj;
2253
2254static PyTypeObject *gfn_pytype, gfn_pytype_skel;
2255
2256#define GFN_P(o) (((gfn_pyobj *)(o))->p)
2257#define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton)
2258#define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop)
2259
2260static PyObject *gfn_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
2261{
2262 mp *p = 0, *beta = 0;
2263 gfn_pyobj *gg = 0;
2264 char *kwlist[] = { "p", "beta", 0 };
2265
2266 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", kwlist,
2267 convgf, &p, convgf, &beta))
2268 goto end;
2269 gg = PyObject_New(gfn_pyobj, ty);
2270 if (gfn_create(p, beta, &gg->ntop, &gg->pton)) {
3aa33042 2271 FREEOBJ(gg);
d7ab1bab 2272 gg = 0;
2273 VALERR("can't invert transformation matrix");
2274 }
2275 gg->p = MP_COPY(p);
2276end:
2277 mp_drop(p);
2278 mp_drop(beta);
2279 return ((PyObject *)gg);
2280}
2281
2282static PyObject *gfnget_p(PyObject *me, void *hunoz)
2283 { return (gf_pywrap(MP_COPY(GFN_P(me)))); }
2284
2285static PyObject *gfnget_beta(PyObject *me, void *hunoz)
2286{
2287 gfn *n = GFN_NTOP(me);
2288 mp *x = n->r[n->n - 1];
2289 return (gf_pywrap(MP_COPY(x)));
2290}
2291
2292#define XFORMOP(name, NAME) \
2293 static PyObject *gfnmeth_##name(PyObject *me, PyObject *arg) \
2294 { \
2295 mp *xx = 0; \
2296 mp *z = 0; \
2297 \
2298 if (!PyArg_ParseTuple(arg, "O&:" #name, convgf, &xx)) goto end; \
2299 z = gfn_transform(GFN_##NAME(me), MP_NEW, xx); \
2300 end: \
2301 mp_drop(xx); \
2302 if (!z) return (0); \
2303 return (mp_pywrap(z)); \
2304 }
2305XFORMOP(pton, PTON)
2306XFORMOP(ntop, NTOP)
2307#undef XFORMOP
2308
2309static void gfn_pydealloc(PyObject *me)
2310{
2311 gfn_destroy(GFN_PTON(me));
2312 gfn_destroy(GFN_NTOP(me));
3aa33042 2313 FREEOBJ(me);
d7ab1bab 2314}
2315
2316static PyGetSetDef gfn_pygetset[] = {
2317#define GETSETNAME(op, name) gfn##op##_##name
2318 GET (p, "X.p -> polynomial basis, as polynomial")
2319 GET (beta, "X.beta -> normal basis element, in poly form")
2320#undef GETSETNAME
2321 { 0 }
2322};
2323
2324static PyMethodDef gfn_pymethods[] = {
2325#define METHNAME(name) gfnmeth_##name
2326 METH (pton, "X.pton(A) -> normal-basis representation of A")
2327 METH (ntop, "X.ntop(A) -> polynomial-basis representation of A")
2328#undef METHNAME
2329 { 0 }
2330};
2331
2332static PyTypeObject gfn_pytype_skel = {
6d4db0bf 2333 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 2334 "catacomb.GFN", /* @tp_name@ */
2335 sizeof(gfn_pyobj), /* @tp_basicsize@ */
2336 0, /* @tp_itemsize@ */
2337
2338 gfn_pydealloc, /* @tp_dealloc@ */
2339 0, /* @tp_print@ */
2340 0, /* @tp_getattr@ */
2341 0, /* @tp_setattr@ */
2342 0, /* @tp_compare@ */
2343 0, /* @tp_repr@ */
2344 0, /* @tp_as_number@ */
2345 0, /* @tp_as_sequence@ */
2346 0, /* @tp_as_mapping@ */
2347 0, /* @tp_hash@ */
2348 0, /* @tp_call@ */
2349 0, /* @tp_str@ */
2350 0, /* @tp_getattro@ */
2351 0, /* @tp_setattro@ */
2352 0, /* @tp_as_buffer@ */
2353 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2354 Py_TPFLAGS_BASETYPE,
2355
2356 /* @tp_doc@ */
2357"An object for transforming elements of binary fields between polynomial\n\
2358and normal basis representations.",
2359
2360 0, /* @tp_traverse@ */
2361 0, /* @tp_clear@ */
2362 0, /* @tp_richcompare@ */
2363 0, /* @tp_weaklistoffset@ */
2364 0, /* @tp_iter@ */
963a6148 2365 0, /* @tp_iternext@ */
d7ab1bab 2366 gfn_pymethods, /* @tp_methods@ */
2367 0, /* @tp_members@ */
2368 gfn_pygetset, /* @tp_getset@ */
2369 0, /* @tp_base@ */
2370 0, /* @tp_dict@ */
2371 0, /* @tp_descr_get@ */
2372 0, /* @tp_descr_set@ */
2373 0, /* @tp_dictoffset@ */
2374 0, /* @tp_init@ */
2375 PyType_GenericAlloc, /* @tp_alloc@ */
2376 gfn_pynew, /* @tp_new@ */
3aa33042 2377 0, /* @tp_free@ */
d7ab1bab 2378 0 /* @tp_is_gc@ */
2379};
2380
2381/*----- Glue --------------------------------------------------------------*/
2382
2383static PyMethodDef methods[] = {
2384#define METHNAME(func) meth_##func
2385 KWMETH(_MP_fromstring, "\
2386fromstring(STR, radix = 0) -> (X, REST)\n\
2387\n\
2388Parse STR as a large integer, according to radix. If radix is zero,\n\
2389read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\
2390or `R_' for other radix R.")
2391 KWMETH(_GF_fromstring, "\
2392fromstring(STR, radix = 0) -> (X, REST)\n\
2393\n\
2394Parse STR as a binary polynomial, according to radix. If radix is zero,\n\
2395read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\
2396or `R_' for other radix R.")
2397 METH (_MP_loadl, "\
2398loadl(STR) -> X: read little-endian bytes")
2399 METH (_MP_loadb, "\
2400loadb(STR) -> X: read big-endian bytes")
2401 METH (_MP_loadl2c, "\
2402loadl2c(STR) -> X: read little-endian bytes, two's complement")
2403 METH (_MP_loadb2c, "\
2404loadb2c(STR) -> X: read big-endian bytes, two's complement")
2405 METH (_MP_frombuf, "\
2406frombuf(STR) -> (X, REST): read buffer format")
d7ab1bab 2407 METH (_GF_loadl, "\
2408loadl(STR) -> X: read little-endian bytes")
2409 METH (_GF_loadb, "\
2410loadb(STR) -> X: read big-endian bytes")
2411 METH (_GF_frombuf, "\
2412frombuf(STR) -> (X, REST): read buffer format")
2413#undef METHNAME
2414 { 0 }
2415};
2416
2417void mp_pyinit(void)
2418{
2419 INITTYPE(mp, root);
2420 INITTYPE(gf, root);
32507e35 2421 INITTYPE(mpmul, root);
d7ab1bab 2422 INITTYPE(mpmont, root);
2423 INITTYPE(mpbarrett, root);
2424 INITTYPE(mpreduce, root);
2425 INITTYPE(mpcrt, root);
2426 INITTYPE(gfreduce, root);
2427 INITTYPE(gfn, root);
2428 addmethods(methods);
2429}
2430
2431void mp_pyinsert(PyObject *mod)
2432{
2433 INSERT("MP", mp_pytype);
32507e35 2434 INSERT("MPMul", mpmul_pytype);
d7ab1bab 2435 INSERT("MPMont", mpmont_pytype);
2436 INSERT("MPBarrett", mpbarrett_pytype);
2437 INSERT("MPReduce", mpreduce_pytype);
2438 INSERT("MPCRT", mpcrt_pytype);
2439 INSERT("GF", gf_pytype);
2440 INSERT("GFReduce", gfreduce_pytype);
2441 INSERT("GFN", gfn_pytype);
2442}
2443
2444/*----- That's all, folks -------------------------------------------------*/
Catacomb cryptographic library -- Python bindings