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key.c: New KeyData method `copy'.
[catacomb-python] / mp.c
CommitLineData
d7ab1bab 1/* -*-c-*-
2 *
3 * $Id$
4 *
5 * Multiprecision arithmetic
6 *
7 * (c) 2004 Straylight/Edgeware
8 */
9
b2687a0a 10/*----- Licensing notice --------------------------------------------------*
d7ab1bab 11 *
12 * This file is part of the Python interface to Catacomb.
13 *
14 * Catacomb/Python is free software; you can redistribute it and/or modify
15 * it under the terms of the GNU General Public License as published by
16 * the Free Software Foundation; either version 2 of the License, or
17 * (at your option) any later version.
b2687a0a 18 *
d7ab1bab 19 * Catacomb/Python is distributed in the hope that it will be useful,
20 * but WITHOUT ANY WARRANTY; without even the implied warranty of
21 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 * GNU General Public License for more details.
b2687a0a 23 *
d7ab1bab 24 * You should have received a copy of the GNU General Public License
25 * along with Catacomb/Python; if not, write to the Free Software Foundation,
26 * Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
27 */
28
29/*----- Header files ------------------------------------------------------*/
30
31#include "catacomb-python.h"
32
33/*----- General utilities -------------------------------------------------*/
34
35PyTypeObject *mp_pytype = 0;
36PyTypeObject *gf_pytype = 0;
37
f368b46e 38mp *mp_frompylong(PyObject *obj)
d7ab1bab 39{
40 unsigned long bits;
f368b46e 41 PyLongObject *l = (PyLongObject *)obj;
d7ab1bab 42 int sz;
43 size_t w;
44 mpd r = 0;
45 int b = 0;
46 int i;
47 mp *x;
48 mpw *p;
49
50 sz = l->ob_size;
51 if (sz < 0) sz = -sz;
52 assert(MPW_BITS >= SHIFT);
53 bits = (unsigned long)sz * SHIFT;
54 w = (bits + MPW_BITS - 1)/MPW_BITS;
55 x = mp_new(w, l->ob_size < 0 ? MP_NEG : 0);
56 p = x->v;
57 for (i = 0; i < sz; i++) {
58 r |= (mpd)l->ob_digit[i] << b;
59 b += SHIFT;
60 while (b >= MPW_BITS) {
61 *p++ = MPW(r);
62 r >>= MPW_BITS;
63 b -= MPW_BITS;
64 }
65 }
66 while (r) {
67 *p++ = MPW(r);
68 r >>= MPW_BITS;
69 }
70 x->vl = p;
71 MP_SHRINK(x);
72 return (x);
73}
74
f368b46e 75PyObject *mp_topylong(mp *x)
d7ab1bab 76{
77 unsigned long bits = mp_bits(x);
78 int sz = (bits + SHIFT - 1)/SHIFT;
79 PyLongObject *l = _PyLong_New(sz);
80 mpd r = 0;
81 int b = 0;
82 mpw *p = x->v;
83 int i = 0;
84
85 assert(MPW_BITS >= SHIFT);
86 while (i < sz && p < x->vl) {
f368b46e 87 r |= (mpd)*p++ << b;
d7ab1bab 88 b += MPW_BITS;
89 while (i < sz && b >= SHIFT) {
90 l->ob_digit[i++] = r & MASK;
91 r >>= SHIFT;
92 b -= SHIFT;
93 }
94 }
95 while (i < sz && r) {
96 l->ob_digit[i++] = r & MASK;
97 r >>= SHIFT;
98 }
99 l->ob_size = (x->f & MP_NEG) ? -sz : sz;
f368b46e 100 return ((PyObject *)l);
d7ab1bab 101}
102
103mp *mp_frompyobject(PyObject *o, int radix)
104{
105 mp *x;
106
d7ab1bab 107 if (PyString_Check(o)) {
108 mptext_stringctx sc;
109 mp *x;
110 sc.buf = PyString_AS_STRING(o);
111 sc.lim = sc.buf + PyString_GET_SIZE(o);
112 x = mp_read(MP_NEW, radix, &mptext_stringops, &sc);
113 if (!x) return (0);
114 if (sc.buf < sc.lim) { MP_DROP(x); return (0); }
115 return (x);
116 }
f368b46e
MW		 117 if ((x = tomp(o)) != 0)
118 return (x);
d7ab1bab 119 return (0);
120}
121
122PyObject *mp_topystring(mp *x, int radix, const char *xpre,
123 const char *pre, const char *post)
124{
125 int len = mptext_len(x, radix) + 1;
126 mptext_stringctx sc;
127 PyObject *o;
128 size_t xprelen = xpre ? strlen(xpre) : 0;
129 size_t prelen = pre ? strlen(pre) : 0;
130 size_t postlen = post ? strlen(post) : 0;
131 char *p;
132 MP_COPY(x);
133 o = PyString_FromStringAndSize(0, len + 1 + xprelen + prelen + postlen);
134 p = PyString_AS_STRING(o);
135 sc.buf = p;
136 if (xpre) { memcpy(sc.buf, xpre, xprelen); sc.buf += xprelen; }
137 if (MP_NEGP(x)) { *sc.buf++ = '-'; x = mp_neg(x, x); }
138 if (pre) { memcpy(sc.buf, pre, prelen); sc.buf += prelen; }
139 sc.lim = sc.buf + len;
140 mp_write(x, radix, &mptext_stringops, &sc);
141 if (post) { memcpy(sc.buf, post, postlen); sc.buf += postlen; }
142 MP_DROP(x);
143 _PyString_Resize(&o, sc.buf - p);
144 return (o);
145}
146
f368b46e
MW		 147static int good_radix_p(int r, int readp)
148{
149 return ((r >= -255 && r <= -2) ||
150 (readp && r == 0) ||
151 (r >= 2 && r <= 62));
152}
153
d7ab1bab 154PyObject *mp_pywrap(mp *x)
155{
156 mp_pyobj *z = PyObject_New(mp_pyobj, mp_pytype);
157 z->x = x;
158 return ((PyObject *)z);
159}
160
161PyObject *gf_pywrap(mp *x)
162{
163 mp_pyobj *z = PyObject_New(mp_pyobj, gf_pytype);
164 z->x = x;
165 return ((PyObject *)z);
166}
167
168int mp_tolong_checked(mp *x, long *l)
169{
170 static mp *longmin = 0, *longmax = 0;
171 int rc = -1;
172
173 if (!longmax) {
174 longmin = mp_fromlong(MP_NEW, LONG_MIN);
175 longmax = mp_fromlong(MP_NEW, LONG_MAX);
176 }
177 if (MP_CMP(x, <, longmin) || MP_CMP(x, >, longmax))
178 VALERR("mp out of range for int");
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; \
d7ab1bab 367 if (mp_tolong_checked(yy, &n)) goto end; \
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;
488 if (mp_tolong_checked(MP_X(x), &l)) return (0);
489 return (PyInt_FromLong(l));
490}
491static PyObject *mp_pylong(PyObject *x)
f368b46e 492 { return (mp_topylong(MP_X(x))); }
d7ab1bab 493static PyObject *mp_pyfloat(PyObject *x)
494{
f368b46e 495 PyObject *l = mp_topylong(MP_X(x));
d7ab1bab 496 double f = PyLong_AsDouble(l);
497 Py_DECREF(l);
498 return (PyFloat_FromDouble(f));
499}
500
b2687a0a 501#define COERCE(pre, PRE) \
d7ab1bab 502 static int pre##_pycoerce(PyObject **x, PyObject **y) \
503 { \
504 mp *z; \
505 \
506 if (PRE##_PYCHECK(*y)) { \
507 Py_INCREF(*x); Py_INCREF(*y); \
508 return (0); \
509 } \
510 if ((z = tomp(*y)) != 0) { \
511 Py_INCREF(*x); \
512 *y = pre##_pywrap(z); \
513 return (0); \
514 } \
515 return (1); \
516 }
517COERCE(mp, MP)
518COERCE(gf, GF)
519#undef COERCE
520
521static int mp_pycompare(PyObject *x, PyObject *y)
522 { return mp_cmp(MP_X(x), MP_X(y)); }
523
524static PyObject *mp_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
525{
526 PyObject *x;
527 mp *z;
528 mp_pyobj *zz = 0;
529 int radix = 0;
530 char *kwlist[] = { "x", "radix", 0 };
531
f368b46e 532 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:new", kwlist, &x, &radix))
d7ab1bab 533 goto end;
534 if (MP_PYCHECK(x)) RETURN_OBJ(x);
f368b46e 535 if (!good_radix_p(radix, 1)) VALERR("bad radix");
d7ab1bab 536 if ((z = mp_frompyobject(x, radix)) == 0) {
537 PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp",
538 x->ob_type->tp_name);
539 goto end;
540 }
541 zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
542 zz->x = z;
543end:
544 return ((PyObject *)zz);
545}
546
547static long mp_pyhash(PyObject *me)
548{
f368b46e
MW		 549 long h;
550 PyObject *l = mp_topylong(MP_X(me)); h = PyObject_Hash(l);
551 Py_DECREF(l); return (h);
d7ab1bab 552}
553
554static PyObject *mpmeth_jacobi(PyObject *me, PyObject *arg)
555{
556 mp *y = 0;
557 PyObject *z = 0;
558
559 if (!PyArg_ParseTuple(arg, "O&:jacobi", convmp, &y)) goto end;
560 z = PyInt_FromLong(mp_jacobi(y, MP_X(me)));
561end:
562 if (y) MP_DROP(y);
563 return (z);
564}
565
566#define BITOP(pre, name, c) \
567 static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \
568 { \
a1be89ad
MW		 569 unsigned long i; \
570 if (!PyArg_ParseTuple(arg, "O&:" #name, convulong, &i)) return (0); \
d7ab1bab 571 return (pre##_pywrap(mp_##name##c(MP_NEW, MP_X(me), i))); \
572 }
573BITOP(mp, setbit, 2c);
574BITOP(mp, clearbit, 2c);
b2687a0a 575BITOP(gf, setbit, );
d7ab1bab 576BITOP(gf, clearbit, );
577#undef BITOP
578
579static PyObject *mpmeth_testbit(PyObject *me, PyObject *arg)
580{
a1be89ad
MW		 581 unsigned long i;
582 if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0);
d7ab1bab 583 return (getbool(mp_testbit2c(MP_X(me), i)));
584}
585
586static PyObject *gfmeth_testbit(PyObject *me, PyObject *arg)
587{
a1be89ad
MW		 588 unsigned long i;
589 if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0);
d7ab1bab 590 return (getbool(mp_testbit(MP_X(me), i)));
591}
592
593static PyObject *mpmeth_odd(PyObject *me, PyObject *arg)
594{
595 mp *t;
596 size_t s;
597
598 if (!PyArg_ParseTuple(arg, ":odd")) return (0);
599 t = mp_odd(MP_NEW, MP_X(me), &s);
600 return (Py_BuildValue("(lN)", (long)s, mp_pywrap(t)));
601}
602
603static PyObject *mpmeth_sqr(PyObject *me, PyObject *arg)
604{
605 if (!PyArg_ParseTuple(arg, ":sqr")) return (0);
606 return (mp_pywrap(mp_sqr(MP_NEW, MP_X(me))));
607}
608
609static PyObject *mpmeth_sqrt(PyObject *me, PyObject *arg)
610{
611 if (!PyArg_ParseTuple(arg, ":sqrt")) return (0);
612 if (MP_NEGP(MP_X(me))) VALERR("negative root");
613 return (mp_pywrap(mp_sqrt(MP_NEW, MP_X(me))));
614end:
615 return (0);
616}
617
618static PyObject *mpmeth_gcd(PyObject *me, PyObject *arg)
619{
620 mp *y = 0, *zz = MP_NEW;
621 PyObject *z = 0;
622
623 if (!PyArg_ParseTuple(arg, "O&:gcd", convmp, &y)) goto end;
624 mp_gcd(&zz, 0, 0, MP_X(me), y);
625 z = mp_pywrap(zz);
626end:
627 if (y) MP_DROP(y);
628 return (z);
629}
630
631static PyObject *mpmeth_gcdx(PyObject *me, PyObject *arg)
632{
633 PyObject *z = 0;
634 mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW;
635
636 if (!PyArg_ParseTuple(arg, "O&:gcdx", convmp, &yy)) goto end;
637 mp_gcd(&zz, &uu, &vv, MP_X(me), yy);
638 z = Py_BuildValue("(NNN)",
639 mp_pywrap(zz), mp_pywrap(uu), mp_pywrap(vv));
640end:
641 if (yy) MP_DROP(yy);
642 return (z);
643}
644
645static PyObject *mpmeth_modinv(PyObject *me, PyObject *arg)
646{
647 PyObject *z = 0;
648 mp *yy = 0, *zz = MP_NEW;
649
650 if (!PyArg_ParseTuple(arg, "O&:modinv", convmp, &yy) ||
651 (zz = mp_modinv_checked(MP_NEW, yy, MP_X(me))) == 0)
652 goto end;
653 z = mp_pywrap(zz);
654end:
655 if (yy) MP_DROP(yy);
656 return (z);
657}
658
659static PyObject *mpmeth_tostring(PyObject *me, PyObject *arg, PyObject *kw)
660{
661 int radix = 10;
662 char *kwlist[] = { "radix", 0 };
663 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:tostring", kwlist, &radix))
664 goto end;
f368b46e 665 if (!good_radix_p(radix, 0)) VALERR("bad radix");
d7ab1bab 666 return (mp_topystring(MP_X(me), radix, 0, 0, 0));
667end:
668 return (0);
669}
670
671static PyObject *mpmeth_modsqrt(PyObject *me, PyObject *arg)
672{
673 PyObject *z = 0;
674 mp *yy = 0, *zz = MP_NEW;
675
676 if (!PyArg_ParseTuple(arg, "O&:modsqrt", convmp, &yy)) goto end;
677 if ((zz = mp_modsqrt(MP_NEW, yy, MP_X(me))) == 0)
678 VALERR("no modular square root");
679 z = mp_pywrap(zz);
680end:
681 if (yy) MP_DROP(yy);
682 return (z);
683}
684
685#define STOREOP(name, c) \
686 static PyObject *mpmeth_##name(PyObject *me, \
687 PyObject *arg, PyObject *kw) \
688 { \
689 long len = -1; \
690 char *kwlist[] = { "len", 0 }; \
691 PyObject *rc = 0; \
692 \
693 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|l:" #name, \
694 kwlist, &len)) \
695 goto end; \
696 if (len < 0) { \
697 len = mp_octets##c(MP_X(me)); \
698 if (!len) len = 1; \
699 } \
700 rc = bytestring_pywrap(0, len); \
701 mp_##name(MP_X(me), PyString_AS_STRING(rc), len); \
702 end: \
703 return (rc); \
704 }
705STOREOP(storel, )
706STOREOP(storeb, )
707STOREOP(storel2c, 2c)
708STOREOP(storeb2c, 2c)
709#undef STOREOP
710
711#define BUFOP(ty, pyty) \
712 static PyObject *meth__##pyty##_frombuf(PyObject *me, PyObject *arg) \
713 { \
714 buf b; \
715 char *p; \
716 int sz; \
717 PyObject *rc = 0; \
718 mp *x; \
719 \
720 if (!PyArg_ParseTuple(arg, "Os#:frombuf", &me, &p, &sz)) goto end; \
721 buf_init(&b, p, sz); \
722 if ((x = buf_getmp(&b)) == 0) VALERR("malformed data"); \
723 rc = Py_BuildValue("(NN)", ty##_pywrap(x), \
724 bytestring_pywrapbuf(&b)); \
725 end: \
726 return (rc); \
727 }
728BUFOP(mp, MP)
729BUFOP(gf, GF)
730#undef BUFOP
731
732static PyObject *mpmeth_tobuf(PyObject *me, PyObject *arg)
733{
734 buf b;
735 PyObject *rc;
736 mp *x;
737 size_t n;
738
739 if (!PyArg_ParseTuple(arg, ":tobuf")) return (0);
740 x = MP_X(me);
741 n = mp_octets(x) + 3;
742 rc = bytestring_pywrap(0, n);
743 buf_init(&b, PyString_AS_STRING(rc), n);
744 buf_putmp(&b, x);
745 assert(BOK(&b));
746 _PyString_Resize(&rc, BLEN(&b));
747 return (rc);
748}
749
750static PyObject *mpmeth_primep(PyObject *me, PyObject *arg, PyObject *kw)
751{
752 grand *r = &rand_global;
753 char *kwlist[] = { "rng", 0 };
754 PyObject *rc = 0;
755
756 if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&", kwlist, convgrand, &r))
757 goto end;
758 rc = getbool(pgen_primep(MP_X(me), r));
759end:
760 return (rc);
761}
762
763static PyObject *mpget_nbits(PyObject *me, void *hunoz)
764 { return (PyInt_FromLong(mp_bits(MP_X(me)))); }
765
766static PyObject *mpget_noctets(PyObject *me, void *hunoz)
767 { return (PyInt_FromLong(mp_octets(MP_X(me)))); }
768
769static PyObject *mpget_noctets2c(PyObject *me, void *hunoz)
770 { return (PyInt_FromLong(mp_octets2c(MP_X(me)))); }
771
772static PyGetSetDef mp_pygetset[] = {
773#define GETSETNAME(op, func) mp##op##_##func
774 GET (nbits, "X.nbits -> bit length of X")
775 GET (noctets, "X.noctets -> octet length of X")
776 GET (noctets2c, "X.noctets2c -> two's complement octet length of X")
777#undef GETSETNAME
778 { 0 }
779};
780
781static PyMethodDef mp_pymethods[] = {
782#define METHNAME(func) mpmeth_##func
783 METH (jacobi, "X.jacobi(Y) -> Jacobi symbol (Y/X) (NB inversion!)")
784 METH (setbit, "X.setbit(N) -> X with bit N set")
785 METH (clearbit, "X.clearbit(N) -> X with bit N clear")
786 METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
787 METH (odd, "X.odd() -> S, T where X = 2^S T with T odd")
788 METH (sqr, "X.sqr() -> X^2")
789 METH (sqrt, "X.sqrt() -> largest integer <= sqrt(X)")
790 METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
791 METH (gcdx,
792 "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
793 METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
794 METH (modsqrt, "X.modsqrt(Y) -> square root of Y mod X, if X prime")
795 KWMETH(primep, "X.primep(rng = rand) -> true/false if X is prime")
796 KWMETH(tostring, "X.tostring(radix = 10) -> STR")
797 KWMETH(storel, "X.storel(len = -1) -> little-endian bytes")
798 KWMETH(storeb, "X.storeb(len = -1) -> big-endian bytes")
799 KWMETH(storel2c,
800 "X.storel2c(len = -1) -> little-endian bytes, two's complement")
801 KWMETH(storeb2c,
802 "X.storeb2c(len = -1) -> big-endian bytes, two's complement")
803 METH (tobuf, "X.tobuf() -> buffer format")
804#undef METHNAME
805 { 0 }
806};
807
808static PyNumberMethods mp_pynumber = {
809 mp_pyadd, /* @nb_add@ */
810 mp_pysub, /* @nb_subtract@ */
811 mp_pymul, /* @nb_multiply@ */
812 0, /* @nb_divide@ */
813 mp_pymod, /* @nb_remainder@ */
814 mp_pydivmod, /* @nb_divmod@ */
815 mp_pyexp, /* @nb_power@ */
816 mp_pyneg, /* @nb_negative@ */
817 mp_pyid, /* @nb_positive@ */
818 mp_pyabs, /* @nb_absolute@ */
819 mp_pynonzerop, /* @nb_nonzero@ */
820 mp_pynot2c, /* @nb_invert@ */
821 mp_pylsl2c, /* @nb_lshift@ */
822 mp_pylsr2c, /* @nb_rshift@ */
823 mp_pyand2c, /* @nb_and@ */
824 mp_pyxor2c, /* @nb_xor@ */
825 mp_pyor2c, /* @nb_or@ */
826 mp_pycoerce, /* @nb_coerce@ */
827 mp_pyint, /* @nb_int@ */
828 mp_pylong, /* @nb_long@ */
829 mp_pyfloat, /* @nb_float@ */
830 mp_pyoct, /* @nb_oct@ */
831 mp_pyhex, /* @nb_hex@ */
832
833 0, /* @nb_inplace_add@ */
834 0, /* @nb_inplace_subtract@ */
835 0, /* @nb_inplace_multiply@ */
836 0, /* @nb_inplace_divide@ */
837 0, /* @nb_inplace_remainder@ */
838 0, /* @nb_inplace_power@ */
839 0, /* @nb_inplace_lshift@ */
840 0, /* @nb_inplace_rshift@ */
841 0, /* @nb_inplace_and@ */
842 0, /* @nb_inplace_xor@ */
843 0, /* @nb_inplace_or@ */
844
845 mp_pydiv, /* @nb_floor_divide@ */
846 0, /* @nb_true_divide@ */
847 0, /* @nb_inplace_floor_divide@ */
848 0, /* @nb_inplace_true_divide@ */
849};
850
851static PyTypeObject mp_pytype_skel = {
6d4db0bf 852 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 853 "catacomb.MP", /* @tp_name@ */
854 sizeof(mp_pyobj), /* @tp_basicsize@ */
855 0, /* @tp_itemsize@ */
856
857 mp_pydealloc, /* @tp_dealloc@ */
858 0, /* @tp_print@ */
859 0, /* @tp_getattr@ */
860 0, /* @tp_setattr@ */
861 mp_pycompare, /* @tp_compare@ */
862 mp_pyrepr, /* @tp_repr@ */
863 &mp_pynumber, /* @tp_as_number@ */
864 0, /* @tp_as_sequence@ */
865 0, /* @tp_as_mapping@ */
866 mp_pyhash, /* @tp_hash@ */
867 0, /* @tp_call@ */
868 mp_pystr, /* @tp_str@ */
869 0, /* @tp_getattro@ */
870 0, /* @tp_setattro@ */
871 0, /* @tp_as_buffer@ */
872 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
873 Py_TPFLAGS_CHECKTYPES |
874 Py_TPFLAGS_BASETYPE,
875
876 /* @tp_doc@ */
877"Multiprecision integers, similar to `long' but more efficient and\n\
878versatile. Support all the standard arithmetic operations.\n\
879\n\
880Constructor mp(X, radix = R) attempts to convert X to an `mp'. If\n\
881X is a string, it's read in radix-R form, or we look for a prefix\n\
882if R = 0. Other acceptable things are ints and longs.\n\
883\n\
884Notes:\n\
885\n\
886 * Use `//' for division. MPs don't have `/' division.",
887
888 0, /* @tp_traverse@ */
889 0, /* @tp_clear@ */
890 0, /* @tp_richcompare@ */
891 0, /* @tp_weaklistoffset@ */
892 0, /* @tp_iter@ */
963a6148 893 0, /* @tp_iternext@ */
d7ab1bab 894 mp_pymethods, /* @tp_methods@ */
895 0, /* @tp_members@ */
896 mp_pygetset, /* @tp_getset@ */
897 0, /* @tp_base@ */
898 0, /* @tp_dict@ */
899 0, /* @tp_descr_get@ */
900 0, /* @tp_descr_set@ */
901 0, /* @tp_dictoffset@ */
902 0, /* @tp_init@ */
903 PyType_GenericAlloc, /* @tp_alloc@ */
904 mp_pynew, /* @tp_new@ */
3aa33042 905 0, /* @tp_free@ */
d7ab1bab 906 0 /* @tp_is_gc@ */
907};
908
909static PyObject *meth__MP_fromstring(PyObject *me,
bf8910bd 910 PyObject *arg, PyObject *kw)
d7ab1bab 911{
912 int r = 0;
913 char *p;
914 int len;
915 PyObject *z = 0;
916 mp *zz;
917 mptext_stringctx sc;
918 char *kwlist[] = { "class", "x", "radix", 0 };
919
920 if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring",
921 kwlist, &me, &p, &len, &r))
922 goto end;
f368b46e 923 if (!good_radix_p(r, 1)) VALERR("bad radix");
d7ab1bab 924 sc.buf = p; sc.lim = p + len;
925 if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0)
926 SYNERR("bad integer");
927 z = Py_BuildValue("(Ns#)", mp_pywrap(zz), sc.buf, (int)(sc.lim - sc.buf));
928end:
929 return (z);
930}
931
32507e35
MW		 932#define LOADOP(pre, py, name) \
933 static PyObject *meth__##py##_##name(PyObject *me, PyObject *arg) \
934 { \
935 char *p; \
936 int len; \
937 if (!PyArg_ParseTuple(arg, "Os#:" #name, &me, &p, &len)) return (0); \
938 return (pre##_pywrap(mp_##name(MP_NEW, p, len))); \
939 }
940LOADOP(mp, MP, loadl)
941LOADOP(mp, MP, loadb)
942LOADOP(mp, MP, loadl2c)
943LOADOP(mp, MP, loadb2c)
944LOADOP(gf, GF, loadl)
945LOADOP(gf, GF, loadb)
946#undef LOADOP
947
948/*----- Products of small integers ----------------------------------------*/
949
950typedef struct mpmul_pyobj {
951 PyObject_HEAD
952 int livep;
953 mpmul mm;
954} mpmul_pyobj;
955
956#define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep)
957#define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm)
958
959static void mpmul_pydealloc(PyObject *me)
960{
961 if (MPMUL_LIVEP(me))
962 mp_drop(mpmul_done(MPMUL_PY(me)));
963 FREEOBJ(me);
964}
965
966static PyObject *mmmeth_factor(PyObject *me, PyObject *arg)
d7ab1bab 967{
d7ab1bab 968 PyObject *q, *i;
969 mp *x;
970
32507e35
MW		 971 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
972 if (PyTuple_Size(arg) != 1)
d7ab1bab 973 i = PyObject_GetIter(arg);
32507e35
MW		 974 else {
975 if ((q = PyTuple_GetItem(arg, 0)) == 0) goto end;
d7ab1bab 976 if ((i = PyObject_GetIter(q)) == 0) {
977 PyErr_Clear(); /* that's ok */
978 i = PyObject_GetIter(arg);
979 }
980 }
32507e35 981 if (!i) goto end;
d7ab1bab 982 while ((q = PyIter_Next(i)) != 0) {
983 x = getmp(q); Py_DECREF(q); if (!x) {
d7ab1bab 984 Py_DECREF(i);
32507e35 985 goto end;
d7ab1bab 986 }
32507e35 987 mpmul_add(MPMUL_PY(me), x);
d7ab1bab 988 MP_DROP(x);
989 }
d7ab1bab 990 Py_DECREF(i);
32507e35
MW		 991 RETURN_ME;
992end:
993 return (0);
994}
995
996static PyObject *mmmeth_done(PyObject *me, PyObject *arg)
997{
998 mp *x;
999
1000 if (!PyArg_ParseTuple(arg, ":done")) goto end;
1001 if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
1002 x = mpmul_done(MPMUL_PY(me));
1003 MPMUL_LIVEP(me) = 0;
d7ab1bab 1004 return (mp_pywrap(x));
32507e35
MW		 1005end:
1006 return (0);
d7ab1bab 1007}
1008
32507e35
MW		 1009static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1010{
1011 mpmul_pyobj *mm;
1012
1013 if (kw) TYERR("keyword arguments not allowed here");
1014 mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0);
1015 mpmul_init(&mm->mm);
1016 mm->livep = 1;
1017 if (mmmeth_factor((PyObject *)mm, arg) == 0) {
1018 Py_DECREF(mm);
1019 goto end;
d7ab1bab 1020 }
32507e35
MW		 1021 return ((PyObject *)mm);
1022end:
1023 return (0);
1024}
1025
1026static PyObject *mmget_livep(PyObject *me, void *hunoz)
1027 { return (getbool(MPMUL_LIVEP(me))); }
1028
1029static PyGetSetDef mpmul_pygetset[] = {
1030#define GETSETNAME(op, name) mm##op##_##name
1031 GET (livep, "MM.livep -> flag: object still valid?")
1032#undef GETSETNAME
1033 { 0 }
1034};
1035
1036static PyMethodDef mpmul_pymethods[] = {
1037#define METHNAME(name) mmmeth_##name
1038 METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)")
1039 METH (done, "MM.done() -> PRODUCT")
1040#undef METHNAME
1041 { 0 }
1042};
1043
1044static PyTypeObject *mpmul_pytype, mpmul_pytype_skel = {
1045 PyObject_HEAD_INIT(0) 0, /* Header */
1046 "catacomb.MPMul", /* @tp_name@ */
1047 sizeof(mpmul_pyobj), /* @tp_basicsize@ */
1048 0, /* @tp_itemsize@ */
1049
1050 mpmul_pydealloc, /* @tp_dealloc@ */
1051 0, /* @tp_print@ */
1052 0, /* @tp_getattr@ */
1053 0, /* @tp_setattr@ */
1054 0, /* @tp_compare@ */
1055 0, /* @tp_repr@ */
1056 0, /* @tp_as_number@ */
1057 0, /* @tp_as_sequence@ */
1058 0, /* @tp_as_mapping@ */
1059 0, /* @tp_hash@ */
1060 0, /* @tp_call@ */
1061 0, /* @tp_str@ */
1062 0, /* @tp_getattro@ */
1063 0, /* @tp_setattro@ */
1064 0, /* @tp_as_buffer@ */
1065 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1066 Py_TPFLAGS_BASETYPE,
1067
1068 /* @tp_doc@ */
1069"An object for multiplying many small integers.",
1070
1071 0, /* @tp_traverse@ */
1072 0, /* @tp_clear@ */
1073 0, /* @tp_richcompare@ */
1074 0, /* @tp_weaklistoffset@ */
1075 0, /* @tp_iter@ */
1076 0, /* @tp_iternext@ */
1077 mpmul_pymethods, /* @tp_methods@ */
1078 0, /* @tp_members@ */
1079 mpmul_pygetset, /* @tp_getset@ */
1080 0, /* @tp_base@ */
1081 0, /* @tp_dict@ */
1082 0, /* @tp_descr_get@ */
1083 0, /* @tp_descr_set@ */
1084 0, /* @tp_dictoffset@ */
1085 0, /* @tp_init@ */
1086 PyType_GenericAlloc, /* @tp_alloc@ */
1087 mpmul_pynew, /* @tp_new@ */
1088 0, /* @tp_free@ */
1089 0 /* @tp_is_gc@ */
1090};
d7ab1bab 1091
1092/*----- Montgomery reduction ----------------------------------------------*/
1093
1094typedef struct mpmont_pyobj {
1095 PyObject_HEAD
1096 mpmont mm;
1097} mpmont_pyobj;
1098
1099#define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm)
1100
1101static PyObject *mmmeth_int(PyObject *me, PyObject *arg)
1102{
1103 PyObject *z = 0;
1104 mp *yy = 0;
1105 mpmont *mm = MPMONT_PY(me);
1106
1107 if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy))
1108 goto end;
1109 mp_div(0, &yy, yy, mm->m);
1110 z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2));
1111end:
1112 if (yy) MP_DROP(yy);
1113 return (z);
1114}
1115
1116static PyObject *mmmeth_mul(PyObject *me, PyObject *arg)
1117{
1118 PyObject *rc = 0;
1119 mp *yy = 0, *zz = 0;
1120
1121 if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz))
1122 goto end;
1123 rc = mp_pywrap(mpmont_mul(MPMONT_PY(me), MP_NEW, yy, zz));
1124end:
1125 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1126 return (rc);
1127}
1128
1129static PyObject *mmmeth_exp(PyObject *me, PyObject *arg)
1130{
1131 PyObject *rc = 0;
1132 mp *yy = 0, *zz = 0;
1133
1134 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1135 goto end;
1136 if (MP_NEGP(zz)) {
1137 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1138 zz = mp_neg(zz, zz);
1139 }
1140 rc = mp_pywrap(mpmont_exp(MPMONT_PY(me), MP_NEW, yy, zz));
1141end:
1142 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1143 return (rc);
1144}
1145
1146static PyObject *mmmeth_expr(PyObject *me, PyObject *arg)
1147{
1148 PyObject *rc = 0;
1149 mp *yy = 0, *zz = 0;
1150
1151 if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz))
1152 goto end;
1153 if (MP_NEGP(zz)) {
1154 yy = mpmont_reduce(MPMONT_PY(me), yy, yy);
1155 if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end;
1156 yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2);
1157 zz = mp_neg(zz, zz);
1158 }
1159 rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz));
1160end:
1161 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1162 return (rc);
1163}
1164
1165static PyObject *mm_mexpr_id(PyObject *me)
1166 { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); }
1167
1168static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1169{
1170 mp *xx = 0, *yy = 0;
1171 mp_expfactor *f = p;
1172 mpmont *mm = MPMONT_PY(me);
1173
1174 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1175 goto fail;
1176 if (MP_NEGP(yy)) {
1177 xx = mpmont_reduce(mm, xx, xx);
1178 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1179 goto fail;
1180 xx = mpmont_mul(mm, xx, xx, mm->r2);
1181 yy = mp_neg(yy, yy);
1182 }
1183 f->base = xx;
1184 f->exp = yy;
1185 return (0);
1186
1187fail:
1188 mp_drop(xx); mp_drop(yy);
1189 return (-1);
1190}
1191
1192static PyObject *mm_mexpr(PyObject *me, void *v, int n)
1193 { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1194
d7ab1bab 1195static void mp_mexp_drop(void *p)
1196{
1197 mp_expfactor *f = p;
1198 mp_drop(f->base);
1199 mp_drop(f->exp);
1200}
1201
1202static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg)
1203{
1204 return mexp_common(me, arg, sizeof(mp_expfactor),
1205 mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop);
1206}
1207
1208static PyObject *mp_mexp_id(PyObject *me)
1209 { return mp_pywrap(MP_ONE); }
1210
1211static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y)
1212{
1213 mp *xx = 0, *yy = 0;
1214 mp_expfactor *f = p;
1215
1216 if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0)
1217 goto fail;
1218 if (MP_NEGP(yy)) {
1219 if ((xx = mp_modinv_checked(xx, xx, yy)) == 0)
1220 goto fail;
1221 yy = mp_neg(yy, yy);
1222 }
1223 f->base = xx;
1224 f->exp = yy;
1225 return (0);
1226
1227fail:
1228 mp_drop(xx); mp_drop(yy);
1229 return (-1);
1230}
1231
1232static PyObject *mm_mexp(PyObject *me, void *v, int n)
1233 { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); }
b2687a0a 1234
d7ab1bab 1235static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg)
1236{
1237 return mexp_common(me, arg, sizeof(mp_expfactor),
1238 mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop);
1239}
1240
1241#define mmmeth_ext mmmeth_reduce
1242static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg)
1243{
1244 PyObject *z = 0;
1245 mp *yy = 0;
1246
1247 if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end;
1248 z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy));
1249end:
1250 return (z);
1251}
1252
1253static void mpmont_pydealloc(PyObject *me)
1254{
1255 mpmont_destroy(MPMONT_PY(me));
3aa33042 1256 FREEOBJ(me);
d7ab1bab 1257}
1258
1259static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1260{
1261 mpmont_pyobj *mm = 0;
1262 char *kwlist[] = { "m", 0 };
1263 mp *xx = 0;
1264
1265 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1266 goto end;
1267 if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd");
1268 mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0);
1269 mpmont_create(&mm->mm, xx);
1270end:
1271 if (xx) MP_DROP(xx);
1272 return ((PyObject *)mm);
1273}
1274
1275static PyObject *mmget_m(PyObject *me, void *hunoz)
1276 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); }
1277
1278static PyObject *mmget_r(PyObject *me, void *hunoz)
1279 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); }
1280
1281static PyObject *mmget_r2(PyObject *me, void *hunoz)
1282 { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); }
1283
1284static PyGetSetDef mpmont_pygetset[] = {
1285#define GETSETNAME(op, name) mm##op##_##name
1286 GET (m, "M.m -> modulus for reduction")
1287 GET (r, "M.r -> multiplicative identity")
1288 GET (r2, "M.r2 -> M.r^2, Montgomerization factor")
1289#undef GETSETNAME
1290 { 0 }
1291};
1292
1293static PyMethodDef mpmont_pymethods[] = {
1294#define METHNAME(name) mmmeth_##name
1295 METH (int, "M.out(X) -> XR")
1296 METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y")
1297 METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m")
1298 METH (mexpr, "\
1299B.mexp([(XR0, N0), (XR1, N1), ...]) = ZR where Z = X0^N0 X1^N1 mod B.m\n\
1300\t(the list may be flattened if this more convenient.)")
1301 METH (reduce, "M.reduce(XR) -> X")
1302 METH (ext, "M.ext(XR) -> X")
1303 METH (exp, "M.exp(X, N) -> X^N mod M.m")
1304 METH (mexp, "\
1305B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 mod B.m\n\
1306\t(the list may be flattened if this more convenient.)")
1307#undef METHNAME
1308 { 0 }
1309};
1310
1311static PyTypeObject *mpmont_pytype, mpmont_pytype_skel = {
6d4db0bf 1312 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 1313 "catacomb.MPMont", /* @tp_name@ */
1314 sizeof(mpmont_pyobj), /* @tp_basicsize@ */
1315 0, /* @tp_itemsize@ */
1316
1317 mpmont_pydealloc, /* @tp_dealloc@ */
1318 0, /* @tp_print@ */
1319 0, /* @tp_getattr@ */
1320 0, /* @tp_setattr@ */
1321 0, /* @tp_compare@ */
1322 0, /* @tp_repr@ */
1323 0, /* @tp_as_number@ */
1324 0, /* @tp_as_sequence@ */
1325 0, /* @tp_as_mapping@ */
1326 0, /* @tp_hash@ */
1327 0, /* @tp_call@ */
1328 0, /* @tp_str@ */
1329 0, /* @tp_getattro@ */
1330 0, /* @tp_setattro@ */
1331 0, /* @tp_as_buffer@ */
1332 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1333 Py_TPFLAGS_BASETYPE,
1334
1335 /* @tp_doc@ */
1336"A Montgomery reduction context.",
1337
1338 0, /* @tp_traverse@ */
1339 0, /* @tp_clear@ */
1340 0, /* @tp_richcompare@ */
1341 0, /* @tp_weaklistoffset@ */
1342 0, /* @tp_iter@ */
963a6148 1343 0, /* @tp_iternext@ */
d7ab1bab 1344 mpmont_pymethods, /* @tp_methods@ */
1345 0, /* @tp_members@ */
1346 mpmont_pygetset, /* @tp_getset@ */
1347 0, /* @tp_base@ */
1348 0, /* @tp_dict@ */
1349 0, /* @tp_descr_get@ */
1350 0, /* @tp_descr_set@ */
1351 0, /* @tp_dictoffset@ */
1352 0, /* @tp_init@ */
1353 PyType_GenericAlloc, /* @tp_alloc@ */
1354 mpmont_pynew, /* @tp_new@ */
3aa33042 1355 0, /* @tp_free@ */
d7ab1bab 1356 0 /* @tp_is_gc@ */
1357};
1358
1359/*----- Barrett reduction -------------------------------------------------*/
1360
1361typedef struct mpbarrett_pyobj {
1362 PyObject_HEAD
1363 mpbarrett mb;
1364} mpbarrett_pyobj;
1365
1366#define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb)
1367
1368static PyObject *mbmeth_exp(PyObject *me, PyObject *arg)
1369{
1370 PyObject *rc = 0;
1371 mp *yy = 0, *zz = 0;
1372
1373 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1374 goto end;
1375 if (MP_NEGP(zz)) {
1376 if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end;
1377 zz = mp_neg(zz, zz);
1378 }
1379 rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz));
1380end:
1381 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1382 return (rc);
1383}
1384
1385static PyObject *mb_mexp(PyObject *me, void *v, int n)
1386 { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); }
b2687a0a 1387
d7ab1bab 1388static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg)
1389{
1390 return mexp_common(me, arg, sizeof(mp_expfactor),
1391 mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop);
1392}
1393
1394static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg)
1395{
1396 PyObject *z = 0;
1397 mp *yy = 0;
1398
1399 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy))
1400 goto end;
1401 z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy));
1402end:
1403 return (z);
1404}
1405
1406static void mpbarrett_pydealloc(PyObject *me)
1407{
1408 mpbarrett_destroy(MPBARRETT_PY(me));
3aa33042 1409 FREEOBJ(me);
d7ab1bab 1410}
1411
1412static PyObject *mpbarrett_pynew(PyTypeObject *ty,
1413 PyObject *arg, PyObject *kw)
1414{
1415 mpbarrett_pyobj *mb = 0;
1416 char *kwlist[] = { "m", 0 };
1417 mp *xx = 0;
1418
1419 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1420 goto end;
1421 if (!MP_POSP(xx)) VALERR("m must be positive");
1422 mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0);
1423 mpbarrett_create(&mb->mb, xx);
1424end:
1425 if (xx) MP_DROP(xx);
1426 return ((PyObject *)mb);
1427}
1428
1429static PyObject *mbget_m(PyObject *me, void *hunoz)
1430 { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); }
1431
1432static PyGetSetDef mpbarrett_pygetset[] = {
1433#define GETSETNAME(op, name) mb##op##_##name
1434 GET (m, "B.m -> modulus for reduction")
1435#undef GETSETNAME
1436 { 0 }
1437};
1438
1439static PyMethodDef mpbarrett_pymethods[] = {
1440#define METHNAME(name) mbmeth_##name
1441 METH (reduce, "B.reduce(X) -> X mod B.m")
1442 METH (exp, "B.exp(X, N) -> X^N mod B.m")
1443 METH (mexp, "\
1444B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 mod B.m\n\
1445\t(the list may be flattened if this more convenient.)")
1446#undef METHNAME
1447 { 0 }
1448};
1449
1450static PyTypeObject *mpbarrett_pytype, mpbarrett_pytype_skel = {
6d4db0bf 1451 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 1452 "catacomb.MPBarrett", /* @tp_name@ */
1453 sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */
1454 0, /* @tp_itemsize@ */
1455
1456 mpbarrett_pydealloc, /* @tp_dealloc@ */
1457 0, /* @tp_print@ */
1458 0, /* @tp_getattr@ */
1459 0, /* @tp_setattr@ */
1460 0, /* @tp_compare@ */
1461 0, /* @tp_repr@ */
1462 0, /* @tp_as_number@ */
1463 0, /* @tp_as_sequence@ */
1464 0, /* @tp_as_mapping@ */
1465 0, /* @tp_hash@ */
1466 0, /* @tp_call@ */
1467 0, /* @tp_str@ */
1468 0, /* @tp_getattro@ */
1469 0, /* @tp_setattro@ */
1470 0, /* @tp_as_buffer@ */
1471 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1472 Py_TPFLAGS_BASETYPE,
1473
1474 /* @tp_doc@ */
1475"A Barrett reduction context.",
1476
1477 0, /* @tp_traverse@ */
1478 0, /* @tp_clear@ */
1479 0, /* @tp_richcompare@ */
1480 0, /* @tp_weaklistoffset@ */
1481 0, /* @tp_iter@ */
963a6148 1482 0, /* @tp_iternext@ */
d7ab1bab 1483 mpbarrett_pymethods, /* @tp_methods@ */
1484 0, /* @tp_members@ */
1485 mpbarrett_pygetset, /* @tp_getset@ */
1486 0, /* @tp_base@ */
1487 0, /* @tp_dict@ */
1488 0, /* @tp_descr_get@ */
1489 0, /* @tp_descr_set@ */
1490 0, /* @tp_dictoffset@ */
1491 0, /* @tp_init@ */
1492 PyType_GenericAlloc, /* @tp_alloc@ */
1493 mpbarrett_pynew, /* @tp_new@ */
3aa33042 1494 0, /* @tp_free@ */
d7ab1bab 1495 0 /* @tp_is_gc@ */
1496};
1497
1498/*----- Nice prime reduction ----------------------------------------------*/
1499
1500typedef struct mpreduce_pyobj {
1501 PyObject_HEAD
1502 mpreduce mr;
1503} mpreduce_pyobj;
1504
1505#define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr)
1506
1507static PyObject *mrmeth_exp(PyObject *me, PyObject *arg)
1508{
1509 PyObject *rc = 0;
1510 mp *yy = 0, *zz = 0;
1511
1512 if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz))
1513 goto end;
1514 if (MP_NEGP(zz)) {
1515 if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end;
1516 zz = mp_neg(zz, zz);
1517 }
1518 rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz));
1519end:
1520 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
1521 return (rc);
1522}
1523
1524static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg)
1525{
1526 PyObject *z = 0;
1527 mp *yy = 0;
1528
1529 if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end;
1530 z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy));
1531end:
1532 return (z);
1533}
1534
1535static void mpreduce_pydealloc(PyObject *me)
1536{
1537 mpreduce_destroy(MPREDUCE_PY(me));
3aa33042 1538 FREEOBJ(me);
d7ab1bab 1539}
1540
1541static PyObject *mpreduce_pynew(PyTypeObject *ty,
1542 PyObject *arg, PyObject *kw)
1543{
1544 mpreduce_pyobj *mr = 0;
1545 mpreduce r;
1546 char *kwlist[] = { "m", 0 };
1547 mp *xx = 0;
1548
1549 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
1550 goto end;
1551 if (!MP_POSP(xx)) VALERR("m must be positive");
1552 if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)");
1553 mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0);
1554 mr->mr = r;
1555end:
1556 if (xx) MP_DROP(xx);
1557 return ((PyObject *)mr);
1558}
1559
1560static PyObject *mrget_m(PyObject *me, void *hunoz)
1561 { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); }
1562
1563static PyGetSetDef mpreduce_pygetset[] = {
1564#define GETSETNAME(op, name) mr##op##_##name
1565 GET (m, "R.m -> modulus for reduction")
1566#undef GETSETNAME
1567 { 0 }
1568};
1569
1570static PyMethodDef mpreduce_pymethods[] = {
1571#define METHNAME(name) mrmeth_##name
1572 METH (reduce, "R.reduce(X) -> X mod B.m")
1573 METH (exp, "R.exp(X, N) -> X^N mod B.m")
1574#undef METHNAME
1575 { 0 }
1576};
1577
1578static PyTypeObject *mpreduce_pytype, mpreduce_pytype_skel = {
6d4db0bf 1579 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 1580 "catacomb.MPReduce", /* @tp_name@ */
1581 sizeof(mpreduce_pyobj), /* @tp_basicsize@ */
1582 0, /* @tp_itemsize@ */
1583
1584 mpreduce_pydealloc, /* @tp_dealloc@ */
1585 0, /* @tp_print@ */
1586 0, /* @tp_getattr@ */
1587 0, /* @tp_setattr@ */
1588 0, /* @tp_compare@ */
1589 0, /* @tp_repr@ */
1590 0, /* @tp_as_number@ */
1591 0, /* @tp_as_sequence@ */
1592 0, /* @tp_as_mapping@ */
1593 0, /* @tp_hash@ */
1594 0, /* @tp_call@ */
1595 0, /* @tp_str@ */
1596 0, /* @tp_getattro@ */
1597 0, /* @tp_setattro@ */
1598 0, /* @tp_as_buffer@ */
1599 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1600 Py_TPFLAGS_BASETYPE,
1601
1602 /* @tp_doc@ */
1603"A reduction context for reduction modulo primes of special form.",
1604
1605 0, /* @tp_traverse@ */
1606 0, /* @tp_clear@ */
1607 0, /* @tp_richcompare@ */
1608 0, /* @tp_weaklistoffset@ */
1609 0, /* @tp_iter@ */
963a6148 1610 0, /* @tp_iternext@ */
d7ab1bab 1611 mpreduce_pymethods, /* @tp_methods@ */
1612 0, /* @tp_members@ */
1613 mpreduce_pygetset, /* @tp_getset@ */
1614 0, /* @tp_base@ */
1615 0, /* @tp_dict@ */
1616 0, /* @tp_descr_get@ */
1617 0, /* @tp_descr_set@ */
1618 0, /* @tp_dictoffset@ */
1619 0, /* @tp_init@ */
1620 PyType_GenericAlloc, /* @tp_alloc@ */
1621 mpreduce_pynew, /* @tp_new@ */
3aa33042 1622 0, /* @tp_free@ */
d7ab1bab 1623 0 /* @tp_is_gc@ */
1624};
1625
1626/*----- Chinese Remainder Theorem solution --------------------------------*/
1627
1628typedef struct mpcrt_pyobj {
1629 PyObject_HEAD
1630 mpcrt c;
1631} mpcrt_pyobj;
1632
1633#define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c)
1634
1635static PyObject *mcmeth_solve(PyObject *me, PyObject *arg)
1636{
1637 mpcrt *c = MPCRT_PY(me);
1638 PyObject *q = 0, *x, *z = 0;
1639 mp *xx;
1640 mp **v = 0;
1641 int i = 0, n = c->k;
1642
1643 Py_INCREF(me);
1644 if (PyTuple_Size(arg) == n)
1645 q = arg;
1646 else if (!PyArg_ParseTuple(arg, "O:solve", &q))
1647 goto end;
1648 Py_INCREF(q);
1649 if (!PySequence_Check(q)) TYERR("want a sequence of residues");
1650 if (PySequence_Size(q) != n) VALERR("residue count mismatch");
1651 v = xmalloc(n * sizeof(*v));
1652 for (i = 0; i < n; i++) {
1653 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1654 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1655 v[i] = xx;
1656 }
1657 z = mp_pywrap(mpcrt_solve(c, MP_NEW, v));
1658end:
1659 if (v) {
1660 n = i;
1661 for (i = 0; i < n; i++)
1662 MP_DROP(v[i]);
1663 xfree(v);
1664 }
1665 Py_DECREF(me);
1666 Py_XDECREF(q);
1667 return (z);
1668}
1669
1670static void mpcrt_pydealloc(PyObject *me)
1671{
1672 mpcrt *c = MPCRT_PY(me);
1673 mpcrt_destroy(c);
1674 xfree(c->v);
1675}
1676
1677static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1678{
1679 mpcrt_mod *v = 0;
1680 int n, i = 0;
1681 char *kwlist[] = { "mv", 0 };
1682 PyObject *q = 0, *x;
1683 mp *xx;
1684 mpcrt_pyobj *c = 0;
1685
1686 if (PyTuple_Size(arg) > 1)
1687 q = arg;
1688 else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", kwlist, &q))
1689 goto end;
1690 Py_INCREF(q);
1691 if (!PySequence_Check(q)) TYERR("want a sequence of moduli");
1692 n = PySequence_Size(q);
1693 if (PyErr_Occurred()) goto end;
1694 if (!n) VALERR("want at least one modulus");
1695 v = xmalloc(n * sizeof(*v));
1696 for (i = 0; i < n; i++) {
1697 if ((x = PySequence_GetItem(q, i)) == 0) goto end;
1698 xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
1699 v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0;
1700 }
1701 c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0);
1702 mpcrt_create(&c->c, v, n, 0);
1703 Py_DECREF(q);
1704 return ((PyObject *)c);
1705
1706end:
1707 if (v) {
1708 n = i;
1709 for (i = 0; i < n; i++)
1710 MP_DROP(v[i].m);
1711 xfree(v);
1712 }
1713 Py_XDECREF(q);
1714 return (0);
1715}
1716
1717static PyObject *mcget_product(PyObject *me, void *hunoz)
1718 { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); }
1719
1720static PyObject *mcget_moduli(PyObject *me, void *hunoz)
1721{
1722 int i;
1723 PyObject *q;
1724 mpcrt *c = MPCRT_PY(me);
1725
1726 if ((q = PyList_New(c->k)) == 0) return (0);
1727 for (i = 0; i < c->k; i++)
1728 PyList_SetItem(q, i, mp_pywrap(c->v[i].m));
1729 return (q);
1730}
1731
1732static PyGetSetDef mpcrt_pygetset[] = {
1733#define GETSETNAME(op, name) mc##op##_##name
1734 GET (product, "C.product -> product of moduli")
1735 GET (moduli, "C.moduli -> list of individual moduli")
1736#undef GETSETNAME
1737 { 0 }
1738};
1739
1740static PyMethodDef mpcrt_pymethods[] = {
1741#define METHNAME(name) mcmeth_##name
1742 METH (solve, "C.solve([R0, R1]) -> X mod C.product")
1743#undef METHNAME
1744 { 0 }
1745};
1746
1747static PyTypeObject *mpcrt_pytype, mpcrt_pytype_skel = {
6d4db0bf 1748 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 1749 "catacomb.MPCRT", /* @tp_name@ */
1750 sizeof(mpcrt_pyobj), /* @tp_basicsize@ */
1751 0, /* @tp_itemsize@ */
1752
1753 mpcrt_pydealloc, /* @tp_dealloc@ */
1754 0, /* @tp_print@ */
1755 0, /* @tp_getattr@ */
1756 0, /* @tp_setattr@ */
1757 0, /* @tp_compare@ */
1758 0, /* @tp_repr@ */
1759 0, /* @tp_as_number@ */
1760 0, /* @tp_as_sequence@ */
1761 0, /* @tp_as_mapping@ */
1762 0, /* @tp_hash@ */
1763 0, /* @tp_call@ */
1764 0, /* @tp_str@ */
1765 0, /* @tp_getattro@ */
1766 0, /* @tp_setattro@ */
1767 0, /* @tp_as_buffer@ */
1768 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
1769 Py_TPFLAGS_BASETYPE,
1770
1771 /* @tp_doc@ */
1772"A context for the solution of Chinese Remainder Theorem problems.",
1773
1774 0, /* @tp_traverse@ */
1775 0, /* @tp_clear@ */
1776 0, /* @tp_richcompare@ */
1777 0, /* @tp_weaklistoffset@ */
1778 0, /* @tp_iter@ */
963a6148 1779 0, /* @tp_iternext@ */
d7ab1bab 1780 mpcrt_pymethods, /* @tp_methods@ */
1781 0, /* @tp_members@ */
1782 mpcrt_pygetset, /* @tp_getset@ */
1783 0, /* @tp_base@ */
1784 0, /* @tp_dict@ */
1785 0, /* @tp_descr_get@ */
1786 0, /* @tp_descr_set@ */
1787 0, /* @tp_dictoffset@ */
1788 0, /* @tp_init@ */
1789 PyType_GenericAlloc, /* @tp_alloc@ */
1790 mpcrt_pynew, /* @tp_new@ */
3aa33042 1791 0, /* @tp_free@ */
d7ab1bab 1792 0 /* @tp_is_gc@ */
1793};
1794
1795/*----- Binary polynomials ------------------------------------------------*/
1796
1797static PyObject *gf_pyrepr(PyObject *o)
1798 { return mp_topystring(MP_X(o), 16, "GF(", "0x", "L)"); }
1799
1800static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op)
1801{
1802 mp *xx, *yy;
1803 int xl, yl;
1804 int b;
1805
bf8910bd 1806 if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL;
d7ab1bab 1807 switch (op) {
1808 case Py_EQ: b = MP_EQ(xx, yy); break;
1809 case Py_NE: b = !MP_EQ(xx, yy); break;
1810 default:
1811 xl = mp_bits(xx);
1812 yl = mp_bits(yy);
1813 switch (op) {
1814 case Py_LT: b = xl < yl; break;
1815 case Py_LE: b = xl <= yl; break;
1816 case Py_GT: b = xl > yl; break;
1817 case Py_GE: b = xl >= yl; break;
1818 default: abort();
1819 }
1820 break;
1821 }
1822 MP_DROP(xx); MP_DROP(yy);
1823 return (getbool(b));
1824}
1825
1826static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
1827{
1828 PyObject *x;
1829 mp *z;
1830 mp_pyobj *zz = 0;
1831 int radix = 0;
1832 char *kwlist[] = { "x", "radix", 0 };
1833
1834 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", kwlist, &x, &radix))
1835 goto end;
1836 if (GF_PYCHECK(x)) RETURN_OBJ(x);
f368b46e 1837 if (!good_radix_p(radix, 1)) VALERR("radix out of range");
d7ab1bab 1838 if ((z = mp_frompyobject(x, radix)) == 0) {
1839 PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf",
1840 x->ob_type->tp_name);
1841 goto end;
1842 }
1843 if (MP_NEGP(z)) {
1844 MP_DROP(z);
1845 VALERR("gf cannot be negative");
1846 }
1847 zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
1848 zz->x = z;
1849end:
1850 return ((PyObject *)zz);
1851}
1852
1853static long gf_pyhash(PyObject *me)
1854{
1855 long i = mp_tolong(MP_X(me));
1856 i ^= 0xc7ecd67c; /* random perturbance */
1857 if (i == -1)
1858 i = -2;
1859 return (i);
1860}
1861
1862static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z)
1863{
1864 mp *xx = 0, *yy = 0, *zz = 0;
1865 mp *r = 0;
1866 PyObject *rc = 0;
1867
1868 if ((xx = tomp(x)) == 0 || (yy = tomp(y)) == 0 ||
1869 (z && z != Py_None && (zz = tomp(z)) == 0)) {
1870 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1871 RETURN_NOTIMPL;
1872 }
1873 if (!z || z == Py_None) {
1874 if (MP_NEGP(yy)) VALERR("negative exponent");
1875 r = gf_exp(MP_NEW, xx, yy);
1876 } else {
1877 gfreduce gr;
1878 if (MP_ZEROP(zz)) ZDIVERR("zero modulus");
1879 if (MP_NEGP(yy)) {
1880 if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end;
1881 yy = mp_neg(yy, yy);
1882 }
1883 gfreduce_create(&gr, zz);
1884 r = gfreduce_exp(&gr, MP_NEW, xx, yy);
1885 gfreduce_destroy(&gr);
1886 }
1887 rc = gf_pywrap(r);
1888end:
1889 mp_drop(xx); mp_drop(yy); mp_drop(zz);
1890 return (rc);
1891}
1892
1893static PyObject *gfmeth_sqr(PyObject *me, PyObject *arg)
1894{
1895 if (!PyArg_ParseTuple(arg, ":sqr")) return (0);
1896 return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me))));
1897}
1898
1899static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg)
1900{
1901 PyObject *z = 0;
1902 mp *yy = 0, *zz = MP_NEW;
1903
1904 if (!PyArg_ParseTuple(arg, "O&:gcd", convgf, &yy)) goto end;
1905 gf_gcd(&zz, 0, 0, MP_X(me), yy);
1906 z = gf_pywrap(zz);
1907end:
1908 if (yy) MP_DROP(yy);
1909 return (z);
1910}
1911
1912static PyObject *gfmeth_gcdx(PyObject *me, PyObject *arg)
1913{
1914 PyObject *z = 0;
1915 mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW;
1916
1917 if (!PyArg_ParseTuple(arg, "O&:gcdx", convgf, &yy))
1918 goto end;
1919 gf_gcd(&zz, &uu, &vv, MP_X(me), yy);
1920 z = Py_BuildValue("(NNN)",
1921 gf_pywrap(zz), gf_pywrap(uu), gf_pywrap(vv));
1922end:
1923 if (yy) MP_DROP(yy);
1924 return (z);
1925}
1926
1927static PyObject *gfmeth_modinv(PyObject *me, PyObject *arg)
1928{
1929 PyObject *z = 0;
1930 mp *yy = 0, *zz = MP_NEW;
1931
1932 if (!PyArg_ParseTuple(arg, "O&:modinv", convgf, &yy) ||
1933 (zz = gf_modinv_checked(MP_NEW, yy, MP_X(me))) == 0)
1934 goto end;
1935 z = gf_pywrap(zz);
1936end:
1937 if (yy) MP_DROP(yy);
1938 return (z);
1939}
1940
1941static PyObject *gfmeth_irreduciblep(PyObject *me, PyObject *arg)
1942{
1943 if (!PyArg_ParseTuple(arg, ":irreduciblep")) return (0);
1944 return getbool(gf_irreduciblep(MP_X(me)));
1945}
1946
1947static PyObject *gfget_degree(PyObject *me, void *hunoz)
1948 { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); }
1949
1950static PyGetSetDef gf_pygetset[] = {
1951#define GETSETNAME(op, name) gf##op##_##name
1952 GET (degree, "X.degree -> polynomial degree of X")
1953#undef GETSETNAME
1954#define GETSETNAME(op, name) mp##op##_##name
1955 GET (nbits, "X.nbits -> bit length of X")
1956 GET (noctets, "X.noctets -> octet length of X")
1957#undef GETSETNAME
1958 { 0 }
1959};
1960
1961static PyMethodDef gf_pymethods[] = {
1962#define METHNAME(func) gfmeth_##func
1963 METH (setbit, "X.setbit(N) -> X with bit N set")
1964 METH (clearbit, "X.clearbit(N) -> X with bit N clear")
1965 METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
1966 METH (sqr, "X.sqr() -> X^2")
1967 METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
1968 METH (gcdx,
1969 "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
1970 METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
b2687a0a 1971 METH (irreduciblep, "X.irreduciblep() -> true/false")
d7ab1bab 1972#undef METHNAME
1973#define METHNAME(func) mpmeth_##func
1974 KWMETH(tostring, "X.tostring(radix = 10) -> STR")
1975 KWMETH(storel, "X.storel(len = -1) -> little-endian bytes")
1976 KWMETH(storeb, "X.storeb(len = -1) -> big-endian bytes")
1977 KWMETH(storel2c,
1978 "X.storel2c(len = -1) -> little-endian bytes, two's complement")
1979 KWMETH(storeb2c,
1980 "X.storeb2c(len = -1) -> big-endian bytes, two's complement")
1981 METH (tobuf, "X.tobuf() -> buffer format")
1982#undef METHNAME
1983 { 0 }
1984};
1985
1986static PyNumberMethods gf_pynumber = {
1987 gf_pyadd, /* @nb_add@ */
1988 gf_pysub, /* @nb_subtract@ */
1989 gf_pymul, /* @nb_multiply@ */
1990 0, /* @nb_divide@ */
1991 gf_pymod, /* @nb_remainder@ */
1992 gf_pydivmod, /* @nb_divmod@ */
1993 gf_pyexp, /* @nb_power@ */
1994 mp_pyid, /* @nb_negative@ */
1995 mp_pyid, /* @nb_positive@ */
1996 mp_pyid, /* @nb_absolute@ */
1997 mp_pynonzerop, /* @nb_nonzero@ */
1998 0 /* doesn't make any sense */, /* @nb_invert@ */
1999 gf_pylsl, /* @nb_lshift@ */
2000 gf_pylsr, /* @nb_rshift@ */
2001 gf_pyand, /* @nb_and@ */
2002 gf_pyxor, /* @nb_xor@ */
2003 gf_pyor, /* @nb_or@ */
2004 gf_pycoerce, /* @nb_coerce@ */
2005 mp_pyint, /* @nb_int@ */
2006 mp_pylong, /* @nb_long@ */
2007 0 /* doesn't make any sense */, /* @nb_float@ */
2008 mp_pyoct, /* @nb_oct@ */
2009 mp_pyhex, /* @nb_hex@ */
2010
2011 0, /* @nb_inplace_add@ */
2012 0, /* @nb_inplace_subtract@ */
2013 0, /* @nb_inplace_multiply@ */
2014 0, /* @nb_inplace_divide@ */
2015 0, /* @nb_inplace_remainder@ */
2016 0, /* @nb_inplace_power@ */
2017 0, /* @nb_inplace_lshift@ */
2018 0, /* @nb_inplace_rshift@ */
2019 0, /* @nb_inplace_and@ */
2020 0, /* @nb_inplace_xor@ */
2021 0, /* @nb_inplace_or@ */
2022
2023 gf_pydiv, /* @nb_floor_divide@ */
2024 0, /* @nb_true_divide@ */
2025 0, /* @nb_inplace_floor_divide@ */
2026 0, /* @nb_inplace_true_divide@ */
2027};
2028
2029static PyTypeObject gf_pytype_skel = {
6d4db0bf 2030 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 2031 "catacomb.GF", /* @tp_name@ */
2032 sizeof(mp_pyobj), /* @tp_basicsize@ */
2033 0, /* @tp_itemsize@ */
2034
2035 mp_pydealloc, /* @tp_dealloc@ */
2036 0, /* @tp_print@ */
2037 0, /* @tp_getattr@ */
2038 0, /* @tp_setattr@ */
2039 0, /* @tp_compare@ */
2040 gf_pyrepr, /* @tp_repr@ */
2041 &gf_pynumber, /* @tp_as_number@ */
2042 0, /* @tp_as_sequence@ */
2043 0, /* @tp_as_mapping@ */
2044 gf_pyhash, /* @tp_hash@ */
2045 0, /* @tp_call@ */
2046 mp_pyhex, /* @tp_str@ */
2047 0, /* @tp_getattro@ */
2048 0, /* @tp_setattro@ */
2049 0, /* @tp_as_buffer@ */
2050 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2051 Py_TPFLAGS_CHECKTYPES |
2052 Py_TPFLAGS_BASETYPE,
2053
2054 /* @tp_doc@ */
2055"Binary polynomials. Support almost all the standard arithmetic\n\
2056operations.\n\
2057\n\
2058Constructor gf(X, radix = R) attempts to convert X to a `gf'. If\n\
2059X is a string, it's read in radix-R form, or we look for a prefix\n\
2060if R = 0. Other acceptable things are ints and longs.\n\
2061\n\
2062The name is hopelessly wrong from a technical point of view, but\n\
2063but it's much easier to type than `p2' or `c2' or whatever.\n\
2064\n\
2065Notes:\n\
2066\n\
2067 * Use `//' for division. GFs don't have `/' division.",
2068
2069 0, /* @tp_traverse@ */
2070 0, /* @tp_clear@ */
2071 gf_pyrichcompare, /* @tp_richcompare@ */
2072 0, /* @tp_weaklistoffset@ */
2073 0, /* @tp_iter@ */
963a6148 2074 0, /* @tp_iternext@ */
d7ab1bab 2075 gf_pymethods, /* @tp_methods@ */
2076 0, /* @tp_members@ */
2077 gf_pygetset, /* @tp_getset@ */
2078 0, /* @tp_base@ */
2079 0, /* @tp_dict@ */
2080 0, /* @tp_descr_get@ */
2081 0, /* @tp_descr_set@ */
2082 0, /* @tp_dictoffset@ */
2083 0, /* @tp_init@ */
2084 PyType_GenericAlloc, /* @tp_alloc@ */
2085 gf_pynew, /* @tp_new@ */
3aa33042 2086 0, /* @tp_free@ */
d7ab1bab 2087 0 /* @tp_is_gc@ */
2088};
2089
2090static PyObject *meth__GF_fromstring(PyObject *me,
2091 PyObject *arg, PyObject *kw)
2092{
2093 int r = 0;
2094 char *p;
2095 int len;
2096 PyObject *z = 0;
2097 mp *zz;
2098 mptext_stringctx sc;
2099 char *kwlist[] = { "class", "x", "radix", 0 };
2100
2101 if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring",
2102 kwlist, &me, &p, &len, &r))
2103 goto end;
4b3890c7 2104 if (!good_radix_p(r, 1)) VALERR("bad radix");
d7ab1bab 2105 sc.buf = p; sc.lim = p + len;
4b3890c7
MW		 2106 if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 ||
2107 MP_NEGP(zz)) {
2108 if (zz) MP_DROP(zz);
2109 SYNERR("bad binary polynomial");
2110 }
2111 z = Py_BuildValue("(Ns#)", gf_pywrap(zz), sc.buf, (int)(sc.lim - sc.buf));
d7ab1bab 2112end:
2113 return (z);
2114}
2115
2116/*----- Sparse poly reduction ---------------------------------------------*/
2117
2118typedef struct gfreduce_pyobj {
2119 PyObject_HEAD
2120 gfreduce mr;
2121} gfreduce_pyobj;
2122
2123#define GFREDUCE_PY(o) (&((gfreduce_pyobj *)(o))->mr)
2124
2125static PyObject *grmeth_exp(PyObject *me, PyObject *arg)
2126{
2127 PyObject *rc = 0;
2128 mp *yy = 0, *zz = 0;
2129
2130 if (!PyArg_ParseTuple(arg, "O&O&:exp", convgf, &yy, convgf, &zz))
2131 goto end;
2132 if (MP_NEGP(zz)) {
2133 if ((yy = gf_modinv_checked(yy, yy, GFREDUCE_PY(me)->p)) == 0) goto end;
2134 zz = mp_neg(zz, zz);
2135 }
2136 rc = gf_pywrap(gfreduce_exp(GFREDUCE_PY(me), MP_NEW, yy, zz));
2137end:
2138 if (yy) MP_DROP(yy); if (zz) MP_DROP(zz);
2139 return (rc);
2140}
2141
fbc145f3
MW		 2142static PyObject *grmeth_trace(PyObject *me, PyObject *arg)
2143{
2144 PyObject *rc = 0;
2145 mp *xx = 0;
2146
2147 if (!PyArg_ParseTuple(arg, "O&:trace", convgf, &xx)) goto end;
2148 rc = PyInt_FromLong(gfreduce_trace(GFREDUCE_PY(me), xx));
2149end:
2150 if (xx) MP_DROP(xx);
2151 return (rc);
2152}
2153
2154static PyObject *grmeth_halftrace(PyObject *me, PyObject *arg)
2155{
2156 PyObject *rc = 0;
2157 mp *xx = 0;
2158
2159 if (!PyArg_ParseTuple(arg, "O&:halftrace", convgf, &xx)) goto end;
2160 rc = gf_pywrap(gfreduce_halftrace(GFREDUCE_PY(me), MP_NEW, xx));
2161end:
2162 if (xx) MP_DROP(xx);
2163 return (rc);
2164}
2165
2166static PyObject *grmeth_sqrt(PyObject *me, PyObject *arg)
2167{
2168 PyObject *rc = 0;
2169 mp *xx = 0, *yy;
2170
2171 if (!PyArg_ParseTuple(arg, "O&:sqrt", convgf, &xx)) goto end;
2172 if ((yy = gfreduce_sqrt(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
2173 VALERR("no modular square root");
2174 rc = gf_pywrap(yy);
2175end:
2176 if (xx) MP_DROP(xx);
2177 return (rc);
2178}
2179
2180static PyObject *grmeth_quadsolve(PyObject *me, PyObject *arg)
2181{
2182 PyObject *rc = 0;
2183 mp *xx = 0, *yy;
2184
2185 if (!PyArg_ParseTuple(arg, "O&:quadsolve", convgf, &xx)) goto end;
2186 if ((yy = gfreduce_quadsolve(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
2187 VALERR("no solution found");
2188 rc = gf_pywrap(yy);
2189end:
2190 if (xx) MP_DROP(xx);
2191 return (rc);
2192}
2193
d7ab1bab 2194static PyObject *grmeth_reduce(PyObject *me, PyObject *arg)
2195{
2196 PyObject *z = 0;
2197 mp *yy = 0;
2198
2199 if (!PyArg_ParseTuple(arg, "O&:reduce", convgf, &yy)) goto end;
2200 z = gf_pywrap(gfreduce_do(GFREDUCE_PY(me), MP_NEW, yy));
2201end:
2202 return (z);
2203}
2204
2205static void gfreduce_pydealloc(PyObject *me)
2206{
2207 gfreduce_destroy(GFREDUCE_PY(me));
3aa33042 2208 FREEOBJ(me);
d7ab1bab 2209}
2210
2211static PyObject *gfreduce_pynew(PyTypeObject *ty,
2212 PyObject *arg, PyObject *kw)
2213{
2214 gfreduce_pyobj *mr = 0;
2215 gfreduce r;
2216 char *kwlist[] = { "m", 0 };
2217 mp *xx = 0;
2218
2219 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convgf, &xx))
2220 goto end;
2221 if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!");
2222 gfreduce_create(&r, xx);
2223 mr = (gfreduce_pyobj *)ty->tp_alloc(ty, 0);
2224 mr->mr = r;
2225end:
2226 if (xx) MP_DROP(xx);
2227 return ((PyObject *)mr);
2228}
2229
2230static PyObject *grget_m(PyObject *me, void *hunoz)
2231 { return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); }
2232
2233static PyGetSetDef gfreduce_pygetset[] = {
2234#define GETSETNAME(op, name) gr##op##_##name
2235 GET (m, "R.m -> reduction polynomial")
2236#undef GETSETNAME
2237 { 0 }
2238};
2239
2240static PyMethodDef gfreduce_pymethods[] = {
2241#define METHNAME(name) grmeth_##name
2242 METH (reduce, "R.reduce(X) -> X mod B.m")
fbc145f3
MW		 2243 METH (trace, "R.trace(X) -> Tr(X) = x + x^2 + ... + x^{2^{m - 1}}")
2244 METH (halftrace, "R.halftrace(X) -> x + x^{2^2} + ... + x^{2^{m - 1}}")
2245 METH (sqrt, "R.sqrt(X) -> Y where Y^2 = X mod R")
2246 METH (quadsolve, "R.quadsolve(X) -> Y where Y^2 + Y = X mod R")
d7ab1bab 2247 METH (exp, "R.exp(X, N) -> X^N mod B.m")
2248#undef METHNAME
2249 { 0 }
2250};
2251
2252static PyTypeObject *gfreduce_pytype, gfreduce_pytype_skel = {
6d4db0bf 2253 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 2254 "catacomb.GFReduce", /* @tp_name@ */
2255 sizeof(gfreduce_pyobj), /* @tp_basicsize@ */
2256 0, /* @tp_itemsize@ */
2257
2258 gfreduce_pydealloc, /* @tp_dealloc@ */
2259 0, /* @tp_print@ */
2260 0, /* @tp_getattr@ */
2261 0, /* @tp_setattr@ */
2262 0, /* @tp_compare@ */
2263 0, /* @tp_repr@ */
2264 0, /* @tp_as_number@ */
2265 0, /* @tp_as_sequence@ */
2266 0, /* @tp_as_mapping@ */
2267 0, /* @tp_hash@ */
2268 0, /* @tp_call@ */
2269 0, /* @tp_str@ */
2270 0, /* @tp_getattro@ */
2271 0, /* @tp_setattro@ */
2272 0, /* @tp_as_buffer@ */
2273 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2274 Py_TPFLAGS_BASETYPE,
2275
2276 /* @tp_doc@ */
2277"A reduction context for reduction modulo sparse irreducible polynomials.",
2278
2279 0, /* @tp_traverse@ */
2280 0, /* @tp_clear@ */
2281 0, /* @tp_richcompare@ */
2282 0, /* @tp_weaklistoffset@ */
2283 0, /* @tp_iter@ */
963a6148 2284 0, /* @tp_iternext@ */
d7ab1bab 2285 gfreduce_pymethods, /* @tp_methods@ */
2286 0, /* @tp_members@ */
2287 gfreduce_pygetset, /* @tp_getset@ */
2288 0, /* @tp_base@ */
2289 0, /* @tp_dict@ */
2290 0, /* @tp_descr_get@ */
2291 0, /* @tp_descr_set@ */
2292 0, /* @tp_dictoffset@ */
2293 0, /* @tp_init@ */
2294 PyType_GenericAlloc, /* @tp_alloc@ */
2295 gfreduce_pynew, /* @tp_new@ */
3aa33042 2296 0, /* @tp_free@ */
d7ab1bab 2297 0 /* @tp_is_gc@ */
2298};
2299
2300/*----- Normal/poly transformation ----------------------------------------*/
2301
2302typedef struct gfn_pyobj {
2303 PyObject_HEAD
2304 mp *p;
2305 gfn ntop, pton;
2306} gfn_pyobj;
2307
2308static PyTypeObject *gfn_pytype, gfn_pytype_skel;
2309
2310#define GFN_P(o) (((gfn_pyobj *)(o))->p)
2311#define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton)
2312#define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop)
2313
2314static PyObject *gfn_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
2315{
2316 mp *p = 0, *beta = 0;
2317 gfn_pyobj *gg = 0;
2318 char *kwlist[] = { "p", "beta", 0 };
2319
2320 if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", kwlist,
2321 convgf, &p, convgf, &beta))
2322 goto end;
2323 gg = PyObject_New(gfn_pyobj, ty);
2324 if (gfn_create(p, beta, &gg->ntop, &gg->pton)) {
3aa33042 2325 FREEOBJ(gg);
d7ab1bab 2326 gg = 0;
2327 VALERR("can't invert transformation matrix");
2328 }
2329 gg->p = MP_COPY(p);
2330end:
2331 mp_drop(p);
2332 mp_drop(beta);
2333 return ((PyObject *)gg);
2334}
2335
2336static PyObject *gfnget_p(PyObject *me, void *hunoz)
2337 { return (gf_pywrap(MP_COPY(GFN_P(me)))); }
2338
2339static PyObject *gfnget_beta(PyObject *me, void *hunoz)
2340{
2341 gfn *n = GFN_NTOP(me);
2342 mp *x = n->r[n->n - 1];
2343 return (gf_pywrap(MP_COPY(x)));
2344}
2345
2346#define XFORMOP(name, NAME) \
2347 static PyObject *gfnmeth_##name(PyObject *me, PyObject *arg) \
2348 { \
2349 mp *xx = 0; \
2350 mp *z = 0; \
2351 \
2352 if (!PyArg_ParseTuple(arg, "O&:" #name, convgf, &xx)) goto end; \
2353 z = gfn_transform(GFN_##NAME(me), MP_NEW, xx); \
2354 end: \
2355 mp_drop(xx); \
2356 if (!z) return (0); \
2357 return (mp_pywrap(z)); \
2358 }
2359XFORMOP(pton, PTON)
2360XFORMOP(ntop, NTOP)
2361#undef XFORMOP
2362
2363static void gfn_pydealloc(PyObject *me)
2364{
2365 gfn_destroy(GFN_PTON(me));
2366 gfn_destroy(GFN_NTOP(me));
3aa33042 2367 FREEOBJ(me);
d7ab1bab 2368}
2369
2370static PyGetSetDef gfn_pygetset[] = {
2371#define GETSETNAME(op, name) gfn##op##_##name
2372 GET (p, "X.p -> polynomial basis, as polynomial")
2373 GET (beta, "X.beta -> normal basis element, in poly form")
2374#undef GETSETNAME
2375 { 0 }
2376};
2377
2378static PyMethodDef gfn_pymethods[] = {
2379#define METHNAME(name) gfnmeth_##name
2380 METH (pton, "X.pton(A) -> normal-basis representation of A")
2381 METH (ntop, "X.ntop(A) -> polynomial-basis representation of A")
2382#undef METHNAME
2383 { 0 }
2384};
2385
2386static PyTypeObject gfn_pytype_skel = {
6d4db0bf 2387 PyObject_HEAD_INIT(0) 0, /* Header */
d7ab1bab 2388 "catacomb.GFN", /* @tp_name@ */
2389 sizeof(gfn_pyobj), /* @tp_basicsize@ */
2390 0, /* @tp_itemsize@ */
2391
2392 gfn_pydealloc, /* @tp_dealloc@ */
2393 0, /* @tp_print@ */
2394 0, /* @tp_getattr@ */
2395 0, /* @tp_setattr@ */
2396 0, /* @tp_compare@ */
2397 0, /* @tp_repr@ */
2398 0, /* @tp_as_number@ */
2399 0, /* @tp_as_sequence@ */
2400 0, /* @tp_as_mapping@ */
2401 0, /* @tp_hash@ */
2402 0, /* @tp_call@ */
2403 0, /* @tp_str@ */
2404 0, /* @tp_getattro@ */
2405 0, /* @tp_setattro@ */
2406 0, /* @tp_as_buffer@ */
2407 Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
2408 Py_TPFLAGS_BASETYPE,
2409
2410 /* @tp_doc@ */
2411"An object for transforming elements of binary fields between polynomial\n\
2412and normal basis representations.",
2413
2414 0, /* @tp_traverse@ */
2415 0, /* @tp_clear@ */
2416 0, /* @tp_richcompare@ */
2417 0, /* @tp_weaklistoffset@ */
2418 0, /* @tp_iter@ */
963a6148 2419 0, /* @tp_iternext@ */
d7ab1bab 2420 gfn_pymethods, /* @tp_methods@ */
2421 0, /* @tp_members@ */
2422 gfn_pygetset, /* @tp_getset@ */
2423 0, /* @tp_base@ */
2424 0, /* @tp_dict@ */
2425 0, /* @tp_descr_get@ */
2426 0, /* @tp_descr_set@ */
2427 0, /* @tp_dictoffset@ */
2428 0, /* @tp_init@ */
2429 PyType_GenericAlloc, /* @tp_alloc@ */
2430 gfn_pynew, /* @tp_new@ */
3aa33042 2431 0, /* @tp_free@ */
d7ab1bab 2432 0 /* @tp_is_gc@ */
2433};
2434
2435/*----- Glue --------------------------------------------------------------*/
2436
2437static PyMethodDef methods[] = {
2438#define METHNAME(func) meth_##func
b2687a0a 2439 KWMETH(_MP_fromstring, "\
d7ab1bab 2440fromstring(STR, radix = 0) -> (X, REST)\n\
2441\n\
2442Parse STR as a large integer, according to radix. If radix is zero,\n\
2443read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\
2444or `R_' for other radix R.")
b2687a0a 2445 KWMETH(_GF_fromstring, "\
d7ab1bab 2446fromstring(STR, radix = 0) -> (X, REST)\n\
2447\n\
2448Parse STR as a binary polynomial, according to radix. If radix is zero,\n\
2449read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\
2450or `R_' for other radix R.")
2451 METH (_MP_loadl, "\
2452loadl(STR) -> X: read little-endian bytes")
2453 METH (_MP_loadb, "\
2454loadb(STR) -> X: read big-endian bytes")
2455 METH (_MP_loadl2c, "\
2456loadl2c(STR) -> X: read little-endian bytes, two's complement")
2457 METH (_MP_loadb2c, "\
2458loadb2c(STR) -> X: read big-endian bytes, two's complement")
2459 METH (_MP_frombuf, "\
2460frombuf(STR) -> (X, REST): read buffer format")
d7ab1bab 2461 METH (_GF_loadl, "\
2462loadl(STR) -> X: read little-endian bytes")
2463 METH (_GF_loadb, "\
2464loadb(STR) -> X: read big-endian bytes")
2465 METH (_GF_frombuf, "\
2466frombuf(STR) -> (X, REST): read buffer format")
2467#undef METHNAME
2468 { 0 }
2469};
2470
2471void mp_pyinit(void)
2472{
2473 INITTYPE(mp, root);
2474 INITTYPE(gf, root);
32507e35 2475 INITTYPE(mpmul, root);
d7ab1bab 2476 INITTYPE(mpmont, root);
2477 INITTYPE(mpbarrett, root);
2478 INITTYPE(mpreduce, root);
2479 INITTYPE(mpcrt, root);
2480 INITTYPE(gfreduce, root);
2481 INITTYPE(gfn, root);
2482 addmethods(methods);
2483}
2484
2485void mp_pyinsert(PyObject *mod)
2486{
2487 INSERT("MP", mp_pytype);
32507e35 2488 INSERT("MPMul", mpmul_pytype);
d7ab1bab 2489 INSERT("MPMont", mpmont_pytype);
2490 INSERT("MPBarrett", mpbarrett_pytype);
2491 INSERT("MPReduce", mpreduce_pytype);
2492 INSERT("MPCRT", mpcrt_pytype);
2493 INSERT("GF", gf_pytype);
2494 INSERT("GFReduce", gfreduce_pytype);
2495 INSERT("GFN", gfn_pytype);
2496}
2497
2498/*----- That's all, folks -------------------------------------------------*/
Catacomb cryptographic library -- Python bindings