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*.c: Use Python's facilities for defining class and static methods.
[catacomb-python] / mp.c
CommitLineData
d7ab1bab 1/* -*-c-*-
2 *
d7ab1bab 3 * Multiprecision arithmetic
4 *
5 * (c) 2004 Straylight/Edgeware
6 */
7
b2687a0a 8/*----- Licensing notice --------------------------------------------------*
d7ab1bab 9 *
10 * This file is part of the Python interface to Catacomb.
11 *
12 * Catacomb/Python is free software; you can redistribute it and/or modify
13 * it under the terms of the GNU General Public License as published by
14 * the Free Software Foundation; either version 2 of the License, or
15 * (at your option) any later version.
b2687a0a 16 *
d7ab1bab 17 * Catacomb/Python is distributed in the hope that it will be useful,
18 * but WITHOUT ANY WARRANTY; without even the implied warranty of
19 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
20 * GNU General Public License for more details.
b2687a0a 21 *
d7ab1bab 22 * You should have received a copy of the GNU General Public License
23 * along with Catacomb/Python; if not, write to the Free Software Foundation,
24 * Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
25 */
26
27/*----- Header files ------------------------------------------------------*/
28
29#include "catacomb-python.h"
30
31/*----- General utilities -------------------------------------------------*/
32
33PyTypeObject *mp_pytype = 0;
34PyTypeObject *gf_pytype = 0;
35
f368b46e 36mp *mp_frompylong(PyObject *obj)
d7ab1bab 37{
38 unsigned long bits;
f368b46e 39 PyLongObject *l = (PyLongObject *)obj;
d7ab1bab 40 int sz;
41 size_t w;
42 mpd r = 0;
43 int b = 0;
44 int i;
45 mp *x;
46 mpw *p;
47
48 sz = l->ob_size;
49 if (sz < 0) sz = -sz;
50 assert(MPW_BITS >= SHIFT);
51 bits = (unsigned long)sz * SHIFT;
52 w = (bits + MPW_BITS - 1)/MPW_BITS;
53 x = mp_new(w, l->ob_size < 0 ? MP_NEG : 0);
54 p = x->v;
55 for (i = 0; i < sz; i++) {
56 r |= (mpd)l->ob_digit[i] << b;
57 b += SHIFT;
58 while (b >= MPW_BITS) {
59 *p++ = MPW(r);
60 r >>= MPW_BITS;
61 b -= MPW_BITS;
62 }
63 }
64 while (r) {
65 *p++ = MPW(r);
66 r >>= MPW_BITS;
67 }
68 x->vl = p;
69 MP_SHRINK(x);
70 return (x);
71}
72
f368b46e 73PyObject *mp_topylong(mp *x)
d7ab1bab 74{
75 unsigned long bits = mp_bits(x);
76 int sz = (bits + SHIFT - 1)/SHIFT;
77 PyLongObject *l = _PyLong_New(sz);
78 mpd r = 0;
79 int b = 0;
80 mpw *p = x->v;
81 int i = 0;
82
83 assert(MPW_BITS >= SHIFT);
84 while (i < sz && p < x->vl) {
f368b46e 85 r |= (mpd)*p++ << b;
d7ab1bab 86 b += MPW_BITS;
87 while (i < sz && b >= SHIFT) {
88 l->ob_digit[i++] = r & MASK;
89 r >>= SHIFT;
90 b -= SHIFT;
91 }
92 }
93 while (i < sz && r) {
94 l->ob_digit[i++] = r & MASK;
95 r >>= SHIFT;
96 }
97 l->ob_size = (x->f & MP_NEG) ? -sz : sz;
f368b46e 98 return ((PyObject *)l);
d7ab1bab 99}
100
101mp *mp_frompyobject(PyObject *o, int radix)
102{
103 mp *x;
104
d7ab1bab 105 if (PyString_Check(o)) {
106 mptext_stringctx sc;
107 mp *x;
108 sc.buf = PyString_AS_STRING(o);
109 sc.lim = sc.buf + PyString_GET_SIZE(o);
110 x = mp_read(MP_NEW, radix, &mptext_stringops, &sc);
111 if (!x) return (0);
112 if (sc.buf < sc.lim) { MP_DROP(x); return (0); }
113 return (x);
114 }
f368b46e
MW		 115 if ((x = tomp(o)) != 0)
116 return (x);
d7ab1bab 117 return (0);
118}
119
120PyObject *mp_topystring(mp *x, int radix, const char *xpre,
121 const char *pre, const char *post)
122{
123 int len = mptext_len(x, radix) + 1;
124 mptext_stringctx sc;
125 PyObject *o;
126 size_t xprelen = xpre ? strlen(xpre) : 0;
127 size_t prelen = pre ? strlen(pre) : 0;
128 size_t postlen = post ? strlen(post) : 0;
129 char *p;
130 MP_COPY(x);
131 o = PyString_FromStringAndSize(0, len + 1 + xprelen + prelen + postlen);
132 p = PyString_AS_STRING(o);
133 sc.buf = p;
134 if (xpre) { memcpy(sc.buf, xpre, xprelen); sc.buf += xprelen; }
135 if (MP_NEGP(x)) { *sc.buf++ = '-'; x = mp_neg(x, x); }
136 if (pre) { memcpy(sc.buf, pre, prelen); sc.buf += prelen; }
137 sc.lim = sc.buf + len;
138 mp_write(x, radix, &mptext_stringops, &sc);
139 if (post) { memcpy(sc.buf, post, postlen); sc.buf += postlen; }
140 MP_DROP(x);
141 _PyString_Resize(&o, sc.buf - p);
142 return (o);
143}
144
f368b46e
MW		 145static int good_radix_p(int r, int readp)
146{
147 return ((r >= -255 && r <= -2) ||
148 (readp && r == 0) ||
149 (r >= 2 && r <= 62));
150}
151
d7ab1bab 152PyObject *mp_pywrap(mp *x)
153{
154 mp_pyobj *z = PyObject_New(mp_pyobj, mp_pytype);
155 z->x = x;
156 return ((PyObject *)z);
157}
158
159PyObject *gf_pywrap(mp *x)
160{
161 mp_pyobj *z = PyObject_New(mp_pyobj, gf_pytype);
162 z->x = x;
163 return ((PyObject *)z);
164}
165
bc243788 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 }
bc243788
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;
46c13d77 214 if (EC_ATINF(ECPT_P(o))) return (0);
d7ab1bab 215 getecptout(&p, o);
216 x = MP_COPY(p.x);
217 EC_DESTROY(&p);
218 return (x);
219 } else if (GE_PYCHECK(o)) {
220 if ((x = G_TOINT(GE_G(o), MP_NEW, GE_X(o))) == 0)
221 return (0);
222 return (x);
223 } else if (PyInt_Check(o))
224 return (mp_fromlong(MP_NEW, PyInt_AS_LONG(o)));
225 else if ((l = PyNumber_Long(o)) != 0) {
f368b46e 226 x = mp_frompylong(l);
d7ab1bab 227 Py_DECREF(l);
228 return (x);
229 } else {
230 PyErr_Clear();
231 return (0);
232 }
233}
234
235mp *getmp(PyObject *o)
236{
237 mp *x = 0;
238 if (!o) return (0);
239 if ((x = tomp(o)) == 0) {
240 PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp",
241 o->ob_type->tp_name);
242 }
243 return (x);
244}
245
246int convmp(PyObject *o, void *p)
247{
248 mp *x;
249 if ((x = getmp(o)) == 0) return (0);
250 *(mp **)p = x;
251 return (1);
252}
253
254mp *getgf(PyObject *o)
255{
256 mp *x = 0;
257 if (!o) return (0);
258 if ((x = tomp(o)) == 0) {
259 PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf",
260 o->ob_type->tp_name);
261 }
262 return (x);
263}
264
265int convgf(PyObject *o, void *p)
266{
267 mp *x;
268 if ((x = getgf(o)) == 0) return (0);
269 *(mp **)p = x;
270 return (1);
271}
272
bf8910bd
MW		 273static mp *implicitmp(PyObject *o)
274{
275 if (!o ||
276 GF_PYCHECK(o) ||
277 ECPT_PYCHECK(o) ||
278 FE_PYCHECK(o) ||
279 GE_PYCHECK(o))
280 return (0);
281 return (tomp(o));
282}
283
284static mp *implicitgf(PyObject *o)
285{
286 if (!o ||
287 MP_PYCHECK(o) ||
288 ECPT_PYCHECK(o) ||
289 FE_PYCHECK(o) ||
290 GE_PYCHECK(o))
291 return (0);
292 return (tomp(o));
293}
294
d7ab1bab 295static int mpbinop(PyObject *x, PyObject *y, mp **xx, mp **yy)
296{
bf8910bd
MW		 297 if ((*xx = implicitmp(x)) == 0)
298 return (-1);
299 if ((*yy = implicitmp(y)) == 0) {
300 MP_DROP(*xx);
301 return (-1);
302 }
303 return (0);
304}
305
306static int gfbinop(PyObject *x, PyObject *y, mp **xx, mp **yy)
307{
308 if ((*xx = implicitgf(x)) == 0)
d7ab1bab 309 return (-1);
bf8910bd 310 if ((*yy = implicitgf(y)) == 0) {
d7ab1bab 311 MP_DROP(*xx);
312 return (-1);
313 }
314 return (0);
315}
316
317#define gf_and mp_and
318#define gf_or mp_or
319#define gf_xor mp_xor
320#define BINOP(pre, name) \
321 static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \
322 mp *xx, *yy, *zz; \
bf8910bd 323 if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
d7ab1bab 324 zz = pre##_##name(MP_NEW, xx, yy); \
325 MP_DROP(xx); MP_DROP(yy); \
326 return (pre##_pywrap(zz)); \
327 }
328BINOP(mp, add)
329BINOP(mp, sub)
330BINOP(mp, mul)
331BINOP(mp, and2c)
332BINOP(mp, or2c)
333BINOP(mp, xor2c)
334BINOP(gf, add)
335BINOP(gf, sub)
336BINOP(gf, mul)
337BINOP(gf, and)
338BINOP(gf, or)
339BINOP(gf, xor)
340#undef BINOP
341
342static mp *mp_abs(mp *d, mp *x)
343{
344 if (MP_NEGP(x))
345 return (mp_neg(d, x));
346 MP_COPY(x);
347 if (d) MP_DROP(d);
348 return (x);
349}
350
351#define UNOP(pre, name) \
352 static PyObject *pre##_py##name(PyObject *x) \
353 { return mp_pywrap(pre##_##name(MP_NEW, MP_X(x))); }
354UNOP(mp, neg)
355UNOP(mp, abs)
356UNOP(mp, not2c)
357#undef UNOP
358
359static PyObject *mp_pyid(PyObject *x) { RETURN_OBJ(x); }
360
361#define gf_lsr mp_lsr
362#define SHIFTOP(pre, name, rname) \
363 static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \
364 mp *xx, *yy; \
365 PyObject *z = 0; \
366 long n; \
bf8910bd 367 if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
bc243788 368 if (mp_tolong_checked(yy, &n, 1)) goto end; \
d7ab1bab 369 if (n < 0) \
370 z = pre##_pywrap(mp_##rname(MP_NEW, xx, -n)); \
371 else \
372 z = pre##_pywrap(mp_##name(MP_NEW, xx, n)); \
373 end: \
374 MP_DROP(xx); MP_DROP(yy); \
375 return (z); \
376 }
377SHIFTOP(mp, lsl2c, lsr2c)
378SHIFTOP(mp, lsr2c, lsl2c)
379SHIFTOP(gf, lsl, lsr)
380SHIFTOP(gf, lsr, lsl)
381#undef SHIFTOP
382
383#define DIVOP(pre, name, qq, rr, gather) \
384 static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \
385 mp *xx, *yy; \
386 PyObject *z = 0; \
387 INIT_##qq(q) INIT_##rr(r) \
bf8910bd 388 if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
d7ab1bab 389 if (MP_ZEROP(yy)) \
390 ZDIVERR("division by zero"); \
391 pre##_div(ARG_##qq(q), ARG_##rr(r), xx, yy); \
392 z = gather; \
393 end: \
394 MP_DROP(xx); MP_DROP(yy); \
395 return (z); \
396 }
397#define INIT_YES(p) mp *p = MP_NEW;
398#define INIT_NO(p)
399#define ARG_YES(p) &p
400#define ARG_NO(p) 0
401DIVOP(mp, divmod, YES, YES,
402 Py_BuildValue("(NN)", mp_pywrap(q), mp_pywrap(r)))
403DIVOP(mp, div, YES, NO, mp_pywrap(q))
404DIVOP(mp, mod, NO, YES, mp_pywrap(r))
405DIVOP(gf, divmod, YES, YES,
406 Py_BuildValue("(NN)", gf_pywrap(q), gf_pywrap(r)))
407DIVOP(gf, div, YES, NO, gf_pywrap(q))
408DIVOP(gf, mod, NO, YES, gf_pywrap(r))
409#undef INIT_YES
410#undef INIT_NO
411#undef ARG_YES
412#undef ARG_NO
413#undef DIVOP
414
415static mp *mp_modinv_checked(mp *d, mp *x, mp *p)
416{
417 mp *g = MP_NEW;
418 mp_gcd(&g, 0, &d, p, x);
419 if (!MP_EQ(g, MP_ONE)) {
420 MP_DROP(g); MP_DROP(d);
421 PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse");
422 return (0);
423 }
424 MP_DROP(g); return (d);
425}
426
427static PyObject *mp_pyexp(PyObject *x, PyObject *y, PyObject *z)
428{
429 mp *xx = 0, *yy = 0, *zz = 0;
430 mp *r = 0;
431 PyObject *rc = 0;
432
bf8910bd 433 if ((xx = implicitmp(x)) == 0 || (yy = implicitmp(y)) == 0 ||
d7ab1bab 434 (z && z != Py_None && (zz = tomp(z)) == 0)) {
435 mp_drop(xx); mp_drop(yy); mp_drop(zz);
436 RETURN_NOTIMPL;
437 }
438 if (!z || z == Py_None) {
439 if (MP_NEGP(yy)) VALERR("negative exponent");
440 r = mp_exp(MP_NEW, xx, yy);
441 } else {
442 if (!MP_POSP(zz)) VALERR("modulus must be positive");
443 if (MP_NEGP(yy)) {
444 if ((xx = mp_modinv_checked(xx, xx, zz)) == 0) goto end;
445 yy = mp_neg(yy, yy);
446 }
447 if (MP_ODDP(zz)) {
448 mpmont mm;
449 mpmont_create(&mm, zz);
450 r = mpmont_exp(&mm, MP_NEW, xx, yy);
451 mpmont_destroy(&mm);
452 } else {
453 mpbarrett mb;
454 mpbarrett_create(&mb, zz);
455 r = mpbarrett_exp(&mb, MP_NEW, xx, yy);
456 mpbarrett_destroy(&mb);
457 }
458 }
459 rc = mp_pywrap(r);
460end:
461 mp_drop(xx); mp_drop(yy); mp_drop(zz);
462 return (rc);
463}
464
465static mp *gf_modinv_checked(mp *d, mp *x, mp *p)
466{
467 mp *g = MP_NEW;
468 gf_gcd(&g, 0, &d, p, x);
469 if (!MP_EQ(g, MP_ONE)) {
470 MP_DROP(g); MP_DROP(d);
471 PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse");
472 return (0);
473 }
474 MP_DROP(g); return (d);
475}
476
477#define BASEOP(name, radix, pre) \
478 static PyObject *mp_py##name(PyObject *x) \
479 { return mp_topystring(MP_X(x), radix, 0, pre, 0); }
480BASEOP(oct, 8, "0");
481BASEOP(hex, 16, "0x");
482#undef BASEOP
483
484static int mp_pynonzerop(PyObject *x) { return !MP_ZEROP(MP_X(x)); }
485
486static PyObject *mp_pyint(PyObject *x)
487{
488 long l;
bc243788
MW		 489 if (!mp_tolong_checked(MP_X(x), &l, 0)) return (PyInt_FromLong(l));
490 else return mp_topylong(MP_X(x));
d7ab1bab 491}
492static PyObject *mp_pylong(PyObject *x)
f368b46e 493 { return (mp_topylong(MP_X(x))); }
d7ab1bab 494static PyObject *mp_pyfloat(PyObject *x)
495{
f368b46e 496 PyObject *l = mp_topylong(MP_X(x));
d7ab1bab 497 double f = PyLong_AsDouble(l);
498 Py_DECREF(l);
499 return (PyFloat_FromDouble(f));
500}
501
b2687a0a 502#define COERCE(pre, PRE) \
d7ab1bab 503 static int pre##_pycoerce(PyObject **x, PyObject **y) \
504 { \
505 mp *z; \
506 \
507 if (PRE##_PYCHECK(*y)) { \
508 Py_INCREF(*x); Py_INCREF(*y); \
509 return (0); \
510 } \
511 if ((z = tomp(*y)) != 0) { \
512 Py_INCREF(*x); \
513 *y = pre##_pywrap(z); \
514 return (0); \
515 } \
516 return (1); \
517 }
518COERCE(mp, MP)
519COERCE(gf, GF)
520#undef COERCE
521
522static int mp_pycompare(PyObject *x, PyObject *y)
523 { return mp_cmp(MP_X(x), MP_X(y)); }
524
525static PyObject *mp_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
526{
527 PyObject *x;
528 mp *z;
529 mp_pyobj *zz = 0;
530 int radix = 0;
827f89d7 531 static const char *const kwlist[] = { "x", "radix", 0 };
d7ab1bab 532
827f89d7 533 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:new", KWLIST, &x, &radix))
d7ab1bab 534 goto end;
535 if (MP_PYCHECK(x)) RETURN_OBJ(x);
f368b46e 536 if (!good_radix_p(radix, 1)) VALERR("bad radix");
d7ab1bab 537 if ((z = mp_frompyobject(x, radix)) == 0) {
538 PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp",
539 x->ob_type->tp_name);
540 goto end;
541 }
542 zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
543 zz->x = z;
544end:
545 return ((PyObject *)zz);
546}
547
be6df1c3 548long mphash(mp *x)
d7ab1bab 549{
be6df1c3
MW		 550 PyObject *l = mp_topylong(x);
551 long h = PyObject_Hash(l);
f368b46e 552 Py_DECREF(l); return (h);
d7ab1bab 553}
554
be6df1c3
MW		 555static long mp_pyhash(PyObject *me) { return (mphash(MP_X(me))); }
556
d7ab1bab 557static PyObject *mpmeth_jacobi(PyObject *me, PyObject *arg)
558{
559 mp *y = 0;
560 PyObject *z = 0;
561
562 if (!PyArg_ParseTuple(arg, "O&:jacobi", convmp, &y)) goto end;
563 z = PyInt_FromLong(mp_jacobi(y, MP_X(me)));
564end:
565 if (y) MP_DROP(y);
566 return (z);
567}
568
569#define BITOP(pre, name, c) \
570 static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \
571 { \
a1be89ad
MW		 572 unsigned long i; \
573 if (!PyArg_ParseTuple(arg, "O&:" #name, convulong, &i)) return (0); \
d7ab1bab 574 return (pre##_pywrap(mp_##name##c(MP_NEW, MP_X(me), i))); \
575 }
576BITOP(mp, setbit, 2c);
577BITOP(mp, clearbit, 2c);
b2687a0a 578BITOP(gf, setbit, );
d7ab1bab 579BITOP(gf, clearbit, );
580#undef BITOP
581
582static PyObject *mpmeth_testbit(PyObject *me, PyObject *arg)
583{
a1be89ad
MW		 584 unsigned long i;
585 if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0);
d7ab1bab 586 return (getbool(mp_testbit2c(MP_X(me), i)));
587}
588
589static PyObject *gfmeth_testbit(PyObject *me, PyObject *arg)
590{
a1be89ad
MW		 591 unsigned long i;
592 if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0);
d7ab1bab 593 return (getbool(mp_testbit(MP_X(me), i)));
594}
595
596static PyObject *mpmeth_odd(PyObject *me, PyObject *arg)
597{
598 mp *t;
599 size_t s;
600
601 if (!PyArg_ParseTuple(arg, ":odd")) return (0);
602 t = mp_odd(MP_NEW, MP_X(me), &s);
603 return (Py_BuildValue("(lN)", (long)s, mp_pywrap(t)));
604}
605
606static PyObject *mpmeth_sqr(PyObject *me, PyObject *arg)
607{
608 if (!PyArg_ParseTuple(arg, ":sqr")) return (0);
609 return (mp_pywrap(mp_sqr(MP_NEW, MP_X(me))));
610}
611
612static PyObject *mpmeth_sqrt(PyObject *me, PyObject *arg)
613{
614 if (!PyArg_ParseTuple(arg, ":sqrt")) return (0);
615 if (MP_NEGP(MP_X(me))) VALERR("negative root");
616 return (mp_pywrap(mp_sqrt(MP_NEW, MP_X(me))));
617end:
618 return (0);
619}
620
621static PyObject *mpmeth_gcd(PyObject *me, PyObject *arg)
622{
623 mp *y = 0, *zz = MP_NEW;
624 PyObject *z = 0;
625
626 if (!PyArg_ParseTuple(arg, "O&:gcd", convmp, &y)) goto end;
627 mp_gcd(&zz, 0, 0, MP_X(me), y);
628 z = mp_pywrap(zz);
629end:
630 if (y) MP_DROP(y);
631 return (z);
632}
633
634static PyObject *mpmeth_gcdx(PyObject *me, PyObject *arg)
635{
636 PyObject *z = 0;
637 mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW;
638
639 if (!PyArg_ParseTuple(arg, "O&:gcdx", convmp, &yy)) goto end;
640 mp_gcd(&zz, &uu, &vv, MP_X(me), yy);
641 z = Py_BuildValue("(NNN)",
642 mp_pywrap(zz), mp_pywrap(uu), mp_pywrap(vv));
643end:
644 if (yy) MP_DROP(yy);
645 return (z);
646}
647
648static PyObject *mpmeth_modinv(PyObject *me, PyObject *arg)
649{
650 PyObject *z = 0;
651 mp *yy = 0, *zz = MP_NEW;
652
653 if (!PyArg_ParseTuple(arg, "O&:modinv", convmp, &yy) ||
654 (zz = mp_modinv_checked(MP_NEW, yy, MP_X(me))) == 0)
655 goto end;
656 z = mp_pywrap(zz);
657end:
658 if (yy) MP_DROP(yy);
659 return (z);
660}
661
662static PyObject *mpmeth_tostring(PyObject *me, PyObject *arg, PyObject *kw)
663{
664 int radix = 10;
827f89d7
MW		 665 static const char *const kwlist[] = { "radix", 0 };
666 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:tostring", KWLIST, &radix))
d7ab1bab 667 goto end;
f368b46e 668 if (!good_radix_p(radix, 0)) VALERR("bad radix");
d7ab1bab 669 return (mp_topystring(MP_X(me), radix, 0, 0, 0));
670end:
671 return (0);
672}
673
674static PyObject *mpmeth_modsqrt(PyObject *me, PyObject *arg)
675{
676 PyObject *z = 0;
677 mp *yy = 0, *zz = MP_NEW;
678
679 if (!PyArg_ParseTuple(arg, "O&:modsqrt", convmp, &yy)) goto end;
680 if ((zz = mp_modsqrt(MP_NEW, yy, MP_X(me))) == 0)
681 VALERR("no modular square root");
682 z = mp_pywrap(zz);
683end:
684 if (yy) MP_DROP(yy);
685 return (z);
686}
687
d0d94587
MW		 688static PyObject *mpmeth_leastcongruent(PyObject *me, PyObject *arg)
689{
690 mp *z, *b, *m;
691 PyObject *rc = 0;
692
693 if (!PyArg_ParseTuple(arg, "O&O&:leastcongruent", convmp, &b, convmp, &m))
694 goto end;
695 z = mp_leastcongruent(MP_NEW, b, MP_X(me), m);
696 rc = mp_pywrap(z);
697end:
698 return (rc);
699}
700
d7ab1bab 701#define STOREOP(name, c) \
702 static PyObject *mpmeth_##name(PyObject *me, \
703 PyObject *arg, PyObject *kw) \
704 { \
705 long len = -1; \
827f89d7 706 static const char *const kwlist[] = { "len", 0 }; \
d7ab1bab 707 PyObject *rc = 0; \
708 \
709 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|l:" #name, \
827f89d7 710 KWLIST, &len)) \
d7ab1bab 711 goto end; \
712 if (len < 0) { \
713 len = mp_octets##c(MP_X(me)); \
714 if (!len) len = 1; \
715 } \
716 rc = bytestring_pywrap(0, len); \
717 mp_##name(MP_X(me), PyString_AS_STRING(rc), len); \
718 end: \
719 return (rc); \
720 }
721STOREOP(storel, )
722STOREOP(storeb, )
723STOREOP(storel2c, 2c)
724STOREOP(storeb2c, 2c)
725#undef STOREOP
726
a157093f
MW		 727#define BUFOP(ty) \
728 static PyObject *ty##meth_frombuf(PyObject *me, PyObject *arg) \
d7ab1bab 729 { \
730 buf b; \
731 char *p; \
6b54260d 732 Py_ssize_t sz; \
d7ab1bab 733 PyObject *rc = 0; \
734 mp *x; \
735 \
a157093f 736 if (!PyArg_ParseTuple(arg, "s#:frombuf", &p, &sz)) goto end; \
d7ab1bab 737 buf_init(&b, p, sz); \
738 if ((x = buf_getmp(&b)) == 0) VALERR("malformed data"); \
739 rc = Py_BuildValue("(NN)", ty##_pywrap(x), \
740 bytestring_pywrapbuf(&b)); \
741 end: \
742 return (rc); \
743 }
a157093f
MW		 744BUFOP(mp)
745BUFOP(gf)
d7ab1bab 746#undef BUFOP
747
748static PyObject *mpmeth_tobuf(PyObject *me, PyObject *arg)
749{
750 buf b;
751 PyObject *rc;
752 mp *x;
753 size_t n;
754
755 if (!PyArg_ParseTuple(arg, ":tobuf")) return (0);
756 x = MP_X(me);
757 n = mp_octets(x) + 3;
758 rc = bytestring_pywrap(0, n);
759 buf_init(&b, PyString_AS_STRING(rc), n);
760 buf_putmp(&b, x);
761 assert(BOK(&b));
762 _PyString_Resize(&rc, BLEN(&b));
763 return (rc);
764}
765
766static PyObject *mpmeth_primep(PyObject *me, PyObject *arg, PyObject *kw)
767{
768 grand *r = &rand_global;
827f89d7 769 static const char *const kwlist[] = { "rng", 0 };
d7ab1bab 770 PyObject *rc = 0;
771
827f89d7 772 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&", KWLIST, convgrand, &r))
d7ab1bab 773 goto end;
774 rc = getbool(pgen_primep(MP_X(me), r));
775end:
776 return (rc);
777}
778
a157093f
MW		 779static PyObject *mpmeth_fromstring(PyObject *me,
780 PyObject *arg, PyObject *kw)
f281293c
MW		 781{
782 int r = 0;
783 char *p;
784 Py_ssize_t len;
785 PyObject *z = 0;
786 mp *zz;
787 mptext_stringctx sc;
a157093f 788 static const char *const kwlist[] = { "x", "radix", 0 };
f281293c 789
a157093f
MW		 790 if (!PyArg_ParseTupleAndKeywords(arg, kw, "s#|i:fromstring", KWLIST,
791 &p, &len, &r))
f281293c
MW		 792 goto end;
793 if (!good_radix_p(r, 1)) VALERR("bad radix");
794 sc.buf = p; sc.lim = p + len;
795 if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0)
796 VALERR("bad integer");
797 z = Py_BuildValue("(Ns#)", mp_pywrap(zz),
798 sc.buf, (Py_ssize_t)(sc.lim - sc.buf));
799end:
800 return (z);
801}
802
a157093f 803static PyObject *mpmeth_factorial(PyObject *me, PyObject *arg)
f281293c
MW		 804{
805 unsigned long i;
806 mp *x;
a157093f 807 if (!PyArg_ParseTuple(arg, "O&:factorial", convulong, &i)) return (0);
f281293c
MW		 808 x = mp_factorial(i);
809 return mp_pywrap(x);
810}
811
a157093f 812static PyObject *mpmeth_fibonacci(PyObject *me, PyObject *arg)
f281293c
MW		 813{
814 long i;
815 mp *x;
a157093f 816 if (!PyArg_ParseTuple(arg, "l:fibonacci", &i)) return (0);
f281293c
MW		 817 x = mp_fibonacci(i);
818 return mp_pywrap(x);
819}
820
a157093f
MW		 821#define LOADOP(pre, name) \
822 static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \
f281293c
MW		 823 { \
824 char *p; \
825 Py_ssize_t len; \
a157093f 826 if (!PyArg_ParseTuple(arg, "s#:" #name, &p, &len)) return (0); \
f281293c
MW		 827 return (pre##_pywrap(mp_##name(MP_NEW, p, len))); \
828 }
a157093f
MW		 829LOADOP(mp, loadl)
830LOADOP(mp, loadb)
831LOADOP(mp, loadl2c)
832LOADOP(mp, loadb2c)
833LOADOP(gf, loadl)
834LOADOP(gf, loadb)
f281293c
MW		 835#undef LOADOP
836
d7ab1bab 837static PyObject *mpget_nbits(PyObject *me, void *hunoz)
838 { return (PyInt_FromLong(mp_bits(MP_X(me)))); }
839
840static PyObject *mpget_noctets(PyObject *me, void *hunoz)
841 { return (PyInt_FromLong(mp_octets(MP_X(me)))); }
842
843static PyObject *mpget_noctets2c(PyObject *me, void *hunoz)
844 { return (PyInt_FromLong(mp_octets2c(MP_X(me)))); }
845
c90f712e 846static const PyGetSetDef mp_pygetset[] = {
d7ab1bab 847#define GETSETNAME(op, func) mp##op##_##func
848 GET (nbits, "X.nbits -> bit length of X")
849 GET (noctets, "X.noctets -> octet length of X")
850 GET (noctets2c, "X.noctets2c -> two's complement octet length of X")
851#undef GETSETNAME
852 { 0 }
853};
854
c90f712e 855static const PyMethodDef mp_pymethods[] = {
d7ab1bab 856#define METHNAME(func) mpmeth_##func
c3060669 857 METH (jacobi, "X.jacobi(Y) -> Jacobi symbol (Y|X) (NB inversion!)")
d7ab1bab 858 METH (setbit, "X.setbit(N) -> X with bit N set")
859 METH (clearbit, "X.clearbit(N) -> X with bit N clear")
860 METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
861 METH (odd, "X.odd() -> S, T where X = 2^S T with T odd")
862 METH (sqr, "X.sqr() -> X^2")
863 METH (sqrt, "X.sqrt() -> largest integer <= sqrt(X)")
864 METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
d96c882e
MW		 865 METH (gcdx, "X.gcdx(Y) -> (gcd(X, Y), U, V) "
866 "with X U + Y V = gcd(X, Y)")
d7ab1bab 867 METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
868 METH (modsqrt, "X.modsqrt(Y) -> square root of Y mod X, if X prime")
d96c882e
MW		 869 METH (leastcongruent, "X.leastcongruent(B, M) -> "
870 "smallest Z >= B with Z == X (mod M)")
9edc275a 871 KWMETH(primep, "X.primep([rng = rand]) -> X is prime?")
1df8d5fe
MW		 872 KWMETH(tostring, "X.tostring([radix = 10]) -> STR")
873 KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes")
874 KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes")
d96c882e
MW		 875 KWMETH(storel2c, "X.storel2c([len = -1]) -> "
876 "little-endian bytes, two's complement")
877 KWMETH(storeb2c, "X.storeb2c([len = -1]) -> "
878 "big-endian bytes, two's complement")
d7ab1bab 879 METH (tobuf, "X.tobuf() -> buffer format")
a157093f
MW		 880 KWSMTH(fromstring, "fromstring(STR, [radix = 0]) -> (X, REST)\n"
881 " Parse STR as a large integer, according to RADIX. If RADIX is\n"
882 " zero, read a prefix from STR to decide radix: allow `0b' for binary,\n"
883 " `0' or `0o' for octal, `0x' for hex, or `R_' for other radix R.")
884 SMTH (factorial, "factorial(I) -> I!: compute factorial")
885 SMTH (fibonacci, "fibonacci(I) -> F(I): compute Fibonacci number")
886 SMTH (loadl, "loadl(STR) -> X: read little-endian bytes")
887 SMTH (loadb, "loadb(STR) -> X: read big-endian bytes")
888 SMTH (loadl2c, "loadl2c(STR) -> X: "
889 "read little-endian bytes, two's complement")
890 SMTH (loadb2c, "loadb2c(STR) -> X: "
891 "read big-endian bytes, two's complement")
892 SMTH (frombuf, "frombuf(STR) -> (X, REST): read buffer format")
d7ab1bab 893#undef METHNAME
894 { 0 }
895};
896
c90f712e 897static const PyNumberMethods mp_pynumber = {
d7ab1bab 898 mp_pyadd, /* @nb_add@ */
899 mp_pysub, /* @nb_subtract@ */
900 mp_pymul, /* @nb_multiply@ */
901 0, /* @nb_divide@ */
902 mp_pymod, /* @nb_remainder@ */
903 mp_pydivmod, /* @nb_divmod@ */
904 mp_pyexp, /* @nb_power@ */
905 mp_pyneg, /* @nb_negative@ */
906 mp_pyid, /* @nb_positive@ */
907 mp_pyabs, /* @nb_absolute@ */
908 mp_pynonzerop, /* @nb_nonzero@ */
909 mp_pynot2c, /* @nb_invert@ */
910 mp_pylsl2c, /* @nb_lshift@ */
911 mp_pylsr2c, /* @nb_rshift@ */
912 mp_pyand2c, /* @nb_and@ */
913 mp_pyxor2c, /* @nb_xor@ */
914 mp_pyor2c, /* @nb_or@ */
915 mp_pycoerce, /* @nb_coerce@ */
916 mp_pyint, /* @nb_int@ */
917 mp_pylong, /* @nb_long@ */
918 mp_pyfloat, /* @nb_float@ */
919 mp_pyoct, /* @nb_oct@ */
920 mp_pyhex, /* @nb_hex@ */
921
922 0, /* @nb_inplace_add@ */
923 0, /* @nb_inplace_subtract@ */
924 0, /* @nb_inplace_multiply@ */
925 0, /* @nb_inplace_divide@ */
926 0, /* @nb_inplace_remainder@ */
927 0, /* @nb_inplace_power@ */
928 0, /* @nb_inplace_lshift@ */
929 0, /* @nb_inplace_rshift@ */
930 0, /* @nb_inplace_and@ */
931 0, /* @nb_inplace_xor@ */
932 0, /* @nb_inplace_or@ */
933
934 mp_pydiv, /* @nb_floor_divide@ */
935 0, /* @nb_true_divide@ */
936 0, /* @nb_inplace_floor_divide@ */
937 0, /* @nb_inplace_true_divide@ */
938};
939
940static PyTypeObject mp_pytype_skel = {
6d4db0bf 941 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 942 "MP", /* @tp_name@ */
d7ab1bab 943 sizeof(mp_pyobj), /* @tp_basicsize@ */
944 0, /* @tp_itemsize@ */
945
946 mp_pydealloc, /* @tp_dealloc@ */
947 0, /* @tp_print@ */
948 0, /* @tp_getattr@ */
949 0, /* @tp_setattr@ */
950 mp_pycompare, /* @tp_compare@ */
951 mp_pyrepr, /* @tp_repr@ */
c90f712e 952 PYNUMBER(mp), /* @tp_as_number@ */
d7ab1bab 953 0, /* @tp_as_sequence@ */
954 0, /* @tp_as_mapping@ */
955 mp_pyhash, /* @tp_hash@ */
956 0, /* @tp_call@ */
957 mp_pystr, /* @tp_str@ */
958 0, /* @tp_getattro@ */
959 0, /* @tp_setattro@ */
960 0, /* @tp_as_buffer@ */
961 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
962 Py_TPFLAGS_CHECKTYPES |
963 Py_TPFLAGS_BASETYPE,
964
965 /* @tp_doc@ */
d96c882e
MW		 966 "Multiprecision integers, similar to `long' but more efficient and\n"
967 "versatile. Support all the standard arithmetic operations, with\n"
968 "implicit conversions from `PrimeFilter', and other objects which\n"
969 "convert to `long'.\n"
970 "\n"
971 "Constructor MP(X, [radix = R]) attempts to convert X to an `MP'. If\n"
972 "X is a string, it's read in radix-R form, or we look for a prefix\n"
973 "if R = 0. Other acceptable things are field elements, elliptic curve\n"
974 "points, group elements, Python `int' and `long' objects, and anything\n"
975 "with an integer conversion.\n"
976 "\n"
977 "Notes:\n"
978 "\n"
979 " * Use `//' for integer division: `/' gives exact rational division.",
d7ab1bab 980
981 0, /* @tp_traverse@ */
982 0, /* @tp_clear@ */
983 0, /* @tp_richcompare@ */
984 0, /* @tp_weaklistoffset@ */
985 0, /* @tp_iter@ */
963a6148 986 0, /* @tp_iternext@ */
c90f712e 987 PYMETHODS(mp), /* @tp_methods@ */
d7ab1bab 988 0, /* @tp_members@ */
c90f712e 989 PYGETSET(mp), /* @tp_getset@ */
d7ab1bab 990 0, /* @tp_base@ */
991 0, /* @tp_dict@ */
992 0, /* @tp_descr_get@ */
993 0, /* @tp_descr_set@ */
994 0, /* @tp_dictoffset@ */
995 0, /* @tp_init@ */
996 PyType_GenericAlloc, /* @tp_alloc@ */
997 mp_pynew, /* @tp_new@ */
3aa33042 998 0, /* @tp_free@ */
d7ab1bab 999 0 /* @tp_is_gc@ */
1000};
1001
32507e35
MW		 1002/*----- Products of small integers ----------------------------------------*/
1003
1004typedef struct mpmul_pyobj {
1005 PyObject_HEAD
1006 int livep;
1007 mpmul mm;
1008} mpmul_pyobj;
1009
1010#define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep)
1011#define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm)
1012
1013static void mpmul_pydealloc(PyObject *me)
1014{
1015 if (MPMUL_LIVEP(me))
1016 mp_drop(mpmul_done(MPMUL_PY(me)));
1017 FREEOBJ(me);
1018}
1019
1020static PyObject *mmmeth_factor(PyObject *me, PyObject *arg)
d7ab1bab 1021{
d7ab1bab 1022 PyObject *q, *i;
1023 mp *x;
1024
32507e35 1025 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
c51a597d 1026 if (PyTuple_GET_SIZE(arg) != 1)
d7ab1bab 1027 i = PyObject_GetIter(arg);
32507e35 1028 else {
c51a597d 1029 if ((q = PyTuple_GET_ITEM(arg, 0)) == 0) goto end;
d7ab1bab 1030 if ((i = PyObject_GetIter(q)) == 0) {
1031 PyErr_Clear(); /* that's ok */
1032 i = PyObject_GetIter(arg);
1033 }
1034 }
32507e35 1035 if (!i) goto end;
d7ab1bab 1036 while ((q = PyIter_Next(i)) != 0) {
1037 x = getmp(q); Py_DECREF(q); if (!x) {
d7ab1bab 1038 Py_DECREF(i);
32507e35 1039 goto end;
d7ab1bab 1040 }
32507e35 1041 mpmul_add(MPMUL_PY(me), x);
d7ab1bab 1042 MP_DROP(x);
1043 }
d7ab1bab 1044 Py_DECREF(i);
32507e35
MW		 1045 RETURN_ME;
1046end:
1047 return (0);
1048}
1049
1050static PyObject *mmmeth_done(PyObject *me, PyObject *arg)
1051{
1052 mp *x;
1053
1054 if (!PyArg_ParseTuple(arg, ":done")) goto end;
1055 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
1056 x = mpmul_done(MPMUL_PY(me));
1057 MPMUL_LIVEP(me) = 0;
d7ab1bab 1058 return (mp_pywrap(x));
32507e35
MW		 1059end:
1060 return (0);
d7ab1bab 1061}
1062
32507e35
MW		 1063static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1064{
1065 mpmul_pyobj *mm;
1066
1067 if (kw) TYERR("keyword arguments not allowed here");
1068 mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0);
1069 mpmul_init(&mm->mm);
1070 mm->livep = 1;
1071 if (mmmeth_factor((PyObject *)mm, arg) == 0) {
1072 Py_DECREF(mm);
1073 goto end;
d7ab1bab 1074 }
32507e35
MW		 1075 return ((PyObject *)mm);
1076end:
1077 return (0);
1078}
1079
1080static PyObject *mmget_livep(PyObject *me, void *hunoz)
1081 { return (getbool(MPMUL_LIVEP(me))); }
1082
c90f712e 1083static const PyGetSetDef mpmul_pygetset[] = {
32507e35 1084#define GETSETNAME(op, name) mm##op##_##name
d96c882e 1085 GET (livep, "MM.livep -> flag: object still valid?")
32507e35
MW		 1086#undef GETSETNAME
1087 { 0 }
1088};
1089
c90f712e 1090static const PyMethodDef mpmul_pymethods[] = {
32507e35 1091#define METHNAME(name) mmmeth_##name
d96c882e
MW		 1092 METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)")
1093 METH (done, "MM.done() -> PRODUCT")
32507e35
MW		 1094#undef METHNAME
1095 { 0 }
1096};
1097
1098static PyTypeObject *mpmul_pytype, mpmul_pytype_skel = {
1099 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1100 "MPMul", /* @tp_name@ */
32507e35
MW		 1101 sizeof(mpmul_pyobj), /* @tp_basicsize@ */
1102 0, /* @tp_itemsize@ */
1103
1104 mpmul_pydealloc, /* @tp_dealloc@ */
1105 0, /* @tp_print@ */
1106 0, /* @tp_getattr@ */
1107 0, /* @tp_setattr@ */
1108 0, /* @tp_compare@ */
1109 0, /* @tp_repr@ */
1110 0, /* @tp_as_number@ */
1111 0, /* @tp_as_sequence@ */
1112 0, /* @tp_as_mapping@ */
1113 0, /* @tp_hash@ */
1114 0, /* @tp_call@ */
1115 0, /* @tp_str@ */
1116 0, /* @tp_getattro@ */
1117 0, /* @tp_setattro@ */
1118 0, /* @tp_as_buffer@ */
1119 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1120 Py_TPFLAGS_BASETYPE,
1121
1122 /* @tp_doc@ */
d96c882e 1123 "MPMul(N_0, N_1, ....): an object for multiplying many small integers.",
32507e35
MW		 1124
1125 0, /* @tp_traverse@ */
1126 0, /* @tp_clear@ */
1127 0, /* @tp_richcompare@ */
1128 0, /* @tp_weaklistoffset@ */
1129 0, /* @tp_iter@ */
1130 0, /* @tp_iternext@ */
c90f712e 1131 PYMETHODS(mpmul), /* @tp_methods@ */
32507e35 1132 0, /* @tp_members@ */
c90f712e 1133 PYGETSET(mpmul), /* @tp_getset@ */
32507e35
MW		 1134 0, /* @tp_base@ */
1135 0, /* @tp_dict@ */
1136 0, /* @tp_descr_get@ */
1137 0, /* @tp_descr_set@ */
1138 0, /* @tp_dictoffset@ */
1139 0, /* @tp_init@ */
1140 PyType_GenericAlloc, /* @tp_alloc@ */
1141 mpmul_pynew, /* @tp_new@ */
1142 0, /* @tp_free@ */
1143 0 /* @tp_is_gc@ */
1144};
d7ab1bab 1145
1146/*----- Montgomery reduction ----------------------------------------------*/
1147
1148typedef struct mpmont_pyobj {
1149 PyObject_HEAD
1150 mpmont mm;
1151} mpmont_pyobj;
1152
1153#define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm)
1154
1155static PyObject *mmmeth_int(PyObject *me, PyObject *arg)
1156{
1157 PyObject *z = 0;
1158 mp *yy = 0;
1159 mpmont *mm = MPMONT_PY(me);
1160
1161 if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy))
1162 goto end;
1163 mp_div(0, &yy, yy, mm->m);
1164 z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2));
1165end:
1166 if (yy) MP_DROP(yy);
1167 return (z);
1168}
1169
1170static PyObject *mmmeth_mul(PyObject *me, PyObject *arg)
1171{
1172 PyObject *rc = 0;
1173 mp *yy = 0, *zz = 0;
1174
1175 if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz))
1176 goto end;
1177 rc = mp_pywrap(mpmont_mul(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 *mmmeth_exp(PyObject *me, PyObject *arg)
1184{
1185 PyObject *rc = 0;
1186 mp *yy = 0, *zz = 0;
1187
1188 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1189 goto end;
1190 if (MP_NEGP(zz)) {
1191 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1192 zz = mp_neg(zz, zz);
1193 }
1194 rc = mp_pywrap(mpmont_exp(MPMONT_PY(me), MP_NEW, yy, zz));
1195end:
1196 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1197 return (rc);
1198}
1199
1200static PyObject *mmmeth_expr(PyObject *me, PyObject *arg)
1201{
1202 PyObject *rc = 0;
1203 mp *yy = 0, *zz = 0;
1204
1205 if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz))
1206 goto end;
1207 if (MP_NEGP(zz)) {
1208 yy = mpmont_reduce(MPMONT_PY(me), yy, yy);
1209 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1210 yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2);
1211 zz = mp_neg(zz, zz);
1212 }
1213 rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz));
1214end:
1215 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1216 return (rc);
1217}
1218
1219static PyObject *mm_mexpr_id(PyObject *me)
1220 { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); }
1221
1222static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1223{
1224 mp *xx = 0, *yy = 0;
1225 mp_expfactor *f = p;
1226 mpmont *mm = MPMONT_PY(me);
1227
1228 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1229 goto fail;
1230 if (MP_NEGP(yy)) {
1231 xx = mpmont_reduce(mm, xx, xx);
1232 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1233 goto fail;
1234 xx = mpmont_mul(mm, xx, xx, mm->r2);
1235 yy = mp_neg(yy, yy);
1236 }
1237 f->base = xx;
1238 f->exp = yy;
1239 return (0);
1240
1241fail:
1242 mp_drop(xx); mp_drop(yy);
1243 return (-1);
1244}
1245
1246static PyObject *mm_mexpr(PyObject *me, void *v, int n)
1247 { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1248
d7ab1bab 1249static void mp_mexp_drop(void *p)
1250{
1251 mp_expfactor *f = p;
1252 mp_drop(f->base);
1253 mp_drop(f->exp);
1254}
1255
1256static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg)
1257{
1258 return mexp_common(me, arg, sizeof(mp_expfactor),
1259 mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop);
1260}
1261
1262static PyObject *mp_mexp_id(PyObject *me)
1263 { return mp_pywrap(MP_ONE); }
1264
1265static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1266{
1267 mp *xx = 0, *yy = 0;
1268 mp_expfactor *f = p;
1269
1270 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1271 goto fail;
1272 if (MP_NEGP(yy)) {
1273 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1274 goto fail;
1275 yy = mp_neg(yy, yy);
1276 }
1277 f->base = xx;
1278 f->exp = yy;
1279 return (0);
1280
1281fail:
1282 mp_drop(xx); mp_drop(yy);
1283 return (-1);
1284}
1285
1286static PyObject *mm_mexp(PyObject *me, void *v, int n)
1287 { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1288
d7ab1bab 1289static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg)
1290{
1291 return mexp_common(me, arg, sizeof(mp_expfactor),
1292 mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop);
1293}
1294
1295#define mmmeth_ext mmmeth_reduce
1296static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg)
1297{
1298 PyObject *z = 0;
1299 mp *yy = 0;
1300
1301 if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end;
1302 z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy));
1303end:
1304 return (z);
1305}
1306
1307static void mpmont_pydealloc(PyObject *me)
1308{
1309 mpmont_destroy(MPMONT_PY(me));
3aa33042 1310 FREEOBJ(me);
d7ab1bab 1311}
1312
1313static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1314{
1315 mpmont_pyobj *mm = 0;
827f89d7 1316 static const char *const kwlist[] = { "m", 0 };
d7ab1bab 1317 mp *xx = 0;
1318
827f89d7 1319 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx))
d7ab1bab 1320 goto end;
1321 if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd");
1322 mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0);
1323 mpmont_create(&mm->mm, xx);
1324end:
1325 if (xx) MP_DROP(xx);
1326 return ((PyObject *)mm);
1327}
1328
1329static PyObject *mmget_m(PyObject *me, void *hunoz)
1330 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); }
1331
1332static PyObject *mmget_r(PyObject *me, void *hunoz)
1333 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); }
1334
1335static PyObject *mmget_r2(PyObject *me, void *hunoz)
1336 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); }
1337
c90f712e 1338static const PyGetSetDef mpmont_pygetset[] = {
d7ab1bab 1339#define GETSETNAME(op, name) mm##op##_##name
1340 GET (m, "M.m -> modulus for reduction")
1341 GET (r, "M.r -> multiplicative identity")
1342 GET (r2, "M.r2 -> M.r^2, Montgomerization factor")
1343#undef GETSETNAME
1344 { 0 }
1345};
1346
c90f712e 1347static const PyMethodDef mpmont_pymethods[] = {
d7ab1bab 1348#define METHNAME(name) mmmeth_##name
986bcc44 1349 METH (int, "M.int(X) -> XR")
d7ab1bab 1350 METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y")
1351 METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m")
d96c882e
MW		 1352 METH (mexpr, "M.mexpr([(XR0, N0), (XR1, N1), ...]) = ZR "
1353 "where Z = X0^N0 X1^N1 ... mod M.m\n"
1354 "\t(the list may be flattened if this more convenient.)")
d7ab1bab 1355 METH (reduce, "M.reduce(XR) -> X")
1356 METH (ext, "M.ext(XR) -> X")
1357 METH (exp, "M.exp(X, N) -> X^N mod M.m")
d96c882e
MW		 1358 METH (mexp, "M.mexp([(X0, N0), (X1, N1), ...]) = "
1359 "X0^N0 X1^N1 ... mod M.m\n"
1360 "\t(the list may be flattened if this more convenient.)")
d7ab1bab 1361#undef METHNAME
1362 { 0 }
1363};
1364
1365static PyTypeObject *mpmont_pytype, mpmont_pytype_skel = {
6d4db0bf 1366 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1367 "MPMont", /* @tp_name@ */
d7ab1bab 1368 sizeof(mpmont_pyobj), /* @tp_basicsize@ */
1369 0, /* @tp_itemsize@ */
1370
1371 mpmont_pydealloc, /* @tp_dealloc@ */
1372 0, /* @tp_print@ */
1373 0, /* @tp_getattr@ */
1374 0, /* @tp_setattr@ */
1375 0, /* @tp_compare@ */
1376 0, /* @tp_repr@ */
1377 0, /* @tp_as_number@ */
1378 0, /* @tp_as_sequence@ */
1379 0, /* @tp_as_mapping@ */
1380 0, /* @tp_hash@ */
1381 0, /* @tp_call@ */
1382 0, /* @tp_str@ */
1383 0, /* @tp_getattro@ */
1384 0, /* @tp_setattro@ */
1385 0, /* @tp_as_buffer@ */
1386 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1387 Py_TPFLAGS_BASETYPE,
1388
1389 /* @tp_doc@ */
d96c882e 1390 "MPMont(N): a Montgomery reduction context.",
d7ab1bab 1391
1392 0, /* @tp_traverse@ */
1393 0, /* @tp_clear@ */
1394 0, /* @tp_richcompare@ */
1395 0, /* @tp_weaklistoffset@ */
1396 0, /* @tp_iter@ */
963a6148 1397 0, /* @tp_iternext@ */
c90f712e 1398 PYMETHODS(mpmont), /* @tp_methods@ */
d7ab1bab 1399 0, /* @tp_members@ */
c90f712e 1400 PYGETSET(mpmont), /* @tp_getset@ */
d7ab1bab 1401 0, /* @tp_base@ */
1402 0, /* @tp_dict@ */
1403 0, /* @tp_descr_get@ */
1404 0, /* @tp_descr_set@ */
1405 0, /* @tp_dictoffset@ */
1406 0, /* @tp_init@ */
1407 PyType_GenericAlloc, /* @tp_alloc@ */
1408 mpmont_pynew, /* @tp_new@ */
3aa33042 1409 0, /* @tp_free@ */
d7ab1bab 1410 0 /* @tp_is_gc@ */
1411};
1412
1413/*----- Barrett reduction -------------------------------------------------*/
1414
1415typedef struct mpbarrett_pyobj {
1416 PyObject_HEAD
1417 mpbarrett mb;
1418} mpbarrett_pyobj;
1419
1420#define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb)
1421
1422static PyObject *mbmeth_exp(PyObject *me, PyObject *arg)
1423{
1424 PyObject *rc = 0;
1425 mp *yy = 0, *zz = 0;
1426
1427 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1428 goto end;
1429 if (MP_NEGP(zz)) {
1430 if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end;
1431 zz = mp_neg(zz, zz);
1432 }
1433 rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz));
1434end:
1435 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1436 return (rc);
1437}
1438
1439static PyObject *mb_mexp(PyObject *me, void *v, int n)
1440 { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); }
b2687a0a 1441
d7ab1bab 1442static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg)
1443{
1444 return mexp_common(me, arg, sizeof(mp_expfactor),
1445 mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop);
1446}
1447
1448static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg)
1449{
1450 PyObject *z = 0;
1451 mp *yy = 0;
1452
1453 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy))
1454 goto end;
1455 z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy));
1456end:
1457 return (z);
1458}
1459
1460static void mpbarrett_pydealloc(PyObject *me)
1461{
1462 mpbarrett_destroy(MPBARRETT_PY(me));
3aa33042 1463 FREEOBJ(me);
d7ab1bab 1464}
1465
1466static PyObject *mpbarrett_pynew(PyTypeObject *ty,
1467 PyObject *arg, PyObject *kw)
1468{
1469 mpbarrett_pyobj *mb = 0;
827f89d7 1470 static const char *const kwlist[] = { "m", 0 };
d7ab1bab 1471 mp *xx = 0;
1472
827f89d7 1473 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx))
d7ab1bab 1474 goto end;
1475 if (!MP_POSP(xx)) VALERR("m must be positive");
1476 mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0);
1477 mpbarrett_create(&mb->mb, xx);
1478end:
1479 if (xx) MP_DROP(xx);
1480 return ((PyObject *)mb);
1481}
1482
1483static PyObject *mbget_m(PyObject *me, void *hunoz)
1484 { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); }
1485
c90f712e 1486static const PyGetSetDef mpbarrett_pygetset[] = {
d7ab1bab 1487#define GETSETNAME(op, name) mb##op##_##name
1488 GET (m, "B.m -> modulus for reduction")
1489#undef GETSETNAME
1490 { 0 }
1491};
1492
c90f712e 1493static const PyMethodDef mpbarrett_pymethods[] = {
d7ab1bab 1494#define METHNAME(name) mbmeth_##name
1495 METH (reduce, "B.reduce(X) -> X mod B.m")
1496 METH (exp, "B.exp(X, N) -> X^N mod B.m")
d96c882e
MW		 1497 METH (mexp, "B.mexp([(X0, N0), (X1, N1), ...]) = "
1498 "X0^N0 X1^N1 ... mod B.m\n"
1499 "\t(the list may be flattened if this more convenient.)")
d7ab1bab 1500#undef METHNAME
1501 { 0 }
1502};
1503
1504static PyTypeObject *mpbarrett_pytype, mpbarrett_pytype_skel = {
6d4db0bf 1505 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1506 "MPBarrett", /* @tp_name@ */
d7ab1bab 1507 sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */
1508 0, /* @tp_itemsize@ */
1509
1510 mpbarrett_pydealloc, /* @tp_dealloc@ */
1511 0, /* @tp_print@ */
1512 0, /* @tp_getattr@ */
1513 0, /* @tp_setattr@ */
1514 0, /* @tp_compare@ */
1515 0, /* @tp_repr@ */
1516 0, /* @tp_as_number@ */
1517 0, /* @tp_as_sequence@ */
1518 0, /* @tp_as_mapping@ */
1519 0, /* @tp_hash@ */
1520 0, /* @tp_call@ */
1521 0, /* @tp_str@ */
1522 0, /* @tp_getattro@ */
1523 0, /* @tp_setattro@ */
1524 0, /* @tp_as_buffer@ */
1525 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1526 Py_TPFLAGS_BASETYPE,
1527
1528 /* @tp_doc@ */
d96c882e 1529 "MPBarrett(N): a Barrett reduction context.",
d7ab1bab 1530
1531 0, /* @tp_traverse@ */
1532 0, /* @tp_clear@ */
1533 0, /* @tp_richcompare@ */
1534 0, /* @tp_weaklistoffset@ */
1535 0, /* @tp_iter@ */
963a6148 1536 0, /* @tp_iternext@ */
c90f712e 1537 PYMETHODS(mpbarrett), /* @tp_methods@ */
d7ab1bab 1538 0, /* @tp_members@ */
c90f712e 1539 PYGETSET(mpbarrett), /* @tp_getset@ */
d7ab1bab 1540 0, /* @tp_base@ */
1541 0, /* @tp_dict@ */
1542 0, /* @tp_descr_get@ */
1543 0, /* @tp_descr_set@ */
1544 0, /* @tp_dictoffset@ */
1545 0, /* @tp_init@ */
1546 PyType_GenericAlloc, /* @tp_alloc@ */
1547 mpbarrett_pynew, /* @tp_new@ */
3aa33042 1548 0, /* @tp_free@ */
d7ab1bab 1549 0 /* @tp_is_gc@ */
1550};
1551
1552/*----- Nice prime reduction ----------------------------------------------*/
1553
1554typedef struct mpreduce_pyobj {
1555 PyObject_HEAD
1556 mpreduce mr;
1557} mpreduce_pyobj;
1558
1559#define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr)
1560
1561static PyObject *mrmeth_exp(PyObject *me, PyObject *arg)
1562{
1563 PyObject *rc = 0;
1564 mp *yy = 0, *zz = 0;
1565
1566 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1567 goto end;
1568 if (MP_NEGP(zz)) {
1569 if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end;
1570 zz = mp_neg(zz, zz);
1571 }
1572 rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz));
1573end:
1574 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1575 return (rc);
1576}
1577
1578static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg)
1579{
1580 PyObject *z = 0;
1581 mp *yy = 0;
1582
1583 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end;
1584 z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy));
1585end:
1586 return (z);
1587}
1588
1589static void mpreduce_pydealloc(PyObject *me)
1590{
1591 mpreduce_destroy(MPREDUCE_PY(me));
3aa33042 1592 FREEOBJ(me);
d7ab1bab 1593}
1594
1595static PyObject *mpreduce_pynew(PyTypeObject *ty,
1596 PyObject *arg, PyObject *kw)
1597{
1598 mpreduce_pyobj *mr = 0;
1599 mpreduce r;
827f89d7 1600 static const char *const kwlist[] = { "m", 0 };
d7ab1bab 1601 mp *xx = 0;
1602
827f89d7 1603 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx))
d7ab1bab 1604 goto end;
1605 if (!MP_POSP(xx)) VALERR("m must be positive");
1606 if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)");
1607 mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0);
1608 mr->mr = r;
1609end:
1610 if (xx) MP_DROP(xx);
1611 return ((PyObject *)mr);
1612}
1613
1614static PyObject *mrget_m(PyObject *me, void *hunoz)
1615 { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); }
1616
c90f712e 1617static const PyGetSetDef mpreduce_pygetset[] = {
d7ab1bab 1618#define GETSETNAME(op, name) mr##op##_##name
1619 GET (m, "R.m -> modulus for reduction")
1620#undef GETSETNAME
1621 { 0 }
1622};
1623
c90f712e 1624static const const PyMethodDef mpreduce_pymethods[] = {
d7ab1bab 1625#define METHNAME(name) mrmeth_##name
1626 METH (reduce, "R.reduce(X) -> X mod B.m")
1627 METH (exp, "R.exp(X, N) -> X^N mod B.m")
1628#undef METHNAME
1629 { 0 }
1630};
1631
1632static PyTypeObject *mpreduce_pytype, mpreduce_pytype_skel = {
6d4db0bf 1633 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1634 "MPReduce", /* @tp_name@ */
d7ab1bab 1635 sizeof(mpreduce_pyobj), /* @tp_basicsize@ */
1636 0, /* @tp_itemsize@ */
1637
1638 mpreduce_pydealloc, /* @tp_dealloc@ */
1639 0, /* @tp_print@ */
1640 0, /* @tp_getattr@ */
1641 0, /* @tp_setattr@ */
1642 0, /* @tp_compare@ */
1643 0, /* @tp_repr@ */
1644 0, /* @tp_as_number@ */
1645 0, /* @tp_as_sequence@ */
1646 0, /* @tp_as_mapping@ */
1647 0, /* @tp_hash@ */
1648 0, /* @tp_call@ */
1649 0, /* @tp_str@ */
1650 0, /* @tp_getattro@ */
1651 0, /* @tp_setattro@ */
1652 0, /* @tp_as_buffer@ */
1653 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1654 Py_TPFLAGS_BASETYPE,
1655
1656 /* @tp_doc@ */
d96c882e 1657 "MPReduce(N): a reduction context for reduction modulo Solinas primes.",
d7ab1bab 1658
1659 0, /* @tp_traverse@ */
1660 0, /* @tp_clear@ */
1661 0, /* @tp_richcompare@ */
1662 0, /* @tp_weaklistoffset@ */
1663 0, /* @tp_iter@ */
963a6148 1664 0, /* @tp_iternext@ */
c90f712e 1665 PYMETHODS(mpreduce), /* @tp_methods@ */
d7ab1bab 1666 0, /* @tp_members@ */
c90f712e 1667 PYGETSET(mpreduce), /* @tp_getset@ */
d7ab1bab 1668 0, /* @tp_base@ */
1669 0, /* @tp_dict@ */
1670 0, /* @tp_descr_get@ */
1671 0, /* @tp_descr_set@ */
1672 0, /* @tp_dictoffset@ */
1673 0, /* @tp_init@ */
1674 PyType_GenericAlloc, /* @tp_alloc@ */
1675 mpreduce_pynew, /* @tp_new@ */
3aa33042 1676 0, /* @tp_free@ */
d7ab1bab 1677 0 /* @tp_is_gc@ */
1678};
1679
1680/*----- Chinese Remainder Theorem solution --------------------------------*/
1681
1682typedef struct mpcrt_pyobj {
1683 PyObject_HEAD
1684 mpcrt c;
1685} mpcrt_pyobj;
1686
1687#define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c)
1688
1689static PyObject *mcmeth_solve(PyObject *me, PyObject *arg)
1690{
1691 mpcrt *c = MPCRT_PY(me);
1692 PyObject *q = 0, *x, *z = 0;
1693 mp *xx;
1694 mp **v = 0;
77a0d53f 1695 Py_ssize_t i = 0, n = c->k;
d7ab1bab 1696
1697 Py_INCREF(me);
c51a597d 1698 if (PyTuple_GET_SIZE(arg) == n)
d7ab1bab 1699 q = arg;
1700 else if (!PyArg_ParseTuple(arg, "O:solve", &q))
1701 goto end;
1702 Py_INCREF(q);
1703 if (!PySequence_Check(q)) TYERR("want a sequence of residues");
4281a7ee
MW		 1704 i = PySequence_Size(q); if (i < 0) goto end;
1705 if (i != n) VALERR("residue count mismatch");
d7ab1bab 1706 v = xmalloc(n * sizeof(*v));
1707 for (i = 0; i < n; i++) {
1708 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1709 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1710 v[i] = xx;
1711 }
1712 z = mp_pywrap(mpcrt_solve(c, MP_NEW, v));
1713end:
1714 if (v) {
1715 n = i;
1716 for (i = 0; i < n; i++)
1717 MP_DROP(v[i]);
1718 xfree(v);
1719 }
1720 Py_DECREF(me);
1721 Py_XDECREF(q);
1722 return (z);
1723}
1724
1725static void mpcrt_pydealloc(PyObject *me)
1726{
1727 mpcrt *c = MPCRT_PY(me);
1728 mpcrt_destroy(c);
1729 xfree(c->v);
1730}
1731
1732static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1733{
1734 mpcrt_mod *v = 0;
77a0d53f 1735 Py_ssize_t n, i = 0, j;
827f89d7 1736 static const char *const kwlist[] = { "mv", 0 };
d7ab1bab 1737 PyObject *q = 0, *x;
d2b7e92c
MW		 1738 mp *xx = MP_NEW, *y = MP_NEW, *g = MP_NEW;
1739 mpmul mm;
d7ab1bab 1740 mpcrt_pyobj *c = 0;
1741
c51a597d 1742 if (PyTuple_GET_SIZE(arg) > 1)
d7ab1bab 1743 q = arg;
827f89d7 1744 else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", KWLIST, &q))
d7ab1bab 1745 goto end;
1746 Py_INCREF(q);
1747 if (!PySequence_Check(q)) TYERR("want a sequence of moduli");
4281a7ee 1748 n = PySequence_Size(q); if (n < 0) goto end;
d7ab1bab 1749 if (!n) VALERR("want at least one modulus");
1750 v = xmalloc(n * sizeof(*v));
1751 for (i = 0; i < n; i++) {
1752 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1753 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
684cd535 1754 if (MP_CMP(xx, <=, MP_ZERO)) VALERR("moduli must be positive");
4e02c19c 1755 v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0; xx = MP_NEW;
d7ab1bab 1756 }
d2b7e92c
MW		 1757 mpmul_init(&mm);
1758 for (j = 0; j < i; j++) mpmul_add(&mm, v[j].m);
1759 xx = mpmul_done(&mm);
1760 for (j = 0; j < i; j++) {
1761 mp_div(&y, 0, xx, v[j].m);
1762 mp_gcd(&g, 0, 0, y, v[j].m);
1763 if (!MP_EQ(g, MP_ONE)) VALERR("moduli must be pairwise coprime");
1764 }
1765
d7ab1bab 1766 c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0);
1767 mpcrt_create(&c->c, v, n, 0);
1768 Py_DECREF(q);
d2b7e92c 1769 mp_drop(xx); mp_drop(y); mp_drop(g);
d7ab1bab 1770 return ((PyObject *)c);
1771
1772end:
1773 if (v) {
1774 n = i;
1775 for (i = 0; i < n; i++)
1776 MP_DROP(v[i].m);
1777 xfree(v);
1778 }
1779 Py_XDECREF(q);
d2b7e92c 1780 mp_drop(xx); mp_drop(y); mp_drop(g);
d7ab1bab 1781 return (0);
1782}
1783
1784static PyObject *mcget_product(PyObject *me, void *hunoz)
1785 { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); }
1786
1787static PyObject *mcget_moduli(PyObject *me, void *hunoz)
1788{
1789 int i;
1790 PyObject *q;
1791 mpcrt *c = MPCRT_PY(me);
1792
1793 if ((q = PyList_New(c->k)) == 0) return (0);
1794 for (i = 0; i < c->k; i++)
c51a597d 1795 PyList_SET_ITEM(q, i, mp_pywrap(c->v[i].m));
d7ab1bab 1796 return (q);
1797}
1798
c90f712e 1799static const PyGetSetDef mpcrt_pygetset[] = {
d7ab1bab 1800#define GETSETNAME(op, name) mc##op##_##name
1801 GET (product, "C.product -> product of moduli")
1802 GET (moduli, "C.moduli -> list of individual moduli")
1803#undef GETSETNAME
1804 { 0 }
1805};
1806
c90f712e 1807static const PyMethodDef mpcrt_pymethods[] = {
d7ab1bab 1808#define METHNAME(name) mcmeth_##name
1809 METH (solve, "C.solve([R0, R1]) -> X mod C.product")
1810#undef METHNAME
1811 { 0 }
1812};
1813
1814static PyTypeObject *mpcrt_pytype, mpcrt_pytype_skel = {
6d4db0bf 1815 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1816 "MPCRT", /* @tp_name@ */
d7ab1bab 1817 sizeof(mpcrt_pyobj), /* @tp_basicsize@ */
1818 0, /* @tp_itemsize@ */
1819
1820 mpcrt_pydealloc, /* @tp_dealloc@ */
1821 0, /* @tp_print@ */
1822 0, /* @tp_getattr@ */
1823 0, /* @tp_setattr@ */
1824 0, /* @tp_compare@ */
1825 0, /* @tp_repr@ */
1826 0, /* @tp_as_number@ */
1827 0, /* @tp_as_sequence@ */
1828 0, /* @tp_as_mapping@ */
1829 0, /* @tp_hash@ */
1830 0, /* @tp_call@ */
1831 0, /* @tp_str@ */
1832 0, /* @tp_getattro@ */
1833 0, /* @tp_setattro@ */
1834 0, /* @tp_as_buffer@ */
1835 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1836 Py_TPFLAGS_BASETYPE,
1837
1838 /* @tp_doc@ */
d96c882e 1839 "MPCRT(SEQ): a context for solving Chinese Remainder Theorem problems.",
d7ab1bab 1840
1841 0, /* @tp_traverse@ */
1842 0, /* @tp_clear@ */
1843 0, /* @tp_richcompare@ */
1844 0, /* @tp_weaklistoffset@ */
1845 0, /* @tp_iter@ */
963a6148 1846 0, /* @tp_iternext@ */
c90f712e 1847 PYMETHODS(mpcrt), /* @tp_methods@ */
d7ab1bab 1848 0, /* @tp_members@ */
c90f712e 1849 PYGETSET(mpcrt), /* @tp_getset@ */
d7ab1bab 1850 0, /* @tp_base@ */
1851 0, /* @tp_dict@ */
1852 0, /* @tp_descr_get@ */
1853 0, /* @tp_descr_set@ */
1854 0, /* @tp_dictoffset@ */
1855 0, /* @tp_init@ */
1856 PyType_GenericAlloc, /* @tp_alloc@ */
1857 mpcrt_pynew, /* @tp_new@ */
3aa33042 1858 0, /* @tp_free@ */
d7ab1bab 1859 0 /* @tp_is_gc@ */
1860};
1861
1862/*----- Binary polynomials ------------------------------------------------*/
1863
1864static PyObject *gf_pyrepr(PyObject *o)
1865 { return mp_topystring(MP_X(o), 16, "GF(", "0x", "L)"); }
1866
1867static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op)
1868{
1869 mp *xx, *yy;
1870 int xl, yl;
1871 int b;
1872
bf8910bd 1873 if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL;
d7ab1bab 1874 switch (op) {
1875 case Py_EQ: b = MP_EQ(xx, yy); break;
1876 case Py_NE: b = !MP_EQ(xx, yy); break;
1877 default:
1878 xl = mp_bits(xx);
1879 yl = mp_bits(yy);
1880 switch (op) {
1881 case Py_LT: b = xl < yl; break;
1882 case Py_LE: b = xl <= yl; break;
1883 case Py_GT: b = xl > yl; break;
1884 case Py_GE: b = xl >= yl; break;
1885 default: abort();
1886 }
1887 break;
1888 }
1889 MP_DROP(xx); MP_DROP(yy);
1890 return (getbool(b));
1891}
1892
1893static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1894{
1895 PyObject *x;
1896 mp *z;
1897 mp_pyobj *zz = 0;
1898 int radix = 0;
827f89d7 1899 static const char *const kwlist[] = { "x", "radix", 0 };
d7ab1bab 1900
827f89d7 1901 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", KWLIST, &x, &radix))
d7ab1bab 1902 goto end;
1903 if (GF_PYCHECK(x)) RETURN_OBJ(x);
f368b46e 1904 if (!good_radix_p(radix, 1)) VALERR("radix out of range");
d7ab1bab 1905 if ((z = mp_frompyobject(x, radix)) == 0) {
1906 PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf",
1907 x->ob_type->tp_name);
1908 goto end;
1909 }
1910 if (MP_NEGP(z)) {
1911 MP_DROP(z);
1912 VALERR("gf cannot be negative");
1913 }
1914 zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
1915 zz->x = z;
1916end:
1917 return ((PyObject *)zz);
1918}
1919
d7ab1bab 1920static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z)
1921{
1922 mp *xx = 0, *yy = 0, *zz = 0;
1923 mp *r = 0;
1924 PyObject *rc = 0;
1925
1926 if ((xx = tomp(x)) == 0 || (yy = tomp(y)) == 0 ||
1927 (z && z != Py_None && (zz = tomp(z)) == 0)) {
1928 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1929 RETURN_NOTIMPL;
1930 }
1931 if (!z || z == Py_None) {
1932 if (MP_NEGP(yy)) VALERR("negative exponent");
1933 r = gf_exp(MP_NEW, xx, yy);
1934 } else {
1935 gfreduce gr;
1936 if (MP_ZEROP(zz)) ZDIVERR("zero modulus");
1937 if (MP_NEGP(yy)) {
1938 if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end;
1939 yy = mp_neg(yy, yy);
1940 }
1941 gfreduce_create(&gr, zz);
1942 r = gfreduce_exp(&gr, MP_NEW, xx, yy);
1943 gfreduce_destroy(&gr);
1944 }
1945 rc = gf_pywrap(r);
1946end:
1947 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1948 return (rc);
1949}
1950
1951static PyObject *gfmeth_sqr(PyObject *me, PyObject *arg)
1952{
1953 if (!PyArg_ParseTuple(arg, ":sqr")) return (0);
1954 return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me))));
1955}
1956
1957static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg)
1958{
1959 PyObject *z = 0;
1960 mp *yy = 0, *zz = MP_NEW;
1961
1962 if (!PyArg_ParseTuple(arg, "O&:gcd", convgf, &yy)) goto end;
1963 gf_gcd(&zz, 0, 0, MP_X(me), yy);
1964 z = gf_pywrap(zz);
1965end:
1966 if (yy) MP_DROP(yy);
1967 return (z);
1968}
1969
1970static PyObject *gfmeth_gcdx(PyObject *me, PyObject *arg)
1971{
1972 PyObject *z = 0;
1973 mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW;
1974
1975 if (!PyArg_ParseTuple(arg, "O&:gcdx", convgf, &yy))
1976 goto end;
1977 gf_gcd(&zz, &uu, &vv, MP_X(me), yy);
1978 z = Py_BuildValue("(NNN)",
1979 gf_pywrap(zz), gf_pywrap(uu), gf_pywrap(vv));
1980end:
1981 if (yy) MP_DROP(yy);
1982 return (z);
1983}
1984
1985static PyObject *gfmeth_modinv(PyObject *me, PyObject *arg)
1986{
1987 PyObject *z = 0;
1988 mp *yy = 0, *zz = MP_NEW;
1989
1990 if (!PyArg_ParseTuple(arg, "O&:modinv", convgf, &yy) ||
1991 (zz = gf_modinv_checked(MP_NEW, yy, MP_X(me))) == 0)
1992 goto end;
1993 z = gf_pywrap(zz);
1994end:
1995 if (yy) MP_DROP(yy);
1996 return (z);
1997}
1998
a157093f
MW		 1999static PyObject *gfmeth_fromstring(PyObject *me,
2000 PyObject *arg, PyObject *kw)
f281293c
MW		 2001{
2002 int r = 0;
2003 char *p;
2004 Py_ssize_t len;
2005 PyObject *z = 0;
2006 mp *zz;
2007 mptext_stringctx sc;
a157093f 2008 static const char *const kwlist[] = { "x", "radix", 0 };
f281293c 2009
a157093f
MW		 2010 if (!PyArg_ParseTupleAndKeywords(arg, kw, "s#|i:fromstring", KWLIST,
2011 &p, &len, &r))
f281293c
MW		 2012 goto end;
2013 if (!good_radix_p(r, 1)) VALERR("bad radix");
2014 sc.buf = p; sc.lim = p + len;
2015 if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 ||
2016 MP_NEGP(zz)) {
2017 if (zz) MP_DROP(zz);
2018 VALERR("bad binary polynomial");
2019 }
2020 z = Py_BuildValue("(Ns#)", gf_pywrap(zz),
2021 sc.buf, (Py_ssize_t)(sc.lim - sc.buf));
2022end:
2023 return (z);
2024}
2025
d7ab1bab 2026static PyObject *gfmeth_irreduciblep(PyObject *me, PyObject *arg)
2027{
2028 if (!PyArg_ParseTuple(arg, ":irreduciblep")) return (0);
2029 return getbool(gf_irreduciblep(MP_X(me)));
2030}
2031
2032static PyObject *gfget_degree(PyObject *me, void *hunoz)
2033 { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); }
2034
c90f712e 2035static const PyGetSetDef gf_pygetset[] = {
d7ab1bab 2036#define GETSETNAME(op, name) gf##op##_##name
2037 GET (degree, "X.degree -> polynomial degree of X")
2038#undef GETSETNAME
2039#define GETSETNAME(op, name) mp##op##_##name
2040 GET (nbits, "X.nbits -> bit length of X")
2041 GET (noctets, "X.noctets -> octet length of X")
2042#undef GETSETNAME
2043 { 0 }
2044};
2045
c90f712e 2046static const PyMethodDef gf_pymethods[] = {
d7ab1bab 2047#define METHNAME(func) gfmeth_##func
2048 METH (setbit, "X.setbit(N) -> X with bit N set")
2049 METH (clearbit, "X.clearbit(N) -> X with bit N clear")
2050 METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
2051 METH (sqr, "X.sqr() -> X^2")
2052 METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
d96c882e 2053 METH (gcdx, "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
d7ab1bab 2054 METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
b2687a0a 2055 METH (irreduciblep, "X.irreduciblep() -> true/false")
a157093f
MW		 2056 KWSMTH(fromstring, "fromstring(STR, [radix = 0]) -> (X, REST)\n"
2057 " Parse STR as a binary polynomial, according to RADIX. If RADIX is\n"
2058 " zero, read a prefix from STR to decide radix: allow `0b' for binary,\n"
2059 " `0' or `0o' for octal, `0x' for hex, or `R_' for other radix R.")
2060 SMTH (loadl, "loadl(STR) -> X: read little-endian bytes")
2061 SMTH (loadb, "loadb(STR) -> X: read big-endian bytes")
2062 SMTH (frombuf, "frombuf(STR) -> (X, REST): read buffer format")
d7ab1bab 2063#undef METHNAME
2064#define METHNAME(func) mpmeth_##func
1df8d5fe
MW		 2065 KWMETH(tostring, "X.tostring([radix = 10]) -> STR")
2066 KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes")
2067 KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes")
d96c882e
MW		 2068 KWMETH(storel2c, "X.storel2c([len = -1]) -> "
2069 "little-endian bytes, two's complement")
2070 KWMETH(storeb2c, "X.storeb2c([len = -1]) -> "
2071 "big-endian bytes, two's complement")
d7ab1bab 2072 METH (tobuf, "X.tobuf() -> buffer format")
2073#undef METHNAME
2074 { 0 }
2075};
2076
c90f712e 2077static const PyNumberMethods gf_pynumber = {
d7ab1bab 2078 gf_pyadd, /* @nb_add@ */
2079 gf_pysub, /* @nb_subtract@ */
2080 gf_pymul, /* @nb_multiply@ */
2081 0, /* @nb_divide@ */
2082 gf_pymod, /* @nb_remainder@ */
2083 gf_pydivmod, /* @nb_divmod@ */
2084 gf_pyexp, /* @nb_power@ */
2085 mp_pyid, /* @nb_negative@ */
2086 mp_pyid, /* @nb_positive@ */
2087 mp_pyid, /* @nb_absolute@ */
2088 mp_pynonzerop, /* @nb_nonzero@ */
2089 0 /* doesn't make any sense */, /* @nb_invert@ */
2090 gf_pylsl, /* @nb_lshift@ */
2091 gf_pylsr, /* @nb_rshift@ */
2092 gf_pyand, /* @nb_and@ */
2093 gf_pyxor, /* @nb_xor@ */
2094 gf_pyor, /* @nb_or@ */
2095 gf_pycoerce, /* @nb_coerce@ */
2096 mp_pyint, /* @nb_int@ */
2097 mp_pylong, /* @nb_long@ */
2098 0 /* doesn't make any sense */, /* @nb_float@ */
2099 mp_pyoct, /* @nb_oct@ */
2100 mp_pyhex, /* @nb_hex@ */
2101
2102 0, /* @nb_inplace_add@ */
2103 0, /* @nb_inplace_subtract@ */
2104 0, /* @nb_inplace_multiply@ */
2105 0, /* @nb_inplace_divide@ */
2106 0, /* @nb_inplace_remainder@ */
2107 0, /* @nb_inplace_power@ */
2108 0, /* @nb_inplace_lshift@ */
2109 0, /* @nb_inplace_rshift@ */
2110 0, /* @nb_inplace_and@ */
2111 0, /* @nb_inplace_xor@ */
2112 0, /* @nb_inplace_or@ */
2113
2114 gf_pydiv, /* @nb_floor_divide@ */
2115 0, /* @nb_true_divide@ */
2116 0, /* @nb_inplace_floor_divide@ */
2117 0, /* @nb_inplace_true_divide@ */
2118};
2119
2120static PyTypeObject gf_pytype_skel = {
6d4db0bf 2121 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 2122 "GF", /* @tp_name@ */
d7ab1bab 2123 sizeof(mp_pyobj), /* @tp_basicsize@ */
2124 0, /* @tp_itemsize@ */
2125
2126 mp_pydealloc, /* @tp_dealloc@ */
2127 0, /* @tp_print@ */
2128 0, /* @tp_getattr@ */
2129 0, /* @tp_setattr@ */
2130 0, /* @tp_compare@ */
2131 gf_pyrepr, /* @tp_repr@ */
c90f712e 2132 PYNUMBER(gf), /* @tp_as_number@ */
d7ab1bab 2133 0, /* @tp_as_sequence@ */
2134 0, /* @tp_as_mapping@ */
ab723d73 2135 mp_pyhash, /* @tp_hash@ */
d7ab1bab 2136 0, /* @tp_call@ */
2137 mp_pyhex, /* @tp_str@ */
2138 0, /* @tp_getattro@ */
2139 0, /* @tp_setattro@ */
2140 0, /* @tp_as_buffer@ */
2141 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2142 Py_TPFLAGS_CHECKTYPES |
2143 Py_TPFLAGS_BASETYPE,
2144
2145 /* @tp_doc@ */
d96c882e
MW		 2146 "Binary polynomials. Support almost all the standard arithmetic\n"
2147 "operations.\n"
2148 "\n"
2149 "Constructor GF(X, [radix = R]) attempts to convert X to a `GF'. If\n"
2150 "X is a string, it's read in radix-R form, or we look for a prefix\n"
2151 "if R = 0. Other acceptable things are field elements, elliptic curve\n"
2152 "points, group elements, Python `int' and `long' objects, and anything\n"
2153 "with an integer conversion.\n"
2154 "\n"
2155 "The name is hopelessly wrong from a technical point of view, but\n"
2156 "but it's much easier to type than `p2' or `c2' or whatever.\n"
2157 "\n"
2158 "Notes:\n"
2159 "\n"
2160 " * Use `//' for Euclidean division: `/' gives exact rational division.",
d7ab1bab 2161
2162 0, /* @tp_traverse@ */
2163 0, /* @tp_clear@ */
2164 gf_pyrichcompare, /* @tp_richcompare@ */
2165 0, /* @tp_weaklistoffset@ */
2166 0, /* @tp_iter@ */
963a6148 2167 0, /* @tp_iternext@ */
c90f712e 2168 PYMETHODS(gf), /* @tp_methods@ */
d7ab1bab 2169 0, /* @tp_members@ */
c90f712e 2170 PYGETSET(gf), /* @tp_getset@ */
d7ab1bab 2171 0, /* @tp_base@ */
2172 0, /* @tp_dict@ */
2173 0, /* @tp_descr_get@ */
2174 0, /* @tp_descr_set@ */
2175 0, /* @tp_dictoffset@ */
2176 0, /* @tp_init@ */
2177 PyType_GenericAlloc, /* @tp_alloc@ */
2178 gf_pynew, /* @tp_new@ */
3aa33042 2179 0, /* @tp_free@ */
d7ab1bab 2180 0 /* @tp_is_gc@ */
2181};
2182
d7ab1bab 2183/*----- Sparse poly reduction ---------------------------------------------*/
2184
2185typedef struct gfreduce_pyobj {
2186 PyObject_HEAD
2187 gfreduce mr;
2188} gfreduce_pyobj;
2189
2190#define GFREDUCE_PY(o) (&((gfreduce_pyobj *)(o))->mr)
2191
2192static PyObject *grmeth_exp(PyObject *me, PyObject *arg)
2193{
2194 PyObject *rc = 0;
2195 mp *yy = 0, *zz = 0;
2196
2197 if (!PyArg_ParseTuple(arg, "O&O&:exp", convgf, &yy, convgf, &zz))
2198 goto end;
2199 if (MP_NEGP(zz)) {
2200 if ((yy = gf_modinv_checked(yy, yy, GFREDUCE_PY(me)->p)) == 0) goto end;
2201 zz = mp_neg(zz, zz);
2202 }
2203 rc = gf_pywrap(gfreduce_exp(GFREDUCE_PY(me), MP_NEW, yy, zz));
2204end:
2205 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
2206 return (rc);
2207}
2208
fbc145f3
MW		 2209static PyObject *grmeth_trace(PyObject *me, PyObject *arg)
2210{
2211 PyObject *rc = 0;
2212 mp *xx = 0;
2213
2214 if (!PyArg_ParseTuple(arg, "O&:trace", convgf, &xx)) goto end;
2215 rc = PyInt_FromLong(gfreduce_trace(GFREDUCE_PY(me), xx));
2216end:
2217 if (xx) MP_DROP(xx);
2218 return (rc);
2219}
2220
2221static PyObject *grmeth_halftrace(PyObject *me, PyObject *arg)
2222{
2223 PyObject *rc = 0;
2224 mp *xx = 0;
2225
2226 if (!PyArg_ParseTuple(arg, "O&:halftrace", convgf, &xx)) goto end;
2227 rc = gf_pywrap(gfreduce_halftrace(GFREDUCE_PY(me), MP_NEW, xx));
2228end:
2229 if (xx) MP_DROP(xx);
2230 return (rc);
2231}
2232
2233static PyObject *grmeth_sqrt(PyObject *me, PyObject *arg)
2234{
2235 PyObject *rc = 0;
2236 mp *xx = 0, *yy;
2237
2238 if (!PyArg_ParseTuple(arg, "O&:sqrt", convgf, &xx)) goto end;
2239 if ((yy = gfreduce_sqrt(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
2240 VALERR("no modular square root");
2241 rc = gf_pywrap(yy);
2242end:
2243 if (xx) MP_DROP(xx);
2244 return (rc);
2245}
2246
2247static PyObject *grmeth_quadsolve(PyObject *me, PyObject *arg)
2248{
2249 PyObject *rc = 0;
2250 mp *xx = 0, *yy;
2251
2252 if (!PyArg_ParseTuple(arg, "O&:quadsolve", convgf, &xx)) goto end;
2253 if ((yy = gfreduce_quadsolve(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
2254 VALERR("no solution found");
2255 rc = gf_pywrap(yy);
2256end:
2257 if (xx) MP_DROP(xx);
2258 return (rc);
2259}
2260
d7ab1bab 2261static PyObject *grmeth_reduce(PyObject *me, PyObject *arg)
2262{
2263 PyObject *z = 0;
2264 mp *yy = 0;
2265
2266 if (!PyArg_ParseTuple(arg, "O&:reduce", convgf, &yy)) goto end;
2267 z = gf_pywrap(gfreduce_do(GFREDUCE_PY(me), MP_NEW, yy));
2268end:
2269 return (z);
2270}
2271
2272static void gfreduce_pydealloc(PyObject *me)
2273{
2274 gfreduce_destroy(GFREDUCE_PY(me));
3aa33042 2275 FREEOBJ(me);
d7ab1bab 2276}
2277
2278static PyObject *gfreduce_pynew(PyTypeObject *ty,
2279 PyObject *arg, PyObject *kw)
2280{
2281 gfreduce_pyobj *mr = 0;
2282 gfreduce r;
827f89d7 2283 static const char *const kwlist[] = { "m", 0 };
d7ab1bab 2284 mp *xx = 0;
2285
827f89d7 2286 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convgf, &xx))
d7ab1bab 2287 goto end;
2288 if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!");
2289 gfreduce_create(&r, xx);
2290 mr = (gfreduce_pyobj *)ty->tp_alloc(ty, 0);
2291 mr->mr = r;
2292end:
2293 if (xx) MP_DROP(xx);
2294 return ((PyObject *)mr);
2295}
2296
2297static PyObject *grget_m(PyObject *me, void *hunoz)
2298 { return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); }
2299
c90f712e 2300static const PyGetSetDef gfreduce_pygetset[] = {
d7ab1bab 2301#define GETSETNAME(op, name) gr##op##_##name
2302 GET (m, "R.m -> reduction polynomial")
2303#undef GETSETNAME
2304 { 0 }
2305};
2306
c90f712e 2307static const PyMethodDef gfreduce_pymethods[] = {
d7ab1bab 2308#define METHNAME(name) grmeth_##name
2309 METH (reduce, "R.reduce(X) -> X mod B.m")
fbc145f3 2310 METH (trace, "R.trace(X) -> Tr(X) = x + x^2 + ... + x^{2^{m - 1}}")
d96c882e 2311 METH (halftrace, "R.halftrace(X) -> x + x^{2^2} + ... + x^{2^{m - 1}}")
fbc145f3
MW		 2312 METH (sqrt, "R.sqrt(X) -> Y where Y^2 = X mod R")
2313 METH (quadsolve, "R.quadsolve(X) -> Y where Y^2 + Y = X mod R")
d7ab1bab 2314 METH (exp, "R.exp(X, N) -> X^N mod B.m")
2315#undef METHNAME
2316 { 0 }
2317};
2318
2319static PyTypeObject *gfreduce_pytype, gfreduce_pytype_skel = {
6d4db0bf 2320 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 2321 "GFReduce", /* @tp_name@ */
d7ab1bab 2322 sizeof(gfreduce_pyobj), /* @tp_basicsize@ */
2323 0, /* @tp_itemsize@ */
2324
2325 gfreduce_pydealloc, /* @tp_dealloc@ */
2326 0, /* @tp_print@ */
2327 0, /* @tp_getattr@ */
2328 0, /* @tp_setattr@ */
2329 0, /* @tp_compare@ */
2330 0, /* @tp_repr@ */
2331 0, /* @tp_as_number@ */
2332 0, /* @tp_as_sequence@ */
2333 0, /* @tp_as_mapping@ */
2334 0, /* @tp_hash@ */
2335 0, /* @tp_call@ */
2336 0, /* @tp_str@ */
2337 0, /* @tp_getattro@ */
2338 0, /* @tp_setattro@ */
2339 0, /* @tp_as_buffer@ */
2340 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2341 Py_TPFLAGS_BASETYPE,
2342
2343 /* @tp_doc@ */
d96c882e 2344 "GFReduce(N): a context for reduction modulo sparse polynomials.",
d7ab1bab 2345
2346 0, /* @tp_traverse@ */
2347 0, /* @tp_clear@ */
2348 0, /* @tp_richcompare@ */
2349 0, /* @tp_weaklistoffset@ */
2350 0, /* @tp_iter@ */
963a6148 2351 0, /* @tp_iternext@ */
c90f712e 2352 PYMETHODS(gfreduce), /* @tp_methods@ */
d7ab1bab 2353 0, /* @tp_members@ */
c90f712e 2354 PYGETSET(gfreduce), /* @tp_getset@ */
d7ab1bab 2355 0, /* @tp_base@ */
2356 0, /* @tp_dict@ */
2357 0, /* @tp_descr_get@ */
2358 0, /* @tp_descr_set@ */
2359 0, /* @tp_dictoffset@ */
2360 0, /* @tp_init@ */
2361 PyType_GenericAlloc, /* @tp_alloc@ */
2362 gfreduce_pynew, /* @tp_new@ */
3aa33042 2363 0, /* @tp_free@ */
d7ab1bab 2364 0 /* @tp_is_gc@ */
2365};
2366
2367/*----- Normal/poly transformation ----------------------------------------*/
2368
2369typedef struct gfn_pyobj {
2370 PyObject_HEAD
2371 mp *p;
2372 gfn ntop, pton;
2373} gfn_pyobj;
2374
2375static PyTypeObject *gfn_pytype, gfn_pytype_skel;
2376
2377#define GFN_P(o) (((gfn_pyobj *)(o))->p)
2378#define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton)
2379#define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop)
2380
2381static PyObject *gfn_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
2382{
2383 mp *p = 0, *beta = 0;
2384 gfn_pyobj *gg = 0;
827f89d7 2385 static const char *const kwlist[] = { "p", "beta", 0 };
d7ab1bab 2386
827f89d7 2387 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", KWLIST,
d7ab1bab 2388 convgf, &p, convgf, &beta))
2389 goto end;
2390 gg = PyObject_New(gfn_pyobj, ty);
79ac6c22 2391 gg->p = 0;
d7ab1bab 2392 if (gfn_create(p, beta, &gg->ntop, &gg->pton)) {
79ac6c22 2393 Py_DECREF(gg);
d7ab1bab 2394 gg = 0;
2395 VALERR("can't invert transformation matrix");
2396 }
2397 gg->p = MP_COPY(p);
2398end:
2399 mp_drop(p);
2400 mp_drop(beta);
2401 return ((PyObject *)gg);
2402}
2403
2404static PyObject *gfnget_p(PyObject *me, void *hunoz)
2405 { return (gf_pywrap(MP_COPY(GFN_P(me)))); }
2406
2407static PyObject *gfnget_beta(PyObject *me, void *hunoz)
2408{
2409 gfn *n = GFN_NTOP(me);
2410 mp *x = n->r[n->n - 1];
2411 return (gf_pywrap(MP_COPY(x)));
2412}
2413
2414#define XFORMOP(name, NAME) \
2415 static PyObject *gfnmeth_##name(PyObject *me, PyObject *arg) \
2416 { \
2417 mp *xx = 0; \
2418 mp *z = 0; \
2419 \
2420 if (!PyArg_ParseTuple(arg, "O&:" #name, convgf, &xx)) goto end; \
2421 z = gfn_transform(GFN_##NAME(me), MP_NEW, xx); \
2422 end: \
2423 mp_drop(xx); \
2424 if (!z) return (0); \
62ce807d 2425 return (gf_pywrap(z)); \
d7ab1bab 2426 }
2427XFORMOP(pton, PTON)
2428XFORMOP(ntop, NTOP)
2429#undef XFORMOP
2430
2431static void gfn_pydealloc(PyObject *me)
2432{
79ac6c22 2433 if (GFN_P(me)) {
b76bb841 2434 MP_DROP(GFN_P(me));
79ac6c22
MW		 2435 gfn_destroy(GFN_PTON(me));
2436 gfn_destroy(GFN_NTOP(me));
2437 }
3aa33042 2438 FREEOBJ(me);
d7ab1bab 2439}
2440
c90f712e 2441static const PyGetSetDef gfn_pygetset[] = {
d7ab1bab 2442#define GETSETNAME(op, name) gfn##op##_##name
2443 GET (p, "X.p -> polynomial basis, as polynomial")
2444 GET (beta, "X.beta -> normal basis element, in poly form")
2445#undef GETSETNAME
2446 { 0 }
2447};
2448
c90f712e 2449static const PyMethodDef gfn_pymethods[] = {
d7ab1bab 2450#define METHNAME(name) gfnmeth_##name
2451 METH (pton, "X.pton(A) -> normal-basis representation of A")
2452 METH (ntop, "X.ntop(A) -> polynomial-basis representation of A")
2453#undef METHNAME
2454 { 0 }
2455};
2456
2457static PyTypeObject gfn_pytype_skel = {
6d4db0bf 2458 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 2459 "GFN", /* @tp_name@ */
d7ab1bab 2460 sizeof(gfn_pyobj), /* @tp_basicsize@ */
2461 0, /* @tp_itemsize@ */
2462
2463 gfn_pydealloc, /* @tp_dealloc@ */
2464 0, /* @tp_print@ */
2465 0, /* @tp_getattr@ */
2466 0, /* @tp_setattr@ */
2467 0, /* @tp_compare@ */
2468 0, /* @tp_repr@ */
2469 0, /* @tp_as_number@ */
2470 0, /* @tp_as_sequence@ */
2471 0, /* @tp_as_mapping@ */
2472 0, /* @tp_hash@ */
2473 0, /* @tp_call@ */
2474 0, /* @tp_str@ */
2475 0, /* @tp_getattro@ */
2476 0, /* @tp_setattro@ */
2477 0, /* @tp_as_buffer@ */
2478 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2479 Py_TPFLAGS_BASETYPE,
2480
2481 /* @tp_doc@ */
d96c882e
MW		 2482 "GFN(P, BETA): an object for transforming elements of binary fields\n"
2483 " between polynomial and normal basis representations.",
d7ab1bab 2484
2485 0, /* @tp_traverse@ */
2486 0, /* @tp_clear@ */
2487 0, /* @tp_richcompare@ */
2488 0, /* @tp_weaklistoffset@ */
2489 0, /* @tp_iter@ */
963a6148 2490 0, /* @tp_iternext@ */
c90f712e 2491 PYMETHODS(gfn), /* @tp_methods@ */
d7ab1bab 2492 0, /* @tp_members@ */
c90f712e 2493 PYGETSET(gfn), /* @tp_getset@ */
d7ab1bab 2494 0, /* @tp_base@ */
2495 0, /* @tp_dict@ */
2496 0, /* @tp_descr_get@ */
2497 0, /* @tp_descr_set@ */
2498 0, /* @tp_dictoffset@ */
2499 0, /* @tp_init@ */
2500 PyType_GenericAlloc, /* @tp_alloc@ */
2501 gfn_pynew, /* @tp_new@ */
3aa33042 2502 0, /* @tp_free@ */
d7ab1bab 2503 0 /* @tp_is_gc@ */
2504};
2505
2506/*----- Glue --------------------------------------------------------------*/
2507
d7ab1bab 2508void mp_pyinit(void)
2509{
2510 INITTYPE(mp, root);
2511 INITTYPE(gf, root);
32507e35 2512 INITTYPE(mpmul, root);
d7ab1bab 2513 INITTYPE(mpmont, root);
2514 INITTYPE(mpbarrett, root);
2515 INITTYPE(mpreduce, root);
2516 INITTYPE(mpcrt, root);
2517 INITTYPE(gfreduce, root);
2518 INITTYPE(gfn, root);
d7ab1bab 2519}
2520
2521void mp_pyinsert(PyObject *mod)
2522{
2523 INSERT("MP", mp_pytype);
32507e35 2524 INSERT("MPMul", mpmul_pytype);
d7ab1bab 2525 INSERT("MPMont", mpmont_pytype);
2526 INSERT("MPBarrett", mpbarrett_pytype);
2527 INSERT("MPReduce", mpreduce_pytype);
2528 INSERT("MPCRT", mpcrt_pytype);
2529 INSERT("GF", gf_pytype);
2530 INSERT("GFReduce", gfreduce_pytype);
2531 INSERT("GFN", gfn_pytype);
2532}
2533
2534/*----- That's all, folks -------------------------------------------------*/
Catacomb cryptographic library -- Python bindings