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 | ||
a157093f MW |
727 | #define BUFOP(ty) \ |
728 | static PyObject *ty##meth_frombuf(PyObject *me, PyObject *arg) \ | |
d7ab1bab | 729 | { \ |
730 | buf b; \ | |
731 | char *p; \ | |
6b54260d | 732 | Py_ssize_t sz; \ |
d7ab1bab | 733 | PyObject *rc = 0; \ |
734 | mp *x; \ | |
735 | \ | |
a157093f | 736 | if (!PyArg_ParseTuple(arg, "s#:frombuf", &p, &sz)) goto end; \ |
d7ab1bab | 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 | } | |
a157093f MW |
744 | BUFOP(mp) |
745 | BUFOP(gf) | |
d7ab1bab | 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 | ||
a157093f MW |
779 | static PyObject *mpmeth_fromstring(PyObject *me, |
780 | PyObject *arg, PyObject *kw) | |
f281293c MW |
781 | { |
782 | int r = 0; | |
783 | char *p; | |
784 | Py_ssize_t len; | |
785 | PyObject *z = 0; | |
786 | mp *zz; | |
787 | mptext_stringctx sc; | |
a157093f | 788 | static const char *const kwlist[] = { "x", "radix", 0 }; |
f281293c | 789 | |
a157093f MW |
790 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "s#|i:fromstring", KWLIST, |
791 | &p, &len, &r)) | |
f281293c MW |
792 | goto end; |
793 | if (!good_radix_p(r, 1)) VALERR("bad radix"); | |
794 | sc.buf = p; sc.lim = p + len; | |
795 | if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0) | |
796 | VALERR("bad integer"); | |
797 | z = Py_BuildValue("(Ns#)", mp_pywrap(zz), | |
798 | sc.buf, (Py_ssize_t)(sc.lim - sc.buf)); | |
799 | end: | |
800 | return (z); | |
801 | } | |
802 | ||
a157093f | 803 | static PyObject *mpmeth_factorial(PyObject *me, PyObject *arg) |
f281293c MW |
804 | { |
805 | unsigned long i; | |
806 | mp *x; | |
a157093f | 807 | if (!PyArg_ParseTuple(arg, "O&:factorial", convulong, &i)) return (0); |
f281293c MW |
808 | x = mp_factorial(i); |
809 | return mp_pywrap(x); | |
810 | } | |
811 | ||
a157093f | 812 | static PyObject *mpmeth_fibonacci(PyObject *me, PyObject *arg) |
f281293c MW |
813 | { |
814 | long i; | |
815 | mp *x; | |
a157093f | 816 | if (!PyArg_ParseTuple(arg, "l:fibonacci", &i)) return (0); |
f281293c MW |
817 | x = mp_fibonacci(i); |
818 | return mp_pywrap(x); | |
819 | } | |
820 | ||
a157093f MW |
821 | #define LOADOP(pre, name) \ |
822 | static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \ | |
f281293c MW |
823 | { \ |
824 | char *p; \ | |
825 | Py_ssize_t len; \ | |
a157093f | 826 | if (!PyArg_ParseTuple(arg, "s#:" #name, &p, &len)) return (0); \ |
f281293c MW |
827 | return (pre##_pywrap(mp_##name(MP_NEW, p, len))); \ |
828 | } | |
a157093f MW |
829 | LOADOP(mp, loadl) |
830 | LOADOP(mp, loadb) | |
831 | LOADOP(mp, loadl2c) | |
832 | LOADOP(mp, loadb2c) | |
833 | LOADOP(gf, loadl) | |
834 | LOADOP(gf, loadb) | |
f281293c MW |
835 | #undef LOADOP |
836 | ||
d7ab1bab | 837 | static PyObject *mpget_nbits(PyObject *me, void *hunoz) |
838 | { return (PyInt_FromLong(mp_bits(MP_X(me)))); } | |
839 | ||
840 | static PyObject *mpget_noctets(PyObject *me, void *hunoz) | |
841 | { return (PyInt_FromLong(mp_octets(MP_X(me)))); } | |
842 | ||
843 | static PyObject *mpget_noctets2c(PyObject *me, void *hunoz) | |
844 | { return (PyInt_FromLong(mp_octets2c(MP_X(me)))); } | |
845 | ||
c90f712e | 846 | static const PyGetSetDef mp_pygetset[] = { |
d7ab1bab | 847 | #define GETSETNAME(op, func) mp##op##_##func |
848 | GET (nbits, "X.nbits -> bit length of X") | |
849 | GET (noctets, "X.noctets -> octet length of X") | |
850 | GET (noctets2c, "X.noctets2c -> two's complement octet length of X") | |
851 | #undef GETSETNAME | |
852 | { 0 } | |
853 | }; | |
854 | ||
c90f712e | 855 | static const PyMethodDef mp_pymethods[] = { |
d7ab1bab | 856 | #define METHNAME(func) mpmeth_##func |
c3060669 | 857 | METH (jacobi, "X.jacobi(Y) -> Jacobi symbol (Y|X) (NB inversion!)") |
d7ab1bab | 858 | METH (setbit, "X.setbit(N) -> X with bit N set") |
859 | METH (clearbit, "X.clearbit(N) -> X with bit N clear") | |
860 | METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X") | |
861 | METH (odd, "X.odd() -> S, T where X = 2^S T with T odd") | |
862 | METH (sqr, "X.sqr() -> X^2") | |
863 | METH (sqrt, "X.sqrt() -> largest integer <= sqrt(X)") | |
864 | METH (gcd, "X.gcd(Y) -> gcd(X, Y)") | |
d96c882e MW |
865 | METH (gcdx, "X.gcdx(Y) -> (gcd(X, Y), U, V) " |
866 | "with X U + Y V = gcd(X, Y)") | |
d7ab1bab | 867 | METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X") |
868 | METH (modsqrt, "X.modsqrt(Y) -> square root of Y mod X, if X prime") | |
d96c882e MW |
869 | METH (leastcongruent, "X.leastcongruent(B, M) -> " |
870 | "smallest Z >= B with Z == X (mod M)") | |
9edc275a | 871 | KWMETH(primep, "X.primep([rng = rand]) -> X is prime?") |
1df8d5fe MW |
872 | KWMETH(tostring, "X.tostring([radix = 10]) -> STR") |
873 | KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes") | |
874 | KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes") | |
d96c882e MW |
875 | KWMETH(storel2c, "X.storel2c([len = -1]) -> " |
876 | "little-endian bytes, two's complement") | |
877 | KWMETH(storeb2c, "X.storeb2c([len = -1]) -> " | |
878 | "big-endian bytes, two's complement") | |
d7ab1bab | 879 | METH (tobuf, "X.tobuf() -> buffer format") |
a157093f MW |
880 | KWSMTH(fromstring, "fromstring(STR, [radix = 0]) -> (X, REST)\n" |
881 | " Parse STR as a large integer, according to RADIX. If RADIX is\n" | |
882 | " zero, read a prefix from STR to decide radix: allow `0b' for binary,\n" | |
883 | " `0' or `0o' for octal, `0x' for hex, or `R_' for other radix R.") | |
884 | SMTH (factorial, "factorial(I) -> I!: compute factorial") | |
885 | SMTH (fibonacci, "fibonacci(I) -> F(I): compute Fibonacci number") | |
886 | SMTH (loadl, "loadl(STR) -> X: read little-endian bytes") | |
887 | SMTH (loadb, "loadb(STR) -> X: read big-endian bytes") | |
888 | SMTH (loadl2c, "loadl2c(STR) -> X: " | |
889 | "read little-endian bytes, two's complement") | |
890 | SMTH (loadb2c, "loadb2c(STR) -> X: " | |
891 | "read big-endian bytes, two's complement") | |
892 | SMTH (frombuf, "frombuf(STR) -> (X, REST): read buffer format") | |
d7ab1bab | 893 | #undef METHNAME |
894 | { 0 } | |
895 | }; | |
896 | ||
c90f712e | 897 | static const PyNumberMethods mp_pynumber = { |
d7ab1bab | 898 | mp_pyadd, /* @nb_add@ */ |
899 | mp_pysub, /* @nb_subtract@ */ | |
900 | mp_pymul, /* @nb_multiply@ */ | |
901 | 0, /* @nb_divide@ */ | |
902 | mp_pymod, /* @nb_remainder@ */ | |
903 | mp_pydivmod, /* @nb_divmod@ */ | |
904 | mp_pyexp, /* @nb_power@ */ | |
905 | mp_pyneg, /* @nb_negative@ */ | |
906 | mp_pyid, /* @nb_positive@ */ | |
907 | mp_pyabs, /* @nb_absolute@ */ | |
908 | mp_pynonzerop, /* @nb_nonzero@ */ | |
909 | mp_pynot2c, /* @nb_invert@ */ | |
910 | mp_pylsl2c, /* @nb_lshift@ */ | |
911 | mp_pylsr2c, /* @nb_rshift@ */ | |
912 | mp_pyand2c, /* @nb_and@ */ | |
913 | mp_pyxor2c, /* @nb_xor@ */ | |
914 | mp_pyor2c, /* @nb_or@ */ | |
915 | mp_pycoerce, /* @nb_coerce@ */ | |
916 | mp_pyint, /* @nb_int@ */ | |
917 | mp_pylong, /* @nb_long@ */ | |
918 | mp_pyfloat, /* @nb_float@ */ | |
919 | mp_pyoct, /* @nb_oct@ */ | |
920 | mp_pyhex, /* @nb_hex@ */ | |
921 | ||
922 | 0, /* @nb_inplace_add@ */ | |
923 | 0, /* @nb_inplace_subtract@ */ | |
924 | 0, /* @nb_inplace_multiply@ */ | |
925 | 0, /* @nb_inplace_divide@ */ | |
926 | 0, /* @nb_inplace_remainder@ */ | |
927 | 0, /* @nb_inplace_power@ */ | |
928 | 0, /* @nb_inplace_lshift@ */ | |
929 | 0, /* @nb_inplace_rshift@ */ | |
930 | 0, /* @nb_inplace_and@ */ | |
931 | 0, /* @nb_inplace_xor@ */ | |
932 | 0, /* @nb_inplace_or@ */ | |
933 | ||
934 | mp_pydiv, /* @nb_floor_divide@ */ | |
935 | 0, /* @nb_true_divide@ */ | |
936 | 0, /* @nb_inplace_floor_divide@ */ | |
937 | 0, /* @nb_inplace_true_divide@ */ | |
938 | }; | |
939 | ||
940 | static PyTypeObject mp_pytype_skel = { | |
6d4db0bf | 941 | PyObject_HEAD_INIT(0) 0, /* Header */ |
c461c9b3 | 942 | "MP", /* @tp_name@ */ |
d7ab1bab | 943 | sizeof(mp_pyobj), /* @tp_basicsize@ */ |
944 | 0, /* @tp_itemsize@ */ | |
945 | ||
946 | mp_pydealloc, /* @tp_dealloc@ */ | |
947 | 0, /* @tp_print@ */ | |
948 | 0, /* @tp_getattr@ */ | |
949 | 0, /* @tp_setattr@ */ | |
950 | mp_pycompare, /* @tp_compare@ */ | |
951 | mp_pyrepr, /* @tp_repr@ */ | |
c90f712e | 952 | PYNUMBER(mp), /* @tp_as_number@ */ |
d7ab1bab | 953 | 0, /* @tp_as_sequence@ */ |
954 | 0, /* @tp_as_mapping@ */ | |
955 | mp_pyhash, /* @tp_hash@ */ | |
956 | 0, /* @tp_call@ */ | |
957 | mp_pystr, /* @tp_str@ */ | |
958 | 0, /* @tp_getattro@ */ | |
959 | 0, /* @tp_setattro@ */ | |
960 | 0, /* @tp_as_buffer@ */ | |
961 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
962 | Py_TPFLAGS_CHECKTYPES | | |
963 | Py_TPFLAGS_BASETYPE, | |
964 | ||
965 | /* @tp_doc@ */ | |
d96c882e MW |
966 | "Multiprecision integers, similar to `long' but more efficient and\n" |
967 | "versatile. Support all the standard arithmetic operations, with\n" | |
968 | "implicit conversions from `PrimeFilter', and other objects which\n" | |
969 | "convert to `long'.\n" | |
970 | "\n" | |
971 | "Constructor MP(X, [radix = R]) attempts to convert X to an `MP'. If\n" | |
972 | "X is a string, it's read in radix-R form, or we look for a prefix\n" | |
973 | "if R = 0. Other acceptable things are field elements, elliptic curve\n" | |
974 | "points, group elements, Python `int' and `long' objects, and anything\n" | |
975 | "with an integer conversion.\n" | |
976 | "\n" | |
977 | "Notes:\n" | |
978 | "\n" | |
979 | " * Use `//' for integer division: `/' gives exact rational division.", | |
d7ab1bab | 980 | |
981 | 0, /* @tp_traverse@ */ | |
982 | 0, /* @tp_clear@ */ | |
983 | 0, /* @tp_richcompare@ */ | |
984 | 0, /* @tp_weaklistoffset@ */ | |
985 | 0, /* @tp_iter@ */ | |
963a6148 | 986 | 0, /* @tp_iternext@ */ |
c90f712e | 987 | PYMETHODS(mp), /* @tp_methods@ */ |
d7ab1bab | 988 | 0, /* @tp_members@ */ |
c90f712e | 989 | PYGETSET(mp), /* @tp_getset@ */ |
d7ab1bab | 990 | 0, /* @tp_base@ */ |
991 | 0, /* @tp_dict@ */ | |
992 | 0, /* @tp_descr_get@ */ | |
993 | 0, /* @tp_descr_set@ */ | |
994 | 0, /* @tp_dictoffset@ */ | |
995 | 0, /* @tp_init@ */ | |
996 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
997 | mp_pynew, /* @tp_new@ */ | |
3aa33042 | 998 | 0, /* @tp_free@ */ |
d7ab1bab | 999 | 0 /* @tp_is_gc@ */ |
1000 | }; | |
1001 | ||
32507e35 MW |
1002 | /*----- Products of small integers ----------------------------------------*/ |
1003 | ||
1004 | typedef struct mpmul_pyobj { | |
1005 | PyObject_HEAD | |
1006 | int livep; | |
1007 | mpmul mm; | |
1008 | } mpmul_pyobj; | |
1009 | ||
1010 | #define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep) | |
1011 | #define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm) | |
1012 | ||
1013 | static void mpmul_pydealloc(PyObject *me) | |
1014 | { | |
1015 | if (MPMUL_LIVEP(me)) | |
1016 | mp_drop(mpmul_done(MPMUL_PY(me))); | |
1017 | FREEOBJ(me); | |
1018 | } | |
1019 | ||
1020 | static PyObject *mmmeth_factor(PyObject *me, PyObject *arg) | |
d7ab1bab | 1021 | { |
d7ab1bab | 1022 | PyObject *q, *i; |
1023 | mp *x; | |
1024 | ||
32507e35 | 1025 | if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid"); |
c51a597d | 1026 | if (PyTuple_GET_SIZE(arg) != 1) |
d7ab1bab | 1027 | i = PyObject_GetIter(arg); |
32507e35 | 1028 | else { |
c51a597d | 1029 | if ((q = PyTuple_GET_ITEM(arg, 0)) == 0) goto end; |
d7ab1bab | 1030 | if ((i = PyObject_GetIter(q)) == 0) { |
1031 | PyErr_Clear(); /* that's ok */ | |
1032 | i = PyObject_GetIter(arg); | |
1033 | } | |
1034 | } | |
32507e35 | 1035 | if (!i) goto end; |
d7ab1bab | 1036 | while ((q = PyIter_Next(i)) != 0) { |
1037 | x = getmp(q); Py_DECREF(q); if (!x) { | |
d7ab1bab | 1038 | Py_DECREF(i); |
32507e35 | 1039 | goto end; |
d7ab1bab | 1040 | } |
32507e35 | 1041 | mpmul_add(MPMUL_PY(me), x); |
d7ab1bab | 1042 | MP_DROP(x); |
1043 | } | |
d7ab1bab | 1044 | Py_DECREF(i); |
32507e35 MW |
1045 | RETURN_ME; |
1046 | end: | |
1047 | return (0); | |
1048 | } | |
1049 | ||
1050 | static PyObject *mmmeth_done(PyObject *me, PyObject *arg) | |
1051 | { | |
1052 | mp *x; | |
1053 | ||
1054 | if (!PyArg_ParseTuple(arg, ":done")) goto end; | |
1055 | if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid"); | |
1056 | x = mpmul_done(MPMUL_PY(me)); | |
1057 | MPMUL_LIVEP(me) = 0; | |
d7ab1bab | 1058 | return (mp_pywrap(x)); |
32507e35 MW |
1059 | end: |
1060 | return (0); | |
d7ab1bab | 1061 | } |
1062 | ||
32507e35 MW |
1063 | static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) |
1064 | { | |
1065 | mpmul_pyobj *mm; | |
1066 | ||
1067 | if (kw) TYERR("keyword arguments not allowed here"); | |
1068 | mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0); | |
1069 | mpmul_init(&mm->mm); | |
1070 | mm->livep = 1; | |
1071 | if (mmmeth_factor((PyObject *)mm, arg) == 0) { | |
1072 | Py_DECREF(mm); | |
1073 | goto end; | |
d7ab1bab | 1074 | } |
32507e35 MW |
1075 | return ((PyObject *)mm); |
1076 | end: | |
1077 | return (0); | |
1078 | } | |
1079 | ||
1080 | static PyObject *mmget_livep(PyObject *me, void *hunoz) | |
1081 | { return (getbool(MPMUL_LIVEP(me))); } | |
1082 | ||
c90f712e | 1083 | static const PyGetSetDef mpmul_pygetset[] = { |
32507e35 | 1084 | #define GETSETNAME(op, name) mm##op##_##name |
d96c882e | 1085 | GET (livep, "MM.livep -> flag: object still valid?") |
32507e35 MW |
1086 | #undef GETSETNAME |
1087 | { 0 } | |
1088 | }; | |
1089 | ||
c90f712e | 1090 | static const PyMethodDef mpmul_pymethods[] = { |
32507e35 | 1091 | #define METHNAME(name) mmmeth_##name |
d96c882e MW |
1092 | METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)") |
1093 | METH (done, "MM.done() -> PRODUCT") | |
32507e35 MW |
1094 | #undef METHNAME |
1095 | { 0 } | |
1096 | }; | |
1097 | ||
1098 | static PyTypeObject *mpmul_pytype, mpmul_pytype_skel = { | |
1099 | PyObject_HEAD_INIT(0) 0, /* Header */ | |
c461c9b3 | 1100 | "MPMul", /* @tp_name@ */ |
32507e35 MW |
1101 | sizeof(mpmul_pyobj), /* @tp_basicsize@ */ |
1102 | 0, /* @tp_itemsize@ */ | |
1103 | ||
1104 | mpmul_pydealloc, /* @tp_dealloc@ */ | |
1105 | 0, /* @tp_print@ */ | |
1106 | 0, /* @tp_getattr@ */ | |
1107 | 0, /* @tp_setattr@ */ | |
1108 | 0, /* @tp_compare@ */ | |
1109 | 0, /* @tp_repr@ */ | |
1110 | 0, /* @tp_as_number@ */ | |
1111 | 0, /* @tp_as_sequence@ */ | |
1112 | 0, /* @tp_as_mapping@ */ | |
1113 | 0, /* @tp_hash@ */ | |
1114 | 0, /* @tp_call@ */ | |
1115 | 0, /* @tp_str@ */ | |
1116 | 0, /* @tp_getattro@ */ | |
1117 | 0, /* @tp_setattro@ */ | |
1118 | 0, /* @tp_as_buffer@ */ | |
1119 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1120 | Py_TPFLAGS_BASETYPE, | |
1121 | ||
1122 | /* @tp_doc@ */ | |
d96c882e | 1123 | "MPMul(N_0, N_1, ....): an object for multiplying many small integers.", |
32507e35 MW |
1124 | |
1125 | 0, /* @tp_traverse@ */ | |
1126 | 0, /* @tp_clear@ */ | |
1127 | 0, /* @tp_richcompare@ */ | |
1128 | 0, /* @tp_weaklistoffset@ */ | |
1129 | 0, /* @tp_iter@ */ | |
1130 | 0, /* @tp_iternext@ */ | |
c90f712e | 1131 | PYMETHODS(mpmul), /* @tp_methods@ */ |
32507e35 | 1132 | 0, /* @tp_members@ */ |
c90f712e | 1133 | PYGETSET(mpmul), /* @tp_getset@ */ |
32507e35 MW |
1134 | 0, /* @tp_base@ */ |
1135 | 0, /* @tp_dict@ */ | |
1136 | 0, /* @tp_descr_get@ */ | |
1137 | 0, /* @tp_descr_set@ */ | |
1138 | 0, /* @tp_dictoffset@ */ | |
1139 | 0, /* @tp_init@ */ | |
1140 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1141 | mpmul_pynew, /* @tp_new@ */ | |
1142 | 0, /* @tp_free@ */ | |
1143 | 0 /* @tp_is_gc@ */ | |
1144 | }; | |
d7ab1bab | 1145 | |
1146 | /*----- Montgomery reduction ----------------------------------------------*/ | |
1147 | ||
1148 | typedef struct mpmont_pyobj { | |
1149 | PyObject_HEAD | |
1150 | mpmont mm; | |
1151 | } mpmont_pyobj; | |
1152 | ||
1153 | #define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm) | |
1154 | ||
1155 | static PyObject *mmmeth_int(PyObject *me, PyObject *arg) | |
1156 | { | |
1157 | PyObject *z = 0; | |
1158 | mp *yy = 0; | |
1159 | mpmont *mm = MPMONT_PY(me); | |
1160 | ||
1161 | if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy)) | |
1162 | goto end; | |
1163 | mp_div(0, &yy, yy, mm->m); | |
1164 | z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2)); | |
1165 | end: | |
1166 | if (yy) MP_DROP(yy); | |
1167 | return (z); | |
1168 | } | |
1169 | ||
1170 | static PyObject *mmmeth_mul(PyObject *me, PyObject *arg) | |
1171 | { | |
1172 | PyObject *rc = 0; | |
1173 | mp *yy = 0, *zz = 0; | |
1174 | ||
1175 | if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz)) | |
1176 | goto end; | |
1177 | rc = mp_pywrap(mpmont_mul(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1178 | end: | |
1179 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1180 | return (rc); | |
1181 | } | |
1182 | ||
1183 | static PyObject *mmmeth_exp(PyObject *me, PyObject *arg) | |
1184 | { | |
1185 | PyObject *rc = 0; | |
1186 | mp *yy = 0, *zz = 0; | |
1187 | ||
1188 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1189 | goto end; | |
1190 | if (MP_NEGP(zz)) { | |
1191 | if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end; | |
1192 | zz = mp_neg(zz, zz); | |
1193 | } | |
1194 | rc = mp_pywrap(mpmont_exp(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1195 | end: | |
1196 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1197 | return (rc); | |
1198 | } | |
1199 | ||
1200 | static PyObject *mmmeth_expr(PyObject *me, PyObject *arg) | |
1201 | { | |
1202 | PyObject *rc = 0; | |
1203 | mp *yy = 0, *zz = 0; | |
1204 | ||
1205 | if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz)) | |
1206 | goto end; | |
1207 | if (MP_NEGP(zz)) { | |
1208 | yy = mpmont_reduce(MPMONT_PY(me), yy, yy); | |
1209 | if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end; | |
1210 | yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2); | |
1211 | zz = mp_neg(zz, zz); | |
1212 | } | |
1213 | rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1214 | end: | |
1215 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1216 | return (rc); | |
1217 | } | |
1218 | ||
1219 | static PyObject *mm_mexpr_id(PyObject *me) | |
1220 | { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); } | |
1221 | ||
1222 | static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y) | |
1223 | { | |
1224 | mp *xx = 0, *yy = 0; | |
1225 | mp_expfactor *f = p; | |
1226 | mpmont *mm = MPMONT_PY(me); | |
1227 | ||
1228 | if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0) | |
1229 | goto fail; | |
1230 | if (MP_NEGP(yy)) { | |
1231 | xx = mpmont_reduce(mm, xx, xx); | |
1232 | if ((xx = mp_modinv_checked(xx, xx, yy)) == 0) | |
1233 | goto fail; | |
1234 | xx = mpmont_mul(mm, xx, xx, mm->r2); | |
1235 | yy = mp_neg(yy, yy); | |
1236 | } | |
1237 | f->base = xx; | |
1238 | f->exp = yy; | |
1239 | return (0); | |
1240 | ||
1241 | fail: | |
1242 | mp_drop(xx); mp_drop(yy); | |
1243 | return (-1); | |
1244 | } | |
1245 | ||
1246 | static PyObject *mm_mexpr(PyObject *me, void *v, int n) | |
1247 | { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); } | |
b2687a0a | 1248 | |
d7ab1bab | 1249 | static void mp_mexp_drop(void *p) |
1250 | { | |
1251 | mp_expfactor *f = p; | |
1252 | mp_drop(f->base); | |
1253 | mp_drop(f->exp); | |
1254 | } | |
1255 | ||
1256 | static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg) | |
1257 | { | |
1258 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1259 | mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop); | |
1260 | } | |
1261 | ||
1262 | static PyObject *mp_mexp_id(PyObject *me) | |
1263 | { return mp_pywrap(MP_ONE); } | |
1264 | ||
1265 | static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y) | |
1266 | { | |
1267 | mp *xx = 0, *yy = 0; | |
1268 | mp_expfactor *f = p; | |
1269 | ||
1270 | if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0) | |
1271 | goto fail; | |
1272 | if (MP_NEGP(yy)) { | |
1273 | if ((xx = mp_modinv_checked(xx, xx, yy)) == 0) | |
1274 | goto fail; | |
1275 | yy = mp_neg(yy, yy); | |
1276 | } | |
1277 | f->base = xx; | |
1278 | f->exp = yy; | |
1279 | return (0); | |
1280 | ||
1281 | fail: | |
1282 | mp_drop(xx); mp_drop(yy); | |
1283 | return (-1); | |
1284 | } | |
1285 | ||
1286 | static PyObject *mm_mexp(PyObject *me, void *v, int n) | |
1287 | { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); } | |
b2687a0a | 1288 | |
d7ab1bab | 1289 | static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg) |
1290 | { | |
1291 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1292 | mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop); | |
1293 | } | |
1294 | ||
1295 | #define mmmeth_ext mmmeth_reduce | |
1296 | static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg) | |
1297 | { | |
1298 | PyObject *z = 0; | |
1299 | mp *yy = 0; | |
1300 | ||
1301 | if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end; | |
1302 | z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy)); | |
1303 | end: | |
1304 | return (z); | |
1305 | } | |
1306 | ||
1307 | static void mpmont_pydealloc(PyObject *me) | |
1308 | { | |
1309 | mpmont_destroy(MPMONT_PY(me)); | |
3aa33042 | 1310 | FREEOBJ(me); |
d7ab1bab | 1311 | } |
1312 | ||
1313 | static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1314 | { | |
1315 | mpmont_pyobj *mm = 0; | |
827f89d7 | 1316 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1317 | mp *xx = 0; |
1318 | ||
827f89d7 | 1319 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1320 | goto end; |
1321 | if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd"); | |
1322 | mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0); | |
1323 | mpmont_create(&mm->mm, xx); | |
1324 | end: | |
1325 | if (xx) MP_DROP(xx); | |
1326 | return ((PyObject *)mm); | |
1327 | } | |
1328 | ||
1329 | static PyObject *mmget_m(PyObject *me, void *hunoz) | |
1330 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); } | |
1331 | ||
1332 | static PyObject *mmget_r(PyObject *me, void *hunoz) | |
1333 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); } | |
1334 | ||
1335 | static PyObject *mmget_r2(PyObject *me, void *hunoz) | |
1336 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); } | |
1337 | ||
c90f712e | 1338 | static const PyGetSetDef mpmont_pygetset[] = { |
d7ab1bab | 1339 | #define GETSETNAME(op, name) mm##op##_##name |
1340 | GET (m, "M.m -> modulus for reduction") | |
1341 | GET (r, "M.r -> multiplicative identity") | |
1342 | GET (r2, "M.r2 -> M.r^2, Montgomerization factor") | |
1343 | #undef GETSETNAME | |
1344 | { 0 } | |
1345 | }; | |
1346 | ||
c90f712e | 1347 | static const PyMethodDef mpmont_pymethods[] = { |
d7ab1bab | 1348 | #define METHNAME(name) mmmeth_##name |
986bcc44 | 1349 | METH (int, "M.int(X) -> XR") |
d7ab1bab | 1350 | METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y") |
1351 | METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m") | |
d96c882e MW |
1352 | METH (mexpr, "M.mexpr([(XR0, N0), (XR1, N1), ...]) = ZR " |
1353 | "where Z = X0^N0 X1^N1 ... mod M.m\n" | |
1354 | "\t(the list may be flattened if this more convenient.)") | |
d7ab1bab | 1355 | METH (reduce, "M.reduce(XR) -> X") |
1356 | METH (ext, "M.ext(XR) -> X") | |
1357 | METH (exp, "M.exp(X, N) -> X^N mod M.m") | |
d96c882e MW |
1358 | METH (mexp, "M.mexp([(X0, N0), (X1, N1), ...]) = " |
1359 | "X0^N0 X1^N1 ... mod M.m\n" | |
1360 | "\t(the list may be flattened if this more convenient.)") | |
d7ab1bab | 1361 | #undef METHNAME |
1362 | { 0 } | |
1363 | }; | |
1364 | ||
1365 | static PyTypeObject *mpmont_pytype, mpmont_pytype_skel = { | |
6d4db0bf | 1366 | PyObject_HEAD_INIT(0) 0, /* Header */ |
c461c9b3 | 1367 | "MPMont", /* @tp_name@ */ |
d7ab1bab | 1368 | sizeof(mpmont_pyobj), /* @tp_basicsize@ */ |
1369 | 0, /* @tp_itemsize@ */ | |
1370 | ||
1371 | mpmont_pydealloc, /* @tp_dealloc@ */ | |
1372 | 0, /* @tp_print@ */ | |
1373 | 0, /* @tp_getattr@ */ | |
1374 | 0, /* @tp_setattr@ */ | |
1375 | 0, /* @tp_compare@ */ | |
1376 | 0, /* @tp_repr@ */ | |
1377 | 0, /* @tp_as_number@ */ | |
1378 | 0, /* @tp_as_sequence@ */ | |
1379 | 0, /* @tp_as_mapping@ */ | |
1380 | 0, /* @tp_hash@ */ | |
1381 | 0, /* @tp_call@ */ | |
1382 | 0, /* @tp_str@ */ | |
1383 | 0, /* @tp_getattro@ */ | |
1384 | 0, /* @tp_setattro@ */ | |
1385 | 0, /* @tp_as_buffer@ */ | |
1386 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1387 | Py_TPFLAGS_BASETYPE, | |
1388 | ||
1389 | /* @tp_doc@ */ | |
d96c882e | 1390 | "MPMont(N): a Montgomery reduction context.", |
d7ab1bab | 1391 | |
1392 | 0, /* @tp_traverse@ */ | |
1393 | 0, /* @tp_clear@ */ | |
1394 | 0, /* @tp_richcompare@ */ | |
1395 | 0, /* @tp_weaklistoffset@ */ | |
1396 | 0, /* @tp_iter@ */ | |
963a6148 | 1397 | 0, /* @tp_iternext@ */ |
c90f712e | 1398 | PYMETHODS(mpmont), /* @tp_methods@ */ |
d7ab1bab | 1399 | 0, /* @tp_members@ */ |
c90f712e | 1400 | PYGETSET(mpmont), /* @tp_getset@ */ |
d7ab1bab | 1401 | 0, /* @tp_base@ */ |
1402 | 0, /* @tp_dict@ */ | |
1403 | 0, /* @tp_descr_get@ */ | |
1404 | 0, /* @tp_descr_set@ */ | |
1405 | 0, /* @tp_dictoffset@ */ | |
1406 | 0, /* @tp_init@ */ | |
1407 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1408 | mpmont_pynew, /* @tp_new@ */ | |
3aa33042 | 1409 | 0, /* @tp_free@ */ |
d7ab1bab | 1410 | 0 /* @tp_is_gc@ */ |
1411 | }; | |
1412 | ||
1413 | /*----- Barrett reduction -------------------------------------------------*/ | |
1414 | ||
1415 | typedef struct mpbarrett_pyobj { | |
1416 | PyObject_HEAD | |
1417 | mpbarrett mb; | |
1418 | } mpbarrett_pyobj; | |
1419 | ||
1420 | #define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb) | |
1421 | ||
1422 | static PyObject *mbmeth_exp(PyObject *me, PyObject *arg) | |
1423 | { | |
1424 | PyObject *rc = 0; | |
1425 | mp *yy = 0, *zz = 0; | |
1426 | ||
1427 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1428 | goto end; | |
1429 | if (MP_NEGP(zz)) { | |
1430 | if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end; | |
1431 | zz = mp_neg(zz, zz); | |
1432 | } | |
1433 | rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz)); | |
1434 | end: | |
1435 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1436 | return (rc); | |
1437 | } | |
1438 | ||
1439 | static PyObject *mb_mexp(PyObject *me, void *v, int n) | |
1440 | { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); } | |
b2687a0a | 1441 | |
d7ab1bab | 1442 | static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg) |
1443 | { | |
1444 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1445 | mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop); | |
1446 | } | |
1447 | ||
1448 | static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg) | |
1449 | { | |
1450 | PyObject *z = 0; | |
1451 | mp *yy = 0; | |
1452 | ||
1453 | if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) | |
1454 | goto end; | |
1455 | z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy)); | |
1456 | end: | |
1457 | return (z); | |
1458 | } | |
1459 | ||
1460 | static void mpbarrett_pydealloc(PyObject *me) | |
1461 | { | |
1462 | mpbarrett_destroy(MPBARRETT_PY(me)); | |
3aa33042 | 1463 | FREEOBJ(me); |
d7ab1bab | 1464 | } |
1465 | ||
1466 | static PyObject *mpbarrett_pynew(PyTypeObject *ty, | |
1467 | PyObject *arg, PyObject *kw) | |
1468 | { | |
1469 | mpbarrett_pyobj *mb = 0; | |
827f89d7 | 1470 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1471 | mp *xx = 0; |
1472 | ||
827f89d7 | 1473 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1474 | goto end; |
1475 | if (!MP_POSP(xx)) VALERR("m must be positive"); | |
1476 | mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0); | |
1477 | mpbarrett_create(&mb->mb, xx); | |
1478 | end: | |
1479 | if (xx) MP_DROP(xx); | |
1480 | return ((PyObject *)mb); | |
1481 | } | |
1482 | ||
1483 | static PyObject *mbget_m(PyObject *me, void *hunoz) | |
1484 | { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); } | |
1485 | ||
c90f712e | 1486 | static const PyGetSetDef mpbarrett_pygetset[] = { |
d7ab1bab | 1487 | #define GETSETNAME(op, name) mb##op##_##name |
1488 | GET (m, "B.m -> modulus for reduction") | |
1489 | #undef GETSETNAME | |
1490 | { 0 } | |
1491 | }; | |
1492 | ||
c90f712e | 1493 | static const PyMethodDef mpbarrett_pymethods[] = { |
d7ab1bab | 1494 | #define METHNAME(name) mbmeth_##name |
1495 | METH (reduce, "B.reduce(X) -> X mod B.m") | |
1496 | METH (exp, "B.exp(X, N) -> X^N mod B.m") | |
d96c882e MW |
1497 | METH (mexp, "B.mexp([(X0, N0), (X1, N1), ...]) = " |
1498 | "X0^N0 X1^N1 ... mod B.m\n" | |
1499 | "\t(the list may be flattened if this more convenient.)") | |
d7ab1bab | 1500 | #undef METHNAME |
1501 | { 0 } | |
1502 | }; | |
1503 | ||
1504 | static PyTypeObject *mpbarrett_pytype, mpbarrett_pytype_skel = { | |
6d4db0bf | 1505 | PyObject_HEAD_INIT(0) 0, /* Header */ |
c461c9b3 | 1506 | "MPBarrett", /* @tp_name@ */ |
d7ab1bab | 1507 | sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */ |
1508 | 0, /* @tp_itemsize@ */ | |
1509 | ||
1510 | mpbarrett_pydealloc, /* @tp_dealloc@ */ | |
1511 | 0, /* @tp_print@ */ | |
1512 | 0, /* @tp_getattr@ */ | |
1513 | 0, /* @tp_setattr@ */ | |
1514 | 0, /* @tp_compare@ */ | |
1515 | 0, /* @tp_repr@ */ | |
1516 | 0, /* @tp_as_number@ */ | |
1517 | 0, /* @tp_as_sequence@ */ | |
1518 | 0, /* @tp_as_mapping@ */ | |
1519 | 0, /* @tp_hash@ */ | |
1520 | 0, /* @tp_call@ */ | |
1521 | 0, /* @tp_str@ */ | |
1522 | 0, /* @tp_getattro@ */ | |
1523 | 0, /* @tp_setattro@ */ | |
1524 | 0, /* @tp_as_buffer@ */ | |
1525 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1526 | Py_TPFLAGS_BASETYPE, | |
1527 | ||
1528 | /* @tp_doc@ */ | |
d96c882e | 1529 | "MPBarrett(N): a Barrett reduction context.", |
d7ab1bab | 1530 | |
1531 | 0, /* @tp_traverse@ */ | |
1532 | 0, /* @tp_clear@ */ | |
1533 | 0, /* @tp_richcompare@ */ | |
1534 | 0, /* @tp_weaklistoffset@ */ | |
1535 | 0, /* @tp_iter@ */ | |
963a6148 | 1536 | 0, /* @tp_iternext@ */ |
c90f712e | 1537 | PYMETHODS(mpbarrett), /* @tp_methods@ */ |
d7ab1bab | 1538 | 0, /* @tp_members@ */ |
c90f712e | 1539 | PYGETSET(mpbarrett), /* @tp_getset@ */ |
d7ab1bab | 1540 | 0, /* @tp_base@ */ |
1541 | 0, /* @tp_dict@ */ | |
1542 | 0, /* @tp_descr_get@ */ | |
1543 | 0, /* @tp_descr_set@ */ | |
1544 | 0, /* @tp_dictoffset@ */ | |
1545 | 0, /* @tp_init@ */ | |
1546 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1547 | mpbarrett_pynew, /* @tp_new@ */ | |
3aa33042 | 1548 | 0, /* @tp_free@ */ |
d7ab1bab | 1549 | 0 /* @tp_is_gc@ */ |
1550 | }; | |
1551 | ||
1552 | /*----- Nice prime reduction ----------------------------------------------*/ | |
1553 | ||
1554 | typedef struct mpreduce_pyobj { | |
1555 | PyObject_HEAD | |
1556 | mpreduce mr; | |
1557 | } mpreduce_pyobj; | |
1558 | ||
1559 | #define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr) | |
1560 | ||
1561 | static PyObject *mrmeth_exp(PyObject *me, PyObject *arg) | |
1562 | { | |
1563 | PyObject *rc = 0; | |
1564 | mp *yy = 0, *zz = 0; | |
1565 | ||
1566 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1567 | goto end; | |
1568 | if (MP_NEGP(zz)) { | |
1569 | if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end; | |
1570 | zz = mp_neg(zz, zz); | |
1571 | } | |
1572 | rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz)); | |
1573 | end: | |
1574 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1575 | return (rc); | |
1576 | } | |
1577 | ||
1578 | static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg) | |
1579 | { | |
1580 | PyObject *z = 0; | |
1581 | mp *yy = 0; | |
1582 | ||
1583 | if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end; | |
1584 | z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy)); | |
1585 | end: | |
1586 | return (z); | |
1587 | } | |
1588 | ||
1589 | static void mpreduce_pydealloc(PyObject *me) | |
1590 | { | |
1591 | mpreduce_destroy(MPREDUCE_PY(me)); | |
3aa33042 | 1592 | FREEOBJ(me); |
d7ab1bab | 1593 | } |
1594 | ||
1595 | static PyObject *mpreduce_pynew(PyTypeObject *ty, | |
1596 | PyObject *arg, PyObject *kw) | |
1597 | { | |
1598 | mpreduce_pyobj *mr = 0; | |
1599 | mpreduce r; | |
827f89d7 | 1600 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1601 | mp *xx = 0; |
1602 | ||
827f89d7 | 1603 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1604 | goto end; |
1605 | if (!MP_POSP(xx)) VALERR("m must be positive"); | |
1606 | if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)"); | |
1607 | mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0); | |
1608 | mr->mr = r; | |
1609 | end: | |
1610 | if (xx) MP_DROP(xx); | |
1611 | return ((PyObject *)mr); | |
1612 | } | |
1613 | ||
1614 | static PyObject *mrget_m(PyObject *me, void *hunoz) | |
1615 | { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); } | |
1616 | ||
c90f712e | 1617 | static const PyGetSetDef mpreduce_pygetset[] = { |
d7ab1bab | 1618 | #define GETSETNAME(op, name) mr##op##_##name |
1619 | GET (m, "R.m -> modulus for reduction") | |
1620 | #undef GETSETNAME | |
1621 | { 0 } | |
1622 | }; | |
1623 | ||
c90f712e | 1624 | static const const PyMethodDef mpreduce_pymethods[] = { |
d7ab1bab | 1625 | #define METHNAME(name) mrmeth_##name |
1626 | METH (reduce, "R.reduce(X) -> X mod B.m") | |
1627 | METH (exp, "R.exp(X, N) -> X^N mod B.m") | |
1628 | #undef METHNAME | |
1629 | { 0 } | |
1630 | }; | |
1631 | ||
1632 | static PyTypeObject *mpreduce_pytype, mpreduce_pytype_skel = { | |
6d4db0bf | 1633 | PyObject_HEAD_INIT(0) 0, /* Header */ |
c461c9b3 | 1634 | "MPReduce", /* @tp_name@ */ |
d7ab1bab | 1635 | sizeof(mpreduce_pyobj), /* @tp_basicsize@ */ |
1636 | 0, /* @tp_itemsize@ */ | |
1637 | ||
1638 | mpreduce_pydealloc, /* @tp_dealloc@ */ | |
1639 | 0, /* @tp_print@ */ | |
1640 | 0, /* @tp_getattr@ */ | |
1641 | 0, /* @tp_setattr@ */ | |
1642 | 0, /* @tp_compare@ */ | |
1643 | 0, /* @tp_repr@ */ | |
1644 | 0, /* @tp_as_number@ */ | |
1645 | 0, /* @tp_as_sequence@ */ | |
1646 | 0, /* @tp_as_mapping@ */ | |
1647 | 0, /* @tp_hash@ */ | |
1648 | 0, /* @tp_call@ */ | |
1649 | 0, /* @tp_str@ */ | |
1650 | 0, /* @tp_getattro@ */ | |
1651 | 0, /* @tp_setattro@ */ | |
1652 | 0, /* @tp_as_buffer@ */ | |
1653 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1654 | Py_TPFLAGS_BASETYPE, | |
1655 | ||
1656 | /* @tp_doc@ */ | |
d96c882e | 1657 | "MPReduce(N): a reduction context for reduction modulo Solinas primes.", |
d7ab1bab | 1658 | |
1659 | 0, /* @tp_traverse@ */ | |
1660 | 0, /* @tp_clear@ */ | |
1661 | 0, /* @tp_richcompare@ */ | |
1662 | 0, /* @tp_weaklistoffset@ */ | |
1663 | 0, /* @tp_iter@ */ | |
963a6148 | 1664 | 0, /* @tp_iternext@ */ |
c90f712e | 1665 | PYMETHODS(mpreduce), /* @tp_methods@ */ |
d7ab1bab | 1666 | 0, /* @tp_members@ */ |
c90f712e | 1667 | PYGETSET(mpreduce), /* @tp_getset@ */ |
d7ab1bab | 1668 | 0, /* @tp_base@ */ |
1669 | 0, /* @tp_dict@ */ | |
1670 | 0, /* @tp_descr_get@ */ | |
1671 | 0, /* @tp_descr_set@ */ | |
1672 | 0, /* @tp_dictoffset@ */ | |
1673 | 0, /* @tp_init@ */ | |
1674 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1675 | mpreduce_pynew, /* @tp_new@ */ | |
3aa33042 | 1676 | 0, /* @tp_free@ */ |
d7ab1bab | 1677 | 0 /* @tp_is_gc@ */ |
1678 | }; | |
1679 | ||
1680 | /*----- Chinese Remainder Theorem solution --------------------------------*/ | |
1681 | ||
1682 | typedef struct mpcrt_pyobj { | |
1683 | PyObject_HEAD | |
1684 | mpcrt c; | |
1685 | } mpcrt_pyobj; | |
1686 | ||
1687 | #define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c) | |
1688 | ||
1689 | static PyObject *mcmeth_solve(PyObject *me, PyObject *arg) | |
1690 | { | |
1691 | mpcrt *c = MPCRT_PY(me); | |
1692 | PyObject *q = 0, *x, *z = 0; | |
1693 | mp *xx; | |
1694 | mp **v = 0; | |
77a0d53f | 1695 | Py_ssize_t i = 0, n = c->k; |
d7ab1bab | 1696 | |
1697 | Py_INCREF(me); | |
c51a597d | 1698 | if (PyTuple_GET_SIZE(arg) == n) |
d7ab1bab | 1699 | q = arg; |
1700 | else if (!PyArg_ParseTuple(arg, "O:solve", &q)) | |
1701 | goto end; | |
1702 | Py_INCREF(q); | |
1703 | if (!PySequence_Check(q)) TYERR("want a sequence of residues"); | |
4281a7ee MW |
1704 | i = PySequence_Size(q); if (i < 0) goto end; |
1705 | if (i != n) VALERR("residue count mismatch"); | |
d7ab1bab | 1706 | v = xmalloc(n * sizeof(*v)); |
1707 | for (i = 0; i < n; i++) { | |
1708 | if ((x = PySequence_GetItem(q, i)) == 0) goto end; | |
1709 | xx = getmp(x); Py_DECREF(x); if (!xx) goto end; | |
1710 | v[i] = xx; | |
1711 | } | |
1712 | z = mp_pywrap(mpcrt_solve(c, MP_NEW, v)); | |
1713 | end: | |
1714 | if (v) { | |
1715 | n = i; | |
1716 | for (i = 0; i < n; i++) | |
1717 | MP_DROP(v[i]); | |
1718 | xfree(v); | |
1719 | } | |
1720 | Py_DECREF(me); | |
1721 | Py_XDECREF(q); | |
1722 | return (z); | |
1723 | } | |
1724 | ||
1725 | static void mpcrt_pydealloc(PyObject *me) | |
1726 | { | |
1727 | mpcrt *c = MPCRT_PY(me); | |
1728 | mpcrt_destroy(c); | |
1729 | xfree(c->v); | |
1730 | } | |
1731 | ||
1732 | static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1733 | { | |
1734 | mpcrt_mod *v = 0; | |
77a0d53f | 1735 | Py_ssize_t n, i = 0, j; |
827f89d7 | 1736 | static const char *const kwlist[] = { "mv", 0 }; |
d7ab1bab | 1737 | PyObject *q = 0, *x; |
d2b7e92c MW |
1738 | mp *xx = MP_NEW, *y = MP_NEW, *g = MP_NEW; |
1739 | mpmul mm; | |
d7ab1bab | 1740 | mpcrt_pyobj *c = 0; |
1741 | ||
c51a597d | 1742 | if (PyTuple_GET_SIZE(arg) > 1) |
d7ab1bab | 1743 | q = arg; |
827f89d7 | 1744 | else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", KWLIST, &q)) |
d7ab1bab | 1745 | goto end; |
1746 | Py_INCREF(q); | |
1747 | if (!PySequence_Check(q)) TYERR("want a sequence of moduli"); | |
4281a7ee | 1748 | n = PySequence_Size(q); if (n < 0) goto end; |
d7ab1bab | 1749 | if (!n) VALERR("want at least one modulus"); |
1750 | v = xmalloc(n * sizeof(*v)); | |
1751 | for (i = 0; i < n; i++) { | |
1752 | if ((x = PySequence_GetItem(q, i)) == 0) goto end; | |
1753 | xx = getmp(x); Py_DECREF(x); if (!xx) goto end; | |
684cd535 | 1754 | if (MP_CMP(xx, <=, MP_ZERO)) VALERR("moduli must be positive"); |
4e02c19c | 1755 | v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0; xx = MP_NEW; |
d7ab1bab | 1756 | } |
d2b7e92c MW |
1757 | mpmul_init(&mm); |
1758 | for (j = 0; j < i; j++) mpmul_add(&mm, v[j].m); | |
1759 | xx = mpmul_done(&mm); | |
1760 | for (j = 0; j < i; j++) { | |
1761 | mp_div(&y, 0, xx, v[j].m); | |
1762 | mp_gcd(&g, 0, 0, y, v[j].m); | |
1763 | if (!MP_EQ(g, MP_ONE)) VALERR("moduli must be pairwise coprime"); | |
1764 | } | |
1765 | ||
d7ab1bab | 1766 | c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0); |
1767 | mpcrt_create(&c->c, v, n, 0); | |
1768 | Py_DECREF(q); | |
d2b7e92c | 1769 | mp_drop(xx); mp_drop(y); mp_drop(g); |
d7ab1bab | 1770 | return ((PyObject *)c); |
1771 | ||
1772 | end: | |
1773 | if (v) { | |
1774 | n = i; | |
1775 | for (i = 0; i < n; i++) | |
1776 | MP_DROP(v[i].m); | |
1777 | xfree(v); | |
1778 | } | |
1779 | Py_XDECREF(q); | |
d2b7e92c | 1780 | mp_drop(xx); mp_drop(y); mp_drop(g); |
d7ab1bab | 1781 | return (0); |
1782 | } | |
1783 | ||
1784 | static PyObject *mcget_product(PyObject *me, void *hunoz) | |
1785 | { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); } | |
1786 | ||
1787 | static PyObject *mcget_moduli(PyObject *me, void *hunoz) | |
1788 | { | |
1789 | int i; | |
1790 | PyObject *q; | |
1791 | mpcrt *c = MPCRT_PY(me); | |
1792 | ||
1793 | if ((q = PyList_New(c->k)) == 0) return (0); | |
1794 | for (i = 0; i < c->k; i++) | |
c51a597d | 1795 | PyList_SET_ITEM(q, i, mp_pywrap(c->v[i].m)); |
d7ab1bab | 1796 | return (q); |
1797 | } | |
1798 | ||
c90f712e | 1799 | static const PyGetSetDef mpcrt_pygetset[] = { |
d7ab1bab | 1800 | #define GETSETNAME(op, name) mc##op##_##name |
1801 | GET (product, "C.product -> product of moduli") | |
1802 | GET (moduli, "C.moduli -> list of individual moduli") | |
1803 | #undef GETSETNAME | |
1804 | { 0 } | |
1805 | }; | |
1806 | ||
c90f712e | 1807 | static const PyMethodDef mpcrt_pymethods[] = { |
d7ab1bab | 1808 | #define METHNAME(name) mcmeth_##name |
1809 | METH (solve, "C.solve([R0, R1]) -> X mod C.product") | |
1810 | #undef METHNAME | |
1811 | { 0 } | |
1812 | }; | |
1813 | ||
1814 | static PyTypeObject *mpcrt_pytype, mpcrt_pytype_skel = { | |
6d4db0bf | 1815 | PyObject_HEAD_INIT(0) 0, /* Header */ |
c461c9b3 | 1816 | "MPCRT", /* @tp_name@ */ |
d7ab1bab | 1817 | sizeof(mpcrt_pyobj), /* @tp_basicsize@ */ |
1818 | 0, /* @tp_itemsize@ */ | |
1819 | ||
1820 | mpcrt_pydealloc, /* @tp_dealloc@ */ | |
1821 | 0, /* @tp_print@ */ | |
1822 | 0, /* @tp_getattr@ */ | |
1823 | 0, /* @tp_setattr@ */ | |
1824 | 0, /* @tp_compare@ */ | |
1825 | 0, /* @tp_repr@ */ | |
1826 | 0, /* @tp_as_number@ */ | |
1827 | 0, /* @tp_as_sequence@ */ | |
1828 | 0, /* @tp_as_mapping@ */ | |
1829 | 0, /* @tp_hash@ */ | |
1830 | 0, /* @tp_call@ */ | |
1831 | 0, /* @tp_str@ */ | |
1832 | 0, /* @tp_getattro@ */ | |
1833 | 0, /* @tp_setattro@ */ | |
1834 | 0, /* @tp_as_buffer@ */ | |
1835 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1836 | Py_TPFLAGS_BASETYPE, | |
1837 | ||
1838 | /* @tp_doc@ */ | |
d96c882e | 1839 | "MPCRT(SEQ): a context for solving Chinese Remainder Theorem problems.", |
d7ab1bab | 1840 | |
1841 | 0, /* @tp_traverse@ */ | |
1842 | 0, /* @tp_clear@ */ | |
1843 | 0, /* @tp_richcompare@ */ | |
1844 | 0, /* @tp_weaklistoffset@ */ | |
1845 | 0, /* @tp_iter@ */ | |
963a6148 | 1846 | 0, /* @tp_iternext@ */ |
c90f712e | 1847 | PYMETHODS(mpcrt), /* @tp_methods@ */ |
d7ab1bab | 1848 | 0, /* @tp_members@ */ |
c90f712e | 1849 | PYGETSET(mpcrt), /* @tp_getset@ */ |
d7ab1bab | 1850 | 0, /* @tp_base@ */ |
1851 | 0, /* @tp_dict@ */ | |
1852 | 0, /* @tp_descr_get@ */ | |
1853 | 0, /* @tp_descr_set@ */ | |
1854 | 0, /* @tp_dictoffset@ */ | |
1855 | 0, /* @tp_init@ */ | |
1856 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1857 | mpcrt_pynew, /* @tp_new@ */ | |
3aa33042 | 1858 | 0, /* @tp_free@ */ |
d7ab1bab | 1859 | 0 /* @tp_is_gc@ */ |
1860 | }; | |
1861 | ||
1862 | /*----- Binary polynomials ------------------------------------------------*/ | |
1863 | ||
1864 | static PyObject *gf_pyrepr(PyObject *o) | |
1865 | { return mp_topystring(MP_X(o), 16, "GF(", "0x", "L)"); } | |
1866 | ||
1867 | static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op) | |
1868 | { | |
1869 | mp *xx, *yy; | |
1870 | int xl, yl; | |
1871 | int b; | |
1872 | ||
bf8910bd | 1873 | if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; |
d7ab1bab | 1874 | switch (op) { |
1875 | case Py_EQ: b = MP_EQ(xx, yy); break; | |
1876 | case Py_NE: b = !MP_EQ(xx, yy); break; | |
1877 | default: | |
1878 | xl = mp_bits(xx); | |
1879 | yl = mp_bits(yy); | |
1880 | switch (op) { | |
1881 | case Py_LT: b = xl < yl; break; | |
1882 | case Py_LE: b = xl <= yl; break; | |
1883 | case Py_GT: b = xl > yl; break; | |
1884 | case Py_GE: b = xl >= yl; break; | |
1885 | default: abort(); | |
1886 | } | |
1887 | break; | |
1888 | } | |
1889 | MP_DROP(xx); MP_DROP(yy); | |
1890 | return (getbool(b)); | |
1891 | } | |
1892 | ||
1893 | static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1894 | { | |
1895 | PyObject *x; | |
1896 | mp *z; | |
1897 | mp_pyobj *zz = 0; | |
1898 | int radix = 0; | |
827f89d7 | 1899 | static const char *const kwlist[] = { "x", "radix", 0 }; |
d7ab1bab | 1900 | |
827f89d7 | 1901 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", KWLIST, &x, &radix)) |
d7ab1bab | 1902 | goto end; |
1903 | if (GF_PYCHECK(x)) RETURN_OBJ(x); | |
f368b46e | 1904 | if (!good_radix_p(radix, 1)) VALERR("radix out of range"); |
d7ab1bab | 1905 | if ((z = mp_frompyobject(x, radix)) == 0) { |
1906 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf", | |
1907 | x->ob_type->tp_name); | |
1908 | goto end; | |
1909 | } | |
1910 | if (MP_NEGP(z)) { | |
1911 | MP_DROP(z); | |
1912 | VALERR("gf cannot be negative"); | |
1913 | } | |
1914 | zz = (mp_pyobj *)ty->tp_alloc(ty, 0); | |
1915 | zz->x = z; | |
1916 | end: | |
1917 | return ((PyObject *)zz); | |
1918 | } | |
1919 | ||
d7ab1bab | 1920 | static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z) |
1921 | { | |
1922 | mp *xx = 0, *yy = 0, *zz = 0; | |
1923 | mp *r = 0; | |
1924 | PyObject *rc = 0; | |
1925 | ||
1926 | if ((xx = tomp(x)) == 0 || (yy = tomp(y)) == 0 || | |
1927 | (z && z != Py_None && (zz = tomp(z)) == 0)) { | |
1928 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
1929 | RETURN_NOTIMPL; | |
1930 | } | |
1931 | if (!z || z == Py_None) { | |
1932 | if (MP_NEGP(yy)) VALERR("negative exponent"); | |
1933 | r = gf_exp(MP_NEW, xx, yy); | |
1934 | } else { | |
1935 | gfreduce gr; | |
1936 | if (MP_ZEROP(zz)) ZDIVERR("zero modulus"); | |
1937 | if (MP_NEGP(yy)) { | |
1938 | if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end; | |
1939 | yy = mp_neg(yy, yy); | |
1940 | } | |
1941 | gfreduce_create(&gr, zz); | |
1942 | r = gfreduce_exp(&gr, MP_NEW, xx, yy); | |
1943 | gfreduce_destroy(&gr); | |
1944 | } | |
1945 | rc = gf_pywrap(r); | |
1946 | end: | |
1947 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
1948 | return (rc); | |
1949 | } | |
1950 | ||
1951 | static PyObject *gfmeth_sqr(PyObject *me, PyObject *arg) | |
1952 | { | |
1953 | if (!PyArg_ParseTuple(arg, ":sqr")) return (0); | |
1954 | return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me)))); | |
1955 | } | |
1956 | ||
1957 | static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg) | |
1958 | { | |
1959 | PyObject *z = 0; | |
1960 | mp *yy = 0, *zz = MP_NEW; | |
1961 | ||
1962 | if (!PyArg_ParseTuple(arg, "O&:gcd", convgf, &yy)) goto end; | |
1963 | gf_gcd(&zz, 0, 0, MP_X(me), yy); | |
1964 | z = gf_pywrap(zz); | |
1965 | end: | |
1966 | if (yy) MP_DROP(yy); | |
1967 | return (z); | |
1968 | } | |
1969 | ||
1970 | static PyObject *gfmeth_gcdx(PyObject *me, PyObject *arg) | |
1971 | { | |
1972 | PyObject *z = 0; | |
1973 | mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW; | |
1974 | ||
1975 | if (!PyArg_ParseTuple(arg, "O&:gcdx", convgf, &yy)) | |
1976 | goto end; | |
1977 | gf_gcd(&zz, &uu, &vv, MP_X(me), yy); | |
1978 | z = Py_BuildValue("(NNN)", | |
1979 | gf_pywrap(zz), gf_pywrap(uu), gf_pywrap(vv)); | |
1980 | end: | |
1981 | if (yy) MP_DROP(yy); | |
1982 | return (z); | |
1983 | } | |
1984 | ||
1985 | static PyObject *gfmeth_modinv(PyObject *me, PyObject *arg) | |
1986 | { | |
1987 | PyObject *z = 0; | |
1988 | mp *yy = 0, *zz = MP_NEW; | |
1989 | ||
1990 | if (!PyArg_ParseTuple(arg, "O&:modinv", convgf, &yy) || | |
1991 | (zz = gf_modinv_checked(MP_NEW, yy, MP_X(me))) == 0) | |
1992 | goto end; | |
1993 | z = gf_pywrap(zz); | |
1994 | end: | |
1995 | if (yy) MP_DROP(yy); | |
1996 | return (z); | |
1997 | } | |
1998 | ||
a157093f MW |
1999 | static PyObject *gfmeth_fromstring(PyObject *me, |
2000 | PyObject *arg, PyObject *kw) | |
f281293c MW |
2001 | { |
2002 | int r = 0; | |
2003 | char *p; | |
2004 | Py_ssize_t len; | |
2005 | PyObject *z = 0; | |
2006 | mp *zz; | |
2007 | mptext_stringctx sc; | |
a157093f | 2008 | static const char *const kwlist[] = { "x", "radix", 0 }; |
f281293c | 2009 | |
a157093f MW |
2010 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "s#|i:fromstring", KWLIST, |
2011 | &p, &len, &r)) | |
f281293c MW |
2012 | goto end; |
2013 | if (!good_radix_p(r, 1)) VALERR("bad radix"); | |
2014 | sc.buf = p; sc.lim = p + len; | |
2015 | if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 || | |
2016 | MP_NEGP(zz)) { | |
2017 | if (zz) MP_DROP(zz); | |
2018 | VALERR("bad binary polynomial"); | |
2019 | } | |
2020 | z = Py_BuildValue("(Ns#)", gf_pywrap(zz), | |
2021 | sc.buf, (Py_ssize_t)(sc.lim - sc.buf)); | |
2022 | end: | |
2023 | return (z); | |
2024 | } | |
2025 | ||
d7ab1bab | 2026 | static PyObject *gfmeth_irreduciblep(PyObject *me, PyObject *arg) |
2027 | { | |
2028 | if (!PyArg_ParseTuple(arg, ":irreduciblep")) return (0); | |
2029 | return getbool(gf_irreduciblep(MP_X(me))); | |
2030 | } | |
2031 | ||
2032 | static PyObject *gfget_degree(PyObject *me, void *hunoz) | |
2033 | { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); } | |
2034 | ||
c90f712e | 2035 | static const PyGetSetDef gf_pygetset[] = { |
d7ab1bab | 2036 | #define GETSETNAME(op, name) gf##op##_##name |
2037 | GET (degree, "X.degree -> polynomial degree of X") | |
2038 | #undef GETSETNAME | |
2039 | #define GETSETNAME(op, name) mp##op##_##name | |
2040 | GET (nbits, "X.nbits -> bit length of X") | |
2041 | GET (noctets, "X.noctets -> octet length of X") | |
2042 | #undef GETSETNAME | |
2043 | { 0 } | |
2044 | }; | |
2045 | ||
c90f712e | 2046 | static const PyMethodDef gf_pymethods[] = { |
d7ab1bab | 2047 | #define METHNAME(func) gfmeth_##func |
2048 | METH (setbit, "X.setbit(N) -> X with bit N set") | |
2049 | METH (clearbit, "X.clearbit(N) -> X with bit N clear") | |
2050 | METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X") | |
2051 | METH (sqr, "X.sqr() -> X^2") | |
2052 | METH (gcd, "X.gcd(Y) -> gcd(X, Y)") | |
d96c882e | 2053 | METH (gcdx, "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)") |
d7ab1bab | 2054 | METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X") |
b2687a0a | 2055 | METH (irreduciblep, "X.irreduciblep() -> true/false") |
a157093f MW |
2056 | KWSMTH(fromstring, "fromstring(STR, [radix = 0]) -> (X, REST)\n" |
2057 | " Parse STR as a binary polynomial, according to RADIX. If RADIX is\n" | |
2058 | " zero, read a prefix from STR to decide radix: allow `0b' for binary,\n" | |
2059 | " `0' or `0o' for octal, `0x' for hex, or `R_' for other radix R.") | |
2060 | SMTH (loadl, "loadl(STR) -> X: read little-endian bytes") | |
2061 | SMTH (loadb, "loadb(STR) -> X: read big-endian bytes") | |
2062 | SMTH (frombuf, "frombuf(STR) -> (X, REST): read buffer format") | |
d7ab1bab | 2063 | #undef METHNAME |
2064 | #define METHNAME(func) mpmeth_##func | |
1df8d5fe MW |
2065 | KWMETH(tostring, "X.tostring([radix = 10]) -> STR") |
2066 | KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes") | |
2067 | KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes") | |
d96c882e MW |
2068 | KWMETH(storel2c, "X.storel2c([len = -1]) -> " |
2069 | "little-endian bytes, two's complement") | |
2070 | KWMETH(storeb2c, "X.storeb2c([len = -1]) -> " | |
2071 | "big-endian bytes, two's complement") | |
d7ab1bab | 2072 | METH (tobuf, "X.tobuf() -> buffer format") |
2073 | #undef METHNAME | |
2074 | { 0 } | |
2075 | }; | |
2076 | ||
c90f712e | 2077 | static const PyNumberMethods gf_pynumber = { |
d7ab1bab | 2078 | gf_pyadd, /* @nb_add@ */ |
2079 | gf_pysub, /* @nb_subtract@ */ | |
2080 | gf_pymul, /* @nb_multiply@ */ | |
2081 | 0, /* @nb_divide@ */ | |
2082 | gf_pymod, /* @nb_remainder@ */ | |
2083 | gf_pydivmod, /* @nb_divmod@ */ | |
2084 | gf_pyexp, /* @nb_power@ */ | |
2085 | mp_pyid, /* @nb_negative@ */ | |
2086 | mp_pyid, /* @nb_positive@ */ | |
2087 | mp_pyid, /* @nb_absolute@ */ | |
2088 | mp_pynonzerop, /* @nb_nonzero@ */ | |
2089 | 0 /* doesn't make any sense */, /* @nb_invert@ */ | |
2090 | gf_pylsl, /* @nb_lshift@ */ | |
2091 | gf_pylsr, /* @nb_rshift@ */ | |
2092 | gf_pyand, /* @nb_and@ */ | |
2093 | gf_pyxor, /* @nb_xor@ */ | |
2094 | gf_pyor, /* @nb_or@ */ | |
2095 | gf_pycoerce, /* @nb_coerce@ */ | |
2096 | mp_pyint, /* @nb_int@ */ | |
2097 | mp_pylong, /* @nb_long@ */ | |
2098 | 0 /* doesn't make any sense */, /* @nb_float@ */ | |
2099 | mp_pyoct, /* @nb_oct@ */ | |
2100 | mp_pyhex, /* @nb_hex@ */ | |
2101 | ||
2102 | 0, /* @nb_inplace_add@ */ | |
2103 | 0, /* @nb_inplace_subtract@ */ | |
2104 | 0, /* @nb_inplace_multiply@ */ | |
2105 | 0, /* @nb_inplace_divide@ */ | |
2106 | 0, /* @nb_inplace_remainder@ */ | |
2107 | 0, /* @nb_inplace_power@ */ | |
2108 | 0, /* @nb_inplace_lshift@ */ | |
2109 | 0, /* @nb_inplace_rshift@ */ | |
2110 | 0, /* @nb_inplace_and@ */ | |
2111 | 0, /* @nb_inplace_xor@ */ | |
2112 | 0, /* @nb_inplace_or@ */ | |
2113 | ||
2114 | gf_pydiv, /* @nb_floor_divide@ */ | |
2115 | 0, /* @nb_true_divide@ */ | |
2116 | 0, /* @nb_inplace_floor_divide@ */ | |
2117 | 0, /* @nb_inplace_true_divide@ */ | |
2118 | }; | |
2119 | ||
2120 | static PyTypeObject gf_pytype_skel = { | |
6d4db0bf | 2121 | PyObject_HEAD_INIT(0) 0, /* Header */ |
c461c9b3 | 2122 | "GF", /* @tp_name@ */ |
d7ab1bab | 2123 | sizeof(mp_pyobj), /* @tp_basicsize@ */ |
2124 | 0, /* @tp_itemsize@ */ | |
2125 | ||
2126 | mp_pydealloc, /* @tp_dealloc@ */ | |
2127 | 0, /* @tp_print@ */ | |
2128 | 0, /* @tp_getattr@ */ | |
2129 | 0, /* @tp_setattr@ */ | |
2130 | 0, /* @tp_compare@ */ | |
2131 | gf_pyrepr, /* @tp_repr@ */ | |
c90f712e | 2132 | PYNUMBER(gf), /* @tp_as_number@ */ |
d7ab1bab | 2133 | 0, /* @tp_as_sequence@ */ |
2134 | 0, /* @tp_as_mapping@ */ | |
ab723d73 | 2135 | mp_pyhash, /* @tp_hash@ */ |
d7ab1bab | 2136 | 0, /* @tp_call@ */ |
2137 | mp_pyhex, /* @tp_str@ */ | |
2138 | 0, /* @tp_getattro@ */ | |
2139 | 0, /* @tp_setattro@ */ | |
2140 | 0, /* @tp_as_buffer@ */ | |
2141 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2142 | Py_TPFLAGS_CHECKTYPES | | |
2143 | Py_TPFLAGS_BASETYPE, | |
2144 | ||
2145 | /* @tp_doc@ */ | |
d96c882e MW |
2146 | "Binary polynomials. Support almost all the standard arithmetic\n" |
2147 | "operations.\n" | |
2148 | "\n" | |
2149 | "Constructor GF(X, [radix = R]) attempts to convert X to a `GF'. If\n" | |
2150 | "X is a string, it's read in radix-R form, or we look for a prefix\n" | |
2151 | "if R = 0. Other acceptable things are field elements, elliptic curve\n" | |
2152 | "points, group elements, Python `int' and `long' objects, and anything\n" | |
2153 | "with an integer conversion.\n" | |
2154 | "\n" | |
2155 | "The name is hopelessly wrong from a technical point of view, but\n" | |
2156 | "but it's much easier to type than `p2' or `c2' or whatever.\n" | |
2157 | "\n" | |
2158 | "Notes:\n" | |
2159 | "\n" | |
2160 | " * Use `//' for Euclidean division: `/' gives exact rational division.", | |
d7ab1bab | 2161 | |
2162 | 0, /* @tp_traverse@ */ | |
2163 | 0, /* @tp_clear@ */ | |
2164 | gf_pyrichcompare, /* @tp_richcompare@ */ | |
2165 | 0, /* @tp_weaklistoffset@ */ | |
2166 | 0, /* @tp_iter@ */ | |
963a6148 | 2167 | 0, /* @tp_iternext@ */ |
c90f712e | 2168 | PYMETHODS(gf), /* @tp_methods@ */ |
d7ab1bab | 2169 | 0, /* @tp_members@ */ |
c90f712e | 2170 | PYGETSET(gf), /* @tp_getset@ */ |
d7ab1bab | 2171 | 0, /* @tp_base@ */ |
2172 | 0, /* @tp_dict@ */ | |
2173 | 0, /* @tp_descr_get@ */ | |
2174 | 0, /* @tp_descr_set@ */ | |
2175 | 0, /* @tp_dictoffset@ */ | |
2176 | 0, /* @tp_init@ */ | |
2177 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2178 | gf_pynew, /* @tp_new@ */ | |
3aa33042 | 2179 | 0, /* @tp_free@ */ |
d7ab1bab | 2180 | 0 /* @tp_is_gc@ */ |
2181 | }; | |
2182 | ||
d7ab1bab | 2183 | /*----- Sparse poly reduction ---------------------------------------------*/ |
2184 | ||
2185 | typedef struct gfreduce_pyobj { | |
2186 | PyObject_HEAD | |
2187 | gfreduce mr; | |
2188 | } gfreduce_pyobj; | |
2189 | ||
2190 | #define GFREDUCE_PY(o) (&((gfreduce_pyobj *)(o))->mr) | |
2191 | ||
2192 | static PyObject *grmeth_exp(PyObject *me, PyObject *arg) | |
2193 | { | |
2194 | PyObject *rc = 0; | |
2195 | mp *yy = 0, *zz = 0; | |
2196 | ||
2197 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convgf, &yy, convgf, &zz)) | |
2198 | goto end; | |
2199 | if (MP_NEGP(zz)) { | |
2200 | if ((yy = gf_modinv_checked(yy, yy, GFREDUCE_PY(me)->p)) == 0) goto end; | |
2201 | zz = mp_neg(zz, zz); | |
2202 | } | |
2203 | rc = gf_pywrap(gfreduce_exp(GFREDUCE_PY(me), MP_NEW, yy, zz)); | |
2204 | end: | |
2205 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
2206 | return (rc); | |
2207 | } | |
2208 | ||
fbc145f3 MW |
2209 | static PyObject *grmeth_trace(PyObject *me, PyObject *arg) |
2210 | { | |
2211 | PyObject *rc = 0; | |
2212 | mp *xx = 0; | |
2213 | ||
2214 | if (!PyArg_ParseTuple(arg, "O&:trace", convgf, &xx)) goto end; | |
2215 | rc = PyInt_FromLong(gfreduce_trace(GFREDUCE_PY(me), xx)); | |
2216 | end: | |
2217 | if (xx) MP_DROP(xx); | |
2218 | return (rc); | |
2219 | } | |
2220 | ||
2221 | static PyObject *grmeth_halftrace(PyObject *me, PyObject *arg) | |
2222 | { | |
2223 | PyObject *rc = 0; | |
2224 | mp *xx = 0; | |
2225 | ||
2226 | if (!PyArg_ParseTuple(arg, "O&:halftrace", convgf, &xx)) goto end; | |
2227 | rc = gf_pywrap(gfreduce_halftrace(GFREDUCE_PY(me), MP_NEW, xx)); | |
2228 | end: | |
2229 | if (xx) MP_DROP(xx); | |
2230 | return (rc); | |
2231 | } | |
2232 | ||
2233 | static PyObject *grmeth_sqrt(PyObject *me, PyObject *arg) | |
2234 | { | |
2235 | PyObject *rc = 0; | |
2236 | mp *xx = 0, *yy; | |
2237 | ||
2238 | if (!PyArg_ParseTuple(arg, "O&:sqrt", convgf, &xx)) goto end; | |
2239 | if ((yy = gfreduce_sqrt(GFREDUCE_PY(me), MP_NEW, xx)) == 0) | |
2240 | VALERR("no modular square root"); | |
2241 | rc = gf_pywrap(yy); | |
2242 | end: | |
2243 | if (xx) MP_DROP(xx); | |
2244 | return (rc); | |
2245 | } | |
2246 | ||
2247 | static PyObject *grmeth_quadsolve(PyObject *me, PyObject *arg) | |
2248 | { | |
2249 | PyObject *rc = 0; | |
2250 | mp *xx = 0, *yy; | |
2251 | ||
2252 | if (!PyArg_ParseTuple(arg, "O&:quadsolve", convgf, &xx)) goto end; | |
2253 | if ((yy = gfreduce_quadsolve(GFREDUCE_PY(me), MP_NEW, xx)) == 0) | |
2254 | VALERR("no solution found"); | |
2255 | rc = gf_pywrap(yy); | |
2256 | end: | |
2257 | if (xx) MP_DROP(xx); | |
2258 | return (rc); | |
2259 | } | |
2260 | ||
d7ab1bab | 2261 | static PyObject *grmeth_reduce(PyObject *me, PyObject *arg) |
2262 | { | |
2263 | PyObject *z = 0; | |
2264 | mp *yy = 0; | |
2265 | ||
2266 | if (!PyArg_ParseTuple(arg, "O&:reduce", convgf, &yy)) goto end; | |
2267 | z = gf_pywrap(gfreduce_do(GFREDUCE_PY(me), MP_NEW, yy)); | |
2268 | end: | |
2269 | return (z); | |
2270 | } | |
2271 | ||
2272 | static void gfreduce_pydealloc(PyObject *me) | |
2273 | { | |
2274 | gfreduce_destroy(GFREDUCE_PY(me)); | |
3aa33042 | 2275 | FREEOBJ(me); |
d7ab1bab | 2276 | } |
2277 | ||
2278 | static PyObject *gfreduce_pynew(PyTypeObject *ty, | |
2279 | PyObject *arg, PyObject *kw) | |
2280 | { | |
2281 | gfreduce_pyobj *mr = 0; | |
2282 | gfreduce r; | |
827f89d7 | 2283 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 2284 | mp *xx = 0; |
2285 | ||
827f89d7 | 2286 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convgf, &xx)) |
d7ab1bab | 2287 | goto end; |
2288 | if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!"); | |
2289 | gfreduce_create(&r, xx); | |
2290 | mr = (gfreduce_pyobj *)ty->tp_alloc(ty, 0); | |
2291 | mr->mr = r; | |
2292 | end: | |
2293 | if (xx) MP_DROP(xx); | |
2294 | return ((PyObject *)mr); | |
2295 | } | |
2296 | ||
2297 | static PyObject *grget_m(PyObject *me, void *hunoz) | |
2298 | { return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); } | |
2299 | ||
c90f712e | 2300 | static const PyGetSetDef gfreduce_pygetset[] = { |
d7ab1bab | 2301 | #define GETSETNAME(op, name) gr##op##_##name |
2302 | GET (m, "R.m -> reduction polynomial") | |
2303 | #undef GETSETNAME | |
2304 | { 0 } | |
2305 | }; | |
2306 | ||
c90f712e | 2307 | static const PyMethodDef gfreduce_pymethods[] = { |
d7ab1bab | 2308 | #define METHNAME(name) grmeth_##name |
2309 | METH (reduce, "R.reduce(X) -> X mod B.m") | |
fbc145f3 | 2310 | METH (trace, "R.trace(X) -> Tr(X) = x + x^2 + ... + x^{2^{m - 1}}") |
d96c882e | 2311 | METH (halftrace, "R.halftrace(X) -> x + x^{2^2} + ... + x^{2^{m - 1}}") |
fbc145f3 MW |
2312 | METH (sqrt, "R.sqrt(X) -> Y where Y^2 = X mod R") |
2313 | METH (quadsolve, "R.quadsolve(X) -> Y where Y^2 + Y = X mod R") | |
d7ab1bab | 2314 | METH (exp, "R.exp(X, N) -> X^N mod B.m") |
2315 | #undef METHNAME | |
2316 | { 0 } | |
2317 | }; | |
2318 | ||
2319 | static PyTypeObject *gfreduce_pytype, gfreduce_pytype_skel = { | |
6d4db0bf | 2320 | PyObject_HEAD_INIT(0) 0, /* Header */ |
c461c9b3 | 2321 | "GFReduce", /* @tp_name@ */ |
d7ab1bab | 2322 | sizeof(gfreduce_pyobj), /* @tp_basicsize@ */ |
2323 | 0, /* @tp_itemsize@ */ | |
2324 | ||
2325 | gfreduce_pydealloc, /* @tp_dealloc@ */ | |
2326 | 0, /* @tp_print@ */ | |
2327 | 0, /* @tp_getattr@ */ | |
2328 | 0, /* @tp_setattr@ */ | |
2329 | 0, /* @tp_compare@ */ | |
2330 | 0, /* @tp_repr@ */ | |
2331 | 0, /* @tp_as_number@ */ | |
2332 | 0, /* @tp_as_sequence@ */ | |
2333 | 0, /* @tp_as_mapping@ */ | |
2334 | 0, /* @tp_hash@ */ | |
2335 | 0, /* @tp_call@ */ | |
2336 | 0, /* @tp_str@ */ | |
2337 | 0, /* @tp_getattro@ */ | |
2338 | 0, /* @tp_setattro@ */ | |
2339 | 0, /* @tp_as_buffer@ */ | |
2340 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2341 | Py_TPFLAGS_BASETYPE, | |
2342 | ||
2343 | /* @tp_doc@ */ | |
d96c882e | 2344 | "GFReduce(N): a context for reduction modulo sparse polynomials.", |
d7ab1bab | 2345 | |
2346 | 0, /* @tp_traverse@ */ | |
2347 | 0, /* @tp_clear@ */ | |
2348 | 0, /* @tp_richcompare@ */ | |
2349 | 0, /* @tp_weaklistoffset@ */ | |
2350 | 0, /* @tp_iter@ */ | |
963a6148 | 2351 | 0, /* @tp_iternext@ */ |
c90f712e | 2352 | PYMETHODS(gfreduce), /* @tp_methods@ */ |
d7ab1bab | 2353 | 0, /* @tp_members@ */ |
c90f712e | 2354 | PYGETSET(gfreduce), /* @tp_getset@ */ |
d7ab1bab | 2355 | 0, /* @tp_base@ */ |
2356 | 0, /* @tp_dict@ */ | |
2357 | 0, /* @tp_descr_get@ */ | |
2358 | 0, /* @tp_descr_set@ */ | |
2359 | 0, /* @tp_dictoffset@ */ | |
2360 | 0, /* @tp_init@ */ | |
2361 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2362 | gfreduce_pynew, /* @tp_new@ */ | |
3aa33042 | 2363 | 0, /* @tp_free@ */ |
d7ab1bab | 2364 | 0 /* @tp_is_gc@ */ |
2365 | }; | |
2366 | ||
2367 | /*----- Normal/poly transformation ----------------------------------------*/ | |
2368 | ||
2369 | typedef struct gfn_pyobj { | |
2370 | PyObject_HEAD | |
2371 | mp *p; | |
2372 | gfn ntop, pton; | |
2373 | } gfn_pyobj; | |
2374 | ||
2375 | static PyTypeObject *gfn_pytype, gfn_pytype_skel; | |
2376 | ||
2377 | #define GFN_P(o) (((gfn_pyobj *)(o))->p) | |
2378 | #define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton) | |
2379 | #define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop) | |
2380 | ||
2381 | static PyObject *gfn_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
2382 | { | |
2383 | mp *p = 0, *beta = 0; | |
2384 | gfn_pyobj *gg = 0; | |
827f89d7 | 2385 | static const char *const kwlist[] = { "p", "beta", 0 }; |
d7ab1bab | 2386 | |
827f89d7 | 2387 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", KWLIST, |
d7ab1bab | 2388 | convgf, &p, convgf, &beta)) |
2389 | goto end; | |
2390 | gg = PyObject_New(gfn_pyobj, ty); | |
79ac6c22 | 2391 | gg->p = 0; |
d7ab1bab | 2392 | if (gfn_create(p, beta, &gg->ntop, &gg->pton)) { |
79ac6c22 | 2393 | Py_DECREF(gg); |
d7ab1bab | 2394 | gg = 0; |
2395 | VALERR("can't invert transformation matrix"); | |
2396 | } | |
2397 | gg->p = MP_COPY(p); | |
2398 | end: | |
2399 | mp_drop(p); | |
2400 | mp_drop(beta); | |
2401 | return ((PyObject *)gg); | |
2402 | } | |
2403 | ||
2404 | static PyObject *gfnget_p(PyObject *me, void *hunoz) | |
2405 | { return (gf_pywrap(MP_COPY(GFN_P(me)))); } | |
2406 | ||
2407 | static PyObject *gfnget_beta(PyObject *me, void *hunoz) | |
2408 | { | |
2409 | gfn *n = GFN_NTOP(me); | |
2410 | mp *x = n->r[n->n - 1]; | |
2411 | return (gf_pywrap(MP_COPY(x))); | |
2412 | } | |
2413 | ||
2414 | #define XFORMOP(name, NAME) \ | |
2415 | static PyObject *gfnmeth_##name(PyObject *me, PyObject *arg) \ | |
2416 | { \ | |
2417 | mp *xx = 0; \ | |
2418 | mp *z = 0; \ | |
2419 | \ | |
2420 | if (!PyArg_ParseTuple(arg, "O&:" #name, convgf, &xx)) goto end; \ | |
2421 | z = gfn_transform(GFN_##NAME(me), MP_NEW, xx); \ | |
2422 | end: \ | |
2423 | mp_drop(xx); \ | |
2424 | if (!z) return (0); \ | |
62ce807d | 2425 | return (gf_pywrap(z)); \ |
d7ab1bab | 2426 | } |
2427 | XFORMOP(pton, PTON) | |
2428 | XFORMOP(ntop, NTOP) | |
2429 | #undef XFORMOP | |
2430 | ||
2431 | static void gfn_pydealloc(PyObject *me) | |
2432 | { | |
79ac6c22 | 2433 | if (GFN_P(me)) { |
b76bb841 | 2434 | MP_DROP(GFN_P(me)); |
79ac6c22 MW |
2435 | gfn_destroy(GFN_PTON(me)); |
2436 | gfn_destroy(GFN_NTOP(me)); | |
2437 | } | |
3aa33042 | 2438 | FREEOBJ(me); |
d7ab1bab | 2439 | } |
2440 | ||
c90f712e | 2441 | static const PyGetSetDef gfn_pygetset[] = { |
d7ab1bab | 2442 | #define GETSETNAME(op, name) gfn##op##_##name |
2443 | GET (p, "X.p -> polynomial basis, as polynomial") | |
2444 | GET (beta, "X.beta -> normal basis element, in poly form") | |
2445 | #undef GETSETNAME | |
2446 | { 0 } | |
2447 | }; | |
2448 | ||
c90f712e | 2449 | static const PyMethodDef gfn_pymethods[] = { |
d7ab1bab | 2450 | #define METHNAME(name) gfnmeth_##name |
2451 | METH (pton, "X.pton(A) -> normal-basis representation of A") | |
2452 | METH (ntop, "X.ntop(A) -> polynomial-basis representation of A") | |
2453 | #undef METHNAME | |
2454 | { 0 } | |
2455 | }; | |
2456 | ||
2457 | static PyTypeObject gfn_pytype_skel = { | |
6d4db0bf | 2458 | PyObject_HEAD_INIT(0) 0, /* Header */ |
c461c9b3 | 2459 | "GFN", /* @tp_name@ */ |
d7ab1bab | 2460 | sizeof(gfn_pyobj), /* @tp_basicsize@ */ |
2461 | 0, /* @tp_itemsize@ */ | |
2462 | ||
2463 | gfn_pydealloc, /* @tp_dealloc@ */ | |
2464 | 0, /* @tp_print@ */ | |
2465 | 0, /* @tp_getattr@ */ | |
2466 | 0, /* @tp_setattr@ */ | |
2467 | 0, /* @tp_compare@ */ | |
2468 | 0, /* @tp_repr@ */ | |
2469 | 0, /* @tp_as_number@ */ | |
2470 | 0, /* @tp_as_sequence@ */ | |
2471 | 0, /* @tp_as_mapping@ */ | |
2472 | 0, /* @tp_hash@ */ | |
2473 | 0, /* @tp_call@ */ | |
2474 | 0, /* @tp_str@ */ | |
2475 | 0, /* @tp_getattro@ */ | |
2476 | 0, /* @tp_setattro@ */ | |
2477 | 0, /* @tp_as_buffer@ */ | |
2478 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2479 | Py_TPFLAGS_BASETYPE, | |
2480 | ||
2481 | /* @tp_doc@ */ | |
d96c882e MW |
2482 | "GFN(P, BETA): an object for transforming elements of binary fields\n" |
2483 | " between polynomial and normal basis representations.", | |
d7ab1bab | 2484 | |
2485 | 0, /* @tp_traverse@ */ | |
2486 | 0, /* @tp_clear@ */ | |
2487 | 0, /* @tp_richcompare@ */ | |
2488 | 0, /* @tp_weaklistoffset@ */ | |
2489 | 0, /* @tp_iter@ */ | |
963a6148 | 2490 | 0, /* @tp_iternext@ */ |
c90f712e | 2491 | PYMETHODS(gfn), /* @tp_methods@ */ |
d7ab1bab | 2492 | 0, /* @tp_members@ */ |
c90f712e | 2493 | PYGETSET(gfn), /* @tp_getset@ */ |
d7ab1bab | 2494 | 0, /* @tp_base@ */ |
2495 | 0, /* @tp_dict@ */ | |
2496 | 0, /* @tp_descr_get@ */ | |
2497 | 0, /* @tp_descr_set@ */ | |
2498 | 0, /* @tp_dictoffset@ */ | |
2499 | 0, /* @tp_init@ */ | |
2500 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2501 | gfn_pynew, /* @tp_new@ */ | |
3aa33042 | 2502 | 0, /* @tp_free@ */ |
d7ab1bab | 2503 | 0 /* @tp_is_gc@ */ |
2504 | }; | |
2505 | ||
2506 | /*----- Glue --------------------------------------------------------------*/ | |
2507 | ||
d7ab1bab | 2508 | void mp_pyinit(void) |
2509 | { | |
2510 | INITTYPE(mp, root); | |
2511 | INITTYPE(gf, root); | |
32507e35 | 2512 | INITTYPE(mpmul, root); |
d7ab1bab | 2513 | INITTYPE(mpmont, root); |
2514 | INITTYPE(mpbarrett, root); | |
2515 | INITTYPE(mpreduce, root); | |
2516 | INITTYPE(mpcrt, root); | |
2517 | INITTYPE(gfreduce, root); | |
2518 | INITTYPE(gfn, root); | |
d7ab1bab | 2519 | } |
2520 | ||
2521 | void mp_pyinsert(PyObject *mod) | |
2522 | { | |
2523 | INSERT("MP", mp_pytype); | |
32507e35 | 2524 | INSERT("MPMul", mpmul_pytype); |
d7ab1bab | 2525 | INSERT("MPMont", mpmont_pytype); |
2526 | INSERT("MPBarrett", mpbarrett_pytype); | |
2527 | INSERT("MPReduce", mpreduce_pytype); | |
2528 | INSERT("MPCRT", mpcrt_pytype); | |
2529 | INSERT("GF", gf_pytype); | |
2530 | INSERT("GFReduce", gfreduce_pytype); | |
2531 | INSERT("GFN", gfn_pytype); | |
2532 | } | |
2533 | ||
2534 | /*----- That's all, folks -------------------------------------------------*/ |