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*.c: Declare `PY_SSIZE_T_CLEAN'.
[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; \
6b54260d 714 Py_ssize_t sz; \
d7ab1bab 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;
6b54260d 912 Py_ssize_t len;
d7ab1bab 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");
6b54260d
MW		 925 z = Py_BuildValue("(Ns#)", mp_pywrap(zz),
926 sc.buf, (Py_ssize_t)(sc.lim - sc.buf));
d7ab1bab 927end:
928 return (z);
929}
930
9f49c854
MW		 931static PyObject *meth__MP_factorial(PyObject *me, PyObject *arg)
932{
933 unsigned long i;
934 mp *x;
935 if (!PyArg_ParseTuple(arg, "OO&:factorial", &me, convulong, &i))
936 return (0);
937 x = mp_factorial(i);
938 return mp_pywrap(x);
939}
940
6313f40e
MW		 941static PyObject *meth__MP_fibonacci(PyObject *me, PyObject *arg)
942{
943 long i;
944 mp *x;
945 if (!PyArg_ParseTuple(arg, "Ol:fibonacci", &me, &i)) return (0);
946 x = mp_fibonacci(i);
947 return mp_pywrap(x);
948}
949
32507e35
MW		 950#define LOADOP(pre, py, name) \
951 static PyObject *meth__##py##_##name(PyObject *me, PyObject *arg) \
952 { \
953 char *p; \
6b54260d 954 Py_ssize_t len; \
32507e35
MW		 955 if (!PyArg_ParseTuple(arg, "Os#:" #name, &me, &p, &len)) return (0); \
956 return (pre##_pywrap(mp_##name(MP_NEW, p, len))); \
957 }
958LOADOP(mp, MP, loadl)
959LOADOP(mp, MP, loadb)
960LOADOP(mp, MP, loadl2c)
961LOADOP(mp, MP, loadb2c)
962LOADOP(gf, GF, loadl)
963LOADOP(gf, GF, loadb)
964#undef LOADOP
965
966/*----- Products of small integers ----------------------------------------*/
967
968typedef struct mpmul_pyobj {
969 PyObject_HEAD
970 int livep;
971 mpmul mm;
972} mpmul_pyobj;
973
974#define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep)
975#define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm)
976
977static void mpmul_pydealloc(PyObject *me)
978{
979 if (MPMUL_LIVEP(me))
980 mp_drop(mpmul_done(MPMUL_PY(me)));
981 FREEOBJ(me);
982}
983
984static PyObject *mmmeth_factor(PyObject *me, PyObject *arg)
d7ab1bab 985{
d7ab1bab 986 PyObject *q, *i;
987 mp *x;
988
32507e35
MW		 989 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
990 if (PyTuple_Size(arg) != 1)
d7ab1bab 991 i = PyObject_GetIter(arg);
32507e35
MW		 992 else {
993 if ((q = PyTuple_GetItem(arg, 0)) == 0) goto end;
d7ab1bab 994 if ((i = PyObject_GetIter(q)) == 0) {
995 PyErr_Clear(); /* that's ok */
996 i = PyObject_GetIter(arg);
997 }
998 }
32507e35 999 if (!i) goto end;
d7ab1bab 1000 while ((q = PyIter_Next(i)) != 0) {
1001 x = getmp(q); Py_DECREF(q); if (!x) {
d7ab1bab 1002 Py_DECREF(i);
32507e35 1003 goto end;
d7ab1bab 1004 }
32507e35 1005 mpmul_add(MPMUL_PY(me), x);
d7ab1bab 1006 MP_DROP(x);
1007 }
d7ab1bab 1008 Py_DECREF(i);
32507e35
MW		 1009 RETURN_ME;
1010end:
1011 return (0);
1012}
1013
1014static PyObject *mmmeth_done(PyObject *me, PyObject *arg)
1015{
1016 mp *x;
1017
1018 if (!PyArg_ParseTuple(arg, ":done")) goto end;
1019 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
1020 x = mpmul_done(MPMUL_PY(me));
1021 MPMUL_LIVEP(me) = 0;
d7ab1bab 1022 return (mp_pywrap(x));
32507e35
MW		 1023end:
1024 return (0);
d7ab1bab 1025}
1026
32507e35
MW		 1027static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1028{
1029 mpmul_pyobj *mm;
1030
1031 if (kw) TYERR("keyword arguments not allowed here");
1032 mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0);
1033 mpmul_init(&mm->mm);
1034 mm->livep = 1;
1035 if (mmmeth_factor((PyObject *)mm, arg) == 0) {
1036 Py_DECREF(mm);
1037 goto end;
d7ab1bab 1038 }
32507e35
MW		 1039 return ((PyObject *)mm);
1040end:
1041 return (0);
1042}
1043
1044static PyObject *mmget_livep(PyObject *me, void *hunoz)
1045 { return (getbool(MPMUL_LIVEP(me))); }
1046
1047static PyGetSetDef mpmul_pygetset[] = {
1048#define GETSETNAME(op, name) mm##op##_##name
1049 GET (livep, "MM.livep -> flag: object still valid?")
1050#undef GETSETNAME
1051 { 0 }
1052};
1053
1054static PyMethodDef mpmul_pymethods[] = {
1055#define METHNAME(name) mmmeth_##name
1056 METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)")
1057 METH (done, "MM.done() -> PRODUCT")
1058#undef METHNAME
1059 { 0 }
1060};
1061
1062static PyTypeObject *mpmul_pytype, mpmul_pytype_skel = {
1063 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1064 "MPMul", /* @tp_name@ */
32507e35
MW		 1065 sizeof(mpmul_pyobj), /* @tp_basicsize@ */
1066 0, /* @tp_itemsize@ */
1067
1068 mpmul_pydealloc, /* @tp_dealloc@ */
1069 0, /* @tp_print@ */
1070 0, /* @tp_getattr@ */
1071 0, /* @tp_setattr@ */
1072 0, /* @tp_compare@ */
1073 0, /* @tp_repr@ */
1074 0, /* @tp_as_number@ */
1075 0, /* @tp_as_sequence@ */
1076 0, /* @tp_as_mapping@ */
1077 0, /* @tp_hash@ */
1078 0, /* @tp_call@ */
1079 0, /* @tp_str@ */
1080 0, /* @tp_getattro@ */
1081 0, /* @tp_setattro@ */
1082 0, /* @tp_as_buffer@ */
1083 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1084 Py_TPFLAGS_BASETYPE,
1085
1086 /* @tp_doc@ */
1087"An object for multiplying many small integers.",
1088
1089 0, /* @tp_traverse@ */
1090 0, /* @tp_clear@ */
1091 0, /* @tp_richcompare@ */
1092 0, /* @tp_weaklistoffset@ */
1093 0, /* @tp_iter@ */
1094 0, /* @tp_iternext@ */
1095 mpmul_pymethods, /* @tp_methods@ */
1096 0, /* @tp_members@ */
1097 mpmul_pygetset, /* @tp_getset@ */
1098 0, /* @tp_base@ */
1099 0, /* @tp_dict@ */
1100 0, /* @tp_descr_get@ */
1101 0, /* @tp_descr_set@ */
1102 0, /* @tp_dictoffset@ */
1103 0, /* @tp_init@ */
1104 PyType_GenericAlloc, /* @tp_alloc@ */
1105 mpmul_pynew, /* @tp_new@ */
1106 0, /* @tp_free@ */
1107 0 /* @tp_is_gc@ */
1108};
d7ab1bab 1109
1110/*----- Montgomery reduction ----------------------------------------------*/
1111
1112typedef struct mpmont_pyobj {
1113 PyObject_HEAD
1114 mpmont mm;
1115} mpmont_pyobj;
1116
1117#define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm)
1118
1119static PyObject *mmmeth_int(PyObject *me, PyObject *arg)
1120{
1121 PyObject *z = 0;
1122 mp *yy = 0;
1123 mpmont *mm = MPMONT_PY(me);
1124
1125 if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy))
1126 goto end;
1127 mp_div(0, &yy, yy, mm->m);
1128 z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2));
1129end:
1130 if (yy) MP_DROP(yy);
1131 return (z);
1132}
1133
1134static PyObject *mmmeth_mul(PyObject *me, PyObject *arg)
1135{
1136 PyObject *rc = 0;
1137 mp *yy = 0, *zz = 0;
1138
1139 if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz))
1140 goto end;
1141 rc = mp_pywrap(mpmont_mul(MPMONT_PY(me), MP_NEW, yy, zz));
1142end:
1143 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1144 return (rc);
1145}
1146
1147static PyObject *mmmeth_exp(PyObject *me, PyObject *arg)
1148{
1149 PyObject *rc = 0;
1150 mp *yy = 0, *zz = 0;
1151
1152 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1153 goto end;
1154 if (MP_NEGP(zz)) {
1155 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1156 zz = mp_neg(zz, zz);
1157 }
1158 rc = mp_pywrap(mpmont_exp(MPMONT_PY(me), MP_NEW, yy, zz));
1159end:
1160 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1161 return (rc);
1162}
1163
1164static PyObject *mmmeth_expr(PyObject *me, PyObject *arg)
1165{
1166 PyObject *rc = 0;
1167 mp *yy = 0, *zz = 0;
1168
1169 if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz))
1170 goto end;
1171 if (MP_NEGP(zz)) {
1172 yy = mpmont_reduce(MPMONT_PY(me), yy, yy);
1173 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1174 yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2);
1175 zz = mp_neg(zz, zz);
1176 }
1177 rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz));
1178end:
1179 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1180 return (rc);
1181}
1182
1183static PyObject *mm_mexpr_id(PyObject *me)
1184 { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); }
1185
1186static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1187{
1188 mp *xx = 0, *yy = 0;
1189 mp_expfactor *f = p;
1190 mpmont *mm = MPMONT_PY(me);
1191
1192 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1193 goto fail;
1194 if (MP_NEGP(yy)) {
1195 xx = mpmont_reduce(mm, xx, xx);
1196 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1197 goto fail;
1198 xx = mpmont_mul(mm, xx, xx, mm->r2);
1199 yy = mp_neg(yy, yy);
1200 }
1201 f->base = xx;
1202 f->exp = yy;
1203 return (0);
1204
1205fail:
1206 mp_drop(xx); mp_drop(yy);
1207 return (-1);
1208}
1209
1210static PyObject *mm_mexpr(PyObject *me, void *v, int n)
1211 { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1212
d7ab1bab 1213static void mp_mexp_drop(void *p)
1214{
1215 mp_expfactor *f = p;
1216 mp_drop(f->base);
1217 mp_drop(f->exp);
1218}
1219
1220static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg)
1221{
1222 return mexp_common(me, arg, sizeof(mp_expfactor),
1223 mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop);
1224}
1225
1226static PyObject *mp_mexp_id(PyObject *me)
1227 { return mp_pywrap(MP_ONE); }
1228
1229static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1230{
1231 mp *xx = 0, *yy = 0;
1232 mp_expfactor *f = p;
1233
1234 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1235 goto fail;
1236 if (MP_NEGP(yy)) {
1237 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1238 goto fail;
1239 yy = mp_neg(yy, yy);
1240 }
1241 f->base = xx;
1242 f->exp = yy;
1243 return (0);
1244
1245fail:
1246 mp_drop(xx); mp_drop(yy);
1247 return (-1);
1248}
1249
1250static PyObject *mm_mexp(PyObject *me, void *v, int n)
1251 { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1252
d7ab1bab 1253static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg)
1254{
1255 return mexp_common(me, arg, sizeof(mp_expfactor),
1256 mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop);
1257}
1258
1259#define mmmeth_ext mmmeth_reduce
1260static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg)
1261{
1262 PyObject *z = 0;
1263 mp *yy = 0;
1264
1265 if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end;
1266 z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy));
1267end:
1268 return (z);
1269}
1270
1271static void mpmont_pydealloc(PyObject *me)
1272{
1273 mpmont_destroy(MPMONT_PY(me));
3aa33042 1274 FREEOBJ(me);
d7ab1bab 1275}
1276
1277static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1278{
1279 mpmont_pyobj *mm = 0;
1280 char *kwlist[] = { "m", 0 };
1281 mp *xx = 0;
1282
1283 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1284 goto end;
1285 if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd");
1286 mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0);
1287 mpmont_create(&mm->mm, xx);
1288end:
1289 if (xx) MP_DROP(xx);
1290 return ((PyObject *)mm);
1291}
1292
1293static PyObject *mmget_m(PyObject *me, void *hunoz)
1294 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); }
1295
1296static PyObject *mmget_r(PyObject *me, void *hunoz)
1297 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); }
1298
1299static PyObject *mmget_r2(PyObject *me, void *hunoz)
1300 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); }
1301
1302static PyGetSetDef mpmont_pygetset[] = {
1303#define GETSETNAME(op, name) mm##op##_##name
1304 GET (m, "M.m -> modulus for reduction")
1305 GET (r, "M.r -> multiplicative identity")
1306 GET (r2, "M.r2 -> M.r^2, Montgomerization factor")
1307#undef GETSETNAME
1308 { 0 }
1309};
1310
1311static PyMethodDef mpmont_pymethods[] = {
1312#define METHNAME(name) mmmeth_##name
986bcc44 1313 METH (int, "M.int(X) -> XR")
d7ab1bab 1314 METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y")
1315 METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m")
1316 METH (mexpr, "\
986bcc44 1317M.mexpr([(XR0, N0), (XR1, N1), ...]) = ZR where Z = X0^N0 X1^N1 ... mod M.m\n\
d7ab1bab 1318\t(the list may be flattened if this more convenient.)")
1319 METH (reduce, "M.reduce(XR) -> X")
1320 METH (ext, "M.ext(XR) -> X")
1321 METH (exp, "M.exp(X, N) -> X^N mod M.m")
1322 METH (mexp, "\
986bcc44 1323M.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 ... mod M.m\n\
d7ab1bab 1324\t(the list may be flattened if this more convenient.)")
1325#undef METHNAME
1326 { 0 }
1327};
1328
1329static PyTypeObject *mpmont_pytype, mpmont_pytype_skel = {
6d4db0bf 1330 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1331 "MPMont", /* @tp_name@ */
d7ab1bab 1332 sizeof(mpmont_pyobj), /* @tp_basicsize@ */
1333 0, /* @tp_itemsize@ */
1334
1335 mpmont_pydealloc, /* @tp_dealloc@ */
1336 0, /* @tp_print@ */
1337 0, /* @tp_getattr@ */
1338 0, /* @tp_setattr@ */
1339 0, /* @tp_compare@ */
1340 0, /* @tp_repr@ */
1341 0, /* @tp_as_number@ */
1342 0, /* @tp_as_sequence@ */
1343 0, /* @tp_as_mapping@ */
1344 0, /* @tp_hash@ */
1345 0, /* @tp_call@ */
1346 0, /* @tp_str@ */
1347 0, /* @tp_getattro@ */
1348 0, /* @tp_setattro@ */
1349 0, /* @tp_as_buffer@ */
1350 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1351 Py_TPFLAGS_BASETYPE,
1352
1353 /* @tp_doc@ */
1354"A Montgomery reduction context.",
1355
1356 0, /* @tp_traverse@ */
1357 0, /* @tp_clear@ */
1358 0, /* @tp_richcompare@ */
1359 0, /* @tp_weaklistoffset@ */
1360 0, /* @tp_iter@ */
963a6148 1361 0, /* @tp_iternext@ */
d7ab1bab 1362 mpmont_pymethods, /* @tp_methods@ */
1363 0, /* @tp_members@ */
1364 mpmont_pygetset, /* @tp_getset@ */
1365 0, /* @tp_base@ */
1366 0, /* @tp_dict@ */
1367 0, /* @tp_descr_get@ */
1368 0, /* @tp_descr_set@ */
1369 0, /* @tp_dictoffset@ */
1370 0, /* @tp_init@ */
1371 PyType_GenericAlloc, /* @tp_alloc@ */
1372 mpmont_pynew, /* @tp_new@ */
3aa33042 1373 0, /* @tp_free@ */
d7ab1bab 1374 0 /* @tp_is_gc@ */
1375};
1376
1377/*----- Barrett reduction -------------------------------------------------*/
1378
1379typedef struct mpbarrett_pyobj {
1380 PyObject_HEAD
1381 mpbarrett mb;
1382} mpbarrett_pyobj;
1383
1384#define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb)
1385
1386static PyObject *mbmeth_exp(PyObject *me, PyObject *arg)
1387{
1388 PyObject *rc = 0;
1389 mp *yy = 0, *zz = 0;
1390
1391 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1392 goto end;
1393 if (MP_NEGP(zz)) {
1394 if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end;
1395 zz = mp_neg(zz, zz);
1396 }
1397 rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz));
1398end:
1399 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1400 return (rc);
1401}
1402
1403static PyObject *mb_mexp(PyObject *me, void *v, int n)
1404 { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); }
b2687a0a 1405
d7ab1bab 1406static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg)
1407{
1408 return mexp_common(me, arg, sizeof(mp_expfactor),
1409 mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop);
1410}
1411
1412static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg)
1413{
1414 PyObject *z = 0;
1415 mp *yy = 0;
1416
1417 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy))
1418 goto end;
1419 z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy));
1420end:
1421 return (z);
1422}
1423
1424static void mpbarrett_pydealloc(PyObject *me)
1425{
1426 mpbarrett_destroy(MPBARRETT_PY(me));
3aa33042 1427 FREEOBJ(me);
d7ab1bab 1428}
1429
1430static PyObject *mpbarrett_pynew(PyTypeObject *ty,
1431 PyObject *arg, PyObject *kw)
1432{
1433 mpbarrett_pyobj *mb = 0;
1434 char *kwlist[] = { "m", 0 };
1435 mp *xx = 0;
1436
1437 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1438 goto end;
1439 if (!MP_POSP(xx)) VALERR("m must be positive");
1440 mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0);
1441 mpbarrett_create(&mb->mb, xx);
1442end:
1443 if (xx) MP_DROP(xx);
1444 return ((PyObject *)mb);
1445}
1446
1447static PyObject *mbget_m(PyObject *me, void *hunoz)
1448 { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); }
1449
1450static PyGetSetDef mpbarrett_pygetset[] = {
1451#define GETSETNAME(op, name) mb##op##_##name
1452 GET (m, "B.m -> modulus for reduction")
1453#undef GETSETNAME
1454 { 0 }
1455};
1456
1457static PyMethodDef mpbarrett_pymethods[] = {
1458#define METHNAME(name) mbmeth_##name
1459 METH (reduce, "B.reduce(X) -> X mod B.m")
1460 METH (exp, "B.exp(X, N) -> X^N mod B.m")
1461 METH (mexp, "\
986bcc44 1462B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 ... mod B.m\n\
d7ab1bab 1463\t(the list may be flattened if this more convenient.)")
1464#undef METHNAME
1465 { 0 }
1466};
1467
1468static PyTypeObject *mpbarrett_pytype, mpbarrett_pytype_skel = {
6d4db0bf 1469 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1470 "MPBarrett", /* @tp_name@ */
d7ab1bab 1471 sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */
1472 0, /* @tp_itemsize@ */
1473
1474 mpbarrett_pydealloc, /* @tp_dealloc@ */
1475 0, /* @tp_print@ */
1476 0, /* @tp_getattr@ */
1477 0, /* @tp_setattr@ */
1478 0, /* @tp_compare@ */
1479 0, /* @tp_repr@ */
1480 0, /* @tp_as_number@ */
1481 0, /* @tp_as_sequence@ */
1482 0, /* @tp_as_mapping@ */
1483 0, /* @tp_hash@ */
1484 0, /* @tp_call@ */
1485 0, /* @tp_str@ */
1486 0, /* @tp_getattro@ */
1487 0, /* @tp_setattro@ */
1488 0, /* @tp_as_buffer@ */
1489 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1490 Py_TPFLAGS_BASETYPE,
1491
1492 /* @tp_doc@ */
1493"A Barrett reduction context.",
1494
1495 0, /* @tp_traverse@ */
1496 0, /* @tp_clear@ */
1497 0, /* @tp_richcompare@ */
1498 0, /* @tp_weaklistoffset@ */
1499 0, /* @tp_iter@ */
963a6148 1500 0, /* @tp_iternext@ */
d7ab1bab 1501 mpbarrett_pymethods, /* @tp_methods@ */
1502 0, /* @tp_members@ */
1503 mpbarrett_pygetset, /* @tp_getset@ */
1504 0, /* @tp_base@ */
1505 0, /* @tp_dict@ */
1506 0, /* @tp_descr_get@ */
1507 0, /* @tp_descr_set@ */
1508 0, /* @tp_dictoffset@ */
1509 0, /* @tp_init@ */
1510 PyType_GenericAlloc, /* @tp_alloc@ */
1511 mpbarrett_pynew, /* @tp_new@ */
3aa33042 1512 0, /* @tp_free@ */
d7ab1bab 1513 0 /* @tp_is_gc@ */
1514};
1515
1516/*----- Nice prime reduction ----------------------------------------------*/
1517
1518typedef struct mpreduce_pyobj {
1519 PyObject_HEAD
1520 mpreduce mr;
1521} mpreduce_pyobj;
1522
1523#define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr)
1524
1525static PyObject *mrmeth_exp(PyObject *me, PyObject *arg)
1526{
1527 PyObject *rc = 0;
1528 mp *yy = 0, *zz = 0;
1529
1530 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1531 goto end;
1532 if (MP_NEGP(zz)) {
1533 if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end;
1534 zz = mp_neg(zz, zz);
1535 }
1536 rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz));
1537end:
1538 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1539 return (rc);
1540}
1541
1542static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg)
1543{
1544 PyObject *z = 0;
1545 mp *yy = 0;
1546
1547 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end;
1548 z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy));
1549end:
1550 return (z);
1551}
1552
1553static void mpreduce_pydealloc(PyObject *me)
1554{
1555 mpreduce_destroy(MPREDUCE_PY(me));
3aa33042 1556 FREEOBJ(me);
d7ab1bab 1557}
1558
1559static PyObject *mpreduce_pynew(PyTypeObject *ty,
1560 PyObject *arg, PyObject *kw)
1561{
1562 mpreduce_pyobj *mr = 0;
1563 mpreduce r;
1564 char *kwlist[] = { "m", 0 };
1565 mp *xx = 0;
1566
1567 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1568 goto end;
1569 if (!MP_POSP(xx)) VALERR("m must be positive");
1570 if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)");
1571 mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0);
1572 mr->mr = r;
1573end:
1574 if (xx) MP_DROP(xx);
1575 return ((PyObject *)mr);
1576}
1577
1578static PyObject *mrget_m(PyObject *me, void *hunoz)
1579 { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); }
1580
1581static PyGetSetDef mpreduce_pygetset[] = {
1582#define GETSETNAME(op, name) mr##op##_##name
1583 GET (m, "R.m -> modulus for reduction")
1584#undef GETSETNAME
1585 { 0 }
1586};
1587
1588static PyMethodDef mpreduce_pymethods[] = {
1589#define METHNAME(name) mrmeth_##name
1590 METH (reduce, "R.reduce(X) -> X mod B.m")
1591 METH (exp, "R.exp(X, N) -> X^N mod B.m")
1592#undef METHNAME
1593 { 0 }
1594};
1595
1596static PyTypeObject *mpreduce_pytype, mpreduce_pytype_skel = {
6d4db0bf 1597 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1598 "MPReduce", /* @tp_name@ */
d7ab1bab 1599 sizeof(mpreduce_pyobj), /* @tp_basicsize@ */
1600 0, /* @tp_itemsize@ */
1601
1602 mpreduce_pydealloc, /* @tp_dealloc@ */
1603 0, /* @tp_print@ */
1604 0, /* @tp_getattr@ */
1605 0, /* @tp_setattr@ */
1606 0, /* @tp_compare@ */
1607 0, /* @tp_repr@ */
1608 0, /* @tp_as_number@ */
1609 0, /* @tp_as_sequence@ */
1610 0, /* @tp_as_mapping@ */
1611 0, /* @tp_hash@ */
1612 0, /* @tp_call@ */
1613 0, /* @tp_str@ */
1614 0, /* @tp_getattro@ */
1615 0, /* @tp_setattro@ */
1616 0, /* @tp_as_buffer@ */
1617 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1618 Py_TPFLAGS_BASETYPE,
1619
1620 /* @tp_doc@ */
1621"A reduction context for reduction modulo primes of special form.",
1622
1623 0, /* @tp_traverse@ */
1624 0, /* @tp_clear@ */
1625 0, /* @tp_richcompare@ */
1626 0, /* @tp_weaklistoffset@ */
1627 0, /* @tp_iter@ */
963a6148 1628 0, /* @tp_iternext@ */
d7ab1bab 1629 mpreduce_pymethods, /* @tp_methods@ */
1630 0, /* @tp_members@ */
1631 mpreduce_pygetset, /* @tp_getset@ */
1632 0, /* @tp_base@ */
1633 0, /* @tp_dict@ */
1634 0, /* @tp_descr_get@ */
1635 0, /* @tp_descr_set@ */
1636 0, /* @tp_dictoffset@ */
1637 0, /* @tp_init@ */
1638 PyType_GenericAlloc, /* @tp_alloc@ */
1639 mpreduce_pynew, /* @tp_new@ */
3aa33042 1640 0, /* @tp_free@ */
d7ab1bab 1641 0 /* @tp_is_gc@ */
1642};
1643
1644/*----- Chinese Remainder Theorem solution --------------------------------*/
1645
1646typedef struct mpcrt_pyobj {
1647 PyObject_HEAD
1648 mpcrt c;
1649} mpcrt_pyobj;
1650
1651#define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c)
1652
1653static PyObject *mcmeth_solve(PyObject *me, PyObject *arg)
1654{
1655 mpcrt *c = MPCRT_PY(me);
1656 PyObject *q = 0, *x, *z = 0;
1657 mp *xx;
1658 mp **v = 0;
1659 int i = 0, n = c->k;
1660
1661 Py_INCREF(me);
1662 if (PyTuple_Size(arg) == n)
1663 q = arg;
1664 else if (!PyArg_ParseTuple(arg, "O:solve", &q))
1665 goto end;
1666 Py_INCREF(q);
1667 if (!PySequence_Check(q)) TYERR("want a sequence of residues");
1668 if (PySequence_Size(q) != n) VALERR("residue count mismatch");
1669 v = xmalloc(n * sizeof(*v));
1670 for (i = 0; i < n; i++) {
1671 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1672 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1673 v[i] = xx;
1674 }
1675 z = mp_pywrap(mpcrt_solve(c, MP_NEW, v));
1676end:
1677 if (v) {
1678 n = i;
1679 for (i = 0; i < n; i++)
1680 MP_DROP(v[i]);
1681 xfree(v);
1682 }
1683 Py_DECREF(me);
1684 Py_XDECREF(q);
1685 return (z);
1686}
1687
1688static void mpcrt_pydealloc(PyObject *me)
1689{
1690 mpcrt *c = MPCRT_PY(me);
1691 mpcrt_destroy(c);
1692 xfree(c->v);
1693}
1694
1695static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1696{
1697 mpcrt_mod *v = 0;
1698 int n, i = 0;
1699 char *kwlist[] = { "mv", 0 };
1700 PyObject *q = 0, *x;
1701 mp *xx;
1702 mpcrt_pyobj *c = 0;
1703
1704 if (PyTuple_Size(arg) > 1)
1705 q = arg;
1706 else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", kwlist, &q))
1707 goto end;
1708 Py_INCREF(q);
1709 if (!PySequence_Check(q)) TYERR("want a sequence of moduli");
1710 n = PySequence_Size(q);
1711 if (PyErr_Occurred()) goto end;
1712 if (!n) VALERR("want at least one modulus");
1713 v = xmalloc(n * sizeof(*v));
1714 for (i = 0; i < n; i++) {
1715 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1716 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1717 v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0;
1718 }
1719 c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0);
1720 mpcrt_create(&c->c, v, n, 0);
1721 Py_DECREF(q);
1722 return ((PyObject *)c);
1723
1724end:
1725 if (v) {
1726 n = i;
1727 for (i = 0; i < n; i++)
1728 MP_DROP(v[i].m);
1729 xfree(v);
1730 }
1731 Py_XDECREF(q);
1732 return (0);
1733}
1734
1735static PyObject *mcget_product(PyObject *me, void *hunoz)
1736 { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); }
1737
1738static PyObject *mcget_moduli(PyObject *me, void *hunoz)
1739{
1740 int i;
1741 PyObject *q;
1742 mpcrt *c = MPCRT_PY(me);
1743
1744 if ((q = PyList_New(c->k)) == 0) return (0);
1745 for (i = 0; i < c->k; i++)
1746 PyList_SetItem(q, i, mp_pywrap(c->v[i].m));
1747 return (q);
1748}
1749
1750static PyGetSetDef mpcrt_pygetset[] = {
1751#define GETSETNAME(op, name) mc##op##_##name
1752 GET (product, "C.product -> product of moduli")
1753 GET (moduli, "C.moduli -> list of individual moduli")
1754#undef GETSETNAME
1755 { 0 }
1756};
1757
1758static PyMethodDef mpcrt_pymethods[] = {
1759#define METHNAME(name) mcmeth_##name
1760 METH (solve, "C.solve([R0, R1]) -> X mod C.product")
1761#undef METHNAME
1762 { 0 }
1763};
1764
1765static PyTypeObject *mpcrt_pytype, mpcrt_pytype_skel = {
6d4db0bf 1766 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1767 "MPCRT", /* @tp_name@ */
d7ab1bab 1768 sizeof(mpcrt_pyobj), /* @tp_basicsize@ */
1769 0, /* @tp_itemsize@ */
1770
1771 mpcrt_pydealloc, /* @tp_dealloc@ */
1772 0, /* @tp_print@ */
1773 0, /* @tp_getattr@ */
1774 0, /* @tp_setattr@ */
1775 0, /* @tp_compare@ */
1776 0, /* @tp_repr@ */
1777 0, /* @tp_as_number@ */
1778 0, /* @tp_as_sequence@ */
1779 0, /* @tp_as_mapping@ */
1780 0, /* @tp_hash@ */
1781 0, /* @tp_call@ */
1782 0, /* @tp_str@ */
1783 0, /* @tp_getattro@ */
1784 0, /* @tp_setattro@ */
1785 0, /* @tp_as_buffer@ */
1786 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1787 Py_TPFLAGS_BASETYPE,
1788
1789 /* @tp_doc@ */
1790"A context for the solution of Chinese Remainder Theorem problems.",
1791
1792 0, /* @tp_traverse@ */
1793 0, /* @tp_clear@ */
1794 0, /* @tp_richcompare@ */
1795 0, /* @tp_weaklistoffset@ */
1796 0, /* @tp_iter@ */
963a6148 1797 0, /* @tp_iternext@ */
d7ab1bab 1798 mpcrt_pymethods, /* @tp_methods@ */
1799 0, /* @tp_members@ */
1800 mpcrt_pygetset, /* @tp_getset@ */
1801 0, /* @tp_base@ */
1802 0, /* @tp_dict@ */
1803 0, /* @tp_descr_get@ */
1804 0, /* @tp_descr_set@ */
1805 0, /* @tp_dictoffset@ */
1806 0, /* @tp_init@ */
1807 PyType_GenericAlloc, /* @tp_alloc@ */
1808 mpcrt_pynew, /* @tp_new@ */
3aa33042 1809 0, /* @tp_free@ */
d7ab1bab 1810 0 /* @tp_is_gc@ */
1811};
1812
1813/*----- Binary polynomials ------------------------------------------------*/
1814
1815static PyObject *gf_pyrepr(PyObject *o)
1816 { return mp_topystring(MP_X(o), 16, "GF(", "0x", "L)"); }
1817
1818static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op)
1819{
1820 mp *xx, *yy;
1821 int xl, yl;
1822 int b;
1823
bf8910bd 1824 if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL;
d7ab1bab 1825 switch (op) {
1826 case Py_EQ: b = MP_EQ(xx, yy); break;
1827 case Py_NE: b = !MP_EQ(xx, yy); break;
1828 default:
1829 xl = mp_bits(xx);
1830 yl = mp_bits(yy);
1831 switch (op) {
1832 case Py_LT: b = xl < yl; break;
1833 case Py_LE: b = xl <= yl; break;
1834 case Py_GT: b = xl > yl; break;
1835 case Py_GE: b = xl >= yl; break;
1836 default: abort();
1837 }
1838 break;
1839 }
1840 MP_DROP(xx); MP_DROP(yy);
1841 return (getbool(b));
1842}
1843
1844static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1845{
1846 PyObject *x;
1847 mp *z;
1848 mp_pyobj *zz = 0;
1849 int radix = 0;
1850 char *kwlist[] = { "x", "radix", 0 };
1851
1852 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", kwlist, &x, &radix))
1853 goto end;
1854 if (GF_PYCHECK(x)) RETURN_OBJ(x);
f368b46e 1855 if (!good_radix_p(radix, 1)) VALERR("radix out of range");
d7ab1bab 1856 if ((z = mp_frompyobject(x, radix)) == 0) {
1857 PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf",
1858 x->ob_type->tp_name);
1859 goto end;
1860 }
1861 if (MP_NEGP(z)) {
1862 MP_DROP(z);
1863 VALERR("gf cannot be negative");
1864 }
1865 zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
1866 zz->x = z;
1867end:
1868 return ((PyObject *)zz);
1869}
1870
1871static long gf_pyhash(PyObject *me)
1872{
1873 long i = mp_tolong(MP_X(me));
1874 i ^= 0xc7ecd67c; /* random perturbance */
1875 if (i == -1)
1876 i = -2;
1877 return (i);
1878}
1879
1880static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z)
1881{
1882 mp *xx = 0, *yy = 0, *zz = 0;
1883 mp *r = 0;
1884 PyObject *rc = 0;
1885
1886 if ((xx = tomp(x)) == 0 || (yy = tomp(y)) == 0 ||
1887 (z && z != Py_None && (zz = tomp(z)) == 0)) {
1888 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1889 RETURN_NOTIMPL;
1890 }
1891 if (!z || z == Py_None) {
1892 if (MP_NEGP(yy)) VALERR("negative exponent");
1893 r = gf_exp(MP_NEW, xx, yy);
1894 } else {
1895 gfreduce gr;
1896 if (MP_ZEROP(zz)) ZDIVERR("zero modulus");
1897 if (MP_NEGP(yy)) {
1898 if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end;
1899 yy = mp_neg(yy, yy);
1900 }
1901 gfreduce_create(&gr, zz);
1902 r = gfreduce_exp(&gr, MP_NEW, xx, yy);
1903 gfreduce_destroy(&gr);
1904 }
1905 rc = gf_pywrap(r);
1906end:
1907 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1908 return (rc);
1909}
1910
1911static PyObject *gfmeth_sqr(PyObject *me, PyObject *arg)
1912{
1913 if (!PyArg_ParseTuple(arg, ":sqr")) return (0);
1914 return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me))));
1915}
1916
1917static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg)
1918{
1919 PyObject *z = 0;
1920 mp *yy = 0, *zz = MP_NEW;
1921
1922 if (!PyArg_ParseTuple(arg, "O&:gcd", convgf, &yy)) goto end;
1923 gf_gcd(&zz, 0, 0, MP_X(me), yy);
1924 z = gf_pywrap(zz);
1925end:
1926 if (yy) MP_DROP(yy);
1927 return (z);
1928}
1929
1930static PyObject *gfmeth_gcdx(PyObject *me, PyObject *arg)
1931{
1932 PyObject *z = 0;
1933 mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW;
1934
1935 if (!PyArg_ParseTuple(arg, "O&:gcdx", convgf, &yy))
1936 goto end;
1937 gf_gcd(&zz, &uu, &vv, MP_X(me), yy);
1938 z = Py_BuildValue("(NNN)",
1939 gf_pywrap(zz), gf_pywrap(uu), gf_pywrap(vv));
1940end:
1941 if (yy) MP_DROP(yy);
1942 return (z);
1943}
1944
1945static PyObject *gfmeth_modinv(PyObject *me, PyObject *arg)
1946{
1947 PyObject *z = 0;
1948 mp *yy = 0, *zz = MP_NEW;
1949
1950 if (!PyArg_ParseTuple(arg, "O&:modinv", convgf, &yy) ||
1951 (zz = gf_modinv_checked(MP_NEW, yy, MP_X(me))) == 0)
1952 goto end;
1953 z = gf_pywrap(zz);
1954end:
1955 if (yy) MP_DROP(yy);
1956 return (z);
1957}
1958
1959static PyObject *gfmeth_irreduciblep(PyObject *me, PyObject *arg)
1960{
1961 if (!PyArg_ParseTuple(arg, ":irreduciblep")) return (0);
1962 return getbool(gf_irreduciblep(MP_X(me)));
1963}
1964
1965static PyObject *gfget_degree(PyObject *me, void *hunoz)
1966 { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); }
1967
1968static PyGetSetDef gf_pygetset[] = {
1969#define GETSETNAME(op, name) gf##op##_##name
1970 GET (degree, "X.degree -> polynomial degree of X")
1971#undef GETSETNAME
1972#define GETSETNAME(op, name) mp##op##_##name
1973 GET (nbits, "X.nbits -> bit length of X")
1974 GET (noctets, "X.noctets -> octet length of X")
1975#undef GETSETNAME
1976 { 0 }
1977};
1978
1979static PyMethodDef gf_pymethods[] = {
1980#define METHNAME(func) gfmeth_##func
1981 METH (setbit, "X.setbit(N) -> X with bit N set")
1982 METH (clearbit, "X.clearbit(N) -> X with bit N clear")
1983 METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
1984 METH (sqr, "X.sqr() -> X^2")
1985 METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
1986 METH (gcdx,
1987 "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
1988 METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
b2687a0a 1989 METH (irreduciblep, "X.irreduciblep() -> true/false")
d7ab1bab 1990#undef METHNAME
1991#define METHNAME(func) mpmeth_##func
1992 KWMETH(tostring, "X.tostring(radix = 10) -> STR")
1993 KWMETH(storel, "X.storel(len = -1) -> little-endian bytes")
1994 KWMETH(storeb, "X.storeb(len = -1) -> big-endian bytes")
1995 KWMETH(storel2c,
1996 "X.storel2c(len = -1) -> little-endian bytes, two's complement")
1997 KWMETH(storeb2c,
1998 "X.storeb2c(len = -1) -> big-endian bytes, two's complement")
1999 METH (tobuf, "X.tobuf() -> buffer format")
2000#undef METHNAME
2001 { 0 }
2002};
2003
2004static PyNumberMethods gf_pynumber = {
2005 gf_pyadd, /* @nb_add@ */
2006 gf_pysub, /* @nb_subtract@ */
2007 gf_pymul, /* @nb_multiply@ */
2008 0, /* @nb_divide@ */
2009 gf_pymod, /* @nb_remainder@ */
2010 gf_pydivmod, /* @nb_divmod@ */
2011 gf_pyexp, /* @nb_power@ */
2012 mp_pyid, /* @nb_negative@ */
2013 mp_pyid, /* @nb_positive@ */
2014 mp_pyid, /* @nb_absolute@ */
2015 mp_pynonzerop, /* @nb_nonzero@ */
2016 0 /* doesn't make any sense */, /* @nb_invert@ */
2017 gf_pylsl, /* @nb_lshift@ */
2018 gf_pylsr, /* @nb_rshift@ */
2019 gf_pyand, /* @nb_and@ */
2020 gf_pyxor, /* @nb_xor@ */
2021 gf_pyor, /* @nb_or@ */
2022 gf_pycoerce, /* @nb_coerce@ */
2023 mp_pyint, /* @nb_int@ */
2024 mp_pylong, /* @nb_long@ */
2025 0 /* doesn't make any sense */, /* @nb_float@ */
2026 mp_pyoct, /* @nb_oct@ */
2027 mp_pyhex, /* @nb_hex@ */
2028
2029 0, /* @nb_inplace_add@ */
2030 0, /* @nb_inplace_subtract@ */
2031 0, /* @nb_inplace_multiply@ */
2032 0, /* @nb_inplace_divide@ */
2033 0, /* @nb_inplace_remainder@ */
2034 0, /* @nb_inplace_power@ */
2035 0, /* @nb_inplace_lshift@ */
2036 0, /* @nb_inplace_rshift@ */
2037 0, /* @nb_inplace_and@ */
2038 0, /* @nb_inplace_xor@ */
2039 0, /* @nb_inplace_or@ */
2040
2041 gf_pydiv, /* @nb_floor_divide@ */
2042 0, /* @nb_true_divide@ */
2043 0, /* @nb_inplace_floor_divide@ */
2044 0, /* @nb_inplace_true_divide@ */
2045};
2046
2047static PyTypeObject gf_pytype_skel = {
6d4db0bf 2048 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 2049 "GF", /* @tp_name@ */
d7ab1bab 2050 sizeof(mp_pyobj), /* @tp_basicsize@ */
2051 0, /* @tp_itemsize@ */
2052
2053 mp_pydealloc, /* @tp_dealloc@ */
2054 0, /* @tp_print@ */
2055 0, /* @tp_getattr@ */
2056 0, /* @tp_setattr@ */
2057 0, /* @tp_compare@ */
2058 gf_pyrepr, /* @tp_repr@ */
2059 &gf_pynumber, /* @tp_as_number@ */
2060 0, /* @tp_as_sequence@ */
2061 0, /* @tp_as_mapping@ */
2062 gf_pyhash, /* @tp_hash@ */
2063 0, /* @tp_call@ */
2064 mp_pyhex, /* @tp_str@ */
2065 0, /* @tp_getattro@ */
2066 0, /* @tp_setattro@ */
2067 0, /* @tp_as_buffer@ */
2068 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2069 Py_TPFLAGS_CHECKTYPES |
2070 Py_TPFLAGS_BASETYPE,
2071
2072 /* @tp_doc@ */
2073"Binary polynomials. Support almost all the standard arithmetic\n\
2074operations.\n\
2075\n\
2076Constructor gf(X, radix = R) attempts to convert X to a `gf'. If\n\
2077X is a string, it's read in radix-R form, or we look for a prefix\n\
2078if R = 0. Other acceptable things are ints and longs.\n\
2079\n\
2080The name is hopelessly wrong from a technical point of view, but\n\
2081but it's much easier to type than `p2' or `c2' or whatever.\n\
2082\n\
2083Notes:\n\
2084\n\
2085 * Use `//' for division. GFs don't have `/' division.",
2086
2087 0, /* @tp_traverse@ */
2088 0, /* @tp_clear@ */
2089 gf_pyrichcompare, /* @tp_richcompare@ */
2090 0, /* @tp_weaklistoffset@ */
2091 0, /* @tp_iter@ */
963a6148 2092 0, /* @tp_iternext@ */
d7ab1bab 2093 gf_pymethods, /* @tp_methods@ */
2094 0, /* @tp_members@ */
2095 gf_pygetset, /* @tp_getset@ */
2096 0, /* @tp_base@ */
2097 0, /* @tp_dict@ */
2098 0, /* @tp_descr_get@ */
2099 0, /* @tp_descr_set@ */
2100 0, /* @tp_dictoffset@ */
2101 0, /* @tp_init@ */
2102 PyType_GenericAlloc, /* @tp_alloc@ */
2103 gf_pynew, /* @tp_new@ */
3aa33042 2104 0, /* @tp_free@ */
d7ab1bab 2105 0 /* @tp_is_gc@ */
2106};
2107
2108static PyObject *meth__GF_fromstring(PyObject *me,
2109 PyObject *arg, PyObject *kw)
2110{
2111 int r = 0;
2112 char *p;
6b54260d 2113 Py_ssize_t len;
d7ab1bab 2114 PyObject *z = 0;
2115 mp *zz;
2116 mptext_stringctx sc;
2117 char *kwlist[] = { "class", "x", "radix", 0 };
2118
2119 if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring",
2120 kwlist, &me, &p, &len, &r))
2121 goto end;
4b3890c7 2122 if (!good_radix_p(r, 1)) VALERR("bad radix");
d7ab1bab 2123 sc.buf = p; sc.lim = p + len;
4b3890c7
MW		 2124 if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 ||
2125 MP_NEGP(zz)) {
2126 if (zz) MP_DROP(zz);
80f7cd89 2127 VALERR("bad binary polynomial");
4b3890c7 2128 }
6b54260d
MW		 2129 z = Py_BuildValue("(Ns#)", gf_pywrap(zz),
2130 sc.buf, (Py_ssize_t)(sc.lim - sc.buf));
d7ab1bab 2131end:
2132 return (z);
2133}
2134
2135/*----- Sparse poly reduction ---------------------------------------------*/
2136
2137typedef struct gfreduce_pyobj {
2138 PyObject_HEAD
2139 gfreduce mr;
2140} gfreduce_pyobj;
2141
2142#define GFREDUCE_PY(o) (&((gfreduce_pyobj *)(o))->mr)
2143
2144static PyObject *grmeth_exp(PyObject *me, PyObject *arg)
2145{
2146 PyObject *rc = 0;
2147 mp *yy = 0, *zz = 0;
2148
2149 if (!PyArg_ParseTuple(arg, "O&O&:exp", convgf, &yy, convgf, &zz))
2150 goto end;
2151 if (MP_NEGP(zz)) {
2152 if ((yy = gf_modinv_checked(yy, yy, GFREDUCE_PY(me)->p)) == 0) goto end;
2153 zz = mp_neg(zz, zz);
2154 }
2155 rc = gf_pywrap(gfreduce_exp(GFREDUCE_PY(me), MP_NEW, yy, zz));
2156end:
2157 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
2158 return (rc);
2159}
2160
fbc145f3
MW		 2161static PyObject *grmeth_trace(PyObject *me, PyObject *arg)
2162{
2163 PyObject *rc = 0;
2164 mp *xx = 0;
2165
2166 if (!PyArg_ParseTuple(arg, "O&:trace", convgf, &xx)) goto end;
2167 rc = PyInt_FromLong(gfreduce_trace(GFREDUCE_PY(me), xx));
2168end:
2169 if (xx) MP_DROP(xx);
2170 return (rc);
2171}
2172
2173static PyObject *grmeth_halftrace(PyObject *me, PyObject *arg)
2174{
2175 PyObject *rc = 0;
2176 mp *xx = 0;
2177
2178 if (!PyArg_ParseTuple(arg, "O&:halftrace", convgf, &xx)) goto end;
2179 rc = gf_pywrap(gfreduce_halftrace(GFREDUCE_PY(me), MP_NEW, xx));
2180end:
2181 if (xx) MP_DROP(xx);
2182 return (rc);
2183}
2184
2185static PyObject *grmeth_sqrt(PyObject *me, PyObject *arg)
2186{
2187 PyObject *rc = 0;
2188 mp *xx = 0, *yy;
2189
2190 if (!PyArg_ParseTuple(arg, "O&:sqrt", convgf, &xx)) goto end;
2191 if ((yy = gfreduce_sqrt(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
2192 VALERR("no modular square root");
2193 rc = gf_pywrap(yy);
2194end:
2195 if (xx) MP_DROP(xx);
2196 return (rc);
2197}
2198
2199static PyObject *grmeth_quadsolve(PyObject *me, PyObject *arg)
2200{
2201 PyObject *rc = 0;
2202 mp *xx = 0, *yy;
2203
2204 if (!PyArg_ParseTuple(arg, "O&:quadsolve", convgf, &xx)) goto end;
2205 if ((yy = gfreduce_quadsolve(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
2206 VALERR("no solution found");
2207 rc = gf_pywrap(yy);
2208end:
2209 if (xx) MP_DROP(xx);
2210 return (rc);
2211}
2212
d7ab1bab 2213static PyObject *grmeth_reduce(PyObject *me, PyObject *arg)
2214{
2215 PyObject *z = 0;
2216 mp *yy = 0;
2217
2218 if (!PyArg_ParseTuple(arg, "O&:reduce", convgf, &yy)) goto end;
2219 z = gf_pywrap(gfreduce_do(GFREDUCE_PY(me), MP_NEW, yy));
2220end:
2221 return (z);
2222}
2223
2224static void gfreduce_pydealloc(PyObject *me)
2225{
2226 gfreduce_destroy(GFREDUCE_PY(me));
3aa33042 2227 FREEOBJ(me);
d7ab1bab 2228}
2229
2230static PyObject *gfreduce_pynew(PyTypeObject *ty,
2231 PyObject *arg, PyObject *kw)
2232{
2233 gfreduce_pyobj *mr = 0;
2234 gfreduce r;
2235 char *kwlist[] = { "m", 0 };
2236 mp *xx = 0;
2237
2238 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convgf, &xx))
2239 goto end;
2240 if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!");
2241 gfreduce_create(&r, xx);
2242 mr = (gfreduce_pyobj *)ty->tp_alloc(ty, 0);
2243 mr->mr = r;
2244end:
2245 if (xx) MP_DROP(xx);
2246 return ((PyObject *)mr);
2247}
2248
2249static PyObject *grget_m(PyObject *me, void *hunoz)
2250 { return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); }
2251
2252static PyGetSetDef gfreduce_pygetset[] = {
2253#define GETSETNAME(op, name) gr##op##_##name
2254 GET (m, "R.m -> reduction polynomial")
2255#undef GETSETNAME
2256 { 0 }
2257};
2258
2259static PyMethodDef gfreduce_pymethods[] = {
2260#define METHNAME(name) grmeth_##name
2261 METH (reduce, "R.reduce(X) -> X mod B.m")
fbc145f3
MW		 2262 METH (trace, "R.trace(X) -> Tr(X) = x + x^2 + ... + x^{2^{m - 1}}")
2263 METH (halftrace, "R.halftrace(X) -> x + x^{2^2} + ... + x^{2^{m - 1}}")
2264 METH (sqrt, "R.sqrt(X) -> Y where Y^2 = X mod R")
2265 METH (quadsolve, "R.quadsolve(X) -> Y where Y^2 + Y = X mod R")
d7ab1bab 2266 METH (exp, "R.exp(X, N) -> X^N mod B.m")
2267#undef METHNAME
2268 { 0 }
2269};
2270
2271static PyTypeObject *gfreduce_pytype, gfreduce_pytype_skel = {
6d4db0bf 2272 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 2273 "GFReduce", /* @tp_name@ */
d7ab1bab 2274 sizeof(gfreduce_pyobj), /* @tp_basicsize@ */
2275 0, /* @tp_itemsize@ */
2276
2277 gfreduce_pydealloc, /* @tp_dealloc@ */
2278 0, /* @tp_print@ */
2279 0, /* @tp_getattr@ */
2280 0, /* @tp_setattr@ */
2281 0, /* @tp_compare@ */
2282 0, /* @tp_repr@ */
2283 0, /* @tp_as_number@ */
2284 0, /* @tp_as_sequence@ */
2285 0, /* @tp_as_mapping@ */
2286 0, /* @tp_hash@ */
2287 0, /* @tp_call@ */
2288 0, /* @tp_str@ */
2289 0, /* @tp_getattro@ */
2290 0, /* @tp_setattro@ */
2291 0, /* @tp_as_buffer@ */
2292 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2293 Py_TPFLAGS_BASETYPE,
2294
2295 /* @tp_doc@ */
2296"A reduction context for reduction modulo sparse irreducible polynomials.",
2297
2298 0, /* @tp_traverse@ */
2299 0, /* @tp_clear@ */
2300 0, /* @tp_richcompare@ */
2301 0, /* @tp_weaklistoffset@ */
2302 0, /* @tp_iter@ */
963a6148 2303 0, /* @tp_iternext@ */
d7ab1bab 2304 gfreduce_pymethods, /* @tp_methods@ */
2305 0, /* @tp_members@ */
2306 gfreduce_pygetset, /* @tp_getset@ */
2307 0, /* @tp_base@ */
2308 0, /* @tp_dict@ */
2309 0, /* @tp_descr_get@ */
2310 0, /* @tp_descr_set@ */
2311 0, /* @tp_dictoffset@ */
2312 0, /* @tp_init@ */
2313 PyType_GenericAlloc, /* @tp_alloc@ */
2314 gfreduce_pynew, /* @tp_new@ */
3aa33042 2315 0, /* @tp_free@ */
d7ab1bab 2316 0 /* @tp_is_gc@ */
2317};
2318
2319/*----- Normal/poly transformation ----------------------------------------*/
2320
2321typedef struct gfn_pyobj {
2322 PyObject_HEAD
2323 mp *p;
2324 gfn ntop, pton;
2325} gfn_pyobj;
2326
2327static PyTypeObject *gfn_pytype, gfn_pytype_skel;
2328
2329#define GFN_P(o) (((gfn_pyobj *)(o))->p)
2330#define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton)
2331#define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop)
2332
2333static PyObject *gfn_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
2334{
2335 mp *p = 0, *beta = 0;
2336 gfn_pyobj *gg = 0;
2337 char *kwlist[] = { "p", "beta", 0 };
2338
2339 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", kwlist,
2340 convgf, &p, convgf, &beta))
2341 goto end;
2342 gg = PyObject_New(gfn_pyobj, ty);
2343 if (gfn_create(p, beta, &gg->ntop, &gg->pton)) {
3aa33042 2344 FREEOBJ(gg);
d7ab1bab 2345 gg = 0;
2346 VALERR("can't invert transformation matrix");
2347 }
2348 gg->p = MP_COPY(p);
2349end:
2350 mp_drop(p);
2351 mp_drop(beta);
2352 return ((PyObject *)gg);
2353}
2354
2355static PyObject *gfnget_p(PyObject *me, void *hunoz)
2356 { return (gf_pywrap(MP_COPY(GFN_P(me)))); }
2357
2358static PyObject *gfnget_beta(PyObject *me, void *hunoz)
2359{
2360 gfn *n = GFN_NTOP(me);
2361 mp *x = n->r[n->n - 1];
2362 return (gf_pywrap(MP_COPY(x)));
2363}
2364
2365#define XFORMOP(name, NAME) \
2366 static PyObject *gfnmeth_##name(PyObject *me, PyObject *arg) \
2367 { \
2368 mp *xx = 0; \
2369 mp *z = 0; \
2370 \
2371 if (!PyArg_ParseTuple(arg, "O&:" #name, convgf, &xx)) goto end; \
2372 z = gfn_transform(GFN_##NAME(me), MP_NEW, xx); \
2373 end: \
2374 mp_drop(xx); \
2375 if (!z) return (0); \
2376 return (mp_pywrap(z)); \
2377 }
2378XFORMOP(pton, PTON)
2379XFORMOP(ntop, NTOP)
2380#undef XFORMOP
2381
2382static void gfn_pydealloc(PyObject *me)
2383{
2384 gfn_destroy(GFN_PTON(me));
2385 gfn_destroy(GFN_NTOP(me));
3aa33042 2386 FREEOBJ(me);
d7ab1bab 2387}
2388
2389static PyGetSetDef gfn_pygetset[] = {
2390#define GETSETNAME(op, name) gfn##op##_##name
2391 GET (p, "X.p -> polynomial basis, as polynomial")
2392 GET (beta, "X.beta -> normal basis element, in poly form")
2393#undef GETSETNAME
2394 { 0 }
2395};
2396
2397static PyMethodDef gfn_pymethods[] = {
2398#define METHNAME(name) gfnmeth_##name
2399 METH (pton, "X.pton(A) -> normal-basis representation of A")
2400 METH (ntop, "X.ntop(A) -> polynomial-basis representation of A")
2401#undef METHNAME
2402 { 0 }
2403};
2404
2405static PyTypeObject gfn_pytype_skel = {
6d4db0bf 2406 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 2407 "GFN", /* @tp_name@ */
d7ab1bab 2408 sizeof(gfn_pyobj), /* @tp_basicsize@ */
2409 0, /* @tp_itemsize@ */
2410
2411 gfn_pydealloc, /* @tp_dealloc@ */
2412 0, /* @tp_print@ */
2413 0, /* @tp_getattr@ */
2414 0, /* @tp_setattr@ */
2415 0, /* @tp_compare@ */
2416 0, /* @tp_repr@ */
2417 0, /* @tp_as_number@ */
2418 0, /* @tp_as_sequence@ */
2419 0, /* @tp_as_mapping@ */
2420 0, /* @tp_hash@ */
2421 0, /* @tp_call@ */
2422 0, /* @tp_str@ */
2423 0, /* @tp_getattro@ */
2424 0, /* @tp_setattro@ */
2425 0, /* @tp_as_buffer@ */
2426 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2427 Py_TPFLAGS_BASETYPE,
2428
2429 /* @tp_doc@ */
2430"An object for transforming elements of binary fields between polynomial\n\
2431and normal basis representations.",
2432
2433 0, /* @tp_traverse@ */
2434 0, /* @tp_clear@ */
2435 0, /* @tp_richcompare@ */
2436 0, /* @tp_weaklistoffset@ */
2437 0, /* @tp_iter@ */
963a6148 2438 0, /* @tp_iternext@ */
d7ab1bab 2439 gfn_pymethods, /* @tp_methods@ */
2440 0, /* @tp_members@ */
2441 gfn_pygetset, /* @tp_getset@ */
2442 0, /* @tp_base@ */
2443 0, /* @tp_dict@ */
2444 0, /* @tp_descr_get@ */
2445 0, /* @tp_descr_set@ */
2446 0, /* @tp_dictoffset@ */
2447 0, /* @tp_init@ */
2448 PyType_GenericAlloc, /* @tp_alloc@ */
2449 gfn_pynew, /* @tp_new@ */
3aa33042 2450 0, /* @tp_free@ */
d7ab1bab 2451 0 /* @tp_is_gc@ */
2452};
2453
2454/*----- Glue --------------------------------------------------------------*/
2455
2456static PyMethodDef methods[] = {
2457#define METHNAME(func) meth_##func
b2687a0a 2458 KWMETH(_MP_fromstring, "\
d7ab1bab 2459fromstring(STR, radix = 0) -> (X, REST)\n\
2460\n\
2461Parse STR as a large integer, according to radix. If radix is zero,\n\
2462read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\
2463or `R_' for other radix R.")
b2687a0a 2464 KWMETH(_GF_fromstring, "\
d7ab1bab 2465fromstring(STR, radix = 0) -> (X, REST)\n\
2466\n\
2467Parse STR as a binary polynomial, according to radix. If radix is zero,\n\
2468read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\
2469or `R_' for other radix R.")
9f49c854
MW		 2470 METH (_MP_factorial, "\
2471factorial(I) -> I!: compute factorial")
6313f40e
MW		 2472 METH (_MP_fibonacci, "\
2473fibonacci(I) -> F(I): compute Fibonacci number")
d7ab1bab 2474 METH (_MP_loadl, "\
2475loadl(STR) -> X: read little-endian bytes")
2476 METH (_MP_loadb, "\
2477loadb(STR) -> X: read big-endian bytes")
2478 METH (_MP_loadl2c, "\
2479loadl2c(STR) -> X: read little-endian bytes, two's complement")
2480 METH (_MP_loadb2c, "\
2481loadb2c(STR) -> X: read big-endian bytes, two's complement")
2482 METH (_MP_frombuf, "\
2483frombuf(STR) -> (X, REST): read buffer format")
d7ab1bab 2484 METH (_GF_loadl, "\
2485loadl(STR) -> X: read little-endian bytes")
2486 METH (_GF_loadb, "\
2487loadb(STR) -> X: read big-endian bytes")
2488 METH (_GF_frombuf, "\
2489frombuf(STR) -> (X, REST): read buffer format")
2490#undef METHNAME
2491 { 0 }
2492};
2493
2494void mp_pyinit(void)
2495{
2496 INITTYPE(mp, root);
2497 INITTYPE(gf, root);
32507e35 2498 INITTYPE(mpmul, root);
d7ab1bab 2499 INITTYPE(mpmont, root);
2500 INITTYPE(mpbarrett, root);
2501 INITTYPE(mpreduce, root);
2502 INITTYPE(mpcrt, root);
2503 INITTYPE(gfreduce, root);
2504 INITTYPE(gfn, root);
2505 addmethods(methods);
2506}
2507
2508void mp_pyinsert(PyObject *mod)
2509{
2510 INSERT("MP", mp_pytype);
32507e35 2511 INSERT("MPMul", mpmul_pytype);
d7ab1bab 2512 INSERT("MPMont", mpmont_pytype);
2513 INSERT("MPBarrett", mpbarrett_pytype);
2514 INSERT("MPReduce", mpreduce_pytype);
2515 INSERT("MPCRT", mpcrt_pytype);
2516 INSERT("GF", gf_pytype);
2517 INSERT("GFReduce", gfreduce_pytype);
2518 INSERT("GFN", gfn_pytype);
2519}
2520
2521/*----- That's all, folks -------------------------------------------------*/
Catacomb cryptographic library -- Python bindings