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catacomb-python.h: Don't inhibit 64-bit type detection any more.
[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 */
c461c9b3 851 "MP", /* @tp_name@ */
d7ab1bab 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)
80f7cd89 924 VALERR("bad integer");
d7ab1bab 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
6313f40e
MW		 940static PyObject *meth__MP_fibonacci(PyObject *me, PyObject *arg)
941{
942 long i;
943 mp *x;
944 if (!PyArg_ParseTuple(arg, "Ol:fibonacci", &me, &i)) return (0);
945 x = mp_fibonacci(i);
946 return mp_pywrap(x);
947}
948
32507e35
MW		 949#define LOADOP(pre, py, name) \
950 static PyObject *meth__##py##_##name(PyObject *me, PyObject *arg) \
951 { \
952 char *p; \
953 int len; \
954 if (!PyArg_ParseTuple(arg, "Os#:" #name, &me, &p, &len)) return (0); \
955 return (pre##_pywrap(mp_##name(MP_NEW, p, len))); \
956 }
957LOADOP(mp, MP, loadl)
958LOADOP(mp, MP, loadb)
959LOADOP(mp, MP, loadl2c)
960LOADOP(mp, MP, loadb2c)
961LOADOP(gf, GF, loadl)
962LOADOP(gf, GF, loadb)
963#undef LOADOP
964
965/*----- Products of small integers ----------------------------------------*/
966
967typedef struct mpmul_pyobj {
968 PyObject_HEAD
969 int livep;
970 mpmul mm;
971} mpmul_pyobj;
972
973#define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep)
974#define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm)
975
976static void mpmul_pydealloc(PyObject *me)
977{
978 if (MPMUL_LIVEP(me))
979 mp_drop(mpmul_done(MPMUL_PY(me)));
980 FREEOBJ(me);
981}
982
983static PyObject *mmmeth_factor(PyObject *me, PyObject *arg)
d7ab1bab 984{
d7ab1bab 985 PyObject *q, *i;
986 mp *x;
987
32507e35
MW		 988 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
989 if (PyTuple_Size(arg) != 1)
d7ab1bab 990 i = PyObject_GetIter(arg);
32507e35
MW		 991 else {
992 if ((q = PyTuple_GetItem(arg, 0)) == 0) goto end;
d7ab1bab 993 if ((i = PyObject_GetIter(q)) == 0) {
994 PyErr_Clear(); /* that's ok */
995 i = PyObject_GetIter(arg);
996 }
997 }
32507e35 998 if (!i) goto end;
d7ab1bab 999 while ((q = PyIter_Next(i)) != 0) {
1000 x = getmp(q); Py_DECREF(q); if (!x) {
d7ab1bab 1001 Py_DECREF(i);
32507e35 1002 goto end;
d7ab1bab 1003 }
32507e35 1004 mpmul_add(MPMUL_PY(me), x);
d7ab1bab 1005 MP_DROP(x);
1006 }
d7ab1bab 1007 Py_DECREF(i);
32507e35
MW		 1008 RETURN_ME;
1009end:
1010 return (0);
1011}
1012
1013static PyObject *mmmeth_done(PyObject *me, PyObject *arg)
1014{
1015 mp *x;
1016
1017 if (!PyArg_ParseTuple(arg, ":done")) goto end;
1018 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
1019 x = mpmul_done(MPMUL_PY(me));
1020 MPMUL_LIVEP(me) = 0;
d7ab1bab 1021 return (mp_pywrap(x));
32507e35
MW		 1022end:
1023 return (0);
d7ab1bab 1024}
1025
32507e35
MW		 1026static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1027{
1028 mpmul_pyobj *mm;
1029
1030 if (kw) TYERR("keyword arguments not allowed here");
1031 mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0);
1032 mpmul_init(&mm->mm);
1033 mm->livep = 1;
1034 if (mmmeth_factor((PyObject *)mm, arg) == 0) {
1035 Py_DECREF(mm);
1036 goto end;
d7ab1bab 1037 }
32507e35
MW		 1038 return ((PyObject *)mm);
1039end:
1040 return (0);
1041}
1042
1043static PyObject *mmget_livep(PyObject *me, void *hunoz)
1044 { return (getbool(MPMUL_LIVEP(me))); }
1045
1046static PyGetSetDef mpmul_pygetset[] = {
1047#define GETSETNAME(op, name) mm##op##_##name
1048 GET (livep, "MM.livep -> flag: object still valid?")
1049#undef GETSETNAME
1050 { 0 }
1051};
1052
1053static PyMethodDef mpmul_pymethods[] = {
1054#define METHNAME(name) mmmeth_##name
1055 METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)")
1056 METH (done, "MM.done() -> PRODUCT")
1057#undef METHNAME
1058 { 0 }
1059};
1060
1061static PyTypeObject *mpmul_pytype, mpmul_pytype_skel = {
1062 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1063 "MPMul", /* @tp_name@ */
32507e35
MW		 1064 sizeof(mpmul_pyobj), /* @tp_basicsize@ */
1065 0, /* @tp_itemsize@ */
1066
1067 mpmul_pydealloc, /* @tp_dealloc@ */
1068 0, /* @tp_print@ */
1069 0, /* @tp_getattr@ */
1070 0, /* @tp_setattr@ */
1071 0, /* @tp_compare@ */
1072 0, /* @tp_repr@ */
1073 0, /* @tp_as_number@ */
1074 0, /* @tp_as_sequence@ */
1075 0, /* @tp_as_mapping@ */
1076 0, /* @tp_hash@ */
1077 0, /* @tp_call@ */
1078 0, /* @tp_str@ */
1079 0, /* @tp_getattro@ */
1080 0, /* @tp_setattro@ */
1081 0, /* @tp_as_buffer@ */
1082 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1083 Py_TPFLAGS_BASETYPE,
1084
1085 /* @tp_doc@ */
1086"An object for multiplying many small integers.",
1087
1088 0, /* @tp_traverse@ */
1089 0, /* @tp_clear@ */
1090 0, /* @tp_richcompare@ */
1091 0, /* @tp_weaklistoffset@ */
1092 0, /* @tp_iter@ */
1093 0, /* @tp_iternext@ */
1094 mpmul_pymethods, /* @tp_methods@ */
1095 0, /* @tp_members@ */
1096 mpmul_pygetset, /* @tp_getset@ */
1097 0, /* @tp_base@ */
1098 0, /* @tp_dict@ */
1099 0, /* @tp_descr_get@ */
1100 0, /* @tp_descr_set@ */
1101 0, /* @tp_dictoffset@ */
1102 0, /* @tp_init@ */
1103 PyType_GenericAlloc, /* @tp_alloc@ */
1104 mpmul_pynew, /* @tp_new@ */
1105 0, /* @tp_free@ */
1106 0 /* @tp_is_gc@ */
1107};
d7ab1bab 1108
1109/*----- Montgomery reduction ----------------------------------------------*/
1110
1111typedef struct mpmont_pyobj {
1112 PyObject_HEAD
1113 mpmont mm;
1114} mpmont_pyobj;
1115
1116#define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm)
1117
1118static PyObject *mmmeth_int(PyObject *me, PyObject *arg)
1119{
1120 PyObject *z = 0;
1121 mp *yy = 0;
1122 mpmont *mm = MPMONT_PY(me);
1123
1124 if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy))
1125 goto end;
1126 mp_div(0, &yy, yy, mm->m);
1127 z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2));
1128end:
1129 if (yy) MP_DROP(yy);
1130 return (z);
1131}
1132
1133static PyObject *mmmeth_mul(PyObject *me, PyObject *arg)
1134{
1135 PyObject *rc = 0;
1136 mp *yy = 0, *zz = 0;
1137
1138 if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz))
1139 goto end;
1140 rc = mp_pywrap(mpmont_mul(MPMONT_PY(me), MP_NEW, yy, zz));
1141end:
1142 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1143 return (rc);
1144}
1145
1146static PyObject *mmmeth_exp(PyObject *me, PyObject *arg)
1147{
1148 PyObject *rc = 0;
1149 mp *yy = 0, *zz = 0;
1150
1151 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1152 goto end;
1153 if (MP_NEGP(zz)) {
1154 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1155 zz = mp_neg(zz, zz);
1156 }
1157 rc = mp_pywrap(mpmont_exp(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 *mmmeth_expr(PyObject *me, PyObject *arg)
1164{
1165 PyObject *rc = 0;
1166 mp *yy = 0, *zz = 0;
1167
1168 if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz))
1169 goto end;
1170 if (MP_NEGP(zz)) {
1171 yy = mpmont_reduce(MPMONT_PY(me), yy, yy);
1172 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1173 yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2);
1174 zz = mp_neg(zz, zz);
1175 }
1176 rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz));
1177end:
1178 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1179 return (rc);
1180}
1181
1182static PyObject *mm_mexpr_id(PyObject *me)
1183 { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); }
1184
1185static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1186{
1187 mp *xx = 0, *yy = 0;
1188 mp_expfactor *f = p;
1189 mpmont *mm = MPMONT_PY(me);
1190
1191 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1192 goto fail;
1193 if (MP_NEGP(yy)) {
1194 xx = mpmont_reduce(mm, xx, xx);
1195 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1196 goto fail;
1197 xx = mpmont_mul(mm, xx, xx, mm->r2);
1198 yy = mp_neg(yy, yy);
1199 }
1200 f->base = xx;
1201 f->exp = yy;
1202 return (0);
1203
1204fail:
1205 mp_drop(xx); mp_drop(yy);
1206 return (-1);
1207}
1208
1209static PyObject *mm_mexpr(PyObject *me, void *v, int n)
1210 { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1211
d7ab1bab 1212static void mp_mexp_drop(void *p)
1213{
1214 mp_expfactor *f = p;
1215 mp_drop(f->base);
1216 mp_drop(f->exp);
1217}
1218
1219static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg)
1220{
1221 return mexp_common(me, arg, sizeof(mp_expfactor),
1222 mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop);
1223}
1224
1225static PyObject *mp_mexp_id(PyObject *me)
1226 { return mp_pywrap(MP_ONE); }
1227
1228static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1229{
1230 mp *xx = 0, *yy = 0;
1231 mp_expfactor *f = p;
1232
1233 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1234 goto fail;
1235 if (MP_NEGP(yy)) {
1236 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1237 goto fail;
1238 yy = mp_neg(yy, yy);
1239 }
1240 f->base = xx;
1241 f->exp = yy;
1242 return (0);
1243
1244fail:
1245 mp_drop(xx); mp_drop(yy);
1246 return (-1);
1247}
1248
1249static PyObject *mm_mexp(PyObject *me, void *v, int n)
1250 { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1251
d7ab1bab 1252static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg)
1253{
1254 return mexp_common(me, arg, sizeof(mp_expfactor),
1255 mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop);
1256}
1257
1258#define mmmeth_ext mmmeth_reduce
1259static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg)
1260{
1261 PyObject *z = 0;
1262 mp *yy = 0;
1263
1264 if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end;
1265 z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy));
1266end:
1267 return (z);
1268}
1269
1270static void mpmont_pydealloc(PyObject *me)
1271{
1272 mpmont_destroy(MPMONT_PY(me));
3aa33042 1273 FREEOBJ(me);
d7ab1bab 1274}
1275
1276static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1277{
1278 mpmont_pyobj *mm = 0;
1279 char *kwlist[] = { "m", 0 };
1280 mp *xx = 0;
1281
1282 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1283 goto end;
1284 if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd");
1285 mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0);
1286 mpmont_create(&mm->mm, xx);
1287end:
1288 if (xx) MP_DROP(xx);
1289 return ((PyObject *)mm);
1290}
1291
1292static PyObject *mmget_m(PyObject *me, void *hunoz)
1293 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); }
1294
1295static PyObject *mmget_r(PyObject *me, void *hunoz)
1296 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); }
1297
1298static PyObject *mmget_r2(PyObject *me, void *hunoz)
1299 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); }
1300
1301static PyGetSetDef mpmont_pygetset[] = {
1302#define GETSETNAME(op, name) mm##op##_##name
1303 GET (m, "M.m -> modulus for reduction")
1304 GET (r, "M.r -> multiplicative identity")
1305 GET (r2, "M.r2 -> M.r^2, Montgomerization factor")
1306#undef GETSETNAME
1307 { 0 }
1308};
1309
1310static PyMethodDef mpmont_pymethods[] = {
1311#define METHNAME(name) mmmeth_##name
986bcc44 1312 METH (int, "M.int(X) -> XR")
d7ab1bab 1313 METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y")
1314 METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m")
1315 METH (mexpr, "\
986bcc44 1316M.mexpr([(XR0, N0), (XR1, N1), ...]) = ZR where Z = X0^N0 X1^N1 ... mod M.m\n\
d7ab1bab 1317\t(the list may be flattened if this more convenient.)")
1318 METH (reduce, "M.reduce(XR) -> X")
1319 METH (ext, "M.ext(XR) -> X")
1320 METH (exp, "M.exp(X, N) -> X^N mod M.m")
1321 METH (mexp, "\
986bcc44 1322M.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 ... mod M.m\n\
d7ab1bab 1323\t(the list may be flattened if this more convenient.)")
1324#undef METHNAME
1325 { 0 }
1326};
1327
1328static PyTypeObject *mpmont_pytype, mpmont_pytype_skel = {
6d4db0bf 1329 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1330 "MPMont", /* @tp_name@ */
d7ab1bab 1331 sizeof(mpmont_pyobj), /* @tp_basicsize@ */
1332 0, /* @tp_itemsize@ */
1333
1334 mpmont_pydealloc, /* @tp_dealloc@ */
1335 0, /* @tp_print@ */
1336 0, /* @tp_getattr@ */
1337 0, /* @tp_setattr@ */
1338 0, /* @tp_compare@ */
1339 0, /* @tp_repr@ */
1340 0, /* @tp_as_number@ */
1341 0, /* @tp_as_sequence@ */
1342 0, /* @tp_as_mapping@ */
1343 0, /* @tp_hash@ */
1344 0, /* @tp_call@ */
1345 0, /* @tp_str@ */
1346 0, /* @tp_getattro@ */
1347 0, /* @tp_setattro@ */
1348 0, /* @tp_as_buffer@ */
1349 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1350 Py_TPFLAGS_BASETYPE,
1351
1352 /* @tp_doc@ */
1353"A Montgomery reduction context.",
1354
1355 0, /* @tp_traverse@ */
1356 0, /* @tp_clear@ */
1357 0, /* @tp_richcompare@ */
1358 0, /* @tp_weaklistoffset@ */
1359 0, /* @tp_iter@ */
963a6148 1360 0, /* @tp_iternext@ */
d7ab1bab 1361 mpmont_pymethods, /* @tp_methods@ */
1362 0, /* @tp_members@ */
1363 mpmont_pygetset, /* @tp_getset@ */
1364 0, /* @tp_base@ */
1365 0, /* @tp_dict@ */
1366 0, /* @tp_descr_get@ */
1367 0, /* @tp_descr_set@ */
1368 0, /* @tp_dictoffset@ */
1369 0, /* @tp_init@ */
1370 PyType_GenericAlloc, /* @tp_alloc@ */
1371 mpmont_pynew, /* @tp_new@ */
3aa33042 1372 0, /* @tp_free@ */
d7ab1bab 1373 0 /* @tp_is_gc@ */
1374};
1375
1376/*----- Barrett reduction -------------------------------------------------*/
1377
1378typedef struct mpbarrett_pyobj {
1379 PyObject_HEAD
1380 mpbarrett mb;
1381} mpbarrett_pyobj;
1382
1383#define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb)
1384
1385static PyObject *mbmeth_exp(PyObject *me, PyObject *arg)
1386{
1387 PyObject *rc = 0;
1388 mp *yy = 0, *zz = 0;
1389
1390 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1391 goto end;
1392 if (MP_NEGP(zz)) {
1393 if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end;
1394 zz = mp_neg(zz, zz);
1395 }
1396 rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz));
1397end:
1398 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1399 return (rc);
1400}
1401
1402static PyObject *mb_mexp(PyObject *me, void *v, int n)
1403 { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); }
b2687a0a 1404
d7ab1bab 1405static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg)
1406{
1407 return mexp_common(me, arg, sizeof(mp_expfactor),
1408 mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop);
1409}
1410
1411static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg)
1412{
1413 PyObject *z = 0;
1414 mp *yy = 0;
1415
1416 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy))
1417 goto end;
1418 z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy));
1419end:
1420 return (z);
1421}
1422
1423static void mpbarrett_pydealloc(PyObject *me)
1424{
1425 mpbarrett_destroy(MPBARRETT_PY(me));
3aa33042 1426 FREEOBJ(me);
d7ab1bab 1427}
1428
1429static PyObject *mpbarrett_pynew(PyTypeObject *ty,
1430 PyObject *arg, PyObject *kw)
1431{
1432 mpbarrett_pyobj *mb = 0;
1433 char *kwlist[] = { "m", 0 };
1434 mp *xx = 0;
1435
1436 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1437 goto end;
1438 if (!MP_POSP(xx)) VALERR("m must be positive");
1439 mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0);
1440 mpbarrett_create(&mb->mb, xx);
1441end:
1442 if (xx) MP_DROP(xx);
1443 return ((PyObject *)mb);
1444}
1445
1446static PyObject *mbget_m(PyObject *me, void *hunoz)
1447 { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); }
1448
1449static PyGetSetDef mpbarrett_pygetset[] = {
1450#define GETSETNAME(op, name) mb##op##_##name
1451 GET (m, "B.m -> modulus for reduction")
1452#undef GETSETNAME
1453 { 0 }
1454};
1455
1456static PyMethodDef mpbarrett_pymethods[] = {
1457#define METHNAME(name) mbmeth_##name
1458 METH (reduce, "B.reduce(X) -> X mod B.m")
1459 METH (exp, "B.exp(X, N) -> X^N mod B.m")
1460 METH (mexp, "\
986bcc44 1461B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 ... mod B.m\n\
d7ab1bab 1462\t(the list may be flattened if this more convenient.)")
1463#undef METHNAME
1464 { 0 }
1465};
1466
1467static PyTypeObject *mpbarrett_pytype, mpbarrett_pytype_skel = {
6d4db0bf 1468 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1469 "MPBarrett", /* @tp_name@ */
d7ab1bab 1470 sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */
1471 0, /* @tp_itemsize@ */
1472
1473 mpbarrett_pydealloc, /* @tp_dealloc@ */
1474 0, /* @tp_print@ */
1475 0, /* @tp_getattr@ */
1476 0, /* @tp_setattr@ */
1477 0, /* @tp_compare@ */
1478 0, /* @tp_repr@ */
1479 0, /* @tp_as_number@ */
1480 0, /* @tp_as_sequence@ */
1481 0, /* @tp_as_mapping@ */
1482 0, /* @tp_hash@ */
1483 0, /* @tp_call@ */
1484 0, /* @tp_str@ */
1485 0, /* @tp_getattro@ */
1486 0, /* @tp_setattro@ */
1487 0, /* @tp_as_buffer@ */
1488 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1489 Py_TPFLAGS_BASETYPE,
1490
1491 /* @tp_doc@ */
1492"A Barrett reduction context.",
1493
1494 0, /* @tp_traverse@ */
1495 0, /* @tp_clear@ */
1496 0, /* @tp_richcompare@ */
1497 0, /* @tp_weaklistoffset@ */
1498 0, /* @tp_iter@ */
963a6148 1499 0, /* @tp_iternext@ */
d7ab1bab 1500 mpbarrett_pymethods, /* @tp_methods@ */
1501 0, /* @tp_members@ */
1502 mpbarrett_pygetset, /* @tp_getset@ */
1503 0, /* @tp_base@ */
1504 0, /* @tp_dict@ */
1505 0, /* @tp_descr_get@ */
1506 0, /* @tp_descr_set@ */
1507 0, /* @tp_dictoffset@ */
1508 0, /* @tp_init@ */
1509 PyType_GenericAlloc, /* @tp_alloc@ */
1510 mpbarrett_pynew, /* @tp_new@ */
3aa33042 1511 0, /* @tp_free@ */
d7ab1bab 1512 0 /* @tp_is_gc@ */
1513};
1514
1515/*----- Nice prime reduction ----------------------------------------------*/
1516
1517typedef struct mpreduce_pyobj {
1518 PyObject_HEAD
1519 mpreduce mr;
1520} mpreduce_pyobj;
1521
1522#define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr)
1523
1524static PyObject *mrmeth_exp(PyObject *me, PyObject *arg)
1525{
1526 PyObject *rc = 0;
1527 mp *yy = 0, *zz = 0;
1528
1529 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1530 goto end;
1531 if (MP_NEGP(zz)) {
1532 if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end;
1533 zz = mp_neg(zz, zz);
1534 }
1535 rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz));
1536end:
1537 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1538 return (rc);
1539}
1540
1541static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg)
1542{
1543 PyObject *z = 0;
1544 mp *yy = 0;
1545
1546 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end;
1547 z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy));
1548end:
1549 return (z);
1550}
1551
1552static void mpreduce_pydealloc(PyObject *me)
1553{
1554 mpreduce_destroy(MPREDUCE_PY(me));
3aa33042 1555 FREEOBJ(me);
d7ab1bab 1556}
1557
1558static PyObject *mpreduce_pynew(PyTypeObject *ty,
1559 PyObject *arg, PyObject *kw)
1560{
1561 mpreduce_pyobj *mr = 0;
1562 mpreduce r;
1563 char *kwlist[] = { "m", 0 };
1564 mp *xx = 0;
1565
1566 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1567 goto end;
1568 if (!MP_POSP(xx)) VALERR("m must be positive");
1569 if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)");
1570 mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0);
1571 mr->mr = r;
1572end:
1573 if (xx) MP_DROP(xx);
1574 return ((PyObject *)mr);
1575}
1576
1577static PyObject *mrget_m(PyObject *me, void *hunoz)
1578 { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); }
1579
1580static PyGetSetDef mpreduce_pygetset[] = {
1581#define GETSETNAME(op, name) mr##op##_##name
1582 GET (m, "R.m -> modulus for reduction")
1583#undef GETSETNAME
1584 { 0 }
1585};
1586
1587static PyMethodDef mpreduce_pymethods[] = {
1588#define METHNAME(name) mrmeth_##name
1589 METH (reduce, "R.reduce(X) -> X mod B.m")
1590 METH (exp, "R.exp(X, N) -> X^N mod B.m")
1591#undef METHNAME
1592 { 0 }
1593};
1594
1595static PyTypeObject *mpreduce_pytype, mpreduce_pytype_skel = {
6d4db0bf 1596 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1597 "MPReduce", /* @tp_name@ */
d7ab1bab 1598 sizeof(mpreduce_pyobj), /* @tp_basicsize@ */
1599 0, /* @tp_itemsize@ */
1600
1601 mpreduce_pydealloc, /* @tp_dealloc@ */
1602 0, /* @tp_print@ */
1603 0, /* @tp_getattr@ */
1604 0, /* @tp_setattr@ */
1605 0, /* @tp_compare@ */
1606 0, /* @tp_repr@ */
1607 0, /* @tp_as_number@ */
1608 0, /* @tp_as_sequence@ */
1609 0, /* @tp_as_mapping@ */
1610 0, /* @tp_hash@ */
1611 0, /* @tp_call@ */
1612 0, /* @tp_str@ */
1613 0, /* @tp_getattro@ */
1614 0, /* @tp_setattro@ */
1615 0, /* @tp_as_buffer@ */
1616 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1617 Py_TPFLAGS_BASETYPE,
1618
1619 /* @tp_doc@ */
1620"A reduction context for reduction modulo primes of special form.",
1621
1622 0, /* @tp_traverse@ */
1623 0, /* @tp_clear@ */
1624 0, /* @tp_richcompare@ */
1625 0, /* @tp_weaklistoffset@ */
1626 0, /* @tp_iter@ */
963a6148 1627 0, /* @tp_iternext@ */
d7ab1bab 1628 mpreduce_pymethods, /* @tp_methods@ */
1629 0, /* @tp_members@ */
1630 mpreduce_pygetset, /* @tp_getset@ */
1631 0, /* @tp_base@ */
1632 0, /* @tp_dict@ */
1633 0, /* @tp_descr_get@ */
1634 0, /* @tp_descr_set@ */
1635 0, /* @tp_dictoffset@ */
1636 0, /* @tp_init@ */
1637 PyType_GenericAlloc, /* @tp_alloc@ */
1638 mpreduce_pynew, /* @tp_new@ */
3aa33042 1639 0, /* @tp_free@ */
d7ab1bab 1640 0 /* @tp_is_gc@ */
1641};
1642
1643/*----- Chinese Remainder Theorem solution --------------------------------*/
1644
1645typedef struct mpcrt_pyobj {
1646 PyObject_HEAD
1647 mpcrt c;
1648} mpcrt_pyobj;
1649
1650#define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c)
1651
1652static PyObject *mcmeth_solve(PyObject *me, PyObject *arg)
1653{
1654 mpcrt *c = MPCRT_PY(me);
1655 PyObject *q = 0, *x, *z = 0;
1656 mp *xx;
1657 mp **v = 0;
1658 int i = 0, n = c->k;
1659
1660 Py_INCREF(me);
1661 if (PyTuple_Size(arg) == n)
1662 q = arg;
1663 else if (!PyArg_ParseTuple(arg, "O:solve", &q))
1664 goto end;
1665 Py_INCREF(q);
1666 if (!PySequence_Check(q)) TYERR("want a sequence of residues");
1667 if (PySequence_Size(q) != n) VALERR("residue count mismatch");
1668 v = xmalloc(n * sizeof(*v));
1669 for (i = 0; i < n; i++) {
1670 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1671 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1672 v[i] = xx;
1673 }
1674 z = mp_pywrap(mpcrt_solve(c, MP_NEW, v));
1675end:
1676 if (v) {
1677 n = i;
1678 for (i = 0; i < n; i++)
1679 MP_DROP(v[i]);
1680 xfree(v);
1681 }
1682 Py_DECREF(me);
1683 Py_XDECREF(q);
1684 return (z);
1685}
1686
1687static void mpcrt_pydealloc(PyObject *me)
1688{
1689 mpcrt *c = MPCRT_PY(me);
1690 mpcrt_destroy(c);
1691 xfree(c->v);
1692}
1693
1694static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1695{
1696 mpcrt_mod *v = 0;
1697 int n, i = 0;
1698 char *kwlist[] = { "mv", 0 };
1699 PyObject *q = 0, *x;
1700 mp *xx;
1701 mpcrt_pyobj *c = 0;
1702
1703 if (PyTuple_Size(arg) > 1)
1704 q = arg;
1705 else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", kwlist, &q))
1706 goto end;
1707 Py_INCREF(q);
1708 if (!PySequence_Check(q)) TYERR("want a sequence of moduli");
1709 n = PySequence_Size(q);
1710 if (PyErr_Occurred()) goto end;
1711 if (!n) VALERR("want at least one modulus");
1712 v = xmalloc(n * sizeof(*v));
1713 for (i = 0; i < n; i++) {
1714 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1715 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1716 v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0;
1717 }
1718 c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0);
1719 mpcrt_create(&c->c, v, n, 0);
1720 Py_DECREF(q);
1721 return ((PyObject *)c);
1722
1723end:
1724 if (v) {
1725 n = i;
1726 for (i = 0; i < n; i++)
1727 MP_DROP(v[i].m);
1728 xfree(v);
1729 }
1730 Py_XDECREF(q);
1731 return (0);
1732}
1733
1734static PyObject *mcget_product(PyObject *me, void *hunoz)
1735 { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); }
1736
1737static PyObject *mcget_moduli(PyObject *me, void *hunoz)
1738{
1739 int i;
1740 PyObject *q;
1741 mpcrt *c = MPCRT_PY(me);
1742
1743 if ((q = PyList_New(c->k)) == 0) return (0);
1744 for (i = 0; i < c->k; i++)
1745 PyList_SetItem(q, i, mp_pywrap(c->v[i].m));
1746 return (q);
1747}
1748
1749static PyGetSetDef mpcrt_pygetset[] = {
1750#define GETSETNAME(op, name) mc##op##_##name
1751 GET (product, "C.product -> product of moduli")
1752 GET (moduli, "C.moduli -> list of individual moduli")
1753#undef GETSETNAME
1754 { 0 }
1755};
1756
1757static PyMethodDef mpcrt_pymethods[] = {
1758#define METHNAME(name) mcmeth_##name
1759 METH (solve, "C.solve([R0, R1]) -> X mod C.product")
1760#undef METHNAME
1761 { 0 }
1762};
1763
1764static PyTypeObject *mpcrt_pytype, mpcrt_pytype_skel = {
6d4db0bf 1765 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1766 "MPCRT", /* @tp_name@ */
d7ab1bab 1767 sizeof(mpcrt_pyobj), /* @tp_basicsize@ */
1768 0, /* @tp_itemsize@ */
1769
1770 mpcrt_pydealloc, /* @tp_dealloc@ */
1771 0, /* @tp_print@ */
1772 0, /* @tp_getattr@ */
1773 0, /* @tp_setattr@ */
1774 0, /* @tp_compare@ */
1775 0, /* @tp_repr@ */
1776 0, /* @tp_as_number@ */
1777 0, /* @tp_as_sequence@ */
1778 0, /* @tp_as_mapping@ */
1779 0, /* @tp_hash@ */
1780 0, /* @tp_call@ */
1781 0, /* @tp_str@ */
1782 0, /* @tp_getattro@ */
1783 0, /* @tp_setattro@ */
1784 0, /* @tp_as_buffer@ */
1785 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1786 Py_TPFLAGS_BASETYPE,
1787
1788 /* @tp_doc@ */
1789"A context for the solution of Chinese Remainder Theorem problems.",
1790
1791 0, /* @tp_traverse@ */
1792 0, /* @tp_clear@ */
1793 0, /* @tp_richcompare@ */
1794 0, /* @tp_weaklistoffset@ */
1795 0, /* @tp_iter@ */
963a6148 1796 0, /* @tp_iternext@ */
d7ab1bab 1797 mpcrt_pymethods, /* @tp_methods@ */
1798 0, /* @tp_members@ */
1799 mpcrt_pygetset, /* @tp_getset@ */
1800 0, /* @tp_base@ */
1801 0, /* @tp_dict@ */
1802 0, /* @tp_descr_get@ */
1803 0, /* @tp_descr_set@ */
1804 0, /* @tp_dictoffset@ */
1805 0, /* @tp_init@ */
1806 PyType_GenericAlloc, /* @tp_alloc@ */
1807 mpcrt_pynew, /* @tp_new@ */
3aa33042 1808 0, /* @tp_free@ */
d7ab1bab 1809 0 /* @tp_is_gc@ */
1810};
1811
1812/*----- Binary polynomials ------------------------------------------------*/
1813
1814static PyObject *gf_pyrepr(PyObject *o)
1815 { return mp_topystring(MP_X(o), 16, "GF(", "0x", "L)"); }
1816
1817static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op)
1818{
1819 mp *xx, *yy;
1820 int xl, yl;
1821 int b;
1822
bf8910bd 1823 if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL;
d7ab1bab 1824 switch (op) {
1825 case Py_EQ: b = MP_EQ(xx, yy); break;
1826 case Py_NE: b = !MP_EQ(xx, yy); break;
1827 default:
1828 xl = mp_bits(xx);
1829 yl = mp_bits(yy);
1830 switch (op) {
1831 case Py_LT: b = xl < yl; break;
1832 case Py_LE: b = xl <= yl; break;
1833 case Py_GT: b = xl > yl; break;
1834 case Py_GE: b = xl >= yl; break;
1835 default: abort();
1836 }
1837 break;
1838 }
1839 MP_DROP(xx); MP_DROP(yy);
1840 return (getbool(b));
1841}
1842
1843static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1844{
1845 PyObject *x;
1846 mp *z;
1847 mp_pyobj *zz = 0;
1848 int radix = 0;
1849 char *kwlist[] = { "x", "radix", 0 };
1850
1851 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", kwlist, &x, &radix))
1852 goto end;
1853 if (GF_PYCHECK(x)) RETURN_OBJ(x);
f368b46e 1854 if (!good_radix_p(radix, 1)) VALERR("radix out of range");
d7ab1bab 1855 if ((z = mp_frompyobject(x, radix)) == 0) {
1856 PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf",
1857 x->ob_type->tp_name);
1858 goto end;
1859 }
1860 if (MP_NEGP(z)) {
1861 MP_DROP(z);
1862 VALERR("gf cannot be negative");
1863 }
1864 zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
1865 zz->x = z;
1866end:
1867 return ((PyObject *)zz);
1868}
1869
1870static long gf_pyhash(PyObject *me)
1871{
1872 long i = mp_tolong(MP_X(me));
1873 i ^= 0xc7ecd67c; /* random perturbance */
1874 if (i == -1)
1875 i = -2;
1876 return (i);
1877}
1878
1879static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z)
1880{
1881 mp *xx = 0, *yy = 0, *zz = 0;
1882 mp *r = 0;
1883 PyObject *rc = 0;
1884
1885 if ((xx = tomp(x)) == 0 || (yy = tomp(y)) == 0 ||
1886 (z && z != Py_None && (zz = tomp(z)) == 0)) {
1887 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1888 RETURN_NOTIMPL;
1889 }
1890 if (!z || z == Py_None) {
1891 if (MP_NEGP(yy)) VALERR("negative exponent");
1892 r = gf_exp(MP_NEW, xx, yy);
1893 } else {
1894 gfreduce gr;
1895 if (MP_ZEROP(zz)) ZDIVERR("zero modulus");
1896 if (MP_NEGP(yy)) {
1897 if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end;
1898 yy = mp_neg(yy, yy);
1899 }
1900 gfreduce_create(&gr, zz);
1901 r = gfreduce_exp(&gr, MP_NEW, xx, yy);
1902 gfreduce_destroy(&gr);
1903 }
1904 rc = gf_pywrap(r);
1905end:
1906 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1907 return (rc);
1908}
1909
1910static PyObject *gfmeth_sqr(PyObject *me, PyObject *arg)
1911{
1912 if (!PyArg_ParseTuple(arg, ":sqr")) return (0);
1913 return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me))));
1914}
1915
1916static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg)
1917{
1918 PyObject *z = 0;
1919 mp *yy = 0, *zz = MP_NEW;
1920
1921 if (!PyArg_ParseTuple(arg, "O&:gcd", convgf, &yy)) goto end;
1922 gf_gcd(&zz, 0, 0, MP_X(me), yy);
1923 z = gf_pywrap(zz);
1924end:
1925 if (yy) MP_DROP(yy);
1926 return (z);
1927}
1928
1929static PyObject *gfmeth_gcdx(PyObject *me, PyObject *arg)
1930{
1931 PyObject *z = 0;
1932 mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW;
1933
1934 if (!PyArg_ParseTuple(arg, "O&:gcdx", convgf, &yy))
1935 goto end;
1936 gf_gcd(&zz, &uu, &vv, MP_X(me), yy);
1937 z = Py_BuildValue("(NNN)",
1938 gf_pywrap(zz), gf_pywrap(uu), gf_pywrap(vv));
1939end:
1940 if (yy) MP_DROP(yy);
1941 return (z);
1942}
1943
1944static PyObject *gfmeth_modinv(PyObject *me, PyObject *arg)
1945{
1946 PyObject *z = 0;
1947 mp *yy = 0, *zz = MP_NEW;
1948
1949 if (!PyArg_ParseTuple(arg, "O&:modinv", convgf, &yy) ||
1950 (zz = gf_modinv_checked(MP_NEW, yy, MP_X(me))) == 0)
1951 goto end;
1952 z = gf_pywrap(zz);
1953end:
1954 if (yy) MP_DROP(yy);
1955 return (z);
1956}
1957
1958static PyObject *gfmeth_irreduciblep(PyObject *me, PyObject *arg)
1959{
1960 if (!PyArg_ParseTuple(arg, ":irreduciblep")) return (0);
1961 return getbool(gf_irreduciblep(MP_X(me)));
1962}
1963
1964static PyObject *gfget_degree(PyObject *me, void *hunoz)
1965 { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); }
1966
1967static PyGetSetDef gf_pygetset[] = {
1968#define GETSETNAME(op, name) gf##op##_##name
1969 GET (degree, "X.degree -> polynomial degree of X")
1970#undef GETSETNAME
1971#define GETSETNAME(op, name) mp##op##_##name
1972 GET (nbits, "X.nbits -> bit length of X")
1973 GET (noctets, "X.noctets -> octet length of X")
1974#undef GETSETNAME
1975 { 0 }
1976};
1977
1978static PyMethodDef gf_pymethods[] = {
1979#define METHNAME(func) gfmeth_##func
1980 METH (setbit, "X.setbit(N) -> X with bit N set")
1981 METH (clearbit, "X.clearbit(N) -> X with bit N clear")
1982 METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
1983 METH (sqr, "X.sqr() -> X^2")
1984 METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
1985 METH (gcdx,
1986 "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
1987 METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
b2687a0a 1988 METH (irreduciblep, "X.irreduciblep() -> true/false")
d7ab1bab 1989#undef METHNAME
1990#define METHNAME(func) mpmeth_##func
1991 KWMETH(tostring, "X.tostring(radix = 10) -> STR")
1992 KWMETH(storel, "X.storel(len = -1) -> little-endian bytes")
1993 KWMETH(storeb, "X.storeb(len = -1) -> big-endian bytes")
1994 KWMETH(storel2c,
1995 "X.storel2c(len = -1) -> little-endian bytes, two's complement")
1996 KWMETH(storeb2c,
1997 "X.storeb2c(len = -1) -> big-endian bytes, two's complement")
1998 METH (tobuf, "X.tobuf() -> buffer format")
1999#undef METHNAME
2000 { 0 }
2001};
2002
2003static PyNumberMethods gf_pynumber = {
2004 gf_pyadd, /* @nb_add@ */
2005 gf_pysub, /* @nb_subtract@ */
2006 gf_pymul, /* @nb_multiply@ */
2007 0, /* @nb_divide@ */
2008 gf_pymod, /* @nb_remainder@ */
2009 gf_pydivmod, /* @nb_divmod@ */
2010 gf_pyexp, /* @nb_power@ */
2011 mp_pyid, /* @nb_negative@ */
2012 mp_pyid, /* @nb_positive@ */
2013 mp_pyid, /* @nb_absolute@ */
2014 mp_pynonzerop, /* @nb_nonzero@ */
2015 0 /* doesn't make any sense */, /* @nb_invert@ */
2016 gf_pylsl, /* @nb_lshift@ */
2017 gf_pylsr, /* @nb_rshift@ */
2018 gf_pyand, /* @nb_and@ */
2019 gf_pyxor, /* @nb_xor@ */
2020 gf_pyor, /* @nb_or@ */
2021 gf_pycoerce, /* @nb_coerce@ */
2022 mp_pyint, /* @nb_int@ */
2023 mp_pylong, /* @nb_long@ */
2024 0 /* doesn't make any sense */, /* @nb_float@ */
2025 mp_pyoct, /* @nb_oct@ */
2026 mp_pyhex, /* @nb_hex@ */
2027
2028 0, /* @nb_inplace_add@ */
2029 0, /* @nb_inplace_subtract@ */
2030 0, /* @nb_inplace_multiply@ */
2031 0, /* @nb_inplace_divide@ */
2032 0, /* @nb_inplace_remainder@ */
2033 0, /* @nb_inplace_power@ */
2034 0, /* @nb_inplace_lshift@ */
2035 0, /* @nb_inplace_rshift@ */
2036 0, /* @nb_inplace_and@ */
2037 0, /* @nb_inplace_xor@ */
2038 0, /* @nb_inplace_or@ */
2039
2040 gf_pydiv, /* @nb_floor_divide@ */
2041 0, /* @nb_true_divide@ */
2042 0, /* @nb_inplace_floor_divide@ */
2043 0, /* @nb_inplace_true_divide@ */
2044};
2045
2046static PyTypeObject gf_pytype_skel = {
6d4db0bf 2047 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 2048 "GF", /* @tp_name@ */
d7ab1bab 2049 sizeof(mp_pyobj), /* @tp_basicsize@ */
2050 0, /* @tp_itemsize@ */
2051
2052 mp_pydealloc, /* @tp_dealloc@ */
2053 0, /* @tp_print@ */
2054 0, /* @tp_getattr@ */
2055 0, /* @tp_setattr@ */
2056 0, /* @tp_compare@ */
2057 gf_pyrepr, /* @tp_repr@ */
2058 &gf_pynumber, /* @tp_as_number@ */
2059 0, /* @tp_as_sequence@ */
2060 0, /* @tp_as_mapping@ */
2061 gf_pyhash, /* @tp_hash@ */
2062 0, /* @tp_call@ */
2063 mp_pyhex, /* @tp_str@ */
2064 0, /* @tp_getattro@ */
2065 0, /* @tp_setattro@ */
2066 0, /* @tp_as_buffer@ */
2067 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2068 Py_TPFLAGS_CHECKTYPES |
2069 Py_TPFLAGS_BASETYPE,
2070
2071 /* @tp_doc@ */
2072"Binary polynomials. Support almost all the standard arithmetic\n\
2073operations.\n\
2074\n\
2075Constructor gf(X, radix = R) attempts to convert X to a `gf'. If\n\
2076X is a string, it's read in radix-R form, or we look for a prefix\n\
2077if R = 0. Other acceptable things are ints and longs.\n\
2078\n\
2079The name is hopelessly wrong from a technical point of view, but\n\
2080but it's much easier to type than `p2' or `c2' or whatever.\n\
2081\n\
2082Notes:\n\
2083\n\
2084 * Use `//' for division. GFs don't have `/' division.",
2085
2086 0, /* @tp_traverse@ */
2087 0, /* @tp_clear@ */
2088 gf_pyrichcompare, /* @tp_richcompare@ */
2089 0, /* @tp_weaklistoffset@ */
2090 0, /* @tp_iter@ */
963a6148 2091 0, /* @tp_iternext@ */
d7ab1bab 2092 gf_pymethods, /* @tp_methods@ */
2093 0, /* @tp_members@ */
2094 gf_pygetset, /* @tp_getset@ */
2095 0, /* @tp_base@ */
2096 0, /* @tp_dict@ */
2097 0, /* @tp_descr_get@ */
2098 0, /* @tp_descr_set@ */
2099 0, /* @tp_dictoffset@ */
2100 0, /* @tp_init@ */
2101 PyType_GenericAlloc, /* @tp_alloc@ */
2102 gf_pynew, /* @tp_new@ */
3aa33042 2103 0, /* @tp_free@ */
d7ab1bab 2104 0 /* @tp_is_gc@ */
2105};
2106
2107static PyObject *meth__GF_fromstring(PyObject *me,
2108 PyObject *arg, PyObject *kw)
2109{
2110 int r = 0;
2111 char *p;
2112 int len;
2113 PyObject *z = 0;
2114 mp *zz;
2115 mptext_stringctx sc;
2116 char *kwlist[] = { "class", "x", "radix", 0 };
2117
2118 if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring",
2119 kwlist, &me, &p, &len, &r))
2120 goto end;
4b3890c7 2121 if (!good_radix_p(r, 1)) VALERR("bad radix");
d7ab1bab 2122 sc.buf = p; sc.lim = p + len;
4b3890c7
MW		 2123 if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 ||
2124 MP_NEGP(zz)) {
2125 if (zz) MP_DROP(zz);
80f7cd89 2126 VALERR("bad binary polynomial");
4b3890c7
MW		 2127 }
2128 z = Py_BuildValue("(Ns#)", gf_pywrap(zz), sc.buf, (int)(sc.lim - sc.buf));
d7ab1bab 2129end:
2130 return (z);
2131}
2132
2133/*----- Sparse poly reduction ---------------------------------------------*/
2134
2135typedef struct gfreduce_pyobj {
2136 PyObject_HEAD
2137 gfreduce mr;
2138} gfreduce_pyobj;
2139
2140#define GFREDUCE_PY(o) (&((gfreduce_pyobj *)(o))->mr)
2141
2142static PyObject *grmeth_exp(PyObject *me, PyObject *arg)
2143{
2144 PyObject *rc = 0;
2145 mp *yy = 0, *zz = 0;
2146
2147 if (!PyArg_ParseTuple(arg, "O&O&:exp", convgf, &yy, convgf, &zz))
2148 goto end;
2149 if (MP_NEGP(zz)) {
2150 if ((yy = gf_modinv_checked(yy, yy, GFREDUCE_PY(me)->p)) == 0) goto end;
2151 zz = mp_neg(zz, zz);
2152 }
2153 rc = gf_pywrap(gfreduce_exp(GFREDUCE_PY(me), MP_NEW, yy, zz));
2154end:
2155 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
2156 return (rc);
2157}
2158
fbc145f3
MW		 2159static PyObject *grmeth_trace(PyObject *me, PyObject *arg)
2160{
2161 PyObject *rc = 0;
2162 mp *xx = 0;
2163
2164 if (!PyArg_ParseTuple(arg, "O&:trace", convgf, &xx)) goto end;
2165 rc = PyInt_FromLong(gfreduce_trace(GFREDUCE_PY(me), xx));
2166end:
2167 if (xx) MP_DROP(xx);
2168 return (rc);
2169}
2170
2171static PyObject *grmeth_halftrace(PyObject *me, PyObject *arg)
2172{
2173 PyObject *rc = 0;
2174 mp *xx = 0;
2175
2176 if (!PyArg_ParseTuple(arg, "O&:halftrace", convgf, &xx)) goto end;
2177 rc = gf_pywrap(gfreduce_halftrace(GFREDUCE_PY(me), MP_NEW, xx));
2178end:
2179 if (xx) MP_DROP(xx);
2180 return (rc);
2181}
2182
2183static PyObject *grmeth_sqrt(PyObject *me, PyObject *arg)
2184{
2185 PyObject *rc = 0;
2186 mp *xx = 0, *yy;
2187
2188 if (!PyArg_ParseTuple(arg, "O&:sqrt", convgf, &xx)) goto end;
2189 if ((yy = gfreduce_sqrt(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
2190 VALERR("no modular square root");
2191 rc = gf_pywrap(yy);
2192end:
2193 if (xx) MP_DROP(xx);
2194 return (rc);
2195}
2196
2197static PyObject *grmeth_quadsolve(PyObject *me, PyObject *arg)
2198{
2199 PyObject *rc = 0;
2200 mp *xx = 0, *yy;
2201
2202 if (!PyArg_ParseTuple(arg, "O&:quadsolve", convgf, &xx)) goto end;
2203 if ((yy = gfreduce_quadsolve(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
2204 VALERR("no solution found");
2205 rc = gf_pywrap(yy);
2206end:
2207 if (xx) MP_DROP(xx);
2208 return (rc);
2209}
2210
d7ab1bab 2211static PyObject *grmeth_reduce(PyObject *me, PyObject *arg)
2212{
2213 PyObject *z = 0;
2214 mp *yy = 0;
2215
2216 if (!PyArg_ParseTuple(arg, "O&:reduce", convgf, &yy)) goto end;
2217 z = gf_pywrap(gfreduce_do(GFREDUCE_PY(me), MP_NEW, yy));
2218end:
2219 return (z);
2220}
2221
2222static void gfreduce_pydealloc(PyObject *me)
2223{
2224 gfreduce_destroy(GFREDUCE_PY(me));
3aa33042 2225 FREEOBJ(me);
d7ab1bab 2226}
2227
2228static PyObject *gfreduce_pynew(PyTypeObject *ty,
2229 PyObject *arg, PyObject *kw)
2230{
2231 gfreduce_pyobj *mr = 0;
2232 gfreduce r;
2233 char *kwlist[] = { "m", 0 };
2234 mp *xx = 0;
2235
2236 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convgf, &xx))
2237 goto end;
2238 if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!");
2239 gfreduce_create(&r, xx);
2240 mr = (gfreduce_pyobj *)ty->tp_alloc(ty, 0);
2241 mr->mr = r;
2242end:
2243 if (xx) MP_DROP(xx);
2244 return ((PyObject *)mr);
2245}
2246
2247static PyObject *grget_m(PyObject *me, void *hunoz)
2248 { return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); }
2249
2250static PyGetSetDef gfreduce_pygetset[] = {
2251#define GETSETNAME(op, name) gr##op##_##name
2252 GET (m, "R.m -> reduction polynomial")
2253#undef GETSETNAME
2254 { 0 }
2255};
2256
2257static PyMethodDef gfreduce_pymethods[] = {
2258#define METHNAME(name) grmeth_##name
2259 METH (reduce, "R.reduce(X) -> X mod B.m")
fbc145f3
MW		 2260 METH (trace, "R.trace(X) -> Tr(X) = x + x^2 + ... + x^{2^{m - 1}}")
2261 METH (halftrace, "R.halftrace(X) -> x + x^{2^2} + ... + x^{2^{m - 1}}")
2262 METH (sqrt, "R.sqrt(X) -> Y where Y^2 = X mod R")
2263 METH (quadsolve, "R.quadsolve(X) -> Y where Y^2 + Y = X mod R")
d7ab1bab 2264 METH (exp, "R.exp(X, N) -> X^N mod B.m")
2265#undef METHNAME
2266 { 0 }
2267};
2268
2269static PyTypeObject *gfreduce_pytype, gfreduce_pytype_skel = {
6d4db0bf 2270 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 2271 "GFReduce", /* @tp_name@ */
d7ab1bab 2272 sizeof(gfreduce_pyobj), /* @tp_basicsize@ */
2273 0, /* @tp_itemsize@ */
2274
2275 gfreduce_pydealloc, /* @tp_dealloc@ */
2276 0, /* @tp_print@ */
2277 0, /* @tp_getattr@ */
2278 0, /* @tp_setattr@ */
2279 0, /* @tp_compare@ */
2280 0, /* @tp_repr@ */
2281 0, /* @tp_as_number@ */
2282 0, /* @tp_as_sequence@ */
2283 0, /* @tp_as_mapping@ */
2284 0, /* @tp_hash@ */
2285 0, /* @tp_call@ */
2286 0, /* @tp_str@ */
2287 0, /* @tp_getattro@ */
2288 0, /* @tp_setattro@ */
2289 0, /* @tp_as_buffer@ */
2290 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2291 Py_TPFLAGS_BASETYPE,
2292
2293 /* @tp_doc@ */
2294"A reduction context for reduction modulo sparse irreducible polynomials.",
2295
2296 0, /* @tp_traverse@ */
2297 0, /* @tp_clear@ */
2298 0, /* @tp_richcompare@ */
2299 0, /* @tp_weaklistoffset@ */
2300 0, /* @tp_iter@ */
963a6148 2301 0, /* @tp_iternext@ */
d7ab1bab 2302 gfreduce_pymethods, /* @tp_methods@ */
2303 0, /* @tp_members@ */
2304 gfreduce_pygetset, /* @tp_getset@ */
2305 0, /* @tp_base@ */
2306 0, /* @tp_dict@ */
2307 0, /* @tp_descr_get@ */
2308 0, /* @tp_descr_set@ */
2309 0, /* @tp_dictoffset@ */
2310 0, /* @tp_init@ */
2311 PyType_GenericAlloc, /* @tp_alloc@ */
2312 gfreduce_pynew, /* @tp_new@ */
3aa33042 2313 0, /* @tp_free@ */
d7ab1bab 2314 0 /* @tp_is_gc@ */
2315};
2316
2317/*----- Normal/poly transformation ----------------------------------------*/
2318
2319typedef struct gfn_pyobj {
2320 PyObject_HEAD
2321 mp *p;
2322 gfn ntop, pton;
2323} gfn_pyobj;
2324
2325static PyTypeObject *gfn_pytype, gfn_pytype_skel;
2326
2327#define GFN_P(o) (((gfn_pyobj *)(o))->p)
2328#define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton)
2329#define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop)
2330
2331static PyObject *gfn_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
2332{
2333 mp *p = 0, *beta = 0;
2334 gfn_pyobj *gg = 0;
2335 char *kwlist[] = { "p", "beta", 0 };
2336
2337 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", kwlist,
2338 convgf, &p, convgf, &beta))
2339 goto end;
2340 gg = PyObject_New(gfn_pyobj, ty);
2341 if (gfn_create(p, beta, &gg->ntop, &gg->pton)) {
3aa33042 2342 FREEOBJ(gg);
d7ab1bab 2343 gg = 0;
2344 VALERR("can't invert transformation matrix");
2345 }
2346 gg->p = MP_COPY(p);
2347end:
2348 mp_drop(p);
2349 mp_drop(beta);
2350 return ((PyObject *)gg);
2351}
2352
2353static PyObject *gfnget_p(PyObject *me, void *hunoz)
2354 { return (gf_pywrap(MP_COPY(GFN_P(me)))); }
2355
2356static PyObject *gfnget_beta(PyObject *me, void *hunoz)
2357{
2358 gfn *n = GFN_NTOP(me);
2359 mp *x = n->r[n->n - 1];
2360 return (gf_pywrap(MP_COPY(x)));
2361}
2362
2363#define XFORMOP(name, NAME) \
2364 static PyObject *gfnmeth_##name(PyObject *me, PyObject *arg) \
2365 { \
2366 mp *xx = 0; \
2367 mp *z = 0; \
2368 \
2369 if (!PyArg_ParseTuple(arg, "O&:" #name, convgf, &xx)) goto end; \
2370 z = gfn_transform(GFN_##NAME(me), MP_NEW, xx); \
2371 end: \
2372 mp_drop(xx); \
2373 if (!z) return (0); \
2374 return (mp_pywrap(z)); \
2375 }
2376XFORMOP(pton, PTON)
2377XFORMOP(ntop, NTOP)
2378#undef XFORMOP
2379
2380static void gfn_pydealloc(PyObject *me)
2381{
2382 gfn_destroy(GFN_PTON(me));
2383 gfn_destroy(GFN_NTOP(me));
3aa33042 2384 FREEOBJ(me);
d7ab1bab 2385}
2386
2387static PyGetSetDef gfn_pygetset[] = {
2388#define GETSETNAME(op, name) gfn##op##_##name
2389 GET (p, "X.p -> polynomial basis, as polynomial")
2390 GET (beta, "X.beta -> normal basis element, in poly form")
2391#undef GETSETNAME
2392 { 0 }
2393};
2394
2395static PyMethodDef gfn_pymethods[] = {
2396#define METHNAME(name) gfnmeth_##name
2397 METH (pton, "X.pton(A) -> normal-basis representation of A")
2398 METH (ntop, "X.ntop(A) -> polynomial-basis representation of A")
2399#undef METHNAME
2400 { 0 }
2401};
2402
2403static PyTypeObject gfn_pytype_skel = {
6d4db0bf 2404 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 2405 "GFN", /* @tp_name@ */
d7ab1bab 2406 sizeof(gfn_pyobj), /* @tp_basicsize@ */
2407 0, /* @tp_itemsize@ */
2408
2409 gfn_pydealloc, /* @tp_dealloc@ */
2410 0, /* @tp_print@ */
2411 0, /* @tp_getattr@ */
2412 0, /* @tp_setattr@ */
2413 0, /* @tp_compare@ */
2414 0, /* @tp_repr@ */
2415 0, /* @tp_as_number@ */
2416 0, /* @tp_as_sequence@ */
2417 0, /* @tp_as_mapping@ */
2418 0, /* @tp_hash@ */
2419 0, /* @tp_call@ */
2420 0, /* @tp_str@ */
2421 0, /* @tp_getattro@ */
2422 0, /* @tp_setattro@ */
2423 0, /* @tp_as_buffer@ */
2424 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2425 Py_TPFLAGS_BASETYPE,
2426
2427 /* @tp_doc@ */
2428"An object for transforming elements of binary fields between polynomial\n\
2429and normal basis representations.",
2430
2431 0, /* @tp_traverse@ */
2432 0, /* @tp_clear@ */
2433 0, /* @tp_richcompare@ */
2434 0, /* @tp_weaklistoffset@ */
2435 0, /* @tp_iter@ */
963a6148 2436 0, /* @tp_iternext@ */
d7ab1bab 2437 gfn_pymethods, /* @tp_methods@ */
2438 0, /* @tp_members@ */
2439 gfn_pygetset, /* @tp_getset@ */
2440 0, /* @tp_base@ */
2441 0, /* @tp_dict@ */
2442 0, /* @tp_descr_get@ */
2443 0, /* @tp_descr_set@ */
2444 0, /* @tp_dictoffset@ */
2445 0, /* @tp_init@ */
2446 PyType_GenericAlloc, /* @tp_alloc@ */
2447 gfn_pynew, /* @tp_new@ */
3aa33042 2448 0, /* @tp_free@ */
d7ab1bab 2449 0 /* @tp_is_gc@ */
2450};
2451
2452/*----- Glue --------------------------------------------------------------*/
2453
2454static PyMethodDef methods[] = {
2455#define METHNAME(func) meth_##func
b2687a0a 2456 KWMETH(_MP_fromstring, "\
d7ab1bab 2457fromstring(STR, radix = 0) -> (X, REST)\n\
2458\n\
2459Parse STR as a large integer, according to radix. If radix is zero,\n\
2460read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\
2461or `R_' for other radix R.")
b2687a0a 2462 KWMETH(_GF_fromstring, "\
d7ab1bab 2463fromstring(STR, radix = 0) -> (X, REST)\n\
2464\n\
2465Parse STR as a binary polynomial, according to radix. If radix is zero,\n\
2466read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\
2467or `R_' for other radix R.")
9f49c854
MW		 2468 METH (_MP_factorial, "\
2469factorial(I) -> I!: compute factorial")
6313f40e
MW		 2470 METH (_MP_fibonacci, "\
2471fibonacci(I) -> F(I): compute Fibonacci number")
d7ab1bab 2472 METH (_MP_loadl, "\
2473loadl(STR) -> X: read little-endian bytes")
2474 METH (_MP_loadb, "\
2475loadb(STR) -> X: read big-endian bytes")
2476 METH (_MP_loadl2c, "\
2477loadl2c(STR) -> X: read little-endian bytes, two's complement")
2478 METH (_MP_loadb2c, "\
2479loadb2c(STR) -> X: read big-endian bytes, two's complement")
2480 METH (_MP_frombuf, "\
2481frombuf(STR) -> (X, REST): read buffer format")
d7ab1bab 2482 METH (_GF_loadl, "\
2483loadl(STR) -> X: read little-endian bytes")
2484 METH (_GF_loadb, "\
2485loadb(STR) -> X: read big-endian bytes")
2486 METH (_GF_frombuf, "\
2487frombuf(STR) -> (X, REST): read buffer format")
2488#undef METHNAME
2489 { 0 }
2490};
2491
2492void mp_pyinit(void)
2493{
2494 INITTYPE(mp, root);
2495 INITTYPE(gf, root);
32507e35 2496 INITTYPE(mpmul, root);
d7ab1bab 2497 INITTYPE(mpmont, root);
2498 INITTYPE(mpbarrett, root);
2499 INITTYPE(mpreduce, root);
2500 INITTYPE(mpcrt, root);
2501 INITTYPE(gfreduce, root);
2502 INITTYPE(gfn, root);
2503 addmethods(methods);
2504}
2505
2506void mp_pyinsert(PyObject *mod)
2507{
2508 INSERT("MP", mp_pytype);
32507e35 2509 INSERT("MPMul", mpmul_pytype);
d7ab1bab 2510 INSERT("MPMont", mpmont_pytype);
2511 INSERT("MPBarrett", mpbarrett_pytype);
2512 INSERT("MPReduce", mpreduce_pytype);
2513 INSERT("MPCRT", mpcrt_pytype);
2514 INSERT("GF", gf_pytype);
2515 INSERT("GFReduce", gfreduce_pytype);
2516 INSERT("GFN", gfn_pytype);
2517}
2518
2519/*----- That's all, folks -------------------------------------------------*/
Catacomb cryptographic library -- Python bindings