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 | |
396 | #define SHIFTOP(pre, name, rname) \ | |
397 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ | |
398 | mp *xx, *yy; \ | |
399 | PyObject *z = 0; \ | |
400 | long n; \ | |
bf8910bd | 401 | if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ |
bc243788 | 402 | if (mp_tolong_checked(yy, &n, 1)) goto end; \ |
d7ab1bab | 403 | if (n < 0) \ |
404 | z = pre##_pywrap(mp_##rname(MP_NEW, xx, -n)); \ | |
405 | else \ | |
406 | z = pre##_pywrap(mp_##name(MP_NEW, xx, n)); \ | |
407 | end: \ | |
408 | MP_DROP(xx); MP_DROP(yy); \ | |
409 | return (z); \ | |
410 | } | |
411 | SHIFTOP(mp, lsl2c, lsr2c) | |
412 | SHIFTOP(mp, lsr2c, lsl2c) | |
413 | SHIFTOP(gf, lsl, lsr) | |
414 | SHIFTOP(gf, lsr, lsl) | |
415 | #undef SHIFTOP | |
416 | ||
417 | #define DIVOP(pre, name, qq, rr, gather) \ | |
418 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ | |
419 | mp *xx, *yy; \ | |
420 | PyObject *z = 0; \ | |
421 | INIT_##qq(q) INIT_##rr(r) \ | |
bf8910bd | 422 | if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ |
d7ab1bab | 423 | if (MP_ZEROP(yy)) \ |
424 | ZDIVERR("division by zero"); \ | |
425 | pre##_div(ARG_##qq(q), ARG_##rr(r), xx, yy); \ | |
426 | z = gather; \ | |
427 | end: \ | |
428 | MP_DROP(xx); MP_DROP(yy); \ | |
429 | return (z); \ | |
430 | } | |
431 | #define INIT_YES(p) mp *p = MP_NEW; | |
432 | #define INIT_NO(p) | |
433 | #define ARG_YES(p) &p | |
434 | #define ARG_NO(p) 0 | |
435 | DIVOP(mp, divmod, YES, YES, | |
436 | Py_BuildValue("(NN)", mp_pywrap(q), mp_pywrap(r))) | |
437 | DIVOP(mp, div, YES, NO, mp_pywrap(q)) | |
438 | DIVOP(mp, mod, NO, YES, mp_pywrap(r)) | |
439 | DIVOP(gf, divmod, YES, YES, | |
440 | Py_BuildValue("(NN)", gf_pywrap(q), gf_pywrap(r))) | |
441 | DIVOP(gf, div, YES, NO, gf_pywrap(q)) | |
442 | DIVOP(gf, mod, NO, YES, gf_pywrap(r)) | |
443 | #undef INIT_YES | |
444 | #undef INIT_NO | |
445 | #undef ARG_YES | |
446 | #undef ARG_NO | |
447 | #undef DIVOP | |
448 | ||
449 | static mp *mp_modinv_checked(mp *d, mp *x, mp *p) | |
450 | { | |
451 | mp *g = MP_NEW; | |
452 | mp_gcd(&g, 0, &d, p, x); | |
453 | if (!MP_EQ(g, MP_ONE)) { | |
454 | MP_DROP(g); MP_DROP(d); | |
455 | PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse"); | |
456 | return (0); | |
457 | } | |
458 | MP_DROP(g); return (d); | |
459 | } | |
460 | ||
461 | static PyObject *mp_pyexp(PyObject *x, PyObject *y, PyObject *z) | |
462 | { | |
463 | mp *xx = 0, *yy = 0, *zz = 0; | |
464 | mp *r = 0; | |
465 | PyObject *rc = 0; | |
466 | ||
bf8910bd | 467 | if ((xx = implicitmp(x)) == 0 || (yy = implicitmp(y)) == 0 || |
d7ab1bab | 468 | (z && z != Py_None && (zz = tomp(z)) == 0)) { |
469 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
470 | RETURN_NOTIMPL; | |
471 | } | |
472 | if (!z || z == Py_None) { | |
473 | if (MP_NEGP(yy)) VALERR("negative exponent"); | |
474 | r = mp_exp(MP_NEW, xx, yy); | |
475 | } else { | |
476 | if (!MP_POSP(zz)) VALERR("modulus must be positive"); | |
477 | if (MP_NEGP(yy)) { | |
478 | if ((xx = mp_modinv_checked(xx, xx, zz)) == 0) goto end; | |
479 | yy = mp_neg(yy, yy); | |
480 | } | |
481 | if (MP_ODDP(zz)) { | |
482 | mpmont mm; | |
483 | mpmont_create(&mm, zz); | |
484 | r = mpmont_exp(&mm, MP_NEW, xx, yy); | |
485 | mpmont_destroy(&mm); | |
486 | } else { | |
487 | mpbarrett mb; | |
488 | mpbarrett_create(&mb, zz); | |
489 | r = mpbarrett_exp(&mb, MP_NEW, xx, yy); | |
490 | mpbarrett_destroy(&mb); | |
491 | } | |
492 | } | |
493 | rc = mp_pywrap(r); | |
494 | end: | |
495 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
496 | return (rc); | |
497 | } | |
498 | ||
499 | static mp *gf_modinv_checked(mp *d, mp *x, mp *p) | |
500 | { | |
501 | mp *g = MP_NEW; | |
502 | gf_gcd(&g, 0, &d, p, x); | |
503 | if (!MP_EQ(g, MP_ONE)) { | |
504 | MP_DROP(g); MP_DROP(d); | |
505 | PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse"); | |
506 | return (0); | |
507 | } | |
508 | MP_DROP(g); return (d); | |
509 | } | |
510 | ||
511 | #define BASEOP(name, radix, pre) \ | |
512 | static PyObject *mp_py##name(PyObject *x) \ | |
513 | { return mp_topystring(MP_X(x), radix, 0, pre, 0); } | |
f7623015 | 514 | #ifdef PY2 |
d7ab1bab | 515 | BASEOP(oct, 8, "0"); |
f7623015 | 516 | #endif |
d7ab1bab | 517 | BASEOP(hex, 16, "0x"); |
518 | #undef BASEOP | |
519 | ||
520 | static int mp_pynonzerop(PyObject *x) { return !MP_ZEROP(MP_X(x)); } | |
521 | ||
522 | static PyObject *mp_pyint(PyObject *x) | |
523 | { | |
524 | long l; | |
bc243788 MW |
525 | if (!mp_tolong_checked(MP_X(x), &l, 0)) return (PyInt_FromLong(l)); |
526 | else return mp_topylong(MP_X(x)); | |
d7ab1bab | 527 | } |
f7623015 | 528 | #ifdef PY2 |
d7ab1bab | 529 | static PyObject *mp_pylong(PyObject *x) |
f368b46e | 530 | { return (mp_topylong(MP_X(x))); } |
f7623015 | 531 | #endif |
d7ab1bab | 532 | static PyObject *mp_pyfloat(PyObject *x) |
533 | { | |
f368b46e | 534 | PyObject *l = mp_topylong(MP_X(x)); |
d7ab1bab | 535 | double f = PyLong_AsDouble(l); |
536 | Py_DECREF(l); | |
537 | return (PyFloat_FromDouble(f)); | |
538 | } | |
539 | ||
f7623015 | 540 | #ifdef PY2 |
b2687a0a | 541 | #define COERCE(pre, PRE) \ |
d7ab1bab | 542 | static int pre##_pycoerce(PyObject **x, PyObject **y) \ |
543 | { \ | |
544 | mp *z; \ | |
545 | \ | |
546 | if (PRE##_PYCHECK(*y)) { \ | |
547 | Py_INCREF(*x); Py_INCREF(*y); \ | |
548 | return (0); \ | |
549 | } \ | |
550 | if ((z = tomp(*y)) != 0) { \ | |
551 | Py_INCREF(*x); \ | |
552 | *y = pre##_pywrap(z); \ | |
553 | return (0); \ | |
554 | } \ | |
555 | return (1); \ | |
556 | } | |
557 | COERCE(mp, MP) | |
558 | COERCE(gf, GF) | |
559 | #undef COERCE | |
f7623015 | 560 | #endif |
d7ab1bab | 561 | |
77535854 MW |
562 | static PyObject *mp_pyrichcompare(PyObject *x, PyObject *y, int op) |
563 | { | |
564 | mp *xx, *yy; | |
565 | PyObject *l, *rc; | |
566 | if (PyFloat_Check(y)) { | |
567 | l = mp_topylong(MP_X(x)); rc = PyObject_RichCompare(l, y, op); | |
568 | Py_DECREF(l); return (rc); | |
569 | } | |
570 | if (mpbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; | |
571 | rc = enrich_compare(op, mp_cmp(xx, yy)); | |
572 | MP_DROP(xx); MP_DROP(yy); | |
573 | return (rc); | |
574 | } | |
575 | ||
f7623015 | 576 | #ifdef PY2 |
d7ab1bab | 577 | static int mp_pycompare(PyObject *x, PyObject *y) |
578 | { return mp_cmp(MP_X(x), MP_X(y)); } | |
f7623015 | 579 | #endif |
d7ab1bab | 580 | |
581 | static PyObject *mp_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
582 | { | |
583 | PyObject *x; | |
584 | mp *z; | |
585 | mp_pyobj *zz = 0; | |
586 | int radix = 0; | |
827f89d7 | 587 | static const char *const kwlist[] = { "x", "radix", 0 }; |
d7ab1bab | 588 | |
827f89d7 | 589 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:new", KWLIST, &x, &radix)) |
d7ab1bab | 590 | goto end; |
591 | if (MP_PYCHECK(x)) RETURN_OBJ(x); | |
f368b46e | 592 | if (!good_radix_p(radix, 1)) VALERR("bad radix"); |
d7ab1bab | 593 | if ((z = mp_frompyobject(x, radix)) == 0) { |
594 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp", | |
2a448f86 | 595 | Py_TYPE(x)->tp_name); |
d7ab1bab | 596 | goto end; |
597 | } | |
598 | zz = (mp_pyobj *)ty->tp_alloc(ty, 0); | |
599 | zz->x = z; | |
600 | end: | |
601 | return ((PyObject *)zz); | |
602 | } | |
603 | ||
d6d78edc | 604 | Py_hash_t mphash(mp *x) |
d7ab1bab | 605 | { |
be6df1c3 | 606 | PyObject *l = mp_topylong(x); |
d6d78edc | 607 | Py_hash_t h = PyObject_Hash(l); |
f368b46e | 608 | Py_DECREF(l); return (h); |
d7ab1bab | 609 | } |
610 | ||
d6d78edc | 611 | static Py_hash_t mp_pyhash(PyObject *me) { return (mphash(MP_X(me))); } |
be6df1c3 | 612 | |
d7ab1bab | 613 | static PyObject *mpmeth_jacobi(PyObject *me, PyObject *arg) |
614 | { | |
615 | mp *y = 0; | |
616 | PyObject *z = 0; | |
617 | ||
618 | if (!PyArg_ParseTuple(arg, "O&:jacobi", convmp, &y)) goto end; | |
619 | z = PyInt_FromLong(mp_jacobi(y, MP_X(me))); | |
620 | end: | |
621 | if (y) MP_DROP(y); | |
622 | return (z); | |
623 | } | |
624 | ||
625 | #define BITOP(pre, name, c) \ | |
626 | static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \ | |
627 | { \ | |
a1be89ad MW |
628 | unsigned long i; \ |
629 | if (!PyArg_ParseTuple(arg, "O&:" #name, convulong, &i)) return (0); \ | |
d7ab1bab | 630 | return (pre##_pywrap(mp_##name##c(MP_NEW, MP_X(me), i))); \ |
631 | } | |
632 | BITOP(mp, setbit, 2c); | |
633 | BITOP(mp, clearbit, 2c); | |
b2687a0a | 634 | BITOP(gf, setbit, ); |
d7ab1bab | 635 | BITOP(gf, clearbit, ); |
636 | #undef BITOP | |
637 | ||
638 | static PyObject *mpmeth_testbit(PyObject *me, PyObject *arg) | |
639 | { | |
a1be89ad MW |
640 | unsigned long i; |
641 | if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0); | |
d7ab1bab | 642 | return (getbool(mp_testbit2c(MP_X(me), i))); |
643 | } | |
644 | ||
645 | static PyObject *gfmeth_testbit(PyObject *me, PyObject *arg) | |
646 | { | |
a1be89ad MW |
647 | unsigned long i; |
648 | if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0); | |
d7ab1bab | 649 | return (getbool(mp_testbit(MP_X(me), i))); |
650 | } | |
651 | ||
91e56f06 | 652 | static PyObject *mpmeth_odd(PyObject *me) |
d7ab1bab | 653 | { |
654 | mp *t; | |
655 | size_t s; | |
656 | ||
d7ab1bab | 657 | t = mp_odd(MP_NEW, MP_X(me), &s); |
658 | return (Py_BuildValue("(lN)", (long)s, mp_pywrap(t))); | |
659 | } | |
660 | ||
91e56f06 MW |
661 | static PyObject *mpmeth_sqr(PyObject *me) |
662 | { return (mp_pywrap(mp_sqr(MP_NEW, MP_X(me)))); } | |
d7ab1bab | 663 | |
91e56f06 | 664 | static PyObject *mpmeth_sqrt(PyObject *me) |
d7ab1bab | 665 | { |
d7ab1bab | 666 | if (MP_NEGP(MP_X(me))) VALERR("negative root"); |
667 | return (mp_pywrap(mp_sqrt(MP_NEW, MP_X(me)))); | |
668 | end: | |
669 | return (0); | |
670 | } | |
671 | ||
672 | static PyObject *mpmeth_gcd(PyObject *me, PyObject *arg) | |
673 | { | |
674 | mp *y = 0, *zz = MP_NEW; | |
675 | PyObject *z = 0; | |
676 | ||
677 | if (!PyArg_ParseTuple(arg, "O&:gcd", convmp, &y)) goto end; | |
678 | mp_gcd(&zz, 0, 0, MP_X(me), y); | |
679 | z = mp_pywrap(zz); | |
680 | end: | |
681 | if (y) MP_DROP(y); | |
682 | return (z); | |
683 | } | |
684 | ||
685 | static PyObject *mpmeth_gcdx(PyObject *me, PyObject *arg) | |
686 | { | |
687 | PyObject *z = 0; | |
688 | mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW; | |
689 | ||
690 | if (!PyArg_ParseTuple(arg, "O&:gcdx", convmp, &yy)) goto end; | |
691 | mp_gcd(&zz, &uu, &vv, MP_X(me), yy); | |
692 | z = Py_BuildValue("(NNN)", | |
693 | mp_pywrap(zz), mp_pywrap(uu), mp_pywrap(vv)); | |
694 | end: | |
695 | if (yy) MP_DROP(yy); | |
696 | return (z); | |
697 | } | |
698 | ||
699 | static PyObject *mpmeth_modinv(PyObject *me, PyObject *arg) | |
700 | { | |
701 | PyObject *z = 0; | |
702 | mp *yy = 0, *zz = MP_NEW; | |
703 | ||
704 | if (!PyArg_ParseTuple(arg, "O&:modinv", convmp, &yy) || | |
705 | (zz = mp_modinv_checked(MP_NEW, yy, MP_X(me))) == 0) | |
706 | goto end; | |
707 | z = mp_pywrap(zz); | |
708 | end: | |
709 | if (yy) MP_DROP(yy); | |
710 | return (z); | |
711 | } | |
712 | ||
713 | static PyObject *mpmeth_tostring(PyObject *me, PyObject *arg, PyObject *kw) | |
714 | { | |
715 | int radix = 10; | |
827f89d7 MW |
716 | static const char *const kwlist[] = { "radix", 0 }; |
717 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:tostring", KWLIST, &radix)) | |
d7ab1bab | 718 | goto end; |
f368b46e | 719 | if (!good_radix_p(radix, 0)) VALERR("bad radix"); |
d7ab1bab | 720 | return (mp_topystring(MP_X(me), radix, 0, 0, 0)); |
721 | end: | |
722 | return (0); | |
723 | } | |
724 | ||
725 | static PyObject *mpmeth_modsqrt(PyObject *me, PyObject *arg) | |
726 | { | |
727 | PyObject *z = 0; | |
728 | mp *yy = 0, *zz = MP_NEW; | |
729 | ||
730 | if (!PyArg_ParseTuple(arg, "O&:modsqrt", convmp, &yy)) goto end; | |
731 | if ((zz = mp_modsqrt(MP_NEW, yy, MP_X(me))) == 0) | |
732 | VALERR("no modular square root"); | |
733 | z = mp_pywrap(zz); | |
734 | end: | |
735 | if (yy) MP_DROP(yy); | |
736 | return (z); | |
737 | } | |
738 | ||
d0d94587 MW |
739 | static PyObject *mpmeth_leastcongruent(PyObject *me, PyObject *arg) |
740 | { | |
741 | mp *z, *b, *m; | |
742 | PyObject *rc = 0; | |
743 | ||
744 | if (!PyArg_ParseTuple(arg, "O&O&:leastcongruent", convmp, &b, convmp, &m)) | |
745 | goto end; | |
746 | z = mp_leastcongruent(MP_NEW, b, MP_X(me), m); | |
747 | rc = mp_pywrap(z); | |
748 | end: | |
749 | return (rc); | |
750 | } | |
751 | ||
d7ab1bab | 752 | #define STOREOP(name, c) \ |
753 | static PyObject *mpmeth_##name(PyObject *me, \ | |
754 | PyObject *arg, PyObject *kw) \ | |
755 | { \ | |
756 | long len = -1; \ | |
a444923a | 757 | static const char *const kwlist[] = { "len", 0 }; \ |
d7ab1bab | 758 | PyObject *rc = 0; \ |
759 | \ | |
760 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|l:" #name, \ | |
827f89d7 | 761 | KWLIST, &len)) \ |
d7ab1bab | 762 | goto end; \ |
763 | if (len < 0) { \ | |
764 | len = mp_octets##c(MP_X(me)); \ | |
765 | if (!len) len = 1; \ | |
766 | } \ | |
767 | rc = bytestring_pywrap(0, len); \ | |
2135a6d3 | 768 | mp_##name(MP_X(me), BIN_PTR(rc), len); \ |
d7ab1bab | 769 | end: \ |
770 | return (rc); \ | |
771 | } | |
772 | STOREOP(storel, ) | |
773 | STOREOP(storeb, ) | |
774 | STOREOP(storel2c, 2c) | |
775 | STOREOP(storeb2c, 2c) | |
776 | #undef STOREOP | |
777 | ||
a157093f MW |
778 | #define BUFOP(ty) \ |
779 | static PyObject *ty##meth_frombuf(PyObject *me, PyObject *arg) \ | |
d7ab1bab | 780 | { \ |
781 | buf b; \ | |
67c75893 | 782 | struct bin in; \ |
d7ab1bab | 783 | PyObject *rc = 0; \ |
784 | mp *x; \ | |
785 | \ | |
67c75893 MW |
786 | if (!PyArg_ParseTuple(arg, "O&:frombuf", convbin, &in)) goto end; \ |
787 | buf_init(&b, (/*unconst*/ void *)in.p, in.sz); \ | |
d7ab1bab | 788 | if ((x = buf_getmp(&b)) == 0) VALERR("malformed data"); \ |
789 | rc = Py_BuildValue("(NN)", ty##_pywrap(x), \ | |
790 | bytestring_pywrapbuf(&b)); \ | |
791 | end: \ | |
792 | return (rc); \ | |
793 | } | |
a157093f MW |
794 | BUFOP(mp) |
795 | BUFOP(gf) | |
d7ab1bab | 796 | #undef BUFOP |
797 | ||
91e56f06 | 798 | static PyObject *mpmeth_tobuf(PyObject *me) |
d7ab1bab | 799 | { |
800 | buf b; | |
801 | PyObject *rc; | |
802 | mp *x; | |
803 | size_t n; | |
804 | ||
d7ab1bab | 805 | x = MP_X(me); |
806 | n = mp_octets(x) + 3; | |
807 | rc = bytestring_pywrap(0, n); | |
2135a6d3 | 808 | buf_init(&b, BIN_PTR(rc), n); |
d7ab1bab | 809 | buf_putmp(&b, x); |
810 | assert(BOK(&b)); | |
2135a6d3 | 811 | BIN_SETLEN(rc, BLEN(&b)); |
d7ab1bab | 812 | return (rc); |
813 | } | |
814 | ||
815 | static PyObject *mpmeth_primep(PyObject *me, PyObject *arg, PyObject *kw) | |
816 | { | |
817 | grand *r = &rand_global; | |
827f89d7 | 818 | static const char *const kwlist[] = { "rng", 0 }; |
d7ab1bab | 819 | PyObject *rc = 0; |
820 | ||
827f89d7 | 821 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&", KWLIST, convgrand, &r)) |
d7ab1bab | 822 | goto end; |
823 | rc = getbool(pgen_primep(MP_X(me), r)); | |
824 | end: | |
825 | return (rc); | |
826 | } | |
827 | ||
a157093f MW |
828 | static PyObject *mpmeth_fromstring(PyObject *me, |
829 | PyObject *arg, PyObject *kw) | |
f281293c MW |
830 | { |
831 | int r = 0; | |
832 | char *p; | |
833 | Py_ssize_t len; | |
834 | PyObject *z = 0; | |
835 | mp *zz; | |
836 | mptext_stringctx sc; | |
a157093f | 837 | static const char *const kwlist[] = { "x", "radix", 0 }; |
f281293c | 838 | |
a157093f MW |
839 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "s#|i:fromstring", KWLIST, |
840 | &p, &len, &r)) | |
f281293c MW |
841 | goto end; |
842 | if (!good_radix_p(r, 1)) VALERR("bad radix"); | |
843 | sc.buf = p; sc.lim = p + len; | |
844 | if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0) | |
845 | VALERR("bad integer"); | |
846 | z = Py_BuildValue("(Ns#)", mp_pywrap(zz), | |
847 | sc.buf, (Py_ssize_t)(sc.lim - sc.buf)); | |
848 | end: | |
849 | return (z); | |
850 | } | |
851 | ||
a157093f | 852 | static PyObject *mpmeth_factorial(PyObject *me, PyObject *arg) |
f281293c MW |
853 | { |
854 | unsigned long i; | |
855 | mp *x; | |
a157093f | 856 | if (!PyArg_ParseTuple(arg, "O&:factorial", convulong, &i)) return (0); |
f281293c MW |
857 | x = mp_factorial(i); |
858 | return mp_pywrap(x); | |
859 | } | |
860 | ||
a157093f | 861 | static PyObject *mpmeth_fibonacci(PyObject *me, PyObject *arg) |
f281293c MW |
862 | { |
863 | long i; | |
864 | mp *x; | |
a157093f | 865 | if (!PyArg_ParseTuple(arg, "l:fibonacci", &i)) return (0); |
f281293c MW |
866 | x = mp_fibonacci(i); |
867 | return mp_pywrap(x); | |
868 | } | |
869 | ||
a157093f MW |
870 | #define LOADOP(pre, name) \ |
871 | static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \ | |
f281293c | 872 | { \ |
67c75893 MW |
873 | struct bin in; \ |
874 | if (!PyArg_ParseTuple(arg, "O&:" #name, convbin, &in)) return (0); \ | |
875 | return (pre##_pywrap(mp_##name(MP_NEW, in.p, in.sz))); \ | |
f281293c | 876 | } |
a157093f MW |
877 | LOADOP(mp, loadl) |
878 | LOADOP(mp, loadb) | |
879 | LOADOP(mp, loadl2c) | |
880 | LOADOP(mp, loadb2c) | |
881 | LOADOP(gf, loadl) | |
882 | LOADOP(gf, loadb) | |
f281293c MW |
883 | #undef LOADOP |
884 | ||
d7ab1bab | 885 | static PyObject *mpget_nbits(PyObject *me, void *hunoz) |
886 | { return (PyInt_FromLong(mp_bits(MP_X(me)))); } | |
887 | ||
888 | static PyObject *mpget_noctets(PyObject *me, void *hunoz) | |
889 | { return (PyInt_FromLong(mp_octets(MP_X(me)))); } | |
890 | ||
891 | static PyObject *mpget_noctets2c(PyObject *me, void *hunoz) | |
892 | { return (PyInt_FromLong(mp_octets2c(MP_X(me)))); } | |
893 | ||
c90f712e | 894 | static const PyGetSetDef mp_pygetset[] = { |
d7ab1bab | 895 | #define GETSETNAME(op, func) mp##op##_##func |
896 | GET (nbits, "X.nbits -> bit length of X") | |
897 | GET (noctets, "X.noctets -> octet length of X") | |
898 | GET (noctets2c, "X.noctets2c -> two's complement octet length of X") | |
899 | #undef GETSETNAME | |
900 | { 0 } | |
901 | }; | |
902 | ||
c90f712e | 903 | static const PyMethodDef mp_pymethods[] = { |
d7ab1bab | 904 | #define METHNAME(func) mpmeth_##func |
c3060669 | 905 | METH (jacobi, "X.jacobi(Y) -> Jacobi symbol (Y|X) (NB inversion!)") |
d7ab1bab | 906 | METH (setbit, "X.setbit(N) -> X with bit N set") |
907 | METH (clearbit, "X.clearbit(N) -> X with bit N clear") | |
908 | METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X") | |
91e56f06 MW |
909 | NAMETH(odd, "X.odd() -> S, T where X = 2^S T with T odd") |
910 | NAMETH(sqr, "X.sqr() -> X^2") | |
911 | NAMETH(sqrt, "X.sqrt() -> largest integer <= sqrt(X)") | |
d7ab1bab | 912 | METH (gcd, "X.gcd(Y) -> gcd(X, Y)") |
d96c882e MW |
913 | METH (gcdx, "X.gcdx(Y) -> (gcd(X, Y), U, V) " |
914 | "with X U + Y V = gcd(X, Y)") | |
d7ab1bab | 915 | METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X") |
916 | METH (modsqrt, "X.modsqrt(Y) -> square root of Y mod X, if X prime") | |
d96c882e MW |
917 | METH (leastcongruent, "X.leastcongruent(B, M) -> " |
918 | "smallest Z >= B with Z == X (mod M)") | |
9edc275a | 919 | KWMETH(primep, "X.primep([rng = rand]) -> X is prime?") |
1df8d5fe MW |
920 | KWMETH(tostring, "X.tostring([radix = 10]) -> STR") |
921 | KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes") | |
922 | KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes") | |
d96c882e MW |
923 | KWMETH(storel2c, "X.storel2c([len = -1]) -> " |
924 | "little-endian bytes, two's complement") | |
925 | KWMETH(storeb2c, "X.storeb2c([len = -1]) -> " | |
926 | "big-endian bytes, two's complement") | |
91e56f06 | 927 | NAMETH(tobuf, "X.tobuf() -> buffer format") |
a157093f MW |
928 | KWSMTH(fromstring, "fromstring(STR, [radix = 0]) -> (X, REST)\n" |
929 | " Parse STR as a large integer, according to RADIX. If RADIX is\n" | |
930 | " zero, read a prefix from STR to decide radix: allow `0b' for binary,\n" | |
931 | " `0' or `0o' for octal, `0x' for hex, or `R_' for other radix R.") | |
932 | SMTH (factorial, "factorial(I) -> I!: compute factorial") | |
933 | SMTH (fibonacci, "fibonacci(I) -> F(I): compute Fibonacci number") | |
934 | SMTH (loadl, "loadl(STR) -> X: read little-endian bytes") | |
935 | SMTH (loadb, "loadb(STR) -> X: read big-endian bytes") | |
936 | SMTH (loadl2c, "loadl2c(STR) -> X: " | |
937 | "read little-endian bytes, two's complement") | |
938 | SMTH (loadb2c, "loadb2c(STR) -> X: " | |
939 | "read big-endian bytes, two's complement") | |
940 | SMTH (frombuf, "frombuf(STR) -> (X, REST): read buffer format") | |
d7ab1bab | 941 | #undef METHNAME |
942 | { 0 } | |
943 | }; | |
944 | ||
c90f712e | 945 | static const PyNumberMethods mp_pynumber = { |
d7ab1bab | 946 | mp_pyadd, /* @nb_add@ */ |
947 | mp_pysub, /* @nb_subtract@ */ | |
948 | mp_pymul, /* @nb_multiply@ */ | |
f7623015 | 949 | #ifdef PY2 |
d7ab1bab | 950 | 0, /* @nb_divide@ */ |
f7623015 | 951 | #endif |
d7ab1bab | 952 | mp_pymod, /* @nb_remainder@ */ |
953 | mp_pydivmod, /* @nb_divmod@ */ | |
954 | mp_pyexp, /* @nb_power@ */ | |
955 | mp_pyneg, /* @nb_negative@ */ | |
956 | mp_pyid, /* @nb_positive@ */ | |
957 | mp_pyabs, /* @nb_absolute@ */ | |
958 | mp_pynonzerop, /* @nb_nonzero@ */ | |
959 | mp_pynot2c, /* @nb_invert@ */ | |
960 | mp_pylsl2c, /* @nb_lshift@ */ | |
961 | mp_pylsr2c, /* @nb_rshift@ */ | |
962 | mp_pyand2c, /* @nb_and@ */ | |
963 | mp_pyxor2c, /* @nb_xor@ */ | |
964 | mp_pyor2c, /* @nb_or@ */ | |
f7623015 | 965 | #ifdef PY2 |
d7ab1bab | 966 | mp_pycoerce, /* @nb_coerce@ */ |
f7623015 | 967 | #endif |
d7ab1bab | 968 | mp_pyint, /* @nb_int@ */ |
f7623015 | 969 | PY23(mp_pylong, 0), /* @nb_long@ */ |
d7ab1bab | 970 | mp_pyfloat, /* @nb_float@ */ |
f7623015 | 971 | #ifdef PY2 |
d7ab1bab | 972 | mp_pyoct, /* @nb_oct@ */ |
973 | mp_pyhex, /* @nb_hex@ */ | |
f7623015 | 974 | #endif |
d7ab1bab | 975 | |
976 | 0, /* @nb_inplace_add@ */ | |
977 | 0, /* @nb_inplace_subtract@ */ | |
978 | 0, /* @nb_inplace_multiply@ */ | |
f7623015 | 979 | #ifdef PY2 |
d7ab1bab | 980 | 0, /* @nb_inplace_divide@ */ |
f7623015 | 981 | #endif |
d7ab1bab | 982 | 0, /* @nb_inplace_remainder@ */ |
983 | 0, /* @nb_inplace_power@ */ | |
984 | 0, /* @nb_inplace_lshift@ */ | |
985 | 0, /* @nb_inplace_rshift@ */ | |
986 | 0, /* @nb_inplace_and@ */ | |
987 | 0, /* @nb_inplace_xor@ */ | |
988 | 0, /* @nb_inplace_or@ */ | |
989 | ||
990 | mp_pydiv, /* @nb_floor_divide@ */ | |
991 | 0, /* @nb_true_divide@ */ | |
992 | 0, /* @nb_inplace_floor_divide@ */ | |
993 | 0, /* @nb_inplace_true_divide@ */ | |
a90a9c0e MW |
994 | |
995 | mp_pyint, /* @nb_index@ */ | |
d7ab1bab | 996 | }; |
997 | ||
c263b05c | 998 | static const PyTypeObject mp_pytype_skel = { |
591bf41b | 999 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1000 | "MP", /* @tp_name@ */ |
d7ab1bab | 1001 | sizeof(mp_pyobj), /* @tp_basicsize@ */ |
1002 | 0, /* @tp_itemsize@ */ | |
1003 | ||
1004 | mp_pydealloc, /* @tp_dealloc@ */ | |
1005 | 0, /* @tp_print@ */ | |
1006 | 0, /* @tp_getattr@ */ | |
1007 | 0, /* @tp_setattr@ */ | |
f7623015 | 1008 | PY23(mp_pycompare, 0), /* @tp_compare@/@tp_as_async@ */ |
d7ab1bab | 1009 | mp_pyrepr, /* @tp_repr@ */ |
c90f712e | 1010 | PYNUMBER(mp), /* @tp_as_number@ */ |
d7ab1bab | 1011 | 0, /* @tp_as_sequence@ */ |
1012 | 0, /* @tp_as_mapping@ */ | |
1013 | mp_pyhash, /* @tp_hash@ */ | |
1014 | 0, /* @tp_call@ */ | |
1015 | mp_pystr, /* @tp_str@ */ | |
1016 | 0, /* @tp_getattro@ */ | |
1017 | 0, /* @tp_setattro@ */ | |
1018 | 0, /* @tp_as_buffer@ */ | |
1019 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1020 | Py_TPFLAGS_CHECKTYPES | | |
1021 | Py_TPFLAGS_BASETYPE, | |
1022 | ||
1023 | /* @tp_doc@ */ | |
d96c882e MW |
1024 | "Multiprecision integers, similar to `long' but more efficient and\n" |
1025 | "versatile. Support all the standard arithmetic operations, with\n" | |
1026 | "implicit conversions from `PrimeFilter', and other objects which\n" | |
f7623015 | 1027 | "convert to `" PY23("long", "int") "'.\n" |
d96c882e MW |
1028 | "\n" |
1029 | "Constructor MP(X, [radix = R]) attempts to convert X to an `MP'. If\n" | |
1030 | "X is a string, it's read in radix-R form, or we look for a prefix\n" | |
1031 | "if R = 0. Other acceptable things are field elements, elliptic curve\n" | |
f7623015 | 1032 | PY23( |
d96c882e | 1033 | "points, group elements, Python `int' and `long' objects, and anything\n" |
f7623015 MW |
1034 | "with an integer conversion.\n", |
1035 | "points, group elements, Python `int' objects, and anything with an\n" | |
1036 | "integer conversion.\n") | |
d96c882e MW |
1037 | "\n" |
1038 | "Notes:\n" | |
1039 | "\n" | |
1040 | " * Use `//' for integer division: `/' gives exact rational division.", | |
d7ab1bab | 1041 | |
1042 | 0, /* @tp_traverse@ */ | |
1043 | 0, /* @tp_clear@ */ | |
77535854 | 1044 | mp_pyrichcompare, /* @tp_richcompare@ */ |
d7ab1bab | 1045 | 0, /* @tp_weaklistoffset@ */ |
1046 | 0, /* @tp_iter@ */ | |
963a6148 | 1047 | 0, /* @tp_iternext@ */ |
c90f712e | 1048 | PYMETHODS(mp), /* @tp_methods@ */ |
d7ab1bab | 1049 | 0, /* @tp_members@ */ |
c90f712e | 1050 | PYGETSET(mp), /* @tp_getset@ */ |
d7ab1bab | 1051 | 0, /* @tp_base@ */ |
1052 | 0, /* @tp_dict@ */ | |
1053 | 0, /* @tp_descr_get@ */ | |
1054 | 0, /* @tp_descr_set@ */ | |
1055 | 0, /* @tp_dictoffset@ */ | |
1056 | 0, /* @tp_init@ */ | |
1057 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1058 | mp_pynew, /* @tp_new@ */ | |
3aa33042 | 1059 | 0, /* @tp_free@ */ |
d7ab1bab | 1060 | 0 /* @tp_is_gc@ */ |
1061 | }; | |
1062 | ||
32507e35 MW |
1063 | /*----- Products of small integers ----------------------------------------*/ |
1064 | ||
c263b05c MW |
1065 | static PyTypeObject *mpmul_pytype; |
1066 | ||
32507e35 MW |
1067 | typedef struct mpmul_pyobj { |
1068 | PyObject_HEAD | |
1069 | int livep; | |
1070 | mpmul mm; | |
1071 | } mpmul_pyobj; | |
1072 | ||
1073 | #define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep) | |
1074 | #define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm) | |
1075 | ||
1076 | static void mpmul_pydealloc(PyObject *me) | |
1077 | { | |
1078 | if (MPMUL_LIVEP(me)) | |
1079 | mp_drop(mpmul_done(MPMUL_PY(me))); | |
1080 | FREEOBJ(me); | |
1081 | } | |
1082 | ||
1083 | static PyObject *mmmeth_factor(PyObject *me, PyObject *arg) | |
d7ab1bab | 1084 | { |
d7ab1bab | 1085 | PyObject *q, *i; |
1086 | mp *x; | |
1087 | ||
32507e35 | 1088 | if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid"); |
c51a597d | 1089 | if (PyTuple_GET_SIZE(arg) != 1) |
d7ab1bab | 1090 | i = PyObject_GetIter(arg); |
32507e35 | 1091 | else { |
c51a597d | 1092 | if ((q = PyTuple_GET_ITEM(arg, 0)) == 0) goto end; |
d7ab1bab | 1093 | if ((i = PyObject_GetIter(q)) == 0) { |
1094 | PyErr_Clear(); /* that's ok */ | |
1095 | i = PyObject_GetIter(arg); | |
1096 | } | |
1097 | } | |
32507e35 | 1098 | if (!i) goto end; |
d7ab1bab | 1099 | while ((q = PyIter_Next(i)) != 0) { |
1100 | x = getmp(q); Py_DECREF(q); if (!x) { | |
d7ab1bab | 1101 | Py_DECREF(i); |
32507e35 | 1102 | goto end; |
d7ab1bab | 1103 | } |
32507e35 | 1104 | mpmul_add(MPMUL_PY(me), x); |
d7ab1bab | 1105 | MP_DROP(x); |
1106 | } | |
d7ab1bab | 1107 | Py_DECREF(i); |
32507e35 MW |
1108 | RETURN_ME; |
1109 | end: | |
1110 | return (0); | |
1111 | } | |
1112 | ||
91e56f06 | 1113 | static PyObject *mmmeth_done(PyObject *me) |
32507e35 MW |
1114 | { |
1115 | mp *x; | |
1116 | ||
32507e35 MW |
1117 | if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid"); |
1118 | x = mpmul_done(MPMUL_PY(me)); | |
1119 | MPMUL_LIVEP(me) = 0; | |
d7ab1bab | 1120 | return (mp_pywrap(x)); |
32507e35 MW |
1121 | end: |
1122 | return (0); | |
d7ab1bab | 1123 | } |
1124 | ||
32507e35 MW |
1125 | static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) |
1126 | { | |
1127 | mpmul_pyobj *mm; | |
1128 | ||
1129 | if (kw) TYERR("keyword arguments not allowed here"); | |
1130 | mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0); | |
1131 | mpmul_init(&mm->mm); | |
1132 | mm->livep = 1; | |
1133 | if (mmmeth_factor((PyObject *)mm, arg) == 0) { | |
1134 | Py_DECREF(mm); | |
1135 | goto end; | |
d7ab1bab | 1136 | } |
32507e35 MW |
1137 | return ((PyObject *)mm); |
1138 | end: | |
1139 | return (0); | |
1140 | } | |
1141 | ||
1142 | static PyObject *mmget_livep(PyObject *me, void *hunoz) | |
1143 | { return (getbool(MPMUL_LIVEP(me))); } | |
1144 | ||
c90f712e | 1145 | static const PyGetSetDef mpmul_pygetset[] = { |
32507e35 | 1146 | #define GETSETNAME(op, name) mm##op##_##name |
d96c882e | 1147 | GET (livep, "MM.livep -> flag: object still valid?") |
32507e35 MW |
1148 | #undef GETSETNAME |
1149 | { 0 } | |
1150 | }; | |
1151 | ||
c90f712e | 1152 | static const PyMethodDef mpmul_pymethods[] = { |
32507e35 | 1153 | #define METHNAME(name) mmmeth_##name |
d96c882e | 1154 | METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)") |
91e56f06 | 1155 | NAMETH(done, "MM.done() -> PRODUCT") |
32507e35 MW |
1156 | #undef METHNAME |
1157 | { 0 } | |
1158 | }; | |
1159 | ||
c263b05c | 1160 | static const PyTypeObject mpmul_pytype_skel = { |
591bf41b | 1161 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1162 | "MPMul", /* @tp_name@ */ |
32507e35 MW |
1163 | sizeof(mpmul_pyobj), /* @tp_basicsize@ */ |
1164 | 0, /* @tp_itemsize@ */ | |
1165 | ||
1166 | mpmul_pydealloc, /* @tp_dealloc@ */ | |
1167 | 0, /* @tp_print@ */ | |
1168 | 0, /* @tp_getattr@ */ | |
1169 | 0, /* @tp_setattr@ */ | |
1170 | 0, /* @tp_compare@ */ | |
1171 | 0, /* @tp_repr@ */ | |
1172 | 0, /* @tp_as_number@ */ | |
1173 | 0, /* @tp_as_sequence@ */ | |
1174 | 0, /* @tp_as_mapping@ */ | |
1175 | 0, /* @tp_hash@ */ | |
1176 | 0, /* @tp_call@ */ | |
1177 | 0, /* @tp_str@ */ | |
1178 | 0, /* @tp_getattro@ */ | |
1179 | 0, /* @tp_setattro@ */ | |
1180 | 0, /* @tp_as_buffer@ */ | |
1181 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1182 | Py_TPFLAGS_BASETYPE, | |
1183 | ||
1184 | /* @tp_doc@ */ | |
d96c882e | 1185 | "MPMul(N_0, N_1, ....): an object for multiplying many small integers.", |
32507e35 MW |
1186 | |
1187 | 0, /* @tp_traverse@ */ | |
1188 | 0, /* @tp_clear@ */ | |
1189 | 0, /* @tp_richcompare@ */ | |
1190 | 0, /* @tp_weaklistoffset@ */ | |
1191 | 0, /* @tp_iter@ */ | |
1192 | 0, /* @tp_iternext@ */ | |
c90f712e | 1193 | PYMETHODS(mpmul), /* @tp_methods@ */ |
32507e35 | 1194 | 0, /* @tp_members@ */ |
c90f712e | 1195 | PYGETSET(mpmul), /* @tp_getset@ */ |
32507e35 MW |
1196 | 0, /* @tp_base@ */ |
1197 | 0, /* @tp_dict@ */ | |
1198 | 0, /* @tp_descr_get@ */ | |
1199 | 0, /* @tp_descr_set@ */ | |
1200 | 0, /* @tp_dictoffset@ */ | |
1201 | 0, /* @tp_init@ */ | |
1202 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1203 | mpmul_pynew, /* @tp_new@ */ | |
1204 | 0, /* @tp_free@ */ | |
1205 | 0 /* @tp_is_gc@ */ | |
1206 | }; | |
d7ab1bab | 1207 | |
1208 | /*----- Montgomery reduction ----------------------------------------------*/ | |
1209 | ||
c263b05c MW |
1210 | static PyTypeObject *mpmont_pytype; |
1211 | ||
d7ab1bab | 1212 | typedef struct mpmont_pyobj { |
1213 | PyObject_HEAD | |
1214 | mpmont mm; | |
1215 | } mpmont_pyobj; | |
1216 | ||
1217 | #define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm) | |
1218 | ||
1219 | static PyObject *mmmeth_int(PyObject *me, PyObject *arg) | |
1220 | { | |
1221 | PyObject *z = 0; | |
1222 | mp *yy = 0; | |
1223 | mpmont *mm = MPMONT_PY(me); | |
1224 | ||
1225 | if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy)) | |
1226 | goto end; | |
1227 | mp_div(0, &yy, yy, mm->m); | |
1228 | z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2)); | |
1229 | end: | |
1230 | if (yy) MP_DROP(yy); | |
1231 | return (z); | |
1232 | } | |
1233 | ||
1234 | static PyObject *mmmeth_mul(PyObject *me, PyObject *arg) | |
1235 | { | |
1236 | PyObject *rc = 0; | |
1237 | mp *yy = 0, *zz = 0; | |
1238 | ||
1239 | if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz)) | |
1240 | goto end; | |
1241 | rc = mp_pywrap(mpmont_mul(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1242 | end: | |
1243 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1244 | return (rc); | |
1245 | } | |
1246 | ||
1247 | static PyObject *mmmeth_exp(PyObject *me, PyObject *arg) | |
1248 | { | |
1249 | PyObject *rc = 0; | |
1250 | mp *yy = 0, *zz = 0; | |
1251 | ||
1252 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1253 | goto end; | |
1254 | if (MP_NEGP(zz)) { | |
1255 | if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end; | |
1256 | zz = mp_neg(zz, zz); | |
1257 | } | |
1258 | rc = mp_pywrap(mpmont_exp(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1259 | end: | |
1260 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1261 | return (rc); | |
1262 | } | |
1263 | ||
1264 | static PyObject *mmmeth_expr(PyObject *me, PyObject *arg) | |
1265 | { | |
1266 | PyObject *rc = 0; | |
1267 | mp *yy = 0, *zz = 0; | |
1268 | ||
1269 | if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz)) | |
1270 | goto end; | |
1271 | if (MP_NEGP(zz)) { | |
1272 | yy = mpmont_reduce(MPMONT_PY(me), yy, yy); | |
1273 | if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end; | |
1274 | yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2); | |
1275 | zz = mp_neg(zz, zz); | |
1276 | } | |
1277 | rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1278 | end: | |
1279 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1280 | return (rc); | |
1281 | } | |
1282 | ||
1283 | static PyObject *mm_mexpr_id(PyObject *me) | |
1284 | { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); } | |
1285 | ||
1286 | static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y) | |
1287 | { | |
1288 | mp *xx = 0, *yy = 0; | |
1289 | mp_expfactor *f = p; | |
1290 | mpmont *mm = MPMONT_PY(me); | |
1291 | ||
1292 | if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0) | |
1293 | goto fail; | |
1294 | if (MP_NEGP(yy)) { | |
1295 | xx = mpmont_reduce(mm, xx, xx); | |
1296 | if ((xx = mp_modinv_checked(xx, xx, yy)) == 0) | |
1297 | goto fail; | |
1298 | xx = mpmont_mul(mm, xx, xx, mm->r2); | |
1299 | yy = mp_neg(yy, yy); | |
1300 | } | |
1301 | f->base = xx; | |
1302 | f->exp = yy; | |
1303 | return (0); | |
1304 | ||
1305 | fail: | |
1306 | mp_drop(xx); mp_drop(yy); | |
1307 | return (-1); | |
1308 | } | |
1309 | ||
1310 | static PyObject *mm_mexpr(PyObject *me, void *v, int n) | |
1311 | { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); } | |
b2687a0a | 1312 | |
d7ab1bab | 1313 | static void mp_mexp_drop(void *p) |
1314 | { | |
1315 | mp_expfactor *f = p; | |
1316 | mp_drop(f->base); | |
1317 | mp_drop(f->exp); | |
1318 | } | |
1319 | ||
1320 | static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg) | |
1321 | { | |
1322 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1323 | mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop); | |
1324 | } | |
1325 | ||
1326 | static PyObject *mp_mexp_id(PyObject *me) | |
1327 | { return mp_pywrap(MP_ONE); } | |
1328 | ||
1329 | static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y) | |
1330 | { | |
1331 | mp *xx = 0, *yy = 0; | |
1332 | mp_expfactor *f = p; | |
1333 | ||
1334 | if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0) | |
1335 | goto fail; | |
1336 | if (MP_NEGP(yy)) { | |
1337 | if ((xx = mp_modinv_checked(xx, xx, yy)) == 0) | |
1338 | goto fail; | |
1339 | yy = mp_neg(yy, yy); | |
1340 | } | |
1341 | f->base = xx; | |
1342 | f->exp = yy; | |
1343 | return (0); | |
1344 | ||
1345 | fail: | |
1346 | mp_drop(xx); mp_drop(yy); | |
1347 | return (-1); | |
1348 | } | |
1349 | ||
1350 | static PyObject *mm_mexp(PyObject *me, void *v, int n) | |
1351 | { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); } | |
b2687a0a | 1352 | |
d7ab1bab | 1353 | static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg) |
1354 | { | |
1355 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1356 | mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop); | |
1357 | } | |
1358 | ||
1359 | #define mmmeth_ext mmmeth_reduce | |
1360 | static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg) | |
1361 | { | |
1362 | PyObject *z = 0; | |
1363 | mp *yy = 0; | |
1364 | ||
1365 | if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end; | |
1366 | z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy)); | |
1367 | end: | |
1368 | return (z); | |
1369 | } | |
1370 | ||
1371 | static void mpmont_pydealloc(PyObject *me) | |
1372 | { | |
1373 | mpmont_destroy(MPMONT_PY(me)); | |
3aa33042 | 1374 | FREEOBJ(me); |
d7ab1bab | 1375 | } |
1376 | ||
1377 | static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1378 | { | |
1379 | mpmont_pyobj *mm = 0; | |
827f89d7 | 1380 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1381 | mp *xx = 0; |
1382 | ||
827f89d7 | 1383 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1384 | goto end; |
1385 | if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd"); | |
1386 | mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0); | |
1387 | mpmont_create(&mm->mm, xx); | |
1388 | end: | |
1389 | if (xx) MP_DROP(xx); | |
1390 | return ((PyObject *)mm); | |
1391 | } | |
1392 | ||
1393 | static PyObject *mmget_m(PyObject *me, void *hunoz) | |
1394 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); } | |
1395 | ||
1396 | static PyObject *mmget_r(PyObject *me, void *hunoz) | |
1397 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); } | |
1398 | ||
1399 | static PyObject *mmget_r2(PyObject *me, void *hunoz) | |
1400 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); } | |
1401 | ||
c90f712e | 1402 | static const PyGetSetDef mpmont_pygetset[] = { |
d7ab1bab | 1403 | #define GETSETNAME(op, name) mm##op##_##name |
1404 | GET (m, "M.m -> modulus for reduction") | |
1405 | GET (r, "M.r -> multiplicative identity") | |
1406 | GET (r2, "M.r2 -> M.r^2, Montgomerization factor") | |
1407 | #undef GETSETNAME | |
1408 | { 0 } | |
1409 | }; | |
1410 | ||
c90f712e | 1411 | static const PyMethodDef mpmont_pymethods[] = { |
d7ab1bab | 1412 | #define METHNAME(name) mmmeth_##name |
986bcc44 | 1413 | METH (int, "M.int(X) -> XR") |
d7ab1bab | 1414 | METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y") |
1415 | METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m") | |
d96c882e MW |
1416 | METH (mexpr, "M.mexpr([(XR0, N0), (XR1, N1), ...]) = ZR " |
1417 | "where Z = X0^N0 X1^N1 ... mod M.m\n" | |
1418 | "\t(the list may be flattened if this more convenient.)") | |
d7ab1bab | 1419 | METH (reduce, "M.reduce(XR) -> X") |
1420 | METH (ext, "M.ext(XR) -> X") | |
1421 | METH (exp, "M.exp(X, N) -> X^N mod M.m") | |
d96c882e MW |
1422 | METH (mexp, "M.mexp([(X0, N0), (X1, N1), ...]) = " |
1423 | "X0^N0 X1^N1 ... mod M.m\n" | |
1424 | "\t(the list may be flattened if this more convenient.)") | |
d7ab1bab | 1425 | #undef METHNAME |
1426 | { 0 } | |
1427 | }; | |
1428 | ||
c263b05c | 1429 | static const PyTypeObject mpmont_pytype_skel = { |
591bf41b | 1430 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1431 | "MPMont", /* @tp_name@ */ |
d7ab1bab | 1432 | sizeof(mpmont_pyobj), /* @tp_basicsize@ */ |
1433 | 0, /* @tp_itemsize@ */ | |
1434 | ||
1435 | mpmont_pydealloc, /* @tp_dealloc@ */ | |
1436 | 0, /* @tp_print@ */ | |
1437 | 0, /* @tp_getattr@ */ | |
1438 | 0, /* @tp_setattr@ */ | |
1439 | 0, /* @tp_compare@ */ | |
1440 | 0, /* @tp_repr@ */ | |
1441 | 0, /* @tp_as_number@ */ | |
1442 | 0, /* @tp_as_sequence@ */ | |
1443 | 0, /* @tp_as_mapping@ */ | |
1444 | 0, /* @tp_hash@ */ | |
1445 | 0, /* @tp_call@ */ | |
1446 | 0, /* @tp_str@ */ | |
1447 | 0, /* @tp_getattro@ */ | |
1448 | 0, /* @tp_setattro@ */ | |
1449 | 0, /* @tp_as_buffer@ */ | |
1450 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1451 | Py_TPFLAGS_BASETYPE, | |
1452 | ||
1453 | /* @tp_doc@ */ | |
d96c882e | 1454 | "MPMont(N): a Montgomery reduction context.", |
d7ab1bab | 1455 | |
1456 | 0, /* @tp_traverse@ */ | |
1457 | 0, /* @tp_clear@ */ | |
1458 | 0, /* @tp_richcompare@ */ | |
1459 | 0, /* @tp_weaklistoffset@ */ | |
1460 | 0, /* @tp_iter@ */ | |
963a6148 | 1461 | 0, /* @tp_iternext@ */ |
c90f712e | 1462 | PYMETHODS(mpmont), /* @tp_methods@ */ |
d7ab1bab | 1463 | 0, /* @tp_members@ */ |
c90f712e | 1464 | PYGETSET(mpmont), /* @tp_getset@ */ |
d7ab1bab | 1465 | 0, /* @tp_base@ */ |
1466 | 0, /* @tp_dict@ */ | |
1467 | 0, /* @tp_descr_get@ */ | |
1468 | 0, /* @tp_descr_set@ */ | |
1469 | 0, /* @tp_dictoffset@ */ | |
1470 | 0, /* @tp_init@ */ | |
1471 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1472 | mpmont_pynew, /* @tp_new@ */ | |
3aa33042 | 1473 | 0, /* @tp_free@ */ |
d7ab1bab | 1474 | 0 /* @tp_is_gc@ */ |
1475 | }; | |
1476 | ||
1477 | /*----- Barrett reduction -------------------------------------------------*/ | |
1478 | ||
c263b05c MW |
1479 | static PyTypeObject *mpbarrett_pytype; |
1480 | ||
d7ab1bab | 1481 | typedef struct mpbarrett_pyobj { |
1482 | PyObject_HEAD | |
1483 | mpbarrett mb; | |
1484 | } mpbarrett_pyobj; | |
1485 | ||
1486 | #define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb) | |
1487 | ||
1488 | static PyObject *mbmeth_exp(PyObject *me, PyObject *arg) | |
1489 | { | |
1490 | PyObject *rc = 0; | |
1491 | mp *yy = 0, *zz = 0; | |
1492 | ||
1493 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1494 | goto end; | |
1495 | if (MP_NEGP(zz)) { | |
1496 | if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end; | |
1497 | zz = mp_neg(zz, zz); | |
1498 | } | |
1499 | rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz)); | |
1500 | end: | |
1501 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1502 | return (rc); | |
1503 | } | |
1504 | ||
1505 | static PyObject *mb_mexp(PyObject *me, void *v, int n) | |
1506 | { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); } | |
b2687a0a | 1507 | |
d7ab1bab | 1508 | static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg) |
1509 | { | |
1510 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1511 | mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop); | |
1512 | } | |
1513 | ||
1514 | static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg) | |
1515 | { | |
1516 | PyObject *z = 0; | |
1517 | mp *yy = 0; | |
1518 | ||
1519 | if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) | |
1520 | goto end; | |
1521 | z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy)); | |
1522 | end: | |
1523 | return (z); | |
1524 | } | |
1525 | ||
1526 | static void mpbarrett_pydealloc(PyObject *me) | |
1527 | { | |
1528 | mpbarrett_destroy(MPBARRETT_PY(me)); | |
3aa33042 | 1529 | FREEOBJ(me); |
d7ab1bab | 1530 | } |
1531 | ||
1532 | static PyObject *mpbarrett_pynew(PyTypeObject *ty, | |
1533 | PyObject *arg, PyObject *kw) | |
1534 | { | |
1535 | mpbarrett_pyobj *mb = 0; | |
827f89d7 | 1536 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1537 | mp *xx = 0; |
1538 | ||
827f89d7 | 1539 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1540 | goto end; |
1541 | if (!MP_POSP(xx)) VALERR("m must be positive"); | |
1542 | mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0); | |
1543 | mpbarrett_create(&mb->mb, xx); | |
1544 | end: | |
1545 | if (xx) MP_DROP(xx); | |
1546 | return ((PyObject *)mb); | |
1547 | } | |
1548 | ||
1549 | static PyObject *mbget_m(PyObject *me, void *hunoz) | |
1550 | { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); } | |
1551 | ||
c90f712e | 1552 | static const PyGetSetDef mpbarrett_pygetset[] = { |
d7ab1bab | 1553 | #define GETSETNAME(op, name) mb##op##_##name |
1554 | GET (m, "B.m -> modulus for reduction") | |
1555 | #undef GETSETNAME | |
1556 | { 0 } | |
1557 | }; | |
1558 | ||
c90f712e | 1559 | static const PyMethodDef mpbarrett_pymethods[] = { |
d7ab1bab | 1560 | #define METHNAME(name) mbmeth_##name |
1561 | METH (reduce, "B.reduce(X) -> X mod B.m") | |
1562 | METH (exp, "B.exp(X, N) -> X^N mod B.m") | |
d96c882e MW |
1563 | METH (mexp, "B.mexp([(X0, N0), (X1, N1), ...]) = " |
1564 | "X0^N0 X1^N1 ... mod B.m\n" | |
1565 | "\t(the list may be flattened if this more convenient.)") | |
d7ab1bab | 1566 | #undef METHNAME |
1567 | { 0 } | |
1568 | }; | |
1569 | ||
c263b05c | 1570 | static const PyTypeObject mpbarrett_pytype_skel = { |
591bf41b | 1571 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1572 | "MPBarrett", /* @tp_name@ */ |
d7ab1bab | 1573 | sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */ |
1574 | 0, /* @tp_itemsize@ */ | |
1575 | ||
1576 | mpbarrett_pydealloc, /* @tp_dealloc@ */ | |
1577 | 0, /* @tp_print@ */ | |
1578 | 0, /* @tp_getattr@ */ | |
1579 | 0, /* @tp_setattr@ */ | |
1580 | 0, /* @tp_compare@ */ | |
1581 | 0, /* @tp_repr@ */ | |
1582 | 0, /* @tp_as_number@ */ | |
1583 | 0, /* @tp_as_sequence@ */ | |
1584 | 0, /* @tp_as_mapping@ */ | |
1585 | 0, /* @tp_hash@ */ | |
1586 | 0, /* @tp_call@ */ | |
1587 | 0, /* @tp_str@ */ | |
1588 | 0, /* @tp_getattro@ */ | |
1589 | 0, /* @tp_setattro@ */ | |
1590 | 0, /* @tp_as_buffer@ */ | |
1591 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1592 | Py_TPFLAGS_BASETYPE, | |
1593 | ||
1594 | /* @tp_doc@ */ | |
d96c882e | 1595 | "MPBarrett(N): a Barrett reduction context.", |
d7ab1bab | 1596 | |
1597 | 0, /* @tp_traverse@ */ | |
1598 | 0, /* @tp_clear@ */ | |
1599 | 0, /* @tp_richcompare@ */ | |
1600 | 0, /* @tp_weaklistoffset@ */ | |
1601 | 0, /* @tp_iter@ */ | |
963a6148 | 1602 | 0, /* @tp_iternext@ */ |
c90f712e | 1603 | PYMETHODS(mpbarrett), /* @tp_methods@ */ |
d7ab1bab | 1604 | 0, /* @tp_members@ */ |
c90f712e | 1605 | PYGETSET(mpbarrett), /* @tp_getset@ */ |
d7ab1bab | 1606 | 0, /* @tp_base@ */ |
1607 | 0, /* @tp_dict@ */ | |
1608 | 0, /* @tp_descr_get@ */ | |
1609 | 0, /* @tp_descr_set@ */ | |
1610 | 0, /* @tp_dictoffset@ */ | |
1611 | 0, /* @tp_init@ */ | |
1612 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1613 | mpbarrett_pynew, /* @tp_new@ */ | |
3aa33042 | 1614 | 0, /* @tp_free@ */ |
d7ab1bab | 1615 | 0 /* @tp_is_gc@ */ |
1616 | }; | |
1617 | ||
1618 | /*----- Nice prime reduction ----------------------------------------------*/ | |
1619 | ||
c263b05c MW |
1620 | static PyTypeObject *mpreduce_pytype; |
1621 | ||
d7ab1bab | 1622 | typedef struct mpreduce_pyobj { |
1623 | PyObject_HEAD | |
1624 | mpreduce mr; | |
1625 | } mpreduce_pyobj; | |
1626 | ||
1627 | #define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr) | |
1628 | ||
1629 | static PyObject *mrmeth_exp(PyObject *me, PyObject *arg) | |
1630 | { | |
1631 | PyObject *rc = 0; | |
1632 | mp *yy = 0, *zz = 0; | |
1633 | ||
1634 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1635 | goto end; | |
1636 | if (MP_NEGP(zz)) { | |
1637 | if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end; | |
1638 | zz = mp_neg(zz, zz); | |
1639 | } | |
1640 | rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz)); | |
1641 | end: | |
1642 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1643 | return (rc); | |
1644 | } | |
1645 | ||
1646 | static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg) | |
1647 | { | |
1648 | PyObject *z = 0; | |
1649 | mp *yy = 0; | |
1650 | ||
1651 | if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end; | |
1652 | z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy)); | |
1653 | end: | |
1654 | return (z); | |
1655 | } | |
1656 | ||
1657 | static void mpreduce_pydealloc(PyObject *me) | |
1658 | { | |
1659 | mpreduce_destroy(MPREDUCE_PY(me)); | |
3aa33042 | 1660 | FREEOBJ(me); |
d7ab1bab | 1661 | } |
1662 | ||
1663 | static PyObject *mpreduce_pynew(PyTypeObject *ty, | |
1664 | PyObject *arg, PyObject *kw) | |
1665 | { | |
1666 | mpreduce_pyobj *mr = 0; | |
1667 | mpreduce r; | |
827f89d7 | 1668 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1669 | mp *xx = 0; |
1670 | ||
827f89d7 | 1671 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1672 | goto end; |
1673 | if (!MP_POSP(xx)) VALERR("m must be positive"); | |
1674 | if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)"); | |
1675 | mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0); | |
1676 | mr->mr = r; | |
1677 | end: | |
1678 | if (xx) MP_DROP(xx); | |
1679 | return ((PyObject *)mr); | |
1680 | } | |
1681 | ||
1682 | static PyObject *mrget_m(PyObject *me, void *hunoz) | |
1683 | { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); } | |
1684 | ||
c90f712e | 1685 | static const PyGetSetDef mpreduce_pygetset[] = { |
d7ab1bab | 1686 | #define GETSETNAME(op, name) mr##op##_##name |
1687 | GET (m, "R.m -> modulus for reduction") | |
1688 | #undef GETSETNAME | |
1689 | { 0 } | |
1690 | }; | |
1691 | ||
c90f712e | 1692 | static const const PyMethodDef mpreduce_pymethods[] = { |
d7ab1bab | 1693 | #define METHNAME(name) mrmeth_##name |
1694 | METH (reduce, "R.reduce(X) -> X mod B.m") | |
1695 | METH (exp, "R.exp(X, N) -> X^N mod B.m") | |
1696 | #undef METHNAME | |
1697 | { 0 } | |
1698 | }; | |
1699 | ||
c263b05c | 1700 | static const PyTypeObject mpreduce_pytype_skel = { |
591bf41b | 1701 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1702 | "MPReduce", /* @tp_name@ */ |
d7ab1bab | 1703 | sizeof(mpreduce_pyobj), /* @tp_basicsize@ */ |
1704 | 0, /* @tp_itemsize@ */ | |
1705 | ||
1706 | mpreduce_pydealloc, /* @tp_dealloc@ */ | |
1707 | 0, /* @tp_print@ */ | |
1708 | 0, /* @tp_getattr@ */ | |
1709 | 0, /* @tp_setattr@ */ | |
1710 | 0, /* @tp_compare@ */ | |
1711 | 0, /* @tp_repr@ */ | |
1712 | 0, /* @tp_as_number@ */ | |
1713 | 0, /* @tp_as_sequence@ */ | |
1714 | 0, /* @tp_as_mapping@ */ | |
1715 | 0, /* @tp_hash@ */ | |
1716 | 0, /* @tp_call@ */ | |
1717 | 0, /* @tp_str@ */ | |
1718 | 0, /* @tp_getattro@ */ | |
1719 | 0, /* @tp_setattro@ */ | |
1720 | 0, /* @tp_as_buffer@ */ | |
1721 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1722 | Py_TPFLAGS_BASETYPE, | |
1723 | ||
1724 | /* @tp_doc@ */ | |
d96c882e | 1725 | "MPReduce(N): a reduction context for reduction modulo Solinas primes.", |
d7ab1bab | 1726 | |
1727 | 0, /* @tp_traverse@ */ | |
1728 | 0, /* @tp_clear@ */ | |
1729 | 0, /* @tp_richcompare@ */ | |
1730 | 0, /* @tp_weaklistoffset@ */ | |
1731 | 0, /* @tp_iter@ */ | |
963a6148 | 1732 | 0, /* @tp_iternext@ */ |
c90f712e | 1733 | PYMETHODS(mpreduce), /* @tp_methods@ */ |
d7ab1bab | 1734 | 0, /* @tp_members@ */ |
c90f712e | 1735 | PYGETSET(mpreduce), /* @tp_getset@ */ |
d7ab1bab | 1736 | 0, /* @tp_base@ */ |
1737 | 0, /* @tp_dict@ */ | |
1738 | 0, /* @tp_descr_get@ */ | |
1739 | 0, /* @tp_descr_set@ */ | |
1740 | 0, /* @tp_dictoffset@ */ | |
1741 | 0, /* @tp_init@ */ | |
1742 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1743 | mpreduce_pynew, /* @tp_new@ */ | |
3aa33042 | 1744 | 0, /* @tp_free@ */ |
d7ab1bab | 1745 | 0 /* @tp_is_gc@ */ |
1746 | }; | |
1747 | ||
1748 | /*----- Chinese Remainder Theorem solution --------------------------------*/ | |
1749 | ||
c263b05c MW |
1750 | static PyTypeObject *mpcrt_pytype; |
1751 | ||
d7ab1bab | 1752 | typedef struct mpcrt_pyobj { |
1753 | PyObject_HEAD | |
1754 | mpcrt c; | |
1755 | } mpcrt_pyobj; | |
1756 | ||
1757 | #define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c) | |
1758 | ||
1759 | static PyObject *mcmeth_solve(PyObject *me, PyObject *arg) | |
1760 | { | |
1761 | mpcrt *c = MPCRT_PY(me); | |
1762 | PyObject *q = 0, *x, *z = 0; | |
1763 | mp *xx; | |
1764 | mp **v = 0; | |
77a0d53f | 1765 | Py_ssize_t i = 0, n = c->k; |
d7ab1bab | 1766 | |
1767 | Py_INCREF(me); | |
c51a597d | 1768 | if (PyTuple_GET_SIZE(arg) == n) |
d7ab1bab | 1769 | q = arg; |
1770 | else if (!PyArg_ParseTuple(arg, "O:solve", &q)) | |
1771 | goto end; | |
1772 | Py_INCREF(q); | |
1773 | if (!PySequence_Check(q)) TYERR("want a sequence of residues"); | |
4281a7ee MW |
1774 | i = PySequence_Size(q); if (i < 0) goto end; |
1775 | if (i != n) VALERR("residue count mismatch"); | |
d7ab1bab | 1776 | v = xmalloc(n * sizeof(*v)); |
1777 | for (i = 0; i < n; i++) { | |
1778 | if ((x = PySequence_GetItem(q, i)) == 0) goto end; | |
1779 | xx = getmp(x); Py_DECREF(x); if (!xx) goto end; | |
1780 | v[i] = xx; | |
1781 | } | |
1782 | z = mp_pywrap(mpcrt_solve(c, MP_NEW, v)); | |
1783 | end: | |
1784 | if (v) { | |
1785 | n = i; | |
1786 | for (i = 0; i < n; i++) | |
1787 | MP_DROP(v[i]); | |
1788 | xfree(v); | |
1789 | } | |
1790 | Py_DECREF(me); | |
1791 | Py_XDECREF(q); | |
1792 | return (z); | |
1793 | } | |
1794 | ||
1795 | static void mpcrt_pydealloc(PyObject *me) | |
1796 | { | |
1797 | mpcrt *c = MPCRT_PY(me); | |
1798 | mpcrt_destroy(c); | |
1799 | xfree(c->v); | |
1800 | } | |
1801 | ||
1802 | static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1803 | { | |
1804 | mpcrt_mod *v = 0; | |
77a0d53f | 1805 | Py_ssize_t n, i = 0, j; |
827f89d7 | 1806 | static const char *const kwlist[] = { "mv", 0 }; |
d7ab1bab | 1807 | PyObject *q = 0, *x; |
d2b7e92c MW |
1808 | mp *xx = MP_NEW, *y = MP_NEW, *g = MP_NEW; |
1809 | mpmul mm; | |
d7ab1bab | 1810 | mpcrt_pyobj *c = 0; |
1811 | ||
c51a597d | 1812 | if (PyTuple_GET_SIZE(arg) > 1) |
d7ab1bab | 1813 | q = arg; |
827f89d7 | 1814 | else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", KWLIST, &q)) |
d7ab1bab | 1815 | goto end; |
1816 | Py_INCREF(q); | |
1817 | if (!PySequence_Check(q)) TYERR("want a sequence of moduli"); | |
4281a7ee | 1818 | n = PySequence_Size(q); if (n < 0) goto end; |
d7ab1bab | 1819 | if (!n) VALERR("want at least one modulus"); |
1820 | v = xmalloc(n * sizeof(*v)); | |
1821 | for (i = 0; i < n; i++) { | |
1822 | if ((x = PySequence_GetItem(q, i)) == 0) goto end; | |
1823 | xx = getmp(x); Py_DECREF(x); if (!xx) goto end; | |
684cd535 | 1824 | if (MP_CMP(xx, <=, MP_ZERO)) VALERR("moduli must be positive"); |
4e02c19c | 1825 | v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0; xx = MP_NEW; |
d7ab1bab | 1826 | } |
d2b7e92c MW |
1827 | mpmul_init(&mm); |
1828 | for (j = 0; j < i; j++) mpmul_add(&mm, v[j].m); | |
1829 | xx = mpmul_done(&mm); | |
1830 | for (j = 0; j < i; j++) { | |
1831 | mp_div(&y, 0, xx, v[j].m); | |
1832 | mp_gcd(&g, 0, 0, y, v[j].m); | |
1833 | if (!MP_EQ(g, MP_ONE)) VALERR("moduli must be pairwise coprime"); | |
1834 | } | |
1835 | ||
d7ab1bab | 1836 | c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0); |
1837 | mpcrt_create(&c->c, v, n, 0); | |
1838 | Py_DECREF(q); | |
d2b7e92c | 1839 | mp_drop(xx); mp_drop(y); mp_drop(g); |
d7ab1bab | 1840 | return ((PyObject *)c); |
1841 | ||
1842 | end: | |
1843 | if (v) { | |
1844 | n = i; | |
1845 | for (i = 0; i < n; i++) | |
1846 | MP_DROP(v[i].m); | |
1847 | xfree(v); | |
1848 | } | |
1849 | Py_XDECREF(q); | |
d2b7e92c | 1850 | mp_drop(xx); mp_drop(y); mp_drop(g); |
d7ab1bab | 1851 | return (0); |
1852 | } | |
1853 | ||
1854 | static PyObject *mcget_product(PyObject *me, void *hunoz) | |
1855 | { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); } | |
1856 | ||
1857 | static PyObject *mcget_moduli(PyObject *me, void *hunoz) | |
1858 | { | |
1859 | int i; | |
1860 | PyObject *q; | |
1861 | mpcrt *c = MPCRT_PY(me); | |
1862 | ||
1863 | if ((q = PyList_New(c->k)) == 0) return (0); | |
1864 | for (i = 0; i < c->k; i++) | |
c51a597d | 1865 | PyList_SET_ITEM(q, i, mp_pywrap(c->v[i].m)); |
d7ab1bab | 1866 | return (q); |
1867 | } | |
1868 | ||
c90f712e | 1869 | static const PyGetSetDef mpcrt_pygetset[] = { |
d7ab1bab | 1870 | #define GETSETNAME(op, name) mc##op##_##name |
1871 | GET (product, "C.product -> product of moduli") | |
1872 | GET (moduli, "C.moduli -> list of individual moduli") | |
1873 | #undef GETSETNAME | |
1874 | { 0 } | |
1875 | }; | |
1876 | ||
c90f712e | 1877 | static const PyMethodDef mpcrt_pymethods[] = { |
d7ab1bab | 1878 | #define METHNAME(name) mcmeth_##name |
1879 | METH (solve, "C.solve([R0, R1]) -> X mod C.product") | |
1880 | #undef METHNAME | |
1881 | { 0 } | |
1882 | }; | |
1883 | ||
c263b05c | 1884 | static const PyTypeObject mpcrt_pytype_skel = { |
591bf41b | 1885 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1886 | "MPCRT", /* @tp_name@ */ |
d7ab1bab | 1887 | sizeof(mpcrt_pyobj), /* @tp_basicsize@ */ |
1888 | 0, /* @tp_itemsize@ */ | |
1889 | ||
1890 | mpcrt_pydealloc, /* @tp_dealloc@ */ | |
1891 | 0, /* @tp_print@ */ | |
1892 | 0, /* @tp_getattr@ */ | |
1893 | 0, /* @tp_setattr@ */ | |
1894 | 0, /* @tp_compare@ */ | |
1895 | 0, /* @tp_repr@ */ | |
1896 | 0, /* @tp_as_number@ */ | |
1897 | 0, /* @tp_as_sequence@ */ | |
1898 | 0, /* @tp_as_mapping@ */ | |
1899 | 0, /* @tp_hash@ */ | |
1900 | 0, /* @tp_call@ */ | |
1901 | 0, /* @tp_str@ */ | |
1902 | 0, /* @tp_getattro@ */ | |
1903 | 0, /* @tp_setattro@ */ | |
1904 | 0, /* @tp_as_buffer@ */ | |
1905 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1906 | Py_TPFLAGS_BASETYPE, | |
1907 | ||
1908 | /* @tp_doc@ */ | |
d96c882e | 1909 | "MPCRT(SEQ): a context for solving Chinese Remainder Theorem problems.", |
d7ab1bab | 1910 | |
1911 | 0, /* @tp_traverse@ */ | |
1912 | 0, /* @tp_clear@ */ | |
1913 | 0, /* @tp_richcompare@ */ | |
1914 | 0, /* @tp_weaklistoffset@ */ | |
1915 | 0, /* @tp_iter@ */ | |
963a6148 | 1916 | 0, /* @tp_iternext@ */ |
c90f712e | 1917 | PYMETHODS(mpcrt), /* @tp_methods@ */ |
d7ab1bab | 1918 | 0, /* @tp_members@ */ |
c90f712e | 1919 | PYGETSET(mpcrt), /* @tp_getset@ */ |
d7ab1bab | 1920 | 0, /* @tp_base@ */ |
1921 | 0, /* @tp_dict@ */ | |
1922 | 0, /* @tp_descr_get@ */ | |
1923 | 0, /* @tp_descr_set@ */ | |
1924 | 0, /* @tp_dictoffset@ */ | |
1925 | 0, /* @tp_init@ */ | |
1926 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1927 | mpcrt_pynew, /* @tp_new@ */ | |
3aa33042 | 1928 | 0, /* @tp_free@ */ |
d7ab1bab | 1929 | 0 /* @tp_is_gc@ */ |
1930 | }; | |
1931 | ||
1932 | /*----- Binary polynomials ------------------------------------------------*/ | |
1933 | ||
1934 | static PyObject *gf_pyrepr(PyObject *o) | |
e38168e2 | 1935 | { return mp_topystring(MP_X(o), 16, "GF(", "0x", ")"); } |
d7ab1bab | 1936 | |
1937 | static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op) | |
1938 | { | |
1939 | mp *xx, *yy; | |
1940 | int xl, yl; | |
1941 | int b; | |
1942 | ||
bf8910bd | 1943 | if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; |
d7ab1bab | 1944 | switch (op) { |
1945 | case Py_EQ: b = MP_EQ(xx, yy); break; | |
1946 | case Py_NE: b = !MP_EQ(xx, yy); break; | |
1947 | default: | |
1948 | xl = mp_bits(xx); | |
1949 | yl = mp_bits(yy); | |
1950 | switch (op) { | |
1951 | case Py_LT: b = xl < yl; break; | |
1952 | case Py_LE: b = xl <= yl; break; | |
1953 | case Py_GT: b = xl > yl; break; | |
1954 | case Py_GE: b = xl >= yl; break; | |
1955 | default: abort(); | |
1956 | } | |
1957 | break; | |
1958 | } | |
1959 | MP_DROP(xx); MP_DROP(yy); | |
1960 | return (getbool(b)); | |
1961 | } | |
1962 | ||
1963 | static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1964 | { | |
1965 | PyObject *x; | |
1966 | mp *z; | |
1967 | mp_pyobj *zz = 0; | |
1968 | int radix = 0; | |
827f89d7 | 1969 | static const char *const kwlist[] = { "x", "radix", 0 }; |
d7ab1bab | 1970 | |
827f89d7 | 1971 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", KWLIST, &x, &radix)) |
d7ab1bab | 1972 | goto end; |
1973 | if (GF_PYCHECK(x)) RETURN_OBJ(x); | |
f368b46e | 1974 | if (!good_radix_p(radix, 1)) VALERR("radix out of range"); |
d7ab1bab | 1975 | if ((z = mp_frompyobject(x, radix)) == 0) { |
1976 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf", | |
2a448f86 | 1977 | Py_TYPE(x)->tp_name); |
d7ab1bab | 1978 | goto end; |
1979 | } | |
1980 | if (MP_NEGP(z)) { | |
1981 | MP_DROP(z); | |
1982 | VALERR("gf cannot be negative"); | |
1983 | } | |
1984 | zz = (mp_pyobj *)ty->tp_alloc(ty, 0); | |
1985 | zz->x = z; | |
1986 | end: | |
1987 | return ((PyObject *)zz); | |
1988 | } | |
1989 | ||
d7ab1bab | 1990 | static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z) |
1991 | { | |
1992 | mp *xx = 0, *yy = 0, *zz = 0; | |
1993 | mp *r = 0; | |
1994 | PyObject *rc = 0; | |
1995 | ||
1996 | if ((xx = tomp(x)) == 0 || (yy = tomp(y)) == 0 || | |
1997 | (z && z != Py_None && (zz = tomp(z)) == 0)) { | |
1998 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
1999 | RETURN_NOTIMPL; | |
2000 | } | |
2001 | if (!z || z == Py_None) { | |
2002 | if (MP_NEGP(yy)) VALERR("negative exponent"); | |
2003 | r = gf_exp(MP_NEW, xx, yy); | |
2004 | } else { | |
2005 | gfreduce gr; | |
2006 | if (MP_ZEROP(zz)) ZDIVERR("zero modulus"); | |
2007 | if (MP_NEGP(yy)) { | |
2008 | if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end; | |
2009 | yy = mp_neg(yy, yy); | |
2010 | } | |
2011 | gfreduce_create(&gr, zz); | |
2012 | r = gfreduce_exp(&gr, MP_NEW, xx, yy); | |
2013 | gfreduce_destroy(&gr); | |
2014 | } | |
2015 | rc = gf_pywrap(r); | |
2016 | end: | |
2017 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
2018 | return (rc); | |
2019 | } | |
2020 | ||
91e56f06 MW |
2021 | static PyObject *gfmeth_sqr(PyObject *me) |
2022 | { return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me)))); } | |
d7ab1bab | 2023 | |
2024 | static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg) | |
2025 | { | |
2026 | PyObject *z = 0; | |
2027 | mp *yy = 0, *zz = MP_NEW; | |
2028 | ||
2029 | if (!PyArg_ParseTuple(arg, "O&:gcd", convgf, &yy)) goto end; | |
2030 | gf_gcd(&zz, 0, 0, MP_X(me), yy); | |
2031 | z = gf_pywrap(zz); | |
2032 | end: | |
2033 | if (yy) MP_DROP(yy); | |
2034 | return (z); | |
2035 | } | |
2036 | ||
2037 | static PyObject *gfmeth_gcdx(PyObject *me, PyObject *arg) | |
2038 | { | |
2039 | PyObject *z = 0; | |
2040 | mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW; | |
2041 | ||
2042 | if (!PyArg_ParseTuple(arg, "O&:gcdx", convgf, &yy)) | |
2043 | goto end; | |
2044 | gf_gcd(&zz, &uu, &vv, MP_X(me), yy); | |
2045 | z = Py_BuildValue("(NNN)", | |
2046 | gf_pywrap(zz), gf_pywrap(uu), gf_pywrap(vv)); | |
2047 | end: | |
2048 | if (yy) MP_DROP(yy); | |
2049 | return (z); | |
2050 | } | |
2051 | ||
2052 | static PyObject *gfmeth_modinv(PyObject *me, PyObject *arg) | |
2053 | { | |
2054 | PyObject *z = 0; | |
2055 | mp *yy = 0, *zz = MP_NEW; | |
2056 | ||
2057 | if (!PyArg_ParseTuple(arg, "O&:modinv", convgf, &yy) || | |
2058 | (zz = gf_modinv_checked(MP_NEW, yy, MP_X(me))) == 0) | |
2059 | goto end; | |
2060 | z = gf_pywrap(zz); | |
2061 | end: | |
2062 | if (yy) MP_DROP(yy); | |
2063 | return (z); | |
2064 | } | |
2065 | ||
a157093f MW |
2066 | static PyObject *gfmeth_fromstring(PyObject *me, |
2067 | PyObject *arg, PyObject *kw) | |
f281293c MW |
2068 | { |
2069 | int r = 0; | |
2070 | char *p; | |
2071 | Py_ssize_t len; | |
2072 | PyObject *z = 0; | |
2073 | mp *zz; | |
2074 | mptext_stringctx sc; | |
a157093f | 2075 | static const char *const kwlist[] = { "x", "radix", 0 }; |
f281293c | 2076 | |
a157093f MW |
2077 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "s#|i:fromstring", KWLIST, |
2078 | &p, &len, &r)) | |
f281293c MW |
2079 | goto end; |
2080 | if (!good_radix_p(r, 1)) VALERR("bad radix"); | |
2081 | sc.buf = p; sc.lim = p + len; | |
2082 | if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 || | |
2083 | MP_NEGP(zz)) { | |
2084 | if (zz) MP_DROP(zz); | |
2085 | VALERR("bad binary polynomial"); | |
2086 | } | |
2087 | z = Py_BuildValue("(Ns#)", gf_pywrap(zz), | |
2088 | sc.buf, (Py_ssize_t)(sc.lim - sc.buf)); | |
2089 | end: | |
2090 | return (z); | |
2091 | } | |
2092 | ||
91e56f06 MW |
2093 | static PyObject *gfmeth_irreduciblep(PyObject *me) |
2094 | { return getbool(gf_irreduciblep(MP_X(me))); } | |
d7ab1bab | 2095 | |
2096 | static PyObject *gfget_degree(PyObject *me, void *hunoz) | |
2097 | { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); } | |
2098 | ||
c90f712e | 2099 | static const PyGetSetDef gf_pygetset[] = { |
d7ab1bab | 2100 | #define GETSETNAME(op, name) gf##op##_##name |
2101 | GET (degree, "X.degree -> polynomial degree of X") | |
2102 | #undef GETSETNAME | |
2103 | #define GETSETNAME(op, name) mp##op##_##name | |
2104 | GET (nbits, "X.nbits -> bit length of X") | |
2105 | GET (noctets, "X.noctets -> octet length of X") | |
2106 | #undef GETSETNAME | |
2107 | { 0 } | |
2108 | }; | |
2109 | ||
c90f712e | 2110 | static const PyMethodDef gf_pymethods[] = { |
d7ab1bab | 2111 | #define METHNAME(func) gfmeth_##func |
2112 | METH (setbit, "X.setbit(N) -> X with bit N set") | |
2113 | METH (clearbit, "X.clearbit(N) -> X with bit N clear") | |
2114 | METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X") | |
91e56f06 | 2115 | NAMETH(sqr, "X.sqr() -> X^2") |
d7ab1bab | 2116 | METH (gcd, "X.gcd(Y) -> gcd(X, Y)") |
d96c882e | 2117 | METH (gcdx, "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)") |
d7ab1bab | 2118 | METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X") |
91e56f06 | 2119 | NAMETH(irreduciblep, "X.irreduciblep() -> true/false") |
a157093f MW |
2120 | KWSMTH(fromstring, "fromstring(STR, [radix = 0]) -> (X, REST)\n" |
2121 | " Parse STR as a binary polynomial, according to RADIX. If RADIX is\n" | |
2122 | " zero, read a prefix from STR to decide radix: allow `0b' for binary,\n" | |
2123 | " `0' or `0o' for octal, `0x' for hex, or `R_' for other radix R.") | |
2124 | SMTH (loadl, "loadl(STR) -> X: read little-endian bytes") | |
2125 | SMTH (loadb, "loadb(STR) -> X: read big-endian bytes") | |
2126 | SMTH (frombuf, "frombuf(STR) -> (X, REST): read buffer format") | |
d7ab1bab | 2127 | #undef METHNAME |
2128 | #define METHNAME(func) mpmeth_##func | |
1df8d5fe MW |
2129 | KWMETH(tostring, "X.tostring([radix = 10]) -> STR") |
2130 | KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes") | |
2131 | KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes") | |
d96c882e MW |
2132 | KWMETH(storel2c, "X.storel2c([len = -1]) -> " |
2133 | "little-endian bytes, two's complement") | |
2134 | KWMETH(storeb2c, "X.storeb2c([len = -1]) -> " | |
2135 | "big-endian bytes, two's complement") | |
91e56f06 | 2136 | NAMETH(tobuf, "X.tobuf() -> buffer format") |
d7ab1bab | 2137 | #undef METHNAME |
2138 | { 0 } | |
2139 | }; | |
2140 | ||
c90f712e | 2141 | static const PyNumberMethods gf_pynumber = { |
d7ab1bab | 2142 | gf_pyadd, /* @nb_add@ */ |
2143 | gf_pysub, /* @nb_subtract@ */ | |
2144 | gf_pymul, /* @nb_multiply@ */ | |
f7623015 | 2145 | #ifdef PY2 |
d7ab1bab | 2146 | 0, /* @nb_divide@ */ |
f7623015 | 2147 | #endif |
d7ab1bab | 2148 | gf_pymod, /* @nb_remainder@ */ |
2149 | gf_pydivmod, /* @nb_divmod@ */ | |
2150 | gf_pyexp, /* @nb_power@ */ | |
2151 | mp_pyid, /* @nb_negative@ */ | |
2152 | mp_pyid, /* @nb_positive@ */ | |
2153 | mp_pyid, /* @nb_absolute@ */ | |
2154 | mp_pynonzerop, /* @nb_nonzero@ */ | |
2155 | 0 /* doesn't make any sense */, /* @nb_invert@ */ | |
2156 | gf_pylsl, /* @nb_lshift@ */ | |
2157 | gf_pylsr, /* @nb_rshift@ */ | |
2158 | gf_pyand, /* @nb_and@ */ | |
2159 | gf_pyxor, /* @nb_xor@ */ | |
2160 | gf_pyor, /* @nb_or@ */ | |
f7623015 | 2161 | #ifdef PY2 |
d7ab1bab | 2162 | gf_pycoerce, /* @nb_coerce@ */ |
f7623015 | 2163 | #endif |
d7ab1bab | 2164 | mp_pyint, /* @nb_int@ */ |
f7623015 | 2165 | PY23(mp_pylong, 0), /* @nb_long@ */ |
d7ab1bab | 2166 | 0 /* doesn't make any sense */, /* @nb_float@ */ |
f7623015 | 2167 | #ifdef PY2 |
d7ab1bab | 2168 | mp_pyoct, /* @nb_oct@ */ |
2169 | mp_pyhex, /* @nb_hex@ */ | |
f7623015 | 2170 | #endif |
d7ab1bab | 2171 | |
2172 | 0, /* @nb_inplace_add@ */ | |
2173 | 0, /* @nb_inplace_subtract@ */ | |
2174 | 0, /* @nb_inplace_multiply@ */ | |
f7623015 | 2175 | #ifdef PY2 |
d7ab1bab | 2176 | 0, /* @nb_inplace_divide@ */ |
f7623015 | 2177 | #endif |
d7ab1bab | 2178 | 0, /* @nb_inplace_remainder@ */ |
2179 | 0, /* @nb_inplace_power@ */ | |
2180 | 0, /* @nb_inplace_lshift@ */ | |
2181 | 0, /* @nb_inplace_rshift@ */ | |
2182 | 0, /* @nb_inplace_and@ */ | |
2183 | 0, /* @nb_inplace_xor@ */ | |
2184 | 0, /* @nb_inplace_or@ */ | |
2185 | ||
2186 | gf_pydiv, /* @nb_floor_divide@ */ | |
2187 | 0, /* @nb_true_divide@ */ | |
2188 | 0, /* @nb_inplace_floor_divide@ */ | |
2189 | 0, /* @nb_inplace_true_divide@ */ | |
a90a9c0e MW |
2190 | |
2191 | mp_pyint, /* @nb_index@ */ | |
d7ab1bab | 2192 | }; |
2193 | ||
c263b05c | 2194 | static const PyTypeObject gf_pytype_skel = { |
591bf41b | 2195 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 2196 | "GF", /* @tp_name@ */ |
d7ab1bab | 2197 | sizeof(mp_pyobj), /* @tp_basicsize@ */ |
2198 | 0, /* @tp_itemsize@ */ | |
2199 | ||
2200 | mp_pydealloc, /* @tp_dealloc@ */ | |
2201 | 0, /* @tp_print@ */ | |
2202 | 0, /* @tp_getattr@ */ | |
2203 | 0, /* @tp_setattr@ */ | |
2204 | 0, /* @tp_compare@ */ | |
2205 | gf_pyrepr, /* @tp_repr@ */ | |
c90f712e | 2206 | PYNUMBER(gf), /* @tp_as_number@ */ |
d7ab1bab | 2207 | 0, /* @tp_as_sequence@ */ |
2208 | 0, /* @tp_as_mapping@ */ | |
ab723d73 | 2209 | mp_pyhash, /* @tp_hash@ */ |
d7ab1bab | 2210 | 0, /* @tp_call@ */ |
2211 | mp_pyhex, /* @tp_str@ */ | |
2212 | 0, /* @tp_getattro@ */ | |
2213 | 0, /* @tp_setattro@ */ | |
2214 | 0, /* @tp_as_buffer@ */ | |
2215 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2216 | Py_TPFLAGS_CHECKTYPES | | |
2217 | Py_TPFLAGS_BASETYPE, | |
2218 | ||
2219 | /* @tp_doc@ */ | |
d96c882e MW |
2220 | "Binary polynomials. Support almost all the standard arithmetic\n" |
2221 | "operations.\n" | |
2222 | "\n" | |
2223 | "Constructor GF(X, [radix = R]) attempts to convert X to a `GF'. If\n" | |
2224 | "X is a string, it's read in radix-R form, or we look for a prefix\n" | |
2225 | "if R = 0. Other acceptable things are field elements, elliptic curve\n" | |
f7623015 | 2226 | PY23( |
d96c882e | 2227 | "points, group elements, Python `int' and `long' objects, and anything\n" |
f7623015 MW |
2228 | "with an integer conversion.\n", |
2229 | "points, group elements, Python `int' objects, and anything with an\n" | |
2230 | "integer conversion.\n") | |
d96c882e MW |
2231 | "\n" |
2232 | "The name is hopelessly wrong from a technical point of view, but\n" | |
2233 | "but it's much easier to type than `p2' or `c2' or whatever.\n" | |
2234 | "\n" | |
2235 | "Notes:\n" | |
2236 | "\n" | |
2237 | " * Use `//' for Euclidean division: `/' gives exact rational division.", | |
d7ab1bab | 2238 | |
2239 | 0, /* @tp_traverse@ */ | |
2240 | 0, /* @tp_clear@ */ | |
2241 | gf_pyrichcompare, /* @tp_richcompare@ */ | |
2242 | 0, /* @tp_weaklistoffset@ */ | |
2243 | 0, /* @tp_iter@ */ | |
963a6148 | 2244 | 0, /* @tp_iternext@ */ |
c90f712e | 2245 | PYMETHODS(gf), /* @tp_methods@ */ |
d7ab1bab | 2246 | 0, /* @tp_members@ */ |
c90f712e | 2247 | PYGETSET(gf), /* @tp_getset@ */ |
d7ab1bab | 2248 | 0, /* @tp_base@ */ |
2249 | 0, /* @tp_dict@ */ | |
2250 | 0, /* @tp_descr_get@ */ | |
2251 | 0, /* @tp_descr_set@ */ | |
2252 | 0, /* @tp_dictoffset@ */ | |
2253 | 0, /* @tp_init@ */ | |
2254 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2255 | gf_pynew, /* @tp_new@ */ | |
3aa33042 | 2256 | 0, /* @tp_free@ */ |
d7ab1bab | 2257 | 0 /* @tp_is_gc@ */ |
2258 | }; | |
2259 | ||
d7ab1bab | 2260 | /*----- Sparse poly reduction ---------------------------------------------*/ |
2261 | ||
c263b05c MW |
2262 | static PyTypeObject *gfreduce_pytype; |
2263 | ||
d7ab1bab | 2264 | typedef struct gfreduce_pyobj { |
2265 | PyObject_HEAD | |
2266 | gfreduce mr; | |
2267 | } gfreduce_pyobj; | |
2268 | ||
2269 | #define GFREDUCE_PY(o) (&((gfreduce_pyobj *)(o))->mr) | |
2270 | ||
2271 | static PyObject *grmeth_exp(PyObject *me, PyObject *arg) | |
2272 | { | |
2273 | PyObject *rc = 0; | |
2274 | mp *yy = 0, *zz = 0; | |
2275 | ||
2276 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convgf, &yy, convgf, &zz)) | |
2277 | goto end; | |
2278 | if (MP_NEGP(zz)) { | |
2279 | if ((yy = gf_modinv_checked(yy, yy, GFREDUCE_PY(me)->p)) == 0) goto end; | |
2280 | zz = mp_neg(zz, zz); | |
2281 | } | |
2282 | rc = gf_pywrap(gfreduce_exp(GFREDUCE_PY(me), MP_NEW, yy, zz)); | |
2283 | end: | |
2284 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
2285 | return (rc); | |
2286 | } | |
2287 | ||
fbc145f3 MW |
2288 | static PyObject *grmeth_trace(PyObject *me, PyObject *arg) |
2289 | { | |
2290 | PyObject *rc = 0; | |
2291 | mp *xx = 0; | |
2292 | ||
2293 | if (!PyArg_ParseTuple(arg, "O&:trace", convgf, &xx)) goto end; | |
2294 | rc = PyInt_FromLong(gfreduce_trace(GFREDUCE_PY(me), xx)); | |
2295 | end: | |
2296 | if (xx) MP_DROP(xx); | |
2297 | return (rc); | |
2298 | } | |
2299 | ||
2300 | static PyObject *grmeth_halftrace(PyObject *me, PyObject *arg) | |
2301 | { | |
2302 | PyObject *rc = 0; | |
2303 | mp *xx = 0; | |
2304 | ||
2305 | if (!PyArg_ParseTuple(arg, "O&:halftrace", convgf, &xx)) goto end; | |
2306 | rc = gf_pywrap(gfreduce_halftrace(GFREDUCE_PY(me), MP_NEW, xx)); | |
2307 | end: | |
2308 | if (xx) MP_DROP(xx); | |
2309 | return (rc); | |
2310 | } | |
2311 | ||
2312 | static PyObject *grmeth_sqrt(PyObject *me, PyObject *arg) | |
2313 | { | |
2314 | PyObject *rc = 0; | |
2315 | mp *xx = 0, *yy; | |
2316 | ||
2317 | if (!PyArg_ParseTuple(arg, "O&:sqrt", convgf, &xx)) goto end; | |
2318 | if ((yy = gfreduce_sqrt(GFREDUCE_PY(me), MP_NEW, xx)) == 0) | |
2319 | VALERR("no modular square root"); | |
2320 | rc = gf_pywrap(yy); | |
2321 | end: | |
2322 | if (xx) MP_DROP(xx); | |
2323 | return (rc); | |
2324 | } | |
2325 | ||
2326 | static PyObject *grmeth_quadsolve(PyObject *me, PyObject *arg) | |
2327 | { | |
2328 | PyObject *rc = 0; | |
2329 | mp *xx = 0, *yy; | |
2330 | ||
2331 | if (!PyArg_ParseTuple(arg, "O&:quadsolve", convgf, &xx)) goto end; | |
2332 | if ((yy = gfreduce_quadsolve(GFREDUCE_PY(me), MP_NEW, xx)) == 0) | |
2333 | VALERR("no solution found"); | |
2334 | rc = gf_pywrap(yy); | |
2335 | end: | |
2336 | if (xx) MP_DROP(xx); | |
2337 | return (rc); | |
2338 | } | |
2339 | ||
d7ab1bab | 2340 | static PyObject *grmeth_reduce(PyObject *me, PyObject *arg) |
2341 | { | |
2342 | PyObject *z = 0; | |
2343 | mp *yy = 0; | |
2344 | ||
2345 | if (!PyArg_ParseTuple(arg, "O&:reduce", convgf, &yy)) goto end; | |
2346 | z = gf_pywrap(gfreduce_do(GFREDUCE_PY(me), MP_NEW, yy)); | |
2347 | end: | |
2348 | return (z); | |
2349 | } | |
2350 | ||
2351 | static void gfreduce_pydealloc(PyObject *me) | |
2352 | { | |
2353 | gfreduce_destroy(GFREDUCE_PY(me)); | |
3aa33042 | 2354 | FREEOBJ(me); |
d7ab1bab | 2355 | } |
2356 | ||
2357 | static PyObject *gfreduce_pynew(PyTypeObject *ty, | |
2358 | PyObject *arg, PyObject *kw) | |
2359 | { | |
2360 | gfreduce_pyobj *mr = 0; | |
2361 | gfreduce r; | |
827f89d7 | 2362 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 2363 | mp *xx = 0; |
2364 | ||
827f89d7 | 2365 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convgf, &xx)) |
d7ab1bab | 2366 | goto end; |
2367 | if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!"); | |
2368 | gfreduce_create(&r, xx); | |
2369 | mr = (gfreduce_pyobj *)ty->tp_alloc(ty, 0); | |
2370 | mr->mr = r; | |
2371 | end: | |
2372 | if (xx) MP_DROP(xx); | |
2373 | return ((PyObject *)mr); | |
2374 | } | |
2375 | ||
2376 | static PyObject *grget_m(PyObject *me, void *hunoz) | |
2377 | { return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); } | |
2378 | ||
c90f712e | 2379 | static const PyGetSetDef gfreduce_pygetset[] = { |
d7ab1bab | 2380 | #define GETSETNAME(op, name) gr##op##_##name |
2381 | GET (m, "R.m -> reduction polynomial") | |
2382 | #undef GETSETNAME | |
2383 | { 0 } | |
2384 | }; | |
2385 | ||
c90f712e | 2386 | static const PyMethodDef gfreduce_pymethods[] = { |
d7ab1bab | 2387 | #define METHNAME(name) grmeth_##name |
2388 | METH (reduce, "R.reduce(X) -> X mod B.m") | |
fbc145f3 | 2389 | METH (trace, "R.trace(X) -> Tr(X) = x + x^2 + ... + x^{2^{m - 1}}") |
d96c882e | 2390 | METH (halftrace, "R.halftrace(X) -> x + x^{2^2} + ... + x^{2^{m - 1}}") |
fbc145f3 MW |
2391 | METH (sqrt, "R.sqrt(X) -> Y where Y^2 = X mod R") |
2392 | METH (quadsolve, "R.quadsolve(X) -> Y where Y^2 + Y = X mod R") | |
d7ab1bab | 2393 | METH (exp, "R.exp(X, N) -> X^N mod B.m") |
2394 | #undef METHNAME | |
2395 | { 0 } | |
2396 | }; | |
2397 | ||
c263b05c | 2398 | static const PyTypeObject gfreduce_pytype_skel = { |
591bf41b | 2399 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 2400 | "GFReduce", /* @tp_name@ */ |
d7ab1bab | 2401 | sizeof(gfreduce_pyobj), /* @tp_basicsize@ */ |
2402 | 0, /* @tp_itemsize@ */ | |
2403 | ||
2404 | gfreduce_pydealloc, /* @tp_dealloc@ */ | |
2405 | 0, /* @tp_print@ */ | |
2406 | 0, /* @tp_getattr@ */ | |
2407 | 0, /* @tp_setattr@ */ | |
2408 | 0, /* @tp_compare@ */ | |
2409 | 0, /* @tp_repr@ */ | |
2410 | 0, /* @tp_as_number@ */ | |
2411 | 0, /* @tp_as_sequence@ */ | |
2412 | 0, /* @tp_as_mapping@ */ | |
2413 | 0, /* @tp_hash@ */ | |
2414 | 0, /* @tp_call@ */ | |
2415 | 0, /* @tp_str@ */ | |
2416 | 0, /* @tp_getattro@ */ | |
2417 | 0, /* @tp_setattro@ */ | |
2418 | 0, /* @tp_as_buffer@ */ | |
2419 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2420 | Py_TPFLAGS_BASETYPE, | |
2421 | ||
2422 | /* @tp_doc@ */ | |
d96c882e | 2423 | "GFReduce(N): a context for reduction modulo sparse polynomials.", |
d7ab1bab | 2424 | |
2425 | 0, /* @tp_traverse@ */ | |
2426 | 0, /* @tp_clear@ */ | |
2427 | 0, /* @tp_richcompare@ */ | |
2428 | 0, /* @tp_weaklistoffset@ */ | |
2429 | 0, /* @tp_iter@ */ | |
963a6148 | 2430 | 0, /* @tp_iternext@ */ |
c90f712e | 2431 | PYMETHODS(gfreduce), /* @tp_methods@ */ |
d7ab1bab | 2432 | 0, /* @tp_members@ */ |
c90f712e | 2433 | PYGETSET(gfreduce), /* @tp_getset@ */ |
d7ab1bab | 2434 | 0, /* @tp_base@ */ |
2435 | 0, /* @tp_dict@ */ | |
2436 | 0, /* @tp_descr_get@ */ | |
2437 | 0, /* @tp_descr_set@ */ | |
2438 | 0, /* @tp_dictoffset@ */ | |
2439 | 0, /* @tp_init@ */ | |
2440 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2441 | gfreduce_pynew, /* @tp_new@ */ | |
3aa33042 | 2442 | 0, /* @tp_free@ */ |
d7ab1bab | 2443 | 0 /* @tp_is_gc@ */ |
2444 | }; | |
2445 | ||
2446 | /*----- Normal/poly transformation ----------------------------------------*/ | |
2447 | ||
c263b05c MW |
2448 | static PyTypeObject *gfn_pytype; |
2449 | ||
d7ab1bab | 2450 | typedef struct gfn_pyobj { |
2451 | PyObject_HEAD | |
2452 | mp *p; | |
2453 | gfn ntop, pton; | |
2454 | } gfn_pyobj; | |
2455 | ||
d7ab1bab | 2456 | #define GFN_P(o) (((gfn_pyobj *)(o))->p) |
2457 | #define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton) | |
2458 | #define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop) | |
2459 | ||
2460 | static PyObject *gfn_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
2461 | { | |
2462 | mp *p = 0, *beta = 0; | |
2463 | gfn_pyobj *gg = 0; | |
827f89d7 | 2464 | static const char *const kwlist[] = { "p", "beta", 0 }; |
d7ab1bab | 2465 | |
827f89d7 | 2466 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", KWLIST, |
d7ab1bab | 2467 | convgf, &p, convgf, &beta)) |
2468 | goto end; | |
2469 | gg = PyObject_New(gfn_pyobj, ty); | |
79ac6c22 | 2470 | gg->p = 0; |
d7ab1bab | 2471 | if (gfn_create(p, beta, &gg->ntop, &gg->pton)) { |
79ac6c22 | 2472 | Py_DECREF(gg); |
d7ab1bab | 2473 | gg = 0; |
2474 | VALERR("can't invert transformation matrix"); | |
2475 | } | |
2476 | gg->p = MP_COPY(p); | |
2477 | end: | |
2478 | mp_drop(p); | |
2479 | mp_drop(beta); | |
2480 | return ((PyObject *)gg); | |
2481 | } | |
2482 | ||
2483 | static PyObject *gfnget_p(PyObject *me, void *hunoz) | |
2484 | { return (gf_pywrap(MP_COPY(GFN_P(me)))); } | |
2485 | ||
2486 | static PyObject *gfnget_beta(PyObject *me, void *hunoz) | |
2487 | { | |
2488 | gfn *n = GFN_NTOP(me); | |
2489 | mp *x = n->r[n->n - 1]; | |
2490 | return (gf_pywrap(MP_COPY(x))); | |
2491 | } | |
2492 | ||
2493 | #define XFORMOP(name, NAME) \ | |
2494 | static PyObject *gfnmeth_##name(PyObject *me, PyObject *arg) \ | |
2495 | { \ | |
2496 | mp *xx = 0; \ | |
2497 | mp *z = 0; \ | |
2498 | \ | |
2499 | if (!PyArg_ParseTuple(arg, "O&:" #name, convgf, &xx)) goto end; \ | |
2500 | z = gfn_transform(GFN_##NAME(me), MP_NEW, xx); \ | |
2501 | end: \ | |
2502 | mp_drop(xx); \ | |
2503 | if (!z) return (0); \ | |
62ce807d | 2504 | return (gf_pywrap(z)); \ |
d7ab1bab | 2505 | } |
2506 | XFORMOP(pton, PTON) | |
2507 | XFORMOP(ntop, NTOP) | |
2508 | #undef XFORMOP | |
2509 | ||
2510 | static void gfn_pydealloc(PyObject *me) | |
2511 | { | |
79ac6c22 | 2512 | if (GFN_P(me)) { |
b76bb841 | 2513 | MP_DROP(GFN_P(me)); |
79ac6c22 MW |
2514 | gfn_destroy(GFN_PTON(me)); |
2515 | gfn_destroy(GFN_NTOP(me)); | |
2516 | } | |
3aa33042 | 2517 | FREEOBJ(me); |
d7ab1bab | 2518 | } |
2519 | ||
c90f712e | 2520 | static const PyGetSetDef gfn_pygetset[] = { |
d7ab1bab | 2521 | #define GETSETNAME(op, name) gfn##op##_##name |
2522 | GET (p, "X.p -> polynomial basis, as polynomial") | |
2523 | GET (beta, "X.beta -> normal basis element, in poly form") | |
2524 | #undef GETSETNAME | |
2525 | { 0 } | |
2526 | }; | |
2527 | ||
c90f712e | 2528 | static const PyMethodDef gfn_pymethods[] = { |
d7ab1bab | 2529 | #define METHNAME(name) gfnmeth_##name |
2530 | METH (pton, "X.pton(A) -> normal-basis representation of A") | |
2531 | METH (ntop, "X.ntop(A) -> polynomial-basis representation of A") | |
2532 | #undef METHNAME | |
2533 | { 0 } | |
2534 | }; | |
2535 | ||
c263b05c | 2536 | static const PyTypeObject gfn_pytype_skel = { |
591bf41b | 2537 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 2538 | "GFN", /* @tp_name@ */ |
d7ab1bab | 2539 | sizeof(gfn_pyobj), /* @tp_basicsize@ */ |
2540 | 0, /* @tp_itemsize@ */ | |
2541 | ||
2542 | gfn_pydealloc, /* @tp_dealloc@ */ | |
2543 | 0, /* @tp_print@ */ | |
2544 | 0, /* @tp_getattr@ */ | |
2545 | 0, /* @tp_setattr@ */ | |
2546 | 0, /* @tp_compare@ */ | |
2547 | 0, /* @tp_repr@ */ | |
2548 | 0, /* @tp_as_number@ */ | |
2549 | 0, /* @tp_as_sequence@ */ | |
2550 | 0, /* @tp_as_mapping@ */ | |
2551 | 0, /* @tp_hash@ */ | |
2552 | 0, /* @tp_call@ */ | |
2553 | 0, /* @tp_str@ */ | |
2554 | 0, /* @tp_getattro@ */ | |
2555 | 0, /* @tp_setattro@ */ | |
2556 | 0, /* @tp_as_buffer@ */ | |
2557 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2558 | Py_TPFLAGS_BASETYPE, | |
2559 | ||
2560 | /* @tp_doc@ */ | |
d96c882e MW |
2561 | "GFN(P, BETA): an object for transforming elements of binary fields\n" |
2562 | " between polynomial and normal basis representations.", | |
d7ab1bab | 2563 | |
2564 | 0, /* @tp_traverse@ */ | |
2565 | 0, /* @tp_clear@ */ | |
2566 | 0, /* @tp_richcompare@ */ | |
2567 | 0, /* @tp_weaklistoffset@ */ | |
2568 | 0, /* @tp_iter@ */ | |
963a6148 | 2569 | 0, /* @tp_iternext@ */ |
c90f712e | 2570 | PYMETHODS(gfn), /* @tp_methods@ */ |
d7ab1bab | 2571 | 0, /* @tp_members@ */ |
c90f712e | 2572 | PYGETSET(gfn), /* @tp_getset@ */ |
d7ab1bab | 2573 | 0, /* @tp_base@ */ |
2574 | 0, /* @tp_dict@ */ | |
2575 | 0, /* @tp_descr_get@ */ | |
2576 | 0, /* @tp_descr_set@ */ | |
2577 | 0, /* @tp_dictoffset@ */ | |
2578 | 0, /* @tp_init@ */ | |
2579 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2580 | gfn_pynew, /* @tp_new@ */ | |
3aa33042 | 2581 | 0, /* @tp_free@ */ |
d7ab1bab | 2582 | 0 /* @tp_is_gc@ */ |
2583 | }; | |
2584 | ||
2585 | /*----- Glue --------------------------------------------------------------*/ | |
2586 | ||
810542b0 MW |
2587 | static const struct nameval consts[] = { |
2588 | CONST(MPW_MAX), | |
2589 | { 0 } | |
2590 | }; | |
2591 | ||
d7ab1bab | 2592 | void mp_pyinit(void) |
2593 | { | |
2594 | INITTYPE(mp, root); | |
2595 | INITTYPE(gf, root); | |
32507e35 | 2596 | INITTYPE(mpmul, root); |
d7ab1bab | 2597 | INITTYPE(mpmont, root); |
2598 | INITTYPE(mpbarrett, root); | |
2599 | INITTYPE(mpreduce, root); | |
2600 | INITTYPE(mpcrt, root); | |
2601 | INITTYPE(gfreduce, root); | |
2602 | INITTYPE(gfn, root); | |
d7ab1bab | 2603 | } |
2604 | ||
2605 | void mp_pyinsert(PyObject *mod) | |
2606 | { | |
2607 | INSERT("MP", mp_pytype); | |
32507e35 | 2608 | INSERT("MPMul", mpmul_pytype); |
d7ab1bab | 2609 | INSERT("MPMont", mpmont_pytype); |
2610 | INSERT("MPBarrett", mpbarrett_pytype); | |
2611 | INSERT("MPReduce", mpreduce_pytype); | |
2612 | INSERT("MPCRT", mpcrt_pytype); | |
2613 | INSERT("GF", gf_pytype); | |
2614 | INSERT("GFReduce", gfreduce_pytype); | |
2615 | INSERT("GFN", gfn_pytype); | |
810542b0 | 2616 | setconstants(mod, consts); |
d7ab1bab | 2617 | } |
2618 | ||
2619 | /*----- That's all, folks -------------------------------------------------*/ |