Commit | Line | Data |
---|---|---|
d7ab1bab | 1 | /* -*-c-*- |
2 | * | |
d7ab1bab | 3 | * Multiprecision arithmetic |
4 | * | |
5 | * (c) 2004 Straylight/Edgeware | |
6 | */ | |
7 | ||
b2687a0a | 8 | /*----- Licensing notice --------------------------------------------------* |
d7ab1bab | 9 | * |
10 | * This file is part of the Python interface to Catacomb. | |
11 | * | |
12 | * Catacomb/Python is free software; you can redistribute it and/or modify | |
13 | * it under the terms of the GNU General Public License as published by | |
14 | * the Free Software Foundation; either version 2 of the License, or | |
15 | * (at your option) any later version. | |
b2687a0a | 16 | * |
d7ab1bab | 17 | * Catacomb/Python is distributed in the hope that it will be useful, |
18 | * but WITHOUT ANY WARRANTY; without even the implied warranty of | |
19 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
20 | * GNU General Public License for more details. | |
b2687a0a | 21 | * |
d7ab1bab | 22 | * You should have received a copy of the GNU General Public License |
23 | * along with Catacomb/Python; if not, write to the Free Software Foundation, | |
24 | * Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. | |
25 | */ | |
26 | ||
27 | /*----- Header files ------------------------------------------------------*/ | |
28 | ||
29 | #include "catacomb-python.h" | |
30 | ||
31 | /*----- General utilities -------------------------------------------------*/ | |
32 | ||
33 | PyTypeObject *mp_pytype = 0; | |
34 | PyTypeObject *gf_pytype = 0; | |
35 | ||
67ae8797 MW |
36 | #ifndef PyLong_SHIFT |
37 | # define PyLong_SHIFT SHIFT | |
38 | #endif | |
39 | ||
40 | #ifndef PyLong_MASK | |
41 | # define PyLong_MASK MASK | |
42 | #endif | |
43 | ||
44 | STATIC_ASSERT(MPW_BITS >= PyLong_SHIFT, | |
e2568047 MW |
45 | "Catacomb's limbs are now narrower than than Python's!"); |
46 | ||
f368b46e | 47 | mp *mp_frompylong(PyObject *obj) |
d7ab1bab | 48 | { |
49 | unsigned long bits; | |
f368b46e | 50 | PyLongObject *l = (PyLongObject *)obj; |
d7ab1bab | 51 | int sz; |
52 | size_t w; | |
53 | mpd r = 0; | |
54 | int b = 0; | |
55 | int i; | |
56 | mp *x; | |
57 | mpw *p; | |
58 | ||
f7623015 MW |
59 | #ifdef PY3 |
60 | int ov; | |
61 | long j = PyLong_AsLongAndOverflow(obj, &ov); | |
62 | if (!ov) return mp_fromlong(MP_NEW, j); | |
63 | #endif | |
64 | ||
2a448f86 | 65 | sz = Py_SIZE(l); |
d7ab1bab | 66 | if (sz < 0) sz = -sz; |
67ae8797 | 67 | bits = (unsigned long)sz * PyLong_SHIFT; |
d7ab1bab | 68 | w = (bits + MPW_BITS - 1)/MPW_BITS; |
2a448f86 | 69 | x = mp_new(w, Py_SIZE(l) < 0 ? MP_NEG : 0); |
d7ab1bab | 70 | p = x->v; |
71 | for (i = 0; i < sz; i++) { | |
72 | r |= (mpd)l->ob_digit[i] << b; | |
67ae8797 | 73 | b += PyLong_SHIFT; |
d7ab1bab | 74 | while (b >= MPW_BITS) { |
75 | *p++ = MPW(r); | |
76 | r >>= MPW_BITS; | |
77 | b -= MPW_BITS; | |
78 | } | |
79 | } | |
80 | while (r) { | |
81 | *p++ = MPW(r); | |
82 | r >>= MPW_BITS; | |
83 | } | |
84 | x->vl = p; | |
85 | MP_SHRINK(x); | |
86 | return (x); | |
87 | } | |
88 | ||
f368b46e | 89 | PyObject *mp_topylong(mp *x) |
d7ab1bab | 90 | { |
91 | unsigned long bits = mp_bits(x); | |
67ae8797 | 92 | int sz = (bits + PyLong_SHIFT - 1)/PyLong_SHIFT; |
d7ab1bab | 93 | PyLongObject *l = _PyLong_New(sz); |
94 | mpd r = 0; | |
95 | int b = 0; | |
96 | mpw *p = x->v; | |
97 | int i = 0; | |
98 | ||
d7ab1bab | 99 | while (i < sz && p < x->vl) { |
f368b46e | 100 | r |= (mpd)*p++ << b; |
d7ab1bab | 101 | b += MPW_BITS; |
67ae8797 MW |
102 | while (i < sz && b >= PyLong_SHIFT) { |
103 | l->ob_digit[i++] = r & PyLong_MASK; | |
104 | r >>= PyLong_SHIFT; | |
105 | b -= PyLong_SHIFT; | |
d7ab1bab | 106 | } |
107 | } | |
108 | while (i < sz && r) { | |
67ae8797 MW |
109 | l->ob_digit[i++] = r & PyLong_MASK; |
110 | r >>= PyLong_SHIFT; | |
d7ab1bab | 111 | } |
2a448f86 | 112 | Py_SIZE(l) = (x->f & MP_NEG) ? -sz : sz; |
f368b46e | 113 | return ((PyObject *)l); |
d7ab1bab | 114 | } |
115 | ||
116 | mp *mp_frompyobject(PyObject *o, int radix) | |
117 | { | |
118 | mp *x; | |
119 | ||
2135a6d3 | 120 | if (TEXT_CHECK(o)) { |
d7ab1bab | 121 | mptext_stringctx sc; |
122 | mp *x; | |
2135a6d3 MW |
123 | size_t sz; |
124 | TEXT_PTRLEN(o, sc.buf, sz); sc.lim = sc.buf + sz; | |
d7ab1bab | 125 | x = mp_read(MP_NEW, radix, &mptext_stringops, &sc); |
126 | if (!x) return (0); | |
127 | if (sc.buf < sc.lim) { MP_DROP(x); return (0); } | |
128 | return (x); | |
129 | } | |
f368b46e MW |
130 | if ((x = tomp(o)) != 0) |
131 | return (x); | |
d7ab1bab | 132 | return (0); |
133 | } | |
134 | ||
135 | PyObject *mp_topystring(mp *x, int radix, const char *xpre, | |
136 | const char *pre, const char *post) | |
137 | { | |
138 | int len = mptext_len(x, radix) + 1; | |
139 | mptext_stringctx sc; | |
140 | PyObject *o; | |
141 | size_t xprelen = xpre ? strlen(xpre) : 0; | |
142 | size_t prelen = pre ? strlen(pre) : 0; | |
143 | size_t postlen = post ? strlen(post) : 0; | |
144 | char *p; | |
145 | MP_COPY(x); | |
2135a6d3 | 146 | TEXT_PREPAREWRITE(o, p, len + 1 + xprelen + prelen + postlen); |
d7ab1bab | 147 | sc.buf = p; |
148 | if (xpre) { memcpy(sc.buf, xpre, xprelen); sc.buf += xprelen; } | |
149 | if (MP_NEGP(x)) { *sc.buf++ = '-'; x = mp_neg(x, x); } | |
150 | if (pre) { memcpy(sc.buf, pre, prelen); sc.buf += prelen; } | |
151 | sc.lim = sc.buf + len; | |
152 | mp_write(x, radix, &mptext_stringops, &sc); | |
153 | if (post) { memcpy(sc.buf, post, postlen); sc.buf += postlen; } | |
154 | MP_DROP(x); | |
2135a6d3 | 155 | TEXT_DONEWRITE(o, sc.buf - p); |
d7ab1bab | 156 | return (o); |
157 | } | |
158 | ||
f368b46e MW |
159 | static int good_radix_p(int r, int readp) |
160 | { | |
161 | return ((r >= -255 && r <= -2) || | |
162 | (readp && r == 0) || | |
163 | (r >= 2 && r <= 62)); | |
164 | } | |
165 | ||
d7ab1bab | 166 | PyObject *mp_pywrap(mp *x) |
167 | { | |
168 | mp_pyobj *z = PyObject_New(mp_pyobj, mp_pytype); | |
169 | z->x = x; | |
170 | return ((PyObject *)z); | |
171 | } | |
172 | ||
173 | PyObject *gf_pywrap(mp *x) | |
174 | { | |
175 | mp_pyobj *z = PyObject_New(mp_pyobj, gf_pytype); | |
176 | z->x = x; | |
177 | return ((PyObject *)z); | |
178 | } | |
179 | ||
bc243788 | 180 | int mp_tolong_checked(mp *x, long *l, int must) |
d7ab1bab | 181 | { |
182 | static mp *longmin = 0, *longmax = 0; | |
183 | int rc = -1; | |
184 | ||
185 | if (!longmax) { | |
186 | longmin = mp_fromlong(MP_NEW, LONG_MIN); | |
187 | longmax = mp_fromlong(MP_NEW, LONG_MAX); | |
188 | } | |
bc243788 MW |
189 | if (MP_CMP(x, <, longmin) || MP_CMP(x, >, longmax)) { |
190 | if (must) VALERR("mp out of range for int"); | |
191 | else goto end; | |
192 | } | |
d7ab1bab | 193 | *l = mp_tolong(x); |
194 | rc = 0; | |
195 | end: | |
196 | return (rc); | |
197 | } | |
198 | ||
199 | /*----- Python interface --------------------------------------------------*/ | |
200 | ||
201 | static void mp_pydealloc(PyObject *o) | |
202 | { | |
203 | MP_DROP(MP_X(o)); | |
3aa33042 | 204 | FREEOBJ(o); |
d7ab1bab | 205 | } |
206 | ||
207 | static PyObject *mp_pyrepr(PyObject *o) | |
e38168e2 | 208 | { return mp_topystring(MP_X(o), 10, "MP(", 0, ")"); } |
d7ab1bab | 209 | |
210 | static PyObject *mp_pystr(PyObject *o) | |
211 | { return mp_topystring(MP_X(o), 10, 0, 0, 0); } | |
212 | ||
213 | mp *tomp(PyObject *o) | |
214 | { | |
215 | PyObject *l; | |
216 | mp *x; | |
217 | ||
77535854 | 218 | if (!o || PyFloat_Check(o)) |
d7ab1bab | 219 | return (0); |
220 | else if (MP_PYCHECK(o) || GF_PYCHECK(o)) | |
221 | return (MP_COPY(MP_X(o))); | |
222 | else if (FE_PYCHECK(o)) | |
223 | return (F_OUT(FE_F(o), MP_NEW, FE_X(o))); | |
224 | else if (PFILT_PYCHECK(o)) | |
225 | return (MP_COPY(PFILT_F(o)->m)); | |
226 | else if (ECPT_PYCHECK(o)) { | |
227 | ec p = EC_INIT; | |
46c13d77 | 228 | if (EC_ATINF(ECPT_P(o))) return (0); |
d7ab1bab | 229 | getecptout(&p, o); |
230 | x = MP_COPY(p.x); | |
231 | EC_DESTROY(&p); | |
232 | return (x); | |
233 | } else if (GE_PYCHECK(o)) { | |
234 | if ((x = G_TOINT(GE_G(o), MP_NEW, GE_X(o))) == 0) | |
235 | return (0); | |
236 | return (x); | |
6286102d | 237 | } |
f7623015 | 238 | #ifdef PY2 |
6286102d | 239 | else if (PyInt_Check(o)) |
d7ab1bab | 240 | return (mp_fromlong(MP_NEW, PyInt_AS_LONG(o))); |
f7623015 | 241 | #endif |
d7ab1bab | 242 | else if ((l = PyNumber_Long(o)) != 0) { |
f368b46e | 243 | x = mp_frompylong(l); |
d7ab1bab | 244 | Py_DECREF(l); |
245 | return (x); | |
246 | } else { | |
247 | PyErr_Clear(); | |
248 | return (0); | |
249 | } | |
250 | } | |
251 | ||
252 | mp *getmp(PyObject *o) | |
253 | { | |
254 | mp *x = 0; | |
255 | if (!o) return (0); | |
256 | if ((x = tomp(o)) == 0) { | |
257 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp", | |
2a448f86 | 258 | Py_TYPE(o)->tp_name); |
d7ab1bab | 259 | } |
260 | return (x); | |
261 | } | |
262 | ||
263 | int convmp(PyObject *o, void *p) | |
264 | { | |
265 | mp *x; | |
266 | if ((x = getmp(o)) == 0) return (0); | |
267 | *(mp **)p = x; | |
268 | return (1); | |
269 | } | |
270 | ||
271 | mp *getgf(PyObject *o) | |
272 | { | |
273 | mp *x = 0; | |
274 | if (!o) return (0); | |
275 | if ((x = tomp(o)) == 0) { | |
276 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf", | |
2a448f86 | 277 | Py_TYPE(o)->tp_name); |
d7ab1bab | 278 | } |
279 | return (x); | |
280 | } | |
281 | ||
282 | int convgf(PyObject *o, void *p) | |
283 | { | |
284 | mp *x; | |
285 | if ((x = getgf(o)) == 0) return (0); | |
286 | *(mp **)p = x; | |
287 | return (1); | |
288 | } | |
289 | ||
5b29dfaf | 290 | mp *implicitmp(PyObject *o) |
bf8910bd MW |
291 | { |
292 | if (!o || | |
293 | GF_PYCHECK(o) || | |
294 | ECPT_PYCHECK(o) || | |
295 | FE_PYCHECK(o) || | |
296 | GE_PYCHECK(o)) | |
297 | return (0); | |
298 | return (tomp(o)); | |
299 | } | |
300 | ||
5b29dfaf | 301 | mp *implicitgf(PyObject *o) |
bf8910bd MW |
302 | { |
303 | if (!o || | |
304 | MP_PYCHECK(o) || | |
305 | ECPT_PYCHECK(o) || | |
306 | FE_PYCHECK(o) || | |
307 | GE_PYCHECK(o)) | |
308 | return (0); | |
309 | return (tomp(o)); | |
310 | } | |
311 | ||
d7ab1bab | 312 | static int mpbinop(PyObject *x, PyObject *y, mp **xx, mp **yy) |
313 | { | |
bf8910bd MW |
314 | if ((*xx = implicitmp(x)) == 0) |
315 | return (-1); | |
316 | if ((*yy = implicitmp(y)) == 0) { | |
317 | MP_DROP(*xx); | |
318 | return (-1); | |
319 | } | |
320 | return (0); | |
321 | } | |
322 | ||
323 | static int gfbinop(PyObject *x, PyObject *y, mp **xx, mp **yy) | |
324 | { | |
325 | if ((*xx = implicitgf(x)) == 0) | |
d7ab1bab | 326 | return (-1); |
bf8910bd | 327 | if ((*yy = implicitgf(y)) == 0) { |
d7ab1bab | 328 | MP_DROP(*xx); |
329 | return (-1); | |
330 | } | |
331 | return (0); | |
332 | } | |
333 | ||
77535854 MW |
334 | #define FPBINOP(name, pyop) \ |
335 | static PyObject *mp_py##name(PyObject *x, PyObject *y) { \ | |
336 | mp *xx, *yy, *zz; \ | |
337 | PyObject *l, *rc; \ | |
338 | if (PyFloat_Check(x)) { \ | |
339 | l = mp_topylong(MP_X(y)); rc = PyNumber_##pyop(x, l); \ | |
340 | Py_DECREF(l); return (rc); \ | |
341 | } else if (PyFloat_Check(y)) { \ | |
342 | l = mp_topylong(MP_X(x)); rc = PyNumber_##pyop(l, y); \ | |
343 | Py_DECREF(l); return (rc); \ | |
344 | } \ | |
345 | if (mpbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ | |
346 | zz = mp_##name(MP_NEW, xx, yy); \ | |
347 | MP_DROP(xx); MP_DROP(yy); \ | |
348 | return (mp_pywrap(zz)); \ | |
349 | } | |
350 | FPBINOP(add, Add) | |
351 | FPBINOP(sub, Subtract) | |
352 | FPBINOP(mul, Multiply) | |
353 | ||
d7ab1bab | 354 | #define gf_and mp_and |
355 | #define gf_or mp_or | |
356 | #define gf_xor mp_xor | |
357 | #define BINOP(pre, name) \ | |
358 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ | |
359 | mp *xx, *yy, *zz; \ | |
bf8910bd | 360 | if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ |
d7ab1bab | 361 | zz = pre##_##name(MP_NEW, xx, yy); \ |
362 | MP_DROP(xx); MP_DROP(yy); \ | |
363 | return (pre##_pywrap(zz)); \ | |
364 | } | |
d7ab1bab | 365 | BINOP(mp, and2c) |
366 | BINOP(mp, or2c) | |
367 | BINOP(mp, xor2c) | |
368 | BINOP(gf, add) | |
369 | BINOP(gf, sub) | |
370 | BINOP(gf, mul) | |
371 | BINOP(gf, and) | |
372 | BINOP(gf, or) | |
373 | BINOP(gf, xor) | |
374 | #undef BINOP | |
375 | ||
376 | static mp *mp_abs(mp *d, mp *x) | |
377 | { | |
378 | if (MP_NEGP(x)) | |
379 | return (mp_neg(d, x)); | |
380 | MP_COPY(x); | |
381 | if (d) MP_DROP(d); | |
382 | return (x); | |
383 | } | |
384 | ||
385 | #define UNOP(pre, name) \ | |
386 | static PyObject *pre##_py##name(PyObject *x) \ | |
387 | { return mp_pywrap(pre##_##name(MP_NEW, MP_X(x))); } | |
388 | UNOP(mp, neg) | |
389 | UNOP(mp, abs) | |
390 | UNOP(mp, not2c) | |
391 | #undef UNOP | |
392 | ||
393 | static PyObject *mp_pyid(PyObject *x) { RETURN_OBJ(x); } | |
394 | ||
395 | #define gf_lsr mp_lsr | |
34e3dbc6 | 396 | #define SHIFTOP(pre, PRE, name, rname) \ |
d7ab1bab | 397 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ |
34e3dbc6 | 398 | PyObject *yix = 0; \ |
d7ab1bab | 399 | PyObject *z = 0; \ |
400 | long n; \ | |
34e3dbc6 MW |
401 | if (!PRE##_PYCHECK(x)) RETURN_NOTIMPL; \ |
402 | if (GF_PYCHECK(y) || FE_PYCHECK(y)) RETURN_NOTIMPL; \ | |
403 | yix = PyNumber_Index(y); if (!yix) { PyErr_Clear(); RETURN_NOTIMPL; } \ | |
404 | n = PyInt_AsLong(yix); Py_DECREF(yix); \ | |
405 | if (n == -1 && PyErr_Occurred()) { PyErr_Clear(); RETURN_NOTIMPL; } \ | |
406 | if (n < 0) z = pre##_pywrap(mp_##rname(MP_NEW, MP_X(x), -n)); \ | |
407 | else z = pre##_pywrap(mp_##name(MP_NEW, MP_X(x), n)); \ | |
d7ab1bab | 408 | return (z); \ |
409 | } | |
34e3dbc6 MW |
410 | SHIFTOP(mp, MP, lsl2c, lsr2c) |
411 | SHIFTOP(mp, MP, lsr2c, lsl2c) | |
412 | SHIFTOP(gf, GF, lsl, lsr) | |
413 | SHIFTOP(gf, GF, lsr, lsl) | |
d7ab1bab | 414 | #undef SHIFTOP |
415 | ||
416 | #define DIVOP(pre, name, qq, rr, gather) \ | |
417 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ | |
418 | mp *xx, *yy; \ | |
419 | PyObject *z = 0; \ | |
420 | INIT_##qq(q) INIT_##rr(r) \ | |
bf8910bd | 421 | if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ |
d7ab1bab | 422 | if (MP_ZEROP(yy)) \ |
423 | ZDIVERR("division by zero"); \ | |
424 | pre##_div(ARG_##qq(q), ARG_##rr(r), xx, yy); \ | |
425 | z = gather; \ | |
426 | end: \ | |
427 | MP_DROP(xx); MP_DROP(yy); \ | |
428 | return (z); \ | |
429 | } | |
430 | #define INIT_YES(p) mp *p = MP_NEW; | |
431 | #define INIT_NO(p) | |
432 | #define ARG_YES(p) &p | |
433 | #define ARG_NO(p) 0 | |
434 | DIVOP(mp, divmod, YES, YES, | |
435 | Py_BuildValue("(NN)", mp_pywrap(q), mp_pywrap(r))) | |
436 | DIVOP(mp, div, YES, NO, mp_pywrap(q)) | |
437 | DIVOP(mp, mod, NO, YES, mp_pywrap(r)) | |
438 | DIVOP(gf, divmod, YES, YES, | |
439 | Py_BuildValue("(NN)", gf_pywrap(q), gf_pywrap(r))) | |
440 | DIVOP(gf, div, YES, NO, gf_pywrap(q)) | |
441 | DIVOP(gf, mod, NO, YES, gf_pywrap(r)) | |
442 | #undef INIT_YES | |
443 | #undef INIT_NO | |
444 | #undef ARG_YES | |
445 | #undef ARG_NO | |
446 | #undef DIVOP | |
447 | ||
448 | static mp *mp_modinv_checked(mp *d, mp *x, mp *p) | |
449 | { | |
450 | mp *g = MP_NEW; | |
451 | mp_gcd(&g, 0, &d, p, x); | |
452 | if (!MP_EQ(g, MP_ONE)) { | |
453 | MP_DROP(g); MP_DROP(d); | |
454 | PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse"); | |
455 | return (0); | |
456 | } | |
457 | MP_DROP(g); return (d); | |
458 | } | |
459 | ||
460 | static PyObject *mp_pyexp(PyObject *x, PyObject *y, PyObject *z) | |
461 | { | |
462 | mp *xx = 0, *yy = 0, *zz = 0; | |
463 | mp *r = 0; | |
464 | PyObject *rc = 0; | |
465 | ||
bf8910bd | 466 | if ((xx = implicitmp(x)) == 0 || (yy = implicitmp(y)) == 0 || |
6311e4f7 | 467 | (z && z != Py_None && (zz = implicitmp(z)) == 0)) { |
d7ab1bab | 468 | mp_drop(xx); mp_drop(yy); mp_drop(zz); |
469 | RETURN_NOTIMPL; | |
470 | } | |
471 | if (!z || z == Py_None) { | |
472 | if (MP_NEGP(yy)) VALERR("negative exponent"); | |
473 | r = mp_exp(MP_NEW, xx, yy); | |
474 | } else { | |
475 | if (!MP_POSP(zz)) VALERR("modulus must be positive"); | |
476 | if (MP_NEGP(yy)) { | |
477 | if ((xx = mp_modinv_checked(xx, xx, zz)) == 0) goto end; | |
478 | yy = mp_neg(yy, yy); | |
479 | } | |
480 | if (MP_ODDP(zz)) { | |
481 | mpmont mm; | |
482 | mpmont_create(&mm, zz); | |
483 | r = mpmont_exp(&mm, MP_NEW, xx, yy); | |
484 | mpmont_destroy(&mm); | |
485 | } else { | |
486 | mpbarrett mb; | |
487 | mpbarrett_create(&mb, zz); | |
488 | r = mpbarrett_exp(&mb, MP_NEW, xx, yy); | |
489 | mpbarrett_destroy(&mb); | |
490 | } | |
491 | } | |
492 | rc = mp_pywrap(r); | |
493 | end: | |
494 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
495 | return (rc); | |
496 | } | |
497 | ||
498 | static mp *gf_modinv_checked(mp *d, mp *x, mp *p) | |
499 | { | |
500 | mp *g = MP_NEW; | |
501 | gf_gcd(&g, 0, &d, p, x); | |
502 | if (!MP_EQ(g, MP_ONE)) { | |
503 | MP_DROP(g); MP_DROP(d); | |
504 | PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse"); | |
505 | return (0); | |
506 | } | |
507 | MP_DROP(g); return (d); | |
508 | } | |
509 | ||
510 | #define BASEOP(name, radix, pre) \ | |
511 | static PyObject *mp_py##name(PyObject *x) \ | |
512 | { return mp_topystring(MP_X(x), radix, 0, pre, 0); } | |
f7623015 | 513 | #ifdef PY2 |
d7ab1bab | 514 | BASEOP(oct, 8, "0"); |
f7623015 | 515 | #endif |
d7ab1bab | 516 | BASEOP(hex, 16, "0x"); |
517 | #undef BASEOP | |
518 | ||
519 | static int mp_pynonzerop(PyObject *x) { return !MP_ZEROP(MP_X(x)); } | |
520 | ||
521 | static PyObject *mp_pyint(PyObject *x) | |
522 | { | |
523 | long l; | |
bc243788 MW |
524 | if (!mp_tolong_checked(MP_X(x), &l, 0)) return (PyInt_FromLong(l)); |
525 | else return mp_topylong(MP_X(x)); | |
d7ab1bab | 526 | } |
f7623015 | 527 | #ifdef PY2 |
d7ab1bab | 528 | static PyObject *mp_pylong(PyObject *x) |
f368b46e | 529 | { return (mp_topylong(MP_X(x))); } |
f7623015 | 530 | #endif |
d7ab1bab | 531 | static PyObject *mp_pyfloat(PyObject *x) |
532 | { | |
f368b46e | 533 | PyObject *l = mp_topylong(MP_X(x)); |
d7ab1bab | 534 | double f = PyLong_AsDouble(l); |
535 | Py_DECREF(l); | |
536 | return (PyFloat_FromDouble(f)); | |
537 | } | |
538 | ||
f7623015 | 539 | #ifdef PY2 |
b2687a0a | 540 | #define COERCE(pre, PRE) \ |
d7ab1bab | 541 | static int pre##_pycoerce(PyObject **x, PyObject **y) \ |
542 | { \ | |
543 | mp *z; \ | |
544 | \ | |
545 | if (PRE##_PYCHECK(*y)) { \ | |
546 | Py_INCREF(*x); Py_INCREF(*y); \ | |
547 | return (0); \ | |
548 | } \ | |
549 | if ((z = tomp(*y)) != 0) { \ | |
550 | Py_INCREF(*x); \ | |
551 | *y = pre##_pywrap(z); \ | |
552 | return (0); \ | |
553 | } \ | |
554 | return (1); \ | |
555 | } | |
556 | COERCE(mp, MP) | |
557 | COERCE(gf, GF) | |
558 | #undef COERCE | |
f7623015 | 559 | #endif |
d7ab1bab | 560 | |
77535854 MW |
561 | static PyObject *mp_pyrichcompare(PyObject *x, PyObject *y, int op) |
562 | { | |
563 | mp *xx, *yy; | |
564 | PyObject *l, *rc; | |
565 | if (PyFloat_Check(y)) { | |
566 | l = mp_topylong(MP_X(x)); rc = PyObject_RichCompare(l, y, op); | |
567 | Py_DECREF(l); return (rc); | |
568 | } | |
569 | if (mpbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; | |
570 | rc = enrich_compare(op, mp_cmp(xx, yy)); | |
571 | MP_DROP(xx); MP_DROP(yy); | |
572 | return (rc); | |
573 | } | |
574 | ||
f7623015 | 575 | #ifdef PY2 |
d7ab1bab | 576 | static int mp_pycompare(PyObject *x, PyObject *y) |
577 | { return mp_cmp(MP_X(x), MP_X(y)); } | |
f7623015 | 578 | #endif |
d7ab1bab | 579 | |
580 | static PyObject *mp_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
581 | { | |
582 | PyObject *x; | |
583 | mp *z; | |
584 | mp_pyobj *zz = 0; | |
585 | int radix = 0; | |
827f89d7 | 586 | static const char *const kwlist[] = { "x", "radix", 0 }; |
d7ab1bab | 587 | |
827f89d7 | 588 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:new", KWLIST, &x, &radix)) |
d7ab1bab | 589 | goto end; |
590 | if (MP_PYCHECK(x)) RETURN_OBJ(x); | |
f368b46e | 591 | if (!good_radix_p(radix, 1)) VALERR("bad radix"); |
d7ab1bab | 592 | if ((z = mp_frompyobject(x, radix)) == 0) { |
593 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp", | |
2a448f86 | 594 | Py_TYPE(x)->tp_name); |
d7ab1bab | 595 | goto end; |
596 | } | |
597 | zz = (mp_pyobj *)ty->tp_alloc(ty, 0); | |
598 | zz->x = z; | |
599 | end: | |
600 | return ((PyObject *)zz); | |
601 | } | |
602 | ||
d6d78edc | 603 | Py_hash_t mphash(mp *x) |
d7ab1bab | 604 | { |
be6df1c3 | 605 | PyObject *l = mp_topylong(x); |
d6d78edc | 606 | Py_hash_t h = PyObject_Hash(l); |
f368b46e | 607 | Py_DECREF(l); return (h); |
d7ab1bab | 608 | } |
609 | ||
d6d78edc | 610 | static Py_hash_t mp_pyhash(PyObject *me) { return (mphash(MP_X(me))); } |
be6df1c3 | 611 | |
d7ab1bab | 612 | static PyObject *mpmeth_jacobi(PyObject *me, PyObject *arg) |
613 | { | |
614 | mp *y = 0; | |
615 | PyObject *z = 0; | |
616 | ||
617 | if (!PyArg_ParseTuple(arg, "O&:jacobi", convmp, &y)) goto end; | |
618 | z = PyInt_FromLong(mp_jacobi(y, MP_X(me))); | |
619 | end: | |
620 | if (y) MP_DROP(y); | |
621 | return (z); | |
622 | } | |
623 | ||
624 | #define BITOP(pre, name, c) \ | |
625 | static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \ | |
626 | { \ | |
a1be89ad MW |
627 | unsigned long i; \ |
628 | if (!PyArg_ParseTuple(arg, "O&:" #name, convulong, &i)) return (0); \ | |
d7ab1bab | 629 | return (pre##_pywrap(mp_##name##c(MP_NEW, MP_X(me), i))); \ |
630 | } | |
631 | BITOP(mp, setbit, 2c); | |
632 | BITOP(mp, clearbit, 2c); | |
b2687a0a | 633 | BITOP(gf, setbit, ); |
d7ab1bab | 634 | BITOP(gf, clearbit, ); |
635 | #undef BITOP | |
636 | ||
637 | static PyObject *mpmeth_testbit(PyObject *me, PyObject *arg) | |
638 | { | |
a1be89ad MW |
639 | unsigned long i; |
640 | if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0); | |
d7ab1bab | 641 | return (getbool(mp_testbit2c(MP_X(me), i))); |
642 | } | |
643 | ||
644 | static PyObject *gfmeth_testbit(PyObject *me, PyObject *arg) | |
645 | { | |
a1be89ad MW |
646 | unsigned long i; |
647 | if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0); | |
d7ab1bab | 648 | return (getbool(mp_testbit(MP_X(me), i))); |
649 | } | |
650 | ||
91e56f06 | 651 | static PyObject *mpmeth_odd(PyObject *me) |
d7ab1bab | 652 | { |
653 | mp *t; | |
654 | size_t s; | |
655 | ||
d7ab1bab | 656 | t = mp_odd(MP_NEW, MP_X(me), &s); |
657 | return (Py_BuildValue("(lN)", (long)s, mp_pywrap(t))); | |
658 | } | |
659 | ||
91e56f06 MW |
660 | static PyObject *mpmeth_sqr(PyObject *me) |
661 | { return (mp_pywrap(mp_sqr(MP_NEW, MP_X(me)))); } | |
d7ab1bab | 662 | |
91e56f06 | 663 | static PyObject *mpmeth_sqrt(PyObject *me) |
d7ab1bab | 664 | { |
d7ab1bab | 665 | if (MP_NEGP(MP_X(me))) VALERR("negative root"); |
666 | return (mp_pywrap(mp_sqrt(MP_NEW, MP_X(me)))); | |
667 | end: | |
668 | return (0); | |
669 | } | |
670 | ||
671 | static PyObject *mpmeth_gcd(PyObject *me, PyObject *arg) | |
672 | { | |
673 | mp *y = 0, *zz = MP_NEW; | |
674 | PyObject *z = 0; | |
675 | ||
676 | if (!PyArg_ParseTuple(arg, "O&:gcd", convmp, &y)) goto end; | |
677 | mp_gcd(&zz, 0, 0, MP_X(me), y); | |
678 | z = mp_pywrap(zz); | |
679 | end: | |
680 | if (y) MP_DROP(y); | |
681 | return (z); | |
682 | } | |
683 | ||
684 | static PyObject *mpmeth_gcdx(PyObject *me, PyObject *arg) | |
685 | { | |
686 | PyObject *z = 0; | |
687 | mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW; | |
688 | ||
689 | if (!PyArg_ParseTuple(arg, "O&:gcdx", convmp, &yy)) goto end; | |
690 | mp_gcd(&zz, &uu, &vv, MP_X(me), yy); | |
691 | z = Py_BuildValue("(NNN)", | |
692 | mp_pywrap(zz), mp_pywrap(uu), mp_pywrap(vv)); | |
693 | end: | |
694 | if (yy) MP_DROP(yy); | |
695 | return (z); | |
696 | } | |
697 | ||
698 | static PyObject *mpmeth_modinv(PyObject *me, PyObject *arg) | |
699 | { | |
700 | PyObject *z = 0; | |
701 | mp *yy = 0, *zz = MP_NEW; | |
702 | ||
703 | if (!PyArg_ParseTuple(arg, "O&:modinv", convmp, &yy) || | |
704 | (zz = mp_modinv_checked(MP_NEW, yy, MP_X(me))) == 0) | |
705 | goto end; | |
706 | z = mp_pywrap(zz); | |
707 | end: | |
708 | if (yy) MP_DROP(yy); | |
709 | return (z); | |
710 | } | |
711 | ||
712 | static PyObject *mpmeth_tostring(PyObject *me, PyObject *arg, PyObject *kw) | |
713 | { | |
714 | int radix = 10; | |
827f89d7 MW |
715 | static const char *const kwlist[] = { "radix", 0 }; |
716 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:tostring", KWLIST, &radix)) | |
d7ab1bab | 717 | goto end; |
f368b46e | 718 | if (!good_radix_p(radix, 0)) VALERR("bad radix"); |
d7ab1bab | 719 | return (mp_topystring(MP_X(me), radix, 0, 0, 0)); |
720 | end: | |
721 | return (0); | |
722 | } | |
723 | ||
724 | static PyObject *mpmeth_modsqrt(PyObject *me, PyObject *arg) | |
725 | { | |
726 | PyObject *z = 0; | |
727 | mp *yy = 0, *zz = MP_NEW; | |
728 | ||
729 | if (!PyArg_ParseTuple(arg, "O&:modsqrt", convmp, &yy)) goto end; | |
730 | if ((zz = mp_modsqrt(MP_NEW, yy, MP_X(me))) == 0) | |
731 | VALERR("no modular square root"); | |
732 | z = mp_pywrap(zz); | |
733 | end: | |
734 | if (yy) MP_DROP(yy); | |
735 | return (z); | |
736 | } | |
737 | ||
d0d94587 MW |
738 | static PyObject *mpmeth_leastcongruent(PyObject *me, PyObject *arg) |
739 | { | |
740 | mp *z, *b, *m; | |
741 | PyObject *rc = 0; | |
742 | ||
743 | if (!PyArg_ParseTuple(arg, "O&O&:leastcongruent", convmp, &b, convmp, &m)) | |
744 | goto end; | |
745 | z = mp_leastcongruent(MP_NEW, b, MP_X(me), m); | |
746 | rc = mp_pywrap(z); | |
747 | end: | |
748 | return (rc); | |
749 | } | |
750 | ||
d7ab1bab | 751 | #define STOREOP(name, c) \ |
752 | static PyObject *mpmeth_##name(PyObject *me, \ | |
753 | PyObject *arg, PyObject *kw) \ | |
754 | { \ | |
755 | long len = -1; \ | |
a444923a | 756 | static const char *const kwlist[] = { "len", 0 }; \ |
d7ab1bab | 757 | PyObject *rc = 0; \ |
758 | \ | |
759 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|l:" #name, \ | |
827f89d7 | 760 | KWLIST, &len)) \ |
d7ab1bab | 761 | goto end; \ |
762 | if (len < 0) { \ | |
763 | len = mp_octets##c(MP_X(me)); \ | |
764 | if (!len) len = 1; \ | |
765 | } \ | |
766 | rc = bytestring_pywrap(0, len); \ | |
2135a6d3 | 767 | mp_##name(MP_X(me), BIN_PTR(rc), len); \ |
d7ab1bab | 768 | end: \ |
769 | return (rc); \ | |
770 | } | |
771 | STOREOP(storel, ) | |
772 | STOREOP(storeb, ) | |
773 | STOREOP(storel2c, 2c) | |
774 | STOREOP(storeb2c, 2c) | |
775 | #undef STOREOP | |
776 | ||
a157093f MW |
777 | #define BUFOP(ty) \ |
778 | static PyObject *ty##meth_frombuf(PyObject *me, PyObject *arg) \ | |
d7ab1bab | 779 | { \ |
780 | buf b; \ | |
67c75893 | 781 | struct bin in; \ |
d7ab1bab | 782 | PyObject *rc = 0; \ |
783 | mp *x; \ | |
784 | \ | |
67c75893 MW |
785 | if (!PyArg_ParseTuple(arg, "O&:frombuf", convbin, &in)) goto end; \ |
786 | buf_init(&b, (/*unconst*/ void *)in.p, in.sz); \ | |
d7ab1bab | 787 | if ((x = buf_getmp(&b)) == 0) VALERR("malformed data"); \ |
788 | rc = Py_BuildValue("(NN)", ty##_pywrap(x), \ | |
789 | bytestring_pywrapbuf(&b)); \ | |
790 | end: \ | |
791 | return (rc); \ | |
792 | } | |
a157093f MW |
793 | BUFOP(mp) |
794 | BUFOP(gf) | |
d7ab1bab | 795 | #undef BUFOP |
796 | ||
91e56f06 | 797 | static PyObject *mpmeth_tobuf(PyObject *me) |
d7ab1bab | 798 | { |
799 | buf b; | |
800 | PyObject *rc; | |
801 | mp *x; | |
802 | size_t n; | |
803 | ||
d7ab1bab | 804 | x = MP_X(me); |
805 | n = mp_octets(x) + 3; | |
806 | rc = bytestring_pywrap(0, n); | |
2135a6d3 | 807 | buf_init(&b, BIN_PTR(rc), n); |
d7ab1bab | 808 | buf_putmp(&b, x); |
809 | assert(BOK(&b)); | |
2135a6d3 | 810 | BIN_SETLEN(rc, BLEN(&b)); |
d7ab1bab | 811 | return (rc); |
812 | } | |
813 | ||
814 | static PyObject *mpmeth_primep(PyObject *me, PyObject *arg, PyObject *kw) | |
815 | { | |
816 | grand *r = &rand_global; | |
827f89d7 | 817 | static const char *const kwlist[] = { "rng", 0 }; |
d7ab1bab | 818 | PyObject *rc = 0; |
819 | ||
827f89d7 | 820 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&", KWLIST, convgrand, &r)) |
d7ab1bab | 821 | goto end; |
822 | rc = getbool(pgen_primep(MP_X(me), r)); | |
823 | end: | |
824 | return (rc); | |
825 | } | |
826 | ||
a157093f MW |
827 | static PyObject *mpmeth_fromstring(PyObject *me, |
828 | PyObject *arg, PyObject *kw) | |
f281293c MW |
829 | { |
830 | int r = 0; | |
831 | char *p; | |
832 | Py_ssize_t len; | |
833 | PyObject *z = 0; | |
834 | mp *zz; | |
835 | mptext_stringctx sc; | |
a157093f | 836 | static const char *const kwlist[] = { "x", "radix", 0 }; |
f281293c | 837 | |
a157093f MW |
838 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "s#|i:fromstring", KWLIST, |
839 | &p, &len, &r)) | |
f281293c MW |
840 | goto end; |
841 | if (!good_radix_p(r, 1)) VALERR("bad radix"); | |
842 | sc.buf = p; sc.lim = p + len; | |
843 | if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0) | |
844 | VALERR("bad integer"); | |
845 | z = Py_BuildValue("(Ns#)", mp_pywrap(zz), | |
846 | sc.buf, (Py_ssize_t)(sc.lim - sc.buf)); | |
847 | end: | |
848 | return (z); | |
849 | } | |
850 | ||
a157093f | 851 | static PyObject *mpmeth_factorial(PyObject *me, PyObject *arg) |
f281293c MW |
852 | { |
853 | unsigned long i; | |
854 | mp *x; | |
a157093f | 855 | if (!PyArg_ParseTuple(arg, "O&:factorial", convulong, &i)) return (0); |
f281293c MW |
856 | x = mp_factorial(i); |
857 | return mp_pywrap(x); | |
858 | } | |
859 | ||
a157093f | 860 | static PyObject *mpmeth_fibonacci(PyObject *me, PyObject *arg) |
f281293c MW |
861 | { |
862 | long i; | |
863 | mp *x; | |
a157093f | 864 | if (!PyArg_ParseTuple(arg, "l:fibonacci", &i)) return (0); |
f281293c MW |
865 | x = mp_fibonacci(i); |
866 | return mp_pywrap(x); | |
867 | } | |
868 | ||
a157093f MW |
869 | #define LOADOP(pre, name) \ |
870 | static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \ | |
f281293c | 871 | { \ |
67c75893 MW |
872 | struct bin in; \ |
873 | if (!PyArg_ParseTuple(arg, "O&:" #name, convbin, &in)) return (0); \ | |
874 | return (pre##_pywrap(mp_##name(MP_NEW, in.p, in.sz))); \ | |
f281293c | 875 | } |
a157093f MW |
876 | LOADOP(mp, loadl) |
877 | LOADOP(mp, loadb) | |
878 | LOADOP(mp, loadl2c) | |
879 | LOADOP(mp, loadb2c) | |
880 | LOADOP(gf, loadl) | |
881 | LOADOP(gf, loadb) | |
f281293c MW |
882 | #undef LOADOP |
883 | ||
d7ab1bab | 884 | static PyObject *mpget_nbits(PyObject *me, void *hunoz) |
885 | { return (PyInt_FromLong(mp_bits(MP_X(me)))); } | |
886 | ||
887 | static PyObject *mpget_noctets(PyObject *me, void *hunoz) | |
888 | { return (PyInt_FromLong(mp_octets(MP_X(me)))); } | |
889 | ||
890 | static PyObject *mpget_noctets2c(PyObject *me, void *hunoz) | |
891 | { return (PyInt_FromLong(mp_octets2c(MP_X(me)))); } | |
892 | ||
c90f712e | 893 | static const PyGetSetDef mp_pygetset[] = { |
d7ab1bab | 894 | #define GETSETNAME(op, func) mp##op##_##func |
895 | GET (nbits, "X.nbits -> bit length of X") | |
896 | GET (noctets, "X.noctets -> octet length of X") | |
897 | GET (noctets2c, "X.noctets2c -> two's complement octet length of X") | |
898 | #undef GETSETNAME | |
899 | { 0 } | |
900 | }; | |
901 | ||
c90f712e | 902 | static const PyMethodDef mp_pymethods[] = { |
d7ab1bab | 903 | #define METHNAME(func) mpmeth_##func |
c3060669 | 904 | METH (jacobi, "X.jacobi(Y) -> Jacobi symbol (Y|X) (NB inversion!)") |
d7ab1bab | 905 | METH (setbit, "X.setbit(N) -> X with bit N set") |
906 | METH (clearbit, "X.clearbit(N) -> X with bit N clear") | |
907 | METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X") | |
91e56f06 MW |
908 | NAMETH(odd, "X.odd() -> S, T where X = 2^S T with T odd") |
909 | NAMETH(sqr, "X.sqr() -> X^2") | |
910 | NAMETH(sqrt, "X.sqrt() -> largest integer <= sqrt(X)") | |
d7ab1bab | 911 | METH (gcd, "X.gcd(Y) -> gcd(X, Y)") |
d96c882e MW |
912 | METH (gcdx, "X.gcdx(Y) -> (gcd(X, Y), U, V) " |
913 | "with X U + Y V = gcd(X, Y)") | |
d7ab1bab | 914 | METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X") |
915 | METH (modsqrt, "X.modsqrt(Y) -> square root of Y mod X, if X prime") | |
d96c882e MW |
916 | METH (leastcongruent, "X.leastcongruent(B, M) -> " |
917 | "smallest Z >= B with Z == X (mod M)") | |
9edc275a | 918 | KWMETH(primep, "X.primep([rng = rand]) -> X is prime?") |
1df8d5fe MW |
919 | KWMETH(tostring, "X.tostring([radix = 10]) -> STR") |
920 | KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes") | |
921 | KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes") | |
d96c882e MW |
922 | KWMETH(storel2c, "X.storel2c([len = -1]) -> " |
923 | "little-endian bytes, two's complement") | |
924 | KWMETH(storeb2c, "X.storeb2c([len = -1]) -> " | |
925 | "big-endian bytes, two's complement") | |
91e56f06 | 926 | NAMETH(tobuf, "X.tobuf() -> buffer format") |
a157093f MW |
927 | KWSMTH(fromstring, "fromstring(STR, [radix = 0]) -> (X, REST)\n" |
928 | " Parse STR as a large integer, according to RADIX. If RADIX is\n" | |
929 | " zero, read a prefix from STR to decide radix: allow `0b' for binary,\n" | |
930 | " `0' or `0o' for octal, `0x' for hex, or `R_' for other radix R.") | |
931 | SMTH (factorial, "factorial(I) -> I!: compute factorial") | |
932 | SMTH (fibonacci, "fibonacci(I) -> F(I): compute Fibonacci number") | |
933 | SMTH (loadl, "loadl(STR) -> X: read little-endian bytes") | |
934 | SMTH (loadb, "loadb(STR) -> X: read big-endian bytes") | |
935 | SMTH (loadl2c, "loadl2c(STR) -> X: " | |
936 | "read little-endian bytes, two's complement") | |
937 | SMTH (loadb2c, "loadb2c(STR) -> X: " | |
938 | "read big-endian bytes, two's complement") | |
939 | SMTH (frombuf, "frombuf(STR) -> (X, REST): read buffer format") | |
d7ab1bab | 940 | #undef METHNAME |
941 | { 0 } | |
942 | }; | |
943 | ||
c90f712e | 944 | static const PyNumberMethods mp_pynumber = { |
d7ab1bab | 945 | mp_pyadd, /* @nb_add@ */ |
946 | mp_pysub, /* @nb_subtract@ */ | |
947 | mp_pymul, /* @nb_multiply@ */ | |
f7623015 | 948 | #ifdef PY2 |
d7ab1bab | 949 | 0, /* @nb_divide@ */ |
f7623015 | 950 | #endif |
d7ab1bab | 951 | mp_pymod, /* @nb_remainder@ */ |
952 | mp_pydivmod, /* @nb_divmod@ */ | |
953 | mp_pyexp, /* @nb_power@ */ | |
954 | mp_pyneg, /* @nb_negative@ */ | |
955 | mp_pyid, /* @nb_positive@ */ | |
956 | mp_pyabs, /* @nb_absolute@ */ | |
957 | mp_pynonzerop, /* @nb_nonzero@ */ | |
958 | mp_pynot2c, /* @nb_invert@ */ | |
959 | mp_pylsl2c, /* @nb_lshift@ */ | |
960 | mp_pylsr2c, /* @nb_rshift@ */ | |
961 | mp_pyand2c, /* @nb_and@ */ | |
962 | mp_pyxor2c, /* @nb_xor@ */ | |
963 | mp_pyor2c, /* @nb_or@ */ | |
f7623015 | 964 | #ifdef PY2 |
d7ab1bab | 965 | mp_pycoerce, /* @nb_coerce@ */ |
f7623015 | 966 | #endif |
d7ab1bab | 967 | mp_pyint, /* @nb_int@ */ |
f7623015 | 968 | PY23(mp_pylong, 0), /* @nb_long@ */ |
d7ab1bab | 969 | mp_pyfloat, /* @nb_float@ */ |
f7623015 | 970 | #ifdef PY2 |
d7ab1bab | 971 | mp_pyoct, /* @nb_oct@ */ |
972 | mp_pyhex, /* @nb_hex@ */ | |
f7623015 | 973 | #endif |
d7ab1bab | 974 | |
975 | 0, /* @nb_inplace_add@ */ | |
976 | 0, /* @nb_inplace_subtract@ */ | |
977 | 0, /* @nb_inplace_multiply@ */ | |
f7623015 | 978 | #ifdef PY2 |
d7ab1bab | 979 | 0, /* @nb_inplace_divide@ */ |
f7623015 | 980 | #endif |
d7ab1bab | 981 | 0, /* @nb_inplace_remainder@ */ |
982 | 0, /* @nb_inplace_power@ */ | |
983 | 0, /* @nb_inplace_lshift@ */ | |
984 | 0, /* @nb_inplace_rshift@ */ | |
985 | 0, /* @nb_inplace_and@ */ | |
986 | 0, /* @nb_inplace_xor@ */ | |
987 | 0, /* @nb_inplace_or@ */ | |
988 | ||
989 | mp_pydiv, /* @nb_floor_divide@ */ | |
990 | 0, /* @nb_true_divide@ */ | |
991 | 0, /* @nb_inplace_floor_divide@ */ | |
992 | 0, /* @nb_inplace_true_divide@ */ | |
a90a9c0e MW |
993 | |
994 | mp_pyint, /* @nb_index@ */ | |
d7ab1bab | 995 | }; |
996 | ||
c263b05c | 997 | static const PyTypeObject mp_pytype_skel = { |
591bf41b | 998 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 999 | "MP", /* @tp_name@ */ |
d7ab1bab | 1000 | sizeof(mp_pyobj), /* @tp_basicsize@ */ |
1001 | 0, /* @tp_itemsize@ */ | |
1002 | ||
1003 | mp_pydealloc, /* @tp_dealloc@ */ | |
1004 | 0, /* @tp_print@ */ | |
1005 | 0, /* @tp_getattr@ */ | |
1006 | 0, /* @tp_setattr@ */ | |
f7623015 | 1007 | PY23(mp_pycompare, 0), /* @tp_compare@/@tp_as_async@ */ |
d7ab1bab | 1008 | mp_pyrepr, /* @tp_repr@ */ |
c90f712e | 1009 | PYNUMBER(mp), /* @tp_as_number@ */ |
d7ab1bab | 1010 | 0, /* @tp_as_sequence@ */ |
1011 | 0, /* @tp_as_mapping@ */ | |
1012 | mp_pyhash, /* @tp_hash@ */ | |
1013 | 0, /* @tp_call@ */ | |
1014 | mp_pystr, /* @tp_str@ */ | |
1015 | 0, /* @tp_getattro@ */ | |
1016 | 0, /* @tp_setattro@ */ | |
1017 | 0, /* @tp_as_buffer@ */ | |
1018 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1019 | Py_TPFLAGS_CHECKTYPES | | |
1020 | Py_TPFLAGS_BASETYPE, | |
1021 | ||
1022 | /* @tp_doc@ */ | |
d96c882e MW |
1023 | "Multiprecision integers, similar to `long' but more efficient and\n" |
1024 | "versatile. Support all the standard arithmetic operations, with\n" | |
1025 | "implicit conversions from `PrimeFilter', and other objects which\n" | |
f7623015 | 1026 | "convert to `" PY23("long", "int") "'.\n" |
d96c882e MW |
1027 | "\n" |
1028 | "Constructor MP(X, [radix = R]) attempts to convert X to an `MP'. If\n" | |
1029 | "X is a string, it's read in radix-R form, or we look for a prefix\n" | |
1030 | "if R = 0. Other acceptable things are field elements, elliptic curve\n" | |
f7623015 | 1031 | PY23( |
d96c882e | 1032 | "points, group elements, Python `int' and `long' objects, and anything\n" |
f7623015 MW |
1033 | "with an integer conversion.\n", |
1034 | "points, group elements, Python `int' objects, and anything with an\n" | |
1035 | "integer conversion.\n") | |
d96c882e MW |
1036 | "\n" |
1037 | "Notes:\n" | |
1038 | "\n" | |
1039 | " * Use `//' for integer division: `/' gives exact rational division.", | |
d7ab1bab | 1040 | |
1041 | 0, /* @tp_traverse@ */ | |
1042 | 0, /* @tp_clear@ */ | |
77535854 | 1043 | mp_pyrichcompare, /* @tp_richcompare@ */ |
d7ab1bab | 1044 | 0, /* @tp_weaklistoffset@ */ |
1045 | 0, /* @tp_iter@ */ | |
963a6148 | 1046 | 0, /* @tp_iternext@ */ |
c90f712e | 1047 | PYMETHODS(mp), /* @tp_methods@ */ |
d7ab1bab | 1048 | 0, /* @tp_members@ */ |
c90f712e | 1049 | PYGETSET(mp), /* @tp_getset@ */ |
d7ab1bab | 1050 | 0, /* @tp_base@ */ |
1051 | 0, /* @tp_dict@ */ | |
1052 | 0, /* @tp_descr_get@ */ | |
1053 | 0, /* @tp_descr_set@ */ | |
1054 | 0, /* @tp_dictoffset@ */ | |
1055 | 0, /* @tp_init@ */ | |
1056 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1057 | mp_pynew, /* @tp_new@ */ | |
3aa33042 | 1058 | 0, /* @tp_free@ */ |
d7ab1bab | 1059 | 0 /* @tp_is_gc@ */ |
1060 | }; | |
1061 | ||
32507e35 MW |
1062 | /*----- Products of small integers ----------------------------------------*/ |
1063 | ||
c263b05c MW |
1064 | static PyTypeObject *mpmul_pytype; |
1065 | ||
32507e35 MW |
1066 | typedef struct mpmul_pyobj { |
1067 | PyObject_HEAD | |
1068 | int livep; | |
1069 | mpmul mm; | |
1070 | } mpmul_pyobj; | |
1071 | ||
1072 | #define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep) | |
1073 | #define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm) | |
1074 | ||
1075 | static void mpmul_pydealloc(PyObject *me) | |
1076 | { | |
1077 | if (MPMUL_LIVEP(me)) | |
1078 | mp_drop(mpmul_done(MPMUL_PY(me))); | |
1079 | FREEOBJ(me); | |
1080 | } | |
1081 | ||
1082 | static PyObject *mmmeth_factor(PyObject *me, PyObject *arg) | |
d7ab1bab | 1083 | { |
d7ab1bab | 1084 | PyObject *q, *i; |
1085 | mp *x; | |
1086 | ||
32507e35 | 1087 | if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid"); |
c51a597d | 1088 | if (PyTuple_GET_SIZE(arg) != 1) |
d7ab1bab | 1089 | i = PyObject_GetIter(arg); |
32507e35 | 1090 | else { |
c51a597d | 1091 | if ((q = PyTuple_GET_ITEM(arg, 0)) == 0) goto end; |
d7ab1bab | 1092 | if ((i = PyObject_GetIter(q)) == 0) { |
1093 | PyErr_Clear(); /* that's ok */ | |
1094 | i = PyObject_GetIter(arg); | |
1095 | } | |
1096 | } | |
32507e35 | 1097 | if (!i) goto end; |
d7ab1bab | 1098 | while ((q = PyIter_Next(i)) != 0) { |
1099 | x = getmp(q); Py_DECREF(q); if (!x) { | |
d7ab1bab | 1100 | Py_DECREF(i); |
32507e35 | 1101 | goto end; |
d7ab1bab | 1102 | } |
32507e35 | 1103 | mpmul_add(MPMUL_PY(me), x); |
d7ab1bab | 1104 | MP_DROP(x); |
1105 | } | |
d7ab1bab | 1106 | Py_DECREF(i); |
32507e35 MW |
1107 | RETURN_ME; |
1108 | end: | |
1109 | return (0); | |
1110 | } | |
1111 | ||
91e56f06 | 1112 | static PyObject *mmmeth_done(PyObject *me) |
32507e35 MW |
1113 | { |
1114 | mp *x; | |
1115 | ||
32507e35 MW |
1116 | if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid"); |
1117 | x = mpmul_done(MPMUL_PY(me)); | |
1118 | MPMUL_LIVEP(me) = 0; | |
d7ab1bab | 1119 | return (mp_pywrap(x)); |
32507e35 MW |
1120 | end: |
1121 | return (0); | |
d7ab1bab | 1122 | } |
1123 | ||
32507e35 MW |
1124 | static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) |
1125 | { | |
1126 | mpmul_pyobj *mm; | |
1127 | ||
1128 | if (kw) TYERR("keyword arguments not allowed here"); | |
1129 | mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0); | |
1130 | mpmul_init(&mm->mm); | |
1131 | mm->livep = 1; | |
1132 | if (mmmeth_factor((PyObject *)mm, arg) == 0) { | |
1133 | Py_DECREF(mm); | |
1134 | goto end; | |
d7ab1bab | 1135 | } |
32507e35 MW |
1136 | return ((PyObject *)mm); |
1137 | end: | |
1138 | return (0); | |
1139 | } | |
1140 | ||
1141 | static PyObject *mmget_livep(PyObject *me, void *hunoz) | |
1142 | { return (getbool(MPMUL_LIVEP(me))); } | |
1143 | ||
c90f712e | 1144 | static const PyGetSetDef mpmul_pygetset[] = { |
32507e35 | 1145 | #define GETSETNAME(op, name) mm##op##_##name |
d96c882e | 1146 | GET (livep, "MM.livep -> flag: object still valid?") |
32507e35 MW |
1147 | #undef GETSETNAME |
1148 | { 0 } | |
1149 | }; | |
1150 | ||
c90f712e | 1151 | static const PyMethodDef mpmul_pymethods[] = { |
32507e35 | 1152 | #define METHNAME(name) mmmeth_##name |
d96c882e | 1153 | METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)") |
91e56f06 | 1154 | NAMETH(done, "MM.done() -> PRODUCT") |
32507e35 MW |
1155 | #undef METHNAME |
1156 | { 0 } | |
1157 | }; | |
1158 | ||
c263b05c | 1159 | static const PyTypeObject mpmul_pytype_skel = { |
591bf41b | 1160 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1161 | "MPMul", /* @tp_name@ */ |
32507e35 MW |
1162 | sizeof(mpmul_pyobj), /* @tp_basicsize@ */ |
1163 | 0, /* @tp_itemsize@ */ | |
1164 | ||
1165 | mpmul_pydealloc, /* @tp_dealloc@ */ | |
1166 | 0, /* @tp_print@ */ | |
1167 | 0, /* @tp_getattr@ */ | |
1168 | 0, /* @tp_setattr@ */ | |
1169 | 0, /* @tp_compare@ */ | |
1170 | 0, /* @tp_repr@ */ | |
1171 | 0, /* @tp_as_number@ */ | |
1172 | 0, /* @tp_as_sequence@ */ | |
1173 | 0, /* @tp_as_mapping@ */ | |
1174 | 0, /* @tp_hash@ */ | |
1175 | 0, /* @tp_call@ */ | |
1176 | 0, /* @tp_str@ */ | |
1177 | 0, /* @tp_getattro@ */ | |
1178 | 0, /* @tp_setattro@ */ | |
1179 | 0, /* @tp_as_buffer@ */ | |
1180 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1181 | Py_TPFLAGS_BASETYPE, | |
1182 | ||
1183 | /* @tp_doc@ */ | |
d96c882e | 1184 | "MPMul(N_0, N_1, ....): an object for multiplying many small integers.", |
32507e35 MW |
1185 | |
1186 | 0, /* @tp_traverse@ */ | |
1187 | 0, /* @tp_clear@ */ | |
1188 | 0, /* @tp_richcompare@ */ | |
1189 | 0, /* @tp_weaklistoffset@ */ | |
1190 | 0, /* @tp_iter@ */ | |
1191 | 0, /* @tp_iternext@ */ | |
c90f712e | 1192 | PYMETHODS(mpmul), /* @tp_methods@ */ |
32507e35 | 1193 | 0, /* @tp_members@ */ |
c90f712e | 1194 | PYGETSET(mpmul), /* @tp_getset@ */ |
32507e35 MW |
1195 | 0, /* @tp_base@ */ |
1196 | 0, /* @tp_dict@ */ | |
1197 | 0, /* @tp_descr_get@ */ | |
1198 | 0, /* @tp_descr_set@ */ | |
1199 | 0, /* @tp_dictoffset@ */ | |
1200 | 0, /* @tp_init@ */ | |
1201 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1202 | mpmul_pynew, /* @tp_new@ */ | |
1203 | 0, /* @tp_free@ */ | |
1204 | 0 /* @tp_is_gc@ */ | |
1205 | }; | |
d7ab1bab | 1206 | |
1207 | /*----- Montgomery reduction ----------------------------------------------*/ | |
1208 | ||
c263b05c MW |
1209 | static PyTypeObject *mpmont_pytype; |
1210 | ||
d7ab1bab | 1211 | typedef struct mpmont_pyobj { |
1212 | PyObject_HEAD | |
1213 | mpmont mm; | |
1214 | } mpmont_pyobj; | |
1215 | ||
1216 | #define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm) | |
1217 | ||
1218 | static PyObject *mmmeth_int(PyObject *me, PyObject *arg) | |
1219 | { | |
1220 | PyObject *z = 0; | |
1221 | mp *yy = 0; | |
1222 | mpmont *mm = MPMONT_PY(me); | |
1223 | ||
1224 | if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy)) | |
1225 | goto end; | |
1226 | mp_div(0, &yy, yy, mm->m); | |
1227 | z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2)); | |
1228 | end: | |
1229 | if (yy) MP_DROP(yy); | |
1230 | return (z); | |
1231 | } | |
1232 | ||
1233 | static PyObject *mmmeth_mul(PyObject *me, PyObject *arg) | |
1234 | { | |
1235 | PyObject *rc = 0; | |
1236 | mp *yy = 0, *zz = 0; | |
1237 | ||
1238 | if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz)) | |
1239 | goto end; | |
1240 | rc = mp_pywrap(mpmont_mul(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1241 | end: | |
1242 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1243 | return (rc); | |
1244 | } | |
1245 | ||
1246 | static PyObject *mmmeth_exp(PyObject *me, PyObject *arg) | |
1247 | { | |
1248 | PyObject *rc = 0; | |
1249 | mp *yy = 0, *zz = 0; | |
1250 | ||
1251 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1252 | goto end; | |
1253 | if (MP_NEGP(zz)) { | |
1254 | if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end; | |
1255 | zz = mp_neg(zz, zz); | |
1256 | } | |
1257 | rc = mp_pywrap(mpmont_exp(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1258 | end: | |
1259 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1260 | return (rc); | |
1261 | } | |
1262 | ||
1263 | static PyObject *mmmeth_expr(PyObject *me, PyObject *arg) | |
1264 | { | |
1265 | PyObject *rc = 0; | |
1266 | mp *yy = 0, *zz = 0; | |
1267 | ||
1268 | if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz)) | |
1269 | goto end; | |
1270 | if (MP_NEGP(zz)) { | |
1271 | yy = mpmont_reduce(MPMONT_PY(me), yy, yy); | |
1272 | if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end; | |
1273 | yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2); | |
1274 | zz = mp_neg(zz, zz); | |
1275 | } | |
1276 | rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1277 | end: | |
1278 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1279 | return (rc); | |
1280 | } | |
1281 | ||
1282 | static PyObject *mm_mexpr_id(PyObject *me) | |
1283 | { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); } | |
1284 | ||
1285 | static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y) | |
1286 | { | |
1287 | mp *xx = 0, *yy = 0; | |
1288 | mp_expfactor *f = p; | |
1289 | mpmont *mm = MPMONT_PY(me); | |
1290 | ||
1291 | if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0) | |
1292 | goto fail; | |
1293 | if (MP_NEGP(yy)) { | |
1294 | xx = mpmont_reduce(mm, xx, xx); | |
1295 | if ((xx = mp_modinv_checked(xx, xx, yy)) == 0) | |
1296 | goto fail; | |
1297 | xx = mpmont_mul(mm, xx, xx, mm->r2); | |
1298 | yy = mp_neg(yy, yy); | |
1299 | } | |
1300 | f->base = xx; | |
1301 | f->exp = yy; | |
1302 | return (0); | |
1303 | ||
1304 | fail: | |
1305 | mp_drop(xx); mp_drop(yy); | |
1306 | return (-1); | |
1307 | } | |
1308 | ||
1309 | static PyObject *mm_mexpr(PyObject *me, void *v, int n) | |
1310 | { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); } | |
b2687a0a | 1311 | |
d7ab1bab | 1312 | static void mp_mexp_drop(void *p) |
1313 | { | |
1314 | mp_expfactor *f = p; | |
1315 | mp_drop(f->base); | |
1316 | mp_drop(f->exp); | |
1317 | } | |
1318 | ||
1319 | static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg) | |
1320 | { | |
1321 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1322 | mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop); | |
1323 | } | |
1324 | ||
1325 | static PyObject *mp_mexp_id(PyObject *me) | |
1326 | { return mp_pywrap(MP_ONE); } | |
1327 | ||
1328 | static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y) | |
1329 | { | |
1330 | mp *xx = 0, *yy = 0; | |
1331 | mp_expfactor *f = p; | |
1332 | ||
1333 | if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0) | |
1334 | goto fail; | |
1335 | if (MP_NEGP(yy)) { | |
1336 | if ((xx = mp_modinv_checked(xx, xx, yy)) == 0) | |
1337 | goto fail; | |
1338 | yy = mp_neg(yy, yy); | |
1339 | } | |
1340 | f->base = xx; | |
1341 | f->exp = yy; | |
1342 | return (0); | |
1343 | ||
1344 | fail: | |
1345 | mp_drop(xx); mp_drop(yy); | |
1346 | return (-1); | |
1347 | } | |
1348 | ||
1349 | static PyObject *mm_mexp(PyObject *me, void *v, int n) | |
1350 | { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); } | |
b2687a0a | 1351 | |
d7ab1bab | 1352 | static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg) |
1353 | { | |
1354 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1355 | mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop); | |
1356 | } | |
1357 | ||
1358 | #define mmmeth_ext mmmeth_reduce | |
1359 | static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg) | |
1360 | { | |
1361 | PyObject *z = 0; | |
1362 | mp *yy = 0; | |
1363 | ||
1364 | if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end; | |
1365 | z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy)); | |
1366 | end: | |
1367 | return (z); | |
1368 | } | |
1369 | ||
1370 | static void mpmont_pydealloc(PyObject *me) | |
1371 | { | |
1372 | mpmont_destroy(MPMONT_PY(me)); | |
3aa33042 | 1373 | FREEOBJ(me); |
d7ab1bab | 1374 | } |
1375 | ||
1376 | static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1377 | { | |
1378 | mpmont_pyobj *mm = 0; | |
827f89d7 | 1379 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1380 | mp *xx = 0; |
1381 | ||
827f89d7 | 1382 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1383 | goto end; |
1384 | if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd"); | |
1385 | mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0); | |
1386 | mpmont_create(&mm->mm, xx); | |
1387 | end: | |
1388 | if (xx) MP_DROP(xx); | |
1389 | return ((PyObject *)mm); | |
1390 | } | |
1391 | ||
1392 | static PyObject *mmget_m(PyObject *me, void *hunoz) | |
1393 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); } | |
1394 | ||
1395 | static PyObject *mmget_r(PyObject *me, void *hunoz) | |
1396 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); } | |
1397 | ||
1398 | static PyObject *mmget_r2(PyObject *me, void *hunoz) | |
1399 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); } | |
1400 | ||
c90f712e | 1401 | static const PyGetSetDef mpmont_pygetset[] = { |
d7ab1bab | 1402 | #define GETSETNAME(op, name) mm##op##_##name |
1403 | GET (m, "M.m -> modulus for reduction") | |
1404 | GET (r, "M.r -> multiplicative identity") | |
1405 | GET (r2, "M.r2 -> M.r^2, Montgomerization factor") | |
1406 | #undef GETSETNAME | |
1407 | { 0 } | |
1408 | }; | |
1409 | ||
c90f712e | 1410 | static const PyMethodDef mpmont_pymethods[] = { |
d7ab1bab | 1411 | #define METHNAME(name) mmmeth_##name |
986bcc44 | 1412 | METH (int, "M.int(X) -> XR") |
d7ab1bab | 1413 | METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y") |
1414 | METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m") | |
d96c882e MW |
1415 | METH (mexpr, "M.mexpr([(XR0, N0), (XR1, N1), ...]) = ZR " |
1416 | "where Z = X0^N0 X1^N1 ... mod M.m\n" | |
1417 | "\t(the list may be flattened if this more convenient.)") | |
d7ab1bab | 1418 | METH (reduce, "M.reduce(XR) -> X") |
1419 | METH (ext, "M.ext(XR) -> X") | |
1420 | METH (exp, "M.exp(X, N) -> X^N mod M.m") | |
d96c882e MW |
1421 | METH (mexp, "M.mexp([(X0, N0), (X1, N1), ...]) = " |
1422 | "X0^N0 X1^N1 ... mod M.m\n" | |
1423 | "\t(the list may be flattened if this more convenient.)") | |
d7ab1bab | 1424 | #undef METHNAME |
1425 | { 0 } | |
1426 | }; | |
1427 | ||
c263b05c | 1428 | static const PyTypeObject mpmont_pytype_skel = { |
591bf41b | 1429 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1430 | "MPMont", /* @tp_name@ */ |
d7ab1bab | 1431 | sizeof(mpmont_pyobj), /* @tp_basicsize@ */ |
1432 | 0, /* @tp_itemsize@ */ | |
1433 | ||
1434 | mpmont_pydealloc, /* @tp_dealloc@ */ | |
1435 | 0, /* @tp_print@ */ | |
1436 | 0, /* @tp_getattr@ */ | |
1437 | 0, /* @tp_setattr@ */ | |
1438 | 0, /* @tp_compare@ */ | |
1439 | 0, /* @tp_repr@ */ | |
1440 | 0, /* @tp_as_number@ */ | |
1441 | 0, /* @tp_as_sequence@ */ | |
1442 | 0, /* @tp_as_mapping@ */ | |
1443 | 0, /* @tp_hash@ */ | |
1444 | 0, /* @tp_call@ */ | |
1445 | 0, /* @tp_str@ */ | |
1446 | 0, /* @tp_getattro@ */ | |
1447 | 0, /* @tp_setattro@ */ | |
1448 | 0, /* @tp_as_buffer@ */ | |
1449 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1450 | Py_TPFLAGS_BASETYPE, | |
1451 | ||
1452 | /* @tp_doc@ */ | |
d96c882e | 1453 | "MPMont(N): a Montgomery reduction context.", |
d7ab1bab | 1454 | |
1455 | 0, /* @tp_traverse@ */ | |
1456 | 0, /* @tp_clear@ */ | |
1457 | 0, /* @tp_richcompare@ */ | |
1458 | 0, /* @tp_weaklistoffset@ */ | |
1459 | 0, /* @tp_iter@ */ | |
963a6148 | 1460 | 0, /* @tp_iternext@ */ |
c90f712e | 1461 | PYMETHODS(mpmont), /* @tp_methods@ */ |
d7ab1bab | 1462 | 0, /* @tp_members@ */ |
c90f712e | 1463 | PYGETSET(mpmont), /* @tp_getset@ */ |
d7ab1bab | 1464 | 0, /* @tp_base@ */ |
1465 | 0, /* @tp_dict@ */ | |
1466 | 0, /* @tp_descr_get@ */ | |
1467 | 0, /* @tp_descr_set@ */ | |
1468 | 0, /* @tp_dictoffset@ */ | |
1469 | 0, /* @tp_init@ */ | |
1470 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1471 | mpmont_pynew, /* @tp_new@ */ | |
3aa33042 | 1472 | 0, /* @tp_free@ */ |
d7ab1bab | 1473 | 0 /* @tp_is_gc@ */ |
1474 | }; | |
1475 | ||
1476 | /*----- Barrett reduction -------------------------------------------------*/ | |
1477 | ||
c263b05c MW |
1478 | static PyTypeObject *mpbarrett_pytype; |
1479 | ||
d7ab1bab | 1480 | typedef struct mpbarrett_pyobj { |
1481 | PyObject_HEAD | |
1482 | mpbarrett mb; | |
1483 | } mpbarrett_pyobj; | |
1484 | ||
1485 | #define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb) | |
1486 | ||
1487 | static PyObject *mbmeth_exp(PyObject *me, PyObject *arg) | |
1488 | { | |
1489 | PyObject *rc = 0; | |
1490 | mp *yy = 0, *zz = 0; | |
1491 | ||
1492 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1493 | goto end; | |
1494 | if (MP_NEGP(zz)) { | |
1495 | if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end; | |
1496 | zz = mp_neg(zz, zz); | |
1497 | } | |
1498 | rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz)); | |
1499 | end: | |
1500 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1501 | return (rc); | |
1502 | } | |
1503 | ||
1504 | static PyObject *mb_mexp(PyObject *me, void *v, int n) | |
1505 | { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); } | |
b2687a0a | 1506 | |
d7ab1bab | 1507 | static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg) |
1508 | { | |
1509 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1510 | mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop); | |
1511 | } | |
1512 | ||
1513 | static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg) | |
1514 | { | |
1515 | PyObject *z = 0; | |
1516 | mp *yy = 0; | |
1517 | ||
1518 | if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) | |
1519 | goto end; | |
1520 | z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy)); | |
1521 | end: | |
1522 | return (z); | |
1523 | } | |
1524 | ||
1525 | static void mpbarrett_pydealloc(PyObject *me) | |
1526 | { | |
1527 | mpbarrett_destroy(MPBARRETT_PY(me)); | |
3aa33042 | 1528 | FREEOBJ(me); |
d7ab1bab | 1529 | } |
1530 | ||
1531 | static PyObject *mpbarrett_pynew(PyTypeObject *ty, | |
1532 | PyObject *arg, PyObject *kw) | |
1533 | { | |
1534 | mpbarrett_pyobj *mb = 0; | |
827f89d7 | 1535 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1536 | mp *xx = 0; |
1537 | ||
827f89d7 | 1538 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1539 | goto end; |
1540 | if (!MP_POSP(xx)) VALERR("m must be positive"); | |
1541 | mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0); | |
1542 | mpbarrett_create(&mb->mb, xx); | |
1543 | end: | |
1544 | if (xx) MP_DROP(xx); | |
1545 | return ((PyObject *)mb); | |
1546 | } | |
1547 | ||
1548 | static PyObject *mbget_m(PyObject *me, void *hunoz) | |
1549 | { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); } | |
1550 | ||
c90f712e | 1551 | static const PyGetSetDef mpbarrett_pygetset[] = { |
d7ab1bab | 1552 | #define GETSETNAME(op, name) mb##op##_##name |
1553 | GET (m, "B.m -> modulus for reduction") | |
1554 | #undef GETSETNAME | |
1555 | { 0 } | |
1556 | }; | |
1557 | ||
c90f712e | 1558 | static const PyMethodDef mpbarrett_pymethods[] = { |
d7ab1bab | 1559 | #define METHNAME(name) mbmeth_##name |
1560 | METH (reduce, "B.reduce(X) -> X mod B.m") | |
1561 | METH (exp, "B.exp(X, N) -> X^N mod B.m") | |
d96c882e MW |
1562 | METH (mexp, "B.mexp([(X0, N0), (X1, N1), ...]) = " |
1563 | "X0^N0 X1^N1 ... mod B.m\n" | |
1564 | "\t(the list may be flattened if this more convenient.)") | |
d7ab1bab | 1565 | #undef METHNAME |
1566 | { 0 } | |
1567 | }; | |
1568 | ||
c263b05c | 1569 | static const PyTypeObject mpbarrett_pytype_skel = { |
591bf41b | 1570 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1571 | "MPBarrett", /* @tp_name@ */ |
d7ab1bab | 1572 | sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */ |
1573 | 0, /* @tp_itemsize@ */ | |
1574 | ||
1575 | mpbarrett_pydealloc, /* @tp_dealloc@ */ | |
1576 | 0, /* @tp_print@ */ | |
1577 | 0, /* @tp_getattr@ */ | |
1578 | 0, /* @tp_setattr@ */ | |
1579 | 0, /* @tp_compare@ */ | |
1580 | 0, /* @tp_repr@ */ | |
1581 | 0, /* @tp_as_number@ */ | |
1582 | 0, /* @tp_as_sequence@ */ | |
1583 | 0, /* @tp_as_mapping@ */ | |
1584 | 0, /* @tp_hash@ */ | |
1585 | 0, /* @tp_call@ */ | |
1586 | 0, /* @tp_str@ */ | |
1587 | 0, /* @tp_getattro@ */ | |
1588 | 0, /* @tp_setattro@ */ | |
1589 | 0, /* @tp_as_buffer@ */ | |
1590 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1591 | Py_TPFLAGS_BASETYPE, | |
1592 | ||
1593 | /* @tp_doc@ */ | |
d96c882e | 1594 | "MPBarrett(N): a Barrett reduction context.", |
d7ab1bab | 1595 | |
1596 | 0, /* @tp_traverse@ */ | |
1597 | 0, /* @tp_clear@ */ | |
1598 | 0, /* @tp_richcompare@ */ | |
1599 | 0, /* @tp_weaklistoffset@ */ | |
1600 | 0, /* @tp_iter@ */ | |
963a6148 | 1601 | 0, /* @tp_iternext@ */ |
c90f712e | 1602 | PYMETHODS(mpbarrett), /* @tp_methods@ */ |
d7ab1bab | 1603 | 0, /* @tp_members@ */ |
c90f712e | 1604 | PYGETSET(mpbarrett), /* @tp_getset@ */ |
d7ab1bab | 1605 | 0, /* @tp_base@ */ |
1606 | 0, /* @tp_dict@ */ | |
1607 | 0, /* @tp_descr_get@ */ | |
1608 | 0, /* @tp_descr_set@ */ | |
1609 | 0, /* @tp_dictoffset@ */ | |
1610 | 0, /* @tp_init@ */ | |
1611 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1612 | mpbarrett_pynew, /* @tp_new@ */ | |
3aa33042 | 1613 | 0, /* @tp_free@ */ |
d7ab1bab | 1614 | 0 /* @tp_is_gc@ */ |
1615 | }; | |
1616 | ||
1617 | /*----- Nice prime reduction ----------------------------------------------*/ | |
1618 | ||
c263b05c MW |
1619 | static PyTypeObject *mpreduce_pytype; |
1620 | ||
d7ab1bab | 1621 | typedef struct mpreduce_pyobj { |
1622 | PyObject_HEAD | |
1623 | mpreduce mr; | |
1624 | } mpreduce_pyobj; | |
1625 | ||
1626 | #define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr) | |
1627 | ||
1628 | static PyObject *mrmeth_exp(PyObject *me, PyObject *arg) | |
1629 | { | |
1630 | PyObject *rc = 0; | |
1631 | mp *yy = 0, *zz = 0; | |
1632 | ||
1633 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1634 | goto end; | |
1635 | if (MP_NEGP(zz)) { | |
1636 | if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end; | |
1637 | zz = mp_neg(zz, zz); | |
1638 | } | |
1639 | rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz)); | |
1640 | end: | |
1641 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1642 | return (rc); | |
1643 | } | |
1644 | ||
1645 | static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg) | |
1646 | { | |
1647 | PyObject *z = 0; | |
1648 | mp *yy = 0; | |
1649 | ||
1650 | if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end; | |
1651 | z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy)); | |
1652 | end: | |
1653 | return (z); | |
1654 | } | |
1655 | ||
1656 | static void mpreduce_pydealloc(PyObject *me) | |
1657 | { | |
1658 | mpreduce_destroy(MPREDUCE_PY(me)); | |
3aa33042 | 1659 | FREEOBJ(me); |
d7ab1bab | 1660 | } |
1661 | ||
1662 | static PyObject *mpreduce_pynew(PyTypeObject *ty, | |
1663 | PyObject *arg, PyObject *kw) | |
1664 | { | |
1665 | mpreduce_pyobj *mr = 0; | |
1666 | mpreduce r; | |
827f89d7 | 1667 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1668 | mp *xx = 0; |
1669 | ||
827f89d7 | 1670 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1671 | goto end; |
1672 | if (!MP_POSP(xx)) VALERR("m must be positive"); | |
1673 | if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)"); | |
1674 | mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0); | |
1675 | mr->mr = r; | |
1676 | end: | |
1677 | if (xx) MP_DROP(xx); | |
1678 | return ((PyObject *)mr); | |
1679 | } | |
1680 | ||
1681 | static PyObject *mrget_m(PyObject *me, void *hunoz) | |
1682 | { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); } | |
1683 | ||
c90f712e | 1684 | static const PyGetSetDef mpreduce_pygetset[] = { |
d7ab1bab | 1685 | #define GETSETNAME(op, name) mr##op##_##name |
1686 | GET (m, "R.m -> modulus for reduction") | |
1687 | #undef GETSETNAME | |
1688 | { 0 } | |
1689 | }; | |
1690 | ||
c90f712e | 1691 | static const const PyMethodDef mpreduce_pymethods[] = { |
d7ab1bab | 1692 | #define METHNAME(name) mrmeth_##name |
1693 | METH (reduce, "R.reduce(X) -> X mod B.m") | |
1694 | METH (exp, "R.exp(X, N) -> X^N mod B.m") | |
1695 | #undef METHNAME | |
1696 | { 0 } | |
1697 | }; | |
1698 | ||
c263b05c | 1699 | static const PyTypeObject mpreduce_pytype_skel = { |
591bf41b | 1700 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1701 | "MPReduce", /* @tp_name@ */ |
d7ab1bab | 1702 | sizeof(mpreduce_pyobj), /* @tp_basicsize@ */ |
1703 | 0, /* @tp_itemsize@ */ | |
1704 | ||
1705 | mpreduce_pydealloc, /* @tp_dealloc@ */ | |
1706 | 0, /* @tp_print@ */ | |
1707 | 0, /* @tp_getattr@ */ | |
1708 | 0, /* @tp_setattr@ */ | |
1709 | 0, /* @tp_compare@ */ | |
1710 | 0, /* @tp_repr@ */ | |
1711 | 0, /* @tp_as_number@ */ | |
1712 | 0, /* @tp_as_sequence@ */ | |
1713 | 0, /* @tp_as_mapping@ */ | |
1714 | 0, /* @tp_hash@ */ | |
1715 | 0, /* @tp_call@ */ | |
1716 | 0, /* @tp_str@ */ | |
1717 | 0, /* @tp_getattro@ */ | |
1718 | 0, /* @tp_setattro@ */ | |
1719 | 0, /* @tp_as_buffer@ */ | |
1720 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1721 | Py_TPFLAGS_BASETYPE, | |
1722 | ||
1723 | /* @tp_doc@ */ | |
d96c882e | 1724 | "MPReduce(N): a reduction context for reduction modulo Solinas primes.", |
d7ab1bab | 1725 | |
1726 | 0, /* @tp_traverse@ */ | |
1727 | 0, /* @tp_clear@ */ | |
1728 | 0, /* @tp_richcompare@ */ | |
1729 | 0, /* @tp_weaklistoffset@ */ | |
1730 | 0, /* @tp_iter@ */ | |
963a6148 | 1731 | 0, /* @tp_iternext@ */ |
c90f712e | 1732 | PYMETHODS(mpreduce), /* @tp_methods@ */ |
d7ab1bab | 1733 | 0, /* @tp_members@ */ |
c90f712e | 1734 | PYGETSET(mpreduce), /* @tp_getset@ */ |
d7ab1bab | 1735 | 0, /* @tp_base@ */ |
1736 | 0, /* @tp_dict@ */ | |
1737 | 0, /* @tp_descr_get@ */ | |
1738 | 0, /* @tp_descr_set@ */ | |
1739 | 0, /* @tp_dictoffset@ */ | |
1740 | 0, /* @tp_init@ */ | |
1741 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1742 | mpreduce_pynew, /* @tp_new@ */ | |
3aa33042 | 1743 | 0, /* @tp_free@ */ |
d7ab1bab | 1744 | 0 /* @tp_is_gc@ */ |
1745 | }; | |
1746 | ||
1747 | /*----- Chinese Remainder Theorem solution --------------------------------*/ | |
1748 | ||
c263b05c MW |
1749 | static PyTypeObject *mpcrt_pytype; |
1750 | ||
d7ab1bab | 1751 | typedef struct mpcrt_pyobj { |
1752 | PyObject_HEAD | |
1753 | mpcrt c; | |
1754 | } mpcrt_pyobj; | |
1755 | ||
1756 | #define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c) | |
1757 | ||
1758 | static PyObject *mcmeth_solve(PyObject *me, PyObject *arg) | |
1759 | { | |
1760 | mpcrt *c = MPCRT_PY(me); | |
1761 | PyObject *q = 0, *x, *z = 0; | |
1762 | mp *xx; | |
1763 | mp **v = 0; | |
77a0d53f | 1764 | Py_ssize_t i = 0, n = c->k; |
d7ab1bab | 1765 | |
1766 | Py_INCREF(me); | |
c51a597d | 1767 | if (PyTuple_GET_SIZE(arg) == n) |
d7ab1bab | 1768 | q = arg; |
1769 | else if (!PyArg_ParseTuple(arg, "O:solve", &q)) | |
1770 | goto end; | |
1771 | Py_INCREF(q); | |
1772 | if (!PySequence_Check(q)) TYERR("want a sequence of residues"); | |
4281a7ee MW |
1773 | i = PySequence_Size(q); if (i < 0) goto end; |
1774 | if (i != n) VALERR("residue count mismatch"); | |
d7ab1bab | 1775 | v = xmalloc(n * sizeof(*v)); |
1776 | for (i = 0; i < n; i++) { | |
1777 | if ((x = PySequence_GetItem(q, i)) == 0) goto end; | |
1778 | xx = getmp(x); Py_DECREF(x); if (!xx) goto end; | |
1779 | v[i] = xx; | |
1780 | } | |
1781 | z = mp_pywrap(mpcrt_solve(c, MP_NEW, v)); | |
1782 | end: | |
1783 | if (v) { | |
1784 | n = i; | |
1785 | for (i = 0; i < n; i++) | |
1786 | MP_DROP(v[i]); | |
1787 | xfree(v); | |
1788 | } | |
1789 | Py_DECREF(me); | |
1790 | Py_XDECREF(q); | |
1791 | return (z); | |
1792 | } | |
1793 | ||
1794 | static void mpcrt_pydealloc(PyObject *me) | |
1795 | { | |
1796 | mpcrt *c = MPCRT_PY(me); | |
1797 | mpcrt_destroy(c); | |
1798 | xfree(c->v); | |
1799 | } | |
1800 | ||
1801 | static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1802 | { | |
1803 | mpcrt_mod *v = 0; | |
77a0d53f | 1804 | Py_ssize_t n, i = 0, j; |
827f89d7 | 1805 | static const char *const kwlist[] = { "mv", 0 }; |
d7ab1bab | 1806 | PyObject *q = 0, *x; |
d2b7e92c MW |
1807 | mp *xx = MP_NEW, *y = MP_NEW, *g = MP_NEW; |
1808 | mpmul mm; | |
d7ab1bab | 1809 | mpcrt_pyobj *c = 0; |
1810 | ||
c51a597d | 1811 | if (PyTuple_GET_SIZE(arg) > 1) |
d7ab1bab | 1812 | q = arg; |
827f89d7 | 1813 | else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", KWLIST, &q)) |
d7ab1bab | 1814 | goto end; |
1815 | Py_INCREF(q); | |
1816 | if (!PySequence_Check(q)) TYERR("want a sequence of moduli"); | |
4281a7ee | 1817 | n = PySequence_Size(q); if (n < 0) goto end; |
d7ab1bab | 1818 | if (!n) VALERR("want at least one modulus"); |
1819 | v = xmalloc(n * sizeof(*v)); | |
1820 | for (i = 0; i < n; i++) { | |
1821 | if ((x = PySequence_GetItem(q, i)) == 0) goto end; | |
1822 | xx = getmp(x); Py_DECREF(x); if (!xx) goto end; | |
684cd535 | 1823 | if (MP_CMP(xx, <=, MP_ZERO)) VALERR("moduli must be positive"); |
4e02c19c | 1824 | v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0; xx = MP_NEW; |
d7ab1bab | 1825 | } |
d2b7e92c MW |
1826 | mpmul_init(&mm); |
1827 | for (j = 0; j < i; j++) mpmul_add(&mm, v[j].m); | |
1828 | xx = mpmul_done(&mm); | |
1829 | for (j = 0; j < i; j++) { | |
1830 | mp_div(&y, 0, xx, v[j].m); | |
1831 | mp_gcd(&g, 0, 0, y, v[j].m); | |
1832 | if (!MP_EQ(g, MP_ONE)) VALERR("moduli must be pairwise coprime"); | |
1833 | } | |
1834 | ||
d7ab1bab | 1835 | c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0); |
1836 | mpcrt_create(&c->c, v, n, 0); | |
1837 | Py_DECREF(q); | |
d2b7e92c | 1838 | mp_drop(xx); mp_drop(y); mp_drop(g); |
d7ab1bab | 1839 | return ((PyObject *)c); |
1840 | ||
1841 | end: | |
1842 | if (v) { | |
1843 | n = i; | |
1844 | for (i = 0; i < n; i++) | |
1845 | MP_DROP(v[i].m); | |
1846 | xfree(v); | |
1847 | } | |
1848 | Py_XDECREF(q); | |
d2b7e92c | 1849 | mp_drop(xx); mp_drop(y); mp_drop(g); |
d7ab1bab | 1850 | return (0); |
1851 | } | |
1852 | ||
1853 | static PyObject *mcget_product(PyObject *me, void *hunoz) | |
1854 | { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); } | |
1855 | ||
1856 | static PyObject *mcget_moduli(PyObject *me, void *hunoz) | |
1857 | { | |
1858 | int i; | |
1859 | PyObject *q; | |
1860 | mpcrt *c = MPCRT_PY(me); | |
1861 | ||
1862 | if ((q = PyList_New(c->k)) == 0) return (0); | |
1863 | for (i = 0; i < c->k; i++) | |
c51a597d | 1864 | PyList_SET_ITEM(q, i, mp_pywrap(c->v[i].m)); |
d7ab1bab | 1865 | return (q); |
1866 | } | |
1867 | ||
c90f712e | 1868 | static const PyGetSetDef mpcrt_pygetset[] = { |
d7ab1bab | 1869 | #define GETSETNAME(op, name) mc##op##_##name |
1870 | GET (product, "C.product -> product of moduli") | |
1871 | GET (moduli, "C.moduli -> list of individual moduli") | |
1872 | #undef GETSETNAME | |
1873 | { 0 } | |
1874 | }; | |
1875 | ||
c90f712e | 1876 | static const PyMethodDef mpcrt_pymethods[] = { |
d7ab1bab | 1877 | #define METHNAME(name) mcmeth_##name |
1878 | METH (solve, "C.solve([R0, R1]) -> X mod C.product") | |
1879 | #undef METHNAME | |
1880 | { 0 } | |
1881 | }; | |
1882 | ||
c263b05c | 1883 | static const PyTypeObject mpcrt_pytype_skel = { |
591bf41b | 1884 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1885 | "MPCRT", /* @tp_name@ */ |
d7ab1bab | 1886 | sizeof(mpcrt_pyobj), /* @tp_basicsize@ */ |
1887 | 0, /* @tp_itemsize@ */ | |
1888 | ||
1889 | mpcrt_pydealloc, /* @tp_dealloc@ */ | |
1890 | 0, /* @tp_print@ */ | |
1891 | 0, /* @tp_getattr@ */ | |
1892 | 0, /* @tp_setattr@ */ | |
1893 | 0, /* @tp_compare@ */ | |
1894 | 0, /* @tp_repr@ */ | |
1895 | 0, /* @tp_as_number@ */ | |
1896 | 0, /* @tp_as_sequence@ */ | |
1897 | 0, /* @tp_as_mapping@ */ | |
1898 | 0, /* @tp_hash@ */ | |
1899 | 0, /* @tp_call@ */ | |
1900 | 0, /* @tp_str@ */ | |
1901 | 0, /* @tp_getattro@ */ | |
1902 | 0, /* @tp_setattro@ */ | |
1903 | 0, /* @tp_as_buffer@ */ | |
1904 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1905 | Py_TPFLAGS_BASETYPE, | |
1906 | ||
1907 | /* @tp_doc@ */ | |
d96c882e | 1908 | "MPCRT(SEQ): a context for solving Chinese Remainder Theorem problems.", |
d7ab1bab | 1909 | |
1910 | 0, /* @tp_traverse@ */ | |
1911 | 0, /* @tp_clear@ */ | |
1912 | 0, /* @tp_richcompare@ */ | |
1913 | 0, /* @tp_weaklistoffset@ */ | |
1914 | 0, /* @tp_iter@ */ | |
963a6148 | 1915 | 0, /* @tp_iternext@ */ |
c90f712e | 1916 | PYMETHODS(mpcrt), /* @tp_methods@ */ |
d7ab1bab | 1917 | 0, /* @tp_members@ */ |
c90f712e | 1918 | PYGETSET(mpcrt), /* @tp_getset@ */ |
d7ab1bab | 1919 | 0, /* @tp_base@ */ |
1920 | 0, /* @tp_dict@ */ | |
1921 | 0, /* @tp_descr_get@ */ | |
1922 | 0, /* @tp_descr_set@ */ | |
1923 | 0, /* @tp_dictoffset@ */ | |
1924 | 0, /* @tp_init@ */ | |
1925 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1926 | mpcrt_pynew, /* @tp_new@ */ | |
3aa33042 | 1927 | 0, /* @tp_free@ */ |
d7ab1bab | 1928 | 0 /* @tp_is_gc@ */ |
1929 | }; | |
1930 | ||
1931 | /*----- Binary polynomials ------------------------------------------------*/ | |
1932 | ||
1933 | static PyObject *gf_pyrepr(PyObject *o) | |
e38168e2 | 1934 | { return mp_topystring(MP_X(o), 16, "GF(", "0x", ")"); } |
d7ab1bab | 1935 | |
1936 | static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op) | |
1937 | { | |
1938 | mp *xx, *yy; | |
1939 | int xl, yl; | |
1940 | int b; | |
1941 | ||
bf8910bd | 1942 | if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; |
d7ab1bab | 1943 | switch (op) { |
1944 | case Py_EQ: b = MP_EQ(xx, yy); break; | |
1945 | case Py_NE: b = !MP_EQ(xx, yy); break; | |
1946 | default: | |
1947 | xl = mp_bits(xx); | |
1948 | yl = mp_bits(yy); | |
1949 | switch (op) { | |
1950 | case Py_LT: b = xl < yl; break; | |
1951 | case Py_LE: b = xl <= yl; break; | |
1952 | case Py_GT: b = xl > yl; break; | |
1953 | case Py_GE: b = xl >= yl; break; | |
1954 | default: abort(); | |
1955 | } | |
1956 | break; | |
1957 | } | |
1958 | MP_DROP(xx); MP_DROP(yy); | |
1959 | return (getbool(b)); | |
1960 | } | |
1961 | ||
1962 | static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1963 | { | |
1964 | PyObject *x; | |
1965 | mp *z; | |
1966 | mp_pyobj *zz = 0; | |
1967 | int radix = 0; | |
827f89d7 | 1968 | static const char *const kwlist[] = { "x", "radix", 0 }; |
d7ab1bab | 1969 | |
827f89d7 | 1970 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", KWLIST, &x, &radix)) |
d7ab1bab | 1971 | goto end; |
1972 | if (GF_PYCHECK(x)) RETURN_OBJ(x); | |
f368b46e | 1973 | if (!good_radix_p(radix, 1)) VALERR("radix out of range"); |
d7ab1bab | 1974 | if ((z = mp_frompyobject(x, radix)) == 0) { |
1975 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf", | |
2a448f86 | 1976 | Py_TYPE(x)->tp_name); |
d7ab1bab | 1977 | goto end; |
1978 | } | |
1979 | if (MP_NEGP(z)) { | |
1980 | MP_DROP(z); | |
1981 | VALERR("gf cannot be negative"); | |
1982 | } | |
1983 | zz = (mp_pyobj *)ty->tp_alloc(ty, 0); | |
1984 | zz->x = z; | |
1985 | end: | |
1986 | return ((PyObject *)zz); | |
1987 | } | |
1988 | ||
d7ab1bab | 1989 | static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z) |
1990 | { | |
1991 | mp *xx = 0, *yy = 0, *zz = 0; | |
1992 | mp *r = 0; | |
1993 | PyObject *rc = 0; | |
1994 | ||
6311e4f7 MW |
1995 | if ((xx = implicitgf(x)) == 0 || (yy = implicitmp(y)) == 0 || |
1996 | (z && z != Py_None && (zz = implicitgf(z)) == 0)) { | |
d7ab1bab | 1997 | mp_drop(xx); mp_drop(yy); mp_drop(zz); |
1998 | RETURN_NOTIMPL; | |
1999 | } | |
2000 | if (!z || z == Py_None) { | |
2001 | if (MP_NEGP(yy)) VALERR("negative exponent"); | |
2002 | r = gf_exp(MP_NEW, xx, yy); | |
2003 | } else { | |
2004 | gfreduce gr; | |
2005 | if (MP_ZEROP(zz)) ZDIVERR("zero modulus"); | |
2006 | if (MP_NEGP(yy)) { | |
2007 | if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end; | |
2008 | yy = mp_neg(yy, yy); | |
2009 | } | |
2010 | gfreduce_create(&gr, zz); | |
2011 | r = gfreduce_exp(&gr, MP_NEW, xx, yy); | |
2012 | gfreduce_destroy(&gr); | |
2013 | } | |
2014 | rc = gf_pywrap(r); | |
2015 | end: | |
2016 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
2017 | return (rc); | |
2018 | } | |
2019 | ||
91e56f06 MW |
2020 | static PyObject *gfmeth_sqr(PyObject *me) |
2021 | { return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me)))); } | |
d7ab1bab | 2022 | |
2023 | static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg) | |
2024 | { | |
2025 | PyObject *z = 0; | |
2026 | mp *yy = 0, *zz = MP_NEW; | |
2027 | ||
2028 | if (!PyArg_ParseTuple(arg, "O&:gcd", convgf, &yy)) goto end; | |
2029 | gf_gcd(&zz, 0, 0, MP_X(me), yy); | |
2030 | z = gf_pywrap(zz); | |
2031 | end: | |
2032 | if (yy) MP_DROP(yy); | |
2033 | return (z); | |
2034 | } | |
2035 | ||
2036 | static PyObject *gfmeth_gcdx(PyObject *me, PyObject *arg) | |
2037 | { | |
2038 | PyObject *z = 0; | |
2039 | mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW; | |
2040 | ||
2041 | if (!PyArg_ParseTuple(arg, "O&:gcdx", convgf, &yy)) | |
2042 | goto end; | |
2043 | gf_gcd(&zz, &uu, &vv, MP_X(me), yy); | |
2044 | z = Py_BuildValue("(NNN)", | |
2045 | gf_pywrap(zz), gf_pywrap(uu), gf_pywrap(vv)); | |
2046 | end: | |
2047 | if (yy) MP_DROP(yy); | |
2048 | return (z); | |
2049 | } | |
2050 | ||
2051 | static PyObject *gfmeth_modinv(PyObject *me, PyObject *arg) | |
2052 | { | |
2053 | PyObject *z = 0; | |
2054 | mp *yy = 0, *zz = MP_NEW; | |
2055 | ||
2056 | if (!PyArg_ParseTuple(arg, "O&:modinv", convgf, &yy) || | |
2057 | (zz = gf_modinv_checked(MP_NEW, yy, MP_X(me))) == 0) | |
2058 | goto end; | |
2059 | z = gf_pywrap(zz); | |
2060 | end: | |
2061 | if (yy) MP_DROP(yy); | |
2062 | return (z); | |
2063 | } | |
2064 | ||
a157093f MW |
2065 | static PyObject *gfmeth_fromstring(PyObject *me, |
2066 | PyObject *arg, PyObject *kw) | |
f281293c MW |
2067 | { |
2068 | int r = 0; | |
2069 | char *p; | |
2070 | Py_ssize_t len; | |
2071 | PyObject *z = 0; | |
2072 | mp *zz; | |
2073 | mptext_stringctx sc; | |
a157093f | 2074 | static const char *const kwlist[] = { "x", "radix", 0 }; |
f281293c | 2075 | |
a157093f MW |
2076 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "s#|i:fromstring", KWLIST, |
2077 | &p, &len, &r)) | |
f281293c MW |
2078 | goto end; |
2079 | if (!good_radix_p(r, 1)) VALERR("bad radix"); | |
2080 | sc.buf = p; sc.lim = p + len; | |
2081 | if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 || | |
2082 | MP_NEGP(zz)) { | |
2083 | if (zz) MP_DROP(zz); | |
2084 | VALERR("bad binary polynomial"); | |
2085 | } | |
2086 | z = Py_BuildValue("(Ns#)", gf_pywrap(zz), | |
2087 | sc.buf, (Py_ssize_t)(sc.lim - sc.buf)); | |
2088 | end: | |
2089 | return (z); | |
2090 | } | |
2091 | ||
91e56f06 MW |
2092 | static PyObject *gfmeth_irreduciblep(PyObject *me) |
2093 | { return getbool(gf_irreduciblep(MP_X(me))); } | |
d7ab1bab | 2094 | |
2095 | static PyObject *gfget_degree(PyObject *me, void *hunoz) | |
2096 | { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); } | |
2097 | ||
c90f712e | 2098 | static const PyGetSetDef gf_pygetset[] = { |
d7ab1bab | 2099 | #define GETSETNAME(op, name) gf##op##_##name |
2100 | GET (degree, "X.degree -> polynomial degree of X") | |
2101 | #undef GETSETNAME | |
2102 | #define GETSETNAME(op, name) mp##op##_##name | |
2103 | GET (nbits, "X.nbits -> bit length of X") | |
2104 | GET (noctets, "X.noctets -> octet length of X") | |
2105 | #undef GETSETNAME | |
2106 | { 0 } | |
2107 | }; | |
2108 | ||
c90f712e | 2109 | static const PyMethodDef gf_pymethods[] = { |
d7ab1bab | 2110 | #define METHNAME(func) gfmeth_##func |
2111 | METH (setbit, "X.setbit(N) -> X with bit N set") | |
2112 | METH (clearbit, "X.clearbit(N) -> X with bit N clear") | |
2113 | METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X") | |
91e56f06 | 2114 | NAMETH(sqr, "X.sqr() -> X^2") |
d7ab1bab | 2115 | METH (gcd, "X.gcd(Y) -> gcd(X, Y)") |
d96c882e | 2116 | METH (gcdx, "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)") |
d7ab1bab | 2117 | METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X") |
91e56f06 | 2118 | NAMETH(irreduciblep, "X.irreduciblep() -> true/false") |
a157093f MW |
2119 | KWSMTH(fromstring, "fromstring(STR, [radix = 0]) -> (X, REST)\n" |
2120 | " Parse STR as a binary polynomial, according to RADIX. If RADIX is\n" | |
2121 | " zero, read a prefix from STR to decide radix: allow `0b' for binary,\n" | |
2122 | " `0' or `0o' for octal, `0x' for hex, or `R_' for other radix R.") | |
2123 | SMTH (loadl, "loadl(STR) -> X: read little-endian bytes") | |
2124 | SMTH (loadb, "loadb(STR) -> X: read big-endian bytes") | |
2125 | SMTH (frombuf, "frombuf(STR) -> (X, REST): read buffer format") | |
d7ab1bab | 2126 | #undef METHNAME |
2127 | #define METHNAME(func) mpmeth_##func | |
1df8d5fe MW |
2128 | KWMETH(tostring, "X.tostring([radix = 10]) -> STR") |
2129 | KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes") | |
2130 | KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes") | |
d96c882e MW |
2131 | KWMETH(storel2c, "X.storel2c([len = -1]) -> " |
2132 | "little-endian bytes, two's complement") | |
2133 | KWMETH(storeb2c, "X.storeb2c([len = -1]) -> " | |
2134 | "big-endian bytes, two's complement") | |
91e56f06 | 2135 | NAMETH(tobuf, "X.tobuf() -> buffer format") |
d7ab1bab | 2136 | #undef METHNAME |
2137 | { 0 } | |
2138 | }; | |
2139 | ||
c90f712e | 2140 | static const PyNumberMethods gf_pynumber = { |
d7ab1bab | 2141 | gf_pyadd, /* @nb_add@ */ |
2142 | gf_pysub, /* @nb_subtract@ */ | |
2143 | gf_pymul, /* @nb_multiply@ */ | |
f7623015 | 2144 | #ifdef PY2 |
d7ab1bab | 2145 | 0, /* @nb_divide@ */ |
f7623015 | 2146 | #endif |
d7ab1bab | 2147 | gf_pymod, /* @nb_remainder@ */ |
2148 | gf_pydivmod, /* @nb_divmod@ */ | |
2149 | gf_pyexp, /* @nb_power@ */ | |
2150 | mp_pyid, /* @nb_negative@ */ | |
2151 | mp_pyid, /* @nb_positive@ */ | |
2152 | mp_pyid, /* @nb_absolute@ */ | |
2153 | mp_pynonzerop, /* @nb_nonzero@ */ | |
2154 | 0 /* doesn't make any sense */, /* @nb_invert@ */ | |
2155 | gf_pylsl, /* @nb_lshift@ */ | |
2156 | gf_pylsr, /* @nb_rshift@ */ | |
2157 | gf_pyand, /* @nb_and@ */ | |
2158 | gf_pyxor, /* @nb_xor@ */ | |
2159 | gf_pyor, /* @nb_or@ */ | |
f7623015 | 2160 | #ifdef PY2 |
d7ab1bab | 2161 | gf_pycoerce, /* @nb_coerce@ */ |
f7623015 | 2162 | #endif |
d7ab1bab | 2163 | mp_pyint, /* @nb_int@ */ |
f7623015 | 2164 | PY23(mp_pylong, 0), /* @nb_long@ */ |
d7ab1bab | 2165 | 0 /* doesn't make any sense */, /* @nb_float@ */ |
f7623015 | 2166 | #ifdef PY2 |
d7ab1bab | 2167 | mp_pyoct, /* @nb_oct@ */ |
2168 | mp_pyhex, /* @nb_hex@ */ | |
f7623015 | 2169 | #endif |
d7ab1bab | 2170 | |
2171 | 0, /* @nb_inplace_add@ */ | |
2172 | 0, /* @nb_inplace_subtract@ */ | |
2173 | 0, /* @nb_inplace_multiply@ */ | |
f7623015 | 2174 | #ifdef PY2 |
d7ab1bab | 2175 | 0, /* @nb_inplace_divide@ */ |
f7623015 | 2176 | #endif |
d7ab1bab | 2177 | 0, /* @nb_inplace_remainder@ */ |
2178 | 0, /* @nb_inplace_power@ */ | |
2179 | 0, /* @nb_inplace_lshift@ */ | |
2180 | 0, /* @nb_inplace_rshift@ */ | |
2181 | 0, /* @nb_inplace_and@ */ | |
2182 | 0, /* @nb_inplace_xor@ */ | |
2183 | 0, /* @nb_inplace_or@ */ | |
2184 | ||
2185 | gf_pydiv, /* @nb_floor_divide@ */ | |
2186 | 0, /* @nb_true_divide@ */ | |
2187 | 0, /* @nb_inplace_floor_divide@ */ | |
2188 | 0, /* @nb_inplace_true_divide@ */ | |
a90a9c0e MW |
2189 | |
2190 | mp_pyint, /* @nb_index@ */ | |
d7ab1bab | 2191 | }; |
2192 | ||
c263b05c | 2193 | static const PyTypeObject gf_pytype_skel = { |
591bf41b | 2194 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 2195 | "GF", /* @tp_name@ */ |
d7ab1bab | 2196 | sizeof(mp_pyobj), /* @tp_basicsize@ */ |
2197 | 0, /* @tp_itemsize@ */ | |
2198 | ||
2199 | mp_pydealloc, /* @tp_dealloc@ */ | |
2200 | 0, /* @tp_print@ */ | |
2201 | 0, /* @tp_getattr@ */ | |
2202 | 0, /* @tp_setattr@ */ | |
2203 | 0, /* @tp_compare@ */ | |
2204 | gf_pyrepr, /* @tp_repr@ */ | |
c90f712e | 2205 | PYNUMBER(gf), /* @tp_as_number@ */ |
d7ab1bab | 2206 | 0, /* @tp_as_sequence@ */ |
2207 | 0, /* @tp_as_mapping@ */ | |
ab723d73 | 2208 | mp_pyhash, /* @tp_hash@ */ |
d7ab1bab | 2209 | 0, /* @tp_call@ */ |
2210 | mp_pyhex, /* @tp_str@ */ | |
2211 | 0, /* @tp_getattro@ */ | |
2212 | 0, /* @tp_setattro@ */ | |
2213 | 0, /* @tp_as_buffer@ */ | |
2214 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2215 | Py_TPFLAGS_CHECKTYPES | | |
2216 | Py_TPFLAGS_BASETYPE, | |
2217 | ||
2218 | /* @tp_doc@ */ | |
d96c882e MW |
2219 | "Binary polynomials. Support almost all the standard arithmetic\n" |
2220 | "operations.\n" | |
2221 | "\n" | |
2222 | "Constructor GF(X, [radix = R]) attempts to convert X to a `GF'. If\n" | |
2223 | "X is a string, it's read in radix-R form, or we look for a prefix\n" | |
2224 | "if R = 0. Other acceptable things are field elements, elliptic curve\n" | |
f7623015 | 2225 | PY23( |
d96c882e | 2226 | "points, group elements, Python `int' and `long' objects, and anything\n" |
f7623015 MW |
2227 | "with an integer conversion.\n", |
2228 | "points, group elements, Python `int' objects, and anything with an\n" | |
2229 | "integer conversion.\n") | |
d96c882e MW |
2230 | "\n" |
2231 | "The name is hopelessly wrong from a technical point of view, but\n" | |
2232 | "but it's much easier to type than `p2' or `c2' or whatever.\n" | |
2233 | "\n" | |
2234 | "Notes:\n" | |
2235 | "\n" | |
2236 | " * Use `//' for Euclidean division: `/' gives exact rational division.", | |
d7ab1bab | 2237 | |
2238 | 0, /* @tp_traverse@ */ | |
2239 | 0, /* @tp_clear@ */ | |
2240 | gf_pyrichcompare, /* @tp_richcompare@ */ | |
2241 | 0, /* @tp_weaklistoffset@ */ | |
2242 | 0, /* @tp_iter@ */ | |
963a6148 | 2243 | 0, /* @tp_iternext@ */ |
c90f712e | 2244 | PYMETHODS(gf), /* @tp_methods@ */ |
d7ab1bab | 2245 | 0, /* @tp_members@ */ |
c90f712e | 2246 | PYGETSET(gf), /* @tp_getset@ */ |
d7ab1bab | 2247 | 0, /* @tp_base@ */ |
2248 | 0, /* @tp_dict@ */ | |
2249 | 0, /* @tp_descr_get@ */ | |
2250 | 0, /* @tp_descr_set@ */ | |
2251 | 0, /* @tp_dictoffset@ */ | |
2252 | 0, /* @tp_init@ */ | |
2253 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2254 | gf_pynew, /* @tp_new@ */ | |
3aa33042 | 2255 | 0, /* @tp_free@ */ |
d7ab1bab | 2256 | 0 /* @tp_is_gc@ */ |
2257 | }; | |
2258 | ||
d7ab1bab | 2259 | /*----- Sparse poly reduction ---------------------------------------------*/ |
2260 | ||
c263b05c MW |
2261 | static PyTypeObject *gfreduce_pytype; |
2262 | ||
d7ab1bab | 2263 | typedef struct gfreduce_pyobj { |
2264 | PyObject_HEAD | |
2265 | gfreduce mr; | |
2266 | } gfreduce_pyobj; | |
2267 | ||
2268 | #define GFREDUCE_PY(o) (&((gfreduce_pyobj *)(o))->mr) | |
2269 | ||
2270 | static PyObject *grmeth_exp(PyObject *me, PyObject *arg) | |
2271 | { | |
2272 | PyObject *rc = 0; | |
2273 | mp *yy = 0, *zz = 0; | |
2274 | ||
2275 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convgf, &yy, convgf, &zz)) | |
2276 | goto end; | |
2277 | if (MP_NEGP(zz)) { | |
2278 | if ((yy = gf_modinv_checked(yy, yy, GFREDUCE_PY(me)->p)) == 0) goto end; | |
2279 | zz = mp_neg(zz, zz); | |
2280 | } | |
2281 | rc = gf_pywrap(gfreduce_exp(GFREDUCE_PY(me), MP_NEW, yy, zz)); | |
2282 | end: | |
2283 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
2284 | return (rc); | |
2285 | } | |
2286 | ||
fbc145f3 MW |
2287 | static PyObject *grmeth_trace(PyObject *me, PyObject *arg) |
2288 | { | |
2289 | PyObject *rc = 0; | |
2290 | mp *xx = 0; | |
2291 | ||
2292 | if (!PyArg_ParseTuple(arg, "O&:trace", convgf, &xx)) goto end; | |
2293 | rc = PyInt_FromLong(gfreduce_trace(GFREDUCE_PY(me), xx)); | |
2294 | end: | |
2295 | if (xx) MP_DROP(xx); | |
2296 | return (rc); | |
2297 | } | |
2298 | ||
2299 | static PyObject *grmeth_halftrace(PyObject *me, PyObject *arg) | |
2300 | { | |
2301 | PyObject *rc = 0; | |
2302 | mp *xx = 0; | |
2303 | ||
2304 | if (!PyArg_ParseTuple(arg, "O&:halftrace", convgf, &xx)) goto end; | |
2305 | rc = gf_pywrap(gfreduce_halftrace(GFREDUCE_PY(me), MP_NEW, xx)); | |
2306 | end: | |
2307 | if (xx) MP_DROP(xx); | |
2308 | return (rc); | |
2309 | } | |
2310 | ||
2311 | static PyObject *grmeth_sqrt(PyObject *me, PyObject *arg) | |
2312 | { | |
2313 | PyObject *rc = 0; | |
2314 | mp *xx = 0, *yy; | |
2315 | ||
2316 | if (!PyArg_ParseTuple(arg, "O&:sqrt", convgf, &xx)) goto end; | |
2317 | if ((yy = gfreduce_sqrt(GFREDUCE_PY(me), MP_NEW, xx)) == 0) | |
2318 | VALERR("no modular square root"); | |
2319 | rc = gf_pywrap(yy); | |
2320 | end: | |
2321 | if (xx) MP_DROP(xx); | |
2322 | return (rc); | |
2323 | } | |
2324 | ||
2325 | static PyObject *grmeth_quadsolve(PyObject *me, PyObject *arg) | |
2326 | { | |
2327 | PyObject *rc = 0; | |
2328 | mp *xx = 0, *yy; | |
2329 | ||
2330 | if (!PyArg_ParseTuple(arg, "O&:quadsolve", convgf, &xx)) goto end; | |
2331 | if ((yy = gfreduce_quadsolve(GFREDUCE_PY(me), MP_NEW, xx)) == 0) | |
2332 | VALERR("no solution found"); | |
2333 | rc = gf_pywrap(yy); | |
2334 | end: | |
2335 | if (xx) MP_DROP(xx); | |
2336 | return (rc); | |
2337 | } | |
2338 | ||
d7ab1bab | 2339 | static PyObject *grmeth_reduce(PyObject *me, PyObject *arg) |
2340 | { | |
2341 | PyObject *z = 0; | |
2342 | mp *yy = 0; | |
2343 | ||
2344 | if (!PyArg_ParseTuple(arg, "O&:reduce", convgf, &yy)) goto end; | |
2345 | z = gf_pywrap(gfreduce_do(GFREDUCE_PY(me), MP_NEW, yy)); | |
2346 | end: | |
2347 | return (z); | |
2348 | } | |
2349 | ||
2350 | static void gfreduce_pydealloc(PyObject *me) | |
2351 | { | |
2352 | gfreduce_destroy(GFREDUCE_PY(me)); | |
3aa33042 | 2353 | FREEOBJ(me); |
d7ab1bab | 2354 | } |
2355 | ||
2356 | static PyObject *gfreduce_pynew(PyTypeObject *ty, | |
2357 | PyObject *arg, PyObject *kw) | |
2358 | { | |
2359 | gfreduce_pyobj *mr = 0; | |
2360 | gfreduce r; | |
827f89d7 | 2361 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 2362 | mp *xx = 0; |
2363 | ||
827f89d7 | 2364 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convgf, &xx)) |
d7ab1bab | 2365 | goto end; |
2366 | if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!"); | |
2367 | gfreduce_create(&r, xx); | |
2368 | mr = (gfreduce_pyobj *)ty->tp_alloc(ty, 0); | |
2369 | mr->mr = r; | |
2370 | end: | |
2371 | if (xx) MP_DROP(xx); | |
2372 | return ((PyObject *)mr); | |
2373 | } | |
2374 | ||
2375 | static PyObject *grget_m(PyObject *me, void *hunoz) | |
2376 | { return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); } | |
2377 | ||
c90f712e | 2378 | static const PyGetSetDef gfreduce_pygetset[] = { |
d7ab1bab | 2379 | #define GETSETNAME(op, name) gr##op##_##name |
2380 | GET (m, "R.m -> reduction polynomial") | |
2381 | #undef GETSETNAME | |
2382 | { 0 } | |
2383 | }; | |
2384 | ||
c90f712e | 2385 | static const PyMethodDef gfreduce_pymethods[] = { |
d7ab1bab | 2386 | #define METHNAME(name) grmeth_##name |
2387 | METH (reduce, "R.reduce(X) -> X mod B.m") | |
fbc145f3 | 2388 | METH (trace, "R.trace(X) -> Tr(X) = x + x^2 + ... + x^{2^{m - 1}}") |
d96c882e | 2389 | METH (halftrace, "R.halftrace(X) -> x + x^{2^2} + ... + x^{2^{m - 1}}") |
fbc145f3 MW |
2390 | METH (sqrt, "R.sqrt(X) -> Y where Y^2 = X mod R") |
2391 | METH (quadsolve, "R.quadsolve(X) -> Y where Y^2 + Y = X mod R") | |
d7ab1bab | 2392 | METH (exp, "R.exp(X, N) -> X^N mod B.m") |
2393 | #undef METHNAME | |
2394 | { 0 } | |
2395 | }; | |
2396 | ||
c263b05c | 2397 | static const PyTypeObject gfreduce_pytype_skel = { |
591bf41b | 2398 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 2399 | "GFReduce", /* @tp_name@ */ |
d7ab1bab | 2400 | sizeof(gfreduce_pyobj), /* @tp_basicsize@ */ |
2401 | 0, /* @tp_itemsize@ */ | |
2402 | ||
2403 | gfreduce_pydealloc, /* @tp_dealloc@ */ | |
2404 | 0, /* @tp_print@ */ | |
2405 | 0, /* @tp_getattr@ */ | |
2406 | 0, /* @tp_setattr@ */ | |
2407 | 0, /* @tp_compare@ */ | |
2408 | 0, /* @tp_repr@ */ | |
2409 | 0, /* @tp_as_number@ */ | |
2410 | 0, /* @tp_as_sequence@ */ | |
2411 | 0, /* @tp_as_mapping@ */ | |
2412 | 0, /* @tp_hash@ */ | |
2413 | 0, /* @tp_call@ */ | |
2414 | 0, /* @tp_str@ */ | |
2415 | 0, /* @tp_getattro@ */ | |
2416 | 0, /* @tp_setattro@ */ | |
2417 | 0, /* @tp_as_buffer@ */ | |
2418 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2419 | Py_TPFLAGS_BASETYPE, | |
2420 | ||
2421 | /* @tp_doc@ */ | |
d96c882e | 2422 | "GFReduce(N): a context for reduction modulo sparse polynomials.", |
d7ab1bab | 2423 | |
2424 | 0, /* @tp_traverse@ */ | |
2425 | 0, /* @tp_clear@ */ | |
2426 | 0, /* @tp_richcompare@ */ | |
2427 | 0, /* @tp_weaklistoffset@ */ | |
2428 | 0, /* @tp_iter@ */ | |
963a6148 | 2429 | 0, /* @tp_iternext@ */ |
c90f712e | 2430 | PYMETHODS(gfreduce), /* @tp_methods@ */ |
d7ab1bab | 2431 | 0, /* @tp_members@ */ |
c90f712e | 2432 | PYGETSET(gfreduce), /* @tp_getset@ */ |
d7ab1bab | 2433 | 0, /* @tp_base@ */ |
2434 | 0, /* @tp_dict@ */ | |
2435 | 0, /* @tp_descr_get@ */ | |
2436 | 0, /* @tp_descr_set@ */ | |
2437 | 0, /* @tp_dictoffset@ */ | |
2438 | 0, /* @tp_init@ */ | |
2439 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2440 | gfreduce_pynew, /* @tp_new@ */ | |
3aa33042 | 2441 | 0, /* @tp_free@ */ |
d7ab1bab | 2442 | 0 /* @tp_is_gc@ */ |
2443 | }; | |
2444 | ||
2445 | /*----- Normal/poly transformation ----------------------------------------*/ | |
2446 | ||
c263b05c MW |
2447 | static PyTypeObject *gfn_pytype; |
2448 | ||
d7ab1bab | 2449 | typedef struct gfn_pyobj { |
2450 | PyObject_HEAD | |
2451 | mp *p; | |
2452 | gfn ntop, pton; | |
2453 | } gfn_pyobj; | |
2454 | ||
d7ab1bab | 2455 | #define GFN_P(o) (((gfn_pyobj *)(o))->p) |
2456 | #define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton) | |
2457 | #define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop) | |
2458 | ||
2459 | static PyObject *gfn_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
2460 | { | |
2461 | mp *p = 0, *beta = 0; | |
2462 | gfn_pyobj *gg = 0; | |
827f89d7 | 2463 | static const char *const kwlist[] = { "p", "beta", 0 }; |
d7ab1bab | 2464 | |
827f89d7 | 2465 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", KWLIST, |
d7ab1bab | 2466 | convgf, &p, convgf, &beta)) |
2467 | goto end; | |
2468 | gg = PyObject_New(gfn_pyobj, ty); | |
79ac6c22 | 2469 | gg->p = 0; |
d7ab1bab | 2470 | if (gfn_create(p, beta, &gg->ntop, &gg->pton)) { |
79ac6c22 | 2471 | Py_DECREF(gg); |
d7ab1bab | 2472 | gg = 0; |
2473 | VALERR("can't invert transformation matrix"); | |
2474 | } | |
2475 | gg->p = MP_COPY(p); | |
2476 | end: | |
2477 | mp_drop(p); | |
2478 | mp_drop(beta); | |
2479 | return ((PyObject *)gg); | |
2480 | } | |
2481 | ||
2482 | static PyObject *gfnget_p(PyObject *me, void *hunoz) | |
2483 | { return (gf_pywrap(MP_COPY(GFN_P(me)))); } | |
2484 | ||
2485 | static PyObject *gfnget_beta(PyObject *me, void *hunoz) | |
2486 | { | |
2487 | gfn *n = GFN_NTOP(me); | |
2488 | mp *x = n->r[n->n - 1]; | |
2489 | return (gf_pywrap(MP_COPY(x))); | |
2490 | } | |
2491 | ||
2492 | #define XFORMOP(name, NAME) \ | |
2493 | static PyObject *gfnmeth_##name(PyObject *me, PyObject *arg) \ | |
2494 | { \ | |
2495 | mp *xx = 0; \ | |
2496 | mp *z = 0; \ | |
2497 | \ | |
2498 | if (!PyArg_ParseTuple(arg, "O&:" #name, convgf, &xx)) goto end; \ | |
2499 | z = gfn_transform(GFN_##NAME(me), MP_NEW, xx); \ | |
2500 | end: \ | |
2501 | mp_drop(xx); \ | |
2502 | if (!z) return (0); \ | |
62ce807d | 2503 | return (gf_pywrap(z)); \ |
d7ab1bab | 2504 | } |
2505 | XFORMOP(pton, PTON) | |
2506 | XFORMOP(ntop, NTOP) | |
2507 | #undef XFORMOP | |
2508 | ||
2509 | static void gfn_pydealloc(PyObject *me) | |
2510 | { | |
79ac6c22 | 2511 | if (GFN_P(me)) { |
b76bb841 | 2512 | MP_DROP(GFN_P(me)); |
79ac6c22 MW |
2513 | gfn_destroy(GFN_PTON(me)); |
2514 | gfn_destroy(GFN_NTOP(me)); | |
2515 | } | |
3aa33042 | 2516 | FREEOBJ(me); |
d7ab1bab | 2517 | } |
2518 | ||
c90f712e | 2519 | static const PyGetSetDef gfn_pygetset[] = { |
d7ab1bab | 2520 | #define GETSETNAME(op, name) gfn##op##_##name |
2521 | GET (p, "X.p -> polynomial basis, as polynomial") | |
2522 | GET (beta, "X.beta -> normal basis element, in poly form") | |
2523 | #undef GETSETNAME | |
2524 | { 0 } | |
2525 | }; | |
2526 | ||
c90f712e | 2527 | static const PyMethodDef gfn_pymethods[] = { |
d7ab1bab | 2528 | #define METHNAME(name) gfnmeth_##name |
2529 | METH (pton, "X.pton(A) -> normal-basis representation of A") | |
2530 | METH (ntop, "X.ntop(A) -> polynomial-basis representation of A") | |
2531 | #undef METHNAME | |
2532 | { 0 } | |
2533 | }; | |
2534 | ||
c263b05c | 2535 | static const PyTypeObject gfn_pytype_skel = { |
591bf41b | 2536 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 2537 | "GFN", /* @tp_name@ */ |
d7ab1bab | 2538 | sizeof(gfn_pyobj), /* @tp_basicsize@ */ |
2539 | 0, /* @tp_itemsize@ */ | |
2540 | ||
2541 | gfn_pydealloc, /* @tp_dealloc@ */ | |
2542 | 0, /* @tp_print@ */ | |
2543 | 0, /* @tp_getattr@ */ | |
2544 | 0, /* @tp_setattr@ */ | |
2545 | 0, /* @tp_compare@ */ | |
2546 | 0, /* @tp_repr@ */ | |
2547 | 0, /* @tp_as_number@ */ | |
2548 | 0, /* @tp_as_sequence@ */ | |
2549 | 0, /* @tp_as_mapping@ */ | |
2550 | 0, /* @tp_hash@ */ | |
2551 | 0, /* @tp_call@ */ | |
2552 | 0, /* @tp_str@ */ | |
2553 | 0, /* @tp_getattro@ */ | |
2554 | 0, /* @tp_setattro@ */ | |
2555 | 0, /* @tp_as_buffer@ */ | |
2556 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2557 | Py_TPFLAGS_BASETYPE, | |
2558 | ||
2559 | /* @tp_doc@ */ | |
d96c882e MW |
2560 | "GFN(P, BETA): an object for transforming elements of binary fields\n" |
2561 | " between polynomial and normal basis representations.", | |
d7ab1bab | 2562 | |
2563 | 0, /* @tp_traverse@ */ | |
2564 | 0, /* @tp_clear@ */ | |
2565 | 0, /* @tp_richcompare@ */ | |
2566 | 0, /* @tp_weaklistoffset@ */ | |
2567 | 0, /* @tp_iter@ */ | |
963a6148 | 2568 | 0, /* @tp_iternext@ */ |
c90f712e | 2569 | PYMETHODS(gfn), /* @tp_methods@ */ |
d7ab1bab | 2570 | 0, /* @tp_members@ */ |
c90f712e | 2571 | PYGETSET(gfn), /* @tp_getset@ */ |
d7ab1bab | 2572 | 0, /* @tp_base@ */ |
2573 | 0, /* @tp_dict@ */ | |
2574 | 0, /* @tp_descr_get@ */ | |
2575 | 0, /* @tp_descr_set@ */ | |
2576 | 0, /* @tp_dictoffset@ */ | |
2577 | 0, /* @tp_init@ */ | |
2578 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2579 | gfn_pynew, /* @tp_new@ */ | |
3aa33042 | 2580 | 0, /* @tp_free@ */ |
d7ab1bab | 2581 | 0 /* @tp_is_gc@ */ |
2582 | }; | |
2583 | ||
2584 | /*----- Glue --------------------------------------------------------------*/ | |
2585 | ||
810542b0 MW |
2586 | static const struct nameval consts[] = { |
2587 | CONST(MPW_MAX), | |
2588 | { 0 } | |
2589 | }; | |
2590 | ||
d7ab1bab | 2591 | void mp_pyinit(void) |
2592 | { | |
2593 | INITTYPE(mp, root); | |
2594 | INITTYPE(gf, root); | |
32507e35 | 2595 | INITTYPE(mpmul, root); |
d7ab1bab | 2596 | INITTYPE(mpmont, root); |
2597 | INITTYPE(mpbarrett, root); | |
2598 | INITTYPE(mpreduce, root); | |
2599 | INITTYPE(mpcrt, root); | |
2600 | INITTYPE(gfreduce, root); | |
2601 | INITTYPE(gfn, root); | |
d7ab1bab | 2602 | } |
2603 | ||
2604 | void mp_pyinsert(PyObject *mod) | |
2605 | { | |
2606 | INSERT("MP", mp_pytype); | |
32507e35 | 2607 | INSERT("MPMul", mpmul_pytype); |
d7ab1bab | 2608 | INSERT("MPMont", mpmont_pytype); |
2609 | INSERT("MPBarrett", mpbarrett_pytype); | |
2610 | INSERT("MPReduce", mpreduce_pytype); | |
2611 | INSERT("MPCRT", mpcrt_pytype); | |
2612 | INSERT("GF", gf_pytype); | |
2613 | INSERT("GFReduce", gfreduce_pytype); | |
2614 | INSERT("GFN", gfn_pytype); | |
810542b0 | 2615 | setconstants(mod, consts); |
d7ab1bab | 2616 | } |
2617 | ||
2618 | /*----- That's all, folks -------------------------------------------------*/ |