Commit | Line | Data |
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d7ab1bab | 1 | /* -*-c-*- |
d7ab1bab | 2 | * |
3 | * Multiprecision arithmetic | |
4 | * | |
5 | * (c) 2004 Straylight/Edgeware | |
6 | */ | |
7 | ||
b2687a0a | 8 | /*----- Licensing notice --------------------------------------------------* |
d7ab1bab | 9 | * |
10 | * This file is part of the Python interface to Catacomb. | |
11 | * | |
12 | * Catacomb/Python is free software; you can redistribute it and/or modify | |
13 | * it under the terms of the GNU General Public License as published by | |
14 | * the Free Software Foundation; either version 2 of the License, or | |
15 | * (at your option) any later version. | |
b2687a0a | 16 | * |
d7ab1bab | 17 | * Catacomb/Python is distributed in the hope that it will be useful, |
18 | * but WITHOUT ANY WARRANTY; without even the implied warranty of | |
19 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
20 | * GNU General Public License for more details. | |
b2687a0a | 21 | * |
d7ab1bab | 22 | * You should have received a copy of the GNU General Public License |
23 | * along with Catacomb/Python; if not, write to the Free Software Foundation, | |
24 | * Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. | |
25 | */ | |
26 | ||
27 | /*----- Header files ------------------------------------------------------*/ | |
28 | ||
29 | #include "catacomb-python.h" | |
30 | ||
31 | /*----- General utilities -------------------------------------------------*/ | |
32 | ||
33 | PyTypeObject *mp_pytype = 0; | |
34 | PyTypeObject *gf_pytype = 0; | |
35 | ||
f368b46e | 36 | mp *mp_frompylong(PyObject *obj) |
d7ab1bab | 37 | { |
38 | unsigned long bits; | |
f368b46e | 39 | PyLongObject *l = (PyLongObject *)obj; |
d7ab1bab | 40 | int sz; |
41 | size_t w; | |
42 | mpd r = 0; | |
43 | int b = 0; | |
44 | int i; | |
45 | mp *x; | |
46 | mpw *p; | |
47 | ||
48 | sz = l->ob_size; | |
49 | if (sz < 0) sz = -sz; | |
50 | assert(MPW_BITS >= SHIFT); | |
51 | bits = (unsigned long)sz * SHIFT; | |
52 | w = (bits + MPW_BITS - 1)/MPW_BITS; | |
53 | x = mp_new(w, l->ob_size < 0 ? MP_NEG : 0); | |
54 | p = x->v; | |
55 | for (i = 0; i < sz; i++) { | |
56 | r |= (mpd)l->ob_digit[i] << b; | |
57 | b += SHIFT; | |
58 | while (b >= MPW_BITS) { | |
59 | *p++ = MPW(r); | |
60 | r >>= MPW_BITS; | |
61 | b -= MPW_BITS; | |
62 | } | |
63 | } | |
64 | while (r) { | |
65 | *p++ = MPW(r); | |
66 | r >>= MPW_BITS; | |
67 | } | |
68 | x->vl = p; | |
69 | MP_SHRINK(x); | |
70 | return (x); | |
71 | } | |
72 | ||
f368b46e | 73 | PyObject *mp_topylong(mp *x) |
d7ab1bab | 74 | { |
75 | unsigned long bits = mp_bits(x); | |
76 | int sz = (bits + SHIFT - 1)/SHIFT; | |
77 | PyLongObject *l = _PyLong_New(sz); | |
78 | mpd r = 0; | |
79 | int b = 0; | |
80 | mpw *p = x->v; | |
81 | int i = 0; | |
82 | ||
83 | assert(MPW_BITS >= SHIFT); | |
84 | while (i < sz && p < x->vl) { | |
f368b46e | 85 | r |= (mpd)*p++ << b; |
d7ab1bab | 86 | b += MPW_BITS; |
87 | while (i < sz && b >= SHIFT) { | |
88 | l->ob_digit[i++] = r & MASK; | |
89 | r >>= SHIFT; | |
90 | b -= SHIFT; | |
91 | } | |
92 | } | |
93 | while (i < sz && r) { | |
94 | l->ob_digit[i++] = r & MASK; | |
95 | r >>= SHIFT; | |
96 | } | |
97 | l->ob_size = (x->f & MP_NEG) ? -sz : sz; | |
f368b46e | 98 | return ((PyObject *)l); |
d7ab1bab | 99 | } |
100 | ||
101 | mp *mp_frompyobject(PyObject *o, int radix) | |
102 | { | |
103 | mp *x; | |
104 | ||
d7ab1bab | 105 | if (PyString_Check(o)) { |
106 | mptext_stringctx sc; | |
107 | mp *x; | |
108 | sc.buf = PyString_AS_STRING(o); | |
109 | sc.lim = sc.buf + PyString_GET_SIZE(o); | |
110 | x = mp_read(MP_NEW, radix, &mptext_stringops, &sc); | |
111 | if (!x) return (0); | |
112 | if (sc.buf < sc.lim) { MP_DROP(x); return (0); } | |
113 | return (x); | |
114 | } | |
f368b46e MW |
115 | if ((x = tomp(o)) != 0) |
116 | return (x); | |
d7ab1bab | 117 | return (0); |
118 | } | |
119 | ||
120 | PyObject *mp_topystring(mp *x, int radix, const char *xpre, | |
121 | const char *pre, const char *post) | |
122 | { | |
123 | int len = mptext_len(x, radix) + 1; | |
124 | mptext_stringctx sc; | |
125 | PyObject *o; | |
126 | size_t xprelen = xpre ? strlen(xpre) : 0; | |
127 | size_t prelen = pre ? strlen(pre) : 0; | |
128 | size_t postlen = post ? strlen(post) : 0; | |
129 | char *p; | |
130 | MP_COPY(x); | |
131 | o = PyString_FromStringAndSize(0, len + 1 + xprelen + prelen + postlen); | |
132 | p = PyString_AS_STRING(o); | |
133 | sc.buf = p; | |
134 | if (xpre) { memcpy(sc.buf, xpre, xprelen); sc.buf += xprelen; } | |
135 | if (MP_NEGP(x)) { *sc.buf++ = '-'; x = mp_neg(x, x); } | |
136 | if (pre) { memcpy(sc.buf, pre, prelen); sc.buf += prelen; } | |
137 | sc.lim = sc.buf + len; | |
138 | mp_write(x, radix, &mptext_stringops, &sc); | |
139 | if (post) { memcpy(sc.buf, post, postlen); sc.buf += postlen; } | |
140 | MP_DROP(x); | |
141 | _PyString_Resize(&o, sc.buf - p); | |
142 | return (o); | |
143 | } | |
144 | ||
f368b46e MW |
145 | static int good_radix_p(int r, int readp) |
146 | { | |
147 | return ((r >= -255 && r <= -2) || | |
148 | (readp && r == 0) || | |
149 | (r >= 2 && r <= 62)); | |
150 | } | |
151 | ||
d7ab1bab | 152 | PyObject *mp_pywrap(mp *x) |
153 | { | |
154 | mp_pyobj *z = PyObject_New(mp_pyobj, mp_pytype); | |
155 | z->x = x; | |
156 | return ((PyObject *)z); | |
157 | } | |
158 | ||
159 | PyObject *gf_pywrap(mp *x) | |
160 | { | |
161 | mp_pyobj *z = PyObject_New(mp_pyobj, gf_pytype); | |
162 | z->x = x; | |
163 | return ((PyObject *)z); | |
164 | } | |
165 | ||
bc243788 | 166 | int mp_tolong_checked(mp *x, long *l, int must) |
d7ab1bab | 167 | { |
168 | static mp *longmin = 0, *longmax = 0; | |
169 | int rc = -1; | |
170 | ||
171 | if (!longmax) { | |
172 | longmin = mp_fromlong(MP_NEW, LONG_MIN); | |
173 | longmax = mp_fromlong(MP_NEW, LONG_MAX); | |
174 | } | |
bc243788 MW |
175 | if (MP_CMP(x, <, longmin) || MP_CMP(x, >, longmax)) { |
176 | if (must) VALERR("mp out of range for int"); | |
177 | else goto end; | |
178 | } | |
d7ab1bab | 179 | *l = mp_tolong(x); |
180 | rc = 0; | |
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; | |
46c13d77 | 214 | if (EC_ATINF(ECPT_P(o))) return (0); |
d7ab1bab | 215 | getecptout(&p, o); |
216 | x = MP_COPY(p.x); | |
217 | EC_DESTROY(&p); | |
218 | return (x); | |
219 | } else if (GE_PYCHECK(o)) { | |
220 | if ((x = G_TOINT(GE_G(o), MP_NEW, GE_X(o))) == 0) | |
221 | return (0); | |
222 | return (x); | |
223 | } else if (PyInt_Check(o)) | |
224 | return (mp_fromlong(MP_NEW, PyInt_AS_LONG(o))); | |
225 | else if ((l = PyNumber_Long(o)) != 0) { | |
f368b46e | 226 | x = mp_frompylong(l); |
d7ab1bab | 227 | Py_DECREF(l); |
228 | return (x); | |
229 | } else { | |
230 | PyErr_Clear(); | |
231 | return (0); | |
232 | } | |
233 | } | |
234 | ||
235 | mp *getmp(PyObject *o) | |
236 | { | |
237 | mp *x = 0; | |
238 | if (!o) return (0); | |
239 | if ((x = tomp(o)) == 0) { | |
240 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp", | |
241 | o->ob_type->tp_name); | |
242 | } | |
243 | return (x); | |
244 | } | |
245 | ||
246 | int convmp(PyObject *o, void *p) | |
247 | { | |
248 | mp *x; | |
249 | if ((x = getmp(o)) == 0) return (0); | |
250 | *(mp **)p = x; | |
251 | return (1); | |
252 | } | |
253 | ||
254 | mp *getgf(PyObject *o) | |
255 | { | |
256 | mp *x = 0; | |
257 | if (!o) return (0); | |
258 | if ((x = tomp(o)) == 0) { | |
259 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf", | |
260 | o->ob_type->tp_name); | |
261 | } | |
262 | return (x); | |
263 | } | |
264 | ||
265 | int convgf(PyObject *o, void *p) | |
266 | { | |
267 | mp *x; | |
268 | if ((x = getgf(o)) == 0) return (0); | |
269 | *(mp **)p = x; | |
270 | return (1); | |
271 | } | |
272 | ||
bf8910bd MW |
273 | static mp *implicitmp(PyObject *o) |
274 | { | |
275 | if (!o || | |
276 | GF_PYCHECK(o) || | |
277 | ECPT_PYCHECK(o) || | |
278 | FE_PYCHECK(o) || | |
279 | GE_PYCHECK(o)) | |
280 | return (0); | |
281 | return (tomp(o)); | |
282 | } | |
283 | ||
284 | static mp *implicitgf(PyObject *o) | |
285 | { | |
286 | if (!o || | |
287 | MP_PYCHECK(o) || | |
288 | ECPT_PYCHECK(o) || | |
289 | FE_PYCHECK(o) || | |
290 | GE_PYCHECK(o)) | |
291 | return (0); | |
292 | return (tomp(o)); | |
293 | } | |
294 | ||
d7ab1bab | 295 | static int mpbinop(PyObject *x, PyObject *y, mp **xx, mp **yy) |
296 | { | |
bf8910bd MW |
297 | if ((*xx = implicitmp(x)) == 0) |
298 | return (-1); | |
299 | if ((*yy = implicitmp(y)) == 0) { | |
300 | MP_DROP(*xx); | |
301 | return (-1); | |
302 | } | |
303 | return (0); | |
304 | } | |
305 | ||
306 | static int gfbinop(PyObject *x, PyObject *y, mp **xx, mp **yy) | |
307 | { | |
308 | if ((*xx = implicitgf(x)) == 0) | |
d7ab1bab | 309 | return (-1); |
bf8910bd | 310 | if ((*yy = implicitgf(y)) == 0) { |
d7ab1bab | 311 | MP_DROP(*xx); |
312 | return (-1); | |
313 | } | |
314 | return (0); | |
315 | } | |
316 | ||
317 | #define gf_and mp_and | |
318 | #define gf_or mp_or | |
319 | #define gf_xor mp_xor | |
320 | #define BINOP(pre, name) \ | |
321 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ | |
322 | mp *xx, *yy, *zz; \ | |
bf8910bd | 323 | if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ |
d7ab1bab | 324 | zz = pre##_##name(MP_NEW, xx, yy); \ |
325 | MP_DROP(xx); MP_DROP(yy); \ | |
326 | return (pre##_pywrap(zz)); \ | |
327 | } | |
328 | BINOP(mp, add) | |
329 | BINOP(mp, sub) | |
330 | BINOP(mp, mul) | |
331 | BINOP(mp, and2c) | |
332 | BINOP(mp, or2c) | |
333 | BINOP(mp, xor2c) | |
334 | BINOP(gf, add) | |
335 | BINOP(gf, sub) | |
336 | BINOP(gf, mul) | |
337 | BINOP(gf, and) | |
338 | BINOP(gf, or) | |
339 | BINOP(gf, xor) | |
340 | #undef BINOP | |
341 | ||
342 | static mp *mp_abs(mp *d, mp *x) | |
343 | { | |
344 | if (MP_NEGP(x)) | |
345 | return (mp_neg(d, x)); | |
346 | MP_COPY(x); | |
347 | if (d) MP_DROP(d); | |
348 | return (x); | |
349 | } | |
350 | ||
351 | #define UNOP(pre, name) \ | |
352 | static PyObject *pre##_py##name(PyObject *x) \ | |
353 | { return mp_pywrap(pre##_##name(MP_NEW, MP_X(x))); } | |
354 | UNOP(mp, neg) | |
355 | UNOP(mp, abs) | |
356 | UNOP(mp, not2c) | |
357 | #undef UNOP | |
358 | ||
359 | static PyObject *mp_pyid(PyObject *x) { RETURN_OBJ(x); } | |
360 | ||
361 | #define gf_lsr mp_lsr | |
362 | #define SHIFTOP(pre, name, rname) \ | |
363 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ | |
364 | mp *xx, *yy; \ | |
365 | PyObject *z = 0; \ | |
366 | long n; \ | |
bf8910bd | 367 | if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ |
bc243788 | 368 | if (mp_tolong_checked(yy, &n, 1)) goto end; \ |
d7ab1bab | 369 | if (n < 0) \ |
370 | z = pre##_pywrap(mp_##rname(MP_NEW, xx, -n)); \ | |
371 | else \ | |
372 | z = pre##_pywrap(mp_##name(MP_NEW, xx, n)); \ | |
373 | end: \ | |
374 | MP_DROP(xx); MP_DROP(yy); \ | |
375 | return (z); \ | |
376 | } | |
377 | SHIFTOP(mp, lsl2c, lsr2c) | |
378 | SHIFTOP(mp, lsr2c, lsl2c) | |
379 | SHIFTOP(gf, lsl, lsr) | |
380 | SHIFTOP(gf, lsr, lsl) | |
381 | #undef SHIFTOP | |
382 | ||
383 | #define DIVOP(pre, name, qq, rr, gather) \ | |
384 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ | |
385 | mp *xx, *yy; \ | |
386 | PyObject *z = 0; \ | |
387 | INIT_##qq(q) INIT_##rr(r) \ | |
bf8910bd | 388 | if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ |
d7ab1bab | 389 | if (MP_ZEROP(yy)) \ |
390 | ZDIVERR("division by zero"); \ | |
391 | pre##_div(ARG_##qq(q), ARG_##rr(r), xx, yy); \ | |
392 | z = gather; \ | |
393 | end: \ | |
394 | MP_DROP(xx); MP_DROP(yy); \ | |
395 | return (z); \ | |
396 | } | |
397 | #define INIT_YES(p) mp *p = MP_NEW; | |
398 | #define INIT_NO(p) | |
399 | #define ARG_YES(p) &p | |
400 | #define ARG_NO(p) 0 | |
401 | DIVOP(mp, divmod, YES, YES, | |
402 | Py_BuildValue("(NN)", mp_pywrap(q), mp_pywrap(r))) | |
403 | DIVOP(mp, div, YES, NO, mp_pywrap(q)) | |
404 | DIVOP(mp, mod, NO, YES, mp_pywrap(r)) | |
405 | DIVOP(gf, divmod, YES, YES, | |
406 | Py_BuildValue("(NN)", gf_pywrap(q), gf_pywrap(r))) | |
407 | DIVOP(gf, div, YES, NO, gf_pywrap(q)) | |
408 | DIVOP(gf, mod, NO, YES, gf_pywrap(r)) | |
409 | #undef INIT_YES | |
410 | #undef INIT_NO | |
411 | #undef ARG_YES | |
412 | #undef ARG_NO | |
413 | #undef DIVOP | |
414 | ||
415 | static mp *mp_modinv_checked(mp *d, mp *x, mp *p) | |
416 | { | |
417 | mp *g = MP_NEW; | |
418 | mp_gcd(&g, 0, &d, p, x); | |
419 | if (!MP_EQ(g, MP_ONE)) { | |
420 | MP_DROP(g); MP_DROP(d); | |
421 | PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse"); | |
422 | return (0); | |
423 | } | |
424 | MP_DROP(g); return (d); | |
425 | } | |
426 | ||
427 | static PyObject *mp_pyexp(PyObject *x, PyObject *y, PyObject *z) | |
428 | { | |
429 | mp *xx = 0, *yy = 0, *zz = 0; | |
430 | mp *r = 0; | |
431 | PyObject *rc = 0; | |
432 | ||
bf8910bd | 433 | if ((xx = implicitmp(x)) == 0 || (yy = implicitmp(y)) == 0 || |
d7ab1bab | 434 | (z && z != Py_None && (zz = tomp(z)) == 0)) { |
435 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
436 | RETURN_NOTIMPL; | |
437 | } | |
438 | if (!z || z == Py_None) { | |
439 | if (MP_NEGP(yy)) VALERR("negative exponent"); | |
440 | r = mp_exp(MP_NEW, xx, yy); | |
441 | } else { | |
442 | if (!MP_POSP(zz)) VALERR("modulus must be positive"); | |
443 | if (MP_NEGP(yy)) { | |
444 | if ((xx = mp_modinv_checked(xx, xx, zz)) == 0) goto end; | |
445 | yy = mp_neg(yy, yy); | |
446 | } | |
447 | if (MP_ODDP(zz)) { | |
448 | mpmont mm; | |
449 | mpmont_create(&mm, zz); | |
450 | r = mpmont_exp(&mm, MP_NEW, xx, yy); | |
451 | mpmont_destroy(&mm); | |
452 | } else { | |
453 | mpbarrett mb; | |
454 | mpbarrett_create(&mb, zz); | |
455 | r = mpbarrett_exp(&mb, MP_NEW, xx, yy); | |
456 | mpbarrett_destroy(&mb); | |
457 | } | |
458 | } | |
459 | rc = mp_pywrap(r); | |
460 | end: | |
461 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
462 | return (rc); | |
463 | } | |
464 | ||
465 | static mp *gf_modinv_checked(mp *d, mp *x, mp *p) | |
466 | { | |
467 | mp *g = MP_NEW; | |
468 | gf_gcd(&g, 0, &d, p, x); | |
469 | if (!MP_EQ(g, MP_ONE)) { | |
470 | MP_DROP(g); MP_DROP(d); | |
471 | PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse"); | |
472 | return (0); | |
473 | } | |
474 | MP_DROP(g); return (d); | |
475 | } | |
476 | ||
477 | #define BASEOP(name, radix, pre) \ | |
478 | static PyObject *mp_py##name(PyObject *x) \ | |
479 | { return mp_topystring(MP_X(x), radix, 0, pre, 0); } | |
480 | BASEOP(oct, 8, "0"); | |
481 | BASEOP(hex, 16, "0x"); | |
482 | #undef BASEOP | |
483 | ||
484 | static int mp_pynonzerop(PyObject *x) { return !MP_ZEROP(MP_X(x)); } | |
485 | ||
486 | static PyObject *mp_pyint(PyObject *x) | |
487 | { | |
488 | long l; | |
bc243788 MW |
489 | if (!mp_tolong_checked(MP_X(x), &l, 0)) return (PyInt_FromLong(l)); |
490 | else return mp_topylong(MP_X(x)); | |
d7ab1bab | 491 | } |
492 | static PyObject *mp_pylong(PyObject *x) | |
f368b46e | 493 | { return (mp_topylong(MP_X(x))); } |
d7ab1bab | 494 | static PyObject *mp_pyfloat(PyObject *x) |
495 | { | |
f368b46e | 496 | PyObject *l = mp_topylong(MP_X(x)); |
d7ab1bab | 497 | double f = PyLong_AsDouble(l); |
498 | Py_DECREF(l); | |
499 | return (PyFloat_FromDouble(f)); | |
500 | } | |
501 | ||
b2687a0a | 502 | #define COERCE(pre, PRE) \ |
d7ab1bab | 503 | static int pre##_pycoerce(PyObject **x, PyObject **y) \ |
504 | { \ | |
505 | mp *z; \ | |
506 | \ | |
507 | if (PRE##_PYCHECK(*y)) { \ | |
508 | Py_INCREF(*x); Py_INCREF(*y); \ | |
509 | return (0); \ | |
510 | } \ | |
511 | if ((z = tomp(*y)) != 0) { \ | |
512 | Py_INCREF(*x); \ | |
513 | *y = pre##_pywrap(z); \ | |
514 | return (0); \ | |
515 | } \ | |
516 | return (1); \ | |
517 | } | |
518 | COERCE(mp, MP) | |
519 | COERCE(gf, GF) | |
520 | #undef COERCE | |
521 | ||
522 | static int mp_pycompare(PyObject *x, PyObject *y) | |
523 | { return mp_cmp(MP_X(x), MP_X(y)); } | |
524 | ||
525 | static PyObject *mp_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
526 | { | |
527 | PyObject *x; | |
528 | mp *z; | |
529 | mp_pyobj *zz = 0; | |
530 | int radix = 0; | |
827f89d7 | 531 | static const char *const kwlist[] = { "x", "radix", 0 }; |
d7ab1bab | 532 | |
827f89d7 | 533 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:new", KWLIST, &x, &radix)) |
d7ab1bab | 534 | goto end; |
535 | if (MP_PYCHECK(x)) RETURN_OBJ(x); | |
f368b46e | 536 | if (!good_radix_p(radix, 1)) VALERR("bad radix"); |
d7ab1bab | 537 | if ((z = mp_frompyobject(x, radix)) == 0) { |
538 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp", | |
539 | x->ob_type->tp_name); | |
540 | goto end; | |
541 | } | |
542 | zz = (mp_pyobj *)ty->tp_alloc(ty, 0); | |
543 | zz->x = z; | |
544 | end: | |
545 | return ((PyObject *)zz); | |
546 | } | |
547 | ||
be6df1c3 | 548 | long mphash(mp *x) |
d7ab1bab | 549 | { |
be6df1c3 MW |
550 | PyObject *l = mp_topylong(x); |
551 | long h = PyObject_Hash(l); | |
f368b46e | 552 | Py_DECREF(l); return (h); |
d7ab1bab | 553 | } |
554 | ||
be6df1c3 MW |
555 | static long mp_pyhash(PyObject *me) { return (mphash(MP_X(me))); } |
556 | ||
d7ab1bab | 557 | static PyObject *mpmeth_jacobi(PyObject *me, PyObject *arg) |
558 | { | |
559 | mp *y = 0; | |
560 | PyObject *z = 0; | |
561 | ||
562 | if (!PyArg_ParseTuple(arg, "O&:jacobi", convmp, &y)) goto end; | |
563 | z = PyInt_FromLong(mp_jacobi(y, MP_X(me))); | |
564 | end: | |
565 | if (y) MP_DROP(y); | |
566 | return (z); | |
567 | } | |
568 | ||
569 | #define BITOP(pre, name, c) \ | |
570 | static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \ | |
571 | { \ | |
a1be89ad MW |
572 | unsigned long i; \ |
573 | if (!PyArg_ParseTuple(arg, "O&:" #name, convulong, &i)) return (0); \ | |
d7ab1bab | 574 | return (pre##_pywrap(mp_##name##c(MP_NEW, MP_X(me), i))); \ |
575 | } | |
576 | BITOP(mp, setbit, 2c); | |
577 | BITOP(mp, clearbit, 2c); | |
b2687a0a | 578 | BITOP(gf, setbit, ); |
d7ab1bab | 579 | BITOP(gf, clearbit, ); |
580 | #undef BITOP | |
581 | ||
582 | static PyObject *mpmeth_testbit(PyObject *me, PyObject *arg) | |
583 | { | |
a1be89ad MW |
584 | unsigned long i; |
585 | if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0); | |
d7ab1bab | 586 | return (getbool(mp_testbit2c(MP_X(me), i))); |
587 | } | |
588 | ||
589 | static PyObject *gfmeth_testbit(PyObject *me, PyObject *arg) | |
590 | { | |
a1be89ad MW |
591 | unsigned long i; |
592 | if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0); | |
d7ab1bab | 593 | return (getbool(mp_testbit(MP_X(me), i))); |
594 | } | |
595 | ||
596 | static PyObject *mpmeth_odd(PyObject *me, PyObject *arg) | |
597 | { | |
598 | mp *t; | |
599 | size_t s; | |
600 | ||
601 | if (!PyArg_ParseTuple(arg, ":odd")) return (0); | |
602 | t = mp_odd(MP_NEW, MP_X(me), &s); | |
603 | return (Py_BuildValue("(lN)", (long)s, mp_pywrap(t))); | |
604 | } | |
605 | ||
606 | static PyObject *mpmeth_sqr(PyObject *me, PyObject *arg) | |
607 | { | |
608 | if (!PyArg_ParseTuple(arg, ":sqr")) return (0); | |
609 | return (mp_pywrap(mp_sqr(MP_NEW, MP_X(me)))); | |
610 | } | |
611 | ||
612 | static PyObject *mpmeth_sqrt(PyObject *me, PyObject *arg) | |
613 | { | |
614 | if (!PyArg_ParseTuple(arg, ":sqrt")) return (0); | |
615 | if (MP_NEGP(MP_X(me))) VALERR("negative root"); | |
616 | return (mp_pywrap(mp_sqrt(MP_NEW, MP_X(me)))); | |
617 | end: | |
618 | return (0); | |
619 | } | |
620 | ||
621 | static PyObject *mpmeth_gcd(PyObject *me, PyObject *arg) | |
622 | { | |
623 | mp *y = 0, *zz = MP_NEW; | |
624 | PyObject *z = 0; | |
625 | ||
626 | if (!PyArg_ParseTuple(arg, "O&:gcd", convmp, &y)) goto end; | |
627 | mp_gcd(&zz, 0, 0, MP_X(me), y); | |
628 | z = mp_pywrap(zz); | |
629 | end: | |
630 | if (y) MP_DROP(y); | |
631 | return (z); | |
632 | } | |
633 | ||
634 | static PyObject *mpmeth_gcdx(PyObject *me, PyObject *arg) | |
635 | { | |
636 | PyObject *z = 0; | |
637 | mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW; | |
638 | ||
639 | if (!PyArg_ParseTuple(arg, "O&:gcdx", convmp, &yy)) goto end; | |
640 | mp_gcd(&zz, &uu, &vv, MP_X(me), yy); | |
641 | z = Py_BuildValue("(NNN)", | |
642 | mp_pywrap(zz), mp_pywrap(uu), mp_pywrap(vv)); | |
643 | end: | |
644 | if (yy) MP_DROP(yy); | |
645 | return (z); | |
646 | } | |
647 | ||
648 | static PyObject *mpmeth_modinv(PyObject *me, PyObject *arg) | |
649 | { | |
650 | PyObject *z = 0; | |
651 | mp *yy = 0, *zz = MP_NEW; | |
652 | ||
653 | if (!PyArg_ParseTuple(arg, "O&:modinv", convmp, &yy) || | |
654 | (zz = mp_modinv_checked(MP_NEW, yy, MP_X(me))) == 0) | |
655 | goto end; | |
656 | z = mp_pywrap(zz); | |
657 | end: | |
658 | if (yy) MP_DROP(yy); | |
659 | return (z); | |
660 | } | |
661 | ||
662 | static PyObject *mpmeth_tostring(PyObject *me, PyObject *arg, PyObject *kw) | |
663 | { | |
664 | int radix = 10; | |
827f89d7 MW |
665 | static const char *const kwlist[] = { "radix", 0 }; |
666 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:tostring", KWLIST, &radix)) | |
d7ab1bab | 667 | goto end; |
f368b46e | 668 | if (!good_radix_p(radix, 0)) VALERR("bad radix"); |
d7ab1bab | 669 | return (mp_topystring(MP_X(me), radix, 0, 0, 0)); |
670 | end: | |
671 | return (0); | |
672 | } | |
673 | ||
674 | static PyObject *mpmeth_modsqrt(PyObject *me, PyObject *arg) | |
675 | { | |
676 | PyObject *z = 0; | |
677 | mp *yy = 0, *zz = MP_NEW; | |
678 | ||
679 | if (!PyArg_ParseTuple(arg, "O&:modsqrt", convmp, &yy)) goto end; | |
680 | if ((zz = mp_modsqrt(MP_NEW, yy, MP_X(me))) == 0) | |
681 | VALERR("no modular square root"); | |
682 | z = mp_pywrap(zz); | |
683 | end: | |
684 | if (yy) MP_DROP(yy); | |
685 | return (z); | |
686 | } | |
687 | ||
d0d94587 MW |
688 | static PyObject *mpmeth_leastcongruent(PyObject *me, PyObject *arg) |
689 | { | |
690 | mp *z, *b, *m; | |
691 | PyObject *rc = 0; | |
692 | ||
693 | if (!PyArg_ParseTuple(arg, "O&O&:leastcongruent", convmp, &b, convmp, &m)) | |
694 | goto end; | |
695 | z = mp_leastcongruent(MP_NEW, b, MP_X(me), m); | |
696 | rc = mp_pywrap(z); | |
697 | end: | |
698 | return (rc); | |
699 | } | |
700 | ||
d7ab1bab | 701 | #define STOREOP(name, c) \ |
702 | static PyObject *mpmeth_##name(PyObject *me, \ | |
703 | PyObject *arg, PyObject *kw) \ | |
704 | { \ | |
705 | long len = -1; \ | |
827f89d7 | 706 | static const char *const kwlist[] = { "len", 0 }; \ |
d7ab1bab | 707 | PyObject *rc = 0; \ |
708 | \ | |
709 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|l:" #name, \ | |
827f89d7 | 710 | KWLIST, &len)) \ |
d7ab1bab | 711 | goto end; \ |
712 | if (len < 0) { \ | |
713 | len = mp_octets##c(MP_X(me)); \ | |
714 | if (!len) len = 1; \ | |
715 | } \ | |
716 | rc = bytestring_pywrap(0, len); \ | |
717 | mp_##name(MP_X(me), PyString_AS_STRING(rc), len); \ | |
718 | end: \ | |
719 | return (rc); \ | |
720 | } | |
721 | STOREOP(storel, ) | |
722 | STOREOP(storeb, ) | |
723 | STOREOP(storel2c, 2c) | |
724 | STOREOP(storeb2c, 2c) | |
725 | #undef STOREOP | |
726 | ||
727 | #define BUFOP(ty, pyty) \ | |
728 | static PyObject *meth__##pyty##_frombuf(PyObject *me, PyObject *arg) \ | |
729 | { \ | |
730 | buf b; \ | |
731 | char *p; \ | |
6b54260d | 732 | Py_ssize_t sz; \ |
d7ab1bab | 733 | PyObject *rc = 0; \ |
734 | mp *x; \ | |
735 | \ | |
736 | if (!PyArg_ParseTuple(arg, "Os#:frombuf", &me, &p, &sz)) goto end; \ | |
737 | buf_init(&b, p, sz); \ | |
738 | if ((x = buf_getmp(&b)) == 0) VALERR("malformed data"); \ | |
739 | rc = Py_BuildValue("(NN)", ty##_pywrap(x), \ | |
740 | bytestring_pywrapbuf(&b)); \ | |
741 | end: \ | |
742 | return (rc); \ | |
743 | } | |
744 | BUFOP(mp, MP) | |
745 | BUFOP(gf, GF) | |
746 | #undef BUFOP | |
747 | ||
748 | static PyObject *mpmeth_tobuf(PyObject *me, PyObject *arg) | |
749 | { | |
750 | buf b; | |
751 | PyObject *rc; | |
752 | mp *x; | |
753 | size_t n; | |
754 | ||
755 | if (!PyArg_ParseTuple(arg, ":tobuf")) return (0); | |
756 | x = MP_X(me); | |
757 | n = mp_octets(x) + 3; | |
758 | rc = bytestring_pywrap(0, n); | |
759 | buf_init(&b, PyString_AS_STRING(rc), n); | |
760 | buf_putmp(&b, x); | |
761 | assert(BOK(&b)); | |
762 | _PyString_Resize(&rc, BLEN(&b)); | |
763 | return (rc); | |
764 | } | |
765 | ||
766 | static PyObject *mpmeth_primep(PyObject *me, PyObject *arg, PyObject *kw) | |
767 | { | |
768 | grand *r = &rand_global; | |
827f89d7 | 769 | static const char *const kwlist[] = { "rng", 0 }; |
d7ab1bab | 770 | PyObject *rc = 0; |
771 | ||
827f89d7 | 772 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&", KWLIST, convgrand, &r)) |
d7ab1bab | 773 | goto end; |
774 | rc = getbool(pgen_primep(MP_X(me), r)); | |
775 | end: | |
776 | return (rc); | |
777 | } | |
778 | ||
779 | static PyObject *mpget_nbits(PyObject *me, void *hunoz) | |
780 | { return (PyInt_FromLong(mp_bits(MP_X(me)))); } | |
781 | ||
782 | static PyObject *mpget_noctets(PyObject *me, void *hunoz) | |
783 | { return (PyInt_FromLong(mp_octets(MP_X(me)))); } | |
784 | ||
785 | static PyObject *mpget_noctets2c(PyObject *me, void *hunoz) | |
786 | { return (PyInt_FromLong(mp_octets2c(MP_X(me)))); } | |
787 | ||
788 | static PyGetSetDef mp_pygetset[] = { | |
789 | #define GETSETNAME(op, func) mp##op##_##func | |
790 | GET (nbits, "X.nbits -> bit length of X") | |
791 | GET (noctets, "X.noctets -> octet length of X") | |
792 | GET (noctets2c, "X.noctets2c -> two's complement octet length of X") | |
793 | #undef GETSETNAME | |
794 | { 0 } | |
795 | }; | |
796 | ||
797 | static PyMethodDef mp_pymethods[] = { | |
798 | #define METHNAME(func) mpmeth_##func | |
c3060669 | 799 | METH (jacobi, "X.jacobi(Y) -> Jacobi symbol (Y|X) (NB inversion!)") |
d7ab1bab | 800 | METH (setbit, "X.setbit(N) -> X with bit N set") |
801 | METH (clearbit, "X.clearbit(N) -> X with bit N clear") | |
802 | METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X") | |
803 | METH (odd, "X.odd() -> S, T where X = 2^S T with T odd") | |
804 | METH (sqr, "X.sqr() -> X^2") | |
805 | METH (sqrt, "X.sqrt() -> largest integer <= sqrt(X)") | |
806 | METH (gcd, "X.gcd(Y) -> gcd(X, Y)") | |
807 | METH (gcdx, | |
808 | "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)") | |
809 | METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X") | |
810 | METH (modsqrt, "X.modsqrt(Y) -> square root of Y mod X, if X prime") | |
d0d94587 MW |
811 | METH (leastcongruent, |
812 | "X.leastcongruent(B, M) -> smallest Z >= B with Z == X (mod M)") | |
1df8d5fe MW |
813 | KWMETH(primep, "X.primep([rng = rand]) -> true/false if X is prime") |
814 | KWMETH(tostring, "X.tostring([radix = 10]) -> STR") | |
815 | KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes") | |
816 | KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes") | |
d7ab1bab | 817 | KWMETH(storel2c, |
1df8d5fe | 818 | "X.storel2c([len = -1]) -> little-endian bytes, two's complement") |
d7ab1bab | 819 | KWMETH(storeb2c, |
1df8d5fe | 820 | "X.storeb2c([len = -1]) -> big-endian bytes, two's complement") |
d7ab1bab | 821 | METH (tobuf, "X.tobuf() -> buffer format") |
822 | #undef METHNAME | |
823 | { 0 } | |
824 | }; | |
825 | ||
826 | static PyNumberMethods mp_pynumber = { | |
827 | mp_pyadd, /* @nb_add@ */ | |
828 | mp_pysub, /* @nb_subtract@ */ | |
829 | mp_pymul, /* @nb_multiply@ */ | |
830 | 0, /* @nb_divide@ */ | |
831 | mp_pymod, /* @nb_remainder@ */ | |
832 | mp_pydivmod, /* @nb_divmod@ */ | |
833 | mp_pyexp, /* @nb_power@ */ | |
834 | mp_pyneg, /* @nb_negative@ */ | |
835 | mp_pyid, /* @nb_positive@ */ | |
836 | mp_pyabs, /* @nb_absolute@ */ | |
837 | mp_pynonzerop, /* @nb_nonzero@ */ | |
838 | mp_pynot2c, /* @nb_invert@ */ | |
839 | mp_pylsl2c, /* @nb_lshift@ */ | |
840 | mp_pylsr2c, /* @nb_rshift@ */ | |
841 | mp_pyand2c, /* @nb_and@ */ | |
842 | mp_pyxor2c, /* @nb_xor@ */ | |
843 | mp_pyor2c, /* @nb_or@ */ | |
844 | mp_pycoerce, /* @nb_coerce@ */ | |
845 | mp_pyint, /* @nb_int@ */ | |
846 | mp_pylong, /* @nb_long@ */ | |
847 | mp_pyfloat, /* @nb_float@ */ | |
848 | mp_pyoct, /* @nb_oct@ */ | |
849 | mp_pyhex, /* @nb_hex@ */ | |
850 | ||
851 | 0, /* @nb_inplace_add@ */ | |
852 | 0, /* @nb_inplace_subtract@ */ | |
853 | 0, /* @nb_inplace_multiply@ */ | |
854 | 0, /* @nb_inplace_divide@ */ | |
855 | 0, /* @nb_inplace_remainder@ */ | |
856 | 0, /* @nb_inplace_power@ */ | |
857 | 0, /* @nb_inplace_lshift@ */ | |
858 | 0, /* @nb_inplace_rshift@ */ | |
859 | 0, /* @nb_inplace_and@ */ | |
860 | 0, /* @nb_inplace_xor@ */ | |
861 | 0, /* @nb_inplace_or@ */ | |
862 | ||
863 | mp_pydiv, /* @nb_floor_divide@ */ | |
864 | 0, /* @nb_true_divide@ */ | |
865 | 0, /* @nb_inplace_floor_divide@ */ | |
866 | 0, /* @nb_inplace_true_divide@ */ | |
867 | }; | |
868 | ||
869 | static PyTypeObject mp_pytype_skel = { | |
6d4db0bf | 870 | PyObject_HEAD_INIT(0) 0, /* Header */ |
c461c9b3 | 871 | "MP", /* @tp_name@ */ |
d7ab1bab | 872 | sizeof(mp_pyobj), /* @tp_basicsize@ */ |
873 | 0, /* @tp_itemsize@ */ | |
874 | ||
875 | mp_pydealloc, /* @tp_dealloc@ */ | |
876 | 0, /* @tp_print@ */ | |
877 | 0, /* @tp_getattr@ */ | |
878 | 0, /* @tp_setattr@ */ | |
879 | mp_pycompare, /* @tp_compare@ */ | |
880 | mp_pyrepr, /* @tp_repr@ */ | |
881 | &mp_pynumber, /* @tp_as_number@ */ | |
882 | 0, /* @tp_as_sequence@ */ | |
883 | 0, /* @tp_as_mapping@ */ | |
884 | mp_pyhash, /* @tp_hash@ */ | |
885 | 0, /* @tp_call@ */ | |
886 | mp_pystr, /* @tp_str@ */ | |
887 | 0, /* @tp_getattro@ */ | |
888 | 0, /* @tp_setattro@ */ | |
889 | 0, /* @tp_as_buffer@ */ | |
890 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
891 | Py_TPFLAGS_CHECKTYPES | | |
892 | Py_TPFLAGS_BASETYPE, | |
893 | ||
894 | /* @tp_doc@ */ | |
895 | "Multiprecision integers, similar to `long' but more efficient and\n\ | |
75e81374 MW |
896 | versatile. Support all the standard arithmetic operations, with\n\ |
897 | implicit conversions from `PrimeFilter', and other objects which\n\ | |
898 | convert to `long'.\n\ | |
d7ab1bab | 899 | \n\ |
1df8d5fe | 900 | Constructor MP(X, [radix = R]) attempts to convert X to an `MP'. If\n\ |
d7ab1bab | 901 | X is a string, it's read in radix-R form, or we look for a prefix\n\ |
75e81374 MW |
902 | if R = 0. Other acceptable things are field elements, elliptic curve\n\ |
903 | points, group elements, Python `int' and `long' objects, and anything\n\ | |
904 | with an integer conversion.\n\ | |
d7ab1bab | 905 | \n\ |
906 | Notes:\n\ | |
907 | \n\ | |
06cd26e8 | 908 | * Use `//' for integer division. `/' gives exact rational division.", |
d7ab1bab | 909 | |
910 | 0, /* @tp_traverse@ */ | |
911 | 0, /* @tp_clear@ */ | |
912 | 0, /* @tp_richcompare@ */ | |
913 | 0, /* @tp_weaklistoffset@ */ | |
914 | 0, /* @tp_iter@ */ | |
963a6148 | 915 | 0, /* @tp_iternext@ */ |
d7ab1bab | 916 | mp_pymethods, /* @tp_methods@ */ |
917 | 0, /* @tp_members@ */ | |
918 | mp_pygetset, /* @tp_getset@ */ | |
919 | 0, /* @tp_base@ */ | |
920 | 0, /* @tp_dict@ */ | |
921 | 0, /* @tp_descr_get@ */ | |
922 | 0, /* @tp_descr_set@ */ | |
923 | 0, /* @tp_dictoffset@ */ | |
924 | 0, /* @tp_init@ */ | |
925 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
926 | mp_pynew, /* @tp_new@ */ | |
3aa33042 | 927 | 0, /* @tp_free@ */ |
d7ab1bab | 928 | 0 /* @tp_is_gc@ */ |
929 | }; | |
930 | ||
931 | static PyObject *meth__MP_fromstring(PyObject *me, | |
bf8910bd | 932 | PyObject *arg, PyObject *kw) |
d7ab1bab | 933 | { |
934 | int r = 0; | |
935 | char *p; | |
6b54260d | 936 | Py_ssize_t len; |
d7ab1bab | 937 | PyObject *z = 0; |
938 | mp *zz; | |
939 | mptext_stringctx sc; | |
827f89d7 | 940 | static const char *const kwlist[] = { "class", "x", "radix", 0 }; |
d7ab1bab | 941 | |
942 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring", | |
827f89d7 | 943 | KWLIST, &me, &p, &len, &r)) |
d7ab1bab | 944 | goto end; |
f368b46e | 945 | if (!good_radix_p(r, 1)) VALERR("bad radix"); |
d7ab1bab | 946 | sc.buf = p; sc.lim = p + len; |
947 | if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0) | |
80f7cd89 | 948 | VALERR("bad integer"); |
6b54260d MW |
949 | z = Py_BuildValue("(Ns#)", mp_pywrap(zz), |
950 | sc.buf, (Py_ssize_t)(sc.lim - sc.buf)); | |
d7ab1bab | 951 | end: |
952 | return (z); | |
953 | } | |
954 | ||
9f49c854 MW |
955 | static PyObject *meth__MP_factorial(PyObject *me, PyObject *arg) |
956 | { | |
957 | unsigned long i; | |
958 | mp *x; | |
959 | if (!PyArg_ParseTuple(arg, "OO&:factorial", &me, convulong, &i)) | |
960 | return (0); | |
961 | x = mp_factorial(i); | |
962 | return mp_pywrap(x); | |
963 | } | |
964 | ||
6313f40e MW |
965 | static PyObject *meth__MP_fibonacci(PyObject *me, PyObject *arg) |
966 | { | |
967 | long i; | |
968 | mp *x; | |
969 | if (!PyArg_ParseTuple(arg, "Ol:fibonacci", &me, &i)) return (0); | |
970 | x = mp_fibonacci(i); | |
971 | return mp_pywrap(x); | |
972 | } | |
973 | ||
32507e35 MW |
974 | #define LOADOP(pre, py, name) \ |
975 | static PyObject *meth__##py##_##name(PyObject *me, PyObject *arg) \ | |
976 | { \ | |
977 | char *p; \ | |
6b54260d | 978 | Py_ssize_t len; \ |
32507e35 MW |
979 | if (!PyArg_ParseTuple(arg, "Os#:" #name, &me, &p, &len)) return (0); \ |
980 | return (pre##_pywrap(mp_##name(MP_NEW, p, len))); \ | |
981 | } | |
982 | LOADOP(mp, MP, loadl) | |
983 | LOADOP(mp, MP, loadb) | |
984 | LOADOP(mp, MP, loadl2c) | |
985 | LOADOP(mp, MP, loadb2c) | |
986 | LOADOP(gf, GF, loadl) | |
987 | LOADOP(gf, GF, loadb) | |
988 | #undef LOADOP | |
989 | ||
990 | /*----- Products of small integers ----------------------------------------*/ | |
991 | ||
992 | typedef struct mpmul_pyobj { | |
993 | PyObject_HEAD | |
994 | int livep; | |
995 | mpmul mm; | |
996 | } mpmul_pyobj; | |
997 | ||
998 | #define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep) | |
999 | #define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm) | |
1000 | ||
1001 | static void mpmul_pydealloc(PyObject *me) | |
1002 | { | |
1003 | if (MPMUL_LIVEP(me)) | |
1004 | mp_drop(mpmul_done(MPMUL_PY(me))); | |
1005 | FREEOBJ(me); | |
1006 | } | |
1007 | ||
1008 | static PyObject *mmmeth_factor(PyObject *me, PyObject *arg) | |
d7ab1bab | 1009 | { |
d7ab1bab | 1010 | PyObject *q, *i; |
1011 | mp *x; | |
1012 | ||
32507e35 MW |
1013 | if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid"); |
1014 | if (PyTuple_Size(arg) != 1) | |
d7ab1bab | 1015 | i = PyObject_GetIter(arg); |
32507e35 MW |
1016 | else { |
1017 | if ((q = PyTuple_GetItem(arg, 0)) == 0) goto end; | |
d7ab1bab | 1018 | if ((i = PyObject_GetIter(q)) == 0) { |
1019 | PyErr_Clear(); /* that's ok */ | |
1020 | i = PyObject_GetIter(arg); | |
1021 | } | |
1022 | } | |
32507e35 | 1023 | if (!i) goto end; |
d7ab1bab | 1024 | while ((q = PyIter_Next(i)) != 0) { |
1025 | x = getmp(q); Py_DECREF(q); if (!x) { | |
d7ab1bab | 1026 | Py_DECREF(i); |
32507e35 | 1027 | goto end; |
d7ab1bab | 1028 | } |
32507e35 | 1029 | mpmul_add(MPMUL_PY(me), x); |
d7ab1bab | 1030 | MP_DROP(x); |
1031 | } | |
d7ab1bab | 1032 | Py_DECREF(i); |
32507e35 MW |
1033 | RETURN_ME; |
1034 | end: | |
1035 | return (0); | |
1036 | } | |
1037 | ||
1038 | static PyObject *mmmeth_done(PyObject *me, PyObject *arg) | |
1039 | { | |
1040 | mp *x; | |
1041 | ||
1042 | if (!PyArg_ParseTuple(arg, ":done")) goto end; | |
1043 | if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid"); | |
1044 | x = mpmul_done(MPMUL_PY(me)); | |
1045 | MPMUL_LIVEP(me) = 0; | |
d7ab1bab | 1046 | return (mp_pywrap(x)); |
32507e35 MW |
1047 | end: |
1048 | return (0); | |
d7ab1bab | 1049 | } |
1050 | ||
32507e35 MW |
1051 | static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) |
1052 | { | |
1053 | mpmul_pyobj *mm; | |
1054 | ||
1055 | if (kw) TYERR("keyword arguments not allowed here"); | |
1056 | mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0); | |
1057 | mpmul_init(&mm->mm); | |
1058 | mm->livep = 1; | |
1059 | if (mmmeth_factor((PyObject *)mm, arg) == 0) { | |
1060 | Py_DECREF(mm); | |
1061 | goto end; | |
d7ab1bab | 1062 | } |
32507e35 MW |
1063 | return ((PyObject *)mm); |
1064 | end: | |
1065 | return (0); | |
1066 | } | |
1067 | ||
1068 | static PyObject *mmget_livep(PyObject *me, void *hunoz) | |
1069 | { return (getbool(MPMUL_LIVEP(me))); } | |
1070 | ||
1071 | static PyGetSetDef mpmul_pygetset[] = { | |
1072 | #define GETSETNAME(op, name) mm##op##_##name | |
1073 | GET (livep, "MM.livep -> flag: object still valid?") | |
1074 | #undef GETSETNAME | |
1075 | { 0 } | |
1076 | }; | |
1077 | ||
1078 | static PyMethodDef mpmul_pymethods[] = { | |
1079 | #define METHNAME(name) mmmeth_##name | |
1080 | METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)") | |
1081 | METH (done, "MM.done() -> PRODUCT") | |
1082 | #undef METHNAME | |
1083 | { 0 } | |
1084 | }; | |
1085 | ||
1086 | static PyTypeObject *mpmul_pytype, mpmul_pytype_skel = { | |
1087 | PyObject_HEAD_INIT(0) 0, /* Header */ | |
c461c9b3 | 1088 | "MPMul", /* @tp_name@ */ |
32507e35 MW |
1089 | sizeof(mpmul_pyobj), /* @tp_basicsize@ */ |
1090 | 0, /* @tp_itemsize@ */ | |
1091 | ||
1092 | mpmul_pydealloc, /* @tp_dealloc@ */ | |
1093 | 0, /* @tp_print@ */ | |
1094 | 0, /* @tp_getattr@ */ | |
1095 | 0, /* @tp_setattr@ */ | |
1096 | 0, /* @tp_compare@ */ | |
1097 | 0, /* @tp_repr@ */ | |
1098 | 0, /* @tp_as_number@ */ | |
1099 | 0, /* @tp_as_sequence@ */ | |
1100 | 0, /* @tp_as_mapping@ */ | |
1101 | 0, /* @tp_hash@ */ | |
1102 | 0, /* @tp_call@ */ | |
1103 | 0, /* @tp_str@ */ | |
1104 | 0, /* @tp_getattro@ */ | |
1105 | 0, /* @tp_setattro@ */ | |
1106 | 0, /* @tp_as_buffer@ */ | |
1107 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1108 | Py_TPFLAGS_BASETYPE, | |
1109 | ||
1110 | /* @tp_doc@ */ | |
06cd26e8 | 1111 | "MPMul(N_0, N_1, ....): an object for multiplying many small integers.", |
32507e35 MW |
1112 | |
1113 | 0, /* @tp_traverse@ */ | |
1114 | 0, /* @tp_clear@ */ | |
1115 | 0, /* @tp_richcompare@ */ | |
1116 | 0, /* @tp_weaklistoffset@ */ | |
1117 | 0, /* @tp_iter@ */ | |
1118 | 0, /* @tp_iternext@ */ | |
1119 | mpmul_pymethods, /* @tp_methods@ */ | |
1120 | 0, /* @tp_members@ */ | |
1121 | mpmul_pygetset, /* @tp_getset@ */ | |
1122 | 0, /* @tp_base@ */ | |
1123 | 0, /* @tp_dict@ */ | |
1124 | 0, /* @tp_descr_get@ */ | |
1125 | 0, /* @tp_descr_set@ */ | |
1126 | 0, /* @tp_dictoffset@ */ | |
1127 | 0, /* @tp_init@ */ | |
1128 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1129 | mpmul_pynew, /* @tp_new@ */ | |
1130 | 0, /* @tp_free@ */ | |
1131 | 0 /* @tp_is_gc@ */ | |
1132 | }; | |
d7ab1bab | 1133 | |
1134 | /*----- Montgomery reduction ----------------------------------------------*/ | |
1135 | ||
1136 | typedef struct mpmont_pyobj { | |
1137 | PyObject_HEAD | |
1138 | mpmont mm; | |
1139 | } mpmont_pyobj; | |
1140 | ||
1141 | #define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm) | |
1142 | ||
1143 | static PyObject *mmmeth_int(PyObject *me, PyObject *arg) | |
1144 | { | |
1145 | PyObject *z = 0; | |
1146 | mp *yy = 0; | |
1147 | mpmont *mm = MPMONT_PY(me); | |
1148 | ||
1149 | if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy)) | |
1150 | goto end; | |
1151 | mp_div(0, &yy, yy, mm->m); | |
1152 | z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2)); | |
1153 | end: | |
1154 | if (yy) MP_DROP(yy); | |
1155 | return (z); | |
1156 | } | |
1157 | ||
1158 | static PyObject *mmmeth_mul(PyObject *me, PyObject *arg) | |
1159 | { | |
1160 | PyObject *rc = 0; | |
1161 | mp *yy = 0, *zz = 0; | |
1162 | ||
1163 | if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz)) | |
1164 | goto end; | |
1165 | rc = mp_pywrap(mpmont_mul(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1166 | end: | |
1167 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1168 | return (rc); | |
1169 | } | |
1170 | ||
1171 | static PyObject *mmmeth_exp(PyObject *me, PyObject *arg) | |
1172 | { | |
1173 | PyObject *rc = 0; | |
1174 | mp *yy = 0, *zz = 0; | |
1175 | ||
1176 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1177 | goto end; | |
1178 | if (MP_NEGP(zz)) { | |
1179 | if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end; | |
1180 | zz = mp_neg(zz, zz); | |
1181 | } | |
1182 | rc = mp_pywrap(mpmont_exp(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1183 | end: | |
1184 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1185 | return (rc); | |
1186 | } | |
1187 | ||
1188 | static PyObject *mmmeth_expr(PyObject *me, PyObject *arg) | |
1189 | { | |
1190 | PyObject *rc = 0; | |
1191 | mp *yy = 0, *zz = 0; | |
1192 | ||
1193 | if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz)) | |
1194 | goto end; | |
1195 | if (MP_NEGP(zz)) { | |
1196 | yy = mpmont_reduce(MPMONT_PY(me), yy, yy); | |
1197 | if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end; | |
1198 | yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2); | |
1199 | zz = mp_neg(zz, zz); | |
1200 | } | |
1201 | rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1202 | end: | |
1203 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1204 | return (rc); | |
1205 | } | |
1206 | ||
1207 | static PyObject *mm_mexpr_id(PyObject *me) | |
1208 | { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); } | |
1209 | ||
1210 | static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y) | |
1211 | { | |
1212 | mp *xx = 0, *yy = 0; | |
1213 | mp_expfactor *f = p; | |
1214 | mpmont *mm = MPMONT_PY(me); | |
1215 | ||
1216 | if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0) | |
1217 | goto fail; | |
1218 | if (MP_NEGP(yy)) { | |
1219 | xx = mpmont_reduce(mm, xx, xx); | |
1220 | if ((xx = mp_modinv_checked(xx, xx, yy)) == 0) | |
1221 | goto fail; | |
1222 | xx = mpmont_mul(mm, xx, xx, mm->r2); | |
1223 | yy = mp_neg(yy, yy); | |
1224 | } | |
1225 | f->base = xx; | |
1226 | f->exp = yy; | |
1227 | return (0); | |
1228 | ||
1229 | fail: | |
1230 | mp_drop(xx); mp_drop(yy); | |
1231 | return (-1); | |
1232 | } | |
1233 | ||
1234 | static PyObject *mm_mexpr(PyObject *me, void *v, int n) | |
1235 | { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); } | |
b2687a0a | 1236 | |
d7ab1bab | 1237 | static void mp_mexp_drop(void *p) |
1238 | { | |
1239 | mp_expfactor *f = p; | |
1240 | mp_drop(f->base); | |
1241 | mp_drop(f->exp); | |
1242 | } | |
1243 | ||
1244 | static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg) | |
1245 | { | |
1246 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1247 | mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop); | |
1248 | } | |
1249 | ||
1250 | static PyObject *mp_mexp_id(PyObject *me) | |
1251 | { return mp_pywrap(MP_ONE); } | |
1252 | ||
1253 | static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y) | |
1254 | { | |
1255 | mp *xx = 0, *yy = 0; | |
1256 | mp_expfactor *f = p; | |
1257 | ||
1258 | if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0) | |
1259 | goto fail; | |
1260 | if (MP_NEGP(yy)) { | |
1261 | if ((xx = mp_modinv_checked(xx, xx, yy)) == 0) | |
1262 | goto fail; | |
1263 | yy = mp_neg(yy, yy); | |
1264 | } | |
1265 | f->base = xx; | |
1266 | f->exp = yy; | |
1267 | return (0); | |
1268 | ||
1269 | fail: | |
1270 | mp_drop(xx); mp_drop(yy); | |
1271 | return (-1); | |
1272 | } | |
1273 | ||
1274 | static PyObject *mm_mexp(PyObject *me, void *v, int n) | |
1275 | { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); } | |
b2687a0a | 1276 | |
d7ab1bab | 1277 | static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg) |
1278 | { | |
1279 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1280 | mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop); | |
1281 | } | |
1282 | ||
1283 | #define mmmeth_ext mmmeth_reduce | |
1284 | static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg) | |
1285 | { | |
1286 | PyObject *z = 0; | |
1287 | mp *yy = 0; | |
1288 | ||
1289 | if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end; | |
1290 | z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy)); | |
1291 | end: | |
1292 | return (z); | |
1293 | } | |
1294 | ||
1295 | static void mpmont_pydealloc(PyObject *me) | |
1296 | { | |
1297 | mpmont_destroy(MPMONT_PY(me)); | |
3aa33042 | 1298 | FREEOBJ(me); |
d7ab1bab | 1299 | } |
1300 | ||
1301 | static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1302 | { | |
1303 | mpmont_pyobj *mm = 0; | |
827f89d7 | 1304 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1305 | mp *xx = 0; |
1306 | ||
827f89d7 | 1307 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1308 | goto end; |
1309 | if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd"); | |
1310 | mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0); | |
1311 | mpmont_create(&mm->mm, xx); | |
1312 | end: | |
1313 | if (xx) MP_DROP(xx); | |
1314 | return ((PyObject *)mm); | |
1315 | } | |
1316 | ||
1317 | static PyObject *mmget_m(PyObject *me, void *hunoz) | |
1318 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); } | |
1319 | ||
1320 | static PyObject *mmget_r(PyObject *me, void *hunoz) | |
1321 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); } | |
1322 | ||
1323 | static PyObject *mmget_r2(PyObject *me, void *hunoz) | |
1324 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); } | |
1325 | ||
1326 | static PyGetSetDef mpmont_pygetset[] = { | |
1327 | #define GETSETNAME(op, name) mm##op##_##name | |
1328 | GET (m, "M.m -> modulus for reduction") | |
1329 | GET (r, "M.r -> multiplicative identity") | |
1330 | GET (r2, "M.r2 -> M.r^2, Montgomerization factor") | |
1331 | #undef GETSETNAME | |
1332 | { 0 } | |
1333 | }; | |
1334 | ||
1335 | static PyMethodDef mpmont_pymethods[] = { | |
1336 | #define METHNAME(name) mmmeth_##name | |
986bcc44 | 1337 | METH (int, "M.int(X) -> XR") |
d7ab1bab | 1338 | METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y") |
1339 | METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m") | |
1340 | METH (mexpr, "\ | |
986bcc44 | 1341 | M.mexpr([(XR0, N0), (XR1, N1), ...]) = ZR where Z = X0^N0 X1^N1 ... mod M.m\n\ |
d7ab1bab | 1342 | \t(the list may be flattened if this more convenient.)") |
1343 | METH (reduce, "M.reduce(XR) -> X") | |
1344 | METH (ext, "M.ext(XR) -> X") | |
1345 | METH (exp, "M.exp(X, N) -> X^N mod M.m") | |
1346 | METH (mexp, "\ | |
986bcc44 | 1347 | M.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 ... mod M.m\n\ |
d7ab1bab | 1348 | \t(the list may be flattened if this more convenient.)") |
1349 | #undef METHNAME | |
1350 | { 0 } | |
1351 | }; | |
1352 | ||
1353 | static PyTypeObject *mpmont_pytype, mpmont_pytype_skel = { | |
6d4db0bf | 1354 | PyObject_HEAD_INIT(0) 0, /* Header */ |
c461c9b3 | 1355 | "MPMont", /* @tp_name@ */ |
d7ab1bab | 1356 | sizeof(mpmont_pyobj), /* @tp_basicsize@ */ |
1357 | 0, /* @tp_itemsize@ */ | |
1358 | ||
1359 | mpmont_pydealloc, /* @tp_dealloc@ */ | |
1360 | 0, /* @tp_print@ */ | |
1361 | 0, /* @tp_getattr@ */ | |
1362 | 0, /* @tp_setattr@ */ | |
1363 | 0, /* @tp_compare@ */ | |
1364 | 0, /* @tp_repr@ */ | |
1365 | 0, /* @tp_as_number@ */ | |
1366 | 0, /* @tp_as_sequence@ */ | |
1367 | 0, /* @tp_as_mapping@ */ | |
1368 | 0, /* @tp_hash@ */ | |
1369 | 0, /* @tp_call@ */ | |
1370 | 0, /* @tp_str@ */ | |
1371 | 0, /* @tp_getattro@ */ | |
1372 | 0, /* @tp_setattro@ */ | |
1373 | 0, /* @tp_as_buffer@ */ | |
1374 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1375 | Py_TPFLAGS_BASETYPE, | |
1376 | ||
1377 | /* @tp_doc@ */ | |
06cd26e8 | 1378 | "MPMont(N): a Montgomery reduction context.", |
d7ab1bab | 1379 | |
1380 | 0, /* @tp_traverse@ */ | |
1381 | 0, /* @tp_clear@ */ | |
1382 | 0, /* @tp_richcompare@ */ | |
1383 | 0, /* @tp_weaklistoffset@ */ | |
1384 | 0, /* @tp_iter@ */ | |
963a6148 | 1385 | 0, /* @tp_iternext@ */ |
d7ab1bab | 1386 | mpmont_pymethods, /* @tp_methods@ */ |
1387 | 0, /* @tp_members@ */ | |
1388 | mpmont_pygetset, /* @tp_getset@ */ | |
1389 | 0, /* @tp_base@ */ | |
1390 | 0, /* @tp_dict@ */ | |
1391 | 0, /* @tp_descr_get@ */ | |
1392 | 0, /* @tp_descr_set@ */ | |
1393 | 0, /* @tp_dictoffset@ */ | |
1394 | 0, /* @tp_init@ */ | |
1395 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1396 | mpmont_pynew, /* @tp_new@ */ | |
3aa33042 | 1397 | 0, /* @tp_free@ */ |
d7ab1bab | 1398 | 0 /* @tp_is_gc@ */ |
1399 | }; | |
1400 | ||
1401 | /*----- Barrett reduction -------------------------------------------------*/ | |
1402 | ||
1403 | typedef struct mpbarrett_pyobj { | |
1404 | PyObject_HEAD | |
1405 | mpbarrett mb; | |
1406 | } mpbarrett_pyobj; | |
1407 | ||
1408 | #define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb) | |
1409 | ||
1410 | static PyObject *mbmeth_exp(PyObject *me, PyObject *arg) | |
1411 | { | |
1412 | PyObject *rc = 0; | |
1413 | mp *yy = 0, *zz = 0; | |
1414 | ||
1415 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1416 | goto end; | |
1417 | if (MP_NEGP(zz)) { | |
1418 | if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end; | |
1419 | zz = mp_neg(zz, zz); | |
1420 | } | |
1421 | rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz)); | |
1422 | end: | |
1423 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1424 | return (rc); | |
1425 | } | |
1426 | ||
1427 | static PyObject *mb_mexp(PyObject *me, void *v, int n) | |
1428 | { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); } | |
b2687a0a | 1429 | |
d7ab1bab | 1430 | static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg) |
1431 | { | |
1432 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1433 | mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop); | |
1434 | } | |
1435 | ||
1436 | static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg) | |
1437 | { | |
1438 | PyObject *z = 0; | |
1439 | mp *yy = 0; | |
1440 | ||
1441 | if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) | |
1442 | goto end; | |
1443 | z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy)); | |
1444 | end: | |
1445 | return (z); | |
1446 | } | |
1447 | ||
1448 | static void mpbarrett_pydealloc(PyObject *me) | |
1449 | { | |
1450 | mpbarrett_destroy(MPBARRETT_PY(me)); | |
3aa33042 | 1451 | FREEOBJ(me); |
d7ab1bab | 1452 | } |
1453 | ||
1454 | static PyObject *mpbarrett_pynew(PyTypeObject *ty, | |
1455 | PyObject *arg, PyObject *kw) | |
1456 | { | |
1457 | mpbarrett_pyobj *mb = 0; | |
827f89d7 | 1458 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1459 | mp *xx = 0; |
1460 | ||
827f89d7 | 1461 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1462 | goto end; |
1463 | if (!MP_POSP(xx)) VALERR("m must be positive"); | |
1464 | mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0); | |
1465 | mpbarrett_create(&mb->mb, xx); | |
1466 | end: | |
1467 | if (xx) MP_DROP(xx); | |
1468 | return ((PyObject *)mb); | |
1469 | } | |
1470 | ||
1471 | static PyObject *mbget_m(PyObject *me, void *hunoz) | |
1472 | { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); } | |
1473 | ||
1474 | static PyGetSetDef mpbarrett_pygetset[] = { | |
1475 | #define GETSETNAME(op, name) mb##op##_##name | |
1476 | GET (m, "B.m -> modulus for reduction") | |
1477 | #undef GETSETNAME | |
1478 | { 0 } | |
1479 | }; | |
1480 | ||
1481 | static PyMethodDef mpbarrett_pymethods[] = { | |
1482 | #define METHNAME(name) mbmeth_##name | |
1483 | METH (reduce, "B.reduce(X) -> X mod B.m") | |
1484 | METH (exp, "B.exp(X, N) -> X^N mod B.m") | |
1485 | METH (mexp, "\ | |
986bcc44 | 1486 | B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 ... mod B.m\n\ |
d7ab1bab | 1487 | \t(the list may be flattened if this more convenient.)") |
1488 | #undef METHNAME | |
1489 | { 0 } | |
1490 | }; | |
1491 | ||
1492 | static PyTypeObject *mpbarrett_pytype, mpbarrett_pytype_skel = { | |
6d4db0bf | 1493 | PyObject_HEAD_INIT(0) 0, /* Header */ |
c461c9b3 | 1494 | "MPBarrett", /* @tp_name@ */ |
d7ab1bab | 1495 | sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */ |
1496 | 0, /* @tp_itemsize@ */ | |
1497 | ||
1498 | mpbarrett_pydealloc, /* @tp_dealloc@ */ | |
1499 | 0, /* @tp_print@ */ | |
1500 | 0, /* @tp_getattr@ */ | |
1501 | 0, /* @tp_setattr@ */ | |
1502 | 0, /* @tp_compare@ */ | |
1503 | 0, /* @tp_repr@ */ | |
1504 | 0, /* @tp_as_number@ */ | |
1505 | 0, /* @tp_as_sequence@ */ | |
1506 | 0, /* @tp_as_mapping@ */ | |
1507 | 0, /* @tp_hash@ */ | |
1508 | 0, /* @tp_call@ */ | |
1509 | 0, /* @tp_str@ */ | |
1510 | 0, /* @tp_getattro@ */ | |
1511 | 0, /* @tp_setattro@ */ | |
1512 | 0, /* @tp_as_buffer@ */ | |
1513 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1514 | Py_TPFLAGS_BASETYPE, | |
1515 | ||
1516 | /* @tp_doc@ */ | |
06cd26e8 | 1517 | "MPBarrett(N): a Barrett reduction context.", |
d7ab1bab | 1518 | |
1519 | 0, /* @tp_traverse@ */ | |
1520 | 0, /* @tp_clear@ */ | |
1521 | 0, /* @tp_richcompare@ */ | |
1522 | 0, /* @tp_weaklistoffset@ */ | |
1523 | 0, /* @tp_iter@ */ | |
963a6148 | 1524 | 0, /* @tp_iternext@ */ |
d7ab1bab | 1525 | mpbarrett_pymethods, /* @tp_methods@ */ |
1526 | 0, /* @tp_members@ */ | |
1527 | mpbarrett_pygetset, /* @tp_getset@ */ | |
1528 | 0, /* @tp_base@ */ | |
1529 | 0, /* @tp_dict@ */ | |
1530 | 0, /* @tp_descr_get@ */ | |
1531 | 0, /* @tp_descr_set@ */ | |
1532 | 0, /* @tp_dictoffset@ */ | |
1533 | 0, /* @tp_init@ */ | |
1534 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1535 | mpbarrett_pynew, /* @tp_new@ */ | |
3aa33042 | 1536 | 0, /* @tp_free@ */ |
d7ab1bab | 1537 | 0 /* @tp_is_gc@ */ |
1538 | }; | |
1539 | ||
1540 | /*----- Nice prime reduction ----------------------------------------------*/ | |
1541 | ||
1542 | typedef struct mpreduce_pyobj { | |
1543 | PyObject_HEAD | |
1544 | mpreduce mr; | |
1545 | } mpreduce_pyobj; | |
1546 | ||
1547 | #define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr) | |
1548 | ||
1549 | static PyObject *mrmeth_exp(PyObject *me, PyObject *arg) | |
1550 | { | |
1551 | PyObject *rc = 0; | |
1552 | mp *yy = 0, *zz = 0; | |
1553 | ||
1554 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1555 | goto end; | |
1556 | if (MP_NEGP(zz)) { | |
1557 | if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end; | |
1558 | zz = mp_neg(zz, zz); | |
1559 | } | |
1560 | rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz)); | |
1561 | end: | |
1562 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1563 | return (rc); | |
1564 | } | |
1565 | ||
1566 | static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg) | |
1567 | { | |
1568 | PyObject *z = 0; | |
1569 | mp *yy = 0; | |
1570 | ||
1571 | if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end; | |
1572 | z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy)); | |
1573 | end: | |
1574 | return (z); | |
1575 | } | |
1576 | ||
1577 | static void mpreduce_pydealloc(PyObject *me) | |
1578 | { | |
1579 | mpreduce_destroy(MPREDUCE_PY(me)); | |
3aa33042 | 1580 | FREEOBJ(me); |
d7ab1bab | 1581 | } |
1582 | ||
1583 | static PyObject *mpreduce_pynew(PyTypeObject *ty, | |
1584 | PyObject *arg, PyObject *kw) | |
1585 | { | |
1586 | mpreduce_pyobj *mr = 0; | |
1587 | mpreduce r; | |
827f89d7 | 1588 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1589 | mp *xx = 0; |
1590 | ||
827f89d7 | 1591 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1592 | goto end; |
1593 | if (!MP_POSP(xx)) VALERR("m must be positive"); | |
1594 | if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)"); | |
1595 | mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0); | |
1596 | mr->mr = r; | |
1597 | end: | |
1598 | if (xx) MP_DROP(xx); | |
1599 | return ((PyObject *)mr); | |
1600 | } | |
1601 | ||
1602 | static PyObject *mrget_m(PyObject *me, void *hunoz) | |
1603 | { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); } | |
1604 | ||
1605 | static PyGetSetDef mpreduce_pygetset[] = { | |
1606 | #define GETSETNAME(op, name) mr##op##_##name | |
1607 | GET (m, "R.m -> modulus for reduction") | |
1608 | #undef GETSETNAME | |
1609 | { 0 } | |
1610 | }; | |
1611 | ||
1612 | static PyMethodDef mpreduce_pymethods[] = { | |
1613 | #define METHNAME(name) mrmeth_##name | |
1614 | METH (reduce, "R.reduce(X) -> X mod B.m") | |
1615 | METH (exp, "R.exp(X, N) -> X^N mod B.m") | |
1616 | #undef METHNAME | |
1617 | { 0 } | |
1618 | }; | |
1619 | ||
1620 | static PyTypeObject *mpreduce_pytype, mpreduce_pytype_skel = { | |
6d4db0bf | 1621 | PyObject_HEAD_INIT(0) 0, /* Header */ |
c461c9b3 | 1622 | "MPReduce", /* @tp_name@ */ |
d7ab1bab | 1623 | sizeof(mpreduce_pyobj), /* @tp_basicsize@ */ |
1624 | 0, /* @tp_itemsize@ */ | |
1625 | ||
1626 | mpreduce_pydealloc, /* @tp_dealloc@ */ | |
1627 | 0, /* @tp_print@ */ | |
1628 | 0, /* @tp_getattr@ */ | |
1629 | 0, /* @tp_setattr@ */ | |
1630 | 0, /* @tp_compare@ */ | |
1631 | 0, /* @tp_repr@ */ | |
1632 | 0, /* @tp_as_number@ */ | |
1633 | 0, /* @tp_as_sequence@ */ | |
1634 | 0, /* @tp_as_mapping@ */ | |
1635 | 0, /* @tp_hash@ */ | |
1636 | 0, /* @tp_call@ */ | |
1637 | 0, /* @tp_str@ */ | |
1638 | 0, /* @tp_getattro@ */ | |
1639 | 0, /* @tp_setattro@ */ | |
1640 | 0, /* @tp_as_buffer@ */ | |
1641 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1642 | Py_TPFLAGS_BASETYPE, | |
1643 | ||
1644 | /* @tp_doc@ */ | |
06cd26e8 | 1645 | "MPReduce(N): a reduction context for reduction modulo Solinas primes.", |
d7ab1bab | 1646 | |
1647 | 0, /* @tp_traverse@ */ | |
1648 | 0, /* @tp_clear@ */ | |
1649 | 0, /* @tp_richcompare@ */ | |
1650 | 0, /* @tp_weaklistoffset@ */ | |
1651 | 0, /* @tp_iter@ */ | |
963a6148 | 1652 | 0, /* @tp_iternext@ */ |
d7ab1bab | 1653 | mpreduce_pymethods, /* @tp_methods@ */ |
1654 | 0, /* @tp_members@ */ | |
1655 | mpreduce_pygetset, /* @tp_getset@ */ | |
1656 | 0, /* @tp_base@ */ | |
1657 | 0, /* @tp_dict@ */ | |
1658 | 0, /* @tp_descr_get@ */ | |
1659 | 0, /* @tp_descr_set@ */ | |
1660 | 0, /* @tp_dictoffset@ */ | |
1661 | 0, /* @tp_init@ */ | |
1662 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1663 | mpreduce_pynew, /* @tp_new@ */ | |
3aa33042 | 1664 | 0, /* @tp_free@ */ |
d7ab1bab | 1665 | 0 /* @tp_is_gc@ */ |
1666 | }; | |
1667 | ||
1668 | /*----- Chinese Remainder Theorem solution --------------------------------*/ | |
1669 | ||
1670 | typedef struct mpcrt_pyobj { | |
1671 | PyObject_HEAD | |
1672 | mpcrt c; | |
1673 | } mpcrt_pyobj; | |
1674 | ||
1675 | #define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c) | |
1676 | ||
1677 | static PyObject *mcmeth_solve(PyObject *me, PyObject *arg) | |
1678 | { | |
1679 | mpcrt *c = MPCRT_PY(me); | |
1680 | PyObject *q = 0, *x, *z = 0; | |
1681 | mp *xx; | |
1682 | mp **v = 0; | |
77a0d53f | 1683 | Py_ssize_t i = 0, n = c->k; |
d7ab1bab | 1684 | |
1685 | Py_INCREF(me); | |
1686 | if (PyTuple_Size(arg) == n) | |
1687 | q = arg; | |
1688 | else if (!PyArg_ParseTuple(arg, "O:solve", &q)) | |
1689 | goto end; | |
1690 | Py_INCREF(q); | |
1691 | if (!PySequence_Check(q)) TYERR("want a sequence of residues"); | |
4281a7ee MW |
1692 | i = PySequence_Size(q); if (i < 0) goto end; |
1693 | if (i != n) VALERR("residue count mismatch"); | |
d7ab1bab | 1694 | v = xmalloc(n * sizeof(*v)); |
1695 | for (i = 0; i < n; i++) { | |
1696 | if ((x = PySequence_GetItem(q, i)) == 0) goto end; | |
1697 | xx = getmp(x); Py_DECREF(x); if (!xx) goto end; | |
1698 | v[i] = xx; | |
1699 | } | |
1700 | z = mp_pywrap(mpcrt_solve(c, MP_NEW, v)); | |
1701 | end: | |
1702 | if (v) { | |
1703 | n = i; | |
1704 | for (i = 0; i < n; i++) | |
1705 | MP_DROP(v[i]); | |
1706 | xfree(v); | |
1707 | } | |
1708 | Py_DECREF(me); | |
1709 | Py_XDECREF(q); | |
1710 | return (z); | |
1711 | } | |
1712 | ||
1713 | static void mpcrt_pydealloc(PyObject *me) | |
1714 | { | |
1715 | mpcrt *c = MPCRT_PY(me); | |
1716 | mpcrt_destroy(c); | |
1717 | xfree(c->v); | |
1718 | } | |
1719 | ||
1720 | static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1721 | { | |
1722 | mpcrt_mod *v = 0; | |
77a0d53f | 1723 | Py_ssize_t n, i = 0, j; |
827f89d7 | 1724 | static const char *const kwlist[] = { "mv", 0 }; |
d7ab1bab | 1725 | PyObject *q = 0, *x; |
d2b7e92c MW |
1726 | mp *xx = MP_NEW, *y = MP_NEW, *g = MP_NEW; |
1727 | mpmul mm; | |
d7ab1bab | 1728 | mpcrt_pyobj *c = 0; |
1729 | ||
1730 | if (PyTuple_Size(arg) > 1) | |
1731 | q = arg; | |
827f89d7 | 1732 | else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", KWLIST, &q)) |
d7ab1bab | 1733 | goto end; |
1734 | Py_INCREF(q); | |
1735 | if (!PySequence_Check(q)) TYERR("want a sequence of moduli"); | |
4281a7ee | 1736 | n = PySequence_Size(q); if (n < 0) goto end; |
d7ab1bab | 1737 | if (!n) VALERR("want at least one modulus"); |
1738 | v = xmalloc(n * sizeof(*v)); | |
1739 | for (i = 0; i < n; i++) { | |
1740 | if ((x = PySequence_GetItem(q, i)) == 0) goto end; | |
1741 | xx = getmp(x); Py_DECREF(x); if (!xx) goto end; | |
684cd535 | 1742 | if (MP_CMP(xx, <=, MP_ZERO)) VALERR("moduli must be positive"); |
4e02c19c | 1743 | v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0; xx = MP_NEW; |
d7ab1bab | 1744 | } |
d2b7e92c MW |
1745 | mpmul_init(&mm); |
1746 | for (j = 0; j < i; j++) mpmul_add(&mm, v[j].m); | |
1747 | xx = mpmul_done(&mm); | |
1748 | for (j = 0; j < i; j++) { | |
1749 | mp_div(&y, 0, xx, v[j].m); | |
1750 | mp_gcd(&g, 0, 0, y, v[j].m); | |
1751 | if (!MP_EQ(g, MP_ONE)) VALERR("moduli must be pairwise coprime"); | |
1752 | } | |
1753 | ||
d7ab1bab | 1754 | c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0); |
1755 | mpcrt_create(&c->c, v, n, 0); | |
1756 | Py_DECREF(q); | |
d2b7e92c | 1757 | mp_drop(xx); mp_drop(y); mp_drop(g); |
d7ab1bab | 1758 | return ((PyObject *)c); |
1759 | ||
1760 | end: | |
1761 | if (v) { | |
1762 | n = i; | |
1763 | for (i = 0; i < n; i++) | |
1764 | MP_DROP(v[i].m); | |
1765 | xfree(v); | |
1766 | } | |
1767 | Py_XDECREF(q); | |
d2b7e92c | 1768 | mp_drop(xx); mp_drop(y); mp_drop(g); |
d7ab1bab | 1769 | return (0); |
1770 | } | |
1771 | ||
1772 | static PyObject *mcget_product(PyObject *me, void *hunoz) | |
1773 | { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); } | |
1774 | ||
1775 | static PyObject *mcget_moduli(PyObject *me, void *hunoz) | |
1776 | { | |
1777 | int i; | |
1778 | PyObject *q; | |
1779 | mpcrt *c = MPCRT_PY(me); | |
1780 | ||
1781 | if ((q = PyList_New(c->k)) == 0) return (0); | |
1782 | for (i = 0; i < c->k; i++) | |
1783 | PyList_SetItem(q, i, mp_pywrap(c->v[i].m)); | |
1784 | return (q); | |
1785 | } | |
1786 | ||
1787 | static PyGetSetDef mpcrt_pygetset[] = { | |
1788 | #define GETSETNAME(op, name) mc##op##_##name | |
1789 | GET (product, "C.product -> product of moduli") | |
1790 | GET (moduli, "C.moduli -> list of individual moduli") | |
1791 | #undef GETSETNAME | |
1792 | { 0 } | |
1793 | }; | |
1794 | ||
1795 | static PyMethodDef mpcrt_pymethods[] = { | |
1796 | #define METHNAME(name) mcmeth_##name | |
1797 | METH (solve, "C.solve([R0, R1]) -> X mod C.product") | |
1798 | #undef METHNAME | |
1799 | { 0 } | |
1800 | }; | |
1801 | ||
1802 | static PyTypeObject *mpcrt_pytype, mpcrt_pytype_skel = { | |
6d4db0bf | 1803 | PyObject_HEAD_INIT(0) 0, /* Header */ |
c461c9b3 | 1804 | "MPCRT", /* @tp_name@ */ |
d7ab1bab | 1805 | sizeof(mpcrt_pyobj), /* @tp_basicsize@ */ |
1806 | 0, /* @tp_itemsize@ */ | |
1807 | ||
1808 | mpcrt_pydealloc, /* @tp_dealloc@ */ | |
1809 | 0, /* @tp_print@ */ | |
1810 | 0, /* @tp_getattr@ */ | |
1811 | 0, /* @tp_setattr@ */ | |
1812 | 0, /* @tp_compare@ */ | |
1813 | 0, /* @tp_repr@ */ | |
1814 | 0, /* @tp_as_number@ */ | |
1815 | 0, /* @tp_as_sequence@ */ | |
1816 | 0, /* @tp_as_mapping@ */ | |
1817 | 0, /* @tp_hash@ */ | |
1818 | 0, /* @tp_call@ */ | |
1819 | 0, /* @tp_str@ */ | |
1820 | 0, /* @tp_getattro@ */ | |
1821 | 0, /* @tp_setattro@ */ | |
1822 | 0, /* @tp_as_buffer@ */ | |
1823 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1824 | Py_TPFLAGS_BASETYPE, | |
1825 | ||
1826 | /* @tp_doc@ */ | |
06cd26e8 | 1827 | "MPCRT(SEQ): a context for solving Chinese Remainder Theorem problems.", |
d7ab1bab | 1828 | |
1829 | 0, /* @tp_traverse@ */ | |
1830 | 0, /* @tp_clear@ */ | |
1831 | 0, /* @tp_richcompare@ */ | |
1832 | 0, /* @tp_weaklistoffset@ */ | |
1833 | 0, /* @tp_iter@ */ | |
963a6148 | 1834 | 0, /* @tp_iternext@ */ |
d7ab1bab | 1835 | mpcrt_pymethods, /* @tp_methods@ */ |
1836 | 0, /* @tp_members@ */ | |
1837 | mpcrt_pygetset, /* @tp_getset@ */ | |
1838 | 0, /* @tp_base@ */ | |
1839 | 0, /* @tp_dict@ */ | |
1840 | 0, /* @tp_descr_get@ */ | |
1841 | 0, /* @tp_descr_set@ */ | |
1842 | 0, /* @tp_dictoffset@ */ | |
1843 | 0, /* @tp_init@ */ | |
1844 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1845 | mpcrt_pynew, /* @tp_new@ */ | |
3aa33042 | 1846 | 0, /* @tp_free@ */ |
d7ab1bab | 1847 | 0 /* @tp_is_gc@ */ |
1848 | }; | |
1849 | ||
1850 | /*----- Binary polynomials ------------------------------------------------*/ | |
1851 | ||
1852 | static PyObject *gf_pyrepr(PyObject *o) | |
1853 | { return mp_topystring(MP_X(o), 16, "GF(", "0x", "L)"); } | |
1854 | ||
1855 | static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op) | |
1856 | { | |
1857 | mp *xx, *yy; | |
1858 | int xl, yl; | |
1859 | int b; | |
1860 | ||
bf8910bd | 1861 | if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; |
d7ab1bab | 1862 | switch (op) { |
1863 | case Py_EQ: b = MP_EQ(xx, yy); break; | |
1864 | case Py_NE: b = !MP_EQ(xx, yy); break; | |
1865 | default: | |
1866 | xl = mp_bits(xx); | |
1867 | yl = mp_bits(yy); | |
1868 | switch (op) { | |
1869 | case Py_LT: b = xl < yl; break; | |
1870 | case Py_LE: b = xl <= yl; break; | |
1871 | case Py_GT: b = xl > yl; break; | |
1872 | case Py_GE: b = xl >= yl; break; | |
1873 | default: abort(); | |
1874 | } | |
1875 | break; | |
1876 | } | |
1877 | MP_DROP(xx); MP_DROP(yy); | |
1878 | return (getbool(b)); | |
1879 | } | |
1880 | ||
1881 | static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1882 | { | |
1883 | PyObject *x; | |
1884 | mp *z; | |
1885 | mp_pyobj *zz = 0; | |
1886 | int radix = 0; | |
827f89d7 | 1887 | static const char *const kwlist[] = { "x", "radix", 0 }; |
d7ab1bab | 1888 | |
827f89d7 | 1889 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", KWLIST, &x, &radix)) |
d7ab1bab | 1890 | goto end; |
1891 | if (GF_PYCHECK(x)) RETURN_OBJ(x); | |
f368b46e | 1892 | if (!good_radix_p(radix, 1)) VALERR("radix out of range"); |
d7ab1bab | 1893 | if ((z = mp_frompyobject(x, radix)) == 0) { |
1894 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf", | |
1895 | x->ob_type->tp_name); | |
1896 | goto end; | |
1897 | } | |
1898 | if (MP_NEGP(z)) { | |
1899 | MP_DROP(z); | |
1900 | VALERR("gf cannot be negative"); | |
1901 | } | |
1902 | zz = (mp_pyobj *)ty->tp_alloc(ty, 0); | |
1903 | zz->x = z; | |
1904 | end: | |
1905 | return ((PyObject *)zz); | |
1906 | } | |
1907 | ||
d7ab1bab | 1908 | static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z) |
1909 | { | |
1910 | mp *xx = 0, *yy = 0, *zz = 0; | |
1911 | mp *r = 0; | |
1912 | PyObject *rc = 0; | |
1913 | ||
1914 | if ((xx = tomp(x)) == 0 || (yy = tomp(y)) == 0 || | |
1915 | (z && z != Py_None && (zz = tomp(z)) == 0)) { | |
1916 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
1917 | RETURN_NOTIMPL; | |
1918 | } | |
1919 | if (!z || z == Py_None) { | |
1920 | if (MP_NEGP(yy)) VALERR("negative exponent"); | |
1921 | r = gf_exp(MP_NEW, xx, yy); | |
1922 | } else { | |
1923 | gfreduce gr; | |
1924 | if (MP_ZEROP(zz)) ZDIVERR("zero modulus"); | |
1925 | if (MP_NEGP(yy)) { | |
1926 | if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end; | |
1927 | yy = mp_neg(yy, yy); | |
1928 | } | |
1929 | gfreduce_create(&gr, zz); | |
1930 | r = gfreduce_exp(&gr, MP_NEW, xx, yy); | |
1931 | gfreduce_destroy(&gr); | |
1932 | } | |
1933 | rc = gf_pywrap(r); | |
1934 | end: | |
1935 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
1936 | return (rc); | |
1937 | } | |
1938 | ||
1939 | static PyObject *gfmeth_sqr(PyObject *me, PyObject *arg) | |
1940 | { | |
1941 | if (!PyArg_ParseTuple(arg, ":sqr")) return (0); | |
1942 | return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me)))); | |
1943 | } | |
1944 | ||
1945 | static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg) | |
1946 | { | |
1947 | PyObject *z = 0; | |
1948 | mp *yy = 0, *zz = MP_NEW; | |
1949 | ||
1950 | if (!PyArg_ParseTuple(arg, "O&:gcd", convgf, &yy)) goto end; | |
1951 | gf_gcd(&zz, 0, 0, MP_X(me), yy); | |
1952 | z = gf_pywrap(zz); | |
1953 | end: | |
1954 | if (yy) MP_DROP(yy); | |
1955 | return (z); | |
1956 | } | |
1957 | ||
1958 | static PyObject *gfmeth_gcdx(PyObject *me, PyObject *arg) | |
1959 | { | |
1960 | PyObject *z = 0; | |
1961 | mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW; | |
1962 | ||
1963 | if (!PyArg_ParseTuple(arg, "O&:gcdx", convgf, &yy)) | |
1964 | goto end; | |
1965 | gf_gcd(&zz, &uu, &vv, MP_X(me), yy); | |
1966 | z = Py_BuildValue("(NNN)", | |
1967 | gf_pywrap(zz), gf_pywrap(uu), gf_pywrap(vv)); | |
1968 | end: | |
1969 | if (yy) MP_DROP(yy); | |
1970 | return (z); | |
1971 | } | |
1972 | ||
1973 | static PyObject *gfmeth_modinv(PyObject *me, PyObject *arg) | |
1974 | { | |
1975 | PyObject *z = 0; | |
1976 | mp *yy = 0, *zz = MP_NEW; | |
1977 | ||
1978 | if (!PyArg_ParseTuple(arg, "O&:modinv", convgf, &yy) || | |
1979 | (zz = gf_modinv_checked(MP_NEW, yy, MP_X(me))) == 0) | |
1980 | goto end; | |
1981 | z = gf_pywrap(zz); | |
1982 | end: | |
1983 | if (yy) MP_DROP(yy); | |
1984 | return (z); | |
1985 | } | |
1986 | ||
1987 | static PyObject *gfmeth_irreduciblep(PyObject *me, PyObject *arg) | |
1988 | { | |
1989 | if (!PyArg_ParseTuple(arg, ":irreduciblep")) return (0); | |
1990 | return getbool(gf_irreduciblep(MP_X(me))); | |
1991 | } | |
1992 | ||
1993 | static PyObject *gfget_degree(PyObject *me, void *hunoz) | |
1994 | { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); } | |
1995 | ||
1996 | static PyGetSetDef gf_pygetset[] = { | |
1997 | #define GETSETNAME(op, name) gf##op##_##name | |
1998 | GET (degree, "X.degree -> polynomial degree of X") | |
1999 | #undef GETSETNAME | |
2000 | #define GETSETNAME(op, name) mp##op##_##name | |
2001 | GET (nbits, "X.nbits -> bit length of X") | |
2002 | GET (noctets, "X.noctets -> octet length of X") | |
2003 | #undef GETSETNAME | |
2004 | { 0 } | |
2005 | }; | |
2006 | ||
2007 | static PyMethodDef gf_pymethods[] = { | |
2008 | #define METHNAME(func) gfmeth_##func | |
2009 | METH (setbit, "X.setbit(N) -> X with bit N set") | |
2010 | METH (clearbit, "X.clearbit(N) -> X with bit N clear") | |
2011 | METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X") | |
2012 | METH (sqr, "X.sqr() -> X^2") | |
2013 | METH (gcd, "X.gcd(Y) -> gcd(X, Y)") | |
2014 | METH (gcdx, | |
2015 | "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)") | |
2016 | METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X") | |
b2687a0a | 2017 | METH (irreduciblep, "X.irreduciblep() -> true/false") |
d7ab1bab | 2018 | #undef METHNAME |
2019 | #define METHNAME(func) mpmeth_##func | |
1df8d5fe MW |
2020 | KWMETH(tostring, "X.tostring([radix = 10]) -> STR") |
2021 | KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes") | |
2022 | KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes") | |
d7ab1bab | 2023 | KWMETH(storel2c, |
1df8d5fe | 2024 | "X.storel2c([len = -1]) -> little-endian bytes, two's complement") |
d7ab1bab | 2025 | KWMETH(storeb2c, |
1df8d5fe | 2026 | "X.storeb2c([len = -1]) -> big-endian bytes, two's complement") |
d7ab1bab | 2027 | METH (tobuf, "X.tobuf() -> buffer format") |
2028 | #undef METHNAME | |
2029 | { 0 } | |
2030 | }; | |
2031 | ||
2032 | static PyNumberMethods gf_pynumber = { | |
2033 | gf_pyadd, /* @nb_add@ */ | |
2034 | gf_pysub, /* @nb_subtract@ */ | |
2035 | gf_pymul, /* @nb_multiply@ */ | |
2036 | 0, /* @nb_divide@ */ | |
2037 | gf_pymod, /* @nb_remainder@ */ | |
2038 | gf_pydivmod, /* @nb_divmod@ */ | |
2039 | gf_pyexp, /* @nb_power@ */ | |
2040 | mp_pyid, /* @nb_negative@ */ | |
2041 | mp_pyid, /* @nb_positive@ */ | |
2042 | mp_pyid, /* @nb_absolute@ */ | |
2043 | mp_pynonzerop, /* @nb_nonzero@ */ | |
2044 | 0 /* doesn't make any sense */, /* @nb_invert@ */ | |
2045 | gf_pylsl, /* @nb_lshift@ */ | |
2046 | gf_pylsr, /* @nb_rshift@ */ | |
2047 | gf_pyand, /* @nb_and@ */ | |
2048 | gf_pyxor, /* @nb_xor@ */ | |
2049 | gf_pyor, /* @nb_or@ */ | |
2050 | gf_pycoerce, /* @nb_coerce@ */ | |
2051 | mp_pyint, /* @nb_int@ */ | |
2052 | mp_pylong, /* @nb_long@ */ | |
2053 | 0 /* doesn't make any sense */, /* @nb_float@ */ | |
2054 | mp_pyoct, /* @nb_oct@ */ | |
2055 | mp_pyhex, /* @nb_hex@ */ | |
2056 | ||
2057 | 0, /* @nb_inplace_add@ */ | |
2058 | 0, /* @nb_inplace_subtract@ */ | |
2059 | 0, /* @nb_inplace_multiply@ */ | |
2060 | 0, /* @nb_inplace_divide@ */ | |
2061 | 0, /* @nb_inplace_remainder@ */ | |
2062 | 0, /* @nb_inplace_power@ */ | |
2063 | 0, /* @nb_inplace_lshift@ */ | |
2064 | 0, /* @nb_inplace_rshift@ */ | |
2065 | 0, /* @nb_inplace_and@ */ | |
2066 | 0, /* @nb_inplace_xor@ */ | |
2067 | 0, /* @nb_inplace_or@ */ | |
2068 | ||
2069 | gf_pydiv, /* @nb_floor_divide@ */ | |
2070 | 0, /* @nb_true_divide@ */ | |
2071 | 0, /* @nb_inplace_floor_divide@ */ | |
2072 | 0, /* @nb_inplace_true_divide@ */ | |
2073 | }; | |
2074 | ||
2075 | static PyTypeObject gf_pytype_skel = { | |
6d4db0bf | 2076 | PyObject_HEAD_INIT(0) 0, /* Header */ |
c461c9b3 | 2077 | "GF", /* @tp_name@ */ |
d7ab1bab | 2078 | sizeof(mp_pyobj), /* @tp_basicsize@ */ |
2079 | 0, /* @tp_itemsize@ */ | |
2080 | ||
2081 | mp_pydealloc, /* @tp_dealloc@ */ | |
2082 | 0, /* @tp_print@ */ | |
2083 | 0, /* @tp_getattr@ */ | |
2084 | 0, /* @tp_setattr@ */ | |
2085 | 0, /* @tp_compare@ */ | |
2086 | gf_pyrepr, /* @tp_repr@ */ | |
2087 | &gf_pynumber, /* @tp_as_number@ */ | |
2088 | 0, /* @tp_as_sequence@ */ | |
2089 | 0, /* @tp_as_mapping@ */ | |
ab723d73 | 2090 | mp_pyhash, /* @tp_hash@ */ |
d7ab1bab | 2091 | 0, /* @tp_call@ */ |
2092 | mp_pyhex, /* @tp_str@ */ | |
2093 | 0, /* @tp_getattro@ */ | |
2094 | 0, /* @tp_setattro@ */ | |
2095 | 0, /* @tp_as_buffer@ */ | |
2096 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2097 | Py_TPFLAGS_CHECKTYPES | | |
2098 | Py_TPFLAGS_BASETYPE, | |
2099 | ||
2100 | /* @tp_doc@ */ | |
2101 | "Binary polynomials. Support almost all the standard arithmetic\n\ | |
2102 | operations.\n\ | |
2103 | \n\ | |
1df8d5fe | 2104 | Constructor GF(X, [radix = R]) attempts to convert X to a `GF'. If\n\ |
d7ab1bab | 2105 | X is a string, it's read in radix-R form, or we look for a prefix\n\ |
75e81374 MW |
2106 | if R = 0. Other acceptable things are field elements, elliptic curve\n\ |
2107 | points, group elements, Python `int' and `long' objects, and anything\n\ | |
2108 | with an integer conversion.\n\ | |
d7ab1bab | 2109 | \n\ |
2110 | The name is hopelessly wrong from a technical point of view, but\n\ | |
2111 | but it's much easier to type than `p2' or `c2' or whatever.\n\ | |
2112 | \n\ | |
2113 | Notes:\n\ | |
2114 | \n\ | |
06cd26e8 | 2115 | * Use `//' for Euclidean division. `/' gives exact rational division.", |
d7ab1bab | 2116 | |
2117 | 0, /* @tp_traverse@ */ | |
2118 | 0, /* @tp_clear@ */ | |
2119 | gf_pyrichcompare, /* @tp_richcompare@ */ | |
2120 | 0, /* @tp_weaklistoffset@ */ | |
2121 | 0, /* @tp_iter@ */ | |
963a6148 | 2122 | 0, /* @tp_iternext@ */ |
d7ab1bab | 2123 | gf_pymethods, /* @tp_methods@ */ |
2124 | 0, /* @tp_members@ */ | |
2125 | gf_pygetset, /* @tp_getset@ */ | |
2126 | 0, /* @tp_base@ */ | |
2127 | 0, /* @tp_dict@ */ | |
2128 | 0, /* @tp_descr_get@ */ | |
2129 | 0, /* @tp_descr_set@ */ | |
2130 | 0, /* @tp_dictoffset@ */ | |
2131 | 0, /* @tp_init@ */ | |
2132 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2133 | gf_pynew, /* @tp_new@ */ | |
3aa33042 | 2134 | 0, /* @tp_free@ */ |
d7ab1bab | 2135 | 0 /* @tp_is_gc@ */ |
2136 | }; | |
2137 | ||
2138 | static PyObject *meth__GF_fromstring(PyObject *me, | |
2139 | PyObject *arg, PyObject *kw) | |
2140 | { | |
2141 | int r = 0; | |
2142 | char *p; | |
6b54260d | 2143 | Py_ssize_t len; |
d7ab1bab | 2144 | PyObject *z = 0; |
2145 | mp *zz; | |
2146 | mptext_stringctx sc; | |
827f89d7 | 2147 | static const char *const kwlist[] = { "class", "x", "radix", 0 }; |
d7ab1bab | 2148 | |
2149 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring", | |
827f89d7 | 2150 | KWLIST, &me, &p, &len, &r)) |
d7ab1bab | 2151 | goto end; |
4b3890c7 | 2152 | if (!good_radix_p(r, 1)) VALERR("bad radix"); |
d7ab1bab | 2153 | sc.buf = p; sc.lim = p + len; |
4b3890c7 MW |
2154 | if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 || |
2155 | MP_NEGP(zz)) { | |
2156 | if (zz) MP_DROP(zz); | |
80f7cd89 | 2157 | VALERR("bad binary polynomial"); |
4b3890c7 | 2158 | } |
6b54260d MW |
2159 | z = Py_BuildValue("(Ns#)", gf_pywrap(zz), |
2160 | sc.buf, (Py_ssize_t)(sc.lim - sc.buf)); | |
d7ab1bab | 2161 | end: |
2162 | return (z); | |
2163 | } | |
2164 | ||
2165 | /*----- Sparse poly reduction ---------------------------------------------*/ | |
2166 | ||
2167 | typedef struct gfreduce_pyobj { | |
2168 | PyObject_HEAD | |
2169 | gfreduce mr; | |
2170 | } gfreduce_pyobj; | |
2171 | ||
2172 | #define GFREDUCE_PY(o) (&((gfreduce_pyobj *)(o))->mr) | |
2173 | ||
2174 | static PyObject *grmeth_exp(PyObject *me, PyObject *arg) | |
2175 | { | |
2176 | PyObject *rc = 0; | |
2177 | mp *yy = 0, *zz = 0; | |
2178 | ||
2179 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convgf, &yy, convgf, &zz)) | |
2180 | goto end; | |
2181 | if (MP_NEGP(zz)) { | |
2182 | if ((yy = gf_modinv_checked(yy, yy, GFREDUCE_PY(me)->p)) == 0) goto end; | |
2183 | zz = mp_neg(zz, zz); | |
2184 | } | |
2185 | rc = gf_pywrap(gfreduce_exp(GFREDUCE_PY(me), MP_NEW, yy, zz)); | |
2186 | end: | |
2187 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
2188 | return (rc); | |
2189 | } | |
2190 | ||
fbc145f3 MW |
2191 | static PyObject *grmeth_trace(PyObject *me, PyObject *arg) |
2192 | { | |
2193 | PyObject *rc = 0; | |
2194 | mp *xx = 0; | |
2195 | ||
2196 | if (!PyArg_ParseTuple(arg, "O&:trace", convgf, &xx)) goto end; | |
2197 | rc = PyInt_FromLong(gfreduce_trace(GFREDUCE_PY(me), xx)); | |
2198 | end: | |
2199 | if (xx) MP_DROP(xx); | |
2200 | return (rc); | |
2201 | } | |
2202 | ||
2203 | static PyObject *grmeth_halftrace(PyObject *me, PyObject *arg) | |
2204 | { | |
2205 | PyObject *rc = 0; | |
2206 | mp *xx = 0; | |
2207 | ||
2208 | if (!PyArg_ParseTuple(arg, "O&:halftrace", convgf, &xx)) goto end; | |
2209 | rc = gf_pywrap(gfreduce_halftrace(GFREDUCE_PY(me), MP_NEW, xx)); | |
2210 | end: | |
2211 | if (xx) MP_DROP(xx); | |
2212 | return (rc); | |
2213 | } | |
2214 | ||
2215 | static PyObject *grmeth_sqrt(PyObject *me, PyObject *arg) | |
2216 | { | |
2217 | PyObject *rc = 0; | |
2218 | mp *xx = 0, *yy; | |
2219 | ||
2220 | if (!PyArg_ParseTuple(arg, "O&:sqrt", convgf, &xx)) goto end; | |
2221 | if ((yy = gfreduce_sqrt(GFREDUCE_PY(me), MP_NEW, xx)) == 0) | |
2222 | VALERR("no modular square root"); | |
2223 | rc = gf_pywrap(yy); | |
2224 | end: | |
2225 | if (xx) MP_DROP(xx); | |
2226 | return (rc); | |
2227 | } | |
2228 | ||
2229 | static PyObject *grmeth_quadsolve(PyObject *me, PyObject *arg) | |
2230 | { | |
2231 | PyObject *rc = 0; | |
2232 | mp *xx = 0, *yy; | |
2233 | ||
2234 | if (!PyArg_ParseTuple(arg, "O&:quadsolve", convgf, &xx)) goto end; | |
2235 | if ((yy = gfreduce_quadsolve(GFREDUCE_PY(me), MP_NEW, xx)) == 0) | |
2236 | VALERR("no solution found"); | |
2237 | rc = gf_pywrap(yy); | |
2238 | end: | |
2239 | if (xx) MP_DROP(xx); | |
2240 | return (rc); | |
2241 | } | |
2242 | ||
d7ab1bab | 2243 | static PyObject *grmeth_reduce(PyObject *me, PyObject *arg) |
2244 | { | |
2245 | PyObject *z = 0; | |
2246 | mp *yy = 0; | |
2247 | ||
2248 | if (!PyArg_ParseTuple(arg, "O&:reduce", convgf, &yy)) goto end; | |
2249 | z = gf_pywrap(gfreduce_do(GFREDUCE_PY(me), MP_NEW, yy)); | |
2250 | end: | |
2251 | return (z); | |
2252 | } | |
2253 | ||
2254 | static void gfreduce_pydealloc(PyObject *me) | |
2255 | { | |
2256 | gfreduce_destroy(GFREDUCE_PY(me)); | |
3aa33042 | 2257 | FREEOBJ(me); |
d7ab1bab | 2258 | } |
2259 | ||
2260 | static PyObject *gfreduce_pynew(PyTypeObject *ty, | |
2261 | PyObject *arg, PyObject *kw) | |
2262 | { | |
2263 | gfreduce_pyobj *mr = 0; | |
2264 | gfreduce r; | |
827f89d7 | 2265 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 2266 | mp *xx = 0; |
2267 | ||
827f89d7 | 2268 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convgf, &xx)) |
d7ab1bab | 2269 | goto end; |
2270 | if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!"); | |
2271 | gfreduce_create(&r, xx); | |
2272 | mr = (gfreduce_pyobj *)ty->tp_alloc(ty, 0); | |
2273 | mr->mr = r; | |
2274 | end: | |
2275 | if (xx) MP_DROP(xx); | |
2276 | return ((PyObject *)mr); | |
2277 | } | |
2278 | ||
2279 | static PyObject *grget_m(PyObject *me, void *hunoz) | |
2280 | { return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); } | |
2281 | ||
2282 | static PyGetSetDef gfreduce_pygetset[] = { | |
2283 | #define GETSETNAME(op, name) gr##op##_##name | |
2284 | GET (m, "R.m -> reduction polynomial") | |
2285 | #undef GETSETNAME | |
2286 | { 0 } | |
2287 | }; | |
2288 | ||
2289 | static PyMethodDef gfreduce_pymethods[] = { | |
2290 | #define METHNAME(name) grmeth_##name | |
2291 | METH (reduce, "R.reduce(X) -> X mod B.m") | |
fbc145f3 MW |
2292 | METH (trace, "R.trace(X) -> Tr(X) = x + x^2 + ... + x^{2^{m - 1}}") |
2293 | METH (halftrace, "R.halftrace(X) -> x + x^{2^2} + ... + x^{2^{m - 1}}") | |
2294 | METH (sqrt, "R.sqrt(X) -> Y where Y^2 = X mod R") | |
2295 | METH (quadsolve, "R.quadsolve(X) -> Y where Y^2 + Y = X mod R") | |
d7ab1bab | 2296 | METH (exp, "R.exp(X, N) -> X^N mod B.m") |
2297 | #undef METHNAME | |
2298 | { 0 } | |
2299 | }; | |
2300 | ||
2301 | static PyTypeObject *gfreduce_pytype, gfreduce_pytype_skel = { | |
6d4db0bf | 2302 | PyObject_HEAD_INIT(0) 0, /* Header */ |
c461c9b3 | 2303 | "GFReduce", /* @tp_name@ */ |
d7ab1bab | 2304 | sizeof(gfreduce_pyobj), /* @tp_basicsize@ */ |
2305 | 0, /* @tp_itemsize@ */ | |
2306 | ||
2307 | gfreduce_pydealloc, /* @tp_dealloc@ */ | |
2308 | 0, /* @tp_print@ */ | |
2309 | 0, /* @tp_getattr@ */ | |
2310 | 0, /* @tp_setattr@ */ | |
2311 | 0, /* @tp_compare@ */ | |
2312 | 0, /* @tp_repr@ */ | |
2313 | 0, /* @tp_as_number@ */ | |
2314 | 0, /* @tp_as_sequence@ */ | |
2315 | 0, /* @tp_as_mapping@ */ | |
2316 | 0, /* @tp_hash@ */ | |
2317 | 0, /* @tp_call@ */ | |
2318 | 0, /* @tp_str@ */ | |
2319 | 0, /* @tp_getattro@ */ | |
2320 | 0, /* @tp_setattro@ */ | |
2321 | 0, /* @tp_as_buffer@ */ | |
2322 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2323 | Py_TPFLAGS_BASETYPE, | |
2324 | ||
2325 | /* @tp_doc@ */ | |
06cd26e8 | 2326 | "GFReduce(N): a context for reduction modulo sparse polynomials.", |
d7ab1bab | 2327 | |
2328 | 0, /* @tp_traverse@ */ | |
2329 | 0, /* @tp_clear@ */ | |
2330 | 0, /* @tp_richcompare@ */ | |
2331 | 0, /* @tp_weaklistoffset@ */ | |
2332 | 0, /* @tp_iter@ */ | |
963a6148 | 2333 | 0, /* @tp_iternext@ */ |
d7ab1bab | 2334 | gfreduce_pymethods, /* @tp_methods@ */ |
2335 | 0, /* @tp_members@ */ | |
2336 | gfreduce_pygetset, /* @tp_getset@ */ | |
2337 | 0, /* @tp_base@ */ | |
2338 | 0, /* @tp_dict@ */ | |
2339 | 0, /* @tp_descr_get@ */ | |
2340 | 0, /* @tp_descr_set@ */ | |
2341 | 0, /* @tp_dictoffset@ */ | |
2342 | 0, /* @tp_init@ */ | |
2343 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2344 | gfreduce_pynew, /* @tp_new@ */ | |
3aa33042 | 2345 | 0, /* @tp_free@ */ |
d7ab1bab | 2346 | 0 /* @tp_is_gc@ */ |
2347 | }; | |
2348 | ||
2349 | /*----- Normal/poly transformation ----------------------------------------*/ | |
2350 | ||
2351 | typedef struct gfn_pyobj { | |
2352 | PyObject_HEAD | |
2353 | mp *p; | |
2354 | gfn ntop, pton; | |
2355 | } gfn_pyobj; | |
2356 | ||
2357 | static PyTypeObject *gfn_pytype, gfn_pytype_skel; | |
2358 | ||
2359 | #define GFN_P(o) (((gfn_pyobj *)(o))->p) | |
2360 | #define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton) | |
2361 | #define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop) | |
2362 | ||
2363 | static PyObject *gfn_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
2364 | { | |
2365 | mp *p = 0, *beta = 0; | |
2366 | gfn_pyobj *gg = 0; | |
827f89d7 | 2367 | static const char *const kwlist[] = { "p", "beta", 0 }; |
d7ab1bab | 2368 | |
827f89d7 | 2369 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", KWLIST, |
d7ab1bab | 2370 | convgf, &p, convgf, &beta)) |
2371 | goto end; | |
2372 | gg = PyObject_New(gfn_pyobj, ty); | |
79ac6c22 | 2373 | gg->p = 0; |
d7ab1bab | 2374 | if (gfn_create(p, beta, &gg->ntop, &gg->pton)) { |
79ac6c22 | 2375 | Py_DECREF(gg); |
d7ab1bab | 2376 | gg = 0; |
2377 | VALERR("can't invert transformation matrix"); | |
2378 | } | |
2379 | gg->p = MP_COPY(p); | |
2380 | end: | |
2381 | mp_drop(p); | |
2382 | mp_drop(beta); | |
2383 | return ((PyObject *)gg); | |
2384 | } | |
2385 | ||
2386 | static PyObject *gfnget_p(PyObject *me, void *hunoz) | |
2387 | { return (gf_pywrap(MP_COPY(GFN_P(me)))); } | |
2388 | ||
2389 | static PyObject *gfnget_beta(PyObject *me, void *hunoz) | |
2390 | { | |
2391 | gfn *n = GFN_NTOP(me); | |
2392 | mp *x = n->r[n->n - 1]; | |
2393 | return (gf_pywrap(MP_COPY(x))); | |
2394 | } | |
2395 | ||
2396 | #define XFORMOP(name, NAME) \ | |
2397 | static PyObject *gfnmeth_##name(PyObject *me, PyObject *arg) \ | |
2398 | { \ | |
2399 | mp *xx = 0; \ | |
2400 | mp *z = 0; \ | |
2401 | \ | |
2402 | if (!PyArg_ParseTuple(arg, "O&:" #name, convgf, &xx)) goto end; \ | |
2403 | z = gfn_transform(GFN_##NAME(me), MP_NEW, xx); \ | |
2404 | end: \ | |
2405 | mp_drop(xx); \ | |
2406 | if (!z) return (0); \ | |
62ce807d | 2407 | return (gf_pywrap(z)); \ |
d7ab1bab | 2408 | } |
2409 | XFORMOP(pton, PTON) | |
2410 | XFORMOP(ntop, NTOP) | |
2411 | #undef XFORMOP | |
2412 | ||
2413 | static void gfn_pydealloc(PyObject *me) | |
2414 | { | |
79ac6c22 | 2415 | if (GFN_P(me)) { |
b76bb841 | 2416 | MP_DROP(GFN_P(me)); |
79ac6c22 MW |
2417 | gfn_destroy(GFN_PTON(me)); |
2418 | gfn_destroy(GFN_NTOP(me)); | |
2419 | } | |
3aa33042 | 2420 | FREEOBJ(me); |
d7ab1bab | 2421 | } |
2422 | ||
2423 | static PyGetSetDef gfn_pygetset[] = { | |
2424 | #define GETSETNAME(op, name) gfn##op##_##name | |
2425 | GET (p, "X.p -> polynomial basis, as polynomial") | |
2426 | GET (beta, "X.beta -> normal basis element, in poly form") | |
2427 | #undef GETSETNAME | |
2428 | { 0 } | |
2429 | }; | |
2430 | ||
2431 | static PyMethodDef gfn_pymethods[] = { | |
2432 | #define METHNAME(name) gfnmeth_##name | |
2433 | METH (pton, "X.pton(A) -> normal-basis representation of A") | |
2434 | METH (ntop, "X.ntop(A) -> polynomial-basis representation of A") | |
2435 | #undef METHNAME | |
2436 | { 0 } | |
2437 | }; | |
2438 | ||
2439 | static PyTypeObject gfn_pytype_skel = { | |
6d4db0bf | 2440 | PyObject_HEAD_INIT(0) 0, /* Header */ |
c461c9b3 | 2441 | "GFN", /* @tp_name@ */ |
d7ab1bab | 2442 | sizeof(gfn_pyobj), /* @tp_basicsize@ */ |
2443 | 0, /* @tp_itemsize@ */ | |
2444 | ||
2445 | gfn_pydealloc, /* @tp_dealloc@ */ | |
2446 | 0, /* @tp_print@ */ | |
2447 | 0, /* @tp_getattr@ */ | |
2448 | 0, /* @tp_setattr@ */ | |
2449 | 0, /* @tp_compare@ */ | |
2450 | 0, /* @tp_repr@ */ | |
2451 | 0, /* @tp_as_number@ */ | |
2452 | 0, /* @tp_as_sequence@ */ | |
2453 | 0, /* @tp_as_mapping@ */ | |
2454 | 0, /* @tp_hash@ */ | |
2455 | 0, /* @tp_call@ */ | |
2456 | 0, /* @tp_str@ */ | |
2457 | 0, /* @tp_getattro@ */ | |
2458 | 0, /* @tp_setattro@ */ | |
2459 | 0, /* @tp_as_buffer@ */ | |
2460 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2461 | Py_TPFLAGS_BASETYPE, | |
2462 | ||
2463 | /* @tp_doc@ */ | |
06cd26e8 MW |
2464 | "GFN(P, BETA): an object for transforming elements of binary fields\n\ |
2465 | between polynomial and normal basis representations.", | |
d7ab1bab | 2466 | |
2467 | 0, /* @tp_traverse@ */ | |
2468 | 0, /* @tp_clear@ */ | |
2469 | 0, /* @tp_richcompare@ */ | |
2470 | 0, /* @tp_weaklistoffset@ */ | |
2471 | 0, /* @tp_iter@ */ | |
963a6148 | 2472 | 0, /* @tp_iternext@ */ |
d7ab1bab | 2473 | gfn_pymethods, /* @tp_methods@ */ |
2474 | 0, /* @tp_members@ */ | |
2475 | gfn_pygetset, /* @tp_getset@ */ | |
2476 | 0, /* @tp_base@ */ | |
2477 | 0, /* @tp_dict@ */ | |
2478 | 0, /* @tp_descr_get@ */ | |
2479 | 0, /* @tp_descr_set@ */ | |
2480 | 0, /* @tp_dictoffset@ */ | |
2481 | 0, /* @tp_init@ */ | |
2482 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2483 | gfn_pynew, /* @tp_new@ */ | |
3aa33042 | 2484 | 0, /* @tp_free@ */ |
d7ab1bab | 2485 | 0 /* @tp_is_gc@ */ |
2486 | }; | |
2487 | ||
2488 | /*----- Glue --------------------------------------------------------------*/ | |
2489 | ||
2490 | static PyMethodDef methods[] = { | |
2491 | #define METHNAME(func) meth_##func | |
b2687a0a | 2492 | KWMETH(_MP_fromstring, "\ |
1df8d5fe | 2493 | fromstring(STR, [radix = 0]) -> (X, REST)\n\ |
d7ab1bab | 2494 | \n\ |
2495 | Parse STR as a large integer, according to radix. If radix is zero,\n\ | |
2496 | read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\ | |
2497 | or `R_' for other radix R.") | |
b2687a0a | 2498 | KWMETH(_GF_fromstring, "\ |
1df8d5fe | 2499 | fromstring(STR, [radix = 0]) -> (X, REST)\n\ |
d7ab1bab | 2500 | \n\ |
2501 | Parse STR as a binary polynomial, according to radix. If radix is zero,\n\ | |
2502 | read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\ | |
2503 | or `R_' for other radix R.") | |
9f49c854 MW |
2504 | METH (_MP_factorial, "\ |
2505 | factorial(I) -> I!: compute factorial") | |
6313f40e MW |
2506 | METH (_MP_fibonacci, "\ |
2507 | fibonacci(I) -> F(I): compute Fibonacci number") | |
d7ab1bab | 2508 | METH (_MP_loadl, "\ |
2509 | loadl(STR) -> X: read little-endian bytes") | |
2510 | METH (_MP_loadb, "\ | |
2511 | loadb(STR) -> X: read big-endian bytes") | |
2512 | METH (_MP_loadl2c, "\ | |
2513 | loadl2c(STR) -> X: read little-endian bytes, two's complement") | |
2514 | METH (_MP_loadb2c, "\ | |
2515 | loadb2c(STR) -> X: read big-endian bytes, two's complement") | |
2516 | METH (_MP_frombuf, "\ | |
2517 | frombuf(STR) -> (X, REST): read buffer format") | |
d7ab1bab | 2518 | METH (_GF_loadl, "\ |
2519 | loadl(STR) -> X: read little-endian bytes") | |
2520 | METH (_GF_loadb, "\ | |
2521 | loadb(STR) -> X: read big-endian bytes") | |
2522 | METH (_GF_frombuf, "\ | |
2523 | frombuf(STR) -> (X, REST): read buffer format") | |
2524 | #undef METHNAME | |
2525 | { 0 } | |
2526 | }; | |
2527 | ||
2528 | void mp_pyinit(void) | |
2529 | { | |
2530 | INITTYPE(mp, root); | |
2531 | INITTYPE(gf, root); | |
32507e35 | 2532 | INITTYPE(mpmul, root); |
d7ab1bab | 2533 | INITTYPE(mpmont, root); |
2534 | INITTYPE(mpbarrett, root); | |
2535 | INITTYPE(mpreduce, root); | |
2536 | INITTYPE(mpcrt, root); | |
2537 | INITTYPE(gfreduce, root); | |
2538 | INITTYPE(gfn, root); | |
2539 | addmethods(methods); | |
2540 | } | |
2541 | ||
2542 | void mp_pyinsert(PyObject *mod) | |
2543 | { | |
2544 | INSERT("MP", mp_pytype); | |
32507e35 | 2545 | INSERT("MPMul", mpmul_pytype); |
d7ab1bab | 2546 | INSERT("MPMont", mpmont_pytype); |
2547 | INSERT("MPBarrett", mpbarrett_pytype); | |
2548 | INSERT("MPReduce", mpreduce_pytype); | |
2549 | INSERT("MPCRT", mpcrt_pytype); | |
2550 | INSERT("GF", gf_pytype); | |
2551 | INSERT("GFReduce", gfreduce_pytype); | |
2552 | INSERT("GFN", gfn_pytype); | |
2553 | } | |
2554 | ||
2555 | /*----- That's all, folks -------------------------------------------------*/ |