chiark / gitweb /
~mdw / catacomb-python / blame
? search:
summary | shortlog | log | commit | commitdiff | tree
blob | blame (incremental) | history | HEAD
algorithms.c: Add bindings for the key-strength conversion functions.
[catacomb-python] / mp.c
CommitLineData
d7ab1bab 1/* -*-c-*-
d7ab1bab 2 *
3 * Multiprecision arithmetic
4 *
5 * (c) 2004 Straylight/Edgeware
6 */
7
b2687a0a 8/*----- Licensing notice --------------------------------------------------*
d7ab1bab 9 *
10 * This file is part of the Python interface to Catacomb.
11 *
12 * Catacomb/Python is free software; you can redistribute it and/or modify
13 * it under the terms of the GNU General Public License as published by
14 * the Free Software Foundation; either version 2 of the License, or
15 * (at your option) any later version.
b2687a0a 16 *
d7ab1bab 17 * Catacomb/Python is distributed in the hope that it will be useful,
18 * but WITHOUT ANY WARRANTY; without even the implied warranty of
19 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
20 * GNU General Public License for more details.
b2687a0a 21 *
d7ab1bab 22 * You should have received a copy of the GNU General Public License
23 * along with Catacomb/Python; if not, write to the Free Software Foundation,
24 * Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
25 */
26
27/*----- Header files ------------------------------------------------------*/
28
29#include "catacomb-python.h"
30
31/*----- General utilities -------------------------------------------------*/
32
33PyTypeObject *mp_pytype = 0;
34PyTypeObject *gf_pytype = 0;
35
f368b46e 36mp *mp_frompylong(PyObject *obj)
d7ab1bab 37{
38 unsigned long bits;
f368b46e 39 PyLongObject *l = (PyLongObject *)obj;
d7ab1bab 40 int sz;
41 size_t w;
42 mpd r = 0;
43 int b = 0;
44 int i;
45 mp *x;
46 mpw *p;
47
48 sz = l->ob_size;
49 if (sz < 0) sz = -sz;
50 assert(MPW_BITS >= SHIFT);
51 bits = (unsigned long)sz * SHIFT;
52 w = (bits + MPW_BITS - 1)/MPW_BITS;
53 x = mp_new(w, l->ob_size < 0 ? MP_NEG : 0);
54 p = x->v;
55 for (i = 0; i < sz; i++) {
56 r |= (mpd)l->ob_digit[i] << b;
57 b += SHIFT;
58 while (b >= MPW_BITS) {
59 *p++ = MPW(r);
60 r >>= MPW_BITS;
61 b -= MPW_BITS;
62 }
63 }
64 while (r) {
65 *p++ = MPW(r);
66 r >>= MPW_BITS;
67 }
68 x->vl = p;
69 MP_SHRINK(x);
70 return (x);
71}
72
f368b46e 73PyObject *mp_topylong(mp *x)
d7ab1bab 74{
75 unsigned long bits = mp_bits(x);
76 int sz = (bits + SHIFT - 1)/SHIFT;
77 PyLongObject *l = _PyLong_New(sz);
78 mpd r = 0;
79 int b = 0;
80 mpw *p = x->v;
81 int i = 0;
82
83 assert(MPW_BITS >= SHIFT);
84 while (i < sz && p < x->vl) {
f368b46e 85 r |= (mpd)*p++ << b;
d7ab1bab 86 b += MPW_BITS;
87 while (i < sz && b >= SHIFT) {
88 l->ob_digit[i++] = r & MASK;
89 r >>= SHIFT;
90 b -= SHIFT;
91 }
92 }
93 while (i < sz && r) {
94 l->ob_digit[i++] = r & MASK;
95 r >>= SHIFT;
96 }
97 l->ob_size = (x->f & MP_NEG) ? -sz : sz;
f368b46e 98 return ((PyObject *)l);
d7ab1bab 99}
100
101mp *mp_frompyobject(PyObject *o, int radix)
102{
103 mp *x;
104
d7ab1bab 105 if (PyString_Check(o)) {
106 mptext_stringctx sc;
107 mp *x;
108 sc.buf = PyString_AS_STRING(o);
109 sc.lim = sc.buf + PyString_GET_SIZE(o);
110 x = mp_read(MP_NEW, radix, &mptext_stringops, &sc);
111 if (!x) return (0);
112 if (sc.buf < sc.lim) { MP_DROP(x); return (0); }
113 return (x);
114 }
f368b46e
MW		 115 if ((x = tomp(o)) != 0)
116 return (x);
d7ab1bab 117 return (0);
118}
119
120PyObject *mp_topystring(mp *x, int radix, const char *xpre,
121 const char *pre, const char *post)
122{
123 int len = mptext_len(x, radix) + 1;
124 mptext_stringctx sc;
125 PyObject *o;
126 size_t xprelen = xpre ? strlen(xpre) : 0;
127 size_t prelen = pre ? strlen(pre) : 0;
128 size_t postlen = post ? strlen(post) : 0;
129 char *p;
130 MP_COPY(x);
131 o = PyString_FromStringAndSize(0, len + 1 + xprelen + prelen + postlen);
132 p = PyString_AS_STRING(o);
133 sc.buf = p;
134 if (xpre) { memcpy(sc.buf, xpre, xprelen); sc.buf += xprelen; }
135 if (MP_NEGP(x)) { *sc.buf++ = '-'; x = mp_neg(x, x); }
136 if (pre) { memcpy(sc.buf, pre, prelen); sc.buf += prelen; }
137 sc.lim = sc.buf + len;
138 mp_write(x, radix, &mptext_stringops, &sc);
139 if (post) { memcpy(sc.buf, post, postlen); sc.buf += postlen; }
140 MP_DROP(x);
141 _PyString_Resize(&o, sc.buf - p);
142 return (o);
143}
144
f368b46e
MW		 145static int good_radix_p(int r, int readp)
146{
147 return ((r >= -255 && r <= -2) ||
148 (readp && r == 0) ||
149 (r >= 2 && r <= 62));
150}
151
d7ab1bab 152PyObject *mp_pywrap(mp *x)
153{
154 mp_pyobj *z = PyObject_New(mp_pyobj, mp_pytype);
155 z->x = x;
156 return ((PyObject *)z);
157}
158
159PyObject *gf_pywrap(mp *x)
160{
161 mp_pyobj *z = PyObject_New(mp_pyobj, gf_pytype);
162 z->x = x;
163 return ((PyObject *)z);
164}
165
166int mp_tolong_checked(mp *x, long *l)
167{
168 static mp *longmin = 0, *longmax = 0;
169 int rc = -1;
170
171 if (!longmax) {
172 longmin = mp_fromlong(MP_NEW, LONG_MIN);
173 longmax = mp_fromlong(MP_NEW, LONG_MAX);
174 }
175 if (MP_CMP(x, <, longmin) || MP_CMP(x, >, longmax))
176 VALERR("mp out of range for int");
177 *l = mp_tolong(x);
178 rc = 0;
179end:
180 return (rc);
181}
182
183/*----- Python interface --------------------------------------------------*/
184
185static void mp_pydealloc(PyObject *o)
186{
187 MP_DROP(MP_X(o));
3aa33042 188 FREEOBJ(o);
d7ab1bab 189}
190
191static PyObject *mp_pyrepr(PyObject *o)
192 { return mp_topystring(MP_X(o), 10, "MP(", 0, "L)"); }
193
194static PyObject *mp_pystr(PyObject *o)
195 { return mp_topystring(MP_X(o), 10, 0, 0, 0); }
196
197mp *tomp(PyObject *o)
198{
199 PyObject *l;
200 mp *x;
201
202 if (!o)
203 return (0);
204 else if (MP_PYCHECK(o) || GF_PYCHECK(o))
205 return (MP_COPY(MP_X(o)));
206 else if (FE_PYCHECK(o))
207 return (F_OUT(FE_F(o), MP_NEW, FE_X(o)));
208 else if (PFILT_PYCHECK(o))
209 return (MP_COPY(PFILT_F(o)->m));
210 else if (ECPT_PYCHECK(o)) {
211 ec p = EC_INIT;
212 getecptout(&p, o);
213 x = MP_COPY(p.x);
214 EC_DESTROY(&p);
215 return (x);
216 } else if (GE_PYCHECK(o)) {
217 if ((x = G_TOINT(GE_G(o), MP_NEW, GE_X(o))) == 0)
218 return (0);
219 return (x);
220 } else if (PyInt_Check(o))
221 return (mp_fromlong(MP_NEW, PyInt_AS_LONG(o)));
222 else if ((l = PyNumber_Long(o)) != 0) {
f368b46e 223 x = mp_frompylong(l);
d7ab1bab 224 Py_DECREF(l);
225 return (x);
226 } else {
227 PyErr_Clear();
228 return (0);
229 }
230}
231
232mp *getmp(PyObject *o)
233{
234 mp *x = 0;
235 if (!o) return (0);
236 if ((x = tomp(o)) == 0) {
237 PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp",
238 o->ob_type->tp_name);
239 }
240 return (x);
241}
242
243int convmp(PyObject *o, void *p)
244{
245 mp *x;
246 if ((x = getmp(o)) == 0) return (0);
247 *(mp **)p = x;
248 return (1);
249}
250
251mp *getgf(PyObject *o)
252{
253 mp *x = 0;
254 if (!o) return (0);
255 if ((x = tomp(o)) == 0) {
256 PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf",
257 o->ob_type->tp_name);
258 }
259 return (x);
260}
261
262int convgf(PyObject *o, void *p)
263{
264 mp *x;
265 if ((x = getgf(o)) == 0) return (0);
266 *(mp **)p = x;
267 return (1);
268}
269
bf8910bd
MW		 270static mp *implicitmp(PyObject *o)
271{
272 if (!o ||
273 GF_PYCHECK(o) ||
274 ECPT_PYCHECK(o) ||
275 FE_PYCHECK(o) ||
276 GE_PYCHECK(o))
277 return (0);
278 return (tomp(o));
279}
280
281static mp *implicitgf(PyObject *o)
282{
283 if (!o ||
284 MP_PYCHECK(o) ||
285 ECPT_PYCHECK(o) ||
286 FE_PYCHECK(o) ||
287 GE_PYCHECK(o))
288 return (0);
289 return (tomp(o));
290}
291
d7ab1bab 292static int mpbinop(PyObject *x, PyObject *y, mp **xx, mp **yy)
293{
bf8910bd
MW		 294 if ((*xx = implicitmp(x)) == 0)
295 return (-1);
296 if ((*yy = implicitmp(y)) == 0) {
297 MP_DROP(*xx);
298 return (-1);
299 }
300 return (0);
301}
302
303static int gfbinop(PyObject *x, PyObject *y, mp **xx, mp **yy)
304{
305 if ((*xx = implicitgf(x)) == 0)
d7ab1bab 306 return (-1);
bf8910bd 307 if ((*yy = implicitgf(y)) == 0) {
d7ab1bab 308 MP_DROP(*xx);
309 return (-1);
310 }
311 return (0);
312}
313
314#define gf_and mp_and
315#define gf_or mp_or
316#define gf_xor mp_xor
317#define BINOP(pre, name) \
318 static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \
319 mp *xx, *yy, *zz; \
bf8910bd 320 if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
d7ab1bab 321 zz = pre##_##name(MP_NEW, xx, yy); \
322 MP_DROP(xx); MP_DROP(yy); \
323 return (pre##_pywrap(zz)); \
324 }
325BINOP(mp, add)
326BINOP(mp, sub)
327BINOP(mp, mul)
328BINOP(mp, and2c)
329BINOP(mp, or2c)
330BINOP(mp, xor2c)
331BINOP(gf, add)
332BINOP(gf, sub)
333BINOP(gf, mul)
334BINOP(gf, and)
335BINOP(gf, or)
336BINOP(gf, xor)
337#undef BINOP
338
339static mp *mp_abs(mp *d, mp *x)
340{
341 if (MP_NEGP(x))
342 return (mp_neg(d, x));
343 MP_COPY(x);
344 if (d) MP_DROP(d);
345 return (x);
346}
347
348#define UNOP(pre, name) \
349 static PyObject *pre##_py##name(PyObject *x) \
350 { return mp_pywrap(pre##_##name(MP_NEW, MP_X(x))); }
351UNOP(mp, neg)
352UNOP(mp, abs)
353UNOP(mp, not2c)
354#undef UNOP
355
356static PyObject *mp_pyid(PyObject *x) { RETURN_OBJ(x); }
357
358#define gf_lsr mp_lsr
359#define SHIFTOP(pre, name, rname) \
360 static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \
361 mp *xx, *yy; \
362 PyObject *z = 0; \
363 long n; \
bf8910bd 364 if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
d7ab1bab 365 if (mp_tolong_checked(yy, &n)) goto end; \
366 if (n < 0) \
367 z = pre##_pywrap(mp_##rname(MP_NEW, xx, -n)); \
368 else \
369 z = pre##_pywrap(mp_##name(MP_NEW, xx, n)); \
370 end: \
371 MP_DROP(xx); MP_DROP(yy); \
372 return (z); \
373 }
374SHIFTOP(mp, lsl2c, lsr2c)
375SHIFTOP(mp, lsr2c, lsl2c)
376SHIFTOP(gf, lsl, lsr)
377SHIFTOP(gf, lsr, lsl)
378#undef SHIFTOP
379
380#define DIVOP(pre, name, qq, rr, gather) \
381 static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \
382 mp *xx, *yy; \
383 PyObject *z = 0; \
384 INIT_##qq(q) INIT_##rr(r) \
bf8910bd 385 if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
d7ab1bab 386 if (MP_ZEROP(yy)) \
387 ZDIVERR("division by zero"); \
388 pre##_div(ARG_##qq(q), ARG_##rr(r), xx, yy); \
389 z = gather; \
390 end: \
391 MP_DROP(xx); MP_DROP(yy); \
392 return (z); \
393 }
394#define INIT_YES(p) mp *p = MP_NEW;
395#define INIT_NO(p)
396#define ARG_YES(p) &p
397#define ARG_NO(p) 0
398DIVOP(mp, divmod, YES, YES,
399 Py_BuildValue("(NN)", mp_pywrap(q), mp_pywrap(r)))
400DIVOP(mp, div, YES, NO, mp_pywrap(q))
401DIVOP(mp, mod, NO, YES, mp_pywrap(r))
402DIVOP(gf, divmod, YES, YES,
403 Py_BuildValue("(NN)", gf_pywrap(q), gf_pywrap(r)))
404DIVOP(gf, div, YES, NO, gf_pywrap(q))
405DIVOP(gf, mod, NO, YES, gf_pywrap(r))
406#undef INIT_YES
407#undef INIT_NO
408#undef ARG_YES
409#undef ARG_NO
410#undef DIVOP
411
412static mp *mp_modinv_checked(mp *d, mp *x, mp *p)
413{
414 mp *g = MP_NEW;
415 mp_gcd(&g, 0, &d, p, x);
416 if (!MP_EQ(g, MP_ONE)) {
417 MP_DROP(g); MP_DROP(d);
418 PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse");
419 return (0);
420 }
421 MP_DROP(g); return (d);
422}
423
424static PyObject *mp_pyexp(PyObject *x, PyObject *y, PyObject *z)
425{
426 mp *xx = 0, *yy = 0, *zz = 0;
427 mp *r = 0;
428 PyObject *rc = 0;
429
bf8910bd 430 if ((xx = implicitmp(x)) == 0 || (yy = implicitmp(y)) == 0 ||
d7ab1bab 431 (z && z != Py_None && (zz = tomp(z)) == 0)) {
432 mp_drop(xx); mp_drop(yy); mp_drop(zz);
433 RETURN_NOTIMPL;
434 }
435 if (!z || z == Py_None) {
436 if (MP_NEGP(yy)) VALERR("negative exponent");
437 r = mp_exp(MP_NEW, xx, yy);
438 } else {
439 if (!MP_POSP(zz)) VALERR("modulus must be positive");
440 if (MP_NEGP(yy)) {
441 if ((xx = mp_modinv_checked(xx, xx, zz)) == 0) goto end;
442 yy = mp_neg(yy, yy);
443 }
444 if (MP_ODDP(zz)) {
445 mpmont mm;
446 mpmont_create(&mm, zz);
447 r = mpmont_exp(&mm, MP_NEW, xx, yy);
448 mpmont_destroy(&mm);
449 } else {
450 mpbarrett mb;
451 mpbarrett_create(&mb, zz);
452 r = mpbarrett_exp(&mb, MP_NEW, xx, yy);
453 mpbarrett_destroy(&mb);
454 }
455 }
456 rc = mp_pywrap(r);
457end:
458 mp_drop(xx); mp_drop(yy); mp_drop(zz);
459 return (rc);
460}
461
462static mp *gf_modinv_checked(mp *d, mp *x, mp *p)
463{
464 mp *g = MP_NEW;
465 gf_gcd(&g, 0, &d, p, x);
466 if (!MP_EQ(g, MP_ONE)) {
467 MP_DROP(g); MP_DROP(d);
468 PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse");
469 return (0);
470 }
471 MP_DROP(g); return (d);
472}
473
474#define BASEOP(name, radix, pre) \
475 static PyObject *mp_py##name(PyObject *x) \
476 { return mp_topystring(MP_X(x), radix, 0, pre, 0); }
477BASEOP(oct, 8, "0");
478BASEOP(hex, 16, "0x");
479#undef BASEOP
480
481static int mp_pynonzerop(PyObject *x) { return !MP_ZEROP(MP_X(x)); }
482
483static PyObject *mp_pyint(PyObject *x)
484{
485 long l;
486 if (mp_tolong_checked(MP_X(x), &l)) return (0);
487 return (PyInt_FromLong(l));
488}
489static PyObject *mp_pylong(PyObject *x)
f368b46e 490 { return (mp_topylong(MP_X(x))); }
d7ab1bab 491static PyObject *mp_pyfloat(PyObject *x)
492{
f368b46e 493 PyObject *l = mp_topylong(MP_X(x));
d7ab1bab 494 double f = PyLong_AsDouble(l);
495 Py_DECREF(l);
496 return (PyFloat_FromDouble(f));
497}
498
b2687a0a 499#define COERCE(pre, PRE) \
d7ab1bab 500 static int pre##_pycoerce(PyObject **x, PyObject **y) \
501 { \
502 mp *z; \
503 \
504 if (PRE##_PYCHECK(*y)) { \
505 Py_INCREF(*x); Py_INCREF(*y); \
506 return (0); \
507 } \
508 if ((z = tomp(*y)) != 0) { \
509 Py_INCREF(*x); \
510 *y = pre##_pywrap(z); \
511 return (0); \
512 } \
513 return (1); \
514 }
515COERCE(mp, MP)
516COERCE(gf, GF)
517#undef COERCE
518
519static int mp_pycompare(PyObject *x, PyObject *y)
520 { return mp_cmp(MP_X(x), MP_X(y)); }
521
522static PyObject *mp_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
523{
524 PyObject *x;
525 mp *z;
526 mp_pyobj *zz = 0;
527 int radix = 0;
528 char *kwlist[] = { "x", "radix", 0 };
529
f368b46e 530 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:new", kwlist, &x, &radix))
d7ab1bab 531 goto end;
532 if (MP_PYCHECK(x)) RETURN_OBJ(x);
f368b46e 533 if (!good_radix_p(radix, 1)) VALERR("bad radix");
d7ab1bab 534 if ((z = mp_frompyobject(x, radix)) == 0) {
535 PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp",
536 x->ob_type->tp_name);
537 goto end;
538 }
539 zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
540 zz->x = z;
541end:
542 return ((PyObject *)zz);
543}
544
545static long mp_pyhash(PyObject *me)
546{
f368b46e
MW		 547 long h;
548 PyObject *l = mp_topylong(MP_X(me)); h = PyObject_Hash(l);
549 Py_DECREF(l); return (h);
d7ab1bab 550}
551
552static PyObject *mpmeth_jacobi(PyObject *me, PyObject *arg)
553{
554 mp *y = 0;
555 PyObject *z = 0;
556
557 if (!PyArg_ParseTuple(arg, "O&:jacobi", convmp, &y)) goto end;
558 z = PyInt_FromLong(mp_jacobi(y, MP_X(me)));
559end:
560 if (y) MP_DROP(y);
561 return (z);
562}
563
564#define BITOP(pre, name, c) \
565 static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \
566 { \
a1be89ad
MW		 567 unsigned long i; \
568 if (!PyArg_ParseTuple(arg, "O&:" #name, convulong, &i)) return (0); \
d7ab1bab 569 return (pre##_pywrap(mp_##name##c(MP_NEW, MP_X(me), i))); \
570 }
571BITOP(mp, setbit, 2c);
572BITOP(mp, clearbit, 2c);
b2687a0a 573BITOP(gf, setbit, );
d7ab1bab 574BITOP(gf, clearbit, );
575#undef BITOP
576
577static PyObject *mpmeth_testbit(PyObject *me, PyObject *arg)
578{
a1be89ad
MW		 579 unsigned long i;
580 if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0);
d7ab1bab 581 return (getbool(mp_testbit2c(MP_X(me), i)));
582}
583
584static PyObject *gfmeth_testbit(PyObject *me, PyObject *arg)
585{
a1be89ad
MW		 586 unsigned long i;
587 if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0);
d7ab1bab 588 return (getbool(mp_testbit(MP_X(me), i)));
589}
590
591static PyObject *mpmeth_odd(PyObject *me, PyObject *arg)
592{
593 mp *t;
594 size_t s;
595
596 if (!PyArg_ParseTuple(arg, ":odd")) return (0);
597 t = mp_odd(MP_NEW, MP_X(me), &s);
598 return (Py_BuildValue("(lN)", (long)s, mp_pywrap(t)));
599}
600
601static PyObject *mpmeth_sqr(PyObject *me, PyObject *arg)
602{
603 if (!PyArg_ParseTuple(arg, ":sqr")) return (0);
604 return (mp_pywrap(mp_sqr(MP_NEW, MP_X(me))));
605}
606
607static PyObject *mpmeth_sqrt(PyObject *me, PyObject *arg)
608{
609 if (!PyArg_ParseTuple(arg, ":sqrt")) return (0);
610 if (MP_NEGP(MP_X(me))) VALERR("negative root");
611 return (mp_pywrap(mp_sqrt(MP_NEW, MP_X(me))));
612end:
613 return (0);
614}
615
616static PyObject *mpmeth_gcd(PyObject *me, PyObject *arg)
617{
618 mp *y = 0, *zz = MP_NEW;
619 PyObject *z = 0;
620
621 if (!PyArg_ParseTuple(arg, "O&:gcd", convmp, &y)) goto end;
622 mp_gcd(&zz, 0, 0, MP_X(me), y);
623 z = mp_pywrap(zz);
624end:
625 if (y) MP_DROP(y);
626 return (z);
627}
628
629static PyObject *mpmeth_gcdx(PyObject *me, PyObject *arg)
630{
631 PyObject *z = 0;
632 mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW;
633
634 if (!PyArg_ParseTuple(arg, "O&:gcdx", convmp, &yy)) goto end;
635 mp_gcd(&zz, &uu, &vv, MP_X(me), yy);
636 z = Py_BuildValue("(NNN)",
637 mp_pywrap(zz), mp_pywrap(uu), mp_pywrap(vv));
638end:
639 if (yy) MP_DROP(yy);
640 return (z);
641}
642
643static PyObject *mpmeth_modinv(PyObject *me, PyObject *arg)
644{
645 PyObject *z = 0;
646 mp *yy = 0, *zz = MP_NEW;
647
648 if (!PyArg_ParseTuple(arg, "O&:modinv", convmp, &yy) ||
649 (zz = mp_modinv_checked(MP_NEW, yy, MP_X(me))) == 0)
650 goto end;
651 z = mp_pywrap(zz);
652end:
653 if (yy) MP_DROP(yy);
654 return (z);
655}
656
657static PyObject *mpmeth_tostring(PyObject *me, PyObject *arg, PyObject *kw)
658{
659 int radix = 10;
660 char *kwlist[] = { "radix", 0 };
661 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:tostring", kwlist, &radix))
662 goto end;
f368b46e 663 if (!good_radix_p(radix, 0)) VALERR("bad radix");
d7ab1bab 664 return (mp_topystring(MP_X(me), radix, 0, 0, 0));
665end:
666 return (0);
667}
668
669static PyObject *mpmeth_modsqrt(PyObject *me, PyObject *arg)
670{
671 PyObject *z = 0;
672 mp *yy = 0, *zz = MP_NEW;
673
674 if (!PyArg_ParseTuple(arg, "O&:modsqrt", convmp, &yy)) goto end;
675 if ((zz = mp_modsqrt(MP_NEW, yy, MP_X(me))) == 0)
676 VALERR("no modular square root");
677 z = mp_pywrap(zz);
678end:
679 if (yy) MP_DROP(yy);
680 return (z);
681}
682
683#define STOREOP(name, c) \
684 static PyObject *mpmeth_##name(PyObject *me, \
685 PyObject *arg, PyObject *kw) \
686 { \
687 long len = -1; \
688 char *kwlist[] = { "len", 0 }; \
689 PyObject *rc = 0; \
690 \
691 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|l:" #name, \
692 kwlist, &len)) \
693 goto end; \
694 if (len < 0) { \
695 len = mp_octets##c(MP_X(me)); \
696 if (!len) len = 1; \
697 } \
698 rc = bytestring_pywrap(0, len); \
699 mp_##name(MP_X(me), PyString_AS_STRING(rc), len); \
700 end: \
701 return (rc); \
702 }
703STOREOP(storel, )
704STOREOP(storeb, )
705STOREOP(storel2c, 2c)
706STOREOP(storeb2c, 2c)
707#undef STOREOP
708
709#define BUFOP(ty, pyty) \
710 static PyObject *meth__##pyty##_frombuf(PyObject *me, PyObject *arg) \
711 { \
712 buf b; \
713 char *p; \
714 int sz; \
715 PyObject *rc = 0; \
716 mp *x; \
717 \
718 if (!PyArg_ParseTuple(arg, "Os#:frombuf", &me, &p, &sz)) goto end; \
719 buf_init(&b, p, sz); \
720 if ((x = buf_getmp(&b)) == 0) VALERR("malformed data"); \
721 rc = Py_BuildValue("(NN)", ty##_pywrap(x), \
722 bytestring_pywrapbuf(&b)); \
723 end: \
724 return (rc); \
725 }
726BUFOP(mp, MP)
727BUFOP(gf, GF)
728#undef BUFOP
729
730static PyObject *mpmeth_tobuf(PyObject *me, PyObject *arg)
731{
732 buf b;
733 PyObject *rc;
734 mp *x;
735 size_t n;
736
737 if (!PyArg_ParseTuple(arg, ":tobuf")) return (0);
738 x = MP_X(me);
739 n = mp_octets(x) + 3;
740 rc = bytestring_pywrap(0, n);
741 buf_init(&b, PyString_AS_STRING(rc), n);
742 buf_putmp(&b, x);
743 assert(BOK(&b));
744 _PyString_Resize(&rc, BLEN(&b));
745 return (rc);
746}
747
748static PyObject *mpmeth_primep(PyObject *me, PyObject *arg, PyObject *kw)
749{
750 grand *r = &rand_global;
751 char *kwlist[] = { "rng", 0 };
752 PyObject *rc = 0;
753
754 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&", kwlist, convgrand, &r))
755 goto end;
756 rc = getbool(pgen_primep(MP_X(me), r));
757end:
758 return (rc);
759}
760
761static PyObject *mpget_nbits(PyObject *me, void *hunoz)
762 { return (PyInt_FromLong(mp_bits(MP_X(me)))); }
763
764static PyObject *mpget_noctets(PyObject *me, void *hunoz)
765 { return (PyInt_FromLong(mp_octets(MP_X(me)))); }
766
767static PyObject *mpget_noctets2c(PyObject *me, void *hunoz)
768 { return (PyInt_FromLong(mp_octets2c(MP_X(me)))); }
769
770static PyGetSetDef mp_pygetset[] = {
771#define GETSETNAME(op, func) mp##op##_##func
772 GET (nbits, "X.nbits -> bit length of X")
773 GET (noctets, "X.noctets -> octet length of X")
774 GET (noctets2c, "X.noctets2c -> two's complement octet length of X")
775#undef GETSETNAME
776 { 0 }
777};
778
779static PyMethodDef mp_pymethods[] = {
780#define METHNAME(func) mpmeth_##func
781 METH (jacobi, "X.jacobi(Y) -> Jacobi symbol (Y/X) (NB inversion!)")
782 METH (setbit, "X.setbit(N) -> X with bit N set")
783 METH (clearbit, "X.clearbit(N) -> X with bit N clear")
784 METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
785 METH (odd, "X.odd() -> S, T where X = 2^S T with T odd")
786 METH (sqr, "X.sqr() -> X^2")
787 METH (sqrt, "X.sqrt() -> largest integer <= sqrt(X)")
788 METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
789 METH (gcdx,
790 "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
791 METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
792 METH (modsqrt, "X.modsqrt(Y) -> square root of Y mod X, if X prime")
793 KWMETH(primep, "X.primep(rng = rand) -> true/false if X is prime")
794 KWMETH(tostring, "X.tostring(radix = 10) -> STR")
795 KWMETH(storel, "X.storel(len = -1) -> little-endian bytes")
796 KWMETH(storeb, "X.storeb(len = -1) -> big-endian bytes")
797 KWMETH(storel2c,
798 "X.storel2c(len = -1) -> little-endian bytes, two's complement")
799 KWMETH(storeb2c,
800 "X.storeb2c(len = -1) -> big-endian bytes, two's complement")
801 METH (tobuf, "X.tobuf() -> buffer format")
802#undef METHNAME
803 { 0 }
804};
805
806static PyNumberMethods mp_pynumber = {
807 mp_pyadd, /* @nb_add@ */
808 mp_pysub, /* @nb_subtract@ */
809 mp_pymul, /* @nb_multiply@ */
810 0, /* @nb_divide@ */
811 mp_pymod, /* @nb_remainder@ */
812 mp_pydivmod, /* @nb_divmod@ */
813 mp_pyexp, /* @nb_power@ */
814 mp_pyneg, /* @nb_negative@ */
815 mp_pyid, /* @nb_positive@ */
816 mp_pyabs, /* @nb_absolute@ */
817 mp_pynonzerop, /* @nb_nonzero@ */
818 mp_pynot2c, /* @nb_invert@ */
819 mp_pylsl2c, /* @nb_lshift@ */
820 mp_pylsr2c, /* @nb_rshift@ */
821 mp_pyand2c, /* @nb_and@ */
822 mp_pyxor2c, /* @nb_xor@ */
823 mp_pyor2c, /* @nb_or@ */
824 mp_pycoerce, /* @nb_coerce@ */
825 mp_pyint, /* @nb_int@ */
826 mp_pylong, /* @nb_long@ */
827 mp_pyfloat, /* @nb_float@ */
828 mp_pyoct, /* @nb_oct@ */
829 mp_pyhex, /* @nb_hex@ */
830
831 0, /* @nb_inplace_add@ */
832 0, /* @nb_inplace_subtract@ */
833 0, /* @nb_inplace_multiply@ */
834 0, /* @nb_inplace_divide@ */
835 0, /* @nb_inplace_remainder@ */
836 0, /* @nb_inplace_power@ */
837 0, /* @nb_inplace_lshift@ */
838 0, /* @nb_inplace_rshift@ */
839 0, /* @nb_inplace_and@ */
840 0, /* @nb_inplace_xor@ */
841 0, /* @nb_inplace_or@ */
842
843 mp_pydiv, /* @nb_floor_divide@ */
844 0, /* @nb_true_divide@ */
845 0, /* @nb_inplace_floor_divide@ */
846 0, /* @nb_inplace_true_divide@ */
847};
848
849static PyTypeObject mp_pytype_skel = {
6d4db0bf 850 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 851 "catacomb.MP", /* @tp_name@ */
852 sizeof(mp_pyobj), /* @tp_basicsize@ */
853 0, /* @tp_itemsize@ */
854
855 mp_pydealloc, /* @tp_dealloc@ */
856 0, /* @tp_print@ */
857 0, /* @tp_getattr@ */
858 0, /* @tp_setattr@ */
859 mp_pycompare, /* @tp_compare@ */
860 mp_pyrepr, /* @tp_repr@ */
861 &mp_pynumber, /* @tp_as_number@ */
862 0, /* @tp_as_sequence@ */
863 0, /* @tp_as_mapping@ */
864 mp_pyhash, /* @tp_hash@ */
865 0, /* @tp_call@ */
866 mp_pystr, /* @tp_str@ */
867 0, /* @tp_getattro@ */
868 0, /* @tp_setattro@ */
869 0, /* @tp_as_buffer@ */
870 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
871 Py_TPFLAGS_CHECKTYPES |
872 Py_TPFLAGS_BASETYPE,
873
874 /* @tp_doc@ */
875"Multiprecision integers, similar to `long' but more efficient and\n\
876versatile. Support all the standard arithmetic operations.\n\
877\n\
878Constructor mp(X, radix = R) attempts to convert X to an `mp'. If\n\
879X is a string, it's read in radix-R form, or we look for a prefix\n\
880if R = 0. Other acceptable things are ints and longs.\n\
881\n\
882Notes:\n\
883\n\
884 * Use `//' for division. MPs don't have `/' division.",
885
886 0, /* @tp_traverse@ */
887 0, /* @tp_clear@ */
888 0, /* @tp_richcompare@ */
889 0, /* @tp_weaklistoffset@ */
890 0, /* @tp_iter@ */
963a6148 891 0, /* @tp_iternext@ */
d7ab1bab 892 mp_pymethods, /* @tp_methods@ */
893 0, /* @tp_members@ */
894 mp_pygetset, /* @tp_getset@ */
895 0, /* @tp_base@ */
896 0, /* @tp_dict@ */
897 0, /* @tp_descr_get@ */
898 0, /* @tp_descr_set@ */
899 0, /* @tp_dictoffset@ */
900 0, /* @tp_init@ */
901 PyType_GenericAlloc, /* @tp_alloc@ */
902 mp_pynew, /* @tp_new@ */
3aa33042 903 0, /* @tp_free@ */
d7ab1bab 904 0 /* @tp_is_gc@ */
905};
906
907static PyObject *meth__MP_fromstring(PyObject *me,
bf8910bd 908 PyObject *arg, PyObject *kw)
d7ab1bab 909{
910 int r = 0;
911 char *p;
912 int len;
913 PyObject *z = 0;
914 mp *zz;
915 mptext_stringctx sc;
916 char *kwlist[] = { "class", "x", "radix", 0 };
917
918 if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring",
919 kwlist, &me, &p, &len, &r))
920 goto end;
f368b46e 921 if (!good_radix_p(r, 1)) VALERR("bad radix");
d7ab1bab 922 sc.buf = p; sc.lim = p + len;
923 if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0)
924 SYNERR("bad integer");
925 z = Py_BuildValue("(Ns#)", mp_pywrap(zz), sc.buf, (int)(sc.lim - sc.buf));
926end:
927 return (z);
928}
929
32507e35
MW		 930#define LOADOP(pre, py, name) \
931 static PyObject *meth__##py##_##name(PyObject *me, PyObject *arg) \
932 { \
933 char *p; \
934 int len; \
935 if (!PyArg_ParseTuple(arg, "Os#:" #name, &me, &p, &len)) return (0); \
936 return (pre##_pywrap(mp_##name(MP_NEW, p, len))); \
937 }
938LOADOP(mp, MP, loadl)
939LOADOP(mp, MP, loadb)
940LOADOP(mp, MP, loadl2c)
941LOADOP(mp, MP, loadb2c)
942LOADOP(gf, GF, loadl)
943LOADOP(gf, GF, loadb)
944#undef LOADOP
945
946/*----- Products of small integers ----------------------------------------*/
947
948typedef struct mpmul_pyobj {
949 PyObject_HEAD
950 int livep;
951 mpmul mm;
952} mpmul_pyobj;
953
954#define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep)
955#define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm)
956
957static void mpmul_pydealloc(PyObject *me)
958{
959 if (MPMUL_LIVEP(me))
960 mp_drop(mpmul_done(MPMUL_PY(me)));
961 FREEOBJ(me);
962}
963
964static PyObject *mmmeth_factor(PyObject *me, PyObject *arg)
d7ab1bab 965{
d7ab1bab 966 PyObject *q, *i;
967 mp *x;
968
32507e35
MW		 969 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
970 if (PyTuple_Size(arg) != 1)
d7ab1bab 971 i = PyObject_GetIter(arg);
32507e35
MW		 972 else {
973 if ((q = PyTuple_GetItem(arg, 0)) == 0) goto end;
d7ab1bab 974 if ((i = PyObject_GetIter(q)) == 0) {
975 PyErr_Clear(); /* that's ok */
976 i = PyObject_GetIter(arg);
977 }
978 }
32507e35 979 if (!i) goto end;
d7ab1bab 980 while ((q = PyIter_Next(i)) != 0) {
981 x = getmp(q); Py_DECREF(q); if (!x) {
d7ab1bab 982 Py_DECREF(i);
32507e35 983 goto end;
d7ab1bab 984 }
32507e35 985 mpmul_add(MPMUL_PY(me), x);
d7ab1bab 986 MP_DROP(x);
987 }
d7ab1bab 988 Py_DECREF(i);
32507e35
MW		 989 RETURN_ME;
990end:
991 return (0);
992}
993
994static PyObject *mmmeth_done(PyObject *me, PyObject *arg)
995{
996 mp *x;
997
998 if (!PyArg_ParseTuple(arg, ":done")) goto end;
999 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
1000 x = mpmul_done(MPMUL_PY(me));
1001 MPMUL_LIVEP(me) = 0;
d7ab1bab 1002 return (mp_pywrap(x));
32507e35
MW		 1003end:
1004 return (0);
d7ab1bab 1005}
1006
32507e35
MW		 1007static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1008{
1009 mpmul_pyobj *mm;
1010
1011 if (kw) TYERR("keyword arguments not allowed here");
1012 mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0);
1013 mpmul_init(&mm->mm);
1014 mm->livep = 1;
1015 if (mmmeth_factor((PyObject *)mm, arg) == 0) {
1016 Py_DECREF(mm);
1017 goto end;
d7ab1bab 1018 }
32507e35
MW		 1019 return ((PyObject *)mm);
1020end:
1021 return (0);
1022}
1023
1024static PyObject *mmget_livep(PyObject *me, void *hunoz)
1025 { return (getbool(MPMUL_LIVEP(me))); }
1026
1027static PyGetSetDef mpmul_pygetset[] = {
1028#define GETSETNAME(op, name) mm##op##_##name
1029 GET (livep, "MM.livep -> flag: object still valid?")
1030#undef GETSETNAME
1031 { 0 }
1032};
1033
1034static PyMethodDef mpmul_pymethods[] = {
1035#define METHNAME(name) mmmeth_##name
1036 METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)")
1037 METH (done, "MM.done() -> PRODUCT")
1038#undef METHNAME
1039 { 0 }
1040};
1041
1042static PyTypeObject *mpmul_pytype, mpmul_pytype_skel = {
1043 PyObject_HEAD_INIT(0) 0, /* Header */
1044 "catacomb.MPMul", /* @tp_name@ */
1045 sizeof(mpmul_pyobj), /* @tp_basicsize@ */
1046 0, /* @tp_itemsize@ */
1047
1048 mpmul_pydealloc, /* @tp_dealloc@ */
1049 0, /* @tp_print@ */
1050 0, /* @tp_getattr@ */
1051 0, /* @tp_setattr@ */
1052 0, /* @tp_compare@ */
1053 0, /* @tp_repr@ */
1054 0, /* @tp_as_number@ */
1055 0, /* @tp_as_sequence@ */
1056 0, /* @tp_as_mapping@ */
1057 0, /* @tp_hash@ */
1058 0, /* @tp_call@ */
1059 0, /* @tp_str@ */
1060 0, /* @tp_getattro@ */
1061 0, /* @tp_setattro@ */
1062 0, /* @tp_as_buffer@ */
1063 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1064 Py_TPFLAGS_BASETYPE,
1065
1066 /* @tp_doc@ */
1067"An object for multiplying many small integers.",
1068
1069 0, /* @tp_traverse@ */
1070 0, /* @tp_clear@ */
1071 0, /* @tp_richcompare@ */
1072 0, /* @tp_weaklistoffset@ */
1073 0, /* @tp_iter@ */
1074 0, /* @tp_iternext@ */
1075 mpmul_pymethods, /* @tp_methods@ */
1076 0, /* @tp_members@ */
1077 mpmul_pygetset, /* @tp_getset@ */
1078 0, /* @tp_base@ */
1079 0, /* @tp_dict@ */
1080 0, /* @tp_descr_get@ */
1081 0, /* @tp_descr_set@ */
1082 0, /* @tp_dictoffset@ */
1083 0, /* @tp_init@ */
1084 PyType_GenericAlloc, /* @tp_alloc@ */
1085 mpmul_pynew, /* @tp_new@ */
1086 0, /* @tp_free@ */
1087 0 /* @tp_is_gc@ */
1088};
d7ab1bab 1089
1090/*----- Montgomery reduction ----------------------------------------------*/
1091
1092typedef struct mpmont_pyobj {
1093 PyObject_HEAD
1094 mpmont mm;
1095} mpmont_pyobj;
1096
1097#define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm)
1098
1099static PyObject *mmmeth_int(PyObject *me, PyObject *arg)
1100{
1101 PyObject *z = 0;
1102 mp *yy = 0;
1103 mpmont *mm = MPMONT_PY(me);
1104
1105 if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy))
1106 goto end;
1107 mp_div(0, &yy, yy, mm->m);
1108 z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2));
1109end:
1110 if (yy) MP_DROP(yy);
1111 return (z);
1112}
1113
1114static PyObject *mmmeth_mul(PyObject *me, PyObject *arg)
1115{
1116 PyObject *rc = 0;
1117 mp *yy = 0, *zz = 0;
1118
1119 if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz))
1120 goto end;
1121 rc = mp_pywrap(mpmont_mul(MPMONT_PY(me), MP_NEW, yy, zz));
1122end:
1123 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1124 return (rc);
1125}
1126
1127static PyObject *mmmeth_exp(PyObject *me, PyObject *arg)
1128{
1129 PyObject *rc = 0;
1130 mp *yy = 0, *zz = 0;
1131
1132 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1133 goto end;
1134 if (MP_NEGP(zz)) {
1135 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1136 zz = mp_neg(zz, zz);
1137 }
1138 rc = mp_pywrap(mpmont_exp(MPMONT_PY(me), MP_NEW, yy, zz));
1139end:
1140 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1141 return (rc);
1142}
1143
1144static PyObject *mmmeth_expr(PyObject *me, PyObject *arg)
1145{
1146 PyObject *rc = 0;
1147 mp *yy = 0, *zz = 0;
1148
1149 if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz))
1150 goto end;
1151 if (MP_NEGP(zz)) {
1152 yy = mpmont_reduce(MPMONT_PY(me), yy, yy);
1153 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1154 yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2);
1155 zz = mp_neg(zz, zz);
1156 }
1157 rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz));
1158end:
1159 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1160 return (rc);
1161}
1162
1163static PyObject *mm_mexpr_id(PyObject *me)
1164 { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); }
1165
1166static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1167{
1168 mp *xx = 0, *yy = 0;
1169 mp_expfactor *f = p;
1170 mpmont *mm = MPMONT_PY(me);
1171
1172 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1173 goto fail;
1174 if (MP_NEGP(yy)) {
1175 xx = mpmont_reduce(mm, xx, xx);
1176 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1177 goto fail;
1178 xx = mpmont_mul(mm, xx, xx, mm->r2);
1179 yy = mp_neg(yy, yy);
1180 }
1181 f->base = xx;
1182 f->exp = yy;
1183 return (0);
1184
1185fail:
1186 mp_drop(xx); mp_drop(yy);
1187 return (-1);
1188}
1189
1190static PyObject *mm_mexpr(PyObject *me, void *v, int n)
1191 { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1192
d7ab1bab 1193static void mp_mexp_drop(void *p)
1194{
1195 mp_expfactor *f = p;
1196 mp_drop(f->base);
1197 mp_drop(f->exp);
1198}
1199
1200static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg)
1201{
1202 return mexp_common(me, arg, sizeof(mp_expfactor),
1203 mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop);
1204}
1205
1206static PyObject *mp_mexp_id(PyObject *me)
1207 { return mp_pywrap(MP_ONE); }
1208
1209static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1210{
1211 mp *xx = 0, *yy = 0;
1212 mp_expfactor *f = p;
1213
1214 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1215 goto fail;
1216 if (MP_NEGP(yy)) {
1217 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1218 goto fail;
1219 yy = mp_neg(yy, yy);
1220 }
1221 f->base = xx;
1222 f->exp = yy;
1223 return (0);
1224
1225fail:
1226 mp_drop(xx); mp_drop(yy);
1227 return (-1);
1228}
1229
1230static PyObject *mm_mexp(PyObject *me, void *v, int n)
1231 { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1232
d7ab1bab 1233static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg)
1234{
1235 return mexp_common(me, arg, sizeof(mp_expfactor),
1236 mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop);
1237}
1238
1239#define mmmeth_ext mmmeth_reduce
1240static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg)
1241{
1242 PyObject *z = 0;
1243 mp *yy = 0;
1244
1245 if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end;
1246 z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy));
1247end:
1248 return (z);
1249}
1250
1251static void mpmont_pydealloc(PyObject *me)
1252{
1253 mpmont_destroy(MPMONT_PY(me));
3aa33042 1254 FREEOBJ(me);
d7ab1bab 1255}
1256
1257static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1258{
1259 mpmont_pyobj *mm = 0;
1260 char *kwlist[] = { "m", 0 };
1261 mp *xx = 0;
1262
1263 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1264 goto end;
1265 if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd");
1266 mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0);
1267 mpmont_create(&mm->mm, xx);
1268end:
1269 if (xx) MP_DROP(xx);
1270 return ((PyObject *)mm);
1271}
1272
1273static PyObject *mmget_m(PyObject *me, void *hunoz)
1274 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); }
1275
1276static PyObject *mmget_r(PyObject *me, void *hunoz)
1277 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); }
1278
1279static PyObject *mmget_r2(PyObject *me, void *hunoz)
1280 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); }
1281
1282static PyGetSetDef mpmont_pygetset[] = {
1283#define GETSETNAME(op, name) mm##op##_##name
1284 GET (m, "M.m -> modulus for reduction")
1285 GET (r, "M.r -> multiplicative identity")
1286 GET (r2, "M.r2 -> M.r^2, Montgomerization factor")
1287#undef GETSETNAME
1288 { 0 }
1289};
1290
1291static PyMethodDef mpmont_pymethods[] = {
1292#define METHNAME(name) mmmeth_##name
1293 METH (int, "M.out(X) -> XR")
1294 METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y")
1295 METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m")
1296 METH (mexpr, "\
1297B.mexp([(XR0, N0), (XR1, N1), ...]) = ZR where Z = X0^N0 X1^N1 mod B.m\n\
1298\t(the list may be flattened if this more convenient.)")
1299 METH (reduce, "M.reduce(XR) -> X")
1300 METH (ext, "M.ext(XR) -> X")
1301 METH (exp, "M.exp(X, N) -> X^N mod M.m")
1302 METH (mexp, "\
1303B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 mod B.m\n\
1304\t(the list may be flattened if this more convenient.)")
1305#undef METHNAME
1306 { 0 }
1307};
1308
1309static PyTypeObject *mpmont_pytype, mpmont_pytype_skel = {
6d4db0bf 1310 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 1311 "catacomb.MPMont", /* @tp_name@ */
1312 sizeof(mpmont_pyobj), /* @tp_basicsize@ */
1313 0, /* @tp_itemsize@ */
1314
1315 mpmont_pydealloc, /* @tp_dealloc@ */
1316 0, /* @tp_print@ */
1317 0, /* @tp_getattr@ */
1318 0, /* @tp_setattr@ */
1319 0, /* @tp_compare@ */
1320 0, /* @tp_repr@ */
1321 0, /* @tp_as_number@ */
1322 0, /* @tp_as_sequence@ */
1323 0, /* @tp_as_mapping@ */
1324 0, /* @tp_hash@ */
1325 0, /* @tp_call@ */
1326 0, /* @tp_str@ */
1327 0, /* @tp_getattro@ */
1328 0, /* @tp_setattro@ */
1329 0, /* @tp_as_buffer@ */
1330 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1331 Py_TPFLAGS_BASETYPE,
1332
1333 /* @tp_doc@ */
1334"A Montgomery reduction context.",
1335
1336 0, /* @tp_traverse@ */
1337 0, /* @tp_clear@ */
1338 0, /* @tp_richcompare@ */
1339 0, /* @tp_weaklistoffset@ */
1340 0, /* @tp_iter@ */
963a6148 1341 0, /* @tp_iternext@ */
d7ab1bab 1342 mpmont_pymethods, /* @tp_methods@ */
1343 0, /* @tp_members@ */
1344 mpmont_pygetset, /* @tp_getset@ */
1345 0, /* @tp_base@ */
1346 0, /* @tp_dict@ */
1347 0, /* @tp_descr_get@ */
1348 0, /* @tp_descr_set@ */
1349 0, /* @tp_dictoffset@ */
1350 0, /* @tp_init@ */
1351 PyType_GenericAlloc, /* @tp_alloc@ */
1352 mpmont_pynew, /* @tp_new@ */
3aa33042 1353 0, /* @tp_free@ */
d7ab1bab 1354 0 /* @tp_is_gc@ */
1355};
1356
1357/*----- Barrett reduction -------------------------------------------------*/
1358
1359typedef struct mpbarrett_pyobj {
1360 PyObject_HEAD
1361 mpbarrett mb;
1362} mpbarrett_pyobj;
1363
1364#define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb)
1365
1366static PyObject *mbmeth_exp(PyObject *me, PyObject *arg)
1367{
1368 PyObject *rc = 0;
1369 mp *yy = 0, *zz = 0;
1370
1371 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1372 goto end;
1373 if (MP_NEGP(zz)) {
1374 if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end;
1375 zz = mp_neg(zz, zz);
1376 }
1377 rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz));
1378end:
1379 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1380 return (rc);
1381}
1382
1383static PyObject *mb_mexp(PyObject *me, void *v, int n)
1384 { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); }
b2687a0a 1385
d7ab1bab 1386static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg)
1387{
1388 return mexp_common(me, arg, sizeof(mp_expfactor),
1389 mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop);
1390}
1391
1392static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg)
1393{
1394 PyObject *z = 0;
1395 mp *yy = 0;
1396
1397 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy))
1398 goto end;
1399 z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy));
1400end:
1401 return (z);
1402}
1403
1404static void mpbarrett_pydealloc(PyObject *me)
1405{
1406 mpbarrett_destroy(MPBARRETT_PY(me));
3aa33042 1407 FREEOBJ(me);
d7ab1bab 1408}
1409
1410static PyObject *mpbarrett_pynew(PyTypeObject *ty,
1411 PyObject *arg, PyObject *kw)
1412{
1413 mpbarrett_pyobj *mb = 0;
1414 char *kwlist[] = { "m", 0 };
1415 mp *xx = 0;
1416
1417 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1418 goto end;
1419 if (!MP_POSP(xx)) VALERR("m must be positive");
1420 mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0);
1421 mpbarrett_create(&mb->mb, xx);
1422end:
1423 if (xx) MP_DROP(xx);
1424 return ((PyObject *)mb);
1425}
1426
1427static PyObject *mbget_m(PyObject *me, void *hunoz)
1428 { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); }
1429
1430static PyGetSetDef mpbarrett_pygetset[] = {
1431#define GETSETNAME(op, name) mb##op##_##name
1432 GET (m, "B.m -> modulus for reduction")
1433#undef GETSETNAME
1434 { 0 }
1435};
1436
1437static PyMethodDef mpbarrett_pymethods[] = {
1438#define METHNAME(name) mbmeth_##name
1439 METH (reduce, "B.reduce(X) -> X mod B.m")
1440 METH (exp, "B.exp(X, N) -> X^N mod B.m")
1441 METH (mexp, "\
1442B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 mod B.m\n\
1443\t(the list may be flattened if this more convenient.)")
1444#undef METHNAME
1445 { 0 }
1446};
1447
1448static PyTypeObject *mpbarrett_pytype, mpbarrett_pytype_skel = {
6d4db0bf 1449 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 1450 "catacomb.MPBarrett", /* @tp_name@ */
1451 sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */
1452 0, /* @tp_itemsize@ */
1453
1454 mpbarrett_pydealloc, /* @tp_dealloc@ */
1455 0, /* @tp_print@ */
1456 0, /* @tp_getattr@ */
1457 0, /* @tp_setattr@ */
1458 0, /* @tp_compare@ */
1459 0, /* @tp_repr@ */
1460 0, /* @tp_as_number@ */
1461 0, /* @tp_as_sequence@ */
1462 0, /* @tp_as_mapping@ */
1463 0, /* @tp_hash@ */
1464 0, /* @tp_call@ */
1465 0, /* @tp_str@ */
1466 0, /* @tp_getattro@ */
1467 0, /* @tp_setattro@ */
1468 0, /* @tp_as_buffer@ */
1469 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1470 Py_TPFLAGS_BASETYPE,
1471
1472 /* @tp_doc@ */
1473"A Barrett reduction context.",
1474
1475 0, /* @tp_traverse@ */
1476 0, /* @tp_clear@ */
1477 0, /* @tp_richcompare@ */
1478 0, /* @tp_weaklistoffset@ */
1479 0, /* @tp_iter@ */
963a6148 1480 0, /* @tp_iternext@ */
d7ab1bab 1481 mpbarrett_pymethods, /* @tp_methods@ */
1482 0, /* @tp_members@ */
1483 mpbarrett_pygetset, /* @tp_getset@ */
1484 0, /* @tp_base@ */
1485 0, /* @tp_dict@ */
1486 0, /* @tp_descr_get@ */
1487 0, /* @tp_descr_set@ */
1488 0, /* @tp_dictoffset@ */
1489 0, /* @tp_init@ */
1490 PyType_GenericAlloc, /* @tp_alloc@ */
1491 mpbarrett_pynew, /* @tp_new@ */
3aa33042 1492 0, /* @tp_free@ */
d7ab1bab 1493 0 /* @tp_is_gc@ */
1494};
1495
1496/*----- Nice prime reduction ----------------------------------------------*/
1497
1498typedef struct mpreduce_pyobj {
1499 PyObject_HEAD
1500 mpreduce mr;
1501} mpreduce_pyobj;
1502
1503#define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr)
1504
1505static PyObject *mrmeth_exp(PyObject *me, PyObject *arg)
1506{
1507 PyObject *rc = 0;
1508 mp *yy = 0, *zz = 0;
1509
1510 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1511 goto end;
1512 if (MP_NEGP(zz)) {
1513 if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end;
1514 zz = mp_neg(zz, zz);
1515 }
1516 rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz));
1517end:
1518 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1519 return (rc);
1520}
1521
1522static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg)
1523{
1524 PyObject *z = 0;
1525 mp *yy = 0;
1526
1527 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end;
1528 z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy));
1529end:
1530 return (z);
1531}
1532
1533static void mpreduce_pydealloc(PyObject *me)
1534{
1535 mpreduce_destroy(MPREDUCE_PY(me));
3aa33042 1536 FREEOBJ(me);
d7ab1bab 1537}
1538
1539static PyObject *mpreduce_pynew(PyTypeObject *ty,
1540 PyObject *arg, PyObject *kw)
1541{
1542 mpreduce_pyobj *mr = 0;
1543 mpreduce r;
1544 char *kwlist[] = { "m", 0 };
1545 mp *xx = 0;
1546
1547 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1548 goto end;
1549 if (!MP_POSP(xx)) VALERR("m must be positive");
1550 if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)");
1551 mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0);
1552 mr->mr = r;
1553end:
1554 if (xx) MP_DROP(xx);
1555 return ((PyObject *)mr);
1556}
1557
1558static PyObject *mrget_m(PyObject *me, void *hunoz)
1559 { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); }
1560
1561static PyGetSetDef mpreduce_pygetset[] = {
1562#define GETSETNAME(op, name) mr##op##_##name
1563 GET (m, "R.m -> modulus for reduction")
1564#undef GETSETNAME
1565 { 0 }
1566};
1567
1568static PyMethodDef mpreduce_pymethods[] = {
1569#define METHNAME(name) mrmeth_##name
1570 METH (reduce, "R.reduce(X) -> X mod B.m")
1571 METH (exp, "R.exp(X, N) -> X^N mod B.m")
1572#undef METHNAME
1573 { 0 }
1574};
1575
1576static PyTypeObject *mpreduce_pytype, mpreduce_pytype_skel = {
6d4db0bf 1577 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 1578 "catacomb.MPReduce", /* @tp_name@ */
1579 sizeof(mpreduce_pyobj), /* @tp_basicsize@ */
1580 0, /* @tp_itemsize@ */
1581
1582 mpreduce_pydealloc, /* @tp_dealloc@ */
1583 0, /* @tp_print@ */
1584 0, /* @tp_getattr@ */
1585 0, /* @tp_setattr@ */
1586 0, /* @tp_compare@ */
1587 0, /* @tp_repr@ */
1588 0, /* @tp_as_number@ */
1589 0, /* @tp_as_sequence@ */
1590 0, /* @tp_as_mapping@ */
1591 0, /* @tp_hash@ */
1592 0, /* @tp_call@ */
1593 0, /* @tp_str@ */
1594 0, /* @tp_getattro@ */
1595 0, /* @tp_setattro@ */
1596 0, /* @tp_as_buffer@ */
1597 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1598 Py_TPFLAGS_BASETYPE,
1599
1600 /* @tp_doc@ */
1601"A reduction context for reduction modulo primes of special form.",
1602
1603 0, /* @tp_traverse@ */
1604 0, /* @tp_clear@ */
1605 0, /* @tp_richcompare@ */
1606 0, /* @tp_weaklistoffset@ */
1607 0, /* @tp_iter@ */
963a6148 1608 0, /* @tp_iternext@ */
d7ab1bab 1609 mpreduce_pymethods, /* @tp_methods@ */
1610 0, /* @tp_members@ */
1611 mpreduce_pygetset, /* @tp_getset@ */
1612 0, /* @tp_base@ */
1613 0, /* @tp_dict@ */
1614 0, /* @tp_descr_get@ */
1615 0, /* @tp_descr_set@ */
1616 0, /* @tp_dictoffset@ */
1617 0, /* @tp_init@ */
1618 PyType_GenericAlloc, /* @tp_alloc@ */
1619 mpreduce_pynew, /* @tp_new@ */
3aa33042 1620 0, /* @tp_free@ */
d7ab1bab 1621 0 /* @tp_is_gc@ */
1622};
1623
1624/*----- Chinese Remainder Theorem solution --------------------------------*/
1625
1626typedef struct mpcrt_pyobj {
1627 PyObject_HEAD
1628 mpcrt c;
1629} mpcrt_pyobj;
1630
1631#define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c)
1632
1633static PyObject *mcmeth_solve(PyObject *me, PyObject *arg)
1634{
1635 mpcrt *c = MPCRT_PY(me);
1636 PyObject *q = 0, *x, *z = 0;
1637 mp *xx;
1638 mp **v = 0;
1639 int i = 0, n = c->k;
1640
1641 Py_INCREF(me);
1642 if (PyTuple_Size(arg) == n)
1643 q = arg;
1644 else if (!PyArg_ParseTuple(arg, "O:solve", &q))
1645 goto end;
1646 Py_INCREF(q);
1647 if (!PySequence_Check(q)) TYERR("want a sequence of residues");
1648 if (PySequence_Size(q) != n) VALERR("residue count mismatch");
1649 v = xmalloc(n * sizeof(*v));
1650 for (i = 0; i < n; i++) {
1651 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1652 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1653 v[i] = xx;
1654 }
1655 z = mp_pywrap(mpcrt_solve(c, MP_NEW, v));
1656end:
1657 if (v) {
1658 n = i;
1659 for (i = 0; i < n; i++)
1660 MP_DROP(v[i]);
1661 xfree(v);
1662 }
1663 Py_DECREF(me);
1664 Py_XDECREF(q);
1665 return (z);
1666}
1667
1668static void mpcrt_pydealloc(PyObject *me)
1669{
1670 mpcrt *c = MPCRT_PY(me);
1671 mpcrt_destroy(c);
1672 xfree(c->v);
1673}
1674
1675static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1676{
1677 mpcrt_mod *v = 0;
1678 int n, i = 0;
1679 char *kwlist[] = { "mv", 0 };
1680 PyObject *q = 0, *x;
1681 mp *xx;
1682 mpcrt_pyobj *c = 0;
1683
1684 if (PyTuple_Size(arg) > 1)
1685 q = arg;
1686 else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", kwlist, &q))
1687 goto end;
1688 Py_INCREF(q);
1689 if (!PySequence_Check(q)) TYERR("want a sequence of moduli");
1690 n = PySequence_Size(q);
1691 if (PyErr_Occurred()) goto end;
1692 if (!n) VALERR("want at least one modulus");
1693 v = xmalloc(n * sizeof(*v));
1694 for (i = 0; i < n; i++) {
1695 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1696 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1697 v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0;
1698 }
1699 c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0);
1700 mpcrt_create(&c->c, v, n, 0);
1701 Py_DECREF(q);
1702 return ((PyObject *)c);
1703
1704end:
1705 if (v) {
1706 n = i;
1707 for (i = 0; i < n; i++)
1708 MP_DROP(v[i].m);
1709 xfree(v);
1710 }
1711 Py_XDECREF(q);
1712 return (0);
1713}
1714
1715static PyObject *mcget_product(PyObject *me, void *hunoz)
1716 { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); }
1717
1718static PyObject *mcget_moduli(PyObject *me, void *hunoz)
1719{
1720 int i;
1721 PyObject *q;
1722 mpcrt *c = MPCRT_PY(me);
1723
1724 if ((q = PyList_New(c->k)) == 0) return (0);
1725 for (i = 0; i < c->k; i++)
1726 PyList_SetItem(q, i, mp_pywrap(c->v[i].m));
1727 return (q);
1728}
1729
1730static PyGetSetDef mpcrt_pygetset[] = {
1731#define GETSETNAME(op, name) mc##op##_##name
1732 GET (product, "C.product -> product of moduli")
1733 GET (moduli, "C.moduli -> list of individual moduli")
1734#undef GETSETNAME
1735 { 0 }
1736};
1737
1738static PyMethodDef mpcrt_pymethods[] = {
1739#define METHNAME(name) mcmeth_##name
1740 METH (solve, "C.solve([R0, R1]) -> X mod C.product")
1741#undef METHNAME
1742 { 0 }
1743};
1744
1745static PyTypeObject *mpcrt_pytype, mpcrt_pytype_skel = {
6d4db0bf 1746 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 1747 "catacomb.MPCRT", /* @tp_name@ */
1748 sizeof(mpcrt_pyobj), /* @tp_basicsize@ */
1749 0, /* @tp_itemsize@ */
1750
1751 mpcrt_pydealloc, /* @tp_dealloc@ */
1752 0, /* @tp_print@ */
1753 0, /* @tp_getattr@ */
1754 0, /* @tp_setattr@ */
1755 0, /* @tp_compare@ */
1756 0, /* @tp_repr@ */
1757 0, /* @tp_as_number@ */
1758 0, /* @tp_as_sequence@ */
1759 0, /* @tp_as_mapping@ */
1760 0, /* @tp_hash@ */
1761 0, /* @tp_call@ */
1762 0, /* @tp_str@ */
1763 0, /* @tp_getattro@ */
1764 0, /* @tp_setattro@ */
1765 0, /* @tp_as_buffer@ */
1766 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1767 Py_TPFLAGS_BASETYPE,
1768
1769 /* @tp_doc@ */
1770"A context for the solution of Chinese Remainder Theorem problems.",
1771
1772 0, /* @tp_traverse@ */
1773 0, /* @tp_clear@ */
1774 0, /* @tp_richcompare@ */
1775 0, /* @tp_weaklistoffset@ */
1776 0, /* @tp_iter@ */
963a6148 1777 0, /* @tp_iternext@ */
d7ab1bab 1778 mpcrt_pymethods, /* @tp_methods@ */
1779 0, /* @tp_members@ */
1780 mpcrt_pygetset, /* @tp_getset@ */
1781 0, /* @tp_base@ */
1782 0, /* @tp_dict@ */
1783 0, /* @tp_descr_get@ */
1784 0, /* @tp_descr_set@ */
1785 0, /* @tp_dictoffset@ */
1786 0, /* @tp_init@ */
1787 PyType_GenericAlloc, /* @tp_alloc@ */
1788 mpcrt_pynew, /* @tp_new@ */
3aa33042 1789 0, /* @tp_free@ */
d7ab1bab 1790 0 /* @tp_is_gc@ */
1791};
1792
1793/*----- Binary polynomials ------------------------------------------------*/
1794
1795static PyObject *gf_pyrepr(PyObject *o)
1796 { return mp_topystring(MP_X(o), 16, "GF(", "0x", "L)"); }
1797
1798static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op)
1799{
1800 mp *xx, *yy;
1801 int xl, yl;
1802 int b;
1803
bf8910bd 1804 if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL;
d7ab1bab 1805 switch (op) {
1806 case Py_EQ: b = MP_EQ(xx, yy); break;
1807 case Py_NE: b = !MP_EQ(xx, yy); break;
1808 default:
1809 xl = mp_bits(xx);
1810 yl = mp_bits(yy);
1811 switch (op) {
1812 case Py_LT: b = xl < yl; break;
1813 case Py_LE: b = xl <= yl; break;
1814 case Py_GT: b = xl > yl; break;
1815 case Py_GE: b = xl >= yl; break;
1816 default: abort();
1817 }
1818 break;
1819 }
1820 MP_DROP(xx); MP_DROP(yy);
1821 return (getbool(b));
1822}
1823
1824static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1825{
1826 PyObject *x;
1827 mp *z;
1828 mp_pyobj *zz = 0;
1829 int radix = 0;
1830 char *kwlist[] = { "x", "radix", 0 };
1831
1832 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", kwlist, &x, &radix))
1833 goto end;
1834 if (GF_PYCHECK(x)) RETURN_OBJ(x);
f368b46e 1835 if (!good_radix_p(radix, 1)) VALERR("radix out of range");
d7ab1bab 1836 if ((z = mp_frompyobject(x, radix)) == 0) {
1837 PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf",
1838 x->ob_type->tp_name);
1839 goto end;
1840 }
1841 if (MP_NEGP(z)) {
1842 MP_DROP(z);
1843 VALERR("gf cannot be negative");
1844 }
1845 zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
1846 zz->x = z;
1847end:
1848 return ((PyObject *)zz);
1849}
1850
1851static long gf_pyhash(PyObject *me)
1852{
1853 long i = mp_tolong(MP_X(me));
1854 i ^= 0xc7ecd67c; /* random perturbance */
1855 if (i == -1)
1856 i = -2;
1857 return (i);
1858}
1859
1860static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z)
1861{
1862 mp *xx = 0, *yy = 0, *zz = 0;
1863 mp *r = 0;
1864 PyObject *rc = 0;
1865
1866 if ((xx = tomp(x)) == 0 || (yy = tomp(y)) == 0 ||
1867 (z && z != Py_None && (zz = tomp(z)) == 0)) {
1868 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1869 RETURN_NOTIMPL;
1870 }
1871 if (!z || z == Py_None) {
1872 if (MP_NEGP(yy)) VALERR("negative exponent");
1873 r = gf_exp(MP_NEW, xx, yy);
1874 } else {
1875 gfreduce gr;
1876 if (MP_ZEROP(zz)) ZDIVERR("zero modulus");
1877 if (MP_NEGP(yy)) {
1878 if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end;
1879 yy = mp_neg(yy, yy);
1880 }
1881 gfreduce_create(&gr, zz);
1882 r = gfreduce_exp(&gr, MP_NEW, xx, yy);
1883 gfreduce_destroy(&gr);
1884 }
1885 rc = gf_pywrap(r);
1886end:
1887 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1888 return (rc);
1889}
1890
1891static PyObject *gfmeth_sqr(PyObject *me, PyObject *arg)
1892{
1893 if (!PyArg_ParseTuple(arg, ":sqr")) return (0);
1894 return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me))));
1895}
1896
1897static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg)
1898{
1899 PyObject *z = 0;
1900 mp *yy = 0, *zz = MP_NEW;
1901
1902 if (!PyArg_ParseTuple(arg, "O&:gcd", convgf, &yy)) goto end;
1903 gf_gcd(&zz, 0, 0, MP_X(me), yy);
1904 z = gf_pywrap(zz);
1905end:
1906 if (yy) MP_DROP(yy);
1907 return (z);
1908}
1909
1910static PyObject *gfmeth_gcdx(PyObject *me, PyObject *arg)
1911{
1912 PyObject *z = 0;
1913 mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW;
1914
1915 if (!PyArg_ParseTuple(arg, "O&:gcdx", convgf, &yy))
1916 goto end;
1917 gf_gcd(&zz, &uu, &vv, MP_X(me), yy);
1918 z = Py_BuildValue("(NNN)",
1919 gf_pywrap(zz), gf_pywrap(uu), gf_pywrap(vv));
1920end:
1921 if (yy) MP_DROP(yy);
1922 return (z);
1923}
1924
1925static PyObject *gfmeth_modinv(PyObject *me, PyObject *arg)
1926{
1927 PyObject *z = 0;
1928 mp *yy = 0, *zz = MP_NEW;
1929
1930 if (!PyArg_ParseTuple(arg, "O&:modinv", convgf, &yy) ||
1931 (zz = gf_modinv_checked(MP_NEW, yy, MP_X(me))) == 0)
1932 goto end;
1933 z = gf_pywrap(zz);
1934end:
1935 if (yy) MP_DROP(yy);
1936 return (z);
1937}
1938
1939static PyObject *gfmeth_irreduciblep(PyObject *me, PyObject *arg)
1940{
1941 if (!PyArg_ParseTuple(arg, ":irreduciblep")) return (0);
1942 return getbool(gf_irreduciblep(MP_X(me)));
1943}
1944
1945static PyObject *gfget_degree(PyObject *me, void *hunoz)
1946 { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); }
1947
1948static PyGetSetDef gf_pygetset[] = {
1949#define GETSETNAME(op, name) gf##op##_##name
1950 GET (degree, "X.degree -> polynomial degree of X")
1951#undef GETSETNAME
1952#define GETSETNAME(op, name) mp##op##_##name
1953 GET (nbits, "X.nbits -> bit length of X")
1954 GET (noctets, "X.noctets -> octet length of X")
1955#undef GETSETNAME
1956 { 0 }
1957};
1958
1959static PyMethodDef gf_pymethods[] = {
1960#define METHNAME(func) gfmeth_##func
1961 METH (setbit, "X.setbit(N) -> X with bit N set")
1962 METH (clearbit, "X.clearbit(N) -> X with bit N clear")
1963 METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
1964 METH (sqr, "X.sqr() -> X^2")
1965 METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
1966 METH (gcdx,
1967 "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
1968 METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
b2687a0a 1969 METH (irreduciblep, "X.irreduciblep() -> true/false")
d7ab1bab 1970#undef METHNAME
1971#define METHNAME(func) mpmeth_##func
1972 KWMETH(tostring, "X.tostring(radix = 10) -> STR")
1973 KWMETH(storel, "X.storel(len = -1) -> little-endian bytes")
1974 KWMETH(storeb, "X.storeb(len = -1) -> big-endian bytes")
1975 KWMETH(storel2c,
1976 "X.storel2c(len = -1) -> little-endian bytes, two's complement")
1977 KWMETH(storeb2c,
1978 "X.storeb2c(len = -1) -> big-endian bytes, two's complement")
1979 METH (tobuf, "X.tobuf() -> buffer format")
1980#undef METHNAME
1981 { 0 }
1982};
1983
1984static PyNumberMethods gf_pynumber = {
1985 gf_pyadd, /* @nb_add@ */
1986 gf_pysub, /* @nb_subtract@ */
1987 gf_pymul, /* @nb_multiply@ */
1988 0, /* @nb_divide@ */
1989 gf_pymod, /* @nb_remainder@ */
1990 gf_pydivmod, /* @nb_divmod@ */
1991 gf_pyexp, /* @nb_power@ */
1992 mp_pyid, /* @nb_negative@ */
1993 mp_pyid, /* @nb_positive@ */
1994 mp_pyid, /* @nb_absolute@ */
1995 mp_pynonzerop, /* @nb_nonzero@ */
1996 0 /* doesn't make any sense */, /* @nb_invert@ */
1997 gf_pylsl, /* @nb_lshift@ */
1998 gf_pylsr, /* @nb_rshift@ */
1999 gf_pyand, /* @nb_and@ */
2000 gf_pyxor, /* @nb_xor@ */
2001 gf_pyor, /* @nb_or@ */
2002 gf_pycoerce, /* @nb_coerce@ */
2003 mp_pyint, /* @nb_int@ */
2004 mp_pylong, /* @nb_long@ */
2005 0 /* doesn't make any sense */, /* @nb_float@ */
2006 mp_pyoct, /* @nb_oct@ */
2007 mp_pyhex, /* @nb_hex@ */
2008
2009 0, /* @nb_inplace_add@ */
2010 0, /* @nb_inplace_subtract@ */
2011 0, /* @nb_inplace_multiply@ */
2012 0, /* @nb_inplace_divide@ */
2013 0, /* @nb_inplace_remainder@ */
2014 0, /* @nb_inplace_power@ */
2015 0, /* @nb_inplace_lshift@ */
2016 0, /* @nb_inplace_rshift@ */
2017 0, /* @nb_inplace_and@ */
2018 0, /* @nb_inplace_xor@ */
2019 0, /* @nb_inplace_or@ */
2020
2021 gf_pydiv, /* @nb_floor_divide@ */
2022 0, /* @nb_true_divide@ */
2023 0, /* @nb_inplace_floor_divide@ */
2024 0, /* @nb_inplace_true_divide@ */
2025};
2026
2027static PyTypeObject gf_pytype_skel = {
6d4db0bf 2028 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 2029 "catacomb.GF", /* @tp_name@ */
2030 sizeof(mp_pyobj), /* @tp_basicsize@ */
2031 0, /* @tp_itemsize@ */
2032
2033 mp_pydealloc, /* @tp_dealloc@ */
2034 0, /* @tp_print@ */
2035 0, /* @tp_getattr@ */
2036 0, /* @tp_setattr@ */
2037 0, /* @tp_compare@ */
2038 gf_pyrepr, /* @tp_repr@ */
2039 &gf_pynumber, /* @tp_as_number@ */
2040 0, /* @tp_as_sequence@ */
2041 0, /* @tp_as_mapping@ */
2042 gf_pyhash, /* @tp_hash@ */
2043 0, /* @tp_call@ */
2044 mp_pyhex, /* @tp_str@ */
2045 0, /* @tp_getattro@ */
2046 0, /* @tp_setattro@ */
2047 0, /* @tp_as_buffer@ */
2048 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2049 Py_TPFLAGS_CHECKTYPES |
2050 Py_TPFLAGS_BASETYPE,
2051
2052 /* @tp_doc@ */
2053"Binary polynomials. Support almost all the standard arithmetic\n\
2054operations.\n\
2055\n\
2056Constructor gf(X, radix = R) attempts to convert X to a `gf'. If\n\
2057X is a string, it's read in radix-R form, or we look for a prefix\n\
2058if R = 0. Other acceptable things are ints and longs.\n\
2059\n\
2060The name is hopelessly wrong from a technical point of view, but\n\
2061but it's much easier to type than `p2' or `c2' or whatever.\n\
2062\n\
2063Notes:\n\
2064\n\
2065 * Use `//' for division. GFs don't have `/' division.",
2066
2067 0, /* @tp_traverse@ */
2068 0, /* @tp_clear@ */
2069 gf_pyrichcompare, /* @tp_richcompare@ */
2070 0, /* @tp_weaklistoffset@ */
2071 0, /* @tp_iter@ */
963a6148 2072 0, /* @tp_iternext@ */
d7ab1bab 2073 gf_pymethods, /* @tp_methods@ */
2074 0, /* @tp_members@ */
2075 gf_pygetset, /* @tp_getset@ */
2076 0, /* @tp_base@ */
2077 0, /* @tp_dict@ */
2078 0, /* @tp_descr_get@ */
2079 0, /* @tp_descr_set@ */
2080 0, /* @tp_dictoffset@ */
2081 0, /* @tp_init@ */
2082 PyType_GenericAlloc, /* @tp_alloc@ */
2083 gf_pynew, /* @tp_new@ */
3aa33042 2084 0, /* @tp_free@ */
d7ab1bab 2085 0 /* @tp_is_gc@ */
2086};
2087
2088static PyObject *meth__GF_fromstring(PyObject *me,
2089 PyObject *arg, PyObject *kw)
2090{
2091 int r = 0;
2092 char *p;
2093 int len;
2094 PyObject *z = 0;
2095 mp *zz;
2096 mptext_stringctx sc;
2097 char *kwlist[] = { "class", "x", "radix", 0 };
2098
2099 if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring",
2100 kwlist, &me, &p, &len, &r))
2101 goto end;
4b3890c7 2102 if (!good_radix_p(r, 1)) VALERR("bad radix");
d7ab1bab 2103 sc.buf = p; sc.lim = p + len;
4b3890c7
MW		 2104 if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 ||
2105 MP_NEGP(zz)) {
2106 if (zz) MP_DROP(zz);
2107 SYNERR("bad binary polynomial");
2108 }
2109 z = Py_BuildValue("(Ns#)", gf_pywrap(zz), sc.buf, (int)(sc.lim - sc.buf));
d7ab1bab 2110end:
2111 return (z);
2112}
2113
2114/*----- Sparse poly reduction ---------------------------------------------*/
2115
2116typedef struct gfreduce_pyobj {
2117 PyObject_HEAD
2118 gfreduce mr;
2119} gfreduce_pyobj;
2120
2121#define GFREDUCE_PY(o) (&((gfreduce_pyobj *)(o))->mr)
2122
2123static PyObject *grmeth_exp(PyObject *me, PyObject *arg)
2124{
2125 PyObject *rc = 0;
2126 mp *yy = 0, *zz = 0;
2127
2128 if (!PyArg_ParseTuple(arg, "O&O&:exp", convgf, &yy, convgf, &zz))
2129 goto end;
2130 if (MP_NEGP(zz)) {
2131 if ((yy = gf_modinv_checked(yy, yy, GFREDUCE_PY(me)->p)) == 0) goto end;
2132 zz = mp_neg(zz, zz);
2133 }
2134 rc = gf_pywrap(gfreduce_exp(GFREDUCE_PY(me), MP_NEW, yy, zz));
2135end:
2136 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
2137 return (rc);
2138}
2139
fbc145f3
MW		 2140static PyObject *grmeth_trace(PyObject *me, PyObject *arg)
2141{
2142 PyObject *rc = 0;
2143 mp *xx = 0;
2144
2145 if (!PyArg_ParseTuple(arg, "O&:trace", convgf, &xx)) goto end;
2146 rc = PyInt_FromLong(gfreduce_trace(GFREDUCE_PY(me), xx));
2147end:
2148 if (xx) MP_DROP(xx);
2149 return (rc);
2150}
2151
2152static PyObject *grmeth_halftrace(PyObject *me, PyObject *arg)
2153{
2154 PyObject *rc = 0;
2155 mp *xx = 0;
2156
2157 if (!PyArg_ParseTuple(arg, "O&:halftrace", convgf, &xx)) goto end;
2158 rc = gf_pywrap(gfreduce_halftrace(GFREDUCE_PY(me), MP_NEW, xx));
2159end:
2160 if (xx) MP_DROP(xx);
2161 return (rc);
2162}
2163
2164static PyObject *grmeth_sqrt(PyObject *me, PyObject *arg)
2165{
2166 PyObject *rc = 0;
2167 mp *xx = 0, *yy;
2168
2169 if (!PyArg_ParseTuple(arg, "O&:sqrt", convgf, &xx)) goto end;
2170 if ((yy = gfreduce_sqrt(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
2171 VALERR("no modular square root");
2172 rc = gf_pywrap(yy);
2173end:
2174 if (xx) MP_DROP(xx);
2175 return (rc);
2176}
2177
2178static PyObject *grmeth_quadsolve(PyObject *me, PyObject *arg)
2179{
2180 PyObject *rc = 0;
2181 mp *xx = 0, *yy;
2182
2183 if (!PyArg_ParseTuple(arg, "O&:quadsolve", convgf, &xx)) goto end;
2184 if ((yy = gfreduce_quadsolve(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
2185 VALERR("no solution found");
2186 rc = gf_pywrap(yy);
2187end:
2188 if (xx) MP_DROP(xx);
2189 return (rc);
2190}
2191
d7ab1bab 2192static PyObject *grmeth_reduce(PyObject *me, PyObject *arg)
2193{
2194 PyObject *z = 0;
2195 mp *yy = 0;
2196
2197 if (!PyArg_ParseTuple(arg, "O&:reduce", convgf, &yy)) goto end;
2198 z = gf_pywrap(gfreduce_do(GFREDUCE_PY(me), MP_NEW, yy));
2199end:
2200 return (z);
2201}
2202
2203static void gfreduce_pydealloc(PyObject *me)
2204{
2205 gfreduce_destroy(GFREDUCE_PY(me));
3aa33042 2206 FREEOBJ(me);
d7ab1bab 2207}
2208
2209static PyObject *gfreduce_pynew(PyTypeObject *ty,
2210 PyObject *arg, PyObject *kw)
2211{
2212 gfreduce_pyobj *mr = 0;
2213 gfreduce r;
2214 char *kwlist[] = { "m", 0 };
2215 mp *xx = 0;
2216
2217 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convgf, &xx))
2218 goto end;
2219 if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!");
2220 gfreduce_create(&r, xx);
2221 mr = (gfreduce_pyobj *)ty->tp_alloc(ty, 0);
2222 mr->mr = r;
2223end:
2224 if (xx) MP_DROP(xx);
2225 return ((PyObject *)mr);
2226}
2227
2228static PyObject *grget_m(PyObject *me, void *hunoz)
2229 { return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); }
2230
2231static PyGetSetDef gfreduce_pygetset[] = {
2232#define GETSETNAME(op, name) gr##op##_##name
2233 GET (m, "R.m -> reduction polynomial")
2234#undef GETSETNAME
2235 { 0 }
2236};
2237
2238static PyMethodDef gfreduce_pymethods[] = {
2239#define METHNAME(name) grmeth_##name
2240 METH (reduce, "R.reduce(X) -> X mod B.m")
fbc145f3
MW		 2241 METH (trace, "R.trace(X) -> Tr(X) = x + x^2 + ... + x^{2^{m - 1}}")
2242 METH (halftrace, "R.halftrace(X) -> x + x^{2^2} + ... + x^{2^{m - 1}}")
2243 METH (sqrt, "R.sqrt(X) -> Y where Y^2 = X mod R")
2244 METH (quadsolve, "R.quadsolve(X) -> Y where Y^2 + Y = X mod R")
d7ab1bab 2245 METH (exp, "R.exp(X, N) -> X^N mod B.m")
2246#undef METHNAME
2247 { 0 }
2248};
2249
2250static PyTypeObject *gfreduce_pytype, gfreduce_pytype_skel = {
6d4db0bf 2251 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 2252 "catacomb.GFReduce", /* @tp_name@ */
2253 sizeof(gfreduce_pyobj), /* @tp_basicsize@ */
2254 0, /* @tp_itemsize@ */
2255
2256 gfreduce_pydealloc, /* @tp_dealloc@ */
2257 0, /* @tp_print@ */
2258 0, /* @tp_getattr@ */
2259 0, /* @tp_setattr@ */
2260 0, /* @tp_compare@ */
2261 0, /* @tp_repr@ */
2262 0, /* @tp_as_number@ */
2263 0, /* @tp_as_sequence@ */
2264 0, /* @tp_as_mapping@ */
2265 0, /* @tp_hash@ */
2266 0, /* @tp_call@ */
2267 0, /* @tp_str@ */
2268 0, /* @tp_getattro@ */
2269 0, /* @tp_setattro@ */
2270 0, /* @tp_as_buffer@ */
2271 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2272 Py_TPFLAGS_BASETYPE,
2273
2274 /* @tp_doc@ */
2275"A reduction context for reduction modulo sparse irreducible polynomials.",
2276
2277 0, /* @tp_traverse@ */
2278 0, /* @tp_clear@ */
2279 0, /* @tp_richcompare@ */
2280 0, /* @tp_weaklistoffset@ */
2281 0, /* @tp_iter@ */
963a6148 2282 0, /* @tp_iternext@ */
d7ab1bab 2283 gfreduce_pymethods, /* @tp_methods@ */
2284 0, /* @tp_members@ */
2285 gfreduce_pygetset, /* @tp_getset@ */
2286 0, /* @tp_base@ */
2287 0, /* @tp_dict@ */
2288 0, /* @tp_descr_get@ */
2289 0, /* @tp_descr_set@ */
2290 0, /* @tp_dictoffset@ */
2291 0, /* @tp_init@ */
2292 PyType_GenericAlloc, /* @tp_alloc@ */
2293 gfreduce_pynew, /* @tp_new@ */
3aa33042 2294 0, /* @tp_free@ */
d7ab1bab 2295 0 /* @tp_is_gc@ */
2296};
2297
2298/*----- Normal/poly transformation ----------------------------------------*/
2299
2300typedef struct gfn_pyobj {
2301 PyObject_HEAD
2302 mp *p;
2303 gfn ntop, pton;
2304} gfn_pyobj;
2305
2306static PyTypeObject *gfn_pytype, gfn_pytype_skel;
2307
2308#define GFN_P(o) (((gfn_pyobj *)(o))->p)
2309#define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton)
2310#define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop)
2311
2312static PyObject *gfn_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
2313{
2314 mp *p = 0, *beta = 0;
2315 gfn_pyobj *gg = 0;
2316 char *kwlist[] = { "p", "beta", 0 };
2317
2318 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", kwlist,
2319 convgf, &p, convgf, &beta))
2320 goto end;
2321 gg = PyObject_New(gfn_pyobj, ty);
2322 if (gfn_create(p, beta, &gg->ntop, &gg->pton)) {
3aa33042 2323 FREEOBJ(gg);
d7ab1bab 2324 gg = 0;
2325 VALERR("can't invert transformation matrix");
2326 }
2327 gg->p = MP_COPY(p);
2328end:
2329 mp_drop(p);
2330 mp_drop(beta);
2331 return ((PyObject *)gg);
2332}
2333
2334static PyObject *gfnget_p(PyObject *me, void *hunoz)
2335 { return (gf_pywrap(MP_COPY(GFN_P(me)))); }
2336
2337static PyObject *gfnget_beta(PyObject *me, void *hunoz)
2338{
2339 gfn *n = GFN_NTOP(me);
2340 mp *x = n->r[n->n - 1];
2341 return (gf_pywrap(MP_COPY(x)));
2342}
2343
2344#define XFORMOP(name, NAME) \
2345 static PyObject *gfnmeth_##name(PyObject *me, PyObject *arg) \
2346 { \
2347 mp *xx = 0; \
2348 mp *z = 0; \
2349 \
2350 if (!PyArg_ParseTuple(arg, "O&:" #name, convgf, &xx)) goto end; \
2351 z = gfn_transform(GFN_##NAME(me), MP_NEW, xx); \
2352 end: \
2353 mp_drop(xx); \
2354 if (!z) return (0); \
2355 return (mp_pywrap(z)); \
2356 }
2357XFORMOP(pton, PTON)
2358XFORMOP(ntop, NTOP)
2359#undef XFORMOP
2360
2361static void gfn_pydealloc(PyObject *me)
2362{
2363 gfn_destroy(GFN_PTON(me));
2364 gfn_destroy(GFN_NTOP(me));
3aa33042 2365 FREEOBJ(me);
d7ab1bab 2366}
2367
2368static PyGetSetDef gfn_pygetset[] = {
2369#define GETSETNAME(op, name) gfn##op##_##name
2370 GET (p, "X.p -> polynomial basis, as polynomial")
2371 GET (beta, "X.beta -> normal basis element, in poly form")
2372#undef GETSETNAME
2373 { 0 }
2374};
2375
2376static PyMethodDef gfn_pymethods[] = {
2377#define METHNAME(name) gfnmeth_##name
2378 METH (pton, "X.pton(A) -> normal-basis representation of A")
2379 METH (ntop, "X.ntop(A) -> polynomial-basis representation of A")
2380#undef METHNAME
2381 { 0 }
2382};
2383
2384static PyTypeObject gfn_pytype_skel = {
6d4db0bf 2385 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 2386 "catacomb.GFN", /* @tp_name@ */
2387 sizeof(gfn_pyobj), /* @tp_basicsize@ */
2388 0, /* @tp_itemsize@ */
2389
2390 gfn_pydealloc, /* @tp_dealloc@ */
2391 0, /* @tp_print@ */
2392 0, /* @tp_getattr@ */
2393 0, /* @tp_setattr@ */
2394 0, /* @tp_compare@ */
2395 0, /* @tp_repr@ */
2396 0, /* @tp_as_number@ */
2397 0, /* @tp_as_sequence@ */
2398 0, /* @tp_as_mapping@ */
2399 0, /* @tp_hash@ */
2400 0, /* @tp_call@ */
2401 0, /* @tp_str@ */
2402 0, /* @tp_getattro@ */
2403 0, /* @tp_setattro@ */
2404 0, /* @tp_as_buffer@ */
2405 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2406 Py_TPFLAGS_BASETYPE,
2407
2408 /* @tp_doc@ */
2409"An object for transforming elements of binary fields between polynomial\n\
2410and normal basis representations.",
2411
2412 0, /* @tp_traverse@ */
2413 0, /* @tp_clear@ */
2414 0, /* @tp_richcompare@ */
2415 0, /* @tp_weaklistoffset@ */
2416 0, /* @tp_iter@ */
963a6148 2417 0, /* @tp_iternext@ */
d7ab1bab 2418 gfn_pymethods, /* @tp_methods@ */
2419 0, /* @tp_members@ */
2420 gfn_pygetset, /* @tp_getset@ */
2421 0, /* @tp_base@ */
2422 0, /* @tp_dict@ */
2423 0, /* @tp_descr_get@ */
2424 0, /* @tp_descr_set@ */
2425 0, /* @tp_dictoffset@ */
2426 0, /* @tp_init@ */
2427 PyType_GenericAlloc, /* @tp_alloc@ */
2428 gfn_pynew, /* @tp_new@ */
3aa33042 2429 0, /* @tp_free@ */
d7ab1bab 2430 0 /* @tp_is_gc@ */
2431};
2432
2433/*----- Glue --------------------------------------------------------------*/
2434
2435static PyMethodDef methods[] = {
2436#define METHNAME(func) meth_##func
b2687a0a 2437 KWMETH(_MP_fromstring, "\
d7ab1bab 2438fromstring(STR, radix = 0) -> (X, REST)\n\
2439\n\
2440Parse STR as a large integer, according to radix. If radix is zero,\n\
2441read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\
2442or `R_' for other radix R.")
b2687a0a 2443 KWMETH(_GF_fromstring, "\
d7ab1bab 2444fromstring(STR, radix = 0) -> (X, REST)\n\
2445\n\
2446Parse STR as a binary polynomial, according to radix. If radix is zero,\n\
2447read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\
2448or `R_' for other radix R.")
2449 METH (_MP_loadl, "\
2450loadl(STR) -> X: read little-endian bytes")
2451 METH (_MP_loadb, "\
2452loadb(STR) -> X: read big-endian bytes")
2453 METH (_MP_loadl2c, "\
2454loadl2c(STR) -> X: read little-endian bytes, two's complement")
2455 METH (_MP_loadb2c, "\
2456loadb2c(STR) -> X: read big-endian bytes, two's complement")
2457 METH (_MP_frombuf, "\
2458frombuf(STR) -> (X, REST): read buffer format")
d7ab1bab 2459 METH (_GF_loadl, "\
2460loadl(STR) -> X: read little-endian bytes")
2461 METH (_GF_loadb, "\
2462loadb(STR) -> X: read big-endian bytes")
2463 METH (_GF_frombuf, "\
2464frombuf(STR) -> (X, REST): read buffer format")
2465#undef METHNAME
2466 { 0 }
2467};
2468
2469void mp_pyinit(void)
2470{
2471 INITTYPE(mp, root);
2472 INITTYPE(gf, root);
32507e35 2473 INITTYPE(mpmul, root);
d7ab1bab 2474 INITTYPE(mpmont, root);
2475 INITTYPE(mpbarrett, root);
2476 INITTYPE(mpreduce, root);
2477 INITTYPE(mpcrt, root);
2478 INITTYPE(gfreduce, root);
2479 INITTYPE(gfn, root);
2480 addmethods(methods);
2481}
2482
2483void mp_pyinsert(PyObject *mod)
2484{
2485 INSERT("MP", mp_pytype);
32507e35 2486 INSERT("MPMul", mpmul_pytype);
d7ab1bab 2487 INSERT("MPMont", mpmont_pytype);
2488 INSERT("MPBarrett", mpbarrett_pytype);
2489 INSERT("MPReduce", mpreduce_pytype);
2490 INSERT("MPCRT", mpcrt_pytype);
2491 INSERT("GF", gf_pytype);
2492 INSERT("GFReduce", gfreduce_pytype);
2493 INSERT("GFN", gfn_pytype);
2494}
2495
2496/*----- That's all, folks -------------------------------------------------*/
Catacomb cryptographic library -- Python bindings