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Return `long' objects when `int' is requested but the value won't fit.
[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
5779eaf1 166int mp_tolong_checked(mp *x, long *l, int must)
d7ab1bab 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 }
5779eaf1
MW		 175 if (MP_CMP(x, <, longmin) || MP_CMP(x, >, longmax)) {
176 if (must) VALERR("mp out of range for int");
177 else goto end;
178 }
d7ab1bab 179 *l = mp_tolong(x);
180 rc = 0;
181end:
182 return (rc);
183}
184
185/*----- Python interface --------------------------------------------------*/
186
187static void mp_pydealloc(PyObject *o)
188{
189 MP_DROP(MP_X(o));
3aa33042 190 FREEOBJ(o);
d7ab1bab 191}
192
193static PyObject *mp_pyrepr(PyObject *o)
194 { return mp_topystring(MP_X(o), 10, "MP(", 0, "L)"); }
195
196static PyObject *mp_pystr(PyObject *o)
197 { return mp_topystring(MP_X(o), 10, 0, 0, 0); }
198
199mp *tomp(PyObject *o)
200{
201 PyObject *l;
202 mp *x;
203
204 if (!o)
205 return (0);
206 else if (MP_PYCHECK(o) || GF_PYCHECK(o))
207 return (MP_COPY(MP_X(o)));
208 else if (FE_PYCHECK(o))
209 return (F_OUT(FE_F(o), MP_NEW, FE_X(o)));
210 else if (PFILT_PYCHECK(o))
211 return (MP_COPY(PFILT_F(o)->m));
212 else if (ECPT_PYCHECK(o)) {
213 ec p = EC_INIT;
214 getecptout(&p, o);
215 x = MP_COPY(p.x);
216 EC_DESTROY(&p);
217 return (x);
218 } else if (GE_PYCHECK(o)) {
219 if ((x = G_TOINT(GE_G(o), MP_NEW, GE_X(o))) == 0)
220 return (0);
221 return (x);
222 } else if (PyInt_Check(o))
223 return (mp_fromlong(MP_NEW, PyInt_AS_LONG(o)));
224 else if ((l = PyNumber_Long(o)) != 0) {
f368b46e 225 x = mp_frompylong(l);
d7ab1bab 226 Py_DECREF(l);
227 return (x);
228 } else {
229 PyErr_Clear();
230 return (0);
231 }
232}
233
234mp *getmp(PyObject *o)
235{
236 mp *x = 0;
237 if (!o) return (0);
238 if ((x = tomp(o)) == 0) {
239 PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp",
240 o->ob_type->tp_name);
241 }
242 return (x);
243}
244
245int convmp(PyObject *o, void *p)
246{
247 mp *x;
248 if ((x = getmp(o)) == 0) return (0);
249 *(mp **)p = x;
250 return (1);
251}
252
253mp *getgf(PyObject *o)
254{
255 mp *x = 0;
256 if (!o) return (0);
257 if ((x = tomp(o)) == 0) {
258 PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf",
259 o->ob_type->tp_name);
260 }
261 return (x);
262}
263
264int convgf(PyObject *o, void *p)
265{
266 mp *x;
267 if ((x = getgf(o)) == 0) return (0);
268 *(mp **)p = x;
269 return (1);
270}
271
bf8910bd
MW		 272static mp *implicitmp(PyObject *o)
273{
274 if (!o ||
275 GF_PYCHECK(o) ||
276 ECPT_PYCHECK(o) ||
277 FE_PYCHECK(o) ||
278 GE_PYCHECK(o))
279 return (0);
280 return (tomp(o));
281}
282
283static mp *implicitgf(PyObject *o)
284{
285 if (!o ||
286 MP_PYCHECK(o) ||
287 ECPT_PYCHECK(o) ||
288 FE_PYCHECK(o) ||
289 GE_PYCHECK(o))
290 return (0);
291 return (tomp(o));
292}
293
d7ab1bab 294static int mpbinop(PyObject *x, PyObject *y, mp **xx, mp **yy)
295{
bf8910bd
MW		 296 if ((*xx = implicitmp(x)) == 0)
297 return (-1);
298 if ((*yy = implicitmp(y)) == 0) {
299 MP_DROP(*xx);
300 return (-1);
301 }
302 return (0);
303}
304
305static int gfbinop(PyObject *x, PyObject *y, mp **xx, mp **yy)
306{
307 if ((*xx = implicitgf(x)) == 0)
d7ab1bab 308 return (-1);
bf8910bd 309 if ((*yy = implicitgf(y)) == 0) {
d7ab1bab 310 MP_DROP(*xx);
311 return (-1);
312 }
313 return (0);
314}
315
316#define gf_and mp_and
317#define gf_or mp_or
318#define gf_xor mp_xor
319#define BINOP(pre, name) \
320 static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \
321 mp *xx, *yy, *zz; \
bf8910bd 322 if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
d7ab1bab 323 zz = pre##_##name(MP_NEW, xx, yy); \
324 MP_DROP(xx); MP_DROP(yy); \
325 return (pre##_pywrap(zz)); \
326 }
327BINOP(mp, add)
328BINOP(mp, sub)
329BINOP(mp, mul)
330BINOP(mp, and2c)
331BINOP(mp, or2c)
332BINOP(mp, xor2c)
333BINOP(gf, add)
334BINOP(gf, sub)
335BINOP(gf, mul)
336BINOP(gf, and)
337BINOP(gf, or)
338BINOP(gf, xor)
339#undef BINOP
340
341static mp *mp_abs(mp *d, mp *x)
342{
343 if (MP_NEGP(x))
344 return (mp_neg(d, x));
345 MP_COPY(x);
346 if (d) MP_DROP(d);
347 return (x);
348}
349
350#define UNOP(pre, name) \
351 static PyObject *pre##_py##name(PyObject *x) \
352 { return mp_pywrap(pre##_##name(MP_NEW, MP_X(x))); }
353UNOP(mp, neg)
354UNOP(mp, abs)
355UNOP(mp, not2c)
356#undef UNOP
357
358static PyObject *mp_pyid(PyObject *x) { RETURN_OBJ(x); }
359
360#define gf_lsr mp_lsr
361#define SHIFTOP(pre, name, rname) \
362 static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \
363 mp *xx, *yy; \
364 PyObject *z = 0; \
365 long n; \
bf8910bd 366 if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
5779eaf1 367 if (mp_tolong_checked(yy, &n, 1)) goto end; \
d7ab1bab 368 if (n < 0) \
369 z = pre##_pywrap(mp_##rname(MP_NEW, xx, -n)); \
370 else \
371 z = pre##_pywrap(mp_##name(MP_NEW, xx, n)); \
372 end: \
373 MP_DROP(xx); MP_DROP(yy); \
374 return (z); \
375 }
376SHIFTOP(mp, lsl2c, lsr2c)
377SHIFTOP(mp, lsr2c, lsl2c)
378SHIFTOP(gf, lsl, lsr)
379SHIFTOP(gf, lsr, lsl)
380#undef SHIFTOP
381
382#define DIVOP(pre, name, qq, rr, gather) \
383 static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \
384 mp *xx, *yy; \
385 PyObject *z = 0; \
386 INIT_##qq(q) INIT_##rr(r) \
bf8910bd 387 if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
d7ab1bab 388 if (MP_ZEROP(yy)) \
389 ZDIVERR("division by zero"); \
390 pre##_div(ARG_##qq(q), ARG_##rr(r), xx, yy); \
391 z = gather; \
392 end: \
393 MP_DROP(xx); MP_DROP(yy); \
394 return (z); \
395 }
396#define INIT_YES(p) mp *p = MP_NEW;
397#define INIT_NO(p)
398#define ARG_YES(p) &p
399#define ARG_NO(p) 0
400DIVOP(mp, divmod, YES, YES,
401 Py_BuildValue("(NN)", mp_pywrap(q), mp_pywrap(r)))
402DIVOP(mp, div, YES, NO, mp_pywrap(q))
403DIVOP(mp, mod, NO, YES, mp_pywrap(r))
404DIVOP(gf, divmod, YES, YES,
405 Py_BuildValue("(NN)", gf_pywrap(q), gf_pywrap(r)))
406DIVOP(gf, div, YES, NO, gf_pywrap(q))
407DIVOP(gf, mod, NO, YES, gf_pywrap(r))
408#undef INIT_YES
409#undef INIT_NO
410#undef ARG_YES
411#undef ARG_NO
412#undef DIVOP
413
414static mp *mp_modinv_checked(mp *d, mp *x, mp *p)
415{
416 mp *g = MP_NEW;
417 mp_gcd(&g, 0, &d, p, x);
418 if (!MP_EQ(g, MP_ONE)) {
419 MP_DROP(g); MP_DROP(d);
420 PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse");
421 return (0);
422 }
423 MP_DROP(g); return (d);
424}
425
426static PyObject *mp_pyexp(PyObject *x, PyObject *y, PyObject *z)
427{
428 mp *xx = 0, *yy = 0, *zz = 0;
429 mp *r = 0;
430 PyObject *rc = 0;
431
bf8910bd 432 if ((xx = implicitmp(x)) == 0 || (yy = implicitmp(y)) == 0 ||
d7ab1bab 433 (z && z != Py_None && (zz = tomp(z)) == 0)) {
434 mp_drop(xx); mp_drop(yy); mp_drop(zz);
435 RETURN_NOTIMPL;
436 }
437 if (!z || z == Py_None) {
438 if (MP_NEGP(yy)) VALERR("negative exponent");
439 r = mp_exp(MP_NEW, xx, yy);
440 } else {
441 if (!MP_POSP(zz)) VALERR("modulus must be positive");
442 if (MP_NEGP(yy)) {
443 if ((xx = mp_modinv_checked(xx, xx, zz)) == 0) goto end;
444 yy = mp_neg(yy, yy);
445 }
446 if (MP_ODDP(zz)) {
447 mpmont mm;
448 mpmont_create(&mm, zz);
449 r = mpmont_exp(&mm, MP_NEW, xx, yy);
450 mpmont_destroy(&mm);
451 } else {
452 mpbarrett mb;
453 mpbarrett_create(&mb, zz);
454 r = mpbarrett_exp(&mb, MP_NEW, xx, yy);
455 mpbarrett_destroy(&mb);
456 }
457 }
458 rc = mp_pywrap(r);
459end:
460 mp_drop(xx); mp_drop(yy); mp_drop(zz);
461 return (rc);
462}
463
464static mp *gf_modinv_checked(mp *d, mp *x, mp *p)
465{
466 mp *g = MP_NEW;
467 gf_gcd(&g, 0, &d, p, x);
468 if (!MP_EQ(g, MP_ONE)) {
469 MP_DROP(g); MP_DROP(d);
470 PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse");
471 return (0);
472 }
473 MP_DROP(g); return (d);
474}
475
476#define BASEOP(name, radix, pre) \
477 static PyObject *mp_py##name(PyObject *x) \
478 { return mp_topystring(MP_X(x), radix, 0, pre, 0); }
479BASEOP(oct, 8, "0");
480BASEOP(hex, 16, "0x");
481#undef BASEOP
482
483static int mp_pynonzerop(PyObject *x) { return !MP_ZEROP(MP_X(x)); }
484
485static PyObject *mp_pyint(PyObject *x)
486{
487 long l;
5779eaf1
MW		 488 if (!mp_tolong_checked(MP_X(x), &l, 0)) return (PyInt_FromLong(l));
489 else return mp_topylong(MP_X(x));
d7ab1bab 490}
491static PyObject *mp_pylong(PyObject *x)
f368b46e 492 { return (mp_topylong(MP_X(x))); }
d7ab1bab 493static PyObject *mp_pyfloat(PyObject *x)
494{
f368b46e 495 PyObject *l = mp_topylong(MP_X(x));
d7ab1bab 496 double f = PyLong_AsDouble(l);
497 Py_DECREF(l);
498 return (PyFloat_FromDouble(f));
499}
500
b2687a0a 501#define COERCE(pre, PRE) \
d7ab1bab 502 static int pre##_pycoerce(PyObject **x, PyObject **y) \
503 { \
504 mp *z; \
505 \
506 if (PRE##_PYCHECK(*y)) { \
507 Py_INCREF(*x); Py_INCREF(*y); \
508 return (0); \
509 } \
510 if ((z = tomp(*y)) != 0) { \
511 Py_INCREF(*x); \
512 *y = pre##_pywrap(z); \
513 return (0); \
514 } \
515 return (1); \
516 }
517COERCE(mp, MP)
518COERCE(gf, GF)
519#undef COERCE
520
521static int mp_pycompare(PyObject *x, PyObject *y)
522 { return mp_cmp(MP_X(x), MP_X(y)); }
523
524static PyObject *mp_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
525{
526 PyObject *x;
527 mp *z;
528 mp_pyobj *zz = 0;
529 int radix = 0;
530 char *kwlist[] = { "x", "radix", 0 };
531
f368b46e 532 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:new", kwlist, &x, &radix))
d7ab1bab 533 goto end;
534 if (MP_PYCHECK(x)) RETURN_OBJ(x);
f368b46e 535 if (!good_radix_p(radix, 1)) VALERR("bad radix");
d7ab1bab 536 if ((z = mp_frompyobject(x, radix)) == 0) {
537 PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp",
538 x->ob_type->tp_name);
539 goto end;
540 }
541 zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
542 zz->x = z;
543end:
544 return ((PyObject *)zz);
545}
546
547static long mp_pyhash(PyObject *me)
548{
f368b46e
MW		 549 long h;
550 PyObject *l = mp_topylong(MP_X(me)); h = PyObject_Hash(l);
551 Py_DECREF(l); return (h);
d7ab1bab 552}
553
554static PyObject *mpmeth_jacobi(PyObject *me, PyObject *arg)
555{
556 mp *y = 0;
557 PyObject *z = 0;
558
559 if (!PyArg_ParseTuple(arg, "O&:jacobi", convmp, &y)) goto end;
560 z = PyInt_FromLong(mp_jacobi(y, MP_X(me)));
561end:
562 if (y) MP_DROP(y);
563 return (z);
564}
565
566#define BITOP(pre, name, c) \
567 static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \
568 { \
a1be89ad
MW		 569 unsigned long i; \
570 if (!PyArg_ParseTuple(arg, "O&:" #name, convulong, &i)) return (0); \
d7ab1bab 571 return (pre##_pywrap(mp_##name##c(MP_NEW, MP_X(me), i))); \
572 }
573BITOP(mp, setbit, 2c);
574BITOP(mp, clearbit, 2c);
b2687a0a 575BITOP(gf, setbit, );
d7ab1bab 576BITOP(gf, clearbit, );
577#undef BITOP
578
579static PyObject *mpmeth_testbit(PyObject *me, PyObject *arg)
580{
a1be89ad
MW		 581 unsigned long i;
582 if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0);
d7ab1bab 583 return (getbool(mp_testbit2c(MP_X(me), i)));
584}
585
586static PyObject *gfmeth_testbit(PyObject *me, PyObject *arg)
587{
a1be89ad
MW		 588 unsigned long i;
589 if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0);
d7ab1bab 590 return (getbool(mp_testbit(MP_X(me), i)));
591}
592
593static PyObject *mpmeth_odd(PyObject *me, PyObject *arg)
594{
595 mp *t;
596 size_t s;
597
598 if (!PyArg_ParseTuple(arg, ":odd")) return (0);
599 t = mp_odd(MP_NEW, MP_X(me), &s);
600 return (Py_BuildValue("(lN)", (long)s, mp_pywrap(t)));
601}
602
603static PyObject *mpmeth_sqr(PyObject *me, PyObject *arg)
604{
605 if (!PyArg_ParseTuple(arg, ":sqr")) return (0);
606 return (mp_pywrap(mp_sqr(MP_NEW, MP_X(me))));
607}
608
609static PyObject *mpmeth_sqrt(PyObject *me, PyObject *arg)
610{
611 if (!PyArg_ParseTuple(arg, ":sqrt")) return (0);
612 if (MP_NEGP(MP_X(me))) VALERR("negative root");
613 return (mp_pywrap(mp_sqrt(MP_NEW, MP_X(me))));
614end:
615 return (0);
616}
617
618static PyObject *mpmeth_gcd(PyObject *me, PyObject *arg)
619{
620 mp *y = 0, *zz = MP_NEW;
621 PyObject *z = 0;
622
623 if (!PyArg_ParseTuple(arg, "O&:gcd", convmp, &y)) goto end;
624 mp_gcd(&zz, 0, 0, MP_X(me), y);
625 z = mp_pywrap(zz);
626end:
627 if (y) MP_DROP(y);
628 return (z);
629}
630
631static PyObject *mpmeth_gcdx(PyObject *me, PyObject *arg)
632{
633 PyObject *z = 0;
634 mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW;
635
636 if (!PyArg_ParseTuple(arg, "O&:gcdx", convmp, &yy)) goto end;
637 mp_gcd(&zz, &uu, &vv, MP_X(me), yy);
638 z = Py_BuildValue("(NNN)",
639 mp_pywrap(zz), mp_pywrap(uu), mp_pywrap(vv));
640end:
641 if (yy) MP_DROP(yy);
642 return (z);
643}
644
645static PyObject *mpmeth_modinv(PyObject *me, PyObject *arg)
646{
647 PyObject *z = 0;
648 mp *yy = 0, *zz = MP_NEW;
649
650 if (!PyArg_ParseTuple(arg, "O&:modinv", convmp, &yy) ||
651 (zz = mp_modinv_checked(MP_NEW, yy, MP_X(me))) == 0)
652 goto end;
653 z = mp_pywrap(zz);
654end:
655 if (yy) MP_DROP(yy);
656 return (z);
657}
658
659static PyObject *mpmeth_tostring(PyObject *me, PyObject *arg, PyObject *kw)
660{
661 int radix = 10;
662 char *kwlist[] = { "radix", 0 };
663 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:tostring", kwlist, &radix))
664 goto end;
f368b46e 665 if (!good_radix_p(radix, 0)) VALERR("bad radix");
d7ab1bab 666 return (mp_topystring(MP_X(me), radix, 0, 0, 0));
667end:
668 return (0);
669}
670
671static PyObject *mpmeth_modsqrt(PyObject *me, PyObject *arg)
672{
673 PyObject *z = 0;
674 mp *yy = 0, *zz = MP_NEW;
675
676 if (!PyArg_ParseTuple(arg, "O&:modsqrt", convmp, &yy)) goto end;
677 if ((zz = mp_modsqrt(MP_NEW, yy, MP_X(me))) == 0)
678 VALERR("no modular square root");
679 z = mp_pywrap(zz);
680end:
681 if (yy) MP_DROP(yy);
682 return (z);
683}
684
685#define STOREOP(name, c) \
686 static PyObject *mpmeth_##name(PyObject *me, \
687 PyObject *arg, PyObject *kw) \
688 { \
689 long len = -1; \
690 char *kwlist[] = { "len", 0 }; \
691 PyObject *rc = 0; \
692 \
693 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|l:" #name, \
694 kwlist, &len)) \
695 goto end; \
696 if (len < 0) { \
697 len = mp_octets##c(MP_X(me)); \
698 if (!len) len = 1; \
699 } \
700 rc = bytestring_pywrap(0, len); \
701 mp_##name(MP_X(me), PyString_AS_STRING(rc), len); \
702 end: \
703 return (rc); \
704 }
705STOREOP(storel, )
706STOREOP(storeb, )
707STOREOP(storel2c, 2c)
708STOREOP(storeb2c, 2c)
709#undef STOREOP
710
711#define BUFOP(ty, pyty) \
712 static PyObject *meth__##pyty##_frombuf(PyObject *me, PyObject *arg) \
713 { \
714 buf b; \
715 char *p; \
716 int sz; \
717 PyObject *rc = 0; \
718 mp *x; \
719 \
720 if (!PyArg_ParseTuple(arg, "Os#:frombuf", &me, &p, &sz)) goto end; \
721 buf_init(&b, p, sz); \
722 if ((x = buf_getmp(&b)) == 0) VALERR("malformed data"); \
723 rc = Py_BuildValue("(NN)", ty##_pywrap(x), \
724 bytestring_pywrapbuf(&b)); \
725 end: \
726 return (rc); \
727 }
728BUFOP(mp, MP)
729BUFOP(gf, GF)
730#undef BUFOP
731
732static PyObject *mpmeth_tobuf(PyObject *me, PyObject *arg)
733{
734 buf b;
735 PyObject *rc;
736 mp *x;
737 size_t n;
738
739 if (!PyArg_ParseTuple(arg, ":tobuf")) return (0);
740 x = MP_X(me);
741 n = mp_octets(x) + 3;
742 rc = bytestring_pywrap(0, n);
743 buf_init(&b, PyString_AS_STRING(rc), n);
744 buf_putmp(&b, x);
745 assert(BOK(&b));
746 _PyString_Resize(&rc, BLEN(&b));
747 return (rc);
748}
749
750static PyObject *mpmeth_primep(PyObject *me, PyObject *arg, PyObject *kw)
751{
752 grand *r = &rand_global;
753 char *kwlist[] = { "rng", 0 };
754 PyObject *rc = 0;
755
756 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&", kwlist, convgrand, &r))
757 goto end;
758 rc = getbool(pgen_primep(MP_X(me), r));
759end:
760 return (rc);
761}
762
763static PyObject *mpget_nbits(PyObject *me, void *hunoz)
764 { return (PyInt_FromLong(mp_bits(MP_X(me)))); }
765
766static PyObject *mpget_noctets(PyObject *me, void *hunoz)
767 { return (PyInt_FromLong(mp_octets(MP_X(me)))); }
768
769static PyObject *mpget_noctets2c(PyObject *me, void *hunoz)
770 { return (PyInt_FromLong(mp_octets2c(MP_X(me)))); }
771
772static PyGetSetDef mp_pygetset[] = {
773#define GETSETNAME(op, func) mp##op##_##func
774 GET (nbits, "X.nbits -> bit length of X")
775 GET (noctets, "X.noctets -> octet length of X")
776 GET (noctets2c, "X.noctets2c -> two's complement octet length of X")
777#undef GETSETNAME
778 { 0 }
779};
780
781static PyMethodDef mp_pymethods[] = {
782#define METHNAME(func) mpmeth_##func
783 METH (jacobi, "X.jacobi(Y) -> Jacobi symbol (Y/X) (NB inversion!)")
784 METH (setbit, "X.setbit(N) -> X with bit N set")
785 METH (clearbit, "X.clearbit(N) -> X with bit N clear")
786 METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
787 METH (odd, "X.odd() -> S, T where X = 2^S T with T odd")
788 METH (sqr, "X.sqr() -> X^2")
789 METH (sqrt, "X.sqrt() -> largest integer <= sqrt(X)")
790 METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
791 METH (gcdx,
792 "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
793 METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
794 METH (modsqrt, "X.modsqrt(Y) -> square root of Y mod X, if X prime")
795 KWMETH(primep, "X.primep(rng = rand) -> true/false if X is prime")
796 KWMETH(tostring, "X.tostring(radix = 10) -> STR")
797 KWMETH(storel, "X.storel(len = -1) -> little-endian bytes")
798 KWMETH(storeb, "X.storeb(len = -1) -> big-endian bytes")
799 KWMETH(storel2c,
800 "X.storel2c(len = -1) -> little-endian bytes, two's complement")
801 KWMETH(storeb2c,
802 "X.storeb2c(len = -1) -> big-endian bytes, two's complement")
803 METH (tobuf, "X.tobuf() -> buffer format")
804#undef METHNAME
805 { 0 }
806};
807
808static PyNumberMethods mp_pynumber = {
809 mp_pyadd, /* @nb_add@ */
810 mp_pysub, /* @nb_subtract@ */
811 mp_pymul, /* @nb_multiply@ */
812 0, /* @nb_divide@ */
813 mp_pymod, /* @nb_remainder@ */
814 mp_pydivmod, /* @nb_divmod@ */
815 mp_pyexp, /* @nb_power@ */
816 mp_pyneg, /* @nb_negative@ */
817 mp_pyid, /* @nb_positive@ */
818 mp_pyabs, /* @nb_absolute@ */
819 mp_pynonzerop, /* @nb_nonzero@ */
820 mp_pynot2c, /* @nb_invert@ */
821 mp_pylsl2c, /* @nb_lshift@ */
822 mp_pylsr2c, /* @nb_rshift@ */
823 mp_pyand2c, /* @nb_and@ */
824 mp_pyxor2c, /* @nb_xor@ */
825 mp_pyor2c, /* @nb_or@ */
826 mp_pycoerce, /* @nb_coerce@ */
827 mp_pyint, /* @nb_int@ */
828 mp_pylong, /* @nb_long@ */
829 mp_pyfloat, /* @nb_float@ */
830 mp_pyoct, /* @nb_oct@ */
831 mp_pyhex, /* @nb_hex@ */
832
833 0, /* @nb_inplace_add@ */
834 0, /* @nb_inplace_subtract@ */
835 0, /* @nb_inplace_multiply@ */
836 0, /* @nb_inplace_divide@ */
837 0, /* @nb_inplace_remainder@ */
838 0, /* @nb_inplace_power@ */
839 0, /* @nb_inplace_lshift@ */
840 0, /* @nb_inplace_rshift@ */
841 0, /* @nb_inplace_and@ */
842 0, /* @nb_inplace_xor@ */
843 0, /* @nb_inplace_or@ */
844
845 mp_pydiv, /* @nb_floor_divide@ */
846 0, /* @nb_true_divide@ */
847 0, /* @nb_inplace_floor_divide@ */
848 0, /* @nb_inplace_true_divide@ */
849};
850
851static PyTypeObject mp_pytype_skel = {
6d4db0bf 852 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 853 "MP", /* @tp_name@ */
d7ab1bab 854 sizeof(mp_pyobj), /* @tp_basicsize@ */
855 0, /* @tp_itemsize@ */
856
857 mp_pydealloc, /* @tp_dealloc@ */
858 0, /* @tp_print@ */
859 0, /* @tp_getattr@ */
860 0, /* @tp_setattr@ */
861 mp_pycompare, /* @tp_compare@ */
862 mp_pyrepr, /* @tp_repr@ */
863 &mp_pynumber, /* @tp_as_number@ */
864 0, /* @tp_as_sequence@ */
865 0, /* @tp_as_mapping@ */
866 mp_pyhash, /* @tp_hash@ */
867 0, /* @tp_call@ */
868 mp_pystr, /* @tp_str@ */
869 0, /* @tp_getattro@ */
870 0, /* @tp_setattro@ */
871 0, /* @tp_as_buffer@ */
872 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
873 Py_TPFLAGS_CHECKTYPES |
874 Py_TPFLAGS_BASETYPE,
875
876 /* @tp_doc@ */
877"Multiprecision integers, similar to `long' but more efficient and\n\
878versatile. Support all the standard arithmetic operations.\n\
879\n\
880Constructor mp(X, radix = R) attempts to convert X to an `mp'. If\n\
881X is a string, it's read in radix-R form, or we look for a prefix\n\
882if R = 0. Other acceptable things are ints and longs.\n\
883\n\
884Notes:\n\
885\n\
886 * Use `//' for division. MPs don't have `/' division.",
887
888 0, /* @tp_traverse@ */
889 0, /* @tp_clear@ */
890 0, /* @tp_richcompare@ */
891 0, /* @tp_weaklistoffset@ */
892 0, /* @tp_iter@ */
963a6148 893 0, /* @tp_iternext@ */
d7ab1bab 894 mp_pymethods, /* @tp_methods@ */
895 0, /* @tp_members@ */
896 mp_pygetset, /* @tp_getset@ */
897 0, /* @tp_base@ */
898 0, /* @tp_dict@ */
899 0, /* @tp_descr_get@ */
900 0, /* @tp_descr_set@ */
901 0, /* @tp_dictoffset@ */
902 0, /* @tp_init@ */
903 PyType_GenericAlloc, /* @tp_alloc@ */
904 mp_pynew, /* @tp_new@ */
3aa33042 905 0, /* @tp_free@ */
d7ab1bab 906 0 /* @tp_is_gc@ */
907};
908
909static PyObject *meth__MP_fromstring(PyObject *me,
bf8910bd 910 PyObject *arg, PyObject *kw)
d7ab1bab 911{
912 int r = 0;
913 char *p;
914 int len;
915 PyObject *z = 0;
916 mp *zz;
917 mptext_stringctx sc;
918 char *kwlist[] = { "class", "x", "radix", 0 };
919
920 if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring",
921 kwlist, &me, &p, &len, &r))
922 goto end;
f368b46e 923 if (!good_radix_p(r, 1)) VALERR("bad radix");
d7ab1bab 924 sc.buf = p; sc.lim = p + len;
925 if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0)
80f7cd89 926 VALERR("bad integer");
d7ab1bab 927 z = Py_BuildValue("(Ns#)", mp_pywrap(zz), sc.buf, (int)(sc.lim - sc.buf));
928end:
929 return (z);
930}
931
9f49c854
MW		 932static PyObject *meth__MP_factorial(PyObject *me, PyObject *arg)
933{
934 unsigned long i;
935 mp *x;
936 if (!PyArg_ParseTuple(arg, "OO&:factorial", &me, convulong, &i))
937 return (0);
938 x = mp_factorial(i);
939 return mp_pywrap(x);
940}
941
6313f40e
MW		 942static PyObject *meth__MP_fibonacci(PyObject *me, PyObject *arg)
943{
944 long i;
945 mp *x;
946 if (!PyArg_ParseTuple(arg, "Ol:fibonacci", &me, &i)) return (0);
947 x = mp_fibonacci(i);
948 return mp_pywrap(x);
949}
950
32507e35
MW		 951#define LOADOP(pre, py, name) \
952 static PyObject *meth__##py##_##name(PyObject *me, PyObject *arg) \
953 { \
954 char *p; \
955 int len; \
956 if (!PyArg_ParseTuple(arg, "Os#:" #name, &me, &p, &len)) return (0); \
957 return (pre##_pywrap(mp_##name(MP_NEW, p, len))); \
958 }
959LOADOP(mp, MP, loadl)
960LOADOP(mp, MP, loadb)
961LOADOP(mp, MP, loadl2c)
962LOADOP(mp, MP, loadb2c)
963LOADOP(gf, GF, loadl)
964LOADOP(gf, GF, loadb)
965#undef LOADOP
966
967/*----- Products of small integers ----------------------------------------*/
968
969typedef struct mpmul_pyobj {
970 PyObject_HEAD
971 int livep;
972 mpmul mm;
973} mpmul_pyobj;
974
975#define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep)
976#define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm)
977
978static void mpmul_pydealloc(PyObject *me)
979{
980 if (MPMUL_LIVEP(me))
981 mp_drop(mpmul_done(MPMUL_PY(me)));
982 FREEOBJ(me);
983}
984
985static PyObject *mmmeth_factor(PyObject *me, PyObject *arg)
d7ab1bab 986{
d7ab1bab 987 PyObject *q, *i;
988 mp *x;
989
32507e35
MW		 990 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
991 if (PyTuple_Size(arg) != 1)
d7ab1bab 992 i = PyObject_GetIter(arg);
32507e35
MW		 993 else {
994 if ((q = PyTuple_GetItem(arg, 0)) == 0) goto end;
d7ab1bab 995 if ((i = PyObject_GetIter(q)) == 0) {
996 PyErr_Clear(); /* that's ok */
997 i = PyObject_GetIter(arg);
998 }
999 }
32507e35 1000 if (!i) goto end;
d7ab1bab 1001 while ((q = PyIter_Next(i)) != 0) {
1002 x = getmp(q); Py_DECREF(q); if (!x) {
d7ab1bab 1003 Py_DECREF(i);
32507e35 1004 goto end;
d7ab1bab 1005 }
32507e35 1006 mpmul_add(MPMUL_PY(me), x);
d7ab1bab 1007 MP_DROP(x);
1008 }
d7ab1bab 1009 Py_DECREF(i);
32507e35
MW		 1010 RETURN_ME;
1011end:
1012 return (0);
1013}
1014
1015static PyObject *mmmeth_done(PyObject *me, PyObject *arg)
1016{
1017 mp *x;
1018
1019 if (!PyArg_ParseTuple(arg, ":done")) goto end;
1020 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
1021 x = mpmul_done(MPMUL_PY(me));
1022 MPMUL_LIVEP(me) = 0;
d7ab1bab 1023 return (mp_pywrap(x));
32507e35
MW		 1024end:
1025 return (0);
d7ab1bab 1026}
1027
32507e35
MW		 1028static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1029{
1030 mpmul_pyobj *mm;
1031
1032 if (kw) TYERR("keyword arguments not allowed here");
1033 mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0);
1034 mpmul_init(&mm->mm);
1035 mm->livep = 1;
1036 if (mmmeth_factor((PyObject *)mm, arg) == 0) {
1037 Py_DECREF(mm);
1038 goto end;
d7ab1bab 1039 }
32507e35
MW		 1040 return ((PyObject *)mm);
1041end:
1042 return (0);
1043}
1044
1045static PyObject *mmget_livep(PyObject *me, void *hunoz)
1046 { return (getbool(MPMUL_LIVEP(me))); }
1047
1048static PyGetSetDef mpmul_pygetset[] = {
1049#define GETSETNAME(op, name) mm##op##_##name
1050 GET (livep, "MM.livep -> flag: object still valid?")
1051#undef GETSETNAME
1052 { 0 }
1053};
1054
1055static PyMethodDef mpmul_pymethods[] = {
1056#define METHNAME(name) mmmeth_##name
1057 METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)")
1058 METH (done, "MM.done() -> PRODUCT")
1059#undef METHNAME
1060 { 0 }
1061};
1062
1063static PyTypeObject *mpmul_pytype, mpmul_pytype_skel = {
1064 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1065 "MPMul", /* @tp_name@ */
32507e35
MW		 1066 sizeof(mpmul_pyobj), /* @tp_basicsize@ */
1067 0, /* @tp_itemsize@ */
1068
1069 mpmul_pydealloc, /* @tp_dealloc@ */
1070 0, /* @tp_print@ */
1071 0, /* @tp_getattr@ */
1072 0, /* @tp_setattr@ */
1073 0, /* @tp_compare@ */
1074 0, /* @tp_repr@ */
1075 0, /* @tp_as_number@ */
1076 0, /* @tp_as_sequence@ */
1077 0, /* @tp_as_mapping@ */
1078 0, /* @tp_hash@ */
1079 0, /* @tp_call@ */
1080 0, /* @tp_str@ */
1081 0, /* @tp_getattro@ */
1082 0, /* @tp_setattro@ */
1083 0, /* @tp_as_buffer@ */
1084 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1085 Py_TPFLAGS_BASETYPE,
1086
1087 /* @tp_doc@ */
1088"An object for multiplying many small integers.",
1089
1090 0, /* @tp_traverse@ */
1091 0, /* @tp_clear@ */
1092 0, /* @tp_richcompare@ */
1093 0, /* @tp_weaklistoffset@ */
1094 0, /* @tp_iter@ */
1095 0, /* @tp_iternext@ */
1096 mpmul_pymethods, /* @tp_methods@ */
1097 0, /* @tp_members@ */
1098 mpmul_pygetset, /* @tp_getset@ */
1099 0, /* @tp_base@ */
1100 0, /* @tp_dict@ */
1101 0, /* @tp_descr_get@ */
1102 0, /* @tp_descr_set@ */
1103 0, /* @tp_dictoffset@ */
1104 0, /* @tp_init@ */
1105 PyType_GenericAlloc, /* @tp_alloc@ */
1106 mpmul_pynew, /* @tp_new@ */
1107 0, /* @tp_free@ */
1108 0 /* @tp_is_gc@ */
1109};
d7ab1bab 1110
1111/*----- Montgomery reduction ----------------------------------------------*/
1112
1113typedef struct mpmont_pyobj {
1114 PyObject_HEAD
1115 mpmont mm;
1116} mpmont_pyobj;
1117
1118#define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm)
1119
1120static PyObject *mmmeth_int(PyObject *me, PyObject *arg)
1121{
1122 PyObject *z = 0;
1123 mp *yy = 0;
1124 mpmont *mm = MPMONT_PY(me);
1125
1126 if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy))
1127 goto end;
1128 mp_div(0, &yy, yy, mm->m);
1129 z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2));
1130end:
1131 if (yy) MP_DROP(yy);
1132 return (z);
1133}
1134
1135static PyObject *mmmeth_mul(PyObject *me, PyObject *arg)
1136{
1137 PyObject *rc = 0;
1138 mp *yy = 0, *zz = 0;
1139
1140 if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz))
1141 goto end;
1142 rc = mp_pywrap(mpmont_mul(MPMONT_PY(me), MP_NEW, yy, zz));
1143end:
1144 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1145 return (rc);
1146}
1147
1148static PyObject *mmmeth_exp(PyObject *me, PyObject *arg)
1149{
1150 PyObject *rc = 0;
1151 mp *yy = 0, *zz = 0;
1152
1153 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1154 goto end;
1155 if (MP_NEGP(zz)) {
1156 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1157 zz = mp_neg(zz, zz);
1158 }
1159 rc = mp_pywrap(mpmont_exp(MPMONT_PY(me), MP_NEW, yy, zz));
1160end:
1161 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1162 return (rc);
1163}
1164
1165static PyObject *mmmeth_expr(PyObject *me, PyObject *arg)
1166{
1167 PyObject *rc = 0;
1168 mp *yy = 0, *zz = 0;
1169
1170 if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz))
1171 goto end;
1172 if (MP_NEGP(zz)) {
1173 yy = mpmont_reduce(MPMONT_PY(me), yy, yy);
1174 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1175 yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2);
1176 zz = mp_neg(zz, zz);
1177 }
1178 rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz));
1179end:
1180 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1181 return (rc);
1182}
1183
1184static PyObject *mm_mexpr_id(PyObject *me)
1185 { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); }
1186
1187static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1188{
1189 mp *xx = 0, *yy = 0;
1190 mp_expfactor *f = p;
1191 mpmont *mm = MPMONT_PY(me);
1192
1193 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1194 goto fail;
1195 if (MP_NEGP(yy)) {
1196 xx = mpmont_reduce(mm, xx, xx);
1197 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1198 goto fail;
1199 xx = mpmont_mul(mm, xx, xx, mm->r2);
1200 yy = mp_neg(yy, yy);
1201 }
1202 f->base = xx;
1203 f->exp = yy;
1204 return (0);
1205
1206fail:
1207 mp_drop(xx); mp_drop(yy);
1208 return (-1);
1209}
1210
1211static PyObject *mm_mexpr(PyObject *me, void *v, int n)
1212 { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1213
d7ab1bab 1214static void mp_mexp_drop(void *p)
1215{
1216 mp_expfactor *f = p;
1217 mp_drop(f->base);
1218 mp_drop(f->exp);
1219}
1220
1221static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg)
1222{
1223 return mexp_common(me, arg, sizeof(mp_expfactor),
1224 mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop);
1225}
1226
1227static PyObject *mp_mexp_id(PyObject *me)
1228 { return mp_pywrap(MP_ONE); }
1229
1230static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1231{
1232 mp *xx = 0, *yy = 0;
1233 mp_expfactor *f = p;
1234
1235 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1236 goto fail;
1237 if (MP_NEGP(yy)) {
1238 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1239 goto fail;
1240 yy = mp_neg(yy, yy);
1241 }
1242 f->base = xx;
1243 f->exp = yy;
1244 return (0);
1245
1246fail:
1247 mp_drop(xx); mp_drop(yy);
1248 return (-1);
1249}
1250
1251static PyObject *mm_mexp(PyObject *me, void *v, int n)
1252 { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1253
d7ab1bab 1254static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg)
1255{
1256 return mexp_common(me, arg, sizeof(mp_expfactor),
1257 mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop);
1258}
1259
1260#define mmmeth_ext mmmeth_reduce
1261static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg)
1262{
1263 PyObject *z = 0;
1264 mp *yy = 0;
1265
1266 if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end;
1267 z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy));
1268end:
1269 return (z);
1270}
1271
1272static void mpmont_pydealloc(PyObject *me)
1273{
1274 mpmont_destroy(MPMONT_PY(me));
3aa33042 1275 FREEOBJ(me);
d7ab1bab 1276}
1277
1278static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1279{
1280 mpmont_pyobj *mm = 0;
1281 char *kwlist[] = { "m", 0 };
1282 mp *xx = 0;
1283
1284 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1285 goto end;
1286 if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd");
1287 mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0);
1288 mpmont_create(&mm->mm, xx);
1289end:
1290 if (xx) MP_DROP(xx);
1291 return ((PyObject *)mm);
1292}
1293
1294static PyObject *mmget_m(PyObject *me, void *hunoz)
1295 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); }
1296
1297static PyObject *mmget_r(PyObject *me, void *hunoz)
1298 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); }
1299
1300static PyObject *mmget_r2(PyObject *me, void *hunoz)
1301 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); }
1302
1303static PyGetSetDef mpmont_pygetset[] = {
1304#define GETSETNAME(op, name) mm##op##_##name
1305 GET (m, "M.m -> modulus for reduction")
1306 GET (r, "M.r -> multiplicative identity")
1307 GET (r2, "M.r2 -> M.r^2, Montgomerization factor")
1308#undef GETSETNAME
1309 { 0 }
1310};
1311
1312static PyMethodDef mpmont_pymethods[] = {
1313#define METHNAME(name) mmmeth_##name
5ec4e0d8 1314 METH (int, "M.int(X) -> XR")
d7ab1bab 1315 METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y")
1316 METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m")
1317 METH (mexpr, "\
5ec4e0d8 1318M.mexpr([(XR0, N0), (XR1, N1), ...]) = ZR where Z = X0^N0 X1^N1 ... mod M.m\n\
d7ab1bab 1319\t(the list may be flattened if this more convenient.)")
1320 METH (reduce, "M.reduce(XR) -> X")
1321 METH (ext, "M.ext(XR) -> X")
1322 METH (exp, "M.exp(X, N) -> X^N mod M.m")
1323 METH (mexp, "\
5ec4e0d8 1324M.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 ... mod M.m\n\
d7ab1bab 1325\t(the list may be flattened if this more convenient.)")
1326#undef METHNAME
1327 { 0 }
1328};
1329
1330static PyTypeObject *mpmont_pytype, mpmont_pytype_skel = {
6d4db0bf 1331 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1332 "MPMont", /* @tp_name@ */
d7ab1bab 1333 sizeof(mpmont_pyobj), /* @tp_basicsize@ */
1334 0, /* @tp_itemsize@ */
1335
1336 mpmont_pydealloc, /* @tp_dealloc@ */
1337 0, /* @tp_print@ */
1338 0, /* @tp_getattr@ */
1339 0, /* @tp_setattr@ */
1340 0, /* @tp_compare@ */
1341 0, /* @tp_repr@ */
1342 0, /* @tp_as_number@ */
1343 0, /* @tp_as_sequence@ */
1344 0, /* @tp_as_mapping@ */
1345 0, /* @tp_hash@ */
1346 0, /* @tp_call@ */
1347 0, /* @tp_str@ */
1348 0, /* @tp_getattro@ */
1349 0, /* @tp_setattro@ */
1350 0, /* @tp_as_buffer@ */
1351 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1352 Py_TPFLAGS_BASETYPE,
1353
1354 /* @tp_doc@ */
1355"A Montgomery reduction context.",
1356
1357 0, /* @tp_traverse@ */
1358 0, /* @tp_clear@ */
1359 0, /* @tp_richcompare@ */
1360 0, /* @tp_weaklistoffset@ */
1361 0, /* @tp_iter@ */
963a6148 1362 0, /* @tp_iternext@ */
d7ab1bab 1363 mpmont_pymethods, /* @tp_methods@ */
1364 0, /* @tp_members@ */
1365 mpmont_pygetset, /* @tp_getset@ */
1366 0, /* @tp_base@ */
1367 0, /* @tp_dict@ */
1368 0, /* @tp_descr_get@ */
1369 0, /* @tp_descr_set@ */
1370 0, /* @tp_dictoffset@ */
1371 0, /* @tp_init@ */
1372 PyType_GenericAlloc, /* @tp_alloc@ */
1373 mpmont_pynew, /* @tp_new@ */
3aa33042 1374 0, /* @tp_free@ */
d7ab1bab 1375 0 /* @tp_is_gc@ */
1376};
1377
1378/*----- Barrett reduction -------------------------------------------------*/
1379
1380typedef struct mpbarrett_pyobj {
1381 PyObject_HEAD
1382 mpbarrett mb;
1383} mpbarrett_pyobj;
1384
1385#define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb)
1386
1387static PyObject *mbmeth_exp(PyObject *me, PyObject *arg)
1388{
1389 PyObject *rc = 0;
1390 mp *yy = 0, *zz = 0;
1391
1392 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1393 goto end;
1394 if (MP_NEGP(zz)) {
1395 if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end;
1396 zz = mp_neg(zz, zz);
1397 }
1398 rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz));
1399end:
1400 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1401 return (rc);
1402}
1403
1404static PyObject *mb_mexp(PyObject *me, void *v, int n)
1405 { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); }
b2687a0a 1406
d7ab1bab 1407static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg)
1408{
1409 return mexp_common(me, arg, sizeof(mp_expfactor),
1410 mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop);
1411}
1412
1413static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg)
1414{
1415 PyObject *z = 0;
1416 mp *yy = 0;
1417
1418 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy))
1419 goto end;
1420 z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy));
1421end:
1422 return (z);
1423}
1424
1425static void mpbarrett_pydealloc(PyObject *me)
1426{
1427 mpbarrett_destroy(MPBARRETT_PY(me));
3aa33042 1428 FREEOBJ(me);
d7ab1bab 1429}
1430
1431static PyObject *mpbarrett_pynew(PyTypeObject *ty,
1432 PyObject *arg, PyObject *kw)
1433{
1434 mpbarrett_pyobj *mb = 0;
1435 char *kwlist[] = { "m", 0 };
1436 mp *xx = 0;
1437
1438 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1439 goto end;
1440 if (!MP_POSP(xx)) VALERR("m must be positive");
1441 mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0);
1442 mpbarrett_create(&mb->mb, xx);
1443end:
1444 if (xx) MP_DROP(xx);
1445 return ((PyObject *)mb);
1446}
1447
1448static PyObject *mbget_m(PyObject *me, void *hunoz)
1449 { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); }
1450
1451static PyGetSetDef mpbarrett_pygetset[] = {
1452#define GETSETNAME(op, name) mb##op##_##name
1453 GET (m, "B.m -> modulus for reduction")
1454#undef GETSETNAME
1455 { 0 }
1456};
1457
1458static PyMethodDef mpbarrett_pymethods[] = {
1459#define METHNAME(name) mbmeth_##name
1460 METH (reduce, "B.reduce(X) -> X mod B.m")
1461 METH (exp, "B.exp(X, N) -> X^N mod B.m")
1462 METH (mexp, "\
5ec4e0d8 1463B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 ... mod B.m\n\
d7ab1bab 1464\t(the list may be flattened if this more convenient.)")
1465#undef METHNAME
1466 { 0 }
1467};
1468
1469static PyTypeObject *mpbarrett_pytype, mpbarrett_pytype_skel = {
6d4db0bf 1470 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1471 "MPBarrett", /* @tp_name@ */
d7ab1bab 1472 sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */
1473 0, /* @tp_itemsize@ */
1474
1475 mpbarrett_pydealloc, /* @tp_dealloc@ */
1476 0, /* @tp_print@ */
1477 0, /* @tp_getattr@ */
1478 0, /* @tp_setattr@ */
1479 0, /* @tp_compare@ */
1480 0, /* @tp_repr@ */
1481 0, /* @tp_as_number@ */
1482 0, /* @tp_as_sequence@ */
1483 0, /* @tp_as_mapping@ */
1484 0, /* @tp_hash@ */
1485 0, /* @tp_call@ */
1486 0, /* @tp_str@ */
1487 0, /* @tp_getattro@ */
1488 0, /* @tp_setattro@ */
1489 0, /* @tp_as_buffer@ */
1490 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1491 Py_TPFLAGS_BASETYPE,
1492
1493 /* @tp_doc@ */
1494"A Barrett reduction context.",
1495
1496 0, /* @tp_traverse@ */
1497 0, /* @tp_clear@ */
1498 0, /* @tp_richcompare@ */
1499 0, /* @tp_weaklistoffset@ */
1500 0, /* @tp_iter@ */
963a6148 1501 0, /* @tp_iternext@ */
d7ab1bab 1502 mpbarrett_pymethods, /* @tp_methods@ */
1503 0, /* @tp_members@ */
1504 mpbarrett_pygetset, /* @tp_getset@ */
1505 0, /* @tp_base@ */
1506 0, /* @tp_dict@ */
1507 0, /* @tp_descr_get@ */
1508 0, /* @tp_descr_set@ */
1509 0, /* @tp_dictoffset@ */
1510 0, /* @tp_init@ */
1511 PyType_GenericAlloc, /* @tp_alloc@ */
1512 mpbarrett_pynew, /* @tp_new@ */
3aa33042 1513 0, /* @tp_free@ */
d7ab1bab 1514 0 /* @tp_is_gc@ */
1515};
1516
1517/*----- Nice prime reduction ----------------------------------------------*/
1518
1519typedef struct mpreduce_pyobj {
1520 PyObject_HEAD
1521 mpreduce mr;
1522} mpreduce_pyobj;
1523
1524#define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr)
1525
1526static PyObject *mrmeth_exp(PyObject *me, PyObject *arg)
1527{
1528 PyObject *rc = 0;
1529 mp *yy = 0, *zz = 0;
1530
1531 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1532 goto end;
1533 if (MP_NEGP(zz)) {
1534 if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end;
1535 zz = mp_neg(zz, zz);
1536 }
1537 rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz));
1538end:
1539 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1540 return (rc);
1541}
1542
1543static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg)
1544{
1545 PyObject *z = 0;
1546 mp *yy = 0;
1547
1548 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end;
1549 z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy));
1550end:
1551 return (z);
1552}
1553
1554static void mpreduce_pydealloc(PyObject *me)
1555{
1556 mpreduce_destroy(MPREDUCE_PY(me));
3aa33042 1557 FREEOBJ(me);
d7ab1bab 1558}
1559
1560static PyObject *mpreduce_pynew(PyTypeObject *ty,
1561 PyObject *arg, PyObject *kw)
1562{
1563 mpreduce_pyobj *mr = 0;
1564 mpreduce r;
1565 char *kwlist[] = { "m", 0 };
1566 mp *xx = 0;
1567
1568 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1569 goto end;
1570 if (!MP_POSP(xx)) VALERR("m must be positive");
1571 if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)");
1572 mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0);
1573 mr->mr = r;
1574end:
1575 if (xx) MP_DROP(xx);
1576 return ((PyObject *)mr);
1577}
1578
1579static PyObject *mrget_m(PyObject *me, void *hunoz)
1580 { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); }
1581
1582static PyGetSetDef mpreduce_pygetset[] = {
1583#define GETSETNAME(op, name) mr##op##_##name
1584 GET (m, "R.m -> modulus for reduction")
1585#undef GETSETNAME
1586 { 0 }
1587};
1588
1589static PyMethodDef mpreduce_pymethods[] = {
1590#define METHNAME(name) mrmeth_##name
1591 METH (reduce, "R.reduce(X) -> X mod B.m")
1592 METH (exp, "R.exp(X, N) -> X^N mod B.m")
1593#undef METHNAME
1594 { 0 }
1595};
1596
1597static PyTypeObject *mpreduce_pytype, mpreduce_pytype_skel = {
6d4db0bf 1598 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1599 "MPReduce", /* @tp_name@ */
d7ab1bab 1600 sizeof(mpreduce_pyobj), /* @tp_basicsize@ */
1601 0, /* @tp_itemsize@ */
1602
1603 mpreduce_pydealloc, /* @tp_dealloc@ */
1604 0, /* @tp_print@ */
1605 0, /* @tp_getattr@ */
1606 0, /* @tp_setattr@ */
1607 0, /* @tp_compare@ */
1608 0, /* @tp_repr@ */
1609 0, /* @tp_as_number@ */
1610 0, /* @tp_as_sequence@ */
1611 0, /* @tp_as_mapping@ */
1612 0, /* @tp_hash@ */
1613 0, /* @tp_call@ */
1614 0, /* @tp_str@ */
1615 0, /* @tp_getattro@ */
1616 0, /* @tp_setattro@ */
1617 0, /* @tp_as_buffer@ */
1618 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1619 Py_TPFLAGS_BASETYPE,
1620
1621 /* @tp_doc@ */
1622"A reduction context for reduction modulo primes of special form.",
1623
1624 0, /* @tp_traverse@ */
1625 0, /* @tp_clear@ */
1626 0, /* @tp_richcompare@ */
1627 0, /* @tp_weaklistoffset@ */
1628 0, /* @tp_iter@ */
963a6148 1629 0, /* @tp_iternext@ */
d7ab1bab 1630 mpreduce_pymethods, /* @tp_methods@ */
1631 0, /* @tp_members@ */
1632 mpreduce_pygetset, /* @tp_getset@ */
1633 0, /* @tp_base@ */
1634 0, /* @tp_dict@ */
1635 0, /* @tp_descr_get@ */
1636 0, /* @tp_descr_set@ */
1637 0, /* @tp_dictoffset@ */
1638 0, /* @tp_init@ */
1639 PyType_GenericAlloc, /* @tp_alloc@ */
1640 mpreduce_pynew, /* @tp_new@ */
3aa33042 1641 0, /* @tp_free@ */
d7ab1bab 1642 0 /* @tp_is_gc@ */
1643};
1644
1645/*----- Chinese Remainder Theorem solution --------------------------------*/
1646
1647typedef struct mpcrt_pyobj {
1648 PyObject_HEAD
1649 mpcrt c;
1650} mpcrt_pyobj;
1651
1652#define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c)
1653
1654static PyObject *mcmeth_solve(PyObject *me, PyObject *arg)
1655{
1656 mpcrt *c = MPCRT_PY(me);
1657 PyObject *q = 0, *x, *z = 0;
1658 mp *xx;
1659 mp **v = 0;
1660 int i = 0, n = c->k;
1661
1662 Py_INCREF(me);
1663 if (PyTuple_Size(arg) == n)
1664 q = arg;
1665 else if (!PyArg_ParseTuple(arg, "O:solve", &q))
1666 goto end;
1667 Py_INCREF(q);
1668 if (!PySequence_Check(q)) TYERR("want a sequence of residues");
1669 if (PySequence_Size(q) != n) VALERR("residue count mismatch");
1670 v = xmalloc(n * sizeof(*v));
1671 for (i = 0; i < n; i++) {
1672 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1673 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1674 v[i] = xx;
1675 }
1676 z = mp_pywrap(mpcrt_solve(c, MP_NEW, v));
1677end:
1678 if (v) {
1679 n = i;
1680 for (i = 0; i < n; i++)
1681 MP_DROP(v[i]);
1682 xfree(v);
1683 }
1684 Py_DECREF(me);
1685 Py_XDECREF(q);
1686 return (z);
1687}
1688
1689static void mpcrt_pydealloc(PyObject *me)
1690{
1691 mpcrt *c = MPCRT_PY(me);
1692 mpcrt_destroy(c);
1693 xfree(c->v);
1694}
1695
1696static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1697{
1698 mpcrt_mod *v = 0;
1699 int n, i = 0;
1700 char *kwlist[] = { "mv", 0 };
1701 PyObject *q = 0, *x;
1702 mp *xx;
1703 mpcrt_pyobj *c = 0;
1704
1705 if (PyTuple_Size(arg) > 1)
1706 q = arg;
1707 else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", kwlist, &q))
1708 goto end;
1709 Py_INCREF(q);
1710 if (!PySequence_Check(q)) TYERR("want a sequence of moduli");
1711 n = PySequence_Size(q);
1712 if (PyErr_Occurred()) goto end;
1713 if (!n) VALERR("want at least one modulus");
1714 v = xmalloc(n * sizeof(*v));
1715 for (i = 0; i < n; i++) {
1716 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1717 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1718 v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0;
1719 }
1720 c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0);
1721 mpcrt_create(&c->c, v, n, 0);
1722 Py_DECREF(q);
1723 return ((PyObject *)c);
1724
1725end:
1726 if (v) {
1727 n = i;
1728 for (i = 0; i < n; i++)
1729 MP_DROP(v[i].m);
1730 xfree(v);
1731 }
1732 Py_XDECREF(q);
1733 return (0);
1734}
1735
1736static PyObject *mcget_product(PyObject *me, void *hunoz)
1737 { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); }
1738
1739static PyObject *mcget_moduli(PyObject *me, void *hunoz)
1740{
1741 int i;
1742 PyObject *q;
1743 mpcrt *c = MPCRT_PY(me);
1744
1745 if ((q = PyList_New(c->k)) == 0) return (0);
1746 for (i = 0; i < c->k; i++)
1747 PyList_SetItem(q, i, mp_pywrap(c->v[i].m));
1748 return (q);
1749}
1750
1751static PyGetSetDef mpcrt_pygetset[] = {
1752#define GETSETNAME(op, name) mc##op##_##name
1753 GET (product, "C.product -> product of moduli")
1754 GET (moduli, "C.moduli -> list of individual moduli")
1755#undef GETSETNAME
1756 { 0 }
1757};
1758
1759static PyMethodDef mpcrt_pymethods[] = {
1760#define METHNAME(name) mcmeth_##name
1761 METH (solve, "C.solve([R0, R1]) -> X mod C.product")
1762#undef METHNAME
1763 { 0 }
1764};
1765
1766static PyTypeObject *mpcrt_pytype, mpcrt_pytype_skel = {
6d4db0bf 1767 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1768 "MPCRT", /* @tp_name@ */
d7ab1bab 1769 sizeof(mpcrt_pyobj), /* @tp_basicsize@ */
1770 0, /* @tp_itemsize@ */
1771
1772 mpcrt_pydealloc, /* @tp_dealloc@ */
1773 0, /* @tp_print@ */
1774 0, /* @tp_getattr@ */
1775 0, /* @tp_setattr@ */
1776 0, /* @tp_compare@ */
1777 0, /* @tp_repr@ */
1778 0, /* @tp_as_number@ */
1779 0, /* @tp_as_sequence@ */
1780 0, /* @tp_as_mapping@ */
1781 0, /* @tp_hash@ */
1782 0, /* @tp_call@ */
1783 0, /* @tp_str@ */
1784 0, /* @tp_getattro@ */
1785 0, /* @tp_setattro@ */
1786 0, /* @tp_as_buffer@ */
1787 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1788 Py_TPFLAGS_BASETYPE,
1789
1790 /* @tp_doc@ */
1791"A context for the solution of Chinese Remainder Theorem problems.",
1792
1793 0, /* @tp_traverse@ */
1794 0, /* @tp_clear@ */
1795 0, /* @tp_richcompare@ */
1796 0, /* @tp_weaklistoffset@ */
1797 0, /* @tp_iter@ */
963a6148 1798 0, /* @tp_iternext@ */
d7ab1bab 1799 mpcrt_pymethods, /* @tp_methods@ */
1800 0, /* @tp_members@ */
1801 mpcrt_pygetset, /* @tp_getset@ */
1802 0, /* @tp_base@ */
1803 0, /* @tp_dict@ */
1804 0, /* @tp_descr_get@ */
1805 0, /* @tp_descr_set@ */
1806 0, /* @tp_dictoffset@ */
1807 0, /* @tp_init@ */
1808 PyType_GenericAlloc, /* @tp_alloc@ */
1809 mpcrt_pynew, /* @tp_new@ */
3aa33042 1810 0, /* @tp_free@ */
d7ab1bab 1811 0 /* @tp_is_gc@ */
1812};
1813
1814/*----- Binary polynomials ------------------------------------------------*/
1815
1816static PyObject *gf_pyrepr(PyObject *o)
1817 { return mp_topystring(MP_X(o), 16, "GF(", "0x", "L)"); }
1818
1819static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op)
1820{
1821 mp *xx, *yy;
1822 int xl, yl;
1823 int b;
1824
bf8910bd 1825 if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL;
d7ab1bab 1826 switch (op) {
1827 case Py_EQ: b = MP_EQ(xx, yy); break;
1828 case Py_NE: b = !MP_EQ(xx, yy); break;
1829 default:
1830 xl = mp_bits(xx);
1831 yl = mp_bits(yy);
1832 switch (op) {
1833 case Py_LT: b = xl < yl; break;
1834 case Py_LE: b = xl <= yl; break;
1835 case Py_GT: b = xl > yl; break;
1836 case Py_GE: b = xl >= yl; break;
1837 default: abort();
1838 }
1839 break;
1840 }
1841 MP_DROP(xx); MP_DROP(yy);
1842 return (getbool(b));
1843}
1844
1845static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1846{
1847 PyObject *x;
1848 mp *z;
1849 mp_pyobj *zz = 0;
1850 int radix = 0;
1851 char *kwlist[] = { "x", "radix", 0 };
1852
1853 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", kwlist, &x, &radix))
1854 goto end;
1855 if (GF_PYCHECK(x)) RETURN_OBJ(x);
f368b46e 1856 if (!good_radix_p(radix, 1)) VALERR("radix out of range");
d7ab1bab 1857 if ((z = mp_frompyobject(x, radix)) == 0) {
1858 PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf",
1859 x->ob_type->tp_name);
1860 goto end;
1861 }
1862 if (MP_NEGP(z)) {
1863 MP_DROP(z);
1864 VALERR("gf cannot be negative");
1865 }
1866 zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
1867 zz->x = z;
1868end:
1869 return ((PyObject *)zz);
1870}
1871
1872static long gf_pyhash(PyObject *me)
1873{
1874 long i = mp_tolong(MP_X(me));
1875 i ^= 0xc7ecd67c; /* random perturbance */
1876 if (i == -1)
1877 i = -2;
1878 return (i);
1879}
1880
1881static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z)
1882{
1883 mp *xx = 0, *yy = 0, *zz = 0;
1884 mp *r = 0;
1885 PyObject *rc = 0;
1886
1887 if ((xx = tomp(x)) == 0 || (yy = tomp(y)) == 0 ||
1888 (z && z != Py_None && (zz = tomp(z)) == 0)) {
1889 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1890 RETURN_NOTIMPL;
1891 }
1892 if (!z || z == Py_None) {
1893 if (MP_NEGP(yy)) VALERR("negative exponent");
1894 r = gf_exp(MP_NEW, xx, yy);
1895 } else {
1896 gfreduce gr;
1897 if (MP_ZEROP(zz)) ZDIVERR("zero modulus");
1898 if (MP_NEGP(yy)) {
1899 if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end;
1900 yy = mp_neg(yy, yy);
1901 }
1902 gfreduce_create(&gr, zz);
1903 r = gfreduce_exp(&gr, MP_NEW, xx, yy);
1904 gfreduce_destroy(&gr);
1905 }
1906 rc = gf_pywrap(r);
1907end:
1908 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1909 return (rc);
1910}
1911
1912static PyObject *gfmeth_sqr(PyObject *me, PyObject *arg)
1913{
1914 if (!PyArg_ParseTuple(arg, ":sqr")) return (0);
1915 return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me))));
1916}
1917
1918static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg)
1919{
1920 PyObject *z = 0;
1921 mp *yy = 0, *zz = MP_NEW;
1922
1923 if (!PyArg_ParseTuple(arg, "O&:gcd", convgf, &yy)) goto end;
1924 gf_gcd(&zz, 0, 0, MP_X(me), yy);
1925 z = gf_pywrap(zz);
1926end:
1927 if (yy) MP_DROP(yy);
1928 return (z);
1929}
1930
1931static PyObject *gfmeth_gcdx(PyObject *me, PyObject *arg)
1932{
1933 PyObject *z = 0;
1934 mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW;
1935
1936 if (!PyArg_ParseTuple(arg, "O&:gcdx", convgf, &yy))
1937 goto end;
1938 gf_gcd(&zz, &uu, &vv, MP_X(me), yy);
1939 z = Py_BuildValue("(NNN)",
1940 gf_pywrap(zz), gf_pywrap(uu), gf_pywrap(vv));
1941end:
1942 if (yy) MP_DROP(yy);
1943 return (z);
1944}
1945
1946static PyObject *gfmeth_modinv(PyObject *me, PyObject *arg)
1947{
1948 PyObject *z = 0;
1949 mp *yy = 0, *zz = MP_NEW;
1950
1951 if (!PyArg_ParseTuple(arg, "O&:modinv", convgf, &yy) ||
1952 (zz = gf_modinv_checked(MP_NEW, yy, MP_X(me))) == 0)
1953 goto end;
1954 z = gf_pywrap(zz);
1955end:
1956 if (yy) MP_DROP(yy);
1957 return (z);
1958}
1959
1960static PyObject *gfmeth_irreduciblep(PyObject *me, PyObject *arg)
1961{
1962 if (!PyArg_ParseTuple(arg, ":irreduciblep")) return (0);
1963 return getbool(gf_irreduciblep(MP_X(me)));
1964}
1965
1966static PyObject *gfget_degree(PyObject *me, void *hunoz)
1967 { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); }
1968
1969static PyGetSetDef gf_pygetset[] = {
1970#define GETSETNAME(op, name) gf##op##_##name
1971 GET (degree, "X.degree -> polynomial degree of X")
1972#undef GETSETNAME
1973#define GETSETNAME(op, name) mp##op##_##name
1974 GET (nbits, "X.nbits -> bit length of X")
1975 GET (noctets, "X.noctets -> octet length of X")
1976#undef GETSETNAME
1977 { 0 }
1978};
1979
1980static PyMethodDef gf_pymethods[] = {
1981#define METHNAME(func) gfmeth_##func
1982 METH (setbit, "X.setbit(N) -> X with bit N set")
1983 METH (clearbit, "X.clearbit(N) -> X with bit N clear")
1984 METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
1985 METH (sqr, "X.sqr() -> X^2")
1986 METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
1987 METH (gcdx,
1988 "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
1989 METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
b2687a0a 1990 METH (irreduciblep, "X.irreduciblep() -> true/false")
d7ab1bab 1991#undef METHNAME
1992#define METHNAME(func) mpmeth_##func
1993 KWMETH(tostring, "X.tostring(radix = 10) -> STR")
1994 KWMETH(storel, "X.storel(len = -1) -> little-endian bytes")
1995 KWMETH(storeb, "X.storeb(len = -1) -> big-endian bytes")
1996 KWMETH(storel2c,
1997 "X.storel2c(len = -1) -> little-endian bytes, two's complement")
1998 KWMETH(storeb2c,
1999 "X.storeb2c(len = -1) -> big-endian bytes, two's complement")
2000 METH (tobuf, "X.tobuf() -> buffer format")
2001#undef METHNAME
2002 { 0 }
2003};
2004
2005static PyNumberMethods gf_pynumber = {
2006 gf_pyadd, /* @nb_add@ */
2007 gf_pysub, /* @nb_subtract@ */
2008 gf_pymul, /* @nb_multiply@ */
2009 0, /* @nb_divide@ */
2010 gf_pymod, /* @nb_remainder@ */
2011 gf_pydivmod, /* @nb_divmod@ */
2012 gf_pyexp, /* @nb_power@ */
2013 mp_pyid, /* @nb_negative@ */
2014 mp_pyid, /* @nb_positive@ */
2015 mp_pyid, /* @nb_absolute@ */
2016 mp_pynonzerop, /* @nb_nonzero@ */
2017 0 /* doesn't make any sense */, /* @nb_invert@ */
2018 gf_pylsl, /* @nb_lshift@ */
2019 gf_pylsr, /* @nb_rshift@ */
2020 gf_pyand, /* @nb_and@ */
2021 gf_pyxor, /* @nb_xor@ */
2022 gf_pyor, /* @nb_or@ */
2023 gf_pycoerce, /* @nb_coerce@ */
2024 mp_pyint, /* @nb_int@ */
2025 mp_pylong, /* @nb_long@ */
2026 0 /* doesn't make any sense */, /* @nb_float@ */
2027 mp_pyoct, /* @nb_oct@ */
2028 mp_pyhex, /* @nb_hex@ */
2029
2030 0, /* @nb_inplace_add@ */
2031 0, /* @nb_inplace_subtract@ */
2032 0, /* @nb_inplace_multiply@ */
2033 0, /* @nb_inplace_divide@ */
2034 0, /* @nb_inplace_remainder@ */
2035 0, /* @nb_inplace_power@ */
2036 0, /* @nb_inplace_lshift@ */
2037 0, /* @nb_inplace_rshift@ */
2038 0, /* @nb_inplace_and@ */
2039 0, /* @nb_inplace_xor@ */
2040 0, /* @nb_inplace_or@ */
2041
2042 gf_pydiv, /* @nb_floor_divide@ */
2043 0, /* @nb_true_divide@ */
2044 0, /* @nb_inplace_floor_divide@ */
2045 0, /* @nb_inplace_true_divide@ */
2046};
2047
2048static PyTypeObject gf_pytype_skel = {
6d4db0bf 2049 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 2050 "GF", /* @tp_name@ */
d7ab1bab 2051 sizeof(mp_pyobj), /* @tp_basicsize@ */
2052 0, /* @tp_itemsize@ */
2053
2054 mp_pydealloc, /* @tp_dealloc@ */
2055 0, /* @tp_print@ */
2056 0, /* @tp_getattr@ */
2057 0, /* @tp_setattr@ */
2058 0, /* @tp_compare@ */
2059 gf_pyrepr, /* @tp_repr@ */
2060 &gf_pynumber, /* @tp_as_number@ */
2061 0, /* @tp_as_sequence@ */
2062 0, /* @tp_as_mapping@ */
2063 gf_pyhash, /* @tp_hash@ */
2064 0, /* @tp_call@ */
2065 mp_pyhex, /* @tp_str@ */
2066 0, /* @tp_getattro@ */
2067 0, /* @tp_setattro@ */
2068 0, /* @tp_as_buffer@ */
2069 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2070 Py_TPFLAGS_CHECKTYPES |
2071 Py_TPFLAGS_BASETYPE,
2072
2073 /* @tp_doc@ */
2074"Binary polynomials. Support almost all the standard arithmetic\n\
2075operations.\n\
2076\n\
2077Constructor gf(X, radix = R) attempts to convert X to a `gf'. If\n\
2078X is a string, it's read in radix-R form, or we look for a prefix\n\
2079if R = 0. Other acceptable things are ints and longs.\n\
2080\n\
2081The name is hopelessly wrong from a technical point of view, but\n\
2082but it's much easier to type than `p2' or `c2' or whatever.\n\
2083\n\
2084Notes:\n\
2085\n\
2086 * Use `//' for division. GFs don't have `/' division.",
2087
2088 0, /* @tp_traverse@ */
2089 0, /* @tp_clear@ */
2090 gf_pyrichcompare, /* @tp_richcompare@ */
2091 0, /* @tp_weaklistoffset@ */
2092 0, /* @tp_iter@ */
963a6148 2093 0, /* @tp_iternext@ */
d7ab1bab 2094 gf_pymethods, /* @tp_methods@ */
2095 0, /* @tp_members@ */
2096 gf_pygetset, /* @tp_getset@ */
2097 0, /* @tp_base@ */
2098 0, /* @tp_dict@ */
2099 0, /* @tp_descr_get@ */
2100 0, /* @tp_descr_set@ */
2101 0, /* @tp_dictoffset@ */
2102 0, /* @tp_init@ */
2103 PyType_GenericAlloc, /* @tp_alloc@ */
2104 gf_pynew, /* @tp_new@ */
3aa33042 2105 0, /* @tp_free@ */
d7ab1bab 2106 0 /* @tp_is_gc@ */
2107};
2108
2109static PyObject *meth__GF_fromstring(PyObject *me,
2110 PyObject *arg, PyObject *kw)
2111{
2112 int r = 0;
2113 char *p;
2114 int len;
2115 PyObject *z = 0;
2116 mp *zz;
2117 mptext_stringctx sc;
2118 char *kwlist[] = { "class", "x", "radix", 0 };
2119
2120 if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring",
2121 kwlist, &me, &p, &len, &r))
2122 goto end;
4b3890c7 2123 if (!good_radix_p(r, 1)) VALERR("bad radix");
d7ab1bab 2124 sc.buf = p; sc.lim = p + len;
4b3890c7
MW		 2125 if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 ||
2126 MP_NEGP(zz)) {
2127 if (zz) MP_DROP(zz);
80f7cd89 2128 VALERR("bad binary polynomial");
4b3890c7
MW		 2129 }
2130 z = Py_BuildValue("(Ns#)", gf_pywrap(zz), sc.buf, (int)(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