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