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mp.c: Fix Jacobi symbol notation in docstring.
[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;
214 getecptout(&p, o);
215 x = MP_COPY(p.x);
216 EC_DESTROY(&p);
217 return (x);
218 } else if (GE_PYCHECK(o)) {
219 if ((x = G_TOINT(GE_G(o), MP_NEW, GE_X(o))) == 0)
220 return (0);
221 return (x);
222 } else if (PyInt_Check(o))
223 return (mp_fromlong(MP_NEW, PyInt_AS_LONG(o)));
224 else if ((l = PyNumber_Long(o)) != 0) {
f368b46e 225 x = mp_frompylong(l);
d7ab1bab 226 Py_DECREF(l);
227 return (x);
228 } else {
229 PyErr_Clear();
230 return (0);
231 }
232}
233
234mp *getmp(PyObject *o)
235{
236 mp *x = 0;
237 if (!o) return (0);
238 if ((x = tomp(o)) == 0) {
239 PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp",
240 o->ob_type->tp_name);
241 }
242 return (x);
243}
244
245int convmp(PyObject *o, void *p)
246{
247 mp *x;
248 if ((x = getmp(o)) == 0) return (0);
249 *(mp **)p = x;
250 return (1);
251}
252
253mp *getgf(PyObject *o)
254{
255 mp *x = 0;
256 if (!o) return (0);
257 if ((x = tomp(o)) == 0) {
258 PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf",
259 o->ob_type->tp_name);
260 }
261 return (x);
262}
263
264int convgf(PyObject *o, void *p)
265{
266 mp *x;
267 if ((x = getgf(o)) == 0) return (0);
268 *(mp **)p = x;
269 return (1);
270}
271
bf8910bd
MW		 272static mp *implicitmp(PyObject *o)
273{
274 if (!o ||
275 GF_PYCHECK(o) ||
276 ECPT_PYCHECK(o) ||
277 FE_PYCHECK(o) ||
278 GE_PYCHECK(o))
279 return (0);
280 return (tomp(o));
281}
282
283static mp *implicitgf(PyObject *o)
284{
285 if (!o ||
286 MP_PYCHECK(o) ||
287 ECPT_PYCHECK(o) ||
288 FE_PYCHECK(o) ||
289 GE_PYCHECK(o))
290 return (0);
291 return (tomp(o));
292}
293
d7ab1bab 294static int mpbinop(PyObject *x, PyObject *y, mp **xx, mp **yy)
295{
bf8910bd
MW		 296 if ((*xx = implicitmp(x)) == 0)
297 return (-1);
298 if ((*yy = implicitmp(y)) == 0) {
299 MP_DROP(*xx);
300 return (-1);
301 }
302 return (0);
303}
304
305static int gfbinop(PyObject *x, PyObject *y, mp **xx, mp **yy)
306{
307 if ((*xx = implicitgf(x)) == 0)
d7ab1bab 308 return (-1);
bf8910bd 309 if ((*yy = implicitgf(y)) == 0) {
d7ab1bab 310 MP_DROP(*xx);
311 return (-1);
312 }
313 return (0);
314}
315
316#define gf_and mp_and
317#define gf_or mp_or
318#define gf_xor mp_xor
319#define BINOP(pre, name) \
320 static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \
321 mp *xx, *yy, *zz; \
bf8910bd 322 if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
d7ab1bab 323 zz = pre##_##name(MP_NEW, xx, yy); \
324 MP_DROP(xx); MP_DROP(yy); \
325 return (pre##_pywrap(zz)); \
326 }
327BINOP(mp, add)
328BINOP(mp, sub)
329BINOP(mp, mul)
330BINOP(mp, and2c)
331BINOP(mp, or2c)
332BINOP(mp, xor2c)
333BINOP(gf, add)
334BINOP(gf, sub)
335BINOP(gf, mul)
336BINOP(gf, and)
337BINOP(gf, or)
338BINOP(gf, xor)
339#undef BINOP
340
341static mp *mp_abs(mp *d, mp *x)
342{
343 if (MP_NEGP(x))
344 return (mp_neg(d, x));
345 MP_COPY(x);
346 if (d) MP_DROP(d);
347 return (x);
348}
349
350#define UNOP(pre, name) \
351 static PyObject *pre##_py##name(PyObject *x) \
352 { return mp_pywrap(pre##_##name(MP_NEW, MP_X(x))); }
353UNOP(mp, neg)
354UNOP(mp, abs)
355UNOP(mp, not2c)
356#undef UNOP
357
358static PyObject *mp_pyid(PyObject *x) { RETURN_OBJ(x); }
359
360#define gf_lsr mp_lsr
361#define SHIFTOP(pre, name, rname) \
362 static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \
363 mp *xx, *yy; \
364 PyObject *z = 0; \
365 long n; \
bf8910bd 366 if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
bc243788 367 if (mp_tolong_checked(yy, &n, 1)) goto end; \
d7ab1bab 368 if (n < 0) \
369 z = pre##_pywrap(mp_##rname(MP_NEW, xx, -n)); \
370 else \
371 z = pre##_pywrap(mp_##name(MP_NEW, xx, n)); \
372 end: \
373 MP_DROP(xx); MP_DROP(yy); \
374 return (z); \
375 }
376SHIFTOP(mp, lsl2c, lsr2c)
377SHIFTOP(mp, lsr2c, lsl2c)
378SHIFTOP(gf, lsl, lsr)
379SHIFTOP(gf, lsr, lsl)
380#undef SHIFTOP
381
382#define DIVOP(pre, name, qq, rr, gather) \
383 static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \
384 mp *xx, *yy; \
385 PyObject *z = 0; \
386 INIT_##qq(q) INIT_##rr(r) \
bf8910bd 387 if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
d7ab1bab 388 if (MP_ZEROP(yy)) \
389 ZDIVERR("division by zero"); \
390 pre##_div(ARG_##qq(q), ARG_##rr(r), xx, yy); \
391 z = gather; \
392 end: \
393 MP_DROP(xx); MP_DROP(yy); \
394 return (z); \
395 }
396#define INIT_YES(p) mp *p = MP_NEW;
397#define INIT_NO(p)
398#define ARG_YES(p) &p
399#define ARG_NO(p) 0
400DIVOP(mp, divmod, YES, YES,
401 Py_BuildValue("(NN)", mp_pywrap(q), mp_pywrap(r)))
402DIVOP(mp, div, YES, NO, mp_pywrap(q))
403DIVOP(mp, mod, NO, YES, mp_pywrap(r))
404DIVOP(gf, divmod, YES, YES,
405 Py_BuildValue("(NN)", gf_pywrap(q), gf_pywrap(r)))
406DIVOP(gf, div, YES, NO, gf_pywrap(q))
407DIVOP(gf, mod, NO, YES, gf_pywrap(r))
408#undef INIT_YES
409#undef INIT_NO
410#undef ARG_YES
411#undef ARG_NO
412#undef DIVOP
413
414static mp *mp_modinv_checked(mp *d, mp *x, mp *p)
415{
416 mp *g = MP_NEW;
417 mp_gcd(&g, 0, &d, p, x);
418 if (!MP_EQ(g, MP_ONE)) {
419 MP_DROP(g); MP_DROP(d);
420 PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse");
421 return (0);
422 }
423 MP_DROP(g); return (d);
424}
425
426static PyObject *mp_pyexp(PyObject *x, PyObject *y, PyObject *z)
427{
428 mp *xx = 0, *yy = 0, *zz = 0;
429 mp *r = 0;
430 PyObject *rc = 0;
431
bf8910bd 432 if ((xx = implicitmp(x)) == 0 || (yy = implicitmp(y)) == 0 ||
d7ab1bab 433 (z && z != Py_None && (zz = tomp(z)) == 0)) {
434 mp_drop(xx); mp_drop(yy); mp_drop(zz);
435 RETURN_NOTIMPL;
436 }
437 if (!z || z == Py_None) {
438 if (MP_NEGP(yy)) VALERR("negative exponent");
439 r = mp_exp(MP_NEW, xx, yy);
440 } else {
441 if (!MP_POSP(zz)) VALERR("modulus must be positive");
442 if (MP_NEGP(yy)) {
443 if ((xx = mp_modinv_checked(xx, xx, zz)) == 0) goto end;
444 yy = mp_neg(yy, yy);
445 }
446 if (MP_ODDP(zz)) {
447 mpmont mm;
448 mpmont_create(&mm, zz);
449 r = mpmont_exp(&mm, MP_NEW, xx, yy);
450 mpmont_destroy(&mm);
451 } else {
452 mpbarrett mb;
453 mpbarrett_create(&mb, zz);
454 r = mpbarrett_exp(&mb, MP_NEW, xx, yy);
455 mpbarrett_destroy(&mb);
456 }
457 }
458 rc = mp_pywrap(r);
459end:
460 mp_drop(xx); mp_drop(yy); mp_drop(zz);
461 return (rc);
462}
463
464static mp *gf_modinv_checked(mp *d, mp *x, mp *p)
465{
466 mp *g = MP_NEW;
467 gf_gcd(&g, 0, &d, p, x);
468 if (!MP_EQ(g, MP_ONE)) {
469 MP_DROP(g); MP_DROP(d);
470 PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse");
471 return (0);
472 }
473 MP_DROP(g); return (d);
474}
475
476#define BASEOP(name, radix, pre) \
477 static PyObject *mp_py##name(PyObject *x) \
478 { return mp_topystring(MP_X(x), radix, 0, pre, 0); }
479BASEOP(oct, 8, "0");
480BASEOP(hex, 16, "0x");
481#undef BASEOP
482
483static int mp_pynonzerop(PyObject *x) { return !MP_ZEROP(MP_X(x)); }
484
485static PyObject *mp_pyint(PyObject *x)
486{
487 long l;
bc243788
MW		 488 if (!mp_tolong_checked(MP_X(x), &l, 0)) return (PyInt_FromLong(l));
489 else return mp_topylong(MP_X(x));
d7ab1bab 490}
491static PyObject *mp_pylong(PyObject *x)
f368b46e 492 { return (mp_topylong(MP_X(x))); }
d7ab1bab 493static PyObject *mp_pyfloat(PyObject *x)
494{
f368b46e 495 PyObject *l = mp_topylong(MP_X(x));
d7ab1bab 496 double f = PyLong_AsDouble(l);
497 Py_DECREF(l);
498 return (PyFloat_FromDouble(f));
499}
500
b2687a0a 501#define COERCE(pre, PRE) \
d7ab1bab 502 static int pre##_pycoerce(PyObject **x, PyObject **y) \
503 { \
504 mp *z; \
505 \
506 if (PRE##_PYCHECK(*y)) { \
507 Py_INCREF(*x); Py_INCREF(*y); \
508 return (0); \
509 } \
510 if ((z = tomp(*y)) != 0) { \
511 Py_INCREF(*x); \
512 *y = pre##_pywrap(z); \
513 return (0); \
514 } \
515 return (1); \
516 }
517COERCE(mp, MP)
518COERCE(gf, GF)
519#undef COERCE
520
521static int mp_pycompare(PyObject *x, PyObject *y)
522 { return mp_cmp(MP_X(x), MP_X(y)); }
523
524static PyObject *mp_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
525{
526 PyObject *x;
527 mp *z;
528 mp_pyobj *zz = 0;
529 int radix = 0;
530 char *kwlist[] = { "x", "radix", 0 };
531
f368b46e 532 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:new", kwlist, &x, &radix))
d7ab1bab 533 goto end;
534 if (MP_PYCHECK(x)) RETURN_OBJ(x);
f368b46e 535 if (!good_radix_p(radix, 1)) VALERR("bad radix");
d7ab1bab 536 if ((z = mp_frompyobject(x, radix)) == 0) {
537 PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp",
538 x->ob_type->tp_name);
539 goto end;
540 }
541 zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
542 zz->x = z;
543end:
544 return ((PyObject *)zz);
545}
546
be6df1c3 547long mphash(mp *x)
d7ab1bab 548{
be6df1c3
MW		 549 PyObject *l = mp_topylong(x);
550 long h = PyObject_Hash(l);
f368b46e 551 Py_DECREF(l); return (h);
d7ab1bab 552}
553
be6df1c3
MW		 554static long mp_pyhash(PyObject *me) { return (mphash(MP_X(me))); }
555
d7ab1bab 556static PyObject *mpmeth_jacobi(PyObject *me, PyObject *arg)
557{
558 mp *y = 0;
559 PyObject *z = 0;
560
561 if (!PyArg_ParseTuple(arg, "O&:jacobi", convmp, &y)) goto end;
562 z = PyInt_FromLong(mp_jacobi(y, MP_X(me)));
563end:
564 if (y) MP_DROP(y);
565 return (z);
566}
567
568#define BITOP(pre, name, c) \
569 static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \
570 { \
a1be89ad
MW		 571 unsigned long i; \
572 if (!PyArg_ParseTuple(arg, "O&:" #name, convulong, &i)) return (0); \
d7ab1bab 573 return (pre##_pywrap(mp_##name##c(MP_NEW, MP_X(me), i))); \
574 }
575BITOP(mp, setbit, 2c);
576BITOP(mp, clearbit, 2c);
b2687a0a 577BITOP(gf, setbit, );
d7ab1bab 578BITOP(gf, clearbit, );
579#undef BITOP
580
581static PyObject *mpmeth_testbit(PyObject *me, PyObject *arg)
582{
a1be89ad
MW		 583 unsigned long i;
584 if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0);
d7ab1bab 585 return (getbool(mp_testbit2c(MP_X(me), i)));
586}
587
588static PyObject *gfmeth_testbit(PyObject *me, PyObject *arg)
589{
a1be89ad
MW		 590 unsigned long i;
591 if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0);
d7ab1bab 592 return (getbool(mp_testbit(MP_X(me), i)));
593}
594
595static PyObject *mpmeth_odd(PyObject *me, PyObject *arg)
596{
597 mp *t;
598 size_t s;
599
600 if (!PyArg_ParseTuple(arg, ":odd")) return (0);
601 t = mp_odd(MP_NEW, MP_X(me), &s);
602 return (Py_BuildValue("(lN)", (long)s, mp_pywrap(t)));
603}
604
605static PyObject *mpmeth_sqr(PyObject *me, PyObject *arg)
606{
607 if (!PyArg_ParseTuple(arg, ":sqr")) return (0);
608 return (mp_pywrap(mp_sqr(MP_NEW, MP_X(me))));
609}
610
611static PyObject *mpmeth_sqrt(PyObject *me, PyObject *arg)
612{
613 if (!PyArg_ParseTuple(arg, ":sqrt")) return (0);
614 if (MP_NEGP(MP_X(me))) VALERR("negative root");
615 return (mp_pywrap(mp_sqrt(MP_NEW, MP_X(me))));
616end:
617 return (0);
618}
619
620static PyObject *mpmeth_gcd(PyObject *me, PyObject *arg)
621{
622 mp *y = 0, *zz = MP_NEW;
623 PyObject *z = 0;
624
625 if (!PyArg_ParseTuple(arg, "O&:gcd", convmp, &y)) goto end;
626 mp_gcd(&zz, 0, 0, MP_X(me), y);
627 z = mp_pywrap(zz);
628end:
629 if (y) MP_DROP(y);
630 return (z);
631}
632
633static PyObject *mpmeth_gcdx(PyObject *me, PyObject *arg)
634{
635 PyObject *z = 0;
636 mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW;
637
638 if (!PyArg_ParseTuple(arg, "O&:gcdx", convmp, &yy)) goto end;
639 mp_gcd(&zz, &uu, &vv, MP_X(me), yy);
640 z = Py_BuildValue("(NNN)",
641 mp_pywrap(zz), mp_pywrap(uu), mp_pywrap(vv));
642end:
643 if (yy) MP_DROP(yy);
644 return (z);
645}
646
647static PyObject *mpmeth_modinv(PyObject *me, PyObject *arg)
648{
649 PyObject *z = 0;
650 mp *yy = 0, *zz = MP_NEW;
651
652 if (!PyArg_ParseTuple(arg, "O&:modinv", convmp, &yy) ||
653 (zz = mp_modinv_checked(MP_NEW, yy, MP_X(me))) == 0)
654 goto end;
655 z = mp_pywrap(zz);
656end:
657 if (yy) MP_DROP(yy);
658 return (z);
659}
660
661static PyObject *mpmeth_tostring(PyObject *me, PyObject *arg, PyObject *kw)
662{
663 int radix = 10;
664 char *kwlist[] = { "radix", 0 };
665 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:tostring", kwlist, &radix))
666 goto end;
f368b46e 667 if (!good_radix_p(radix, 0)) VALERR("bad radix");
d7ab1bab 668 return (mp_topystring(MP_X(me), radix, 0, 0, 0));
669end:
670 return (0);
671}
672
673static PyObject *mpmeth_modsqrt(PyObject *me, PyObject *arg)
674{
675 PyObject *z = 0;
676 mp *yy = 0, *zz = MP_NEW;
677
678 if (!PyArg_ParseTuple(arg, "O&:modsqrt", convmp, &yy)) goto end;
679 if ((zz = mp_modsqrt(MP_NEW, yy, MP_X(me))) == 0)
680 VALERR("no modular square root");
681 z = mp_pywrap(zz);
682end:
683 if (yy) MP_DROP(yy);
684 return (z);
685}
686
d0d94587
MW		 687static PyObject *mpmeth_leastcongruent(PyObject *me, PyObject *arg)
688{
689 mp *z, *b, *m;
690 PyObject *rc = 0;
691
692 if (!PyArg_ParseTuple(arg, "O&O&:leastcongruent", convmp, &b, convmp, &m))
693 goto end;
694 z = mp_leastcongruent(MP_NEW, b, MP_X(me), m);
695 rc = mp_pywrap(z);
696end:
697 return (rc);
698}
699
d7ab1bab 700#define STOREOP(name, c) \
701 static PyObject *mpmeth_##name(PyObject *me, \
702 PyObject *arg, PyObject *kw) \
703 { \
704 long len = -1; \
705 char *kwlist[] = { "len", 0 }; \
706 PyObject *rc = 0; \
707 \
708 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|l:" #name, \
709 kwlist, &len)) \
710 goto end; \
711 if (len < 0) { \
712 len = mp_octets##c(MP_X(me)); \
713 if (!len) len = 1; \
714 } \
715 rc = bytestring_pywrap(0, len); \
716 mp_##name(MP_X(me), PyString_AS_STRING(rc), len); \
717 end: \
718 return (rc); \
719 }
720STOREOP(storel, )
721STOREOP(storeb, )
722STOREOP(storel2c, 2c)
723STOREOP(storeb2c, 2c)
724#undef STOREOP
725
726#define BUFOP(ty, pyty) \
727 static PyObject *meth__##pyty##_frombuf(PyObject *me, PyObject *arg) \
728 { \
729 buf b; \
730 char *p; \
6b54260d 731 Py_ssize_t sz; \
d7ab1bab 732 PyObject *rc = 0; \
733 mp *x; \
734 \
735 if (!PyArg_ParseTuple(arg, "Os#:frombuf", &me, &p, &sz)) goto end; \
736 buf_init(&b, p, sz); \
737 if ((x = buf_getmp(&b)) == 0) VALERR("malformed data"); \
738 rc = Py_BuildValue("(NN)", ty##_pywrap(x), \
739 bytestring_pywrapbuf(&b)); \
740 end: \
741 return (rc); \
742 }
743BUFOP(mp, MP)
744BUFOP(gf, GF)
745#undef BUFOP
746
747static PyObject *mpmeth_tobuf(PyObject *me, PyObject *arg)
748{
749 buf b;
750 PyObject *rc;
751 mp *x;
752 size_t n;
753
754 if (!PyArg_ParseTuple(arg, ":tobuf")) return (0);
755 x = MP_X(me);
756 n = mp_octets(x) + 3;
757 rc = bytestring_pywrap(0, n);
758 buf_init(&b, PyString_AS_STRING(rc), n);
759 buf_putmp(&b, x);
760 assert(BOK(&b));
761 _PyString_Resize(&rc, BLEN(&b));
762 return (rc);
763}
764
765static PyObject *mpmeth_primep(PyObject *me, PyObject *arg, PyObject *kw)
766{
767 grand *r = &rand_global;
768 char *kwlist[] = { "rng", 0 };
769 PyObject *rc = 0;
770
771 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&", kwlist, convgrand, &r))
772 goto end;
773 rc = getbool(pgen_primep(MP_X(me), r));
774end:
775 return (rc);
776}
777
778static PyObject *mpget_nbits(PyObject *me, void *hunoz)
779 { return (PyInt_FromLong(mp_bits(MP_X(me)))); }
780
781static PyObject *mpget_noctets(PyObject *me, void *hunoz)
782 { return (PyInt_FromLong(mp_octets(MP_X(me)))); }
783
784static PyObject *mpget_noctets2c(PyObject *me, void *hunoz)
785 { return (PyInt_FromLong(mp_octets2c(MP_X(me)))); }
786
787static PyGetSetDef mp_pygetset[] = {
788#define GETSETNAME(op, func) mp##op##_##func
789 GET (nbits, "X.nbits -> bit length of X")
790 GET (noctets, "X.noctets -> octet length of X")
791 GET (noctets2c, "X.noctets2c -> two's complement octet length of X")
792#undef GETSETNAME
793 { 0 }
794};
795
796static PyMethodDef mp_pymethods[] = {
797#define METHNAME(func) mpmeth_##func
c3060669 798 METH (jacobi, "X.jacobi(Y) -> Jacobi symbol (Y|X) (NB inversion!)")
d7ab1bab 799 METH (setbit, "X.setbit(N) -> X with bit N set")
800 METH (clearbit, "X.clearbit(N) -> X with bit N clear")
801 METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
802 METH (odd, "X.odd() -> S, T where X = 2^S T with T odd")
803 METH (sqr, "X.sqr() -> X^2")
804 METH (sqrt, "X.sqrt() -> largest integer <= sqrt(X)")
805 METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
806 METH (gcdx,
807 "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
808 METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
809 METH (modsqrt, "X.modsqrt(Y) -> square root of Y mod X, if X prime")
d0d94587
MW		 810 METH (leastcongruent,
811 "X.leastcongruent(B, M) -> smallest Z >= B with Z == X (mod M)")
d7ab1bab 812 KWMETH(primep, "X.primep(rng = rand) -> true/false if X is prime")
813 KWMETH(tostring, "X.tostring(radix = 10) -> STR")
814 KWMETH(storel, "X.storel(len = -1) -> little-endian bytes")
815 KWMETH(storeb, "X.storeb(len = -1) -> big-endian bytes")
816 KWMETH(storel2c,
817 "X.storel2c(len = -1) -> little-endian bytes, two's complement")
818 KWMETH(storeb2c,
819 "X.storeb2c(len = -1) -> big-endian bytes, two's complement")
820 METH (tobuf, "X.tobuf() -> buffer format")
821#undef METHNAME
822 { 0 }
823};
824
825static PyNumberMethods mp_pynumber = {
826 mp_pyadd, /* @nb_add@ */
827 mp_pysub, /* @nb_subtract@ */
828 mp_pymul, /* @nb_multiply@ */
829 0, /* @nb_divide@ */
830 mp_pymod, /* @nb_remainder@ */
831 mp_pydivmod, /* @nb_divmod@ */
832 mp_pyexp, /* @nb_power@ */
833 mp_pyneg, /* @nb_negative@ */
834 mp_pyid, /* @nb_positive@ */
835 mp_pyabs, /* @nb_absolute@ */
836 mp_pynonzerop, /* @nb_nonzero@ */
837 mp_pynot2c, /* @nb_invert@ */
838 mp_pylsl2c, /* @nb_lshift@ */
839 mp_pylsr2c, /* @nb_rshift@ */
840 mp_pyand2c, /* @nb_and@ */
841 mp_pyxor2c, /* @nb_xor@ */
842 mp_pyor2c, /* @nb_or@ */
843 mp_pycoerce, /* @nb_coerce@ */
844 mp_pyint, /* @nb_int@ */
845 mp_pylong, /* @nb_long@ */
846 mp_pyfloat, /* @nb_float@ */
847 mp_pyoct, /* @nb_oct@ */
848 mp_pyhex, /* @nb_hex@ */
849
850 0, /* @nb_inplace_add@ */
851 0, /* @nb_inplace_subtract@ */
852 0, /* @nb_inplace_multiply@ */
853 0, /* @nb_inplace_divide@ */
854 0, /* @nb_inplace_remainder@ */
855 0, /* @nb_inplace_power@ */
856 0, /* @nb_inplace_lshift@ */
857 0, /* @nb_inplace_rshift@ */
858 0, /* @nb_inplace_and@ */
859 0, /* @nb_inplace_xor@ */
860 0, /* @nb_inplace_or@ */
861
862 mp_pydiv, /* @nb_floor_divide@ */
863 0, /* @nb_true_divide@ */
864 0, /* @nb_inplace_floor_divide@ */
865 0, /* @nb_inplace_true_divide@ */
866};
867
868static PyTypeObject mp_pytype_skel = {
6d4db0bf 869 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 870 "MP", /* @tp_name@ */
d7ab1bab 871 sizeof(mp_pyobj), /* @tp_basicsize@ */
872 0, /* @tp_itemsize@ */
873
874 mp_pydealloc, /* @tp_dealloc@ */
875 0, /* @tp_print@ */
876 0, /* @tp_getattr@ */
877 0, /* @tp_setattr@ */
878 mp_pycompare, /* @tp_compare@ */
879 mp_pyrepr, /* @tp_repr@ */
880 &mp_pynumber, /* @tp_as_number@ */
881 0, /* @tp_as_sequence@ */
882 0, /* @tp_as_mapping@ */
883 mp_pyhash, /* @tp_hash@ */
884 0, /* @tp_call@ */
885 mp_pystr, /* @tp_str@ */
886 0, /* @tp_getattro@ */
887 0, /* @tp_setattro@ */
888 0, /* @tp_as_buffer@ */
889 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
890 Py_TPFLAGS_CHECKTYPES |
891 Py_TPFLAGS_BASETYPE,
892
893 /* @tp_doc@ */
894"Multiprecision integers, similar to `long' but more efficient and\n\
75e81374
MW		 895versatile. Support all the standard arithmetic operations, with\n\
896implicit conversions from `PrimeFilter', and other objects which\n\
897convert to `long'.\n\
d7ab1bab 898\n\
deed09b2 899Constructor MP(X, radix = R) attempts to convert X to an `MP'. If\n\
d7ab1bab 900X is a string, it's read in radix-R form, or we look for a prefix\n\
75e81374
MW		 901if R = 0. Other acceptable things are field elements, elliptic curve\n\
902points, group elements, Python `int' and `long' objects, and anything\n\
903with an integer conversion.\n\
d7ab1bab 904\n\
905Notes:\n\
906\n\
907 * Use `//' for division. MPs don't have `/' division.",
908
909 0, /* @tp_traverse@ */
910 0, /* @tp_clear@ */
911 0, /* @tp_richcompare@ */
912 0, /* @tp_weaklistoffset@ */
913 0, /* @tp_iter@ */
963a6148 914 0, /* @tp_iternext@ */
d7ab1bab 915 mp_pymethods, /* @tp_methods@ */
916 0, /* @tp_members@ */
917 mp_pygetset, /* @tp_getset@ */
918 0, /* @tp_base@ */
919 0, /* @tp_dict@ */
920 0, /* @tp_descr_get@ */
921 0, /* @tp_descr_set@ */
922 0, /* @tp_dictoffset@ */
923 0, /* @tp_init@ */
924 PyType_GenericAlloc, /* @tp_alloc@ */
925 mp_pynew, /* @tp_new@ */
3aa33042 926 0, /* @tp_free@ */
d7ab1bab 927 0 /* @tp_is_gc@ */
928};
929
930static PyObject *meth__MP_fromstring(PyObject *me,
bf8910bd 931 PyObject *arg, PyObject *kw)
d7ab1bab 932{
933 int r = 0;
934 char *p;
6b54260d 935 Py_ssize_t len;
d7ab1bab 936 PyObject *z = 0;
937 mp *zz;
938 mptext_stringctx sc;
939 char *kwlist[] = { "class", "x", "radix", 0 };
940
941 if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring",
942 kwlist, &me, &p, &len, &r))
943 goto end;
f368b46e 944 if (!good_radix_p(r, 1)) VALERR("bad radix");
d7ab1bab 945 sc.buf = p; sc.lim = p + len;
946 if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0)
80f7cd89 947 VALERR("bad integer");
6b54260d
MW		 948 z = Py_BuildValue("(Ns#)", mp_pywrap(zz),
949 sc.buf, (Py_ssize_t)(sc.lim - sc.buf));
d7ab1bab 950end:
951 return (z);
952}
953
9f49c854
MW		 954static PyObject *meth__MP_factorial(PyObject *me, PyObject *arg)
955{
956 unsigned long i;
957 mp *x;
958 if (!PyArg_ParseTuple(arg, "OO&:factorial", &me, convulong, &i))
959 return (0);
960 x = mp_factorial(i);
961 return mp_pywrap(x);
962}
963
6313f40e
MW		 964static PyObject *meth__MP_fibonacci(PyObject *me, PyObject *arg)
965{
966 long i;
967 mp *x;
968 if (!PyArg_ParseTuple(arg, "Ol:fibonacci", &me, &i)) return (0);
969 x = mp_fibonacci(i);
970 return mp_pywrap(x);
971}
972
32507e35
MW		 973#define LOADOP(pre, py, name) \
974 static PyObject *meth__##py##_##name(PyObject *me, PyObject *arg) \
975 { \
976 char *p; \
6b54260d 977 Py_ssize_t len; \
32507e35
MW		 978 if (!PyArg_ParseTuple(arg, "Os#:" #name, &me, &p, &len)) return (0); \
979 return (pre##_pywrap(mp_##name(MP_NEW, p, len))); \
980 }
981LOADOP(mp, MP, loadl)
982LOADOP(mp, MP, loadb)
983LOADOP(mp, MP, loadl2c)
984LOADOP(mp, MP, loadb2c)
985LOADOP(gf, GF, loadl)
986LOADOP(gf, GF, loadb)
987#undef LOADOP
988
989/*----- Products of small integers ----------------------------------------*/
990
991typedef struct mpmul_pyobj {
992 PyObject_HEAD
993 int livep;
994 mpmul mm;
995} mpmul_pyobj;
996
997#define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep)
998#define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm)
999
1000static void mpmul_pydealloc(PyObject *me)
1001{
1002 if (MPMUL_LIVEP(me))
1003 mp_drop(mpmul_done(MPMUL_PY(me)));
1004 FREEOBJ(me);
1005}
1006
1007static PyObject *mmmeth_factor(PyObject *me, PyObject *arg)
d7ab1bab 1008{
d7ab1bab 1009 PyObject *q, *i;
1010 mp *x;
1011
32507e35
MW		 1012 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
1013 if (PyTuple_Size(arg) != 1)
d7ab1bab 1014 i = PyObject_GetIter(arg);
32507e35
MW		 1015 else {
1016 if ((q = PyTuple_GetItem(arg, 0)) == 0) goto end;
d7ab1bab 1017 if ((i = PyObject_GetIter(q)) == 0) {
1018 PyErr_Clear(); /* that's ok */
1019 i = PyObject_GetIter(arg);
1020 }
1021 }
32507e35 1022 if (!i) goto end;
d7ab1bab 1023 while ((q = PyIter_Next(i)) != 0) {
1024 x = getmp(q); Py_DECREF(q); if (!x) {
d7ab1bab 1025 Py_DECREF(i);
32507e35 1026 goto end;
d7ab1bab 1027 }
32507e35 1028 mpmul_add(MPMUL_PY(me), x);
d7ab1bab 1029 MP_DROP(x);
1030 }
d7ab1bab 1031 Py_DECREF(i);
32507e35
MW		 1032 RETURN_ME;
1033end:
1034 return (0);
1035}
1036
1037static PyObject *mmmeth_done(PyObject *me, PyObject *arg)
1038{
1039 mp *x;
1040
1041 if (!PyArg_ParseTuple(arg, ":done")) goto end;
1042 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
1043 x = mpmul_done(MPMUL_PY(me));
1044 MPMUL_LIVEP(me) = 0;
d7ab1bab 1045 return (mp_pywrap(x));
32507e35
MW		 1046end:
1047 return (0);
d7ab1bab 1048}
1049
32507e35
MW		 1050static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1051{
1052 mpmul_pyobj *mm;
1053
1054 if (kw) TYERR("keyword arguments not allowed here");
1055 mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0);
1056 mpmul_init(&mm->mm);
1057 mm->livep = 1;
1058 if (mmmeth_factor((PyObject *)mm, arg) == 0) {
1059 Py_DECREF(mm);
1060 goto end;
d7ab1bab 1061 }
32507e35
MW		 1062 return ((PyObject *)mm);
1063end:
1064 return (0);
1065}
1066
1067static PyObject *mmget_livep(PyObject *me, void *hunoz)
1068 { return (getbool(MPMUL_LIVEP(me))); }
1069
1070static PyGetSetDef mpmul_pygetset[] = {
1071#define GETSETNAME(op, name) mm##op##_##name
1072 GET (livep, "MM.livep -> flag: object still valid?")
1073#undef GETSETNAME
1074 { 0 }
1075};
1076
1077static PyMethodDef mpmul_pymethods[] = {
1078#define METHNAME(name) mmmeth_##name
1079 METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)")
1080 METH (done, "MM.done() -> PRODUCT")
1081#undef METHNAME
1082 { 0 }
1083};
1084
1085static PyTypeObject *mpmul_pytype, mpmul_pytype_skel = {
1086 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1087 "MPMul", /* @tp_name@ */
32507e35
MW		 1088 sizeof(mpmul_pyobj), /* @tp_basicsize@ */
1089 0, /* @tp_itemsize@ */
1090
1091 mpmul_pydealloc, /* @tp_dealloc@ */
1092 0, /* @tp_print@ */
1093 0, /* @tp_getattr@ */
1094 0, /* @tp_setattr@ */
1095 0, /* @tp_compare@ */
1096 0, /* @tp_repr@ */
1097 0, /* @tp_as_number@ */
1098 0, /* @tp_as_sequence@ */
1099 0, /* @tp_as_mapping@ */
1100 0, /* @tp_hash@ */
1101 0, /* @tp_call@ */
1102 0, /* @tp_str@ */
1103 0, /* @tp_getattro@ */
1104 0, /* @tp_setattro@ */
1105 0, /* @tp_as_buffer@ */
1106 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1107 Py_TPFLAGS_BASETYPE,
1108
1109 /* @tp_doc@ */
1110"An object for multiplying many small integers.",
1111
1112 0, /* @tp_traverse@ */
1113 0, /* @tp_clear@ */
1114 0, /* @tp_richcompare@ */
1115 0, /* @tp_weaklistoffset@ */
1116 0, /* @tp_iter@ */
1117 0, /* @tp_iternext@ */
1118 mpmul_pymethods, /* @tp_methods@ */
1119 0, /* @tp_members@ */
1120 mpmul_pygetset, /* @tp_getset@ */
1121 0, /* @tp_base@ */
1122 0, /* @tp_dict@ */
1123 0, /* @tp_descr_get@ */
1124 0, /* @tp_descr_set@ */
1125 0, /* @tp_dictoffset@ */
1126 0, /* @tp_init@ */
1127 PyType_GenericAlloc, /* @tp_alloc@ */
1128 mpmul_pynew, /* @tp_new@ */
1129 0, /* @tp_free@ */
1130 0 /* @tp_is_gc@ */
1131};
d7ab1bab 1132
1133/*----- Montgomery reduction ----------------------------------------------*/
1134
1135typedef struct mpmont_pyobj {
1136 PyObject_HEAD
1137 mpmont mm;
1138} mpmont_pyobj;
1139
1140#define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm)
1141
1142static PyObject *mmmeth_int(PyObject *me, PyObject *arg)
1143{
1144 PyObject *z = 0;
1145 mp *yy = 0;
1146 mpmont *mm = MPMONT_PY(me);
1147
1148 if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy))
1149 goto end;
1150 mp_div(0, &yy, yy, mm->m);
1151 z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2));
1152end:
1153 if (yy) MP_DROP(yy);
1154 return (z);
1155}
1156
1157static PyObject *mmmeth_mul(PyObject *me, PyObject *arg)
1158{
1159 PyObject *rc = 0;
1160 mp *yy = 0, *zz = 0;
1161
1162 if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz))
1163 goto end;
1164 rc = mp_pywrap(mpmont_mul(MPMONT_PY(me), MP_NEW, yy, zz));
1165end:
1166 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1167 return (rc);
1168}
1169
1170static PyObject *mmmeth_exp(PyObject *me, PyObject *arg)
1171{
1172 PyObject *rc = 0;
1173 mp *yy = 0, *zz = 0;
1174
1175 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1176 goto end;
1177 if (MP_NEGP(zz)) {
1178 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1179 zz = mp_neg(zz, zz);
1180 }
1181 rc = mp_pywrap(mpmont_exp(MPMONT_PY(me), MP_NEW, yy, zz));
1182end:
1183 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1184 return (rc);
1185}
1186
1187static PyObject *mmmeth_expr(PyObject *me, PyObject *arg)
1188{
1189 PyObject *rc = 0;
1190 mp *yy = 0, *zz = 0;
1191
1192 if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz))
1193 goto end;
1194 if (MP_NEGP(zz)) {
1195 yy = mpmont_reduce(MPMONT_PY(me), yy, yy);
1196 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1197 yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2);
1198 zz = mp_neg(zz, zz);
1199 }
1200 rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz));
1201end:
1202 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1203 return (rc);
1204}
1205
1206static PyObject *mm_mexpr_id(PyObject *me)
1207 { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); }
1208
1209static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1210{
1211 mp *xx = 0, *yy = 0;
1212 mp_expfactor *f = p;
1213 mpmont *mm = MPMONT_PY(me);
1214
1215 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1216 goto fail;
1217 if (MP_NEGP(yy)) {
1218 xx = mpmont_reduce(mm, xx, xx);
1219 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1220 goto fail;
1221 xx = mpmont_mul(mm, xx, xx, mm->r2);
1222 yy = mp_neg(yy, yy);
1223 }
1224 f->base = xx;
1225 f->exp = yy;
1226 return (0);
1227
1228fail:
1229 mp_drop(xx); mp_drop(yy);
1230 return (-1);
1231}
1232
1233static PyObject *mm_mexpr(PyObject *me, void *v, int n)
1234 { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1235
d7ab1bab 1236static void mp_mexp_drop(void *p)
1237{
1238 mp_expfactor *f = p;
1239 mp_drop(f->base);
1240 mp_drop(f->exp);
1241}
1242
1243static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg)
1244{
1245 return mexp_common(me, arg, sizeof(mp_expfactor),
1246 mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop);
1247}
1248
1249static PyObject *mp_mexp_id(PyObject *me)
1250 { return mp_pywrap(MP_ONE); }
1251
1252static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1253{
1254 mp *xx = 0, *yy = 0;
1255 mp_expfactor *f = p;
1256
1257 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1258 goto fail;
1259 if (MP_NEGP(yy)) {
1260 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1261 goto fail;
1262 yy = mp_neg(yy, yy);
1263 }
1264 f->base = xx;
1265 f->exp = yy;
1266 return (0);
1267
1268fail:
1269 mp_drop(xx); mp_drop(yy);
1270 return (-1);
1271}
1272
1273static PyObject *mm_mexp(PyObject *me, void *v, int n)
1274 { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1275
d7ab1bab 1276static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg)
1277{
1278 return mexp_common(me, arg, sizeof(mp_expfactor),
1279 mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop);
1280}
1281
1282#define mmmeth_ext mmmeth_reduce
1283static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg)
1284{
1285 PyObject *z = 0;
1286 mp *yy = 0;
1287
1288 if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end;
1289 z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy));
1290end:
1291 return (z);
1292}
1293
1294static void mpmont_pydealloc(PyObject *me)
1295{
1296 mpmont_destroy(MPMONT_PY(me));
3aa33042 1297 FREEOBJ(me);
d7ab1bab 1298}
1299
1300static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1301{
1302 mpmont_pyobj *mm = 0;
1303 char *kwlist[] = { "m", 0 };
1304 mp *xx = 0;
1305
1306 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1307 goto end;
1308 if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd");
1309 mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0);
1310 mpmont_create(&mm->mm, xx);
1311end:
1312 if (xx) MP_DROP(xx);
1313 return ((PyObject *)mm);
1314}
1315
1316static PyObject *mmget_m(PyObject *me, void *hunoz)
1317 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); }
1318
1319static PyObject *mmget_r(PyObject *me, void *hunoz)
1320 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); }
1321
1322static PyObject *mmget_r2(PyObject *me, void *hunoz)
1323 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); }
1324
1325static PyGetSetDef mpmont_pygetset[] = {
1326#define GETSETNAME(op, name) mm##op##_##name
1327 GET (m, "M.m -> modulus for reduction")
1328 GET (r, "M.r -> multiplicative identity")
1329 GET (r2, "M.r2 -> M.r^2, Montgomerization factor")
1330#undef GETSETNAME
1331 { 0 }
1332};
1333
1334static PyMethodDef mpmont_pymethods[] = {
1335#define METHNAME(name) mmmeth_##name
986bcc44 1336 METH (int, "M.int(X) -> XR")
d7ab1bab 1337 METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y")
1338 METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m")
1339 METH (mexpr, "\
986bcc44 1340M.mexpr([(XR0, N0), (XR1, N1), ...]) = ZR where Z = X0^N0 X1^N1 ... mod M.m\n\
d7ab1bab 1341\t(the list may be flattened if this more convenient.)")
1342 METH (reduce, "M.reduce(XR) -> X")
1343 METH (ext, "M.ext(XR) -> X")
1344 METH (exp, "M.exp(X, N) -> X^N mod M.m")
1345 METH (mexp, "\
986bcc44 1346M.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 ... mod M.m\n\
d7ab1bab 1347\t(the list may be flattened if this more convenient.)")
1348#undef METHNAME
1349 { 0 }
1350};
1351
1352static PyTypeObject *mpmont_pytype, mpmont_pytype_skel = {
6d4db0bf 1353 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1354 "MPMont", /* @tp_name@ */
d7ab1bab 1355 sizeof(mpmont_pyobj), /* @tp_basicsize@ */
1356 0, /* @tp_itemsize@ */
1357
1358 mpmont_pydealloc, /* @tp_dealloc@ */
1359 0, /* @tp_print@ */
1360 0, /* @tp_getattr@ */
1361 0, /* @tp_setattr@ */
1362 0, /* @tp_compare@ */
1363 0, /* @tp_repr@ */
1364 0, /* @tp_as_number@ */
1365 0, /* @tp_as_sequence@ */
1366 0, /* @tp_as_mapping@ */
1367 0, /* @tp_hash@ */
1368 0, /* @tp_call@ */
1369 0, /* @tp_str@ */
1370 0, /* @tp_getattro@ */
1371 0, /* @tp_setattro@ */
1372 0, /* @tp_as_buffer@ */
1373 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1374 Py_TPFLAGS_BASETYPE,
1375
1376 /* @tp_doc@ */
1377"A Montgomery reduction context.",
1378
1379 0, /* @tp_traverse@ */
1380 0, /* @tp_clear@ */
1381 0, /* @tp_richcompare@ */
1382 0, /* @tp_weaklistoffset@ */
1383 0, /* @tp_iter@ */
963a6148 1384 0, /* @tp_iternext@ */
d7ab1bab 1385 mpmont_pymethods, /* @tp_methods@ */
1386 0, /* @tp_members@ */
1387 mpmont_pygetset, /* @tp_getset@ */
1388 0, /* @tp_base@ */
1389 0, /* @tp_dict@ */
1390 0, /* @tp_descr_get@ */
1391 0, /* @tp_descr_set@ */
1392 0, /* @tp_dictoffset@ */
1393 0, /* @tp_init@ */
1394 PyType_GenericAlloc, /* @tp_alloc@ */
1395 mpmont_pynew, /* @tp_new@ */
3aa33042 1396 0, /* @tp_free@ */
d7ab1bab 1397 0 /* @tp_is_gc@ */
1398};
1399
1400/*----- Barrett reduction -------------------------------------------------*/
1401
1402typedef struct mpbarrett_pyobj {
1403 PyObject_HEAD
1404 mpbarrett mb;
1405} mpbarrett_pyobj;
1406
1407#define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb)
1408
1409static PyObject *mbmeth_exp(PyObject *me, PyObject *arg)
1410{
1411 PyObject *rc = 0;
1412 mp *yy = 0, *zz = 0;
1413
1414 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1415 goto end;
1416 if (MP_NEGP(zz)) {
1417 if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end;
1418 zz = mp_neg(zz, zz);
1419 }
1420 rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz));
1421end:
1422 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1423 return (rc);
1424}
1425
1426static PyObject *mb_mexp(PyObject *me, void *v, int n)
1427 { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); }
b2687a0a 1428
d7ab1bab 1429static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg)
1430{
1431 return mexp_common(me, arg, sizeof(mp_expfactor),
1432 mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop);
1433}
1434
1435static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg)
1436{
1437 PyObject *z = 0;
1438 mp *yy = 0;
1439
1440 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy))
1441 goto end;
1442 z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy));
1443end:
1444 return (z);
1445}
1446
1447static void mpbarrett_pydealloc(PyObject *me)
1448{
1449 mpbarrett_destroy(MPBARRETT_PY(me));
3aa33042 1450 FREEOBJ(me);
d7ab1bab 1451}
1452
1453static PyObject *mpbarrett_pynew(PyTypeObject *ty,
1454 PyObject *arg, PyObject *kw)
1455{
1456 mpbarrett_pyobj *mb = 0;
1457 char *kwlist[] = { "m", 0 };
1458 mp *xx = 0;
1459
1460 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1461 goto end;
1462 if (!MP_POSP(xx)) VALERR("m must be positive");
1463 mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0);
1464 mpbarrett_create(&mb->mb, xx);
1465end:
1466 if (xx) MP_DROP(xx);
1467 return ((PyObject *)mb);
1468}
1469
1470static PyObject *mbget_m(PyObject *me, void *hunoz)
1471 { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); }
1472
1473static PyGetSetDef mpbarrett_pygetset[] = {
1474#define GETSETNAME(op, name) mb##op##_##name
1475 GET (m, "B.m -> modulus for reduction")
1476#undef GETSETNAME
1477 { 0 }
1478};
1479
1480static PyMethodDef mpbarrett_pymethods[] = {
1481#define METHNAME(name) mbmeth_##name
1482 METH (reduce, "B.reduce(X) -> X mod B.m")
1483 METH (exp, "B.exp(X, N) -> X^N mod B.m")
1484 METH (mexp, "\
986bcc44 1485B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 ... mod B.m\n\
d7ab1bab 1486\t(the list may be flattened if this more convenient.)")
1487#undef METHNAME
1488 { 0 }
1489};
1490
1491static PyTypeObject *mpbarrett_pytype, mpbarrett_pytype_skel = {
6d4db0bf 1492 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1493 "MPBarrett", /* @tp_name@ */
d7ab1bab 1494 sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */
1495 0, /* @tp_itemsize@ */
1496
1497 mpbarrett_pydealloc, /* @tp_dealloc@ */
1498 0, /* @tp_print@ */
1499 0, /* @tp_getattr@ */
1500 0, /* @tp_setattr@ */
1501 0, /* @tp_compare@ */
1502 0, /* @tp_repr@ */
1503 0, /* @tp_as_number@ */
1504 0, /* @tp_as_sequence@ */
1505 0, /* @tp_as_mapping@ */
1506 0, /* @tp_hash@ */
1507 0, /* @tp_call@ */
1508 0, /* @tp_str@ */
1509 0, /* @tp_getattro@ */
1510 0, /* @tp_setattro@ */
1511 0, /* @tp_as_buffer@ */
1512 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1513 Py_TPFLAGS_BASETYPE,
1514
1515 /* @tp_doc@ */
1516"A Barrett reduction context.",
1517
1518 0, /* @tp_traverse@ */
1519 0, /* @tp_clear@ */
1520 0, /* @tp_richcompare@ */
1521 0, /* @tp_weaklistoffset@ */
1522 0, /* @tp_iter@ */
963a6148 1523 0, /* @tp_iternext@ */
d7ab1bab 1524 mpbarrett_pymethods, /* @tp_methods@ */
1525 0, /* @tp_members@ */
1526 mpbarrett_pygetset, /* @tp_getset@ */
1527 0, /* @tp_base@ */
1528 0, /* @tp_dict@ */
1529 0, /* @tp_descr_get@ */
1530 0, /* @tp_descr_set@ */
1531 0, /* @tp_dictoffset@ */
1532 0, /* @tp_init@ */
1533 PyType_GenericAlloc, /* @tp_alloc@ */
1534 mpbarrett_pynew, /* @tp_new@ */
3aa33042 1535 0, /* @tp_free@ */
d7ab1bab 1536 0 /* @tp_is_gc@ */
1537};
1538
1539/*----- Nice prime reduction ----------------------------------------------*/
1540
1541typedef struct mpreduce_pyobj {
1542 PyObject_HEAD
1543 mpreduce mr;
1544} mpreduce_pyobj;
1545
1546#define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr)
1547
1548static PyObject *mrmeth_exp(PyObject *me, PyObject *arg)
1549{
1550 PyObject *rc = 0;
1551 mp *yy = 0, *zz = 0;
1552
1553 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1554 goto end;
1555 if (MP_NEGP(zz)) {
1556 if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end;
1557 zz = mp_neg(zz, zz);
1558 }
1559 rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz));
1560end:
1561 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1562 return (rc);
1563}
1564
1565static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg)
1566{
1567 PyObject *z = 0;
1568 mp *yy = 0;
1569
1570 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end;
1571 z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy));
1572end:
1573 return (z);
1574}
1575
1576static void mpreduce_pydealloc(PyObject *me)
1577{
1578 mpreduce_destroy(MPREDUCE_PY(me));
3aa33042 1579 FREEOBJ(me);
d7ab1bab 1580}
1581
1582static PyObject *mpreduce_pynew(PyTypeObject *ty,
1583 PyObject *arg, PyObject *kw)
1584{
1585 mpreduce_pyobj *mr = 0;
1586 mpreduce r;
1587 char *kwlist[] = { "m", 0 };
1588 mp *xx = 0;
1589
1590 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1591 goto end;
1592 if (!MP_POSP(xx)) VALERR("m must be positive");
1593 if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)");
1594 mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0);
1595 mr->mr = r;
1596end:
1597 if (xx) MP_DROP(xx);
1598 return ((PyObject *)mr);
1599}
1600
1601static PyObject *mrget_m(PyObject *me, void *hunoz)
1602 { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); }
1603
1604static PyGetSetDef mpreduce_pygetset[] = {
1605#define GETSETNAME(op, name) mr##op##_##name
1606 GET (m, "R.m -> modulus for reduction")
1607#undef GETSETNAME
1608 { 0 }
1609};
1610
1611static PyMethodDef mpreduce_pymethods[] = {
1612#define METHNAME(name) mrmeth_##name
1613 METH (reduce, "R.reduce(X) -> X mod B.m")
1614 METH (exp, "R.exp(X, N) -> X^N mod B.m")
1615#undef METHNAME
1616 { 0 }
1617};
1618
1619static PyTypeObject *mpreduce_pytype, mpreduce_pytype_skel = {
6d4db0bf 1620 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1621 "MPReduce", /* @tp_name@ */
d7ab1bab 1622 sizeof(mpreduce_pyobj), /* @tp_basicsize@ */
1623 0, /* @tp_itemsize@ */
1624
1625 mpreduce_pydealloc, /* @tp_dealloc@ */
1626 0, /* @tp_print@ */
1627 0, /* @tp_getattr@ */
1628 0, /* @tp_setattr@ */
1629 0, /* @tp_compare@ */
1630 0, /* @tp_repr@ */
1631 0, /* @tp_as_number@ */
1632 0, /* @tp_as_sequence@ */
1633 0, /* @tp_as_mapping@ */
1634 0, /* @tp_hash@ */
1635 0, /* @tp_call@ */
1636 0, /* @tp_str@ */
1637 0, /* @tp_getattro@ */
1638 0, /* @tp_setattro@ */
1639 0, /* @tp_as_buffer@ */
1640 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1641 Py_TPFLAGS_BASETYPE,
1642
1643 /* @tp_doc@ */
1644"A reduction context for reduction modulo primes of special form.",
1645
1646 0, /* @tp_traverse@ */
1647 0, /* @tp_clear@ */
1648 0, /* @tp_richcompare@ */
1649 0, /* @tp_weaklistoffset@ */
1650 0, /* @tp_iter@ */
963a6148 1651 0, /* @tp_iternext@ */
d7ab1bab 1652 mpreduce_pymethods, /* @tp_methods@ */
1653 0, /* @tp_members@ */
1654 mpreduce_pygetset, /* @tp_getset@ */
1655 0, /* @tp_base@ */
1656 0, /* @tp_dict@ */
1657 0, /* @tp_descr_get@ */
1658 0, /* @tp_descr_set@ */
1659 0, /* @tp_dictoffset@ */
1660 0, /* @tp_init@ */
1661 PyType_GenericAlloc, /* @tp_alloc@ */
1662 mpreduce_pynew, /* @tp_new@ */
3aa33042 1663 0, /* @tp_free@ */
d7ab1bab 1664 0 /* @tp_is_gc@ */
1665};
1666
1667/*----- Chinese Remainder Theorem solution --------------------------------*/
1668
1669typedef struct mpcrt_pyobj {
1670 PyObject_HEAD
1671 mpcrt c;
1672} mpcrt_pyobj;
1673
1674#define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c)
1675
1676static PyObject *mcmeth_solve(PyObject *me, PyObject *arg)
1677{
1678 mpcrt *c = MPCRT_PY(me);
1679 PyObject *q = 0, *x, *z = 0;
1680 mp *xx;
1681 mp **v = 0;
1682 int i = 0, n = c->k;
1683
1684 Py_INCREF(me);
1685 if (PyTuple_Size(arg) == n)
1686 q = arg;
1687 else if (!PyArg_ParseTuple(arg, "O:solve", &q))
1688 goto end;
1689 Py_INCREF(q);
1690 if (!PySequence_Check(q)) TYERR("want a sequence of residues");
1691 if (PySequence_Size(q) != n) VALERR("residue count mismatch");
1692 v = xmalloc(n * sizeof(*v));
1693 for (i = 0; i < n; i++) {
1694 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1695 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1696 v[i] = xx;
1697 }
1698 z = mp_pywrap(mpcrt_solve(c, MP_NEW, v));
1699end:
1700 if (v) {
1701 n = i;
1702 for (i = 0; i < n; i++)
1703 MP_DROP(v[i]);
1704 xfree(v);
1705 }
1706 Py_DECREF(me);
1707 Py_XDECREF(q);
1708 return (z);
1709}
1710
1711static void mpcrt_pydealloc(PyObject *me)
1712{
1713 mpcrt *c = MPCRT_PY(me);
1714 mpcrt_destroy(c);
1715 xfree(c->v);
1716}
1717
1718static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1719{
1720 mpcrt_mod *v = 0;
1721 int n, i = 0;
1722 char *kwlist[] = { "mv", 0 };
1723 PyObject *q = 0, *x;
1724 mp *xx;
1725 mpcrt_pyobj *c = 0;
1726
1727 if (PyTuple_Size(arg) > 1)
1728 q = arg;
1729 else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", kwlist, &q))
1730 goto end;
1731 Py_INCREF(q);
1732 if (!PySequence_Check(q)) TYERR("want a sequence of moduli");
1733 n = PySequence_Size(q);
1734 if (PyErr_Occurred()) goto end;
1735 if (!n) VALERR("want at least one modulus");
1736 v = xmalloc(n * sizeof(*v));
1737 for (i = 0; i < n; i++) {
1738 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1739 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1740 v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0;
1741 }
1742 c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0);
1743 mpcrt_create(&c->c, v, n, 0);
1744 Py_DECREF(q);
1745 return ((PyObject *)c);
1746
1747end:
1748 if (v) {
1749 n = i;
1750 for (i = 0; i < n; i++)
1751 MP_DROP(v[i].m);
1752 xfree(v);
1753 }
1754 Py_XDECREF(q);
1755 return (0);
1756}
1757
1758static PyObject *mcget_product(PyObject *me, void *hunoz)
1759 { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); }
1760
1761static PyObject *mcget_moduli(PyObject *me, void *hunoz)
1762{
1763 int i;
1764 PyObject *q;
1765 mpcrt *c = MPCRT_PY(me);
1766
1767 if ((q = PyList_New(c->k)) == 0) return (0);
1768 for (i = 0; i < c->k; i++)
1769 PyList_SetItem(q, i, mp_pywrap(c->v[i].m));
1770 return (q);
1771}
1772
1773static PyGetSetDef mpcrt_pygetset[] = {
1774#define GETSETNAME(op, name) mc##op##_##name
1775 GET (product, "C.product -> product of moduli")
1776 GET (moduli, "C.moduli -> list of individual moduli")
1777#undef GETSETNAME
1778 { 0 }
1779};
1780
1781static PyMethodDef mpcrt_pymethods[] = {
1782#define METHNAME(name) mcmeth_##name
1783 METH (solve, "C.solve([R0, R1]) -> X mod C.product")
1784#undef METHNAME
1785 { 0 }
1786};
1787
1788static PyTypeObject *mpcrt_pytype, mpcrt_pytype_skel = {
6d4db0bf 1789 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 1790 "MPCRT", /* @tp_name@ */
d7ab1bab 1791 sizeof(mpcrt_pyobj), /* @tp_basicsize@ */
1792 0, /* @tp_itemsize@ */
1793
1794 mpcrt_pydealloc, /* @tp_dealloc@ */
1795 0, /* @tp_print@ */
1796 0, /* @tp_getattr@ */
1797 0, /* @tp_setattr@ */
1798 0, /* @tp_compare@ */
1799 0, /* @tp_repr@ */
1800 0, /* @tp_as_number@ */
1801 0, /* @tp_as_sequence@ */
1802 0, /* @tp_as_mapping@ */
1803 0, /* @tp_hash@ */
1804 0, /* @tp_call@ */
1805 0, /* @tp_str@ */
1806 0, /* @tp_getattro@ */
1807 0, /* @tp_setattro@ */
1808 0, /* @tp_as_buffer@ */
1809 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1810 Py_TPFLAGS_BASETYPE,
1811
1812 /* @tp_doc@ */
1813"A context for the solution of Chinese Remainder Theorem problems.",
1814
1815 0, /* @tp_traverse@ */
1816 0, /* @tp_clear@ */
1817 0, /* @tp_richcompare@ */
1818 0, /* @tp_weaklistoffset@ */
1819 0, /* @tp_iter@ */
963a6148 1820 0, /* @tp_iternext@ */
d7ab1bab 1821 mpcrt_pymethods, /* @tp_methods@ */
1822 0, /* @tp_members@ */
1823 mpcrt_pygetset, /* @tp_getset@ */
1824 0, /* @tp_base@ */
1825 0, /* @tp_dict@ */
1826 0, /* @tp_descr_get@ */
1827 0, /* @tp_descr_set@ */
1828 0, /* @tp_dictoffset@ */
1829 0, /* @tp_init@ */
1830 PyType_GenericAlloc, /* @tp_alloc@ */
1831 mpcrt_pynew, /* @tp_new@ */
3aa33042 1832 0, /* @tp_free@ */
d7ab1bab 1833 0 /* @tp_is_gc@ */
1834};
1835
1836/*----- Binary polynomials ------------------------------------------------*/
1837
1838static PyObject *gf_pyrepr(PyObject *o)
1839 { return mp_topystring(MP_X(o), 16, "GF(", "0x", "L)"); }
1840
1841static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op)
1842{
1843 mp *xx, *yy;
1844 int xl, yl;
1845 int b;
1846
bf8910bd 1847 if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL;
d7ab1bab 1848 switch (op) {
1849 case Py_EQ: b = MP_EQ(xx, yy); break;
1850 case Py_NE: b = !MP_EQ(xx, yy); break;
1851 default:
1852 xl = mp_bits(xx);
1853 yl = mp_bits(yy);
1854 switch (op) {
1855 case Py_LT: b = xl < yl; break;
1856 case Py_LE: b = xl <= yl; break;
1857 case Py_GT: b = xl > yl; break;
1858 case Py_GE: b = xl >= yl; break;
1859 default: abort();
1860 }
1861 break;
1862 }
1863 MP_DROP(xx); MP_DROP(yy);
1864 return (getbool(b));
1865}
1866
1867static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1868{
1869 PyObject *x;
1870 mp *z;
1871 mp_pyobj *zz = 0;
1872 int radix = 0;
1873 char *kwlist[] = { "x", "radix", 0 };
1874
1875 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", kwlist, &x, &radix))
1876 goto end;
1877 if (GF_PYCHECK(x)) RETURN_OBJ(x);
f368b46e 1878 if (!good_radix_p(radix, 1)) VALERR("radix out of range");
d7ab1bab 1879 if ((z = mp_frompyobject(x, radix)) == 0) {
1880 PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf",
1881 x->ob_type->tp_name);
1882 goto end;
1883 }
1884 if (MP_NEGP(z)) {
1885 MP_DROP(z);
1886 VALERR("gf cannot be negative");
1887 }
1888 zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
1889 zz->x = z;
1890end:
1891 return ((PyObject *)zz);
1892}
1893
d7ab1bab 1894static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z)
1895{
1896 mp *xx = 0, *yy = 0, *zz = 0;
1897 mp *r = 0;
1898 PyObject *rc = 0;
1899
1900 if ((xx = tomp(x)) == 0 || (yy = tomp(y)) == 0 ||
1901 (z && z != Py_None && (zz = tomp(z)) == 0)) {
1902 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1903 RETURN_NOTIMPL;
1904 }
1905 if (!z || z == Py_None) {
1906 if (MP_NEGP(yy)) VALERR("negative exponent");
1907 r = gf_exp(MP_NEW, xx, yy);
1908 } else {
1909 gfreduce gr;
1910 if (MP_ZEROP(zz)) ZDIVERR("zero modulus");
1911 if (MP_NEGP(yy)) {
1912 if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end;
1913 yy = mp_neg(yy, yy);
1914 }
1915 gfreduce_create(&gr, zz);
1916 r = gfreduce_exp(&gr, MP_NEW, xx, yy);
1917 gfreduce_destroy(&gr);
1918 }
1919 rc = gf_pywrap(r);
1920end:
1921 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1922 return (rc);
1923}
1924
1925static PyObject *gfmeth_sqr(PyObject *me, PyObject *arg)
1926{
1927 if (!PyArg_ParseTuple(arg, ":sqr")) return (0);
1928 return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me))));
1929}
1930
1931static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg)
1932{
1933 PyObject *z = 0;
1934 mp *yy = 0, *zz = MP_NEW;
1935
1936 if (!PyArg_ParseTuple(arg, "O&:gcd", convgf, &yy)) goto end;
1937 gf_gcd(&zz, 0, 0, MP_X(me), yy);
1938 z = gf_pywrap(zz);
1939end:
1940 if (yy) MP_DROP(yy);
1941 return (z);
1942}
1943
1944static PyObject *gfmeth_gcdx(PyObject *me, PyObject *arg)
1945{
1946 PyObject *z = 0;
1947 mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW;
1948
1949 if (!PyArg_ParseTuple(arg, "O&:gcdx", convgf, &yy))
1950 goto end;
1951 gf_gcd(&zz, &uu, &vv, MP_X(me), yy);
1952 z = Py_BuildValue("(NNN)",
1953 gf_pywrap(zz), gf_pywrap(uu), gf_pywrap(vv));
1954end:
1955 if (yy) MP_DROP(yy);
1956 return (z);
1957}
1958
1959static PyObject *gfmeth_modinv(PyObject *me, PyObject *arg)
1960{
1961 PyObject *z = 0;
1962 mp *yy = 0, *zz = MP_NEW;
1963
1964 if (!PyArg_ParseTuple(arg, "O&:modinv", convgf, &yy) ||
1965 (zz = gf_modinv_checked(MP_NEW, yy, MP_X(me))) == 0)
1966 goto end;
1967 z = gf_pywrap(zz);
1968end:
1969 if (yy) MP_DROP(yy);
1970 return (z);
1971}
1972
1973static PyObject *gfmeth_irreduciblep(PyObject *me, PyObject *arg)
1974{
1975 if (!PyArg_ParseTuple(arg, ":irreduciblep")) return (0);
1976 return getbool(gf_irreduciblep(MP_X(me)));
1977}
1978
1979static PyObject *gfget_degree(PyObject *me, void *hunoz)
1980 { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); }
1981
1982static PyGetSetDef gf_pygetset[] = {
1983#define GETSETNAME(op, name) gf##op##_##name
1984 GET (degree, "X.degree -> polynomial degree of X")
1985#undef GETSETNAME
1986#define GETSETNAME(op, name) mp##op##_##name
1987 GET (nbits, "X.nbits -> bit length of X")
1988 GET (noctets, "X.noctets -> octet length of X")
1989#undef GETSETNAME
1990 { 0 }
1991};
1992
1993static PyMethodDef gf_pymethods[] = {
1994#define METHNAME(func) gfmeth_##func
1995 METH (setbit, "X.setbit(N) -> X with bit N set")
1996 METH (clearbit, "X.clearbit(N) -> X with bit N clear")
1997 METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
1998 METH (sqr, "X.sqr() -> X^2")
1999 METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
2000 METH (gcdx,
2001 "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
2002 METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
b2687a0a 2003 METH (irreduciblep, "X.irreduciblep() -> true/false")
d7ab1bab 2004#undef METHNAME
2005#define METHNAME(func) mpmeth_##func
2006 KWMETH(tostring, "X.tostring(radix = 10) -> STR")
2007 KWMETH(storel, "X.storel(len = -1) -> little-endian bytes")
2008 KWMETH(storeb, "X.storeb(len = -1) -> big-endian bytes")
2009 KWMETH(storel2c,
2010 "X.storel2c(len = -1) -> little-endian bytes, two's complement")
2011 KWMETH(storeb2c,
2012 "X.storeb2c(len = -1) -> big-endian bytes, two's complement")
2013 METH (tobuf, "X.tobuf() -> buffer format")
2014#undef METHNAME
2015 { 0 }
2016};
2017
2018static PyNumberMethods gf_pynumber = {
2019 gf_pyadd, /* @nb_add@ */
2020 gf_pysub, /* @nb_subtract@ */
2021 gf_pymul, /* @nb_multiply@ */
2022 0, /* @nb_divide@ */
2023 gf_pymod, /* @nb_remainder@ */
2024 gf_pydivmod, /* @nb_divmod@ */
2025 gf_pyexp, /* @nb_power@ */
2026 mp_pyid, /* @nb_negative@ */
2027 mp_pyid, /* @nb_positive@ */
2028 mp_pyid, /* @nb_absolute@ */
2029 mp_pynonzerop, /* @nb_nonzero@ */
2030 0 /* doesn't make any sense */, /* @nb_invert@ */
2031 gf_pylsl, /* @nb_lshift@ */
2032 gf_pylsr, /* @nb_rshift@ */
2033 gf_pyand, /* @nb_and@ */
2034 gf_pyxor, /* @nb_xor@ */
2035 gf_pyor, /* @nb_or@ */
2036 gf_pycoerce, /* @nb_coerce@ */
2037 mp_pyint, /* @nb_int@ */
2038 mp_pylong, /* @nb_long@ */
2039 0 /* doesn't make any sense */, /* @nb_float@ */
2040 mp_pyoct, /* @nb_oct@ */
2041 mp_pyhex, /* @nb_hex@ */
2042
2043 0, /* @nb_inplace_add@ */
2044 0, /* @nb_inplace_subtract@ */
2045 0, /* @nb_inplace_multiply@ */
2046 0, /* @nb_inplace_divide@ */
2047 0, /* @nb_inplace_remainder@ */
2048 0, /* @nb_inplace_power@ */
2049 0, /* @nb_inplace_lshift@ */
2050 0, /* @nb_inplace_rshift@ */
2051 0, /* @nb_inplace_and@ */
2052 0, /* @nb_inplace_xor@ */
2053 0, /* @nb_inplace_or@ */
2054
2055 gf_pydiv, /* @nb_floor_divide@ */
2056 0, /* @nb_true_divide@ */
2057 0, /* @nb_inplace_floor_divide@ */
2058 0, /* @nb_inplace_true_divide@ */
2059};
2060
2061static PyTypeObject gf_pytype_skel = {
6d4db0bf 2062 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 2063 "GF", /* @tp_name@ */
d7ab1bab 2064 sizeof(mp_pyobj), /* @tp_basicsize@ */
2065 0, /* @tp_itemsize@ */
2066
2067 mp_pydealloc, /* @tp_dealloc@ */
2068 0, /* @tp_print@ */
2069 0, /* @tp_getattr@ */
2070 0, /* @tp_setattr@ */
2071 0, /* @tp_compare@ */
2072 gf_pyrepr, /* @tp_repr@ */
2073 &gf_pynumber, /* @tp_as_number@ */
2074 0, /* @tp_as_sequence@ */
2075 0, /* @tp_as_mapping@ */
ab723d73 2076 mp_pyhash, /* @tp_hash@ */
d7ab1bab 2077 0, /* @tp_call@ */
2078 mp_pyhex, /* @tp_str@ */
2079 0, /* @tp_getattro@ */
2080 0, /* @tp_setattro@ */
2081 0, /* @tp_as_buffer@ */
2082 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2083 Py_TPFLAGS_CHECKTYPES |
2084 Py_TPFLAGS_BASETYPE,
2085
2086 /* @tp_doc@ */
2087"Binary polynomials. Support almost all the standard arithmetic\n\
2088operations.\n\
2089\n\
deed09b2 2090Constructor GF(X, radix = R) attempts to convert X to a `GF'. If\n\
d7ab1bab 2091X is a string, it's read in radix-R form, or we look for a prefix\n\
75e81374
MW		 2092if R = 0. Other acceptable things are field elements, elliptic curve\n\
2093points, group elements, Python `int' and `long' objects, and anything\n\
2094with an integer conversion.\n\
d7ab1bab 2095\n\
2096The name is hopelessly wrong from a technical point of view, but\n\
2097but it's much easier to type than `p2' or `c2' or whatever.\n\
2098\n\
2099Notes:\n\
2100\n\
2101 * Use `//' for division. GFs don't have `/' division.",
2102
2103 0, /* @tp_traverse@ */
2104 0, /* @tp_clear@ */
2105 gf_pyrichcompare, /* @tp_richcompare@ */
2106 0, /* @tp_weaklistoffset@ */
2107 0, /* @tp_iter@ */
963a6148 2108 0, /* @tp_iternext@ */
d7ab1bab 2109 gf_pymethods, /* @tp_methods@ */
2110 0, /* @tp_members@ */
2111 gf_pygetset, /* @tp_getset@ */
2112 0, /* @tp_base@ */
2113 0, /* @tp_dict@ */
2114 0, /* @tp_descr_get@ */
2115 0, /* @tp_descr_set@ */
2116 0, /* @tp_dictoffset@ */
2117 0, /* @tp_init@ */
2118 PyType_GenericAlloc, /* @tp_alloc@ */
2119 gf_pynew, /* @tp_new@ */
3aa33042 2120 0, /* @tp_free@ */
d7ab1bab 2121 0 /* @tp_is_gc@ */
2122};
2123
2124static PyObject *meth__GF_fromstring(PyObject *me,
2125 PyObject *arg, PyObject *kw)
2126{
2127 int r = 0;
2128 char *p;
6b54260d 2129 Py_ssize_t len;
d7ab1bab 2130 PyObject *z = 0;
2131 mp *zz;
2132 mptext_stringctx sc;
2133 char *kwlist[] = { "class", "x", "radix", 0 };
2134
2135 if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring",
2136 kwlist, &me, &p, &len, &r))
2137 goto end;
4b3890c7 2138 if (!good_radix_p(r, 1)) VALERR("bad radix");
d7ab1bab 2139 sc.buf = p; sc.lim = p + len;
4b3890c7
MW		 2140 if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 ||
2141 MP_NEGP(zz)) {
2142 if (zz) MP_DROP(zz);
80f7cd89 2143 VALERR("bad binary polynomial");
4b3890c7 2144 }
6b54260d
MW		 2145 z = Py_BuildValue("(Ns#)", gf_pywrap(zz),
2146 sc.buf, (Py_ssize_t)(sc.lim - sc.buf));
d7ab1bab 2147end:
2148 return (z);
2149}
2150
2151/*----- Sparse poly reduction ---------------------------------------------*/
2152
2153typedef struct gfreduce_pyobj {
2154 PyObject_HEAD
2155 gfreduce mr;
2156} gfreduce_pyobj;
2157
2158#define GFREDUCE_PY(o) (&((gfreduce_pyobj *)(o))->mr)
2159
2160static PyObject *grmeth_exp(PyObject *me, PyObject *arg)
2161{
2162 PyObject *rc = 0;
2163 mp *yy = 0, *zz = 0;
2164
2165 if (!PyArg_ParseTuple(arg, "O&O&:exp", convgf, &yy, convgf, &zz))
2166 goto end;
2167 if (MP_NEGP(zz)) {
2168 if ((yy = gf_modinv_checked(yy, yy, GFREDUCE_PY(me)->p)) == 0) goto end;
2169 zz = mp_neg(zz, zz);
2170 }
2171 rc = gf_pywrap(gfreduce_exp(GFREDUCE_PY(me), MP_NEW, yy, zz));
2172end:
2173 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
2174 return (rc);
2175}
2176
fbc145f3
MW		 2177static PyObject *grmeth_trace(PyObject *me, PyObject *arg)
2178{
2179 PyObject *rc = 0;
2180 mp *xx = 0;
2181
2182 if (!PyArg_ParseTuple(arg, "O&:trace", convgf, &xx)) goto end;
2183 rc = PyInt_FromLong(gfreduce_trace(GFREDUCE_PY(me), xx));
2184end:
2185 if (xx) MP_DROP(xx);
2186 return (rc);
2187}
2188
2189static PyObject *grmeth_halftrace(PyObject *me, PyObject *arg)
2190{
2191 PyObject *rc = 0;
2192 mp *xx = 0;
2193
2194 if (!PyArg_ParseTuple(arg, "O&:halftrace", convgf, &xx)) goto end;
2195 rc = gf_pywrap(gfreduce_halftrace(GFREDUCE_PY(me), MP_NEW, xx));
2196end:
2197 if (xx) MP_DROP(xx);
2198 return (rc);
2199}
2200
2201static PyObject *grmeth_sqrt(PyObject *me, PyObject *arg)
2202{
2203 PyObject *rc = 0;
2204 mp *xx = 0, *yy;
2205
2206 if (!PyArg_ParseTuple(arg, "O&:sqrt", convgf, &xx)) goto end;
2207 if ((yy = gfreduce_sqrt(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
2208 VALERR("no modular square root");
2209 rc = gf_pywrap(yy);
2210end:
2211 if (xx) MP_DROP(xx);
2212 return (rc);
2213}
2214
2215static PyObject *grmeth_quadsolve(PyObject *me, PyObject *arg)
2216{
2217 PyObject *rc = 0;
2218 mp *xx = 0, *yy;
2219
2220 if (!PyArg_ParseTuple(arg, "O&:quadsolve", convgf, &xx)) goto end;
2221 if ((yy = gfreduce_quadsolve(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
2222 VALERR("no solution found");
2223 rc = gf_pywrap(yy);
2224end:
2225 if (xx) MP_DROP(xx);
2226 return (rc);
2227}
2228
d7ab1bab 2229static PyObject *grmeth_reduce(PyObject *me, PyObject *arg)
2230{
2231 PyObject *z = 0;
2232 mp *yy = 0;
2233
2234 if (!PyArg_ParseTuple(arg, "O&:reduce", convgf, &yy)) goto end;
2235 z = gf_pywrap(gfreduce_do(GFREDUCE_PY(me), MP_NEW, yy));
2236end:
2237 return (z);
2238}
2239
2240static void gfreduce_pydealloc(PyObject *me)
2241{
2242 gfreduce_destroy(GFREDUCE_PY(me));
3aa33042 2243 FREEOBJ(me);
d7ab1bab 2244}
2245
2246static PyObject *gfreduce_pynew(PyTypeObject *ty,
2247 PyObject *arg, PyObject *kw)
2248{
2249 gfreduce_pyobj *mr = 0;
2250 gfreduce r;
2251 char *kwlist[] = { "m", 0 };
2252 mp *xx = 0;
2253
2254 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convgf, &xx))
2255 goto end;
2256 if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!");
2257 gfreduce_create(&r, xx);
2258 mr = (gfreduce_pyobj *)ty->tp_alloc(ty, 0);
2259 mr->mr = r;
2260end:
2261 if (xx) MP_DROP(xx);
2262 return ((PyObject *)mr);
2263}
2264
2265static PyObject *grget_m(PyObject *me, void *hunoz)
2266 { return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); }
2267
2268static PyGetSetDef gfreduce_pygetset[] = {
2269#define GETSETNAME(op, name) gr##op##_##name
2270 GET (m, "R.m -> reduction polynomial")
2271#undef GETSETNAME
2272 { 0 }
2273};
2274
2275static PyMethodDef gfreduce_pymethods[] = {
2276#define METHNAME(name) grmeth_##name
2277 METH (reduce, "R.reduce(X) -> X mod B.m")
fbc145f3
MW		 2278 METH (trace, "R.trace(X) -> Tr(X) = x + x^2 + ... + x^{2^{m - 1}}")
2279 METH (halftrace, "R.halftrace(X) -> x + x^{2^2} + ... + x^{2^{m - 1}}")
2280 METH (sqrt, "R.sqrt(X) -> Y where Y^2 = X mod R")
2281 METH (quadsolve, "R.quadsolve(X) -> Y where Y^2 + Y = X mod R")
d7ab1bab 2282 METH (exp, "R.exp(X, N) -> X^N mod B.m")
2283#undef METHNAME
2284 { 0 }
2285};
2286
2287static PyTypeObject *gfreduce_pytype, gfreduce_pytype_skel = {
6d4db0bf 2288 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 2289 "GFReduce", /* @tp_name@ */
d7ab1bab 2290 sizeof(gfreduce_pyobj), /* @tp_basicsize@ */
2291 0, /* @tp_itemsize@ */
2292
2293 gfreduce_pydealloc, /* @tp_dealloc@ */
2294 0, /* @tp_print@ */
2295 0, /* @tp_getattr@ */
2296 0, /* @tp_setattr@ */
2297 0, /* @tp_compare@ */
2298 0, /* @tp_repr@ */
2299 0, /* @tp_as_number@ */
2300 0, /* @tp_as_sequence@ */
2301 0, /* @tp_as_mapping@ */
2302 0, /* @tp_hash@ */
2303 0, /* @tp_call@ */
2304 0, /* @tp_str@ */
2305 0, /* @tp_getattro@ */
2306 0, /* @tp_setattro@ */
2307 0, /* @tp_as_buffer@ */
2308 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2309 Py_TPFLAGS_BASETYPE,
2310
2311 /* @tp_doc@ */
2312"A reduction context for reduction modulo sparse irreducible polynomials.",
2313
2314 0, /* @tp_traverse@ */
2315 0, /* @tp_clear@ */
2316 0, /* @tp_richcompare@ */
2317 0, /* @tp_weaklistoffset@ */
2318 0, /* @tp_iter@ */
963a6148 2319 0, /* @tp_iternext@ */
d7ab1bab 2320 gfreduce_pymethods, /* @tp_methods@ */
2321 0, /* @tp_members@ */
2322 gfreduce_pygetset, /* @tp_getset@ */
2323 0, /* @tp_base@ */
2324 0, /* @tp_dict@ */
2325 0, /* @tp_descr_get@ */
2326 0, /* @tp_descr_set@ */
2327 0, /* @tp_dictoffset@ */
2328 0, /* @tp_init@ */
2329 PyType_GenericAlloc, /* @tp_alloc@ */
2330 gfreduce_pynew, /* @tp_new@ */
3aa33042 2331 0, /* @tp_free@ */
d7ab1bab 2332 0 /* @tp_is_gc@ */
2333};
2334
2335/*----- Normal/poly transformation ----------------------------------------*/
2336
2337typedef struct gfn_pyobj {
2338 PyObject_HEAD
2339 mp *p;
2340 gfn ntop, pton;
2341} gfn_pyobj;
2342
2343static PyTypeObject *gfn_pytype, gfn_pytype_skel;
2344
2345#define GFN_P(o) (((gfn_pyobj *)(o))->p)
2346#define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton)
2347#define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop)
2348
2349static PyObject *gfn_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
2350{
2351 mp *p = 0, *beta = 0;
2352 gfn_pyobj *gg = 0;
2353 char *kwlist[] = { "p", "beta", 0 };
2354
2355 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", kwlist,
2356 convgf, &p, convgf, &beta))
2357 goto end;
2358 gg = PyObject_New(gfn_pyobj, ty);
2359 if (gfn_create(p, beta, &gg->ntop, &gg->pton)) {
3aa33042 2360 FREEOBJ(gg);
d7ab1bab 2361 gg = 0;
2362 VALERR("can't invert transformation matrix");
2363 }
2364 gg->p = MP_COPY(p);
2365end:
2366 mp_drop(p);
2367 mp_drop(beta);
2368 return ((PyObject *)gg);
2369}
2370
2371static PyObject *gfnget_p(PyObject *me, void *hunoz)
2372 { return (gf_pywrap(MP_COPY(GFN_P(me)))); }
2373
2374static PyObject *gfnget_beta(PyObject *me, void *hunoz)
2375{
2376 gfn *n = GFN_NTOP(me);
2377 mp *x = n->r[n->n - 1];
2378 return (gf_pywrap(MP_COPY(x)));
2379}
2380
2381#define XFORMOP(name, NAME) \
2382 static PyObject *gfnmeth_##name(PyObject *me, PyObject *arg) \
2383 { \
2384 mp *xx = 0; \
2385 mp *z = 0; \
2386 \
2387 if (!PyArg_ParseTuple(arg, "O&:" #name, convgf, &xx)) goto end; \
2388 z = gfn_transform(GFN_##NAME(me), MP_NEW, xx); \
2389 end: \
2390 mp_drop(xx); \
2391 if (!z) return (0); \
2392 return (mp_pywrap(z)); \
2393 }
2394XFORMOP(pton, PTON)
2395XFORMOP(ntop, NTOP)
2396#undef XFORMOP
2397
2398static void gfn_pydealloc(PyObject *me)
2399{
2400 gfn_destroy(GFN_PTON(me));
2401 gfn_destroy(GFN_NTOP(me));
3aa33042 2402 FREEOBJ(me);
d7ab1bab 2403}
2404
2405static PyGetSetDef gfn_pygetset[] = {
2406#define GETSETNAME(op, name) gfn##op##_##name
2407 GET (p, "X.p -> polynomial basis, as polynomial")
2408 GET (beta, "X.beta -> normal basis element, in poly form")
2409#undef GETSETNAME
2410 { 0 }
2411};
2412
2413static PyMethodDef gfn_pymethods[] = {
2414#define METHNAME(name) gfnmeth_##name
2415 METH (pton, "X.pton(A) -> normal-basis representation of A")
2416 METH (ntop, "X.ntop(A) -> polynomial-basis representation of A")
2417#undef METHNAME
2418 { 0 }
2419};
2420
2421static PyTypeObject gfn_pytype_skel = {
6d4db0bf 2422 PyObject_HEAD_INIT(0) 0, /* Header */
c461c9b3 2423 "GFN", /* @tp_name@ */
d7ab1bab 2424 sizeof(gfn_pyobj), /* @tp_basicsize@ */
2425 0, /* @tp_itemsize@ */
2426
2427 gfn_pydealloc, /* @tp_dealloc@ */
2428 0, /* @tp_print@ */
2429 0, /* @tp_getattr@ */
2430 0, /* @tp_setattr@ */
2431 0, /* @tp_compare@ */
2432 0, /* @tp_repr@ */
2433 0, /* @tp_as_number@ */
2434 0, /* @tp_as_sequence@ */
2435 0, /* @tp_as_mapping@ */
2436 0, /* @tp_hash@ */
2437 0, /* @tp_call@ */
2438 0, /* @tp_str@ */
2439 0, /* @tp_getattro@ */
2440 0, /* @tp_setattro@ */
2441 0, /* @tp_as_buffer@ */
2442 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2443 Py_TPFLAGS_BASETYPE,
2444
2445 /* @tp_doc@ */
2446"An object for transforming elements of binary fields between polynomial\n\
2447and normal basis representations.",
2448
2449 0, /* @tp_traverse@ */
2450 0, /* @tp_clear@ */
2451 0, /* @tp_richcompare@ */
2452 0, /* @tp_weaklistoffset@ */
2453 0, /* @tp_iter@ */
963a6148 2454 0, /* @tp_iternext@ */
d7ab1bab 2455 gfn_pymethods, /* @tp_methods@ */
2456 0, /* @tp_members@ */
2457 gfn_pygetset, /* @tp_getset@ */
2458 0, /* @tp_base@ */
2459 0, /* @tp_dict@ */
2460 0, /* @tp_descr_get@ */
2461 0, /* @tp_descr_set@ */
2462 0, /* @tp_dictoffset@ */
2463 0, /* @tp_init@ */
2464 PyType_GenericAlloc, /* @tp_alloc@ */
2465 gfn_pynew, /* @tp_new@ */
3aa33042 2466 0, /* @tp_free@ */
d7ab1bab 2467 0 /* @tp_is_gc@ */
2468};
2469
2470/*----- Glue --------------------------------------------------------------*/
2471
2472static PyMethodDef methods[] = {
2473#define METHNAME(func) meth_##func
b2687a0a 2474 KWMETH(_MP_fromstring, "\
d7ab1bab 2475fromstring(STR, radix = 0) -> (X, REST)\n\
2476\n\
2477Parse STR as a large integer, according to radix. If radix is zero,\n\
2478read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\
2479or `R_' for other radix R.")
b2687a0a 2480 KWMETH(_GF_fromstring, "\
d7ab1bab 2481fromstring(STR, radix = 0) -> (X, REST)\n\
2482\n\
2483Parse STR as a binary polynomial, according to radix. If radix is zero,\n\
2484read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\
2485or `R_' for other radix R.")
9f49c854
MW		 2486 METH (_MP_factorial, "\
2487factorial(I) -> I!: compute factorial")
6313f40e
MW		 2488 METH (_MP_fibonacci, "\
2489fibonacci(I) -> F(I): compute Fibonacci number")
d7ab1bab 2490 METH (_MP_loadl, "\
2491loadl(STR) -> X: read little-endian bytes")
2492 METH (_MP_loadb, "\
2493loadb(STR) -> X: read big-endian bytes")
2494 METH (_MP_loadl2c, "\
2495loadl2c(STR) -> X: read little-endian bytes, two's complement")
2496 METH (_MP_loadb2c, "\
2497loadb2c(STR) -> X: read big-endian bytes, two's complement")
2498 METH (_MP_frombuf, "\
2499frombuf(STR) -> (X, REST): read buffer format")
d7ab1bab 2500 METH (_GF_loadl, "\
2501loadl(STR) -> X: read little-endian bytes")
2502 METH (_GF_loadb, "\
2503loadb(STR) -> X: read big-endian bytes")
2504 METH (_GF_frombuf, "\
2505frombuf(STR) -> (X, REST): read buffer format")
2506#undef METHNAME
2507 { 0 }
2508};
2509
2510void mp_pyinit(void)
2511{
2512 INITTYPE(mp, root);
2513 INITTYPE(gf, root);
32507e35 2514 INITTYPE(mpmul, root);
d7ab1bab 2515 INITTYPE(mpmont, root);
2516 INITTYPE(mpbarrett, root);
2517 INITTYPE(mpreduce, root);
2518 INITTYPE(mpcrt, root);
2519 INITTYPE(gfreduce, root);
2520 INITTYPE(gfn, root);
2521 addmethods(methods);
2522}
2523
2524void mp_pyinsert(PyObject *mod)
2525{
2526 INSERT("MP", mp_pytype);
32507e35 2527 INSERT("MPMul", mpmul_pytype);
d7ab1bab 2528 INSERT("MPMont", mpmont_pytype);
2529 INSERT("MPBarrett", mpbarrett_pytype);
2530 INSERT("MPReduce", mpreduce_pytype);
2531 INSERT("MPCRT", mpcrt_pytype);
2532 INSERT("GF", gf_pytype);
2533 INSERT("GFReduce", gfreduce_pytype);
2534 INSERT("GFN", gfn_pytype);
2535}
2536
2537/*----- That's all, folks -------------------------------------------------*/
Catacomb cryptographic library -- Python bindings