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*.c: Use the new `Py_hash_t' type.
[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
2a448f86 48 sz = Py_SIZE(l);
d7ab1bab 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;
2a448f86 53 x = mp_new(w, Py_SIZE(l) < 0 ? MP_NEG : 0);
d7ab1bab 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 }
2a448f86 97 Py_SIZE(l) = (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",
2a448f86 241 Py_TYPE(o)->tp_name);
d7ab1bab 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",
2a448f86 260 Py_TYPE(o)->tp_name);
d7ab1bab 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",
2a448f86 539 Py_TYPE(x)->tp_name);
d7ab1bab 540 goto end;
541 }
542 zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
543 zz->x = z;
544end:
545 return ((PyObject *)zz);
546}
547
d6d78edc 548Py_hash_t mphash(mp *x)
d7ab1bab 549{
be6df1c3 550 PyObject *l = mp_topylong(x);
d6d78edc 551 Py_hash_t h = PyObject_Hash(l);
f368b46e 552 Py_DECREF(l); return (h);
d7ab1bab 553}
554
d6d78edc 555static Py_hash_t mp_pyhash(PyObject *me) { return (mphash(MP_X(me))); }
be6df1c3 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
91e56f06 596static PyObject *mpmeth_odd(PyObject *me)
d7ab1bab 597{
598 mp *t;
599 size_t s;
600
d7ab1bab 601 t = mp_odd(MP_NEW, MP_X(me), &s);
602 return (Py_BuildValue("(lN)", (long)s, mp_pywrap(t)));
603}
604
91e56f06
MW		 605static PyObject *mpmeth_sqr(PyObject *me)
606 { return (mp_pywrap(mp_sqr(MP_NEW, MP_X(me)))); }
d7ab1bab 607
91e56f06 608static PyObject *mpmeth_sqrt(PyObject *me)
d7ab1bab 609{
d7ab1bab 610 if (MP_NEGP(MP_X(me))) VALERR("negative root");
611 return (mp_pywrap(mp_sqrt(MP_NEW, MP_X(me))));
612end:
613 return (0);
614}
615
616static PyObject *mpmeth_gcd(PyObject *me, PyObject *arg)
617{
618 mp *y = 0, *zz = MP_NEW;
619 PyObject *z = 0;
620
621 if (!PyArg_ParseTuple(arg, "O&:gcd", convmp, &y)) goto end;
622 mp_gcd(&zz, 0, 0, MP_X(me), y);
623 z = mp_pywrap(zz);
624end:
625 if (y) MP_DROP(y);
626 return (z);
627}
628
629static PyObject *mpmeth_gcdx(PyObject *me, PyObject *arg)
630{
631 PyObject *z = 0;
632 mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW;
633
634 if (!PyArg_ParseTuple(arg, "O&:gcdx", convmp, &yy)) goto end;
635 mp_gcd(&zz, &uu, &vv, MP_X(me), yy);
636 z = Py_BuildValue("(NNN)",
637 mp_pywrap(zz), mp_pywrap(uu), mp_pywrap(vv));
638end:
639 if (yy) MP_DROP(yy);
640 return (z);
641}
642
643static PyObject *mpmeth_modinv(PyObject *me, PyObject *arg)
644{
645 PyObject *z = 0;
646 mp *yy = 0, *zz = MP_NEW;
647
648 if (!PyArg_ParseTuple(arg, "O&:modinv", convmp, &yy) ||
649 (zz = mp_modinv_checked(MP_NEW, yy, MP_X(me))) == 0)
650 goto end;
651 z = mp_pywrap(zz);
652end:
653 if (yy) MP_DROP(yy);
654 return (z);
655}
656
657static PyObject *mpmeth_tostring(PyObject *me, PyObject *arg, PyObject *kw)
658{
659 int radix = 10;
827f89d7
MW		 660 static const char *const kwlist[] = { "radix", 0 };
661 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:tostring", KWLIST, &radix))
d7ab1bab 662 goto end;
f368b46e 663 if (!good_radix_p(radix, 0)) VALERR("bad radix");
d7ab1bab 664 return (mp_topystring(MP_X(me), radix, 0, 0, 0));
665end:
666 return (0);
667}
668
669static PyObject *mpmeth_modsqrt(PyObject *me, PyObject *arg)
670{
671 PyObject *z = 0;
672 mp *yy = 0, *zz = MP_NEW;
673
674 if (!PyArg_ParseTuple(arg, "O&:modsqrt", convmp, &yy)) goto end;
675 if ((zz = mp_modsqrt(MP_NEW, yy, MP_X(me))) == 0)
676 VALERR("no modular square root");
677 z = mp_pywrap(zz);
678end:
679 if (yy) MP_DROP(yy);
680 return (z);
681}
682
d0d94587
MW		 683static PyObject *mpmeth_leastcongruent(PyObject *me, PyObject *arg)
684{
685 mp *z, *b, *m;
686 PyObject *rc = 0;
687
688 if (!PyArg_ParseTuple(arg, "O&O&:leastcongruent", convmp, &b, convmp, &m))
689 goto end;
690 z = mp_leastcongruent(MP_NEW, b, MP_X(me), m);
691 rc = mp_pywrap(z);
692end:
693 return (rc);
694}
695
d7ab1bab 696#define STOREOP(name, c) \
697 static PyObject *mpmeth_##name(PyObject *me, \
698 PyObject *arg, PyObject *kw) \
699 { \
700 long len = -1; \
827f89d7 701 static const char *const kwlist[] = { "len", 0 }; \
d7ab1bab 702 PyObject *rc = 0; \
703 \
704 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|l:" #name, \
827f89d7 705 KWLIST, &len)) \
d7ab1bab 706 goto end; \
707 if (len < 0) { \
708 len = mp_octets##c(MP_X(me)); \
709 if (!len) len = 1; \
710 } \
711 rc = bytestring_pywrap(0, len); \
712 mp_##name(MP_X(me), PyString_AS_STRING(rc), len); \
713 end: \
714 return (rc); \
715 }
716STOREOP(storel, )
717STOREOP(storeb, )
718STOREOP(storel2c, 2c)
719STOREOP(storeb2c, 2c)
720#undef STOREOP
721
a157093f
MW		 722#define BUFOP(ty) \
723 static PyObject *ty##meth_frombuf(PyObject *me, PyObject *arg) \
d7ab1bab 724 { \
725 buf b; \
726 char *p; \
6b54260d 727 Py_ssize_t sz; \
d7ab1bab 728 PyObject *rc = 0; \
729 mp *x; \
730 \
a157093f 731 if (!PyArg_ParseTuple(arg, "s#:frombuf", &p, &sz)) goto end; \
d7ab1bab 732 buf_init(&b, p, sz); \
733 if ((x = buf_getmp(&b)) == 0) VALERR("malformed data"); \
734 rc = Py_BuildValue("(NN)", ty##_pywrap(x), \
735 bytestring_pywrapbuf(&b)); \
736 end: \
737 return (rc); \
738 }
a157093f
MW		 739BUFOP(mp)
740BUFOP(gf)
d7ab1bab 741#undef BUFOP
742
91e56f06 743static PyObject *mpmeth_tobuf(PyObject *me)
d7ab1bab 744{
745 buf b;
746 PyObject *rc;
747 mp *x;
748 size_t n;
749
d7ab1bab 750 x = MP_X(me);
751 n = mp_octets(x) + 3;
752 rc = bytestring_pywrap(0, n);
753 buf_init(&b, PyString_AS_STRING(rc), n);
754 buf_putmp(&b, x);
755 assert(BOK(&b));
756 _PyString_Resize(&rc, BLEN(&b));
757 return (rc);
758}
759
760static PyObject *mpmeth_primep(PyObject *me, PyObject *arg, PyObject *kw)
761{
762 grand *r = &rand_global;
827f89d7 763 static const char *const kwlist[] = { "rng", 0 };
d7ab1bab 764 PyObject *rc = 0;
765
827f89d7 766 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&", KWLIST, convgrand, &r))
d7ab1bab 767 goto end;
768 rc = getbool(pgen_primep(MP_X(me), r));
769end:
770 return (rc);
771}
772
a157093f
MW		 773static PyObject *mpmeth_fromstring(PyObject *me,
774 PyObject *arg, PyObject *kw)
f281293c
MW		 775{
776 int r = 0;
777 char *p;
778 Py_ssize_t len;
779 PyObject *z = 0;
780 mp *zz;
781 mptext_stringctx sc;
a157093f 782 static const char *const kwlist[] = { "x", "radix", 0 };
f281293c 783
a157093f
MW		 784 if (!PyArg_ParseTupleAndKeywords(arg, kw, "s#|i:fromstring", KWLIST,
785 &p, &len, &r))
f281293c
MW		 786 goto end;
787 if (!good_radix_p(r, 1)) VALERR("bad radix");
788 sc.buf = p; sc.lim = p + len;
789 if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0)
790 VALERR("bad integer");
791 z = Py_BuildValue("(Ns#)", mp_pywrap(zz),
792 sc.buf, (Py_ssize_t)(sc.lim - sc.buf));
793end:
794 return (z);
795}
796
a157093f 797static PyObject *mpmeth_factorial(PyObject *me, PyObject *arg)
f281293c
MW		 798{
799 unsigned long i;
800 mp *x;
a157093f 801 if (!PyArg_ParseTuple(arg, "O&:factorial", convulong, &i)) return (0);
f281293c
MW		 802 x = mp_factorial(i);
803 return mp_pywrap(x);
804}
805
a157093f 806static PyObject *mpmeth_fibonacci(PyObject *me, PyObject *arg)
f281293c
MW		 807{
808 long i;
809 mp *x;
a157093f 810 if (!PyArg_ParseTuple(arg, "l:fibonacci", &i)) return (0);
f281293c
MW		 811 x = mp_fibonacci(i);
812 return mp_pywrap(x);
813}
814
a157093f
MW		 815#define LOADOP(pre, name) \
816 static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \
f281293c
MW		 817 { \
818 char *p; \
819 Py_ssize_t len; \
a157093f 820 if (!PyArg_ParseTuple(arg, "s#:" #name, &p, &len)) return (0); \
f281293c
MW		 821 return (pre##_pywrap(mp_##name(MP_NEW, p, len))); \
822 }
a157093f
MW		 823LOADOP(mp, loadl)
824LOADOP(mp, loadb)
825LOADOP(mp, loadl2c)
826LOADOP(mp, loadb2c)
827LOADOP(gf, loadl)
828LOADOP(gf, loadb)
f281293c
MW		 829#undef LOADOP
830
d7ab1bab 831static PyObject *mpget_nbits(PyObject *me, void *hunoz)
832 { return (PyInt_FromLong(mp_bits(MP_X(me)))); }
833
834static PyObject *mpget_noctets(PyObject *me, void *hunoz)
835 { return (PyInt_FromLong(mp_octets(MP_X(me)))); }
836
837static PyObject *mpget_noctets2c(PyObject *me, void *hunoz)
838 { return (PyInt_FromLong(mp_octets2c(MP_X(me)))); }
839
c90f712e 840static const PyGetSetDef mp_pygetset[] = {
d7ab1bab 841#define GETSETNAME(op, func) mp##op##_##func
842 GET (nbits, "X.nbits -> bit length of X")
843 GET (noctets, "X.noctets -> octet length of X")
844 GET (noctets2c, "X.noctets2c -> two's complement octet length of X")
845#undef GETSETNAME
846 { 0 }
847};
848
c90f712e 849static const PyMethodDef mp_pymethods[] = {
d7ab1bab 850#define METHNAME(func) mpmeth_##func
c3060669 851 METH (jacobi, "X.jacobi(Y) -> Jacobi symbol (Y|X) (NB inversion!)")
d7ab1bab 852 METH (setbit, "X.setbit(N) -> X with bit N set")
853 METH (clearbit, "X.clearbit(N) -> X with bit N clear")
854 METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
91e56f06
MW		 855 NAMETH(odd, "X.odd() -> S, T where X = 2^S T with T odd")
856 NAMETH(sqr, "X.sqr() -> X^2")
857 NAMETH(sqrt, "X.sqrt() -> largest integer <= sqrt(X)")
d7ab1bab 858 METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
d96c882e
MW		 859 METH (gcdx, "X.gcdx(Y) -> (gcd(X, Y), U, V) "
860 "with X U + Y V = gcd(X, Y)")
d7ab1bab 861 METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
862 METH (modsqrt, "X.modsqrt(Y) -> square root of Y mod X, if X prime")
d96c882e
MW		 863 METH (leastcongruent, "X.leastcongruent(B, M) -> "
864 "smallest Z >= B with Z == X (mod M)")
9edc275a 865 KWMETH(primep, "X.primep([rng = rand]) -> X is prime?")
1df8d5fe
MW		 866 KWMETH(tostring, "X.tostring([radix = 10]) -> STR")
867 KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes")
868 KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes")
d96c882e
MW		 869 KWMETH(storel2c, "X.storel2c([len = -1]) -> "
870 "little-endian bytes, two's complement")
871 KWMETH(storeb2c, "X.storeb2c([len = -1]) -> "
872 "big-endian bytes, two's complement")
91e56f06 873 NAMETH(tobuf, "X.tobuf() -> buffer format")
a157093f
MW		 874 KWSMTH(fromstring, "fromstring(STR, [radix = 0]) -> (X, REST)\n"
875 " Parse STR as a large integer, according to RADIX. If RADIX is\n"
876 " zero, read a prefix from STR to decide radix: allow `0b' for binary,\n"
877 " `0' or `0o' for octal, `0x' for hex, or `R_' for other radix R.")
878 SMTH (factorial, "factorial(I) -> I!: compute factorial")
879 SMTH (fibonacci, "fibonacci(I) -> F(I): compute Fibonacci number")
880 SMTH (loadl, "loadl(STR) -> X: read little-endian bytes")
881 SMTH (loadb, "loadb(STR) -> X: read big-endian bytes")
882 SMTH (loadl2c, "loadl2c(STR) -> X: "
883 "read little-endian bytes, two's complement")
884 SMTH (loadb2c, "loadb2c(STR) -> X: "
885 "read big-endian bytes, two's complement")
886 SMTH (frombuf, "frombuf(STR) -> (X, REST): read buffer format")
d7ab1bab 887#undef METHNAME
888 { 0 }
889};
890
c90f712e 891static const PyNumberMethods mp_pynumber = {
d7ab1bab 892 mp_pyadd, /* @nb_add@ */
893 mp_pysub, /* @nb_subtract@ */
894 mp_pymul, /* @nb_multiply@ */
895 0, /* @nb_divide@ */
896 mp_pymod, /* @nb_remainder@ */
897 mp_pydivmod, /* @nb_divmod@ */
898 mp_pyexp, /* @nb_power@ */
899 mp_pyneg, /* @nb_negative@ */
900 mp_pyid, /* @nb_positive@ */
901 mp_pyabs, /* @nb_absolute@ */
902 mp_pynonzerop, /* @nb_nonzero@ */
903 mp_pynot2c, /* @nb_invert@ */
904 mp_pylsl2c, /* @nb_lshift@ */
905 mp_pylsr2c, /* @nb_rshift@ */
906 mp_pyand2c, /* @nb_and@ */
907 mp_pyxor2c, /* @nb_xor@ */
908 mp_pyor2c, /* @nb_or@ */
909 mp_pycoerce, /* @nb_coerce@ */
910 mp_pyint, /* @nb_int@ */
911 mp_pylong, /* @nb_long@ */
912 mp_pyfloat, /* @nb_float@ */
913 mp_pyoct, /* @nb_oct@ */
914 mp_pyhex, /* @nb_hex@ */
915
916 0, /* @nb_inplace_add@ */
917 0, /* @nb_inplace_subtract@ */
918 0, /* @nb_inplace_multiply@ */
919 0, /* @nb_inplace_divide@ */
920 0, /* @nb_inplace_remainder@ */
921 0, /* @nb_inplace_power@ */
922 0, /* @nb_inplace_lshift@ */
923 0, /* @nb_inplace_rshift@ */
924 0, /* @nb_inplace_and@ */
925 0, /* @nb_inplace_xor@ */
926 0, /* @nb_inplace_or@ */
927
928 mp_pydiv, /* @nb_floor_divide@ */
929 0, /* @nb_true_divide@ */
930 0, /* @nb_inplace_floor_divide@ */
931 0, /* @nb_inplace_true_divide@ */
932};
933
c263b05c 934static const PyTypeObject mp_pytype_skel = {
591bf41b 935 PyVarObject_HEAD_INIT(0, 0) /* Header */
c461c9b3 936 "MP", /* @tp_name@ */
d7ab1bab 937 sizeof(mp_pyobj), /* @tp_basicsize@ */
938 0, /* @tp_itemsize@ */
939
940 mp_pydealloc, /* @tp_dealloc@ */
941 0, /* @tp_print@ */
942 0, /* @tp_getattr@ */
943 0, /* @tp_setattr@ */
944 mp_pycompare, /* @tp_compare@ */
945 mp_pyrepr, /* @tp_repr@ */
c90f712e 946 PYNUMBER(mp), /* @tp_as_number@ */
d7ab1bab 947 0, /* @tp_as_sequence@ */
948 0, /* @tp_as_mapping@ */
949 mp_pyhash, /* @tp_hash@ */
950 0, /* @tp_call@ */
951 mp_pystr, /* @tp_str@ */
952 0, /* @tp_getattro@ */
953 0, /* @tp_setattro@ */
954 0, /* @tp_as_buffer@ */
955 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
956 Py_TPFLAGS_CHECKTYPES |
957 Py_TPFLAGS_BASETYPE,
958
959 /* @tp_doc@ */
d96c882e
MW		 960 "Multiprecision integers, similar to `long' but more efficient and\n"
961 "versatile. Support all the standard arithmetic operations, with\n"
962 "implicit conversions from `PrimeFilter', and other objects which\n"
963 "convert to `long'.\n"
964 "\n"
965 "Constructor MP(X, [radix = R]) attempts to convert X to an `MP'. If\n"
966 "X is a string, it's read in radix-R form, or we look for a prefix\n"
967 "if R = 0. Other acceptable things are field elements, elliptic curve\n"
968 "points, group elements, Python `int' and `long' objects, and anything\n"
969 "with an integer conversion.\n"
970 "\n"
971 "Notes:\n"
972 "\n"
973 " * Use `//' for integer division: `/' gives exact rational division.",
d7ab1bab 974
975 0, /* @tp_traverse@ */
976 0, /* @tp_clear@ */
977 0, /* @tp_richcompare@ */
978 0, /* @tp_weaklistoffset@ */
979 0, /* @tp_iter@ */
963a6148 980 0, /* @tp_iternext@ */
c90f712e 981 PYMETHODS(mp), /* @tp_methods@ */
d7ab1bab 982 0, /* @tp_members@ */
c90f712e 983 PYGETSET(mp), /* @tp_getset@ */
d7ab1bab 984 0, /* @tp_base@ */
985 0, /* @tp_dict@ */
986 0, /* @tp_descr_get@ */
987 0, /* @tp_descr_set@ */
988 0, /* @tp_dictoffset@ */
989 0, /* @tp_init@ */
990 PyType_GenericAlloc, /* @tp_alloc@ */
991 mp_pynew, /* @tp_new@ */
3aa33042 992 0, /* @tp_free@ */
d7ab1bab 993 0 /* @tp_is_gc@ */
994};
995
32507e35
MW		 996/*----- Products of small integers ----------------------------------------*/
997
c263b05c
MW		 998static PyTypeObject *mpmul_pytype;
999
32507e35
MW		 1000typedef struct mpmul_pyobj {
1001 PyObject_HEAD
1002 int livep;
1003 mpmul mm;
1004} mpmul_pyobj;
1005
1006#define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep)
1007#define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm)
1008
1009static void mpmul_pydealloc(PyObject *me)
1010{
1011 if (MPMUL_LIVEP(me))
1012 mp_drop(mpmul_done(MPMUL_PY(me)));
1013 FREEOBJ(me);
1014}
1015
1016static PyObject *mmmeth_factor(PyObject *me, PyObject *arg)
d7ab1bab 1017{
d7ab1bab 1018 PyObject *q, *i;
1019 mp *x;
1020
32507e35 1021 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
c51a597d 1022 if (PyTuple_GET_SIZE(arg) != 1)
d7ab1bab 1023 i = PyObject_GetIter(arg);
32507e35 1024 else {
c51a597d 1025 if ((q = PyTuple_GET_ITEM(arg, 0)) == 0) goto end;
d7ab1bab 1026 if ((i = PyObject_GetIter(q)) == 0) {
1027 PyErr_Clear(); /* that's ok */
1028 i = PyObject_GetIter(arg);
1029 }
1030 }
32507e35 1031 if (!i) goto end;
d7ab1bab 1032 while ((q = PyIter_Next(i)) != 0) {
1033 x = getmp(q); Py_DECREF(q); if (!x) {
d7ab1bab 1034 Py_DECREF(i);
32507e35 1035 goto end;
d7ab1bab 1036 }
32507e35 1037 mpmul_add(MPMUL_PY(me), x);
d7ab1bab 1038 MP_DROP(x);
1039 }
d7ab1bab 1040 Py_DECREF(i);
32507e35
MW		 1041 RETURN_ME;
1042end:
1043 return (0);
1044}
1045
91e56f06 1046static PyObject *mmmeth_done(PyObject *me)
32507e35
MW		 1047{
1048 mp *x;
1049
32507e35
MW		 1050 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
1051 x = mpmul_done(MPMUL_PY(me));
1052 MPMUL_LIVEP(me) = 0;
d7ab1bab 1053 return (mp_pywrap(x));
32507e35
MW		 1054end:
1055 return (0);
d7ab1bab 1056}
1057
32507e35
MW		 1058static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1059{
1060 mpmul_pyobj *mm;
1061
1062 if (kw) TYERR("keyword arguments not allowed here");
1063 mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0);
1064 mpmul_init(&mm->mm);
1065 mm->livep = 1;
1066 if (mmmeth_factor((PyObject *)mm, arg) == 0) {
1067 Py_DECREF(mm);
1068 goto end;
d7ab1bab 1069 }
32507e35
MW		 1070 return ((PyObject *)mm);
1071end:
1072 return (0);
1073}
1074
1075static PyObject *mmget_livep(PyObject *me, void *hunoz)
1076 { return (getbool(MPMUL_LIVEP(me))); }
1077
c90f712e 1078static const PyGetSetDef mpmul_pygetset[] = {
32507e35 1079#define GETSETNAME(op, name) mm##op##_##name
d96c882e 1080 GET (livep, "MM.livep -> flag: object still valid?")
32507e35
MW		 1081#undef GETSETNAME
1082 { 0 }
1083};
1084
c90f712e 1085static const PyMethodDef mpmul_pymethods[] = {
32507e35 1086#define METHNAME(name) mmmeth_##name
d96c882e 1087 METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)")
91e56f06 1088 NAMETH(done, "MM.done() -> PRODUCT")
32507e35
MW		 1089#undef METHNAME
1090 { 0 }
1091};
1092
c263b05c 1093static const PyTypeObject mpmul_pytype_skel = {
591bf41b 1094 PyVarObject_HEAD_INIT(0, 0) /* Header */
c461c9b3 1095 "MPMul", /* @tp_name@ */
32507e35
MW		 1096 sizeof(mpmul_pyobj), /* @tp_basicsize@ */
1097 0, /* @tp_itemsize@ */
1098
1099 mpmul_pydealloc, /* @tp_dealloc@ */
1100 0, /* @tp_print@ */
1101 0, /* @tp_getattr@ */
1102 0, /* @tp_setattr@ */
1103 0, /* @tp_compare@ */
1104 0, /* @tp_repr@ */
1105 0, /* @tp_as_number@ */
1106 0, /* @tp_as_sequence@ */
1107 0, /* @tp_as_mapping@ */
1108 0, /* @tp_hash@ */
1109 0, /* @tp_call@ */
1110 0, /* @tp_str@ */
1111 0, /* @tp_getattro@ */
1112 0, /* @tp_setattro@ */
1113 0, /* @tp_as_buffer@ */
1114 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1115 Py_TPFLAGS_BASETYPE,
1116
1117 /* @tp_doc@ */
d96c882e 1118 "MPMul(N_0, N_1, ....): an object for multiplying many small integers.",
32507e35
MW		 1119
1120 0, /* @tp_traverse@ */
1121 0, /* @tp_clear@ */
1122 0, /* @tp_richcompare@ */
1123 0, /* @tp_weaklistoffset@ */
1124 0, /* @tp_iter@ */
1125 0, /* @tp_iternext@ */
c90f712e 1126 PYMETHODS(mpmul), /* @tp_methods@ */
32507e35 1127 0, /* @tp_members@ */
c90f712e 1128 PYGETSET(mpmul), /* @tp_getset@ */
32507e35
MW		 1129 0, /* @tp_base@ */
1130 0, /* @tp_dict@ */
1131 0, /* @tp_descr_get@ */
1132 0, /* @tp_descr_set@ */
1133 0, /* @tp_dictoffset@ */
1134 0, /* @tp_init@ */
1135 PyType_GenericAlloc, /* @tp_alloc@ */
1136 mpmul_pynew, /* @tp_new@ */
1137 0, /* @tp_free@ */
1138 0 /* @tp_is_gc@ */
1139};
d7ab1bab 1140
1141/*----- Montgomery reduction ----------------------------------------------*/
1142
c263b05c
MW		 1143static PyTypeObject *mpmont_pytype;
1144
d7ab1bab 1145typedef struct mpmont_pyobj {
1146 PyObject_HEAD
1147 mpmont mm;
1148} mpmont_pyobj;
1149
1150#define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm)
1151
1152static PyObject *mmmeth_int(PyObject *me, PyObject *arg)
1153{
1154 PyObject *z = 0;
1155 mp *yy = 0;
1156 mpmont *mm = MPMONT_PY(me);
1157
1158 if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy))
1159 goto end;
1160 mp_div(0, &yy, yy, mm->m);
1161 z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2));
1162end:
1163 if (yy) MP_DROP(yy);
1164 return (z);
1165}
1166
1167static PyObject *mmmeth_mul(PyObject *me, PyObject *arg)
1168{
1169 PyObject *rc = 0;
1170 mp *yy = 0, *zz = 0;
1171
1172 if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz))
1173 goto end;
1174 rc = mp_pywrap(mpmont_mul(MPMONT_PY(me), MP_NEW, yy, zz));
1175end:
1176 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1177 return (rc);
1178}
1179
1180static PyObject *mmmeth_exp(PyObject *me, PyObject *arg)
1181{
1182 PyObject *rc = 0;
1183 mp *yy = 0, *zz = 0;
1184
1185 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1186 goto end;
1187 if (MP_NEGP(zz)) {
1188 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1189 zz = mp_neg(zz, zz);
1190 }
1191 rc = mp_pywrap(mpmont_exp(MPMONT_PY(me), MP_NEW, yy, zz));
1192end:
1193 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1194 return (rc);
1195}
1196
1197static PyObject *mmmeth_expr(PyObject *me, PyObject *arg)
1198{
1199 PyObject *rc = 0;
1200 mp *yy = 0, *zz = 0;
1201
1202 if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz))
1203 goto end;
1204 if (MP_NEGP(zz)) {
1205 yy = mpmont_reduce(MPMONT_PY(me), yy, yy);
1206 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1207 yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2);
1208 zz = mp_neg(zz, zz);
1209 }
1210 rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz));
1211end:
1212 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1213 return (rc);
1214}
1215
1216static PyObject *mm_mexpr_id(PyObject *me)
1217 { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); }
1218
1219static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1220{
1221 mp *xx = 0, *yy = 0;
1222 mp_expfactor *f = p;
1223 mpmont *mm = MPMONT_PY(me);
1224
1225 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1226 goto fail;
1227 if (MP_NEGP(yy)) {
1228 xx = mpmont_reduce(mm, xx, xx);
1229 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1230 goto fail;
1231 xx = mpmont_mul(mm, xx, xx, mm->r2);
1232 yy = mp_neg(yy, yy);
1233 }
1234 f->base = xx;
1235 f->exp = yy;
1236 return (0);
1237
1238fail:
1239 mp_drop(xx); mp_drop(yy);
1240 return (-1);
1241}
1242
1243static PyObject *mm_mexpr(PyObject *me, void *v, int n)
1244 { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1245
d7ab1bab 1246static void mp_mexp_drop(void *p)
1247{
1248 mp_expfactor *f = p;
1249 mp_drop(f->base);
1250 mp_drop(f->exp);
1251}
1252
1253static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg)
1254{
1255 return mexp_common(me, arg, sizeof(mp_expfactor),
1256 mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop);
1257}
1258
1259static PyObject *mp_mexp_id(PyObject *me)
1260 { return mp_pywrap(MP_ONE); }
1261
1262static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1263{
1264 mp *xx = 0, *yy = 0;
1265 mp_expfactor *f = p;
1266
1267 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1268 goto fail;
1269 if (MP_NEGP(yy)) {
1270 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1271 goto fail;
1272 yy = mp_neg(yy, yy);
1273 }
1274 f->base = xx;
1275 f->exp = yy;
1276 return (0);
1277
1278fail:
1279 mp_drop(xx); mp_drop(yy);
1280 return (-1);
1281}
1282
1283static PyObject *mm_mexp(PyObject *me, void *v, int n)
1284 { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1285
d7ab1bab 1286static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg)
1287{
1288 return mexp_common(me, arg, sizeof(mp_expfactor),
1289 mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop);
1290}
1291
1292#define mmmeth_ext mmmeth_reduce
1293static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg)
1294{
1295 PyObject *z = 0;
1296 mp *yy = 0;
1297
1298 if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end;
1299 z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy));
1300end:
1301 return (z);
1302}
1303
1304static void mpmont_pydealloc(PyObject *me)
1305{
1306 mpmont_destroy(MPMONT_PY(me));
3aa33042 1307 FREEOBJ(me);
d7ab1bab 1308}
1309
1310static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1311{
1312 mpmont_pyobj *mm = 0;
827f89d7 1313 static const char *const kwlist[] = { "m", 0 };
d7ab1bab 1314 mp *xx = 0;
1315
827f89d7 1316 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx))
d7ab1bab 1317 goto end;
1318 if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd");
1319 mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0);
1320 mpmont_create(&mm->mm, xx);
1321end:
1322 if (xx) MP_DROP(xx);
1323 return ((PyObject *)mm);
1324}
1325
1326static PyObject *mmget_m(PyObject *me, void *hunoz)
1327 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); }
1328
1329static PyObject *mmget_r(PyObject *me, void *hunoz)
1330 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); }
1331
1332static PyObject *mmget_r2(PyObject *me, void *hunoz)
1333 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); }
1334
c90f712e 1335static const PyGetSetDef mpmont_pygetset[] = {
d7ab1bab 1336#define GETSETNAME(op, name) mm##op##_##name
1337 GET (m, "M.m -> modulus for reduction")
1338 GET (r, "M.r -> multiplicative identity")
1339 GET (r2, "M.r2 -> M.r^2, Montgomerization factor")
1340#undef GETSETNAME
1341 { 0 }
1342};
1343
c90f712e 1344static const PyMethodDef mpmont_pymethods[] = {
d7ab1bab 1345#define METHNAME(name) mmmeth_##name
986bcc44 1346 METH (int, "M.int(X) -> XR")
d7ab1bab 1347 METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y")
1348 METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m")
d96c882e
MW		 1349 METH (mexpr, "M.mexpr([(XR0, N0), (XR1, N1), ...]) = ZR "
1350 "where Z = X0^N0 X1^N1 ... mod M.m\n"
1351 "\t(the list may be flattened if this more convenient.)")
d7ab1bab 1352 METH (reduce, "M.reduce(XR) -> X")
1353 METH (ext, "M.ext(XR) -> X")
1354 METH (exp, "M.exp(X, N) -> X^N mod M.m")
d96c882e
MW		 1355 METH (mexp, "M.mexp([(X0, N0), (X1, N1), ...]) = "
1356 "X0^N0 X1^N1 ... mod M.m\n"
1357 "\t(the list may be flattened if this more convenient.)")
d7ab1bab 1358#undef METHNAME
1359 { 0 }
1360};
1361
c263b05c 1362static const PyTypeObject mpmont_pytype_skel = {
591bf41b 1363 PyVarObject_HEAD_INIT(0, 0) /* Header */
c461c9b3 1364 "MPMont", /* @tp_name@ */
d7ab1bab 1365 sizeof(mpmont_pyobj), /* @tp_basicsize@ */
1366 0, /* @tp_itemsize@ */
1367
1368 mpmont_pydealloc, /* @tp_dealloc@ */
1369 0, /* @tp_print@ */
1370 0, /* @tp_getattr@ */
1371 0, /* @tp_setattr@ */
1372 0, /* @tp_compare@ */
1373 0, /* @tp_repr@ */
1374 0, /* @tp_as_number@ */
1375 0, /* @tp_as_sequence@ */
1376 0, /* @tp_as_mapping@ */
1377 0, /* @tp_hash@ */
1378 0, /* @tp_call@ */
1379 0, /* @tp_str@ */
1380 0, /* @tp_getattro@ */
1381 0, /* @tp_setattro@ */
1382 0, /* @tp_as_buffer@ */
1383 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1384 Py_TPFLAGS_BASETYPE,
1385
1386 /* @tp_doc@ */
d96c882e 1387 "MPMont(N): a Montgomery reduction context.",
d7ab1bab 1388
1389 0, /* @tp_traverse@ */
1390 0, /* @tp_clear@ */
1391 0, /* @tp_richcompare@ */
1392 0, /* @tp_weaklistoffset@ */
1393 0, /* @tp_iter@ */
963a6148 1394 0, /* @tp_iternext@ */
c90f712e 1395 PYMETHODS(mpmont), /* @tp_methods@ */
d7ab1bab 1396 0, /* @tp_members@ */
c90f712e 1397 PYGETSET(mpmont), /* @tp_getset@ */
d7ab1bab 1398 0, /* @tp_base@ */
1399 0, /* @tp_dict@ */
1400 0, /* @tp_descr_get@ */
1401 0, /* @tp_descr_set@ */
1402 0, /* @tp_dictoffset@ */
1403 0, /* @tp_init@ */
1404 PyType_GenericAlloc, /* @tp_alloc@ */
1405 mpmont_pynew, /* @tp_new@ */
3aa33042 1406 0, /* @tp_free@ */
d7ab1bab 1407 0 /* @tp_is_gc@ */
1408};
1409
1410/*----- Barrett reduction -------------------------------------------------*/
1411
c263b05c
MW		 1412static PyTypeObject *mpbarrett_pytype;
1413
d7ab1bab 1414typedef struct mpbarrett_pyobj {
1415 PyObject_HEAD
1416 mpbarrett mb;
1417} mpbarrett_pyobj;
1418
1419#define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb)
1420
1421static PyObject *mbmeth_exp(PyObject *me, PyObject *arg)
1422{
1423 PyObject *rc = 0;
1424 mp *yy = 0, *zz = 0;
1425
1426 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1427 goto end;
1428 if (MP_NEGP(zz)) {
1429 if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end;
1430 zz = mp_neg(zz, zz);
1431 }
1432 rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz));
1433end:
1434 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1435 return (rc);
1436}
1437
1438static PyObject *mb_mexp(PyObject *me, void *v, int n)
1439 { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); }
b2687a0a 1440
d7ab1bab 1441static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg)
1442{
1443 return mexp_common(me, arg, sizeof(mp_expfactor),
1444 mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop);
1445}
1446
1447static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg)
1448{
1449 PyObject *z = 0;
1450 mp *yy = 0;
1451
1452 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy))
1453 goto end;
1454 z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy));
1455end:
1456 return (z);
1457}
1458
1459static void mpbarrett_pydealloc(PyObject *me)
1460{
1461 mpbarrett_destroy(MPBARRETT_PY(me));
3aa33042 1462 FREEOBJ(me);
d7ab1bab 1463}
1464
1465static PyObject *mpbarrett_pynew(PyTypeObject *ty,
1466 PyObject *arg, PyObject *kw)
1467{
1468 mpbarrett_pyobj *mb = 0;
827f89d7 1469 static const char *const kwlist[] = { "m", 0 };
d7ab1bab 1470 mp *xx = 0;
1471
827f89d7 1472 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx))
d7ab1bab 1473 goto end;
1474 if (!MP_POSP(xx)) VALERR("m must be positive");
1475 mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0);
1476 mpbarrett_create(&mb->mb, xx);
1477end:
1478 if (xx) MP_DROP(xx);
1479 return ((PyObject *)mb);
1480}
1481
1482static PyObject *mbget_m(PyObject *me, void *hunoz)
1483 { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); }
1484
c90f712e 1485static const PyGetSetDef mpbarrett_pygetset[] = {
d7ab1bab 1486#define GETSETNAME(op, name) mb##op##_##name
1487 GET (m, "B.m -> modulus for reduction")
1488#undef GETSETNAME
1489 { 0 }
1490};
1491
c90f712e 1492static const PyMethodDef mpbarrett_pymethods[] = {
d7ab1bab 1493#define METHNAME(name) mbmeth_##name
1494 METH (reduce, "B.reduce(X) -> X mod B.m")
1495 METH (exp, "B.exp(X, N) -> X^N mod B.m")
d96c882e
MW		 1496 METH (mexp, "B.mexp([(X0, N0), (X1, N1), ...]) = "
1497 "X0^N0 X1^N1 ... mod B.m\n"
1498 "\t(the list may be flattened if this more convenient.)")
d7ab1bab 1499#undef METHNAME
1500 { 0 }
1501};
1502
c263b05c 1503static const PyTypeObject mpbarrett_pytype_skel = {
591bf41b 1504 PyVarObject_HEAD_INIT(0, 0) /* Header */
c461c9b3 1505 "MPBarrett", /* @tp_name@ */
d7ab1bab 1506 sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */
1507 0, /* @tp_itemsize@ */
1508
1509 mpbarrett_pydealloc, /* @tp_dealloc@ */
1510 0, /* @tp_print@ */
1511 0, /* @tp_getattr@ */
1512 0, /* @tp_setattr@ */
1513 0, /* @tp_compare@ */
1514 0, /* @tp_repr@ */
1515 0, /* @tp_as_number@ */
1516 0, /* @tp_as_sequence@ */
1517 0, /* @tp_as_mapping@ */
1518 0, /* @tp_hash@ */
1519 0, /* @tp_call@ */
1520 0, /* @tp_str@ */
1521 0, /* @tp_getattro@ */
1522 0, /* @tp_setattro@ */
1523 0, /* @tp_as_buffer@ */
1524 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1525 Py_TPFLAGS_BASETYPE,
1526
1527 /* @tp_doc@ */
d96c882e 1528 "MPBarrett(N): a Barrett reduction context.",
d7ab1bab 1529
1530 0, /* @tp_traverse@ */
1531 0, /* @tp_clear@ */
1532 0, /* @tp_richcompare@ */
1533 0, /* @tp_weaklistoffset@ */
1534 0, /* @tp_iter@ */
963a6148 1535 0, /* @tp_iternext@ */
c90f712e 1536 PYMETHODS(mpbarrett), /* @tp_methods@ */
d7ab1bab 1537 0, /* @tp_members@ */
c90f712e 1538 PYGETSET(mpbarrett), /* @tp_getset@ */
d7ab1bab 1539 0, /* @tp_base@ */
1540 0, /* @tp_dict@ */
1541 0, /* @tp_descr_get@ */
1542 0, /* @tp_descr_set@ */
1543 0, /* @tp_dictoffset@ */
1544 0, /* @tp_init@ */
1545 PyType_GenericAlloc, /* @tp_alloc@ */
1546 mpbarrett_pynew, /* @tp_new@ */
3aa33042 1547 0, /* @tp_free@ */
d7ab1bab 1548 0 /* @tp_is_gc@ */
1549};
1550
1551/*----- Nice prime reduction ----------------------------------------------*/
1552
c263b05c
MW		 1553static PyTypeObject *mpreduce_pytype;
1554
d7ab1bab 1555typedef struct mpreduce_pyobj {
1556 PyObject_HEAD
1557 mpreduce mr;
1558} mpreduce_pyobj;
1559
1560#define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr)
1561
1562static PyObject *mrmeth_exp(PyObject *me, PyObject *arg)
1563{
1564 PyObject *rc = 0;
1565 mp *yy = 0, *zz = 0;
1566
1567 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1568 goto end;
1569 if (MP_NEGP(zz)) {
1570 if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end;
1571 zz = mp_neg(zz, zz);
1572 }
1573 rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz));
1574end:
1575 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1576 return (rc);
1577}
1578
1579static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg)
1580{
1581 PyObject *z = 0;
1582 mp *yy = 0;
1583
1584 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end;
1585 z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy));
1586end:
1587 return (z);
1588}
1589
1590static void mpreduce_pydealloc(PyObject *me)
1591{
1592 mpreduce_destroy(MPREDUCE_PY(me));
3aa33042 1593 FREEOBJ(me);
d7ab1bab 1594}
1595
1596static PyObject *mpreduce_pynew(PyTypeObject *ty,
1597 PyObject *arg, PyObject *kw)
1598{
1599 mpreduce_pyobj *mr = 0;
1600 mpreduce r;
827f89d7 1601 static const char *const kwlist[] = { "m", 0 };
d7ab1bab 1602 mp *xx = 0;
1603
827f89d7 1604 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx))
d7ab1bab 1605 goto end;
1606 if (!MP_POSP(xx)) VALERR("m must be positive");
1607 if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)");
1608 mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0);
1609 mr->mr = r;
1610end:
1611 if (xx) MP_DROP(xx);
1612 return ((PyObject *)mr);
1613}
1614
1615static PyObject *mrget_m(PyObject *me, void *hunoz)
1616 { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); }
1617
c90f712e 1618static const PyGetSetDef mpreduce_pygetset[] = {
d7ab1bab 1619#define GETSETNAME(op, name) mr##op##_##name
1620 GET (m, "R.m -> modulus for reduction")
1621#undef GETSETNAME
1622 { 0 }
1623};
1624
c90f712e 1625static const const PyMethodDef mpreduce_pymethods[] = {
d7ab1bab 1626#define METHNAME(name) mrmeth_##name
1627 METH (reduce, "R.reduce(X) -> X mod B.m")
1628 METH (exp, "R.exp(X, N) -> X^N mod B.m")
1629#undef METHNAME
1630 { 0 }
1631};
1632
c263b05c 1633static const PyTypeObject mpreduce_pytype_skel = {
591bf41b 1634 PyVarObject_HEAD_INIT(0, 0) /* Header */
c461c9b3 1635 "MPReduce", /* @tp_name@ */
d7ab1bab 1636 sizeof(mpreduce_pyobj), /* @tp_basicsize@ */
1637 0, /* @tp_itemsize@ */
1638
1639 mpreduce_pydealloc, /* @tp_dealloc@ */
1640 0, /* @tp_print@ */
1641 0, /* @tp_getattr@ */
1642 0, /* @tp_setattr@ */
1643 0, /* @tp_compare@ */
1644 0, /* @tp_repr@ */
1645 0, /* @tp_as_number@ */
1646 0, /* @tp_as_sequence@ */
1647 0, /* @tp_as_mapping@ */
1648 0, /* @tp_hash@ */
1649 0, /* @tp_call@ */
1650 0, /* @tp_str@ */
1651 0, /* @tp_getattro@ */
1652 0, /* @tp_setattro@ */
1653 0, /* @tp_as_buffer@ */
1654 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1655 Py_TPFLAGS_BASETYPE,
1656
1657 /* @tp_doc@ */
d96c882e 1658 "MPReduce(N): a reduction context for reduction modulo Solinas primes.",
d7ab1bab 1659
1660 0, /* @tp_traverse@ */
1661 0, /* @tp_clear@ */
1662 0, /* @tp_richcompare@ */
1663 0, /* @tp_weaklistoffset@ */
1664 0, /* @tp_iter@ */
963a6148 1665 0, /* @tp_iternext@ */
c90f712e 1666 PYMETHODS(mpreduce), /* @tp_methods@ */
d7ab1bab 1667 0, /* @tp_members@ */
c90f712e 1668 PYGETSET(mpreduce), /* @tp_getset@ */
d7ab1bab 1669 0, /* @tp_base@ */
1670 0, /* @tp_dict@ */
1671 0, /* @tp_descr_get@ */
1672 0, /* @tp_descr_set@ */
1673 0, /* @tp_dictoffset@ */
1674 0, /* @tp_init@ */
1675 PyType_GenericAlloc, /* @tp_alloc@ */
1676 mpreduce_pynew, /* @tp_new@ */
3aa33042 1677 0, /* @tp_free@ */
d7ab1bab 1678 0 /* @tp_is_gc@ */
1679};
1680
1681/*----- Chinese Remainder Theorem solution --------------------------------*/
1682
c263b05c
MW		 1683static PyTypeObject *mpcrt_pytype;
1684
d7ab1bab 1685typedef struct mpcrt_pyobj {
1686 PyObject_HEAD
1687 mpcrt c;
1688} mpcrt_pyobj;
1689
1690#define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c)
1691
1692static PyObject *mcmeth_solve(PyObject *me, PyObject *arg)
1693{
1694 mpcrt *c = MPCRT_PY(me);
1695 PyObject *q = 0, *x, *z = 0;
1696 mp *xx;
1697 mp **v = 0;
77a0d53f 1698 Py_ssize_t i = 0, n = c->k;
d7ab1bab 1699
1700 Py_INCREF(me);
c51a597d 1701 if (PyTuple_GET_SIZE(arg) == n)
d7ab1bab 1702 q = arg;
1703 else if (!PyArg_ParseTuple(arg, "O:solve", &q))
1704 goto end;
1705 Py_INCREF(q);
1706 if (!PySequence_Check(q)) TYERR("want a sequence of residues");
4281a7ee
MW		 1707 i = PySequence_Size(q); if (i < 0) goto end;
1708 if (i != n) VALERR("residue count mismatch");
d7ab1bab 1709 v = xmalloc(n * sizeof(*v));
1710 for (i = 0; i < n; i++) {
1711 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1712 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1713 v[i] = xx;
1714 }
1715 z = mp_pywrap(mpcrt_solve(c, MP_NEW, v));
1716end:
1717 if (v) {
1718 n = i;
1719 for (i = 0; i < n; i++)
1720 MP_DROP(v[i]);
1721 xfree(v);
1722 }
1723 Py_DECREF(me);
1724 Py_XDECREF(q);
1725 return (z);
1726}
1727
1728static void mpcrt_pydealloc(PyObject *me)
1729{
1730 mpcrt *c = MPCRT_PY(me);
1731 mpcrt_destroy(c);
1732 xfree(c->v);
1733}
1734
1735static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1736{
1737 mpcrt_mod *v = 0;
77a0d53f 1738 Py_ssize_t n, i = 0, j;
827f89d7 1739 static const char *const kwlist[] = { "mv", 0 };
d7ab1bab 1740 PyObject *q = 0, *x;
d2b7e92c
MW		 1741 mp *xx = MP_NEW, *y = MP_NEW, *g = MP_NEW;
1742 mpmul mm;
d7ab1bab 1743 mpcrt_pyobj *c = 0;
1744
c51a597d 1745 if (PyTuple_GET_SIZE(arg) > 1)
d7ab1bab 1746 q = arg;
827f89d7 1747 else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", KWLIST, &q))
d7ab1bab 1748 goto end;
1749 Py_INCREF(q);
1750 if (!PySequence_Check(q)) TYERR("want a sequence of moduli");
4281a7ee 1751 n = PySequence_Size(q); if (n < 0) goto end;
d7ab1bab 1752 if (!n) VALERR("want at least one modulus");
1753 v = xmalloc(n * sizeof(*v));
1754 for (i = 0; i < n; i++) {
1755 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1756 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
684cd535 1757 if (MP_CMP(xx, <=, MP_ZERO)) VALERR("moduli must be positive");
4e02c19c 1758 v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0; xx = MP_NEW;
d7ab1bab 1759 }
d2b7e92c
MW		 1760 mpmul_init(&mm);
1761 for (j = 0; j < i; j++) mpmul_add(&mm, v[j].m);
1762 xx = mpmul_done(&mm);
1763 for (j = 0; j < i; j++) {
1764 mp_div(&y, 0, xx, v[j].m);
1765 mp_gcd(&g, 0, 0, y, v[j].m);
1766 if (!MP_EQ(g, MP_ONE)) VALERR("moduli must be pairwise coprime");
1767 }
1768
d7ab1bab 1769 c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0);
1770 mpcrt_create(&c->c, v, n, 0);
1771 Py_DECREF(q);
d2b7e92c 1772 mp_drop(xx); mp_drop(y); mp_drop(g);
d7ab1bab 1773 return ((PyObject *)c);
1774
1775end:
1776 if (v) {
1777 n = i;
1778 for (i = 0; i < n; i++)
1779 MP_DROP(v[i].m);
1780 xfree(v);
1781 }
1782 Py_XDECREF(q);
d2b7e92c 1783 mp_drop(xx); mp_drop(y); mp_drop(g);
d7ab1bab 1784 return (0);
1785}
1786
1787static PyObject *mcget_product(PyObject *me, void *hunoz)
1788 { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); }
1789
1790static PyObject *mcget_moduli(PyObject *me, void *hunoz)
1791{
1792 int i;
1793 PyObject *q;
1794 mpcrt *c = MPCRT_PY(me);
1795
1796 if ((q = PyList_New(c->k)) == 0) return (0);
1797 for (i = 0; i < c->k; i++)
c51a597d 1798 PyList_SET_ITEM(q, i, mp_pywrap(c->v[i].m));
d7ab1bab 1799 return (q);
1800}
1801
c90f712e 1802static const PyGetSetDef mpcrt_pygetset[] = {
d7ab1bab 1803#define GETSETNAME(op, name) mc##op##_##name
1804 GET (product, "C.product -> product of moduli")
1805 GET (moduli, "C.moduli -> list of individual moduli")
1806#undef GETSETNAME
1807 { 0 }
1808};
1809
c90f712e 1810static const PyMethodDef mpcrt_pymethods[] = {
d7ab1bab 1811#define METHNAME(name) mcmeth_##name
1812 METH (solve, "C.solve([R0, R1]) -> X mod C.product")
1813#undef METHNAME
1814 { 0 }
1815};
1816
c263b05c 1817static const PyTypeObject mpcrt_pytype_skel = {
591bf41b 1818 PyVarObject_HEAD_INIT(0, 0) /* Header */
c461c9b3 1819 "MPCRT", /* @tp_name@ */
d7ab1bab 1820 sizeof(mpcrt_pyobj), /* @tp_basicsize@ */
1821 0, /* @tp_itemsize@ */
1822
1823 mpcrt_pydealloc, /* @tp_dealloc@ */
1824 0, /* @tp_print@ */
1825 0, /* @tp_getattr@ */
1826 0, /* @tp_setattr@ */
1827 0, /* @tp_compare@ */
1828 0, /* @tp_repr@ */
1829 0, /* @tp_as_number@ */
1830 0, /* @tp_as_sequence@ */
1831 0, /* @tp_as_mapping@ */
1832 0, /* @tp_hash@ */
1833 0, /* @tp_call@ */
1834 0, /* @tp_str@ */
1835 0, /* @tp_getattro@ */
1836 0, /* @tp_setattro@ */
1837 0, /* @tp_as_buffer@ */
1838 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1839 Py_TPFLAGS_BASETYPE,
1840
1841 /* @tp_doc@ */
d96c882e 1842 "MPCRT(SEQ): a context for solving Chinese Remainder Theorem problems.",
d7ab1bab 1843
1844 0, /* @tp_traverse@ */
1845 0, /* @tp_clear@ */
1846 0, /* @tp_richcompare@ */
1847 0, /* @tp_weaklistoffset@ */
1848 0, /* @tp_iter@ */
963a6148 1849 0, /* @tp_iternext@ */
c90f712e 1850 PYMETHODS(mpcrt), /* @tp_methods@ */
d7ab1bab 1851 0, /* @tp_members@ */
c90f712e 1852 PYGETSET(mpcrt), /* @tp_getset@ */
d7ab1bab 1853 0, /* @tp_base@ */
1854 0, /* @tp_dict@ */
1855 0, /* @tp_descr_get@ */
1856 0, /* @tp_descr_set@ */
1857 0, /* @tp_dictoffset@ */
1858 0, /* @tp_init@ */
1859 PyType_GenericAlloc, /* @tp_alloc@ */
1860 mpcrt_pynew, /* @tp_new@ */
3aa33042 1861 0, /* @tp_free@ */
d7ab1bab 1862 0 /* @tp_is_gc@ */
1863};
1864
1865/*----- Binary polynomials ------------------------------------------------*/
1866
1867static PyObject *gf_pyrepr(PyObject *o)
1868 { return mp_topystring(MP_X(o), 16, "GF(", "0x", "L)"); }
1869
1870static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op)
1871{
1872 mp *xx, *yy;
1873 int xl, yl;
1874 int b;
1875
bf8910bd 1876 if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL;
d7ab1bab 1877 switch (op) {
1878 case Py_EQ: b = MP_EQ(xx, yy); break;
1879 case Py_NE: b = !MP_EQ(xx, yy); break;
1880 default:
1881 xl = mp_bits(xx);
1882 yl = mp_bits(yy);
1883 switch (op) {
1884 case Py_LT: b = xl < yl; break;
1885 case Py_LE: b = xl <= yl; break;
1886 case Py_GT: b = xl > yl; break;
1887 case Py_GE: b = xl >= yl; break;
1888 default: abort();
1889 }
1890 break;
1891 }
1892 MP_DROP(xx); MP_DROP(yy);
1893 return (getbool(b));
1894}
1895
1896static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1897{
1898 PyObject *x;
1899 mp *z;
1900 mp_pyobj *zz = 0;
1901 int radix = 0;
827f89d7 1902 static const char *const kwlist[] = { "x", "radix", 0 };
d7ab1bab 1903
827f89d7 1904 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", KWLIST, &x, &radix))
d7ab1bab 1905 goto end;
1906 if (GF_PYCHECK(x)) RETURN_OBJ(x);
f368b46e 1907 if (!good_radix_p(radix, 1)) VALERR("radix out of range");
d7ab1bab 1908 if ((z = mp_frompyobject(x, radix)) == 0) {
1909 PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf",
2a448f86 1910 Py_TYPE(x)->tp_name);
d7ab1bab 1911 goto end;
1912 }
1913 if (MP_NEGP(z)) {
1914 MP_DROP(z);
1915 VALERR("gf cannot be negative");
1916 }
1917 zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
1918 zz->x = z;
1919end:
1920 return ((PyObject *)zz);
1921}
1922
d7ab1bab 1923static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z)
1924{
1925 mp *xx = 0, *yy = 0, *zz = 0;
1926 mp *r = 0;
1927 PyObject *rc = 0;
1928
1929 if ((xx = tomp(x)) == 0 || (yy = tomp(y)) == 0 ||
1930 (z && z != Py_None && (zz = tomp(z)) == 0)) {
1931 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1932 RETURN_NOTIMPL;
1933 }
1934 if (!z || z == Py_None) {
1935 if (MP_NEGP(yy)) VALERR("negative exponent");
1936 r = gf_exp(MP_NEW, xx, yy);
1937 } else {
1938 gfreduce gr;
1939 if (MP_ZEROP(zz)) ZDIVERR("zero modulus");
1940 if (MP_NEGP(yy)) {
1941 if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end;
1942 yy = mp_neg(yy, yy);
1943 }
1944 gfreduce_create(&gr, zz);
1945 r = gfreduce_exp(&gr, MP_NEW, xx, yy);
1946 gfreduce_destroy(&gr);
1947 }
1948 rc = gf_pywrap(r);
1949end:
1950 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1951 return (rc);
1952}
1953
91e56f06
MW		 1954static PyObject *gfmeth_sqr(PyObject *me)
1955 { return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me)))); }
d7ab1bab 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
91e56f06
MW		 2026static PyObject *gfmeth_irreduciblep(PyObject *me)
2027 { return getbool(gf_irreduciblep(MP_X(me))); }
d7ab1bab 2028
2029static PyObject *gfget_degree(PyObject *me, void *hunoz)
2030 { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); }
2031
c90f712e 2032static const PyGetSetDef gf_pygetset[] = {
d7ab1bab 2033#define GETSETNAME(op, name) gf##op##_##name
2034 GET (degree, "X.degree -> polynomial degree of X")
2035#undef GETSETNAME
2036#define GETSETNAME(op, name) mp##op##_##name
2037 GET (nbits, "X.nbits -> bit length of X")
2038 GET (noctets, "X.noctets -> octet length of X")
2039#undef GETSETNAME
2040 { 0 }
2041};
2042
c90f712e 2043static const PyMethodDef gf_pymethods[] = {
d7ab1bab 2044#define METHNAME(func) gfmeth_##func
2045 METH (setbit, "X.setbit(N) -> X with bit N set")
2046 METH (clearbit, "X.clearbit(N) -> X with bit N clear")
2047 METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
91e56f06 2048 NAMETH(sqr, "X.sqr() -> X^2")
d7ab1bab 2049 METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
d96c882e 2050 METH (gcdx, "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
d7ab1bab 2051 METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
91e56f06 2052 NAMETH(irreduciblep, "X.irreduciblep() -> true/false")
a157093f
MW		 2053 KWSMTH(fromstring, "fromstring(STR, [radix = 0]) -> (X, REST)\n"
2054 " Parse STR as a binary polynomial, according to RADIX. If RADIX is\n"
2055 " zero, read a prefix from STR to decide radix: allow `0b' for binary,\n"
2056 " `0' or `0o' for octal, `0x' for hex, or `R_' for other radix R.")
2057 SMTH (loadl, "loadl(STR) -> X: read little-endian bytes")
2058 SMTH (loadb, "loadb(STR) -> X: read big-endian bytes")
2059 SMTH (frombuf, "frombuf(STR) -> (X, REST): read buffer format")
d7ab1bab 2060#undef METHNAME
2061#define METHNAME(func) mpmeth_##func
1df8d5fe
MW		 2062 KWMETH(tostring, "X.tostring([radix = 10]) -> STR")
2063 KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes")
2064 KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes")
d96c882e
MW		 2065 KWMETH(storel2c, "X.storel2c([len = -1]) -> "
2066 "little-endian bytes, two's complement")
2067 KWMETH(storeb2c, "X.storeb2c([len = -1]) -> "
2068 "big-endian bytes, two's complement")
91e56f06 2069 NAMETH(tobuf, "X.tobuf() -> buffer format")
d7ab1bab 2070#undef METHNAME
2071 { 0 }
2072};
2073
c90f712e 2074static const PyNumberMethods gf_pynumber = {
d7ab1bab 2075 gf_pyadd, /* @nb_add@ */
2076 gf_pysub, /* @nb_subtract@ */
2077 gf_pymul, /* @nb_multiply@ */
2078 0, /* @nb_divide@ */
2079 gf_pymod, /* @nb_remainder@ */
2080 gf_pydivmod, /* @nb_divmod@ */
2081 gf_pyexp, /* @nb_power@ */
2082 mp_pyid, /* @nb_negative@ */
2083 mp_pyid, /* @nb_positive@ */
2084 mp_pyid, /* @nb_absolute@ */
2085 mp_pynonzerop, /* @nb_nonzero@ */
2086 0 /* doesn't make any sense */, /* @nb_invert@ */
2087 gf_pylsl, /* @nb_lshift@ */
2088 gf_pylsr, /* @nb_rshift@ */
2089 gf_pyand, /* @nb_and@ */
2090 gf_pyxor, /* @nb_xor@ */
2091 gf_pyor, /* @nb_or@ */
2092 gf_pycoerce, /* @nb_coerce@ */
2093 mp_pyint, /* @nb_int@ */
2094 mp_pylong, /* @nb_long@ */
2095 0 /* doesn't make any sense */, /* @nb_float@ */
2096 mp_pyoct, /* @nb_oct@ */
2097 mp_pyhex, /* @nb_hex@ */
2098
2099 0, /* @nb_inplace_add@ */
2100 0, /* @nb_inplace_subtract@ */
2101 0, /* @nb_inplace_multiply@ */
2102 0, /* @nb_inplace_divide@ */
2103 0, /* @nb_inplace_remainder@ */
2104 0, /* @nb_inplace_power@ */
2105 0, /* @nb_inplace_lshift@ */
2106 0, /* @nb_inplace_rshift@ */
2107 0, /* @nb_inplace_and@ */
2108 0, /* @nb_inplace_xor@ */
2109 0, /* @nb_inplace_or@ */
2110
2111 gf_pydiv, /* @nb_floor_divide@ */
2112 0, /* @nb_true_divide@ */
2113 0, /* @nb_inplace_floor_divide@ */
2114 0, /* @nb_inplace_true_divide@ */
2115};
2116
c263b05c 2117static const PyTypeObject gf_pytype_skel = {
591bf41b 2118 PyVarObject_HEAD_INIT(0, 0) /* Header */
c461c9b3 2119 "GF", /* @tp_name@ */
d7ab1bab 2120 sizeof(mp_pyobj), /* @tp_basicsize@ */
2121 0, /* @tp_itemsize@ */
2122
2123 mp_pydealloc, /* @tp_dealloc@ */
2124 0, /* @tp_print@ */
2125 0, /* @tp_getattr@ */
2126 0, /* @tp_setattr@ */
2127 0, /* @tp_compare@ */
2128 gf_pyrepr, /* @tp_repr@ */
c90f712e 2129 PYNUMBER(gf), /* @tp_as_number@ */
d7ab1bab 2130 0, /* @tp_as_sequence@ */
2131 0, /* @tp_as_mapping@ */
ab723d73 2132 mp_pyhash, /* @tp_hash@ */
d7ab1bab 2133 0, /* @tp_call@ */
2134 mp_pyhex, /* @tp_str@ */
2135 0, /* @tp_getattro@ */
2136 0, /* @tp_setattro@ */
2137 0, /* @tp_as_buffer@ */
2138 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2139 Py_TPFLAGS_CHECKTYPES |
2140 Py_TPFLAGS_BASETYPE,
2141
2142 /* @tp_doc@ */
d96c882e
MW		 2143 "Binary polynomials. Support almost all the standard arithmetic\n"
2144 "operations.\n"
2145 "\n"
2146 "Constructor GF(X, [radix = R]) attempts to convert X to a `GF'. If\n"
2147 "X is a string, it's read in radix-R form, or we look for a prefix\n"
2148 "if R = 0. Other acceptable things are field elements, elliptic curve\n"
2149 "points, group elements, Python `int' and `long' objects, and anything\n"
2150 "with an integer conversion.\n"
2151 "\n"
2152 "The name is hopelessly wrong from a technical point of view, but\n"
2153 "but it's much easier to type than `p2' or `c2' or whatever.\n"
2154 "\n"
2155 "Notes:\n"
2156 "\n"
2157 " * Use `//' for Euclidean division: `/' gives exact rational division.",
d7ab1bab 2158
2159 0, /* @tp_traverse@ */
2160 0, /* @tp_clear@ */
2161 gf_pyrichcompare, /* @tp_richcompare@ */
2162 0, /* @tp_weaklistoffset@ */
2163 0, /* @tp_iter@ */
963a6148 2164 0, /* @tp_iternext@ */
c90f712e 2165 PYMETHODS(gf), /* @tp_methods@ */
d7ab1bab 2166 0, /* @tp_members@ */
c90f712e 2167 PYGETSET(gf), /* @tp_getset@ */
d7ab1bab 2168 0, /* @tp_base@ */
2169 0, /* @tp_dict@ */
2170 0, /* @tp_descr_get@ */
2171 0, /* @tp_descr_set@ */
2172 0, /* @tp_dictoffset@ */
2173 0, /* @tp_init@ */
2174 PyType_GenericAlloc, /* @tp_alloc@ */
2175 gf_pynew, /* @tp_new@ */
3aa33042 2176 0, /* @tp_free@ */
d7ab1bab 2177 0 /* @tp_is_gc@ */
2178};
2179
d7ab1bab 2180/*----- Sparse poly reduction ---------------------------------------------*/
2181
c263b05c
MW		 2182static PyTypeObject *gfreduce_pytype;
2183
d7ab1bab 2184typedef struct gfreduce_pyobj {
2185 PyObject_HEAD
2186 gfreduce mr;
2187} gfreduce_pyobj;
2188
2189#define GFREDUCE_PY(o) (&((gfreduce_pyobj *)(o))->mr)
2190
2191static PyObject *grmeth_exp(PyObject *me, PyObject *arg)
2192{
2193 PyObject *rc = 0;
2194 mp *yy = 0, *zz = 0;
2195
2196 if (!PyArg_ParseTuple(arg, "O&O&:exp", convgf, &yy, convgf, &zz))
2197 goto end;
2198 if (MP_NEGP(zz)) {
2199 if ((yy = gf_modinv_checked(yy, yy, GFREDUCE_PY(me)->p)) == 0) goto end;
2200 zz = mp_neg(zz, zz);
2201 }
2202 rc = gf_pywrap(gfreduce_exp(GFREDUCE_PY(me), MP_NEW, yy, zz));
2203end:
2204 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
2205 return (rc);
2206}
2207
fbc145f3
MW		 2208static PyObject *grmeth_trace(PyObject *me, PyObject *arg)
2209{
2210 PyObject *rc = 0;
2211 mp *xx = 0;
2212
2213 if (!PyArg_ParseTuple(arg, "O&:trace", convgf, &xx)) goto end;
2214 rc = PyInt_FromLong(gfreduce_trace(GFREDUCE_PY(me), xx));
2215end:
2216 if (xx) MP_DROP(xx);
2217 return (rc);
2218}
2219
2220static PyObject *grmeth_halftrace(PyObject *me, PyObject *arg)
2221{
2222 PyObject *rc = 0;
2223 mp *xx = 0;
2224
2225 if (!PyArg_ParseTuple(arg, "O&:halftrace", convgf, &xx)) goto end;
2226 rc = gf_pywrap(gfreduce_halftrace(GFREDUCE_PY(me), MP_NEW, xx));
2227end:
2228 if (xx) MP_DROP(xx);
2229 return (rc);
2230}
2231
2232static PyObject *grmeth_sqrt(PyObject *me, PyObject *arg)
2233{
2234 PyObject *rc = 0;
2235 mp *xx = 0, *yy;
2236
2237 if (!PyArg_ParseTuple(arg, "O&:sqrt", convgf, &xx)) goto end;
2238 if ((yy = gfreduce_sqrt(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
2239 VALERR("no modular square root");
2240 rc = gf_pywrap(yy);
2241end:
2242 if (xx) MP_DROP(xx);
2243 return (rc);
2244}
2245
2246static PyObject *grmeth_quadsolve(PyObject *me, PyObject *arg)
2247{
2248 PyObject *rc = 0;
2249 mp *xx = 0, *yy;
2250
2251 if (!PyArg_ParseTuple(arg, "O&:quadsolve", convgf, &xx)) goto end;
2252 if ((yy = gfreduce_quadsolve(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
2253 VALERR("no solution found");
2254 rc = gf_pywrap(yy);
2255end:
2256 if (xx) MP_DROP(xx);
2257 return (rc);
2258}
2259
d7ab1bab 2260static PyObject *grmeth_reduce(PyObject *me, PyObject *arg)
2261{
2262 PyObject *z = 0;
2263 mp *yy = 0;
2264
2265 if (!PyArg_ParseTuple(arg, "O&:reduce", convgf, &yy)) goto end;
2266 z = gf_pywrap(gfreduce_do(GFREDUCE_PY(me), MP_NEW, yy));
2267end:
2268 return (z);
2269}
2270
2271static void gfreduce_pydealloc(PyObject *me)
2272{
2273 gfreduce_destroy(GFREDUCE_PY(me));
3aa33042 2274 FREEOBJ(me);
d7ab1bab 2275}
2276
2277static PyObject *gfreduce_pynew(PyTypeObject *ty,
2278 PyObject *arg, PyObject *kw)
2279{
2280 gfreduce_pyobj *mr = 0;
2281 gfreduce r;
827f89d7 2282 static const char *const kwlist[] = { "m", 0 };
d7ab1bab 2283 mp *xx = 0;
2284
827f89d7 2285 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convgf, &xx))
d7ab1bab 2286 goto end;
2287 if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!");
2288 gfreduce_create(&r, xx);
2289 mr = (gfreduce_pyobj *)ty->tp_alloc(ty, 0);
2290 mr->mr = r;
2291end:
2292 if (xx) MP_DROP(xx);
2293 return ((PyObject *)mr);
2294}
2295
2296static PyObject *grget_m(PyObject *me, void *hunoz)
2297 { return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); }
2298
c90f712e 2299static const PyGetSetDef gfreduce_pygetset[] = {
d7ab1bab 2300#define GETSETNAME(op, name) gr##op##_##name
2301 GET (m, "R.m -> reduction polynomial")
2302#undef GETSETNAME
2303 { 0 }
2304};
2305
c90f712e 2306static const PyMethodDef gfreduce_pymethods[] = {
d7ab1bab 2307#define METHNAME(name) grmeth_##name
2308 METH (reduce, "R.reduce(X) -> X mod B.m")
fbc145f3 2309 METH (trace, "R.trace(X) -> Tr(X) = x + x^2 + ... + x^{2^{m - 1}}")
d96c882e 2310 METH (halftrace, "R.halftrace(X) -> x + x^{2^2} + ... + x^{2^{m - 1}}")
fbc145f3
MW		 2311 METH (sqrt, "R.sqrt(X) -> Y where Y^2 = X mod R")
2312 METH (quadsolve, "R.quadsolve(X) -> Y where Y^2 + Y = X mod R")
d7ab1bab 2313 METH (exp, "R.exp(X, N) -> X^N mod B.m")
2314#undef METHNAME
2315 { 0 }
2316};
2317
c263b05c 2318static const PyTypeObject gfreduce_pytype_skel = {
591bf41b 2319 PyVarObject_HEAD_INIT(0, 0) /* Header */
c461c9b3 2320 "GFReduce", /* @tp_name@ */
d7ab1bab 2321 sizeof(gfreduce_pyobj), /* @tp_basicsize@ */
2322 0, /* @tp_itemsize@ */
2323
2324 gfreduce_pydealloc, /* @tp_dealloc@ */
2325 0, /* @tp_print@ */
2326 0, /* @tp_getattr@ */
2327 0, /* @tp_setattr@ */
2328 0, /* @tp_compare@ */
2329 0, /* @tp_repr@ */
2330 0, /* @tp_as_number@ */
2331 0, /* @tp_as_sequence@ */
2332 0, /* @tp_as_mapping@ */
2333 0, /* @tp_hash@ */
2334 0, /* @tp_call@ */
2335 0, /* @tp_str@ */
2336 0, /* @tp_getattro@ */
2337 0, /* @tp_setattro@ */
2338 0, /* @tp_as_buffer@ */
2339 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2340 Py_TPFLAGS_BASETYPE,
2341
2342 /* @tp_doc@ */
d96c882e 2343 "GFReduce(N): a context for reduction modulo sparse polynomials.",
d7ab1bab 2344
2345 0, /* @tp_traverse@ */
2346 0, /* @tp_clear@ */
2347 0, /* @tp_richcompare@ */
2348 0, /* @tp_weaklistoffset@ */
2349 0, /* @tp_iter@ */
963a6148 2350 0, /* @tp_iternext@ */
c90f712e 2351 PYMETHODS(gfreduce), /* @tp_methods@ */
d7ab1bab 2352 0, /* @tp_members@ */
c90f712e 2353 PYGETSET(gfreduce), /* @tp_getset@ */
d7ab1bab 2354 0, /* @tp_base@ */
2355 0, /* @tp_dict@ */
2356 0, /* @tp_descr_get@ */
2357 0, /* @tp_descr_set@ */
2358 0, /* @tp_dictoffset@ */
2359 0, /* @tp_init@ */
2360 PyType_GenericAlloc, /* @tp_alloc@ */
2361 gfreduce_pynew, /* @tp_new@ */
3aa33042 2362 0, /* @tp_free@ */
d7ab1bab 2363 0 /* @tp_is_gc@ */
2364};
2365
2366/*----- Normal/poly transformation ----------------------------------------*/
2367
c263b05c
MW		 2368static PyTypeObject *gfn_pytype;
2369
d7ab1bab 2370typedef struct gfn_pyobj {
2371 PyObject_HEAD
2372 mp *p;
2373 gfn ntop, pton;
2374} gfn_pyobj;
2375
d7ab1bab 2376#define GFN_P(o) (((gfn_pyobj *)(o))->p)
2377#define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton)
2378#define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop)
2379
2380static PyObject *gfn_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
2381{
2382 mp *p = 0, *beta = 0;
2383 gfn_pyobj *gg = 0;
827f89d7 2384 static const char *const kwlist[] = { "p", "beta", 0 };
d7ab1bab 2385
827f89d7 2386 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", KWLIST,
d7ab1bab 2387 convgf, &p, convgf, &beta))
2388 goto end;
2389 gg = PyObject_New(gfn_pyobj, ty);
79ac6c22 2390 gg->p = 0;
d7ab1bab 2391 if (gfn_create(p, beta, &gg->ntop, &gg->pton)) {
79ac6c22 2392 Py_DECREF(gg);
d7ab1bab 2393 gg = 0;
2394 VALERR("can't invert transformation matrix");
2395 }
2396 gg->p = MP_COPY(p);
2397end:
2398 mp_drop(p);
2399 mp_drop(beta);
2400 return ((PyObject *)gg);
2401}
2402
2403static PyObject *gfnget_p(PyObject *me, void *hunoz)
2404 { return (gf_pywrap(MP_COPY(GFN_P(me)))); }
2405
2406static PyObject *gfnget_beta(PyObject *me, void *hunoz)
2407{
2408 gfn *n = GFN_NTOP(me);
2409 mp *x = n->r[n->n - 1];
2410 return (gf_pywrap(MP_COPY(x)));
2411}
2412
2413#define XFORMOP(name, NAME) \
2414 static PyObject *gfnmeth_##name(PyObject *me, PyObject *arg) \
2415 { \
2416 mp *xx = 0; \
2417 mp *z = 0; \
2418 \
2419 if (!PyArg_ParseTuple(arg, "O&:" #name, convgf, &xx)) goto end; \
2420 z = gfn_transform(GFN_##NAME(me), MP_NEW, xx); \
2421 end: \
2422 mp_drop(xx); \
2423 if (!z) return (0); \
62ce807d 2424 return (gf_pywrap(z)); \
d7ab1bab 2425 }
2426XFORMOP(pton, PTON)
2427XFORMOP(ntop, NTOP)
2428#undef XFORMOP
2429
2430static void gfn_pydealloc(PyObject *me)
2431{
79ac6c22 2432 if (GFN_P(me)) {
b76bb841 2433 MP_DROP(GFN_P(me));
79ac6c22
MW		 2434 gfn_destroy(GFN_PTON(me));
2435 gfn_destroy(GFN_NTOP(me));
2436 }
3aa33042 2437 FREEOBJ(me);
d7ab1bab 2438}
2439
c90f712e 2440static const PyGetSetDef gfn_pygetset[] = {
d7ab1bab 2441#define GETSETNAME(op, name) gfn##op##_##name
2442 GET (p, "X.p -> polynomial basis, as polynomial")
2443 GET (beta, "X.beta -> normal basis element, in poly form")
2444#undef GETSETNAME
2445 { 0 }
2446};
2447
c90f712e 2448static const PyMethodDef gfn_pymethods[] = {
d7ab1bab 2449#define METHNAME(name) gfnmeth_##name
2450 METH (pton, "X.pton(A) -> normal-basis representation of A")
2451 METH (ntop, "X.ntop(A) -> polynomial-basis representation of A")
2452#undef METHNAME
2453 { 0 }
2454};
2455
c263b05c 2456static const PyTypeObject gfn_pytype_skel = {
591bf41b 2457 PyVarObject_HEAD_INIT(0, 0) /* Header */
c461c9b3 2458 "GFN", /* @tp_name@ */
d7ab1bab 2459 sizeof(gfn_pyobj), /* @tp_basicsize@ */
2460 0, /* @tp_itemsize@ */
2461
2462 gfn_pydealloc, /* @tp_dealloc@ */
2463 0, /* @tp_print@ */
2464 0, /* @tp_getattr@ */
2465 0, /* @tp_setattr@ */
2466 0, /* @tp_compare@ */
2467 0, /* @tp_repr@ */
2468 0, /* @tp_as_number@ */
2469 0, /* @tp_as_sequence@ */
2470 0, /* @tp_as_mapping@ */
2471 0, /* @tp_hash@ */
2472 0, /* @tp_call@ */
2473 0, /* @tp_str@ */
2474 0, /* @tp_getattro@ */
2475 0, /* @tp_setattro@ */
2476 0, /* @tp_as_buffer@ */
2477 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2478 Py_TPFLAGS_BASETYPE,
2479
2480 /* @tp_doc@ */
d96c882e
MW		 2481 "GFN(P, BETA): an object for transforming elements of binary fields\n"
2482 " between polynomial and normal basis representations.",
d7ab1bab 2483
2484 0, /* @tp_traverse@ */
2485 0, /* @tp_clear@ */
2486 0, /* @tp_richcompare@ */
2487 0, /* @tp_weaklistoffset@ */
2488 0, /* @tp_iter@ */
963a6148 2489 0, /* @tp_iternext@ */
c90f712e 2490 PYMETHODS(gfn), /* @tp_methods@ */
d7ab1bab 2491 0, /* @tp_members@ */
c90f712e 2492 PYGETSET(gfn), /* @tp_getset@ */
d7ab1bab 2493 0, /* @tp_base@ */
2494 0, /* @tp_dict@ */
2495 0, /* @tp_descr_get@ */
2496 0, /* @tp_descr_set@ */
2497 0, /* @tp_dictoffset@ */
2498 0, /* @tp_init@ */
2499 PyType_GenericAlloc, /* @tp_alloc@ */
2500 gfn_pynew, /* @tp_new@ */
3aa33042 2501 0, /* @tp_free@ */
d7ab1bab 2502 0 /* @tp_is_gc@ */
2503};
2504
2505/*----- Glue --------------------------------------------------------------*/
2506
810542b0
MW		 2507static const struct nameval consts[] = {
2508 CONST(MPW_MAX),
2509 { 0 }
2510};
2511
d7ab1bab 2512void mp_pyinit(void)
2513{
2514 INITTYPE(mp, root);
2515 INITTYPE(gf, root);
32507e35 2516 INITTYPE(mpmul, root);
d7ab1bab 2517 INITTYPE(mpmont, root);
2518 INITTYPE(mpbarrett, root);
2519 INITTYPE(mpreduce, root);
2520 INITTYPE(mpcrt, root);
2521 INITTYPE(gfreduce, root);
2522 INITTYPE(gfn, root);
d7ab1bab 2523}
2524
2525void mp_pyinsert(PyObject *mod)
2526{
2527 INSERT("MP", mp_pytype);
32507e35 2528 INSERT("MPMul", mpmul_pytype);
d7ab1bab 2529 INSERT("MPMont", mpmont_pytype);
2530 INSERT("MPBarrett", mpbarrett_pytype);
2531 INSERT("MPReduce", mpreduce_pytype);
2532 INSERT("MPCRT", mpcrt_pytype);
2533 INSERT("GF", gf_pytype);
2534 INSERT("GFReduce", gfreduce_pytype);
2535 INSERT("GFN", gfn_pytype);
810542b0 2536 setconstants(mod, consts);
d7ab1bab 2537}
2538
2539/*----- That's all, folks -------------------------------------------------*/
Catacomb cryptographic library -- Python bindings