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d7ab1bab | 1 | /* -*-c-*- |
2 | * | |
3 | * $Id$ | |
4 | * | |
5 | * Multiprecision arithmetic | |
6 | * | |
7 | * (c) 2004 Straylight/Edgeware | |
8 | */ | |
9 | ||
10 | /*----- Licensing notice --------------------------------------------------* | |
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. | |
18 | * | |
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. | |
23 | * | |
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 | ||
35 | PyTypeObject *mp_pytype = 0; | |
36 | PyTypeObject *gf_pytype = 0; | |
37 | ||
f368b46e | 38 | mp *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 | 75 | PyObject *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 | ||
103 | mp *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 | ||
122 | PyObject *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 |
147 | static 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 | 154 | PyObject *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 | ||
161 | PyObject *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 | ||
168 | int 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; | |
181 | end: | |
182 | return (rc); | |
183 | } | |
184 | ||
185 | /*----- Python interface --------------------------------------------------*/ | |
186 | ||
187 | static void mp_pydealloc(PyObject *o) | |
188 | { | |
189 | MP_DROP(MP_X(o)); | |
3aa33042 | 190 | FREEOBJ(o); |
d7ab1bab | 191 | } |
192 | ||
193 | static PyObject *mp_pyrepr(PyObject *o) | |
194 | { return mp_topystring(MP_X(o), 10, "MP(", 0, "L)"); } | |
195 | ||
196 | static PyObject *mp_pystr(PyObject *o) | |
197 | { return mp_topystring(MP_X(o), 10, 0, 0, 0); } | |
198 | ||
199 | mp *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 | ||
234 | mp *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 | ||
245 | int 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 | ||
253 | mp *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 | ||
264 | int 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 | ||
272 | static int mpbinop(PyObject *x, PyObject *y, mp **xx, mp **yy) | |
273 | { | |
274 | if ((*xx = tomp(x)) == 0) | |
275 | return (-1); | |
276 | if ((*yy = tomp(y)) == 0) { | |
277 | MP_DROP(*xx); | |
278 | return (-1); | |
279 | } | |
280 | return (0); | |
281 | } | |
282 | ||
283 | #define gf_and mp_and | |
284 | #define gf_or mp_or | |
285 | #define gf_xor mp_xor | |
286 | #define BINOP(pre, name) \ | |
287 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ | |
288 | mp *xx, *yy, *zz; \ | |
289 | if (mpbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ | |
290 | zz = pre##_##name(MP_NEW, xx, yy); \ | |
291 | MP_DROP(xx); MP_DROP(yy); \ | |
292 | return (pre##_pywrap(zz)); \ | |
293 | } | |
294 | BINOP(mp, add) | |
295 | BINOP(mp, sub) | |
296 | BINOP(mp, mul) | |
297 | BINOP(mp, and2c) | |
298 | BINOP(mp, or2c) | |
299 | BINOP(mp, xor2c) | |
300 | BINOP(gf, add) | |
301 | BINOP(gf, sub) | |
302 | BINOP(gf, mul) | |
303 | BINOP(gf, and) | |
304 | BINOP(gf, or) | |
305 | BINOP(gf, xor) | |
306 | #undef BINOP | |
307 | ||
308 | static mp *mp_abs(mp *d, mp *x) | |
309 | { | |
310 | if (MP_NEGP(x)) | |
311 | return (mp_neg(d, x)); | |
312 | MP_COPY(x); | |
313 | if (d) MP_DROP(d); | |
314 | return (x); | |
315 | } | |
316 | ||
317 | #define UNOP(pre, name) \ | |
318 | static PyObject *pre##_py##name(PyObject *x) \ | |
319 | { return mp_pywrap(pre##_##name(MP_NEW, MP_X(x))); } | |
320 | UNOP(mp, neg) | |
321 | UNOP(mp, abs) | |
322 | UNOP(mp, not2c) | |
323 | #undef UNOP | |
324 | ||
325 | static PyObject *mp_pyid(PyObject *x) { RETURN_OBJ(x); } | |
326 | ||
327 | #define gf_lsr mp_lsr | |
328 | #define SHIFTOP(pre, name, rname) \ | |
329 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ | |
330 | mp *xx, *yy; \ | |
331 | PyObject *z = 0; \ | |
332 | long n; \ | |
333 | if (mpbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ | |
334 | if (mp_tolong_checked(yy, &n)) goto end; \ | |
335 | if (n < 0) \ | |
336 | z = pre##_pywrap(mp_##rname(MP_NEW, xx, -n)); \ | |
337 | else \ | |
338 | z = pre##_pywrap(mp_##name(MP_NEW, xx, n)); \ | |
339 | end: \ | |
340 | MP_DROP(xx); MP_DROP(yy); \ | |
341 | return (z); \ | |
342 | } | |
343 | SHIFTOP(mp, lsl2c, lsr2c) | |
344 | SHIFTOP(mp, lsr2c, lsl2c) | |
345 | SHIFTOP(gf, lsl, lsr) | |
346 | SHIFTOP(gf, lsr, lsl) | |
347 | #undef SHIFTOP | |
348 | ||
349 | #define DIVOP(pre, name, qq, rr, gather) \ | |
350 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ | |
351 | mp *xx, *yy; \ | |
352 | PyObject *z = 0; \ | |
353 | INIT_##qq(q) INIT_##rr(r) \ | |
354 | if (mpbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ | |
355 | if (MP_ZEROP(yy)) \ | |
356 | ZDIVERR("division by zero"); \ | |
357 | pre##_div(ARG_##qq(q), ARG_##rr(r), xx, yy); \ | |
358 | z = gather; \ | |
359 | end: \ | |
360 | MP_DROP(xx); MP_DROP(yy); \ | |
361 | return (z); \ | |
362 | } | |
363 | #define INIT_YES(p) mp *p = MP_NEW; | |
364 | #define INIT_NO(p) | |
365 | #define ARG_YES(p) &p | |
366 | #define ARG_NO(p) 0 | |
367 | DIVOP(mp, divmod, YES, YES, | |
368 | Py_BuildValue("(NN)", mp_pywrap(q), mp_pywrap(r))) | |
369 | DIVOP(mp, div, YES, NO, mp_pywrap(q)) | |
370 | DIVOP(mp, mod, NO, YES, mp_pywrap(r)) | |
371 | DIVOP(gf, divmod, YES, YES, | |
372 | Py_BuildValue("(NN)", gf_pywrap(q), gf_pywrap(r))) | |
373 | DIVOP(gf, div, YES, NO, gf_pywrap(q)) | |
374 | DIVOP(gf, mod, NO, YES, gf_pywrap(r)) | |
375 | #undef INIT_YES | |
376 | #undef INIT_NO | |
377 | #undef ARG_YES | |
378 | #undef ARG_NO | |
379 | #undef DIVOP | |
380 | ||
381 | static mp *mp_modinv_checked(mp *d, mp *x, mp *p) | |
382 | { | |
383 | mp *g = MP_NEW; | |
384 | mp_gcd(&g, 0, &d, p, x); | |
385 | if (!MP_EQ(g, MP_ONE)) { | |
386 | MP_DROP(g); MP_DROP(d); | |
387 | PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse"); | |
388 | return (0); | |
389 | } | |
390 | MP_DROP(g); return (d); | |
391 | } | |
392 | ||
393 | static PyObject *mp_pyexp(PyObject *x, PyObject *y, PyObject *z) | |
394 | { | |
395 | mp *xx = 0, *yy = 0, *zz = 0; | |
396 | mp *r = 0; | |
397 | PyObject *rc = 0; | |
398 | ||
399 | if ((xx = tomp(x)) == 0 || (yy = tomp(y)) == 0 || | |
400 | (z && z != Py_None && (zz = tomp(z)) == 0)) { | |
401 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
402 | RETURN_NOTIMPL; | |
403 | } | |
404 | if (!z || z == Py_None) { | |
405 | if (MP_NEGP(yy)) VALERR("negative exponent"); | |
406 | r = mp_exp(MP_NEW, xx, yy); | |
407 | } else { | |
408 | if (!MP_POSP(zz)) VALERR("modulus must be positive"); | |
409 | if (MP_NEGP(yy)) { | |
410 | if ((xx = mp_modinv_checked(xx, xx, zz)) == 0) goto end; | |
411 | yy = mp_neg(yy, yy); | |
412 | } | |
413 | if (MP_ODDP(zz)) { | |
414 | mpmont mm; | |
415 | mpmont_create(&mm, zz); | |
416 | r = mpmont_exp(&mm, MP_NEW, xx, yy); | |
417 | mpmont_destroy(&mm); | |
418 | } else { | |
419 | mpbarrett mb; | |
420 | mpbarrett_create(&mb, zz); | |
421 | r = mpbarrett_exp(&mb, MP_NEW, xx, yy); | |
422 | mpbarrett_destroy(&mb); | |
423 | } | |
424 | } | |
425 | rc = mp_pywrap(r); | |
426 | end: | |
427 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
428 | return (rc); | |
429 | } | |
430 | ||
431 | static mp *gf_modinv_checked(mp *d, mp *x, mp *p) | |
432 | { | |
433 | mp *g = MP_NEW; | |
434 | gf_gcd(&g, 0, &d, p, x); | |
435 | if (!MP_EQ(g, MP_ONE)) { | |
436 | MP_DROP(g); MP_DROP(d); | |
437 | PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse"); | |
438 | return (0); | |
439 | } | |
440 | MP_DROP(g); return (d); | |
441 | } | |
442 | ||
443 | #define BASEOP(name, radix, pre) \ | |
444 | static PyObject *mp_py##name(PyObject *x) \ | |
445 | { return mp_topystring(MP_X(x), radix, 0, pre, 0); } | |
446 | BASEOP(oct, 8, "0"); | |
447 | BASEOP(hex, 16, "0x"); | |
448 | #undef BASEOP | |
449 | ||
450 | static int mp_pynonzerop(PyObject *x) { return !MP_ZEROP(MP_X(x)); } | |
451 | ||
452 | static PyObject *mp_pyint(PyObject *x) | |
453 | { | |
454 | long l; | |
455 | if (mp_tolong_checked(MP_X(x), &l)) return (0); | |
456 | return (PyInt_FromLong(l)); | |
457 | } | |
458 | static PyObject *mp_pylong(PyObject *x) | |
f368b46e | 459 | { return (mp_topylong(MP_X(x))); } |
d7ab1bab | 460 | static PyObject *mp_pyfloat(PyObject *x) |
461 | { | |
f368b46e | 462 | PyObject *l = mp_topylong(MP_X(x)); |
d7ab1bab | 463 | double f = PyLong_AsDouble(l); |
464 | Py_DECREF(l); | |
465 | return (PyFloat_FromDouble(f)); | |
466 | } | |
467 | ||
468 | #define COERCE(pre, PRE) \ | |
469 | static int pre##_pycoerce(PyObject **x, PyObject **y) \ | |
470 | { \ | |
471 | mp *z; \ | |
472 | \ | |
473 | if (PRE##_PYCHECK(*y)) { \ | |
474 | Py_INCREF(*x); Py_INCREF(*y); \ | |
475 | return (0); \ | |
476 | } \ | |
477 | if ((z = tomp(*y)) != 0) { \ | |
478 | Py_INCREF(*x); \ | |
479 | *y = pre##_pywrap(z); \ | |
480 | return (0); \ | |
481 | } \ | |
482 | return (1); \ | |
483 | } | |
484 | COERCE(mp, MP) | |
485 | COERCE(gf, GF) | |
486 | #undef COERCE | |
487 | ||
488 | static int mp_pycompare(PyObject *x, PyObject *y) | |
489 | { return mp_cmp(MP_X(x), MP_X(y)); } | |
490 | ||
491 | static PyObject *mp_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
492 | { | |
493 | PyObject *x; | |
494 | mp *z; | |
495 | mp_pyobj *zz = 0; | |
496 | int radix = 0; | |
497 | char *kwlist[] = { "x", "radix", 0 }; | |
498 | ||
f368b46e | 499 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:new", kwlist, &x, &radix)) |
d7ab1bab | 500 | goto end; |
501 | if (MP_PYCHECK(x)) RETURN_OBJ(x); | |
f368b46e | 502 | if (!good_radix_p(radix, 1)) VALERR("bad radix"); |
d7ab1bab | 503 | if ((z = mp_frompyobject(x, radix)) == 0) { |
504 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp", | |
505 | x->ob_type->tp_name); | |
506 | goto end; | |
507 | } | |
508 | zz = (mp_pyobj *)ty->tp_alloc(ty, 0); | |
509 | zz->x = z; | |
510 | end: | |
511 | return ((PyObject *)zz); | |
512 | } | |
513 | ||
514 | static long mp_pyhash(PyObject *me) | |
515 | { | |
f368b46e MW |
516 | long h; |
517 | PyObject *l = mp_topylong(MP_X(me)); h = PyObject_Hash(l); | |
518 | Py_DECREF(l); return (h); | |
d7ab1bab | 519 | } |
520 | ||
521 | static PyObject *mpmeth_jacobi(PyObject *me, PyObject *arg) | |
522 | { | |
523 | mp *y = 0; | |
524 | PyObject *z = 0; | |
525 | ||
526 | if (!PyArg_ParseTuple(arg, "O&:jacobi", convmp, &y)) goto end; | |
f368b46e MW |
527 | if (MP_NEGP(MP_X(me)) || MP_EVENP(MP_X(me))) |
528 | VALERR("must be positive and odd"); | |
d7ab1bab | 529 | z = PyInt_FromLong(mp_jacobi(y, MP_X(me))); |
530 | end: | |
531 | if (y) MP_DROP(y); | |
532 | return (z); | |
533 | } | |
534 | ||
535 | #define BITOP(pre, name, c) \ | |
536 | static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \ | |
537 | { \ | |
a1be89ad MW |
538 | unsigned long i; \ |
539 | if (!PyArg_ParseTuple(arg, "O&:" #name, convulong, &i)) return (0); \ | |
d7ab1bab | 540 | return (pre##_pywrap(mp_##name##c(MP_NEW, MP_X(me), i))); \ |
541 | } | |
542 | BITOP(mp, setbit, 2c); | |
543 | BITOP(mp, clearbit, 2c); | |
544 | BITOP(gf, setbit, ); | |
545 | BITOP(gf, clearbit, ); | |
546 | #undef BITOP | |
547 | ||
548 | static PyObject *mpmeth_testbit(PyObject *me, PyObject *arg) | |
549 | { | |
a1be89ad MW |
550 | unsigned long i; |
551 | if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0); | |
d7ab1bab | 552 | return (getbool(mp_testbit2c(MP_X(me), i))); |
553 | } | |
554 | ||
555 | static PyObject *gfmeth_testbit(PyObject *me, PyObject *arg) | |
556 | { | |
a1be89ad MW |
557 | unsigned long i; |
558 | if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0); | |
d7ab1bab | 559 | return (getbool(mp_testbit(MP_X(me), i))); |
560 | } | |
561 | ||
562 | static PyObject *mpmeth_odd(PyObject *me, PyObject *arg) | |
563 | { | |
564 | mp *t; | |
565 | size_t s; | |
566 | ||
567 | if (!PyArg_ParseTuple(arg, ":odd")) return (0); | |
568 | t = mp_odd(MP_NEW, MP_X(me), &s); | |
569 | return (Py_BuildValue("(lN)", (long)s, mp_pywrap(t))); | |
570 | } | |
571 | ||
572 | static PyObject *mpmeth_sqr(PyObject *me, PyObject *arg) | |
573 | { | |
574 | if (!PyArg_ParseTuple(arg, ":sqr")) return (0); | |
575 | return (mp_pywrap(mp_sqr(MP_NEW, MP_X(me)))); | |
576 | } | |
577 | ||
578 | static PyObject *mpmeth_sqrt(PyObject *me, PyObject *arg) | |
579 | { | |
580 | if (!PyArg_ParseTuple(arg, ":sqrt")) return (0); | |
581 | if (MP_NEGP(MP_X(me))) VALERR("negative root"); | |
582 | return (mp_pywrap(mp_sqrt(MP_NEW, MP_X(me)))); | |
583 | end: | |
584 | return (0); | |
585 | } | |
586 | ||
587 | static PyObject *mpmeth_gcd(PyObject *me, PyObject *arg) | |
588 | { | |
589 | mp *y = 0, *zz = MP_NEW; | |
590 | PyObject *z = 0; | |
591 | ||
592 | if (!PyArg_ParseTuple(arg, "O&:gcd", convmp, &y)) goto end; | |
593 | mp_gcd(&zz, 0, 0, MP_X(me), y); | |
594 | z = mp_pywrap(zz); | |
595 | end: | |
596 | if (y) MP_DROP(y); | |
597 | return (z); | |
598 | } | |
599 | ||
600 | static PyObject *mpmeth_gcdx(PyObject *me, PyObject *arg) | |
601 | { | |
602 | PyObject *z = 0; | |
603 | mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW; | |
604 | ||
605 | if (!PyArg_ParseTuple(arg, "O&:gcdx", convmp, &yy)) goto end; | |
606 | mp_gcd(&zz, &uu, &vv, MP_X(me), yy); | |
607 | z = Py_BuildValue("(NNN)", | |
608 | mp_pywrap(zz), mp_pywrap(uu), mp_pywrap(vv)); | |
609 | end: | |
610 | if (yy) MP_DROP(yy); | |
611 | return (z); | |
612 | } | |
613 | ||
614 | static PyObject *mpmeth_modinv(PyObject *me, PyObject *arg) | |
615 | { | |
616 | PyObject *z = 0; | |
617 | mp *yy = 0, *zz = MP_NEW; | |
618 | ||
619 | if (!PyArg_ParseTuple(arg, "O&:modinv", convmp, &yy) || | |
620 | (zz = mp_modinv_checked(MP_NEW, yy, MP_X(me))) == 0) | |
621 | goto end; | |
622 | z = mp_pywrap(zz); | |
623 | end: | |
624 | if (yy) MP_DROP(yy); | |
625 | return (z); | |
626 | } | |
627 | ||
628 | static PyObject *mpmeth_tostring(PyObject *me, PyObject *arg, PyObject *kw) | |
629 | { | |
630 | int radix = 10; | |
631 | char *kwlist[] = { "radix", 0 }; | |
632 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:tostring", kwlist, &radix)) | |
633 | goto end; | |
f368b46e | 634 | if (!good_radix_p(radix, 0)) VALERR("bad radix"); |
d7ab1bab | 635 | return (mp_topystring(MP_X(me), radix, 0, 0, 0)); |
636 | end: | |
637 | return (0); | |
638 | } | |
639 | ||
640 | static PyObject *mpmeth_modsqrt(PyObject *me, PyObject *arg) | |
641 | { | |
642 | PyObject *z = 0; | |
643 | mp *yy = 0, *zz = MP_NEW; | |
644 | ||
645 | if (!PyArg_ParseTuple(arg, "O&:modsqrt", convmp, &yy)) goto end; | |
646 | if ((zz = mp_modsqrt(MP_NEW, yy, MP_X(me))) == 0) | |
647 | VALERR("no modular square root"); | |
648 | z = mp_pywrap(zz); | |
649 | end: | |
650 | if (yy) MP_DROP(yy); | |
651 | return (z); | |
652 | } | |
653 | ||
654 | #define STOREOP(name, c) \ | |
655 | static PyObject *mpmeth_##name(PyObject *me, \ | |
656 | PyObject *arg, PyObject *kw) \ | |
657 | { \ | |
658 | long len = -1; \ | |
659 | char *kwlist[] = { "len", 0 }; \ | |
660 | PyObject *rc = 0; \ | |
661 | \ | |
662 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|l:" #name, \ | |
663 | kwlist, &len)) \ | |
664 | goto end; \ | |
665 | if (len < 0) { \ | |
666 | len = mp_octets##c(MP_X(me)); \ | |
667 | if (!len) len = 1; \ | |
668 | } \ | |
669 | rc = bytestring_pywrap(0, len); \ | |
670 | mp_##name(MP_X(me), PyString_AS_STRING(rc), len); \ | |
671 | end: \ | |
672 | return (rc); \ | |
673 | } | |
674 | STOREOP(storel, ) | |
675 | STOREOP(storeb, ) | |
676 | STOREOP(storel2c, 2c) | |
677 | STOREOP(storeb2c, 2c) | |
678 | #undef STOREOP | |
679 | ||
680 | #define BUFOP(ty, pyty) \ | |
681 | static PyObject *meth__##pyty##_frombuf(PyObject *me, PyObject *arg) \ | |
682 | { \ | |
683 | buf b; \ | |
684 | char *p; \ | |
685 | int sz; \ | |
686 | PyObject *rc = 0; \ | |
687 | mp *x; \ | |
688 | \ | |
689 | if (!PyArg_ParseTuple(arg, "Os#:frombuf", &me, &p, &sz)) goto end; \ | |
690 | buf_init(&b, p, sz); \ | |
691 | if ((x = buf_getmp(&b)) == 0) VALERR("malformed data"); \ | |
692 | rc = Py_BuildValue("(NN)", ty##_pywrap(x), \ | |
693 | bytestring_pywrapbuf(&b)); \ | |
694 | end: \ | |
695 | return (rc); \ | |
696 | } | |
697 | BUFOP(mp, MP) | |
698 | BUFOP(gf, GF) | |
699 | #undef BUFOP | |
700 | ||
701 | static PyObject *mpmeth_tobuf(PyObject *me, PyObject *arg) | |
702 | { | |
703 | buf b; | |
704 | PyObject *rc; | |
705 | mp *x; | |
706 | size_t n; | |
707 | ||
708 | if (!PyArg_ParseTuple(arg, ":tobuf")) return (0); | |
709 | x = MP_X(me); | |
710 | n = mp_octets(x) + 3; | |
711 | rc = bytestring_pywrap(0, n); | |
712 | buf_init(&b, PyString_AS_STRING(rc), n); | |
713 | buf_putmp(&b, x); | |
714 | assert(BOK(&b)); | |
715 | _PyString_Resize(&rc, BLEN(&b)); | |
716 | return (rc); | |
717 | } | |
718 | ||
719 | static PyObject *mpmeth_primep(PyObject *me, PyObject *arg, PyObject *kw) | |
720 | { | |
721 | grand *r = &rand_global; | |
722 | char *kwlist[] = { "rng", 0 }; | |
723 | PyObject *rc = 0; | |
724 | ||
725 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&", kwlist, convgrand, &r)) | |
726 | goto end; | |
727 | rc = getbool(pgen_primep(MP_X(me), r)); | |
728 | end: | |
729 | return (rc); | |
730 | } | |
731 | ||
732 | static PyObject *mpget_nbits(PyObject *me, void *hunoz) | |
733 | { return (PyInt_FromLong(mp_bits(MP_X(me)))); } | |
734 | ||
735 | static PyObject *mpget_noctets(PyObject *me, void *hunoz) | |
736 | { return (PyInt_FromLong(mp_octets(MP_X(me)))); } | |
737 | ||
738 | static PyObject *mpget_noctets2c(PyObject *me, void *hunoz) | |
739 | { return (PyInt_FromLong(mp_octets2c(MP_X(me)))); } | |
740 | ||
741 | static PyGetSetDef mp_pygetset[] = { | |
742 | #define GETSETNAME(op, func) mp##op##_##func | |
743 | GET (nbits, "X.nbits -> bit length of X") | |
744 | GET (noctets, "X.noctets -> octet length of X") | |
745 | GET (noctets2c, "X.noctets2c -> two's complement octet length of X") | |
746 | #undef GETSETNAME | |
747 | { 0 } | |
748 | }; | |
749 | ||
750 | static PyMethodDef mp_pymethods[] = { | |
751 | #define METHNAME(func) mpmeth_##func | |
752 | METH (jacobi, "X.jacobi(Y) -> Jacobi symbol (Y/X) (NB inversion!)") | |
753 | METH (setbit, "X.setbit(N) -> X with bit N set") | |
754 | METH (clearbit, "X.clearbit(N) -> X with bit N clear") | |
755 | METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X") | |
756 | METH (odd, "X.odd() -> S, T where X = 2^S T with T odd") | |
757 | METH (sqr, "X.sqr() -> X^2") | |
758 | METH (sqrt, "X.sqrt() -> largest integer <= sqrt(X)") | |
759 | METH (gcd, "X.gcd(Y) -> gcd(X, Y)") | |
760 | METH (gcdx, | |
761 | "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)") | |
762 | METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X") | |
763 | METH (modsqrt, "X.modsqrt(Y) -> square root of Y mod X, if X prime") | |
764 | KWMETH(primep, "X.primep(rng = rand) -> true/false if X is prime") | |
765 | KWMETH(tostring, "X.tostring(radix = 10) -> STR") | |
766 | KWMETH(storel, "X.storel(len = -1) -> little-endian bytes") | |
767 | KWMETH(storeb, "X.storeb(len = -1) -> big-endian bytes") | |
768 | KWMETH(storel2c, | |
769 | "X.storel2c(len = -1) -> little-endian bytes, two's complement") | |
770 | KWMETH(storeb2c, | |
771 | "X.storeb2c(len = -1) -> big-endian bytes, two's complement") | |
772 | METH (tobuf, "X.tobuf() -> buffer format") | |
773 | #undef METHNAME | |
774 | { 0 } | |
775 | }; | |
776 | ||
777 | static PyNumberMethods mp_pynumber = { | |
778 | mp_pyadd, /* @nb_add@ */ | |
779 | mp_pysub, /* @nb_subtract@ */ | |
780 | mp_pymul, /* @nb_multiply@ */ | |
781 | 0, /* @nb_divide@ */ | |
782 | mp_pymod, /* @nb_remainder@ */ | |
783 | mp_pydivmod, /* @nb_divmod@ */ | |
784 | mp_pyexp, /* @nb_power@ */ | |
785 | mp_pyneg, /* @nb_negative@ */ | |
786 | mp_pyid, /* @nb_positive@ */ | |
787 | mp_pyabs, /* @nb_absolute@ */ | |
788 | mp_pynonzerop, /* @nb_nonzero@ */ | |
789 | mp_pynot2c, /* @nb_invert@ */ | |
790 | mp_pylsl2c, /* @nb_lshift@ */ | |
791 | mp_pylsr2c, /* @nb_rshift@ */ | |
792 | mp_pyand2c, /* @nb_and@ */ | |
793 | mp_pyxor2c, /* @nb_xor@ */ | |
794 | mp_pyor2c, /* @nb_or@ */ | |
795 | mp_pycoerce, /* @nb_coerce@ */ | |
796 | mp_pyint, /* @nb_int@ */ | |
797 | mp_pylong, /* @nb_long@ */ | |
798 | mp_pyfloat, /* @nb_float@ */ | |
799 | mp_pyoct, /* @nb_oct@ */ | |
800 | mp_pyhex, /* @nb_hex@ */ | |
801 | ||
802 | 0, /* @nb_inplace_add@ */ | |
803 | 0, /* @nb_inplace_subtract@ */ | |
804 | 0, /* @nb_inplace_multiply@ */ | |
805 | 0, /* @nb_inplace_divide@ */ | |
806 | 0, /* @nb_inplace_remainder@ */ | |
807 | 0, /* @nb_inplace_power@ */ | |
808 | 0, /* @nb_inplace_lshift@ */ | |
809 | 0, /* @nb_inplace_rshift@ */ | |
810 | 0, /* @nb_inplace_and@ */ | |
811 | 0, /* @nb_inplace_xor@ */ | |
812 | 0, /* @nb_inplace_or@ */ | |
813 | ||
814 | mp_pydiv, /* @nb_floor_divide@ */ | |
815 | 0, /* @nb_true_divide@ */ | |
816 | 0, /* @nb_inplace_floor_divide@ */ | |
817 | 0, /* @nb_inplace_true_divide@ */ | |
818 | }; | |
819 | ||
820 | static PyTypeObject mp_pytype_skel = { | |
6d4db0bf | 821 | PyObject_HEAD_INIT(0) 0, /* Header */ |
d7ab1bab | 822 | "catacomb.MP", /* @tp_name@ */ |
823 | sizeof(mp_pyobj), /* @tp_basicsize@ */ | |
824 | 0, /* @tp_itemsize@ */ | |
825 | ||
826 | mp_pydealloc, /* @tp_dealloc@ */ | |
827 | 0, /* @tp_print@ */ | |
828 | 0, /* @tp_getattr@ */ | |
829 | 0, /* @tp_setattr@ */ | |
830 | mp_pycompare, /* @tp_compare@ */ | |
831 | mp_pyrepr, /* @tp_repr@ */ | |
832 | &mp_pynumber, /* @tp_as_number@ */ | |
833 | 0, /* @tp_as_sequence@ */ | |
834 | 0, /* @tp_as_mapping@ */ | |
835 | mp_pyhash, /* @tp_hash@ */ | |
836 | 0, /* @tp_call@ */ | |
837 | mp_pystr, /* @tp_str@ */ | |
838 | 0, /* @tp_getattro@ */ | |
839 | 0, /* @tp_setattro@ */ | |
840 | 0, /* @tp_as_buffer@ */ | |
841 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
842 | Py_TPFLAGS_CHECKTYPES | | |
843 | Py_TPFLAGS_BASETYPE, | |
844 | ||
845 | /* @tp_doc@ */ | |
846 | "Multiprecision integers, similar to `long' but more efficient and\n\ | |
847 | versatile. Support all the standard arithmetic operations.\n\ | |
848 | \n\ | |
849 | Constructor mp(X, radix = R) attempts to convert X to an `mp'. If\n\ | |
850 | X is a string, it's read in radix-R form, or we look for a prefix\n\ | |
851 | if R = 0. Other acceptable things are ints and longs.\n\ | |
852 | \n\ | |
853 | Notes:\n\ | |
854 | \n\ | |
855 | * Use `//' for division. MPs don't have `/' division.", | |
856 | ||
857 | 0, /* @tp_traverse@ */ | |
858 | 0, /* @tp_clear@ */ | |
859 | 0, /* @tp_richcompare@ */ | |
860 | 0, /* @tp_weaklistoffset@ */ | |
861 | 0, /* @tp_iter@ */ | |
963a6148 | 862 | 0, /* @tp_iternext@ */ |
d7ab1bab | 863 | mp_pymethods, /* @tp_methods@ */ |
864 | 0, /* @tp_members@ */ | |
865 | mp_pygetset, /* @tp_getset@ */ | |
866 | 0, /* @tp_base@ */ | |
867 | 0, /* @tp_dict@ */ | |
868 | 0, /* @tp_descr_get@ */ | |
869 | 0, /* @tp_descr_set@ */ | |
870 | 0, /* @tp_dictoffset@ */ | |
871 | 0, /* @tp_init@ */ | |
872 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
873 | mp_pynew, /* @tp_new@ */ | |
3aa33042 | 874 | 0, /* @tp_free@ */ |
d7ab1bab | 875 | 0 /* @tp_is_gc@ */ |
876 | }; | |
877 | ||
878 | static PyObject *meth__MP_fromstring(PyObject *me, | |
879 | PyObject *arg, PyObject *kw) | |
880 | { | |
881 | int r = 0; | |
882 | char *p; | |
883 | int len; | |
884 | PyObject *z = 0; | |
885 | mp *zz; | |
886 | mptext_stringctx sc; | |
887 | char *kwlist[] = { "class", "x", "radix", 0 }; | |
888 | ||
889 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring", | |
890 | kwlist, &me, &p, &len, &r)) | |
891 | goto end; | |
f368b46e | 892 | if (!good_radix_p(r, 1)) VALERR("bad radix"); |
d7ab1bab | 893 | sc.buf = p; sc.lim = p + len; |
894 | if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0) | |
895 | SYNERR("bad integer"); | |
896 | z = Py_BuildValue("(Ns#)", mp_pywrap(zz), sc.buf, (int)(sc.lim - sc.buf)); | |
897 | end: | |
898 | return (z); | |
899 | } | |
900 | ||
32507e35 MW |
901 | #define LOADOP(pre, py, name) \ |
902 | static PyObject *meth__##py##_##name(PyObject *me, PyObject *arg) \ | |
903 | { \ | |
904 | char *p; \ | |
905 | int len; \ | |
906 | if (!PyArg_ParseTuple(arg, "Os#:" #name, &me, &p, &len)) return (0); \ | |
907 | return (pre##_pywrap(mp_##name(MP_NEW, p, len))); \ | |
908 | } | |
909 | LOADOP(mp, MP, loadl) | |
910 | LOADOP(mp, MP, loadb) | |
911 | LOADOP(mp, MP, loadl2c) | |
912 | LOADOP(mp, MP, loadb2c) | |
913 | LOADOP(gf, GF, loadl) | |
914 | LOADOP(gf, GF, loadb) | |
915 | #undef LOADOP | |
916 | ||
917 | /*----- Products of small integers ----------------------------------------*/ | |
918 | ||
919 | typedef struct mpmul_pyobj { | |
920 | PyObject_HEAD | |
921 | int livep; | |
922 | mpmul mm; | |
923 | } mpmul_pyobj; | |
924 | ||
925 | #define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep) | |
926 | #define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm) | |
927 | ||
928 | static void mpmul_pydealloc(PyObject *me) | |
929 | { | |
930 | if (MPMUL_LIVEP(me)) | |
931 | mp_drop(mpmul_done(MPMUL_PY(me))); | |
932 | FREEOBJ(me); | |
933 | } | |
934 | ||
935 | static PyObject *mmmeth_factor(PyObject *me, PyObject *arg) | |
d7ab1bab | 936 | { |
d7ab1bab | 937 | PyObject *q, *i; |
938 | mp *x; | |
939 | ||
32507e35 MW |
940 | if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid"); |
941 | if (PyTuple_Size(arg) != 1) | |
d7ab1bab | 942 | i = PyObject_GetIter(arg); |
32507e35 MW |
943 | else { |
944 | if ((q = PyTuple_GetItem(arg, 0)) == 0) goto end; | |
d7ab1bab | 945 | if ((i = PyObject_GetIter(q)) == 0) { |
946 | PyErr_Clear(); /* that's ok */ | |
947 | i = PyObject_GetIter(arg); | |
948 | } | |
949 | } | |
32507e35 | 950 | if (!i) goto end; |
d7ab1bab | 951 | while ((q = PyIter_Next(i)) != 0) { |
952 | x = getmp(q); Py_DECREF(q); if (!x) { | |
d7ab1bab | 953 | Py_DECREF(i); |
32507e35 | 954 | goto end; |
d7ab1bab | 955 | } |
32507e35 | 956 | mpmul_add(MPMUL_PY(me), x); |
d7ab1bab | 957 | MP_DROP(x); |
958 | } | |
d7ab1bab | 959 | Py_DECREF(i); |
32507e35 MW |
960 | RETURN_ME; |
961 | end: | |
962 | return (0); | |
963 | } | |
964 | ||
965 | static PyObject *mmmeth_done(PyObject *me, PyObject *arg) | |
966 | { | |
967 | mp *x; | |
968 | ||
969 | if (!PyArg_ParseTuple(arg, ":done")) goto end; | |
970 | if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid"); | |
971 | x = mpmul_done(MPMUL_PY(me)); | |
972 | MPMUL_LIVEP(me) = 0; | |
d7ab1bab | 973 | return (mp_pywrap(x)); |
32507e35 MW |
974 | end: |
975 | return (0); | |
d7ab1bab | 976 | } |
977 | ||
32507e35 MW |
978 | static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) |
979 | { | |
980 | mpmul_pyobj *mm; | |
981 | ||
982 | if (kw) TYERR("keyword arguments not allowed here"); | |
983 | mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0); | |
984 | mpmul_init(&mm->mm); | |
985 | mm->livep = 1; | |
986 | if (mmmeth_factor((PyObject *)mm, arg) == 0) { | |
987 | Py_DECREF(mm); | |
988 | goto end; | |
d7ab1bab | 989 | } |
32507e35 MW |
990 | return ((PyObject *)mm); |
991 | end: | |
992 | return (0); | |
993 | } | |
994 | ||
995 | static PyObject *mmget_livep(PyObject *me, void *hunoz) | |
996 | { return (getbool(MPMUL_LIVEP(me))); } | |
997 | ||
998 | static PyGetSetDef mpmul_pygetset[] = { | |
999 | #define GETSETNAME(op, name) mm##op##_##name | |
1000 | GET (livep, "MM.livep -> flag: object still valid?") | |
1001 | #undef GETSETNAME | |
1002 | { 0 } | |
1003 | }; | |
1004 | ||
1005 | static PyMethodDef mpmul_pymethods[] = { | |
1006 | #define METHNAME(name) mmmeth_##name | |
1007 | METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)") | |
1008 | METH (done, "MM.done() -> PRODUCT") | |
1009 | #undef METHNAME | |
1010 | { 0 } | |
1011 | }; | |
1012 | ||
1013 | static PyTypeObject *mpmul_pytype, mpmul_pytype_skel = { | |
1014 | PyObject_HEAD_INIT(0) 0, /* Header */ | |
1015 | "catacomb.MPMul", /* @tp_name@ */ | |
1016 | sizeof(mpmul_pyobj), /* @tp_basicsize@ */ | |
1017 | 0, /* @tp_itemsize@ */ | |
1018 | ||
1019 | mpmul_pydealloc, /* @tp_dealloc@ */ | |
1020 | 0, /* @tp_print@ */ | |
1021 | 0, /* @tp_getattr@ */ | |
1022 | 0, /* @tp_setattr@ */ | |
1023 | 0, /* @tp_compare@ */ | |
1024 | 0, /* @tp_repr@ */ | |
1025 | 0, /* @tp_as_number@ */ | |
1026 | 0, /* @tp_as_sequence@ */ | |
1027 | 0, /* @tp_as_mapping@ */ | |
1028 | 0, /* @tp_hash@ */ | |
1029 | 0, /* @tp_call@ */ | |
1030 | 0, /* @tp_str@ */ | |
1031 | 0, /* @tp_getattro@ */ | |
1032 | 0, /* @tp_setattro@ */ | |
1033 | 0, /* @tp_as_buffer@ */ | |
1034 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1035 | Py_TPFLAGS_BASETYPE, | |
1036 | ||
1037 | /* @tp_doc@ */ | |
1038 | "An object for multiplying many small integers.", | |
1039 | ||
1040 | 0, /* @tp_traverse@ */ | |
1041 | 0, /* @tp_clear@ */ | |
1042 | 0, /* @tp_richcompare@ */ | |
1043 | 0, /* @tp_weaklistoffset@ */ | |
1044 | 0, /* @tp_iter@ */ | |
1045 | 0, /* @tp_iternext@ */ | |
1046 | mpmul_pymethods, /* @tp_methods@ */ | |
1047 | 0, /* @tp_members@ */ | |
1048 | mpmul_pygetset, /* @tp_getset@ */ | |
1049 | 0, /* @tp_base@ */ | |
1050 | 0, /* @tp_dict@ */ | |
1051 | 0, /* @tp_descr_get@ */ | |
1052 | 0, /* @tp_descr_set@ */ | |
1053 | 0, /* @tp_dictoffset@ */ | |
1054 | 0, /* @tp_init@ */ | |
1055 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1056 | mpmul_pynew, /* @tp_new@ */ | |
1057 | 0, /* @tp_free@ */ | |
1058 | 0 /* @tp_is_gc@ */ | |
1059 | }; | |
d7ab1bab | 1060 | |
1061 | /*----- Montgomery reduction ----------------------------------------------*/ | |
1062 | ||
1063 | typedef struct mpmont_pyobj { | |
1064 | PyObject_HEAD | |
1065 | mpmont mm; | |
1066 | } mpmont_pyobj; | |
1067 | ||
1068 | #define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm) | |
1069 | ||
1070 | static PyObject *mmmeth_int(PyObject *me, PyObject *arg) | |
1071 | { | |
1072 | PyObject *z = 0; | |
1073 | mp *yy = 0; | |
1074 | mpmont *mm = MPMONT_PY(me); | |
1075 | ||
1076 | if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy)) | |
1077 | goto end; | |
1078 | mp_div(0, &yy, yy, mm->m); | |
1079 | z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2)); | |
1080 | end: | |
1081 | if (yy) MP_DROP(yy); | |
1082 | return (z); | |
1083 | } | |
1084 | ||
1085 | static PyObject *mmmeth_mul(PyObject *me, PyObject *arg) | |
1086 | { | |
1087 | PyObject *rc = 0; | |
1088 | mp *yy = 0, *zz = 0; | |
1089 | ||
1090 | if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz)) | |
1091 | goto end; | |
1092 | rc = mp_pywrap(mpmont_mul(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1093 | end: | |
1094 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1095 | return (rc); | |
1096 | } | |
1097 | ||
1098 | static PyObject *mmmeth_exp(PyObject *me, PyObject *arg) | |
1099 | { | |
1100 | PyObject *rc = 0; | |
1101 | mp *yy = 0, *zz = 0; | |
1102 | ||
1103 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1104 | goto end; | |
1105 | if (MP_NEGP(zz)) { | |
1106 | if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end; | |
1107 | zz = mp_neg(zz, zz); | |
1108 | } | |
1109 | rc = mp_pywrap(mpmont_exp(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1110 | end: | |
1111 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1112 | return (rc); | |
1113 | } | |
1114 | ||
1115 | static PyObject *mmmeth_expr(PyObject *me, PyObject *arg) | |
1116 | { | |
1117 | PyObject *rc = 0; | |
1118 | mp *yy = 0, *zz = 0; | |
1119 | ||
1120 | if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz)) | |
1121 | goto end; | |
1122 | if (MP_NEGP(zz)) { | |
1123 | yy = mpmont_reduce(MPMONT_PY(me), yy, yy); | |
1124 | if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end; | |
1125 | yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2); | |
1126 | zz = mp_neg(zz, zz); | |
1127 | } | |
1128 | rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1129 | end: | |
1130 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1131 | return (rc); | |
1132 | } | |
1133 | ||
1134 | static PyObject *mm_mexpr_id(PyObject *me) | |
1135 | { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); } | |
1136 | ||
1137 | static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y) | |
1138 | { | |
1139 | mp *xx = 0, *yy = 0; | |
1140 | mp_expfactor *f = p; | |
1141 | mpmont *mm = MPMONT_PY(me); | |
1142 | ||
1143 | if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0) | |
1144 | goto fail; | |
1145 | if (MP_NEGP(yy)) { | |
1146 | xx = mpmont_reduce(mm, xx, xx); | |
1147 | if ((xx = mp_modinv_checked(xx, xx, yy)) == 0) | |
1148 | goto fail; | |
1149 | xx = mpmont_mul(mm, xx, xx, mm->r2); | |
1150 | yy = mp_neg(yy, yy); | |
1151 | } | |
1152 | f->base = xx; | |
1153 | f->exp = yy; | |
1154 | return (0); | |
1155 | ||
1156 | fail: | |
1157 | mp_drop(xx); mp_drop(yy); | |
1158 | return (-1); | |
1159 | } | |
1160 | ||
1161 | static PyObject *mm_mexpr(PyObject *me, void *v, int n) | |
1162 | { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); } | |
1163 | ||
1164 | static void mp_mexp_drop(void *p) | |
1165 | { | |
1166 | mp_expfactor *f = p; | |
1167 | mp_drop(f->base); | |
1168 | mp_drop(f->exp); | |
1169 | } | |
1170 | ||
1171 | static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg) | |
1172 | { | |
1173 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1174 | mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop); | |
1175 | } | |
1176 | ||
1177 | static PyObject *mp_mexp_id(PyObject *me) | |
1178 | { return mp_pywrap(MP_ONE); } | |
1179 | ||
1180 | static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y) | |
1181 | { | |
1182 | mp *xx = 0, *yy = 0; | |
1183 | mp_expfactor *f = p; | |
1184 | ||
1185 | if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0) | |
1186 | goto fail; | |
1187 | if (MP_NEGP(yy)) { | |
1188 | if ((xx = mp_modinv_checked(xx, xx, yy)) == 0) | |
1189 | goto fail; | |
1190 | yy = mp_neg(yy, yy); | |
1191 | } | |
1192 | f->base = xx; | |
1193 | f->exp = yy; | |
1194 | return (0); | |
1195 | ||
1196 | fail: | |
1197 | mp_drop(xx); mp_drop(yy); | |
1198 | return (-1); | |
1199 | } | |
1200 | ||
1201 | static PyObject *mm_mexp(PyObject *me, void *v, int n) | |
1202 | { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); } | |
1203 | ||
1204 | static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg) | |
1205 | { | |
1206 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1207 | mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop); | |
1208 | } | |
1209 | ||
1210 | #define mmmeth_ext mmmeth_reduce | |
1211 | static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg) | |
1212 | { | |
1213 | PyObject *z = 0; | |
1214 | mp *yy = 0; | |
1215 | ||
1216 | if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end; | |
1217 | z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy)); | |
1218 | end: | |
1219 | return (z); | |
1220 | } | |
1221 | ||
1222 | static void mpmont_pydealloc(PyObject *me) | |
1223 | { | |
1224 | mpmont_destroy(MPMONT_PY(me)); | |
3aa33042 | 1225 | FREEOBJ(me); |
d7ab1bab | 1226 | } |
1227 | ||
1228 | static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1229 | { | |
1230 | mpmont_pyobj *mm = 0; | |
1231 | char *kwlist[] = { "m", 0 }; | |
1232 | mp *xx = 0; | |
1233 | ||
1234 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx)) | |
1235 | goto end; | |
1236 | if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd"); | |
1237 | mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0); | |
1238 | mpmont_create(&mm->mm, xx); | |
1239 | end: | |
1240 | if (xx) MP_DROP(xx); | |
1241 | return ((PyObject *)mm); | |
1242 | } | |
1243 | ||
1244 | static PyObject *mmget_m(PyObject *me, void *hunoz) | |
1245 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); } | |
1246 | ||
1247 | static PyObject *mmget_r(PyObject *me, void *hunoz) | |
1248 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); } | |
1249 | ||
1250 | static PyObject *mmget_r2(PyObject *me, void *hunoz) | |
1251 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); } | |
1252 | ||
1253 | static PyGetSetDef mpmont_pygetset[] = { | |
1254 | #define GETSETNAME(op, name) mm##op##_##name | |
1255 | GET (m, "M.m -> modulus for reduction") | |
1256 | GET (r, "M.r -> multiplicative identity") | |
1257 | GET (r2, "M.r2 -> M.r^2, Montgomerization factor") | |
1258 | #undef GETSETNAME | |
1259 | { 0 } | |
1260 | }; | |
1261 | ||
1262 | static PyMethodDef mpmont_pymethods[] = { | |
1263 | #define METHNAME(name) mmmeth_##name | |
1264 | METH (int, "M.out(X) -> XR") | |
1265 | METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y") | |
1266 | METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m") | |
1267 | METH (mexpr, "\ | |
1268 | B.mexp([(XR0, N0), (XR1, N1), ...]) = ZR where Z = X0^N0 X1^N1 mod B.m\n\ | |
1269 | \t(the list may be flattened if this more convenient.)") | |
1270 | METH (reduce, "M.reduce(XR) -> X") | |
1271 | METH (ext, "M.ext(XR) -> X") | |
1272 | METH (exp, "M.exp(X, N) -> X^N mod M.m") | |
1273 | METH (mexp, "\ | |
1274 | B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 mod B.m\n\ | |
1275 | \t(the list may be flattened if this more convenient.)") | |
1276 | #undef METHNAME | |
1277 | { 0 } | |
1278 | }; | |
1279 | ||
1280 | static PyTypeObject *mpmont_pytype, mpmont_pytype_skel = { | |
6d4db0bf | 1281 | PyObject_HEAD_INIT(0) 0, /* Header */ |
d7ab1bab | 1282 | "catacomb.MPMont", /* @tp_name@ */ |
1283 | sizeof(mpmont_pyobj), /* @tp_basicsize@ */ | |
1284 | 0, /* @tp_itemsize@ */ | |
1285 | ||
1286 | mpmont_pydealloc, /* @tp_dealloc@ */ | |
1287 | 0, /* @tp_print@ */ | |
1288 | 0, /* @tp_getattr@ */ | |
1289 | 0, /* @tp_setattr@ */ | |
1290 | 0, /* @tp_compare@ */ | |
1291 | 0, /* @tp_repr@ */ | |
1292 | 0, /* @tp_as_number@ */ | |
1293 | 0, /* @tp_as_sequence@ */ | |
1294 | 0, /* @tp_as_mapping@ */ | |
1295 | 0, /* @tp_hash@ */ | |
1296 | 0, /* @tp_call@ */ | |
1297 | 0, /* @tp_str@ */ | |
1298 | 0, /* @tp_getattro@ */ | |
1299 | 0, /* @tp_setattro@ */ | |
1300 | 0, /* @tp_as_buffer@ */ | |
1301 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1302 | Py_TPFLAGS_BASETYPE, | |
1303 | ||
1304 | /* @tp_doc@ */ | |
1305 | "A Montgomery reduction context.", | |
1306 | ||
1307 | 0, /* @tp_traverse@ */ | |
1308 | 0, /* @tp_clear@ */ | |
1309 | 0, /* @tp_richcompare@ */ | |
1310 | 0, /* @tp_weaklistoffset@ */ | |
1311 | 0, /* @tp_iter@ */ | |
963a6148 | 1312 | 0, /* @tp_iternext@ */ |
d7ab1bab | 1313 | mpmont_pymethods, /* @tp_methods@ */ |
1314 | 0, /* @tp_members@ */ | |
1315 | mpmont_pygetset, /* @tp_getset@ */ | |
1316 | 0, /* @tp_base@ */ | |
1317 | 0, /* @tp_dict@ */ | |
1318 | 0, /* @tp_descr_get@ */ | |
1319 | 0, /* @tp_descr_set@ */ | |
1320 | 0, /* @tp_dictoffset@ */ | |
1321 | 0, /* @tp_init@ */ | |
1322 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1323 | mpmont_pynew, /* @tp_new@ */ | |
3aa33042 | 1324 | 0, /* @tp_free@ */ |
d7ab1bab | 1325 | 0 /* @tp_is_gc@ */ |
1326 | }; | |
1327 | ||
1328 | /*----- Barrett reduction -------------------------------------------------*/ | |
1329 | ||
1330 | typedef struct mpbarrett_pyobj { | |
1331 | PyObject_HEAD | |
1332 | mpbarrett mb; | |
1333 | } mpbarrett_pyobj; | |
1334 | ||
1335 | #define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb) | |
1336 | ||
1337 | static PyObject *mbmeth_exp(PyObject *me, PyObject *arg) | |
1338 | { | |
1339 | PyObject *rc = 0; | |
1340 | mp *yy = 0, *zz = 0; | |
1341 | ||
1342 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1343 | goto end; | |
1344 | if (MP_NEGP(zz)) { | |
1345 | if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end; | |
1346 | zz = mp_neg(zz, zz); | |
1347 | } | |
1348 | rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz)); | |
1349 | end: | |
1350 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1351 | return (rc); | |
1352 | } | |
1353 | ||
1354 | static PyObject *mb_mexp(PyObject *me, void *v, int n) | |
1355 | { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); } | |
1356 | ||
1357 | static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg) | |
1358 | { | |
1359 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1360 | mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop); | |
1361 | } | |
1362 | ||
1363 | static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg) | |
1364 | { | |
1365 | PyObject *z = 0; | |
1366 | mp *yy = 0; | |
1367 | ||
1368 | if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) | |
1369 | goto end; | |
1370 | z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy)); | |
1371 | end: | |
1372 | return (z); | |
1373 | } | |
1374 | ||
1375 | static void mpbarrett_pydealloc(PyObject *me) | |
1376 | { | |
1377 | mpbarrett_destroy(MPBARRETT_PY(me)); | |
3aa33042 | 1378 | FREEOBJ(me); |
d7ab1bab | 1379 | } |
1380 | ||
1381 | static PyObject *mpbarrett_pynew(PyTypeObject *ty, | |
1382 | PyObject *arg, PyObject *kw) | |
1383 | { | |
1384 | mpbarrett_pyobj *mb = 0; | |
1385 | char *kwlist[] = { "m", 0 }; | |
1386 | mp *xx = 0; | |
1387 | ||
1388 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx)) | |
1389 | goto end; | |
1390 | if (!MP_POSP(xx)) VALERR("m must be positive"); | |
1391 | mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0); | |
1392 | mpbarrett_create(&mb->mb, xx); | |
1393 | end: | |
1394 | if (xx) MP_DROP(xx); | |
1395 | return ((PyObject *)mb); | |
1396 | } | |
1397 | ||
1398 | static PyObject *mbget_m(PyObject *me, void *hunoz) | |
1399 | { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); } | |
1400 | ||
1401 | static PyGetSetDef mpbarrett_pygetset[] = { | |
1402 | #define GETSETNAME(op, name) mb##op##_##name | |
1403 | GET (m, "B.m -> modulus for reduction") | |
1404 | #undef GETSETNAME | |
1405 | { 0 } | |
1406 | }; | |
1407 | ||
1408 | static PyMethodDef mpbarrett_pymethods[] = { | |
1409 | #define METHNAME(name) mbmeth_##name | |
1410 | METH (reduce, "B.reduce(X) -> X mod B.m") | |
1411 | METH (exp, "B.exp(X, N) -> X^N mod B.m") | |
1412 | METH (mexp, "\ | |
1413 | B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 mod B.m\n\ | |
1414 | \t(the list may be flattened if this more convenient.)") | |
1415 | #undef METHNAME | |
1416 | { 0 } | |
1417 | }; | |
1418 | ||
1419 | static PyTypeObject *mpbarrett_pytype, mpbarrett_pytype_skel = { | |
6d4db0bf | 1420 | PyObject_HEAD_INIT(0) 0, /* Header */ |
d7ab1bab | 1421 | "catacomb.MPBarrett", /* @tp_name@ */ |
1422 | sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */ | |
1423 | 0, /* @tp_itemsize@ */ | |
1424 | ||
1425 | mpbarrett_pydealloc, /* @tp_dealloc@ */ | |
1426 | 0, /* @tp_print@ */ | |
1427 | 0, /* @tp_getattr@ */ | |
1428 | 0, /* @tp_setattr@ */ | |
1429 | 0, /* @tp_compare@ */ | |
1430 | 0, /* @tp_repr@ */ | |
1431 | 0, /* @tp_as_number@ */ | |
1432 | 0, /* @tp_as_sequence@ */ | |
1433 | 0, /* @tp_as_mapping@ */ | |
1434 | 0, /* @tp_hash@ */ | |
1435 | 0, /* @tp_call@ */ | |
1436 | 0, /* @tp_str@ */ | |
1437 | 0, /* @tp_getattro@ */ | |
1438 | 0, /* @tp_setattro@ */ | |
1439 | 0, /* @tp_as_buffer@ */ | |
1440 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1441 | Py_TPFLAGS_BASETYPE, | |
1442 | ||
1443 | /* @tp_doc@ */ | |
1444 | "A Barrett reduction context.", | |
1445 | ||
1446 | 0, /* @tp_traverse@ */ | |
1447 | 0, /* @tp_clear@ */ | |
1448 | 0, /* @tp_richcompare@ */ | |
1449 | 0, /* @tp_weaklistoffset@ */ | |
1450 | 0, /* @tp_iter@ */ | |
963a6148 | 1451 | 0, /* @tp_iternext@ */ |
d7ab1bab | 1452 | mpbarrett_pymethods, /* @tp_methods@ */ |
1453 | 0, /* @tp_members@ */ | |
1454 | mpbarrett_pygetset, /* @tp_getset@ */ | |
1455 | 0, /* @tp_base@ */ | |
1456 | 0, /* @tp_dict@ */ | |
1457 | 0, /* @tp_descr_get@ */ | |
1458 | 0, /* @tp_descr_set@ */ | |
1459 | 0, /* @tp_dictoffset@ */ | |
1460 | 0, /* @tp_init@ */ | |
1461 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1462 | mpbarrett_pynew, /* @tp_new@ */ | |
3aa33042 | 1463 | 0, /* @tp_free@ */ |
d7ab1bab | 1464 | 0 /* @tp_is_gc@ */ |
1465 | }; | |
1466 | ||
1467 | /*----- Nice prime reduction ----------------------------------------------*/ | |
1468 | ||
1469 | typedef struct mpreduce_pyobj { | |
1470 | PyObject_HEAD | |
1471 | mpreduce mr; | |
1472 | } mpreduce_pyobj; | |
1473 | ||
1474 | #define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr) | |
1475 | ||
1476 | static PyObject *mrmeth_exp(PyObject *me, PyObject *arg) | |
1477 | { | |
1478 | PyObject *rc = 0; | |
1479 | mp *yy = 0, *zz = 0; | |
1480 | ||
1481 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1482 | goto end; | |
1483 | if (MP_NEGP(zz)) { | |
1484 | if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end; | |
1485 | zz = mp_neg(zz, zz); | |
1486 | } | |
1487 | rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz)); | |
1488 | end: | |
1489 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1490 | return (rc); | |
1491 | } | |
1492 | ||
1493 | static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg) | |
1494 | { | |
1495 | PyObject *z = 0; | |
1496 | mp *yy = 0; | |
1497 | ||
1498 | if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end; | |
1499 | z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy)); | |
1500 | end: | |
1501 | return (z); | |
1502 | } | |
1503 | ||
1504 | static void mpreduce_pydealloc(PyObject *me) | |
1505 | { | |
1506 | mpreduce_destroy(MPREDUCE_PY(me)); | |
3aa33042 | 1507 | FREEOBJ(me); |
d7ab1bab | 1508 | } |
1509 | ||
1510 | static PyObject *mpreduce_pynew(PyTypeObject *ty, | |
1511 | PyObject *arg, PyObject *kw) | |
1512 | { | |
1513 | mpreduce_pyobj *mr = 0; | |
1514 | mpreduce r; | |
1515 | char *kwlist[] = { "m", 0 }; | |
1516 | mp *xx = 0; | |
1517 | ||
1518 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx)) | |
1519 | goto end; | |
1520 | if (!MP_POSP(xx)) VALERR("m must be positive"); | |
1521 | if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)"); | |
1522 | mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0); | |
1523 | mr->mr = r; | |
1524 | end: | |
1525 | if (xx) MP_DROP(xx); | |
1526 | return ((PyObject *)mr); | |
1527 | } | |
1528 | ||
1529 | static PyObject *mrget_m(PyObject *me, void *hunoz) | |
1530 | { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); } | |
1531 | ||
1532 | static PyGetSetDef mpreduce_pygetset[] = { | |
1533 | #define GETSETNAME(op, name) mr##op##_##name | |
1534 | GET (m, "R.m -> modulus for reduction") | |
1535 | #undef GETSETNAME | |
1536 | { 0 } | |
1537 | }; | |
1538 | ||
1539 | static PyMethodDef mpreduce_pymethods[] = { | |
1540 | #define METHNAME(name) mrmeth_##name | |
1541 | METH (reduce, "R.reduce(X) -> X mod B.m") | |
1542 | METH (exp, "R.exp(X, N) -> X^N mod B.m") | |
1543 | #undef METHNAME | |
1544 | { 0 } | |
1545 | }; | |
1546 | ||
1547 | static PyTypeObject *mpreduce_pytype, mpreduce_pytype_skel = { | |
6d4db0bf | 1548 | PyObject_HEAD_INIT(0) 0, /* Header */ |
d7ab1bab | 1549 | "catacomb.MPReduce", /* @tp_name@ */ |
1550 | sizeof(mpreduce_pyobj), /* @tp_basicsize@ */ | |
1551 | 0, /* @tp_itemsize@ */ | |
1552 | ||
1553 | mpreduce_pydealloc, /* @tp_dealloc@ */ | |
1554 | 0, /* @tp_print@ */ | |
1555 | 0, /* @tp_getattr@ */ | |
1556 | 0, /* @tp_setattr@ */ | |
1557 | 0, /* @tp_compare@ */ | |
1558 | 0, /* @tp_repr@ */ | |
1559 | 0, /* @tp_as_number@ */ | |
1560 | 0, /* @tp_as_sequence@ */ | |
1561 | 0, /* @tp_as_mapping@ */ | |
1562 | 0, /* @tp_hash@ */ | |
1563 | 0, /* @tp_call@ */ | |
1564 | 0, /* @tp_str@ */ | |
1565 | 0, /* @tp_getattro@ */ | |
1566 | 0, /* @tp_setattro@ */ | |
1567 | 0, /* @tp_as_buffer@ */ | |
1568 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1569 | Py_TPFLAGS_BASETYPE, | |
1570 | ||
1571 | /* @tp_doc@ */ | |
1572 | "A reduction context for reduction modulo primes of special form.", | |
1573 | ||
1574 | 0, /* @tp_traverse@ */ | |
1575 | 0, /* @tp_clear@ */ | |
1576 | 0, /* @tp_richcompare@ */ | |
1577 | 0, /* @tp_weaklistoffset@ */ | |
1578 | 0, /* @tp_iter@ */ | |
963a6148 | 1579 | 0, /* @tp_iternext@ */ |
d7ab1bab | 1580 | mpreduce_pymethods, /* @tp_methods@ */ |
1581 | 0, /* @tp_members@ */ | |
1582 | mpreduce_pygetset, /* @tp_getset@ */ | |
1583 | 0, /* @tp_base@ */ | |
1584 | 0, /* @tp_dict@ */ | |
1585 | 0, /* @tp_descr_get@ */ | |
1586 | 0, /* @tp_descr_set@ */ | |
1587 | 0, /* @tp_dictoffset@ */ | |
1588 | 0, /* @tp_init@ */ | |
1589 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1590 | mpreduce_pynew, /* @tp_new@ */ | |
3aa33042 | 1591 | 0, /* @tp_free@ */ |
d7ab1bab | 1592 | 0 /* @tp_is_gc@ */ |
1593 | }; | |
1594 | ||
1595 | /*----- Chinese Remainder Theorem solution --------------------------------*/ | |
1596 | ||
1597 | typedef struct mpcrt_pyobj { | |
1598 | PyObject_HEAD | |
1599 | mpcrt c; | |
1600 | } mpcrt_pyobj; | |
1601 | ||
1602 | #define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c) | |
1603 | ||
1604 | static PyObject *mcmeth_solve(PyObject *me, PyObject *arg) | |
1605 | { | |
1606 | mpcrt *c = MPCRT_PY(me); | |
1607 | PyObject *q = 0, *x, *z = 0; | |
1608 | mp *xx; | |
1609 | mp **v = 0; | |
1610 | int i = 0, n = c->k; | |
1611 | ||
1612 | Py_INCREF(me); | |
1613 | if (PyTuple_Size(arg) == n) | |
1614 | q = arg; | |
1615 | else if (!PyArg_ParseTuple(arg, "O:solve", &q)) | |
1616 | goto end; | |
1617 | Py_INCREF(q); | |
1618 | if (!PySequence_Check(q)) TYERR("want a sequence of residues"); | |
1619 | if (PySequence_Size(q) != n) VALERR("residue count mismatch"); | |
1620 | v = xmalloc(n * sizeof(*v)); | |
1621 | for (i = 0; i < n; i++) { | |
1622 | if ((x = PySequence_GetItem(q, i)) == 0) goto end; | |
1623 | xx = getmp(x); Py_DECREF(x); if (!xx) goto end; | |
1624 | v[i] = xx; | |
1625 | } | |
1626 | z = mp_pywrap(mpcrt_solve(c, MP_NEW, v)); | |
1627 | end: | |
1628 | if (v) { | |
1629 | n = i; | |
1630 | for (i = 0; i < n; i++) | |
1631 | MP_DROP(v[i]); | |
1632 | xfree(v); | |
1633 | } | |
1634 | Py_DECREF(me); | |
1635 | Py_XDECREF(q); | |
1636 | return (z); | |
1637 | } | |
1638 | ||
1639 | static void mpcrt_pydealloc(PyObject *me) | |
1640 | { | |
1641 | mpcrt *c = MPCRT_PY(me); | |
1642 | mpcrt_destroy(c); | |
1643 | xfree(c->v); | |
1644 | } | |
1645 | ||
1646 | static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1647 | { | |
1648 | mpcrt_mod *v = 0; | |
1649 | int n, i = 0; | |
1650 | char *kwlist[] = { "mv", 0 }; | |
1651 | PyObject *q = 0, *x; | |
1652 | mp *xx; | |
1653 | mpcrt_pyobj *c = 0; | |
1654 | ||
1655 | if (PyTuple_Size(arg) > 1) | |
1656 | q = arg; | |
1657 | else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", kwlist, &q)) | |
1658 | goto end; | |
1659 | Py_INCREF(q); | |
1660 | if (!PySequence_Check(q)) TYERR("want a sequence of moduli"); | |
1661 | n = PySequence_Size(q); | |
1662 | if (PyErr_Occurred()) goto end; | |
1663 | if (!n) VALERR("want at least one modulus"); | |
1664 | v = xmalloc(n * sizeof(*v)); | |
1665 | for (i = 0; i < n; i++) { | |
1666 | if ((x = PySequence_GetItem(q, i)) == 0) goto end; | |
1667 | xx = getmp(x); Py_DECREF(x); if (!xx) goto end; | |
1668 | v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0; | |
1669 | } | |
1670 | c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0); | |
1671 | mpcrt_create(&c->c, v, n, 0); | |
1672 | Py_DECREF(q); | |
1673 | return ((PyObject *)c); | |
1674 | ||
1675 | end: | |
1676 | if (v) { | |
1677 | n = i; | |
1678 | for (i = 0; i < n; i++) | |
1679 | MP_DROP(v[i].m); | |
1680 | xfree(v); | |
1681 | } | |
1682 | Py_XDECREF(q); | |
1683 | return (0); | |
1684 | } | |
1685 | ||
1686 | static PyObject *mcget_product(PyObject *me, void *hunoz) | |
1687 | { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); } | |
1688 | ||
1689 | static PyObject *mcget_moduli(PyObject *me, void *hunoz) | |
1690 | { | |
1691 | int i; | |
1692 | PyObject *q; | |
1693 | mpcrt *c = MPCRT_PY(me); | |
1694 | ||
1695 | if ((q = PyList_New(c->k)) == 0) return (0); | |
1696 | for (i = 0; i < c->k; i++) | |
1697 | PyList_SetItem(q, i, mp_pywrap(c->v[i].m)); | |
1698 | return (q); | |
1699 | } | |
1700 | ||
1701 | static PyGetSetDef mpcrt_pygetset[] = { | |
1702 | #define GETSETNAME(op, name) mc##op##_##name | |
1703 | GET (product, "C.product -> product of moduli") | |
1704 | GET (moduli, "C.moduli -> list of individual moduli") | |
1705 | #undef GETSETNAME | |
1706 | { 0 } | |
1707 | }; | |
1708 | ||
1709 | static PyMethodDef mpcrt_pymethods[] = { | |
1710 | #define METHNAME(name) mcmeth_##name | |
1711 | METH (solve, "C.solve([R0, R1]) -> X mod C.product") | |
1712 | #undef METHNAME | |
1713 | { 0 } | |
1714 | }; | |
1715 | ||
1716 | static PyTypeObject *mpcrt_pytype, mpcrt_pytype_skel = { | |
6d4db0bf | 1717 | PyObject_HEAD_INIT(0) 0, /* Header */ |
d7ab1bab | 1718 | "catacomb.MPCRT", /* @tp_name@ */ |
1719 | sizeof(mpcrt_pyobj), /* @tp_basicsize@ */ | |
1720 | 0, /* @tp_itemsize@ */ | |
1721 | ||
1722 | mpcrt_pydealloc, /* @tp_dealloc@ */ | |
1723 | 0, /* @tp_print@ */ | |
1724 | 0, /* @tp_getattr@ */ | |
1725 | 0, /* @tp_setattr@ */ | |
1726 | 0, /* @tp_compare@ */ | |
1727 | 0, /* @tp_repr@ */ | |
1728 | 0, /* @tp_as_number@ */ | |
1729 | 0, /* @tp_as_sequence@ */ | |
1730 | 0, /* @tp_as_mapping@ */ | |
1731 | 0, /* @tp_hash@ */ | |
1732 | 0, /* @tp_call@ */ | |
1733 | 0, /* @tp_str@ */ | |
1734 | 0, /* @tp_getattro@ */ | |
1735 | 0, /* @tp_setattro@ */ | |
1736 | 0, /* @tp_as_buffer@ */ | |
1737 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1738 | Py_TPFLAGS_BASETYPE, | |
1739 | ||
1740 | /* @tp_doc@ */ | |
1741 | "A context for the solution of Chinese Remainder Theorem problems.", | |
1742 | ||
1743 | 0, /* @tp_traverse@ */ | |
1744 | 0, /* @tp_clear@ */ | |
1745 | 0, /* @tp_richcompare@ */ | |
1746 | 0, /* @tp_weaklistoffset@ */ | |
1747 | 0, /* @tp_iter@ */ | |
963a6148 | 1748 | 0, /* @tp_iternext@ */ |
d7ab1bab | 1749 | mpcrt_pymethods, /* @tp_methods@ */ |
1750 | 0, /* @tp_members@ */ | |
1751 | mpcrt_pygetset, /* @tp_getset@ */ | |
1752 | 0, /* @tp_base@ */ | |
1753 | 0, /* @tp_dict@ */ | |
1754 | 0, /* @tp_descr_get@ */ | |
1755 | 0, /* @tp_descr_set@ */ | |
1756 | 0, /* @tp_dictoffset@ */ | |
1757 | 0, /* @tp_init@ */ | |
1758 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1759 | mpcrt_pynew, /* @tp_new@ */ | |
3aa33042 | 1760 | 0, /* @tp_free@ */ |
d7ab1bab | 1761 | 0 /* @tp_is_gc@ */ |
1762 | }; | |
1763 | ||
1764 | /*----- Binary polynomials ------------------------------------------------*/ | |
1765 | ||
1766 | static PyObject *gf_pyrepr(PyObject *o) | |
1767 | { return mp_topystring(MP_X(o), 16, "GF(", "0x", "L)"); } | |
1768 | ||
1769 | static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op) | |
1770 | { | |
1771 | mp *xx, *yy; | |
1772 | int xl, yl; | |
1773 | int b; | |
1774 | ||
1775 | if (mpbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; | |
1776 | switch (op) { | |
1777 | case Py_EQ: b = MP_EQ(xx, yy); break; | |
1778 | case Py_NE: b = !MP_EQ(xx, yy); break; | |
1779 | default: | |
1780 | xl = mp_bits(xx); | |
1781 | yl = mp_bits(yy); | |
1782 | switch (op) { | |
1783 | case Py_LT: b = xl < yl; break; | |
1784 | case Py_LE: b = xl <= yl; break; | |
1785 | case Py_GT: b = xl > yl; break; | |
1786 | case Py_GE: b = xl >= yl; break; | |
1787 | default: abort(); | |
1788 | } | |
1789 | break; | |
1790 | } | |
1791 | MP_DROP(xx); MP_DROP(yy); | |
1792 | return (getbool(b)); | |
1793 | } | |
1794 | ||
1795 | static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1796 | { | |
1797 | PyObject *x; | |
1798 | mp *z; | |
1799 | mp_pyobj *zz = 0; | |
1800 | int radix = 0; | |
1801 | char *kwlist[] = { "x", "radix", 0 }; | |
1802 | ||
1803 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", kwlist, &x, &radix)) | |
1804 | goto end; | |
1805 | if (GF_PYCHECK(x)) RETURN_OBJ(x); | |
f368b46e | 1806 | if (!good_radix_p(radix, 1)) VALERR("radix out of range"); |
d7ab1bab | 1807 | if ((z = mp_frompyobject(x, radix)) == 0) { |
1808 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf", | |
1809 | x->ob_type->tp_name); | |
1810 | goto end; | |
1811 | } | |
1812 | if (MP_NEGP(z)) { | |
1813 | MP_DROP(z); | |
1814 | VALERR("gf cannot be negative"); | |
1815 | } | |
1816 | zz = (mp_pyobj *)ty->tp_alloc(ty, 0); | |
1817 | zz->x = z; | |
1818 | end: | |
1819 | return ((PyObject *)zz); | |
1820 | } | |
1821 | ||
1822 | static long gf_pyhash(PyObject *me) | |
1823 | { | |
1824 | long i = mp_tolong(MP_X(me)); | |
1825 | i ^= 0xc7ecd67c; /* random perturbance */ | |
1826 | if (i == -1) | |
1827 | i = -2; | |
1828 | return (i); | |
1829 | } | |
1830 | ||
1831 | static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z) | |
1832 | { | |
1833 | mp *xx = 0, *yy = 0, *zz = 0; | |
1834 | mp *r = 0; | |
1835 | PyObject *rc = 0; | |
1836 | ||
1837 | if ((xx = tomp(x)) == 0 || (yy = tomp(y)) == 0 || | |
1838 | (z && z != Py_None && (zz = tomp(z)) == 0)) { | |
1839 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
1840 | RETURN_NOTIMPL; | |
1841 | } | |
1842 | if (!z || z == Py_None) { | |
1843 | if (MP_NEGP(yy)) VALERR("negative exponent"); | |
1844 | r = gf_exp(MP_NEW, xx, yy); | |
1845 | } else { | |
1846 | gfreduce gr; | |
1847 | if (MP_ZEROP(zz)) ZDIVERR("zero modulus"); | |
1848 | if (MP_NEGP(yy)) { | |
1849 | if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end; | |
1850 | yy = mp_neg(yy, yy); | |
1851 | } | |
1852 | gfreduce_create(&gr, zz); | |
1853 | r = gfreduce_exp(&gr, MP_NEW, xx, yy); | |
1854 | gfreduce_destroy(&gr); | |
1855 | } | |
1856 | rc = gf_pywrap(r); | |
1857 | end: | |
1858 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
1859 | return (rc); | |
1860 | } | |
1861 | ||
1862 | static PyObject *gfmeth_sqr(PyObject *me, PyObject *arg) | |
1863 | { | |
1864 | if (!PyArg_ParseTuple(arg, ":sqr")) return (0); | |
1865 | return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me)))); | |
1866 | } | |
1867 | ||
1868 | static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg) | |
1869 | { | |
1870 | PyObject *z = 0; | |
1871 | mp *yy = 0, *zz = MP_NEW; | |
1872 | ||
1873 | if (!PyArg_ParseTuple(arg, "O&:gcd", convgf, &yy)) goto end; | |
1874 | gf_gcd(&zz, 0, 0, MP_X(me), yy); | |
1875 | z = gf_pywrap(zz); | |
1876 | end: | |
1877 | if (yy) MP_DROP(yy); | |
1878 | return (z); | |
1879 | } | |
1880 | ||
1881 | static PyObject *gfmeth_gcdx(PyObject *me, PyObject *arg) | |
1882 | { | |
1883 | PyObject *z = 0; | |
1884 | mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW; | |
1885 | ||
1886 | if (!PyArg_ParseTuple(arg, "O&:gcdx", convgf, &yy)) | |
1887 | goto end; | |
1888 | gf_gcd(&zz, &uu, &vv, MP_X(me), yy); | |
1889 | z = Py_BuildValue("(NNN)", | |
1890 | gf_pywrap(zz), gf_pywrap(uu), gf_pywrap(vv)); | |
1891 | end: | |
1892 | if (yy) MP_DROP(yy); | |
1893 | return (z); | |
1894 | } | |
1895 | ||
1896 | static PyObject *gfmeth_modinv(PyObject *me, PyObject *arg) | |
1897 | { | |
1898 | PyObject *z = 0; | |
1899 | mp *yy = 0, *zz = MP_NEW; | |
1900 | ||
1901 | if (!PyArg_ParseTuple(arg, "O&:modinv", convgf, &yy) || | |
1902 | (zz = gf_modinv_checked(MP_NEW, yy, MP_X(me))) == 0) | |
1903 | goto end; | |
1904 | z = gf_pywrap(zz); | |
1905 | end: | |
1906 | if (yy) MP_DROP(yy); | |
1907 | return (z); | |
1908 | } | |
1909 | ||
1910 | static PyObject *gfmeth_irreduciblep(PyObject *me, PyObject *arg) | |
1911 | { | |
1912 | if (!PyArg_ParseTuple(arg, ":irreduciblep")) return (0); | |
1913 | return getbool(gf_irreduciblep(MP_X(me))); | |
1914 | } | |
1915 | ||
1916 | static PyObject *gfget_degree(PyObject *me, void *hunoz) | |
1917 | { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); } | |
1918 | ||
1919 | static PyGetSetDef gf_pygetset[] = { | |
1920 | #define GETSETNAME(op, name) gf##op##_##name | |
1921 | GET (degree, "X.degree -> polynomial degree of X") | |
1922 | #undef GETSETNAME | |
1923 | #define GETSETNAME(op, name) mp##op##_##name | |
1924 | GET (nbits, "X.nbits -> bit length of X") | |
1925 | GET (noctets, "X.noctets -> octet length of X") | |
1926 | #undef GETSETNAME | |
1927 | { 0 } | |
1928 | }; | |
1929 | ||
1930 | static PyMethodDef gf_pymethods[] = { | |
1931 | #define METHNAME(func) gfmeth_##func | |
1932 | METH (setbit, "X.setbit(N) -> X with bit N set") | |
1933 | METH (clearbit, "X.clearbit(N) -> X with bit N clear") | |
1934 | METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X") | |
1935 | METH (sqr, "X.sqr() -> X^2") | |
1936 | METH (gcd, "X.gcd(Y) -> gcd(X, Y)") | |
1937 | METH (gcdx, | |
1938 | "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)") | |
1939 | METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X") | |
1940 | METH (irreduciblep, "X.irreduciblep() -> true/false") | |
1941 | #undef METHNAME | |
1942 | #define METHNAME(func) mpmeth_##func | |
1943 | KWMETH(tostring, "X.tostring(radix = 10) -> STR") | |
1944 | KWMETH(storel, "X.storel(len = -1) -> little-endian bytes") | |
1945 | KWMETH(storeb, "X.storeb(len = -1) -> big-endian bytes") | |
1946 | KWMETH(storel2c, | |
1947 | "X.storel2c(len = -1) -> little-endian bytes, two's complement") | |
1948 | KWMETH(storeb2c, | |
1949 | "X.storeb2c(len = -1) -> big-endian bytes, two's complement") | |
1950 | METH (tobuf, "X.tobuf() -> buffer format") | |
1951 | #undef METHNAME | |
1952 | { 0 } | |
1953 | }; | |
1954 | ||
1955 | static PyNumberMethods gf_pynumber = { | |
1956 | gf_pyadd, /* @nb_add@ */ | |
1957 | gf_pysub, /* @nb_subtract@ */ | |
1958 | gf_pymul, /* @nb_multiply@ */ | |
1959 | 0, /* @nb_divide@ */ | |
1960 | gf_pymod, /* @nb_remainder@ */ | |
1961 | gf_pydivmod, /* @nb_divmod@ */ | |
1962 | gf_pyexp, /* @nb_power@ */ | |
1963 | mp_pyid, /* @nb_negative@ */ | |
1964 | mp_pyid, /* @nb_positive@ */ | |
1965 | mp_pyid, /* @nb_absolute@ */ | |
1966 | mp_pynonzerop, /* @nb_nonzero@ */ | |
1967 | 0 /* doesn't make any sense */, /* @nb_invert@ */ | |
1968 | gf_pylsl, /* @nb_lshift@ */ | |
1969 | gf_pylsr, /* @nb_rshift@ */ | |
1970 | gf_pyand, /* @nb_and@ */ | |
1971 | gf_pyxor, /* @nb_xor@ */ | |
1972 | gf_pyor, /* @nb_or@ */ | |
1973 | gf_pycoerce, /* @nb_coerce@ */ | |
1974 | mp_pyint, /* @nb_int@ */ | |
1975 | mp_pylong, /* @nb_long@ */ | |
1976 | 0 /* doesn't make any sense */, /* @nb_float@ */ | |
1977 | mp_pyoct, /* @nb_oct@ */ | |
1978 | mp_pyhex, /* @nb_hex@ */ | |
1979 | ||
1980 | 0, /* @nb_inplace_add@ */ | |
1981 | 0, /* @nb_inplace_subtract@ */ | |
1982 | 0, /* @nb_inplace_multiply@ */ | |
1983 | 0, /* @nb_inplace_divide@ */ | |
1984 | 0, /* @nb_inplace_remainder@ */ | |
1985 | 0, /* @nb_inplace_power@ */ | |
1986 | 0, /* @nb_inplace_lshift@ */ | |
1987 | 0, /* @nb_inplace_rshift@ */ | |
1988 | 0, /* @nb_inplace_and@ */ | |
1989 | 0, /* @nb_inplace_xor@ */ | |
1990 | 0, /* @nb_inplace_or@ */ | |
1991 | ||
1992 | gf_pydiv, /* @nb_floor_divide@ */ | |
1993 | 0, /* @nb_true_divide@ */ | |
1994 | 0, /* @nb_inplace_floor_divide@ */ | |
1995 | 0, /* @nb_inplace_true_divide@ */ | |
1996 | }; | |
1997 | ||
1998 | static PyTypeObject gf_pytype_skel = { | |
6d4db0bf | 1999 | PyObject_HEAD_INIT(0) 0, /* Header */ |
d7ab1bab | 2000 | "catacomb.GF", /* @tp_name@ */ |
2001 | sizeof(mp_pyobj), /* @tp_basicsize@ */ | |
2002 | 0, /* @tp_itemsize@ */ | |
2003 | ||
2004 | mp_pydealloc, /* @tp_dealloc@ */ | |
2005 | 0, /* @tp_print@ */ | |
2006 | 0, /* @tp_getattr@ */ | |
2007 | 0, /* @tp_setattr@ */ | |
2008 | 0, /* @tp_compare@ */ | |
2009 | gf_pyrepr, /* @tp_repr@ */ | |
2010 | &gf_pynumber, /* @tp_as_number@ */ | |
2011 | 0, /* @tp_as_sequence@ */ | |
2012 | 0, /* @tp_as_mapping@ */ | |
2013 | gf_pyhash, /* @tp_hash@ */ | |
2014 | 0, /* @tp_call@ */ | |
2015 | mp_pyhex, /* @tp_str@ */ | |
2016 | 0, /* @tp_getattro@ */ | |
2017 | 0, /* @tp_setattro@ */ | |
2018 | 0, /* @tp_as_buffer@ */ | |
2019 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2020 | Py_TPFLAGS_CHECKTYPES | | |
2021 | Py_TPFLAGS_BASETYPE, | |
2022 | ||
2023 | /* @tp_doc@ */ | |
2024 | "Binary polynomials. Support almost all the standard arithmetic\n\ | |
2025 | operations.\n\ | |
2026 | \n\ | |
2027 | Constructor gf(X, radix = R) attempts to convert X to a `gf'. If\n\ | |
2028 | X is a string, it's read in radix-R form, or we look for a prefix\n\ | |
2029 | if R = 0. Other acceptable things are ints and longs.\n\ | |
2030 | \n\ | |
2031 | The name is hopelessly wrong from a technical point of view, but\n\ | |
2032 | but it's much easier to type than `p2' or `c2' or whatever.\n\ | |
2033 | \n\ | |
2034 | Notes:\n\ | |
2035 | \n\ | |
2036 | * Use `//' for division. GFs don't have `/' division.", | |
2037 | ||
2038 | 0, /* @tp_traverse@ */ | |
2039 | 0, /* @tp_clear@ */ | |
2040 | gf_pyrichcompare, /* @tp_richcompare@ */ | |
2041 | 0, /* @tp_weaklistoffset@ */ | |
2042 | 0, /* @tp_iter@ */ | |
963a6148 | 2043 | 0, /* @tp_iternext@ */ |
d7ab1bab | 2044 | gf_pymethods, /* @tp_methods@ */ |
2045 | 0, /* @tp_members@ */ | |
2046 | gf_pygetset, /* @tp_getset@ */ | |
2047 | 0, /* @tp_base@ */ | |
2048 | 0, /* @tp_dict@ */ | |
2049 | 0, /* @tp_descr_get@ */ | |
2050 | 0, /* @tp_descr_set@ */ | |
2051 | 0, /* @tp_dictoffset@ */ | |
2052 | 0, /* @tp_init@ */ | |
2053 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2054 | gf_pynew, /* @tp_new@ */ | |
3aa33042 | 2055 | 0, /* @tp_free@ */ |
d7ab1bab | 2056 | 0 /* @tp_is_gc@ */ |
2057 | }; | |
2058 | ||
2059 | static PyObject *meth__GF_fromstring(PyObject *me, | |
2060 | PyObject *arg, PyObject *kw) | |
2061 | { | |
2062 | int r = 0; | |
2063 | char *p; | |
2064 | int len; | |
2065 | PyObject *z = 0; | |
2066 | mp *zz; | |
2067 | mptext_stringctx sc; | |
2068 | char *kwlist[] = { "class", "x", "radix", 0 }; | |
2069 | ||
2070 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring", | |
2071 | kwlist, &me, &p, &len, &r)) | |
2072 | goto end; | |
4b3890c7 | 2073 | if (!good_radix_p(r, 1)) VALERR("bad radix"); |
d7ab1bab | 2074 | sc.buf = p; sc.lim = p + len; |
4b3890c7 MW |
2075 | if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 || |
2076 | MP_NEGP(zz)) { | |
2077 | if (zz) MP_DROP(zz); | |
2078 | SYNERR("bad binary polynomial"); | |
2079 | } | |
2080 | z = Py_BuildValue("(Ns#)", gf_pywrap(zz), sc.buf, (int)(sc.lim - sc.buf)); | |
d7ab1bab | 2081 | end: |
2082 | return (z); | |
2083 | } | |
2084 | ||
2085 | /*----- Sparse poly reduction ---------------------------------------------*/ | |
2086 | ||
2087 | typedef struct gfreduce_pyobj { | |
2088 | PyObject_HEAD | |
2089 | gfreduce mr; | |
2090 | } gfreduce_pyobj; | |
2091 | ||
2092 | #define GFREDUCE_PY(o) (&((gfreduce_pyobj *)(o))->mr) | |
2093 | ||
2094 | static PyObject *grmeth_exp(PyObject *me, PyObject *arg) | |
2095 | { | |
2096 | PyObject *rc = 0; | |
2097 | mp *yy = 0, *zz = 0; | |
2098 | ||
2099 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convgf, &yy, convgf, &zz)) | |
2100 | goto end; | |
2101 | if (MP_NEGP(zz)) { | |
2102 | if ((yy = gf_modinv_checked(yy, yy, GFREDUCE_PY(me)->p)) == 0) goto end; | |
2103 | zz = mp_neg(zz, zz); | |
2104 | } | |
2105 | rc = gf_pywrap(gfreduce_exp(GFREDUCE_PY(me), MP_NEW, yy, zz)); | |
2106 | end: | |
2107 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
2108 | return (rc); | |
2109 | } | |
2110 | ||
2111 | static PyObject *grmeth_reduce(PyObject *me, PyObject *arg) | |
2112 | { | |
2113 | PyObject *z = 0; | |
2114 | mp *yy = 0; | |
2115 | ||
2116 | if (!PyArg_ParseTuple(arg, "O&:reduce", convgf, &yy)) goto end; | |
2117 | z = gf_pywrap(gfreduce_do(GFREDUCE_PY(me), MP_NEW, yy)); | |
2118 | end: | |
2119 | return (z); | |
2120 | } | |
2121 | ||
2122 | static void gfreduce_pydealloc(PyObject *me) | |
2123 | { | |
2124 | gfreduce_destroy(GFREDUCE_PY(me)); | |
3aa33042 | 2125 | FREEOBJ(me); |
d7ab1bab | 2126 | } |
2127 | ||
2128 | static PyObject *gfreduce_pynew(PyTypeObject *ty, | |
2129 | PyObject *arg, PyObject *kw) | |
2130 | { | |
2131 | gfreduce_pyobj *mr = 0; | |
2132 | gfreduce r; | |
2133 | char *kwlist[] = { "m", 0 }; | |
2134 | mp *xx = 0; | |
2135 | ||
2136 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convgf, &xx)) | |
2137 | goto end; | |
2138 | if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!"); | |
2139 | gfreduce_create(&r, xx); | |
2140 | mr = (gfreduce_pyobj *)ty->tp_alloc(ty, 0); | |
2141 | mr->mr = r; | |
2142 | end: | |
2143 | if (xx) MP_DROP(xx); | |
2144 | return ((PyObject *)mr); | |
2145 | } | |
2146 | ||
2147 | static PyObject *grget_m(PyObject *me, void *hunoz) | |
2148 | { return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); } | |
2149 | ||
2150 | static PyGetSetDef gfreduce_pygetset[] = { | |
2151 | #define GETSETNAME(op, name) gr##op##_##name | |
2152 | GET (m, "R.m -> reduction polynomial") | |
2153 | #undef GETSETNAME | |
2154 | { 0 } | |
2155 | }; | |
2156 | ||
2157 | static PyMethodDef gfreduce_pymethods[] = { | |
2158 | #define METHNAME(name) grmeth_##name | |
2159 | METH (reduce, "R.reduce(X) -> X mod B.m") | |
2160 | METH (exp, "R.exp(X, N) -> X^N mod B.m") | |
2161 | #undef METHNAME | |
2162 | { 0 } | |
2163 | }; | |
2164 | ||
2165 | static PyTypeObject *gfreduce_pytype, gfreduce_pytype_skel = { | |
6d4db0bf | 2166 | PyObject_HEAD_INIT(0) 0, /* Header */ |
d7ab1bab | 2167 | "catacomb.GFReduce", /* @tp_name@ */ |
2168 | sizeof(gfreduce_pyobj), /* @tp_basicsize@ */ | |
2169 | 0, /* @tp_itemsize@ */ | |
2170 | ||
2171 | gfreduce_pydealloc, /* @tp_dealloc@ */ | |
2172 | 0, /* @tp_print@ */ | |
2173 | 0, /* @tp_getattr@ */ | |
2174 | 0, /* @tp_setattr@ */ | |
2175 | 0, /* @tp_compare@ */ | |
2176 | 0, /* @tp_repr@ */ | |
2177 | 0, /* @tp_as_number@ */ | |
2178 | 0, /* @tp_as_sequence@ */ | |
2179 | 0, /* @tp_as_mapping@ */ | |
2180 | 0, /* @tp_hash@ */ | |
2181 | 0, /* @tp_call@ */ | |
2182 | 0, /* @tp_str@ */ | |
2183 | 0, /* @tp_getattro@ */ | |
2184 | 0, /* @tp_setattro@ */ | |
2185 | 0, /* @tp_as_buffer@ */ | |
2186 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2187 | Py_TPFLAGS_BASETYPE, | |
2188 | ||
2189 | /* @tp_doc@ */ | |
2190 | "A reduction context for reduction modulo sparse irreducible polynomials.", | |
2191 | ||
2192 | 0, /* @tp_traverse@ */ | |
2193 | 0, /* @tp_clear@ */ | |
2194 | 0, /* @tp_richcompare@ */ | |
2195 | 0, /* @tp_weaklistoffset@ */ | |
2196 | 0, /* @tp_iter@ */ | |
963a6148 | 2197 | 0, /* @tp_iternext@ */ |
d7ab1bab | 2198 | gfreduce_pymethods, /* @tp_methods@ */ |
2199 | 0, /* @tp_members@ */ | |
2200 | gfreduce_pygetset, /* @tp_getset@ */ | |
2201 | 0, /* @tp_base@ */ | |
2202 | 0, /* @tp_dict@ */ | |
2203 | 0, /* @tp_descr_get@ */ | |
2204 | 0, /* @tp_descr_set@ */ | |
2205 | 0, /* @tp_dictoffset@ */ | |
2206 | 0, /* @tp_init@ */ | |
2207 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2208 | gfreduce_pynew, /* @tp_new@ */ | |
3aa33042 | 2209 | 0, /* @tp_free@ */ |
d7ab1bab | 2210 | 0 /* @tp_is_gc@ */ |
2211 | }; | |
2212 | ||
2213 | /*----- Normal/poly transformation ----------------------------------------*/ | |
2214 | ||
2215 | typedef struct gfn_pyobj { | |
2216 | PyObject_HEAD | |
2217 | mp *p; | |
2218 | gfn ntop, pton; | |
2219 | } gfn_pyobj; | |
2220 | ||
2221 | static PyTypeObject *gfn_pytype, gfn_pytype_skel; | |
2222 | ||
2223 | #define GFN_P(o) (((gfn_pyobj *)(o))->p) | |
2224 | #define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton) | |
2225 | #define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop) | |
2226 | ||
2227 | static PyObject *gfn_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
2228 | { | |
2229 | mp *p = 0, *beta = 0; | |
2230 | gfn_pyobj *gg = 0; | |
2231 | char *kwlist[] = { "p", "beta", 0 }; | |
2232 | ||
2233 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", kwlist, | |
2234 | convgf, &p, convgf, &beta)) | |
2235 | goto end; | |
2236 | gg = PyObject_New(gfn_pyobj, ty); | |
2237 | if (gfn_create(p, beta, &gg->ntop, &gg->pton)) { | |
3aa33042 | 2238 | FREEOBJ(gg); |
d7ab1bab | 2239 | gg = 0; |
2240 | VALERR("can't invert transformation matrix"); | |
2241 | } | |
2242 | gg->p = MP_COPY(p); | |
2243 | end: | |
2244 | mp_drop(p); | |
2245 | mp_drop(beta); | |
2246 | return ((PyObject *)gg); | |
2247 | } | |
2248 | ||
2249 | static PyObject *gfnget_p(PyObject *me, void *hunoz) | |
2250 | { return (gf_pywrap(MP_COPY(GFN_P(me)))); } | |
2251 | ||
2252 | static PyObject *gfnget_beta(PyObject *me, void *hunoz) | |
2253 | { | |
2254 | gfn *n = GFN_NTOP(me); | |
2255 | mp *x = n->r[n->n - 1]; | |
2256 | return (gf_pywrap(MP_COPY(x))); | |
2257 | } | |
2258 | ||
2259 | #define XFORMOP(name, NAME) \ | |
2260 | static PyObject *gfnmeth_##name(PyObject *me, PyObject *arg) \ | |
2261 | { \ | |
2262 | mp *xx = 0; \ | |
2263 | mp *z = 0; \ | |
2264 | \ | |
2265 | if (!PyArg_ParseTuple(arg, "O&:" #name, convgf, &xx)) goto end; \ | |
2266 | z = gfn_transform(GFN_##NAME(me), MP_NEW, xx); \ | |
2267 | end: \ | |
2268 | mp_drop(xx); \ | |
2269 | if (!z) return (0); \ | |
2270 | return (mp_pywrap(z)); \ | |
2271 | } | |
2272 | XFORMOP(pton, PTON) | |
2273 | XFORMOP(ntop, NTOP) | |
2274 | #undef XFORMOP | |
2275 | ||
2276 | static void gfn_pydealloc(PyObject *me) | |
2277 | { | |
2278 | gfn_destroy(GFN_PTON(me)); | |
2279 | gfn_destroy(GFN_NTOP(me)); | |
3aa33042 | 2280 | FREEOBJ(me); |
d7ab1bab | 2281 | } |
2282 | ||
2283 | static PyGetSetDef gfn_pygetset[] = { | |
2284 | #define GETSETNAME(op, name) gfn##op##_##name | |
2285 | GET (p, "X.p -> polynomial basis, as polynomial") | |
2286 | GET (beta, "X.beta -> normal basis element, in poly form") | |
2287 | #undef GETSETNAME | |
2288 | { 0 } | |
2289 | }; | |
2290 | ||
2291 | static PyMethodDef gfn_pymethods[] = { | |
2292 | #define METHNAME(name) gfnmeth_##name | |
2293 | METH (pton, "X.pton(A) -> normal-basis representation of A") | |
2294 | METH (ntop, "X.ntop(A) -> polynomial-basis representation of A") | |
2295 | #undef METHNAME | |
2296 | { 0 } | |
2297 | }; | |
2298 | ||
2299 | static PyTypeObject gfn_pytype_skel = { | |
6d4db0bf | 2300 | PyObject_HEAD_INIT(0) 0, /* Header */ |
d7ab1bab | 2301 | "catacomb.GFN", /* @tp_name@ */ |
2302 | sizeof(gfn_pyobj), /* @tp_basicsize@ */ | |
2303 | 0, /* @tp_itemsize@ */ | |
2304 | ||
2305 | gfn_pydealloc, /* @tp_dealloc@ */ | |
2306 | 0, /* @tp_print@ */ | |
2307 | 0, /* @tp_getattr@ */ | |
2308 | 0, /* @tp_setattr@ */ | |
2309 | 0, /* @tp_compare@ */ | |
2310 | 0, /* @tp_repr@ */ | |
2311 | 0, /* @tp_as_number@ */ | |
2312 | 0, /* @tp_as_sequence@ */ | |
2313 | 0, /* @tp_as_mapping@ */ | |
2314 | 0, /* @tp_hash@ */ | |
2315 | 0, /* @tp_call@ */ | |
2316 | 0, /* @tp_str@ */ | |
2317 | 0, /* @tp_getattro@ */ | |
2318 | 0, /* @tp_setattro@ */ | |
2319 | 0, /* @tp_as_buffer@ */ | |
2320 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2321 | Py_TPFLAGS_BASETYPE, | |
2322 | ||
2323 | /* @tp_doc@ */ | |
2324 | "An object for transforming elements of binary fields between polynomial\n\ | |
2325 | and normal basis representations.", | |
2326 | ||
2327 | 0, /* @tp_traverse@ */ | |
2328 | 0, /* @tp_clear@ */ | |
2329 | 0, /* @tp_richcompare@ */ | |
2330 | 0, /* @tp_weaklistoffset@ */ | |
2331 | 0, /* @tp_iter@ */ | |
963a6148 | 2332 | 0, /* @tp_iternext@ */ |
d7ab1bab | 2333 | gfn_pymethods, /* @tp_methods@ */ |
2334 | 0, /* @tp_members@ */ | |
2335 | gfn_pygetset, /* @tp_getset@ */ | |
2336 | 0, /* @tp_base@ */ | |
2337 | 0, /* @tp_dict@ */ | |
2338 | 0, /* @tp_descr_get@ */ | |
2339 | 0, /* @tp_descr_set@ */ | |
2340 | 0, /* @tp_dictoffset@ */ | |
2341 | 0, /* @tp_init@ */ | |
2342 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2343 | gfn_pynew, /* @tp_new@ */ | |
3aa33042 | 2344 | 0, /* @tp_free@ */ |
d7ab1bab | 2345 | 0 /* @tp_is_gc@ */ |
2346 | }; | |
2347 | ||
2348 | /*----- Glue --------------------------------------------------------------*/ | |
2349 | ||
2350 | static PyMethodDef methods[] = { | |
2351 | #define METHNAME(func) meth_##func | |
2352 | KWMETH(_MP_fromstring, "\ | |
2353 | fromstring(STR, radix = 0) -> (X, REST)\n\ | |
2354 | \n\ | |
2355 | Parse STR as a large integer, according to radix. If radix is zero,\n\ | |
2356 | read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\ | |
2357 | or `R_' for other radix R.") | |
2358 | KWMETH(_GF_fromstring, "\ | |
2359 | fromstring(STR, radix = 0) -> (X, REST)\n\ | |
2360 | \n\ | |
2361 | Parse STR as a binary polynomial, according to radix. If radix is zero,\n\ | |
2362 | read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\ | |
2363 | or `R_' for other radix R.") | |
2364 | METH (_MP_loadl, "\ | |
2365 | loadl(STR) -> X: read little-endian bytes") | |
2366 | METH (_MP_loadb, "\ | |
2367 | loadb(STR) -> X: read big-endian bytes") | |
2368 | METH (_MP_loadl2c, "\ | |
2369 | loadl2c(STR) -> X: read little-endian bytes, two's complement") | |
2370 | METH (_MP_loadb2c, "\ | |
2371 | loadb2c(STR) -> X: read big-endian bytes, two's complement") | |
2372 | METH (_MP_frombuf, "\ | |
2373 | frombuf(STR) -> (X, REST): read buffer format") | |
d7ab1bab | 2374 | METH (_GF_loadl, "\ |
2375 | loadl(STR) -> X: read little-endian bytes") | |
2376 | METH (_GF_loadb, "\ | |
2377 | loadb(STR) -> X: read big-endian bytes") | |
2378 | METH (_GF_frombuf, "\ | |
2379 | frombuf(STR) -> (X, REST): read buffer format") | |
2380 | #undef METHNAME | |
2381 | { 0 } | |
2382 | }; | |
2383 | ||
2384 | void mp_pyinit(void) | |
2385 | { | |
2386 | INITTYPE(mp, root); | |
2387 | INITTYPE(gf, root); | |
32507e35 | 2388 | INITTYPE(mpmul, root); |
d7ab1bab | 2389 | INITTYPE(mpmont, root); |
2390 | INITTYPE(mpbarrett, root); | |
2391 | INITTYPE(mpreduce, root); | |
2392 | INITTYPE(mpcrt, root); | |
2393 | INITTYPE(gfreduce, root); | |
2394 | INITTYPE(gfn, root); | |
2395 | addmethods(methods); | |
2396 | } | |
2397 | ||
2398 | void mp_pyinsert(PyObject *mod) | |
2399 | { | |
2400 | INSERT("MP", mp_pytype); | |
32507e35 | 2401 | INSERT("MPMul", mpmul_pytype); |
d7ab1bab | 2402 | INSERT("MPMont", mpmont_pytype); |
2403 | INSERT("MPBarrett", mpbarrett_pytype); | |
2404 | INSERT("MPReduce", mpreduce_pytype); | |
2405 | INSERT("MPCRT", mpcrt_pytype); | |
2406 | INSERT("GF", gf_pytype); | |
2407 | INSERT("GFReduce", gfreduce_pytype); | |
2408 | INSERT("GFN", gfn_pytype); | |
2409 | } | |
2410 | ||
2411 | /*----- That's all, folks -------------------------------------------------*/ |