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mp.c: Proper binding for `mp_factorial'.
[catacomb-python] / mp.c
CommitLineData
d7ab1bab 1/* -*-c-*-
2 *
d7ab1bab 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
9f49c854
MW		 930static PyObject *meth__MP_factorial(PyObject *me, PyObject *arg)
931{
932 unsigned long i;
933 mp *x;
934 if (!PyArg_ParseTuple(arg, "OO&:factorial", &me, convulong, &i))
935 return (0);
936 x = mp_factorial(i);
937 return mp_pywrap(x);
938}
939
32507e35
MW		 940#define LOADOP(pre, py, name) \
941 static PyObject *meth__##py##_##name(PyObject *me, PyObject *arg) \
942 { \
943 char *p; \
944 int len; \
945 if (!PyArg_ParseTuple(arg, "Os#:" #name, &me, &p, &len)) return (0); \
946 return (pre##_pywrap(mp_##name(MP_NEW, p, len))); \
947 }
948LOADOP(mp, MP, loadl)
949LOADOP(mp, MP, loadb)
950LOADOP(mp, MP, loadl2c)
951LOADOP(mp, MP, loadb2c)
952LOADOP(gf, GF, loadl)
953LOADOP(gf, GF, loadb)
954#undef LOADOP
955
956/*----- Products of small integers ----------------------------------------*/
957
958typedef struct mpmul_pyobj {
959 PyObject_HEAD
960 int livep;
961 mpmul mm;
962} mpmul_pyobj;
963
964#define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep)
965#define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm)
966
967static void mpmul_pydealloc(PyObject *me)
968{
969 if (MPMUL_LIVEP(me))
970 mp_drop(mpmul_done(MPMUL_PY(me)));
971 FREEOBJ(me);
972}
973
974static PyObject *mmmeth_factor(PyObject *me, PyObject *arg)
d7ab1bab 975{
d7ab1bab 976 PyObject *q, *i;
977 mp *x;
978
32507e35
MW		 979 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
980 if (PyTuple_Size(arg) != 1)
d7ab1bab 981 i = PyObject_GetIter(arg);
32507e35
MW		 982 else {
983 if ((q = PyTuple_GetItem(arg, 0)) == 0) goto end;
d7ab1bab 984 if ((i = PyObject_GetIter(q)) == 0) {
985 PyErr_Clear(); /* that's ok */
986 i = PyObject_GetIter(arg);
987 }
988 }
32507e35 989 if (!i) goto end;
d7ab1bab 990 while ((q = PyIter_Next(i)) != 0) {
991 x = getmp(q); Py_DECREF(q); if (!x) {
d7ab1bab 992 Py_DECREF(i);
32507e35 993 goto end;
d7ab1bab 994 }
32507e35 995 mpmul_add(MPMUL_PY(me), x);
d7ab1bab 996 MP_DROP(x);
997 }
d7ab1bab 998 Py_DECREF(i);
32507e35
MW		 999 RETURN_ME;
1000end:
1001 return (0);
1002}
1003
1004static PyObject *mmmeth_done(PyObject *me, PyObject *arg)
1005{
1006 mp *x;
1007
1008 if (!PyArg_ParseTuple(arg, ":done")) goto end;
1009 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
1010 x = mpmul_done(MPMUL_PY(me));
1011 MPMUL_LIVEP(me) = 0;
d7ab1bab 1012 return (mp_pywrap(x));
32507e35
MW		 1013end:
1014 return (0);
d7ab1bab 1015}
1016
32507e35
MW		 1017static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1018{
1019 mpmul_pyobj *mm;
1020
1021 if (kw) TYERR("keyword arguments not allowed here");
1022 mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0);
1023 mpmul_init(&mm->mm);
1024 mm->livep = 1;
1025 if (mmmeth_factor((PyObject *)mm, arg) == 0) {
1026 Py_DECREF(mm);
1027 goto end;
d7ab1bab 1028 }
32507e35
MW		 1029 return ((PyObject *)mm);
1030end:
1031 return (0);
1032}
1033
1034static PyObject *mmget_livep(PyObject *me, void *hunoz)
1035 { return (getbool(MPMUL_LIVEP(me))); }
1036
1037static PyGetSetDef mpmul_pygetset[] = {
1038#define GETSETNAME(op, name) mm##op##_##name
1039 GET (livep, "MM.livep -> flag: object still valid?")
1040#undef GETSETNAME
1041 { 0 }
1042};
1043
1044static PyMethodDef mpmul_pymethods[] = {
1045#define METHNAME(name) mmmeth_##name
1046 METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)")
1047 METH (done, "MM.done() -> PRODUCT")
1048#undef METHNAME
1049 { 0 }
1050};
1051
1052static PyTypeObject *mpmul_pytype, mpmul_pytype_skel = {
1053 PyObject_HEAD_INIT(0) 0, /* Header */
1054 "catacomb.MPMul", /* @tp_name@ */
1055 sizeof(mpmul_pyobj), /* @tp_basicsize@ */
1056 0, /* @tp_itemsize@ */
1057
1058 mpmul_pydealloc, /* @tp_dealloc@ */
1059 0, /* @tp_print@ */
1060 0, /* @tp_getattr@ */
1061 0, /* @tp_setattr@ */
1062 0, /* @tp_compare@ */
1063 0, /* @tp_repr@ */
1064 0, /* @tp_as_number@ */
1065 0, /* @tp_as_sequence@ */
1066 0, /* @tp_as_mapping@ */
1067 0, /* @tp_hash@ */
1068 0, /* @tp_call@ */
1069 0, /* @tp_str@ */
1070 0, /* @tp_getattro@ */
1071 0, /* @tp_setattro@ */
1072 0, /* @tp_as_buffer@ */
1073 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1074 Py_TPFLAGS_BASETYPE,
1075
1076 /* @tp_doc@ */
1077"An object for multiplying many small integers.",
1078
1079 0, /* @tp_traverse@ */
1080 0, /* @tp_clear@ */
1081 0, /* @tp_richcompare@ */
1082 0, /* @tp_weaklistoffset@ */
1083 0, /* @tp_iter@ */
1084 0, /* @tp_iternext@ */
1085 mpmul_pymethods, /* @tp_methods@ */
1086 0, /* @tp_members@ */
1087 mpmul_pygetset, /* @tp_getset@ */
1088 0, /* @tp_base@ */
1089 0, /* @tp_dict@ */
1090 0, /* @tp_descr_get@ */
1091 0, /* @tp_descr_set@ */
1092 0, /* @tp_dictoffset@ */
1093 0, /* @tp_init@ */
1094 PyType_GenericAlloc, /* @tp_alloc@ */
1095 mpmul_pynew, /* @tp_new@ */
1096 0, /* @tp_free@ */
1097 0 /* @tp_is_gc@ */
1098};
d7ab1bab 1099
1100/*----- Montgomery reduction ----------------------------------------------*/
1101
1102typedef struct mpmont_pyobj {
1103 PyObject_HEAD
1104 mpmont mm;
1105} mpmont_pyobj;
1106
1107#define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm)
1108
1109static PyObject *mmmeth_int(PyObject *me, PyObject *arg)
1110{
1111 PyObject *z = 0;
1112 mp *yy = 0;
1113 mpmont *mm = MPMONT_PY(me);
1114
1115 if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy))
1116 goto end;
1117 mp_div(0, &yy, yy, mm->m);
1118 z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2));
1119end:
1120 if (yy) MP_DROP(yy);
1121 return (z);
1122}
1123
1124static PyObject *mmmeth_mul(PyObject *me, PyObject *arg)
1125{
1126 PyObject *rc = 0;
1127 mp *yy = 0, *zz = 0;
1128
1129 if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz))
1130 goto end;
1131 rc = mp_pywrap(mpmont_mul(MPMONT_PY(me), MP_NEW, yy, zz));
1132end:
1133 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1134 return (rc);
1135}
1136
1137static PyObject *mmmeth_exp(PyObject *me, PyObject *arg)
1138{
1139 PyObject *rc = 0;
1140 mp *yy = 0, *zz = 0;
1141
1142 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1143 goto end;
1144 if (MP_NEGP(zz)) {
1145 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1146 zz = mp_neg(zz, zz);
1147 }
1148 rc = mp_pywrap(mpmont_exp(MPMONT_PY(me), MP_NEW, yy, zz));
1149end:
1150 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1151 return (rc);
1152}
1153
1154static PyObject *mmmeth_expr(PyObject *me, PyObject *arg)
1155{
1156 PyObject *rc = 0;
1157 mp *yy = 0, *zz = 0;
1158
1159 if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz))
1160 goto end;
1161 if (MP_NEGP(zz)) {
1162 yy = mpmont_reduce(MPMONT_PY(me), yy, yy);
1163 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1164 yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2);
1165 zz = mp_neg(zz, zz);
1166 }
1167 rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz));
1168end:
1169 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1170 return (rc);
1171}
1172
1173static PyObject *mm_mexpr_id(PyObject *me)
1174 { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); }
1175
1176static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1177{
1178 mp *xx = 0, *yy = 0;
1179 mp_expfactor *f = p;
1180 mpmont *mm = MPMONT_PY(me);
1181
1182 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1183 goto fail;
1184 if (MP_NEGP(yy)) {
1185 xx = mpmont_reduce(mm, xx, xx);
1186 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1187 goto fail;
1188 xx = mpmont_mul(mm, xx, xx, mm->r2);
1189 yy = mp_neg(yy, yy);
1190 }
1191 f->base = xx;
1192 f->exp = yy;
1193 return (0);
1194
1195fail:
1196 mp_drop(xx); mp_drop(yy);
1197 return (-1);
1198}
1199
1200static PyObject *mm_mexpr(PyObject *me, void *v, int n)
1201 { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1202
d7ab1bab 1203static void mp_mexp_drop(void *p)
1204{
1205 mp_expfactor *f = p;
1206 mp_drop(f->base);
1207 mp_drop(f->exp);
1208}
1209
1210static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg)
1211{
1212 return mexp_common(me, arg, sizeof(mp_expfactor),
1213 mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop);
1214}
1215
1216static PyObject *mp_mexp_id(PyObject *me)
1217 { return mp_pywrap(MP_ONE); }
1218
1219static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1220{
1221 mp *xx = 0, *yy = 0;
1222 mp_expfactor *f = p;
1223
1224 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1225 goto fail;
1226 if (MP_NEGP(yy)) {
1227 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1228 goto fail;
1229 yy = mp_neg(yy, yy);
1230 }
1231 f->base = xx;
1232 f->exp = yy;
1233 return (0);
1234
1235fail:
1236 mp_drop(xx); mp_drop(yy);
1237 return (-1);
1238}
1239
1240static PyObject *mm_mexp(PyObject *me, void *v, int n)
1241 { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1242
d7ab1bab 1243static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg)
1244{
1245 return mexp_common(me, arg, sizeof(mp_expfactor),
1246 mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop);
1247}
1248
1249#define mmmeth_ext mmmeth_reduce
1250static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg)
1251{
1252 PyObject *z = 0;
1253 mp *yy = 0;
1254
1255 if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end;
1256 z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy));
1257end:
1258 return (z);
1259}
1260
1261static void mpmont_pydealloc(PyObject *me)
1262{
1263 mpmont_destroy(MPMONT_PY(me));
3aa33042 1264 FREEOBJ(me);
d7ab1bab 1265}
1266
1267static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1268{
1269 mpmont_pyobj *mm = 0;
1270 char *kwlist[] = { "m", 0 };
1271 mp *xx = 0;
1272
1273 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1274 goto end;
1275 if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd");
1276 mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0);
1277 mpmont_create(&mm->mm, xx);
1278end:
1279 if (xx) MP_DROP(xx);
1280 return ((PyObject *)mm);
1281}
1282
1283static PyObject *mmget_m(PyObject *me, void *hunoz)
1284 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); }
1285
1286static PyObject *mmget_r(PyObject *me, void *hunoz)
1287 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); }
1288
1289static PyObject *mmget_r2(PyObject *me, void *hunoz)
1290 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); }
1291
1292static PyGetSetDef mpmont_pygetset[] = {
1293#define GETSETNAME(op, name) mm##op##_##name
1294 GET (m, "M.m -> modulus for reduction")
1295 GET (r, "M.r -> multiplicative identity")
1296 GET (r2, "M.r2 -> M.r^2, Montgomerization factor")
1297#undef GETSETNAME
1298 { 0 }
1299};
1300
1301static PyMethodDef mpmont_pymethods[] = {
1302#define METHNAME(name) mmmeth_##name
1303 METH (int, "M.out(X) -> XR")
1304 METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y")
1305 METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m")
1306 METH (mexpr, "\
1307B.mexp([(XR0, N0), (XR1, N1), ...]) = ZR where Z = X0^N0 X1^N1 mod B.m\n\
1308\t(the list may be flattened if this more convenient.)")
1309 METH (reduce, "M.reduce(XR) -> X")
1310 METH (ext, "M.ext(XR) -> X")
1311 METH (exp, "M.exp(X, N) -> X^N mod M.m")
1312 METH (mexp, "\
1313B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 mod B.m\n\
1314\t(the list may be flattened if this more convenient.)")
1315#undef METHNAME
1316 { 0 }
1317};
1318
1319static PyTypeObject *mpmont_pytype, mpmont_pytype_skel = {
6d4db0bf 1320 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 1321 "catacomb.MPMont", /* @tp_name@ */
1322 sizeof(mpmont_pyobj), /* @tp_basicsize@ */
1323 0, /* @tp_itemsize@ */
1324
1325 mpmont_pydealloc, /* @tp_dealloc@ */
1326 0, /* @tp_print@ */
1327 0, /* @tp_getattr@ */
1328 0, /* @tp_setattr@ */
1329 0, /* @tp_compare@ */
1330 0, /* @tp_repr@ */
1331 0, /* @tp_as_number@ */
1332 0, /* @tp_as_sequence@ */
1333 0, /* @tp_as_mapping@ */
1334 0, /* @tp_hash@ */
1335 0, /* @tp_call@ */
1336 0, /* @tp_str@ */
1337 0, /* @tp_getattro@ */
1338 0, /* @tp_setattro@ */
1339 0, /* @tp_as_buffer@ */
1340 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1341 Py_TPFLAGS_BASETYPE,
1342
1343 /* @tp_doc@ */
1344"A Montgomery reduction context.",
1345
1346 0, /* @tp_traverse@ */
1347 0, /* @tp_clear@ */
1348 0, /* @tp_richcompare@ */
1349 0, /* @tp_weaklistoffset@ */
1350 0, /* @tp_iter@ */
963a6148 1351 0, /* @tp_iternext@ */
d7ab1bab 1352 mpmont_pymethods, /* @tp_methods@ */
1353 0, /* @tp_members@ */
1354 mpmont_pygetset, /* @tp_getset@ */
1355 0, /* @tp_base@ */
1356 0, /* @tp_dict@ */
1357 0, /* @tp_descr_get@ */
1358 0, /* @tp_descr_set@ */
1359 0, /* @tp_dictoffset@ */
1360 0, /* @tp_init@ */
1361 PyType_GenericAlloc, /* @tp_alloc@ */
1362 mpmont_pynew, /* @tp_new@ */
3aa33042 1363 0, /* @tp_free@ */
d7ab1bab 1364 0 /* @tp_is_gc@ */
1365};
1366
1367/*----- Barrett reduction -------------------------------------------------*/
1368
1369typedef struct mpbarrett_pyobj {
1370 PyObject_HEAD
1371 mpbarrett mb;
1372} mpbarrett_pyobj;
1373
1374#define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb)
1375
1376static PyObject *mbmeth_exp(PyObject *me, PyObject *arg)
1377{
1378 PyObject *rc = 0;
1379 mp *yy = 0, *zz = 0;
1380
1381 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1382 goto end;
1383 if (MP_NEGP(zz)) {
1384 if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end;
1385 zz = mp_neg(zz, zz);
1386 }
1387 rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz));
1388end:
1389 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1390 return (rc);
1391}
1392
1393static PyObject *mb_mexp(PyObject *me, void *v, int n)
1394 { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); }
b2687a0a 1395
d7ab1bab 1396static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg)
1397{
1398 return mexp_common(me, arg, sizeof(mp_expfactor),
1399 mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop);
1400}
1401
1402static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg)
1403{
1404 PyObject *z = 0;
1405 mp *yy = 0;
1406
1407 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy))
1408 goto end;
1409 z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy));
1410end:
1411 return (z);
1412}
1413
1414static void mpbarrett_pydealloc(PyObject *me)
1415{
1416 mpbarrett_destroy(MPBARRETT_PY(me));
3aa33042 1417 FREEOBJ(me);
d7ab1bab 1418}
1419
1420static PyObject *mpbarrett_pynew(PyTypeObject *ty,
1421 PyObject *arg, PyObject *kw)
1422{
1423 mpbarrett_pyobj *mb = 0;
1424 char *kwlist[] = { "m", 0 };
1425 mp *xx = 0;
1426
1427 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1428 goto end;
1429 if (!MP_POSP(xx)) VALERR("m must be positive");
1430 mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0);
1431 mpbarrett_create(&mb->mb, xx);
1432end:
1433 if (xx) MP_DROP(xx);
1434 return ((PyObject *)mb);
1435}
1436
1437static PyObject *mbget_m(PyObject *me, void *hunoz)
1438 { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); }
1439
1440static PyGetSetDef mpbarrett_pygetset[] = {
1441#define GETSETNAME(op, name) mb##op##_##name
1442 GET (m, "B.m -> modulus for reduction")
1443#undef GETSETNAME
1444 { 0 }
1445};
1446
1447static PyMethodDef mpbarrett_pymethods[] = {
1448#define METHNAME(name) mbmeth_##name
1449 METH (reduce, "B.reduce(X) -> X mod B.m")
1450 METH (exp, "B.exp(X, N) -> X^N mod B.m")
1451 METH (mexp, "\
1452B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 mod B.m\n\
1453\t(the list may be flattened if this more convenient.)")
1454#undef METHNAME
1455 { 0 }
1456};
1457
1458static PyTypeObject *mpbarrett_pytype, mpbarrett_pytype_skel = {
6d4db0bf 1459 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 1460 "catacomb.MPBarrett", /* @tp_name@ */
1461 sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */
1462 0, /* @tp_itemsize@ */
1463
1464 mpbarrett_pydealloc, /* @tp_dealloc@ */
1465 0, /* @tp_print@ */
1466 0, /* @tp_getattr@ */
1467 0, /* @tp_setattr@ */
1468 0, /* @tp_compare@ */
1469 0, /* @tp_repr@ */
1470 0, /* @tp_as_number@ */
1471 0, /* @tp_as_sequence@ */
1472 0, /* @tp_as_mapping@ */
1473 0, /* @tp_hash@ */
1474 0, /* @tp_call@ */
1475 0, /* @tp_str@ */
1476 0, /* @tp_getattro@ */
1477 0, /* @tp_setattro@ */
1478 0, /* @tp_as_buffer@ */
1479 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1480 Py_TPFLAGS_BASETYPE,
1481
1482 /* @tp_doc@ */
1483"A Barrett reduction context.",
1484
1485 0, /* @tp_traverse@ */
1486 0, /* @tp_clear@ */
1487 0, /* @tp_richcompare@ */
1488 0, /* @tp_weaklistoffset@ */
1489 0, /* @tp_iter@ */
963a6148 1490 0, /* @tp_iternext@ */
d7ab1bab 1491 mpbarrett_pymethods, /* @tp_methods@ */
1492 0, /* @tp_members@ */
1493 mpbarrett_pygetset, /* @tp_getset@ */
1494 0, /* @tp_base@ */
1495 0, /* @tp_dict@ */
1496 0, /* @tp_descr_get@ */
1497 0, /* @tp_descr_set@ */
1498 0, /* @tp_dictoffset@ */
1499 0, /* @tp_init@ */
1500 PyType_GenericAlloc, /* @tp_alloc@ */
1501 mpbarrett_pynew, /* @tp_new@ */
3aa33042 1502 0, /* @tp_free@ */
d7ab1bab 1503 0 /* @tp_is_gc@ */
1504};
1505
1506/*----- Nice prime reduction ----------------------------------------------*/
1507
1508typedef struct mpreduce_pyobj {
1509 PyObject_HEAD
1510 mpreduce mr;
1511} mpreduce_pyobj;
1512
1513#define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr)
1514
1515static PyObject *mrmeth_exp(PyObject *me, PyObject *arg)
1516{
1517 PyObject *rc = 0;
1518 mp *yy = 0, *zz = 0;
1519
1520 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1521 goto end;
1522 if (MP_NEGP(zz)) {
1523 if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end;
1524 zz = mp_neg(zz, zz);
1525 }
1526 rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz));
1527end:
1528 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1529 return (rc);
1530}
1531
1532static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg)
1533{
1534 PyObject *z = 0;
1535 mp *yy = 0;
1536
1537 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end;
1538 z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy));
1539end:
1540 return (z);
1541}
1542
1543static void mpreduce_pydealloc(PyObject *me)
1544{
1545 mpreduce_destroy(MPREDUCE_PY(me));
3aa33042 1546 FREEOBJ(me);
d7ab1bab 1547}
1548
1549static PyObject *mpreduce_pynew(PyTypeObject *ty,
1550 PyObject *arg, PyObject *kw)
1551{
1552 mpreduce_pyobj *mr = 0;
1553 mpreduce r;
1554 char *kwlist[] = { "m", 0 };
1555 mp *xx = 0;
1556
1557 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1558 goto end;
1559 if (!MP_POSP(xx)) VALERR("m must be positive");
1560 if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)");
1561 mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0);
1562 mr->mr = r;
1563end:
1564 if (xx) MP_DROP(xx);
1565 return ((PyObject *)mr);
1566}
1567
1568static PyObject *mrget_m(PyObject *me, void *hunoz)
1569 { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); }
1570
1571static PyGetSetDef mpreduce_pygetset[] = {
1572#define GETSETNAME(op, name) mr##op##_##name
1573 GET (m, "R.m -> modulus for reduction")
1574#undef GETSETNAME
1575 { 0 }
1576};
1577
1578static PyMethodDef mpreduce_pymethods[] = {
1579#define METHNAME(name) mrmeth_##name
1580 METH (reduce, "R.reduce(X) -> X mod B.m")
1581 METH (exp, "R.exp(X, N) -> X^N mod B.m")
1582#undef METHNAME
1583 { 0 }
1584};
1585
1586static PyTypeObject *mpreduce_pytype, mpreduce_pytype_skel = {
6d4db0bf 1587 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 1588 "catacomb.MPReduce", /* @tp_name@ */
1589 sizeof(mpreduce_pyobj), /* @tp_basicsize@ */
1590 0, /* @tp_itemsize@ */
1591
1592 mpreduce_pydealloc, /* @tp_dealloc@ */
1593 0, /* @tp_print@ */
1594 0, /* @tp_getattr@ */
1595 0, /* @tp_setattr@ */
1596 0, /* @tp_compare@ */
1597 0, /* @tp_repr@ */
1598 0, /* @tp_as_number@ */
1599 0, /* @tp_as_sequence@ */
1600 0, /* @tp_as_mapping@ */
1601 0, /* @tp_hash@ */
1602 0, /* @tp_call@ */
1603 0, /* @tp_str@ */
1604 0, /* @tp_getattro@ */
1605 0, /* @tp_setattro@ */
1606 0, /* @tp_as_buffer@ */
1607 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1608 Py_TPFLAGS_BASETYPE,
1609
1610 /* @tp_doc@ */
1611"A reduction context for reduction modulo primes of special form.",
1612
1613 0, /* @tp_traverse@ */
1614 0, /* @tp_clear@ */
1615 0, /* @tp_richcompare@ */
1616 0, /* @tp_weaklistoffset@ */
1617 0, /* @tp_iter@ */
963a6148 1618 0, /* @tp_iternext@ */
d7ab1bab 1619 mpreduce_pymethods, /* @tp_methods@ */
1620 0, /* @tp_members@ */
1621 mpreduce_pygetset, /* @tp_getset@ */
1622 0, /* @tp_base@ */
1623 0, /* @tp_dict@ */
1624 0, /* @tp_descr_get@ */
1625 0, /* @tp_descr_set@ */
1626 0, /* @tp_dictoffset@ */
1627 0, /* @tp_init@ */
1628 PyType_GenericAlloc, /* @tp_alloc@ */
1629 mpreduce_pynew, /* @tp_new@ */
3aa33042 1630 0, /* @tp_free@ */
d7ab1bab 1631 0 /* @tp_is_gc@ */
1632};
1633
1634/*----- Chinese Remainder Theorem solution --------------------------------*/
1635
1636typedef struct mpcrt_pyobj {
1637 PyObject_HEAD
1638 mpcrt c;
1639} mpcrt_pyobj;
1640
1641#define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c)
1642
1643static PyObject *mcmeth_solve(PyObject *me, PyObject *arg)
1644{
1645 mpcrt *c = MPCRT_PY(me);
1646 PyObject *q = 0, *x, *z = 0;
1647 mp *xx;
1648 mp **v = 0;
1649 int i = 0, n = c->k;
1650
1651 Py_INCREF(me);
1652 if (PyTuple_Size(arg) == n)
1653 q = arg;
1654 else if (!PyArg_ParseTuple(arg, "O:solve", &q))
1655 goto end;
1656 Py_INCREF(q);
1657 if (!PySequence_Check(q)) TYERR("want a sequence of residues");
1658 if (PySequence_Size(q) != n) VALERR("residue count mismatch");
1659 v = xmalloc(n * sizeof(*v));
1660 for (i = 0; i < n; i++) {
1661 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1662 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1663 v[i] = xx;
1664 }
1665 z = mp_pywrap(mpcrt_solve(c, MP_NEW, v));
1666end:
1667 if (v) {
1668 n = i;
1669 for (i = 0; i < n; i++)
1670 MP_DROP(v[i]);
1671 xfree(v);
1672 }
1673 Py_DECREF(me);
1674 Py_XDECREF(q);
1675 return (z);
1676}
1677
1678static void mpcrt_pydealloc(PyObject *me)
1679{
1680 mpcrt *c = MPCRT_PY(me);
1681 mpcrt_destroy(c);
1682 xfree(c->v);
1683}
1684
1685static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1686{
1687 mpcrt_mod *v = 0;
1688 int n, i = 0;
1689 char *kwlist[] = { "mv", 0 };
1690 PyObject *q = 0, *x;
1691 mp *xx;
1692 mpcrt_pyobj *c = 0;
1693
1694 if (PyTuple_Size(arg) > 1)
1695 q = arg;
1696 else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", kwlist, &q))
1697 goto end;
1698 Py_INCREF(q);
1699 if (!PySequence_Check(q)) TYERR("want a sequence of moduli");
1700 n = PySequence_Size(q);
1701 if (PyErr_Occurred()) goto end;
1702 if (!n) VALERR("want at least one modulus");
1703 v = xmalloc(n * sizeof(*v));
1704 for (i = 0; i < n; i++) {
1705 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1706 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1707 v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0;
1708 }
1709 c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0);
1710 mpcrt_create(&c->c, v, n, 0);
1711 Py_DECREF(q);
1712 return ((PyObject *)c);
1713
1714end:
1715 if (v) {
1716 n = i;
1717 for (i = 0; i < n; i++)
1718 MP_DROP(v[i].m);
1719 xfree(v);
1720 }
1721 Py_XDECREF(q);
1722 return (0);
1723}
1724
1725static PyObject *mcget_product(PyObject *me, void *hunoz)
1726 { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); }
1727
1728static PyObject *mcget_moduli(PyObject *me, void *hunoz)
1729{
1730 int i;
1731 PyObject *q;
1732 mpcrt *c = MPCRT_PY(me);
1733
1734 if ((q = PyList_New(c->k)) == 0) return (0);
1735 for (i = 0; i < c->k; i++)
1736 PyList_SetItem(q, i, mp_pywrap(c->v[i].m));
1737 return (q);
1738}
1739
1740static PyGetSetDef mpcrt_pygetset[] = {
1741#define GETSETNAME(op, name) mc##op##_##name
1742 GET (product, "C.product -> product of moduli")
1743 GET (moduli, "C.moduli -> list of individual moduli")
1744#undef GETSETNAME
1745 { 0 }
1746};
1747
1748static PyMethodDef mpcrt_pymethods[] = {
1749#define METHNAME(name) mcmeth_##name
1750 METH (solve, "C.solve([R0, R1]) -> X mod C.product")
1751#undef METHNAME
1752 { 0 }
1753};
1754
1755static PyTypeObject *mpcrt_pytype, mpcrt_pytype_skel = {
6d4db0bf 1756 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 1757 "catacomb.MPCRT", /* @tp_name@ */
1758 sizeof(mpcrt_pyobj), /* @tp_basicsize@ */
1759 0, /* @tp_itemsize@ */
1760
1761 mpcrt_pydealloc, /* @tp_dealloc@ */
1762 0, /* @tp_print@ */
1763 0, /* @tp_getattr@ */
1764 0, /* @tp_setattr@ */
1765 0, /* @tp_compare@ */
1766 0, /* @tp_repr@ */
1767 0, /* @tp_as_number@ */
1768 0, /* @tp_as_sequence@ */
1769 0, /* @tp_as_mapping@ */
1770 0, /* @tp_hash@ */
1771 0, /* @tp_call@ */
1772 0, /* @tp_str@ */
1773 0, /* @tp_getattro@ */
1774 0, /* @tp_setattro@ */
1775 0, /* @tp_as_buffer@ */
1776 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1777 Py_TPFLAGS_BASETYPE,
1778
1779 /* @tp_doc@ */
1780"A context for the solution of Chinese Remainder Theorem problems.",
1781
1782 0, /* @tp_traverse@ */
1783 0, /* @tp_clear@ */
1784 0, /* @tp_richcompare@ */
1785 0, /* @tp_weaklistoffset@ */
1786 0, /* @tp_iter@ */
963a6148 1787 0, /* @tp_iternext@ */
d7ab1bab 1788 mpcrt_pymethods, /* @tp_methods@ */
1789 0, /* @tp_members@ */
1790 mpcrt_pygetset, /* @tp_getset@ */
1791 0, /* @tp_base@ */
1792 0, /* @tp_dict@ */
1793 0, /* @tp_descr_get@ */
1794 0, /* @tp_descr_set@ */
1795 0, /* @tp_dictoffset@ */
1796 0, /* @tp_init@ */
1797 PyType_GenericAlloc, /* @tp_alloc@ */
1798 mpcrt_pynew, /* @tp_new@ */
3aa33042 1799 0, /* @tp_free@ */
d7ab1bab 1800 0 /* @tp_is_gc@ */
1801};
1802
1803/*----- Binary polynomials ------------------------------------------------*/
1804
1805static PyObject *gf_pyrepr(PyObject *o)
1806 { return mp_topystring(MP_X(o), 16, "GF(", "0x", "L)"); }
1807
1808static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op)
1809{
1810 mp *xx, *yy;
1811 int xl, yl;
1812 int b;
1813
bf8910bd 1814 if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL;
d7ab1bab 1815 switch (op) {
1816 case Py_EQ: b = MP_EQ(xx, yy); break;
1817 case Py_NE: b = !MP_EQ(xx, yy); break;
1818 default:
1819 xl = mp_bits(xx);
1820 yl = mp_bits(yy);
1821 switch (op) {
1822 case Py_LT: b = xl < yl; break;
1823 case Py_LE: b = xl <= yl; break;
1824 case Py_GT: b = xl > yl; break;
1825 case Py_GE: b = xl >= yl; break;
1826 default: abort();
1827 }
1828 break;
1829 }
1830 MP_DROP(xx); MP_DROP(yy);
1831 return (getbool(b));
1832}
1833
1834static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1835{
1836 PyObject *x;
1837 mp *z;
1838 mp_pyobj *zz = 0;
1839 int radix = 0;
1840 char *kwlist[] = { "x", "radix", 0 };
1841
1842 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", kwlist, &x, &radix))
1843 goto end;
1844 if (GF_PYCHECK(x)) RETURN_OBJ(x);
f368b46e 1845 if (!good_radix_p(radix, 1)) VALERR("radix out of range");
d7ab1bab 1846 if ((z = mp_frompyobject(x, radix)) == 0) {
1847 PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf",
1848 x->ob_type->tp_name);
1849 goto end;
1850 }
1851 if (MP_NEGP(z)) {
1852 MP_DROP(z);
1853 VALERR("gf cannot be negative");
1854 }
1855 zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
1856 zz->x = z;
1857end:
1858 return ((PyObject *)zz);
1859}
1860
1861static long gf_pyhash(PyObject *me)
1862{
1863 long i = mp_tolong(MP_X(me));
1864 i ^= 0xc7ecd67c; /* random perturbance */
1865 if (i == -1)
1866 i = -2;
1867 return (i);
1868}
1869
1870static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z)
1871{
1872 mp *xx = 0, *yy = 0, *zz = 0;
1873 mp *r = 0;
1874 PyObject *rc = 0;
1875
1876 if ((xx = tomp(x)) == 0 || (yy = tomp(y)) == 0 ||
1877 (z && z != Py_None && (zz = tomp(z)) == 0)) {
1878 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1879 RETURN_NOTIMPL;
1880 }
1881 if (!z || z == Py_None) {
1882 if (MP_NEGP(yy)) VALERR("negative exponent");
1883 r = gf_exp(MP_NEW, xx, yy);
1884 } else {
1885 gfreduce gr;
1886 if (MP_ZEROP(zz)) ZDIVERR("zero modulus");
1887 if (MP_NEGP(yy)) {
1888 if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end;
1889 yy = mp_neg(yy, yy);
1890 }
1891 gfreduce_create(&gr, zz);
1892 r = gfreduce_exp(&gr, MP_NEW, xx, yy);
1893 gfreduce_destroy(&gr);
1894 }
1895 rc = gf_pywrap(r);
1896end:
1897 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1898 return (rc);
1899}
1900
1901static PyObject *gfmeth_sqr(PyObject *me, PyObject *arg)
1902{
1903 if (!PyArg_ParseTuple(arg, ":sqr")) return (0);
1904 return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me))));
1905}
1906
1907static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg)
1908{
1909 PyObject *z = 0;
1910 mp *yy = 0, *zz = MP_NEW;
1911
1912 if (!PyArg_ParseTuple(arg, "O&:gcd", convgf, &yy)) goto end;
1913 gf_gcd(&zz, 0, 0, MP_X(me), yy);
1914 z = gf_pywrap(zz);
1915end:
1916 if (yy) MP_DROP(yy);
1917 return (z);
1918}
1919
1920static PyObject *gfmeth_gcdx(PyObject *me, PyObject *arg)
1921{
1922 PyObject *z = 0;
1923 mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW;
1924
1925 if (!PyArg_ParseTuple(arg, "O&:gcdx", convgf, &yy))
1926 goto end;
1927 gf_gcd(&zz, &uu, &vv, MP_X(me), yy);
1928 z = Py_BuildValue("(NNN)",
1929 gf_pywrap(zz), gf_pywrap(uu), gf_pywrap(vv));
1930end:
1931 if (yy) MP_DROP(yy);
1932 return (z);
1933}
1934
1935static PyObject *gfmeth_modinv(PyObject *me, PyObject *arg)
1936{
1937 PyObject *z = 0;
1938 mp *yy = 0, *zz = MP_NEW;
1939
1940 if (!PyArg_ParseTuple(arg, "O&:modinv", convgf, &yy) ||
1941 (zz = gf_modinv_checked(MP_NEW, yy, MP_X(me))) == 0)
1942 goto end;
1943 z = gf_pywrap(zz);
1944end:
1945 if (yy) MP_DROP(yy);
1946 return (z);
1947}
1948
1949static PyObject *gfmeth_irreduciblep(PyObject *me, PyObject *arg)
1950{
1951 if (!PyArg_ParseTuple(arg, ":irreduciblep")) return (0);
1952 return getbool(gf_irreduciblep(MP_X(me)));
1953}
1954
1955static PyObject *gfget_degree(PyObject *me, void *hunoz)
1956 { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); }
1957
1958static PyGetSetDef gf_pygetset[] = {
1959#define GETSETNAME(op, name) gf##op##_##name
1960 GET (degree, "X.degree -> polynomial degree of X")
1961#undef GETSETNAME
1962#define GETSETNAME(op, name) mp##op##_##name
1963 GET (nbits, "X.nbits -> bit length of X")
1964 GET (noctets, "X.noctets -> octet length of X")
1965#undef GETSETNAME
1966 { 0 }
1967};
1968
1969static PyMethodDef gf_pymethods[] = {
1970#define METHNAME(func) gfmeth_##func
1971 METH (setbit, "X.setbit(N) -> X with bit N set")
1972 METH (clearbit, "X.clearbit(N) -> X with bit N clear")
1973 METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
1974 METH (sqr, "X.sqr() -> X^2")
1975 METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
1976 METH (gcdx,
1977 "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
1978 METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
b2687a0a 1979 METH (irreduciblep, "X.irreduciblep() -> true/false")
d7ab1bab 1980#undef METHNAME
1981#define METHNAME(func) mpmeth_##func
1982 KWMETH(tostring, "X.tostring(radix = 10) -> STR")
1983 KWMETH(storel, "X.storel(len = -1) -> little-endian bytes")
1984 KWMETH(storeb, "X.storeb(len = -1) -> big-endian bytes")
1985 KWMETH(storel2c,
1986 "X.storel2c(len = -1) -> little-endian bytes, two's complement")
1987 KWMETH(storeb2c,
1988 "X.storeb2c(len = -1) -> big-endian bytes, two's complement")
1989 METH (tobuf, "X.tobuf() -> buffer format")
1990#undef METHNAME
1991 { 0 }
1992};
1993
1994static PyNumberMethods gf_pynumber = {
1995 gf_pyadd, /* @nb_add@ */
1996 gf_pysub, /* @nb_subtract@ */
1997 gf_pymul, /* @nb_multiply@ */
1998 0, /* @nb_divide@ */
1999 gf_pymod, /* @nb_remainder@ */
2000 gf_pydivmod, /* @nb_divmod@ */
2001 gf_pyexp, /* @nb_power@ */
2002 mp_pyid, /* @nb_negative@ */
2003 mp_pyid, /* @nb_positive@ */
2004 mp_pyid, /* @nb_absolute@ */
2005 mp_pynonzerop, /* @nb_nonzero@ */
2006 0 /* doesn't make any sense */, /* @nb_invert@ */
2007 gf_pylsl, /* @nb_lshift@ */
2008 gf_pylsr, /* @nb_rshift@ */
2009 gf_pyand, /* @nb_and@ */
2010 gf_pyxor, /* @nb_xor@ */
2011 gf_pyor, /* @nb_or@ */
2012 gf_pycoerce, /* @nb_coerce@ */
2013 mp_pyint, /* @nb_int@ */
2014 mp_pylong, /* @nb_long@ */
2015 0 /* doesn't make any sense */, /* @nb_float@ */
2016 mp_pyoct, /* @nb_oct@ */
2017 mp_pyhex, /* @nb_hex@ */
2018
2019 0, /* @nb_inplace_add@ */
2020 0, /* @nb_inplace_subtract@ */
2021 0, /* @nb_inplace_multiply@ */
2022 0, /* @nb_inplace_divide@ */
2023 0, /* @nb_inplace_remainder@ */
2024 0, /* @nb_inplace_power@ */
2025 0, /* @nb_inplace_lshift@ */
2026 0, /* @nb_inplace_rshift@ */
2027 0, /* @nb_inplace_and@ */
2028 0, /* @nb_inplace_xor@ */
2029 0, /* @nb_inplace_or@ */
2030
2031 gf_pydiv, /* @nb_floor_divide@ */
2032 0, /* @nb_true_divide@ */
2033 0, /* @nb_inplace_floor_divide@ */
2034 0, /* @nb_inplace_true_divide@ */
2035};
2036
2037static PyTypeObject gf_pytype_skel = {
6d4db0bf 2038 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 2039 "catacomb.GF", /* @tp_name@ */
2040 sizeof(mp_pyobj), /* @tp_basicsize@ */
2041 0, /* @tp_itemsize@ */
2042
2043 mp_pydealloc, /* @tp_dealloc@ */
2044 0, /* @tp_print@ */
2045 0, /* @tp_getattr@ */
2046 0, /* @tp_setattr@ */
2047 0, /* @tp_compare@ */
2048 gf_pyrepr, /* @tp_repr@ */
2049 &gf_pynumber, /* @tp_as_number@ */
2050 0, /* @tp_as_sequence@ */
2051 0, /* @tp_as_mapping@ */
2052 gf_pyhash, /* @tp_hash@ */
2053 0, /* @tp_call@ */
2054 mp_pyhex, /* @tp_str@ */
2055 0, /* @tp_getattro@ */
2056 0, /* @tp_setattro@ */
2057 0, /* @tp_as_buffer@ */
2058 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2059 Py_TPFLAGS_CHECKTYPES |
2060 Py_TPFLAGS_BASETYPE,
2061
2062 /* @tp_doc@ */
2063"Binary polynomials. Support almost all the standard arithmetic\n\
2064operations.\n\
2065\n\
2066Constructor gf(X, radix = R) attempts to convert X to a `gf'. If\n\
2067X is a string, it's read in radix-R form, or we look for a prefix\n\
2068if R = 0. Other acceptable things are ints and longs.\n\
2069\n\
2070The name is hopelessly wrong from a technical point of view, but\n\
2071but it's much easier to type than `p2' or `c2' or whatever.\n\
2072\n\
2073Notes:\n\
2074\n\
2075 * Use `//' for division. GFs don't have `/' division.",
2076
2077 0, /* @tp_traverse@ */
2078 0, /* @tp_clear@ */
2079 gf_pyrichcompare, /* @tp_richcompare@ */
2080 0, /* @tp_weaklistoffset@ */
2081 0, /* @tp_iter@ */
963a6148 2082 0, /* @tp_iternext@ */
d7ab1bab 2083 gf_pymethods, /* @tp_methods@ */
2084 0, /* @tp_members@ */
2085 gf_pygetset, /* @tp_getset@ */
2086 0, /* @tp_base@ */
2087 0, /* @tp_dict@ */
2088 0, /* @tp_descr_get@ */
2089 0, /* @tp_descr_set@ */
2090 0, /* @tp_dictoffset@ */
2091 0, /* @tp_init@ */
2092 PyType_GenericAlloc, /* @tp_alloc@ */
2093 gf_pynew, /* @tp_new@ */
3aa33042 2094 0, /* @tp_free@ */
d7ab1bab 2095 0 /* @tp_is_gc@ */
2096};
2097
2098static PyObject *meth__GF_fromstring(PyObject *me,
2099 PyObject *arg, PyObject *kw)
2100{
2101 int r = 0;
2102 char *p;
2103 int len;
2104 PyObject *z = 0;
2105 mp *zz;
2106 mptext_stringctx sc;
2107 char *kwlist[] = { "class", "x", "radix", 0 };
2108
2109 if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring",
2110 kwlist, &me, &p, &len, &r))
2111 goto end;
4b3890c7 2112 if (!good_radix_p(r, 1)) VALERR("bad radix");
d7ab1bab 2113 sc.buf = p; sc.lim = p + len;
4b3890c7
MW		 2114 if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 ||
2115 MP_NEGP(zz)) {
2116 if (zz) MP_DROP(zz);
2117 SYNERR("bad binary polynomial");
2118 }
2119 z = Py_BuildValue("(Ns#)", gf_pywrap(zz), sc.buf, (int)(sc.lim - sc.buf));
d7ab1bab 2120end:
2121 return (z);
2122}
2123
2124/*----- Sparse poly reduction ---------------------------------------------*/
2125
2126typedef struct gfreduce_pyobj {
2127 PyObject_HEAD
2128 gfreduce mr;
2129} gfreduce_pyobj;
2130
2131#define GFREDUCE_PY(o) (&((gfreduce_pyobj *)(o))->mr)
2132
2133static PyObject *grmeth_exp(PyObject *me, PyObject *arg)
2134{
2135 PyObject *rc = 0;
2136 mp *yy = 0, *zz = 0;
2137
2138 if (!PyArg_ParseTuple(arg, "O&O&:exp", convgf, &yy, convgf, &zz))
2139 goto end;
2140 if (MP_NEGP(zz)) {
2141 if ((yy = gf_modinv_checked(yy, yy, GFREDUCE_PY(me)->p)) == 0) goto end;
2142 zz = mp_neg(zz, zz);
2143 }
2144 rc = gf_pywrap(gfreduce_exp(GFREDUCE_PY(me), MP_NEW, yy, zz));
2145end:
2146 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
2147 return (rc);
2148}
2149
fbc145f3
MW		 2150static PyObject *grmeth_trace(PyObject *me, PyObject *arg)
2151{
2152 PyObject *rc = 0;
2153 mp *xx = 0;
2154
2155 if (!PyArg_ParseTuple(arg, "O&:trace", convgf, &xx)) goto end;
2156 rc = PyInt_FromLong(gfreduce_trace(GFREDUCE_PY(me), xx));
2157end:
2158 if (xx) MP_DROP(xx);
2159 return (rc);
2160}
2161
2162static PyObject *grmeth_halftrace(PyObject *me, PyObject *arg)
2163{
2164 PyObject *rc = 0;
2165 mp *xx = 0;
2166
2167 if (!PyArg_ParseTuple(arg, "O&:halftrace", convgf, &xx)) goto end;
2168 rc = gf_pywrap(gfreduce_halftrace(GFREDUCE_PY(me), MP_NEW, xx));
2169end:
2170 if (xx) MP_DROP(xx);
2171 return (rc);
2172}
2173
2174static PyObject *grmeth_sqrt(PyObject *me, PyObject *arg)
2175{
2176 PyObject *rc = 0;
2177 mp *xx = 0, *yy;
2178
2179 if (!PyArg_ParseTuple(arg, "O&:sqrt", convgf, &xx)) goto end;
2180 if ((yy = gfreduce_sqrt(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
2181 VALERR("no modular square root");
2182 rc = gf_pywrap(yy);
2183end:
2184 if (xx) MP_DROP(xx);
2185 return (rc);
2186}
2187
2188static PyObject *grmeth_quadsolve(PyObject *me, PyObject *arg)
2189{
2190 PyObject *rc = 0;
2191 mp *xx = 0, *yy;
2192
2193 if (!PyArg_ParseTuple(arg, "O&:quadsolve", convgf, &xx)) goto end;
2194 if ((yy = gfreduce_quadsolve(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
2195 VALERR("no solution found");
2196 rc = gf_pywrap(yy);
2197end:
2198 if (xx) MP_DROP(xx);
2199 return (rc);
2200}
2201
d7ab1bab 2202static PyObject *grmeth_reduce(PyObject *me, PyObject *arg)
2203{
2204 PyObject *z = 0;
2205 mp *yy = 0;
2206
2207 if (!PyArg_ParseTuple(arg, "O&:reduce", convgf, &yy)) goto end;
2208 z = gf_pywrap(gfreduce_do(GFREDUCE_PY(me), MP_NEW, yy));
2209end:
2210 return (z);
2211}
2212
2213static void gfreduce_pydealloc(PyObject *me)
2214{
2215 gfreduce_destroy(GFREDUCE_PY(me));
3aa33042 2216 FREEOBJ(me);
d7ab1bab 2217}
2218
2219static PyObject *gfreduce_pynew(PyTypeObject *ty,
2220 PyObject *arg, PyObject *kw)
2221{
2222 gfreduce_pyobj *mr = 0;
2223 gfreduce r;
2224 char *kwlist[] = { "m", 0 };
2225 mp *xx = 0;
2226
2227 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convgf, &xx))
2228 goto end;
2229 if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!");
2230 gfreduce_create(&r, xx);
2231 mr = (gfreduce_pyobj *)ty->tp_alloc(ty, 0);
2232 mr->mr = r;
2233end:
2234 if (xx) MP_DROP(xx);
2235 return ((PyObject *)mr);
2236}
2237
2238static PyObject *grget_m(PyObject *me, void *hunoz)
2239 { return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); }
2240
2241static PyGetSetDef gfreduce_pygetset[] = {
2242#define GETSETNAME(op, name) gr##op##_##name
2243 GET (m, "R.m -> reduction polynomial")
2244#undef GETSETNAME
2245 { 0 }
2246};
2247
2248static PyMethodDef gfreduce_pymethods[] = {
2249#define METHNAME(name) grmeth_##name
2250 METH (reduce, "R.reduce(X) -> X mod B.m")
fbc145f3
MW		 2251 METH (trace, "R.trace(X) -> Tr(X) = x + x^2 + ... + x^{2^{m - 1}}")
2252 METH (halftrace, "R.halftrace(X) -> x + x^{2^2} + ... + x^{2^{m - 1}}")
2253 METH (sqrt, "R.sqrt(X) -> Y where Y^2 = X mod R")
2254 METH (quadsolve, "R.quadsolve(X) -> Y where Y^2 + Y = X mod R")
d7ab1bab 2255 METH (exp, "R.exp(X, N) -> X^N mod B.m")
2256#undef METHNAME
2257 { 0 }
2258};
2259
2260static PyTypeObject *gfreduce_pytype, gfreduce_pytype_skel = {
6d4db0bf 2261 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 2262 "catacomb.GFReduce", /* @tp_name@ */
2263 sizeof(gfreduce_pyobj), /* @tp_basicsize@ */
2264 0, /* @tp_itemsize@ */
2265
2266 gfreduce_pydealloc, /* @tp_dealloc@ */
2267 0, /* @tp_print@ */
2268 0, /* @tp_getattr@ */
2269 0, /* @tp_setattr@ */
2270 0, /* @tp_compare@ */
2271 0, /* @tp_repr@ */
2272 0, /* @tp_as_number@ */
2273 0, /* @tp_as_sequence@ */
2274 0, /* @tp_as_mapping@ */
2275 0, /* @tp_hash@ */
2276 0, /* @tp_call@ */
2277 0, /* @tp_str@ */
2278 0, /* @tp_getattro@ */
2279 0, /* @tp_setattro@ */
2280 0, /* @tp_as_buffer@ */
2281 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2282 Py_TPFLAGS_BASETYPE,
2283
2284 /* @tp_doc@ */
2285"A reduction context for reduction modulo sparse irreducible polynomials.",
2286
2287 0, /* @tp_traverse@ */
2288 0, /* @tp_clear@ */
2289 0, /* @tp_richcompare@ */
2290 0, /* @tp_weaklistoffset@ */
2291 0, /* @tp_iter@ */
963a6148 2292 0, /* @tp_iternext@ */
d7ab1bab 2293 gfreduce_pymethods, /* @tp_methods@ */
2294 0, /* @tp_members@ */
2295 gfreduce_pygetset, /* @tp_getset@ */
2296 0, /* @tp_base@ */
2297 0, /* @tp_dict@ */
2298 0, /* @tp_descr_get@ */
2299 0, /* @tp_descr_set@ */
2300 0, /* @tp_dictoffset@ */
2301 0, /* @tp_init@ */
2302 PyType_GenericAlloc, /* @tp_alloc@ */
2303 gfreduce_pynew, /* @tp_new@ */
3aa33042 2304 0, /* @tp_free@ */
d7ab1bab 2305 0 /* @tp_is_gc@ */
2306};
2307
2308/*----- Normal/poly transformation ----------------------------------------*/
2309
2310typedef struct gfn_pyobj {
2311 PyObject_HEAD
2312 mp *p;
2313 gfn ntop, pton;
2314} gfn_pyobj;
2315
2316static PyTypeObject *gfn_pytype, gfn_pytype_skel;
2317
2318#define GFN_P(o) (((gfn_pyobj *)(o))->p)
2319#define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton)
2320#define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop)
2321
2322static PyObject *gfn_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
2323{
2324 mp *p = 0, *beta = 0;
2325 gfn_pyobj *gg = 0;
2326 char *kwlist[] = { "p", "beta", 0 };
2327
2328 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", kwlist,
2329 convgf, &p, convgf, &beta))
2330 goto end;
2331 gg = PyObject_New(gfn_pyobj, ty);
2332 if (gfn_create(p, beta, &gg->ntop, &gg->pton)) {
3aa33042 2333 FREEOBJ(gg);
d7ab1bab 2334 gg = 0;
2335 VALERR("can't invert transformation matrix");
2336 }
2337 gg->p = MP_COPY(p);
2338end:
2339 mp_drop(p);
2340 mp_drop(beta);
2341 return ((PyObject *)gg);
2342}
2343
2344static PyObject *gfnget_p(PyObject *me, void *hunoz)
2345 { return (gf_pywrap(MP_COPY(GFN_P(me)))); }
2346
2347static PyObject *gfnget_beta(PyObject *me, void *hunoz)
2348{
2349 gfn *n = GFN_NTOP(me);
2350 mp *x = n->r[n->n - 1];
2351 return (gf_pywrap(MP_COPY(x)));
2352}
2353
2354#define XFORMOP(name, NAME) \
2355 static PyObject *gfnmeth_##name(PyObject *me, PyObject *arg) \
2356 { \
2357 mp *xx = 0; \
2358 mp *z = 0; \
2359 \
2360 if (!PyArg_ParseTuple(arg, "O&:" #name, convgf, &xx)) goto end; \
2361 z = gfn_transform(GFN_##NAME(me), MP_NEW, xx); \
2362 end: \
2363 mp_drop(xx); \
2364 if (!z) return (0); \
2365 return (mp_pywrap(z)); \
2366 }
2367XFORMOP(pton, PTON)
2368XFORMOP(ntop, NTOP)
2369#undef XFORMOP
2370
2371static void gfn_pydealloc(PyObject *me)
2372{
2373 gfn_destroy(GFN_PTON(me));
2374 gfn_destroy(GFN_NTOP(me));
3aa33042 2375 FREEOBJ(me);
d7ab1bab 2376}
2377
2378static PyGetSetDef gfn_pygetset[] = {
2379#define GETSETNAME(op, name) gfn##op##_##name
2380 GET (p, "X.p -> polynomial basis, as polynomial")
2381 GET (beta, "X.beta -> normal basis element, in poly form")
2382#undef GETSETNAME
2383 { 0 }
2384};
2385
2386static PyMethodDef gfn_pymethods[] = {
2387#define METHNAME(name) gfnmeth_##name
2388 METH (pton, "X.pton(A) -> normal-basis representation of A")
2389 METH (ntop, "X.ntop(A) -> polynomial-basis representation of A")
2390#undef METHNAME
2391 { 0 }
2392};
2393
2394static PyTypeObject gfn_pytype_skel = {
6d4db0bf 2395 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 2396 "catacomb.GFN", /* @tp_name@ */
2397 sizeof(gfn_pyobj), /* @tp_basicsize@ */
2398 0, /* @tp_itemsize@ */
2399
2400 gfn_pydealloc, /* @tp_dealloc@ */
2401 0, /* @tp_print@ */
2402 0, /* @tp_getattr@ */
2403 0, /* @tp_setattr@ */
2404 0, /* @tp_compare@ */
2405 0, /* @tp_repr@ */
2406 0, /* @tp_as_number@ */
2407 0, /* @tp_as_sequence@ */
2408 0, /* @tp_as_mapping@ */
2409 0, /* @tp_hash@ */
2410 0, /* @tp_call@ */
2411 0, /* @tp_str@ */
2412 0, /* @tp_getattro@ */
2413 0, /* @tp_setattro@ */
2414 0, /* @tp_as_buffer@ */
2415 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2416 Py_TPFLAGS_BASETYPE,
2417
2418 /* @tp_doc@ */
2419"An object for transforming elements of binary fields between polynomial\n\
2420and normal basis representations.",
2421
2422 0, /* @tp_traverse@ */
2423 0, /* @tp_clear@ */
2424 0, /* @tp_richcompare@ */
2425 0, /* @tp_weaklistoffset@ */
2426 0, /* @tp_iter@ */
963a6148 2427 0, /* @tp_iternext@ */
d7ab1bab 2428 gfn_pymethods, /* @tp_methods@ */
2429 0, /* @tp_members@ */
2430 gfn_pygetset, /* @tp_getset@ */
2431 0, /* @tp_base@ */
2432 0, /* @tp_dict@ */
2433 0, /* @tp_descr_get@ */
2434 0, /* @tp_descr_set@ */
2435 0, /* @tp_dictoffset@ */
2436 0, /* @tp_init@ */
2437 PyType_GenericAlloc, /* @tp_alloc@ */
2438 gfn_pynew, /* @tp_new@ */
3aa33042 2439 0, /* @tp_free@ */
d7ab1bab 2440 0 /* @tp_is_gc@ */
2441};
2442
2443/*----- Glue --------------------------------------------------------------*/
2444
2445static PyMethodDef methods[] = {
2446#define METHNAME(func) meth_##func
b2687a0a 2447 KWMETH(_MP_fromstring, "\
d7ab1bab 2448fromstring(STR, radix = 0) -> (X, REST)\n\
2449\n\
2450Parse STR as a large integer, according to radix. If radix is zero,\n\
2451read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\
2452or `R_' for other radix R.")
b2687a0a 2453 KWMETH(_GF_fromstring, "\
d7ab1bab 2454fromstring(STR, radix = 0) -> (X, REST)\n\
2455\n\
2456Parse STR as a binary polynomial, according to radix. If radix is zero,\n\
2457read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\
2458or `R_' for other radix R.")
9f49c854
MW		 2459 METH (_MP_factorial, "\
2460factorial(I) -> I!: compute factorial")
d7ab1bab 2461 METH (_MP_loadl, "\
2462loadl(STR) -> X: read little-endian bytes")
2463 METH (_MP_loadb, "\
2464loadb(STR) -> X: read big-endian bytes")
2465 METH (_MP_loadl2c, "\
2466loadl2c(STR) -> X: read little-endian bytes, two's complement")
2467 METH (_MP_loadb2c, "\
2468loadb2c(STR) -> X: read big-endian bytes, two's complement")
2469 METH (_MP_frombuf, "\
2470frombuf(STR) -> (X, REST): read buffer format")
d7ab1bab 2471 METH (_GF_loadl, "\
2472loadl(STR) -> X: read little-endian bytes")
2473 METH (_GF_loadb, "\
2474loadb(STR) -> X: read big-endian bytes")
2475 METH (_GF_frombuf, "\
2476frombuf(STR) -> (X, REST): read buffer format")
2477#undef METHNAME
2478 { 0 }
2479};
2480
2481void mp_pyinit(void)
2482{
2483 INITTYPE(mp, root);
2484 INITTYPE(gf, root);
32507e35 2485 INITTYPE(mpmul, root);
d7ab1bab 2486 INITTYPE(mpmont, root);
2487 INITTYPE(mpbarrett, root);
2488 INITTYPE(mpreduce, root);
2489 INITTYPE(mpcrt, root);
2490 INITTYPE(gfreduce, root);
2491 INITTYPE(gfn, root);
2492 addmethods(methods);
2493}
2494
2495void mp_pyinsert(PyObject *mod)
2496{
2497 INSERT("MP", mp_pytype);
32507e35 2498 INSERT("MPMul", mpmul_pytype);
d7ab1bab 2499 INSERT("MPMont", mpmont_pytype);
2500 INSERT("MPBarrett", mpbarrett_pytype);
2501 INSERT("MPReduce", mpreduce_pytype);
2502 INSERT("MPCRT", mpcrt_pytype);
2503 INSERT("GF", gf_pytype);
2504 INSERT("GFReduce", gfreduce_pytype);
2505 INSERT("GFN", gfn_pytype);
2506}
2507
2508/*----- That's all, folks -------------------------------------------------*/
Catacomb cryptographic library -- Python bindings